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Transcript of German English Mat 00 Hym A
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German-English mathematics diction
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GERMAN-ENGLISH
MATHEMATICS
DICTIONARYCOMPILED AND EDITED BY
CHARLES HYMAN
®>/NTERLANGUAGE DICTIONARIES
ESERVEDFORERENCE
FADINGil^u'! -..-'
NOT TO BE TAKENFROM THE LIBRARY
]
Library of Congress Catalog Card Number: 59-15818
Copyright 1960 by
Interlanguage Dictionaries Publishing Corp.
227 W. 17th St., New York 11, N.Y.
All rights reserved. No part of this publicationmay be reproduced in any form without written
permission from the publisher.
Printed in the United States of America
PREFACE
Rapid development in any scientific field is almost invariably ac-
companied by a parallel development in language. Since the advance-
ment of human knowledge in many fields is today truly an international
endeavor, there exists an ever-increasing need for up-to-date multi-
lingual scientific dictionaries.
Recent advances in such fields as astrophysics and automation have
again emphasized the importance of the study of mathematics, a study
in which reference to German books and periodicals remains of great
importance. It may therefore be assumed that workers in many fields,
as well as students and teachers, will find this "German- English Dic-
tionary of Mathematics" a valuable tool by reason of its listing of newly
coined expressions and of the varied meanings of the same term ac-
cording to different applications. For the same reasons, translators
will find it a safe guide in the choice of precise terms.
The author, Charles J. Hyman, after studying at Columbia and
Fordham universities and at the Brooklyn Polytechnic Institute, was a
professor of mathematics at the University of the Philippines and a
civil engineer in the service of the U.S. Coast and Geodetic Survey.
Later he was active as a translator of books on higher mathematics and
engineering and editor of a German- English physics dictionary. He is
widely known as an expert in mathematics and the related sciences.
THE PUBLISHERS
Digitized by the Internet Archive
in 2012 with funding from
LYRASIS members and Sloan Foundation
http://archive.org/details/germanenglishmatOOhyma
FOREWORD
The terms that constitute this "German-English Dictionary of
Mathematics" have been collected from textbooks and other authori-
tative works in the field of mathematics on the basis of long years of
experience in scientific and technical translation.
The present work is intended as a supplement to, and not as a sub-
stitute for, a general German- English dictionary. The student of Germanwill note immediately that the nontechnical every-day translations of
many terms have been excluded. On the other hand, every effort has
been made to include all possible translations applicable in mathematics
and related fields. An example will illustrate this point:
Zug (m ) circuit, path, track; closed curve (on
Riemann surface); drawing (of a ball);
(phys.) pull, tension
Another device employed to eliminate guesswork and mistranslation is
the use of model phrases and sentences showing the application of a
term in context. For example:
Eikonalgleichung (f) eiconal equation, die
E. gehorcht dem Fermatschen Gesetzder kiirzesten Ankunft: the eiconal equa
-
tion obeys Fermat's law of least time
Not counting subtitles, synonyms, etc., this dictionary contains
more than 8500 entries, many of them not available either in large Ger-
man-English dictionaries or in bilingual technical and scientific works.
Users of this dictionary are invited to communicate their comments
and suggestions to the author in care of the publisher.
CHARLES J. HYMAN
ABBREVIATIONS
(a) adjective
(adv) adverb
(astr.) astronomy
cf. confer
(chem.) chemistry
(cryst.) crystallography
(dat.) dative
(descr.) descriptive geometry
(elec.) electricity
(electron.) electronics
(engin.) engineering
(f) feminine
(geog.) geography
(geom.) geometry
(log.) logic
(mach.) machinery
(magnet.) magnetism
(math.) mathematics
(meas.) measure(mech.) mechanics
(n) neuter
(N) proper name(opt.) optics
(phot.) photography
(phys.) physics
(pi.) plural
(sing.) singular
(statist.) statistics
(surv.) surveying
(symb.) symbol
(vi) intransitive verb
(vr) reflexive verb
(v. recip.) reciprocal verb
(vt) transitive verb
Abakus (m) abacusabandem (vt) alter, change, modify,
vary
Abanderung (f) change, modification,variation
Abbild (n) image; mapab bil den (vt) map, make an image of
Abbildung (f) map, mapping, image,projection, representation.flachentr eue A : equal-area mappingor projection;
konforme oder winkeltreue A;
conformal or angle -preserving or
isogonal mapping;langentreue A: length-preserving or
equidistant mappingAbbildungsprinzip (n) mapping
principleAbbildungssatz (m) mapping theorem
or principleAbbildungs verfahren (n) mapping
method or process
ab bosch en (vt, vi) slant, slope
Abboschung ( f ) slant, slanting, slopingab brechen (vt, vi) break off.
die Reihe nach dem ersten Gliedabbrechen: break off the series
after the first termAbel (N) Abelscher Hilfssatz: Abel's
lemma; Abelsche Asymptotik:Abelian asymptotic behavior;Abelsches Integral: Abelian integral
Aberration (f) aberrationAberrations winkel (m) angle of aber-
ration
A b f a 1
1
(m) decrease, drop
abfal len (vi) decline, decrease, slope
downabflachen (vt, \r) flatten; level off;
become flat or level
Abflachung (f) flatteningabgeflacht (a) flattened
abgekehrt (a) turning away. (cf.
abge wand t)
abge kiirz t (a) abbreviated, abridged,short, .shortened
abgeleitet (a) derivedAbgeleitete ( f ) derivative, derived
function
abgeplattet (a) flattened, oblatea bgeschl osse n (a) closedA bges chlossenh eit (f) closure.
A. einer Funktionenfolge: clo-
sure of a sequence of functions
Abgeschlossenheitskri ter ium (n)
closure criterion
abgestumpft (a) truncatedabgestutzt (a) truncatedabgewandt (a) turning away.
abgewandte Spitze: ceratoidcusp
abgrenzen (vt) bound, delimit,
dem ar ca te
Abgrenzung (f) delimitation, de-marcation
abhangig (a) dependentAbhangigkei t (f) dependenceAbhangigkeitskoeffizient (m)
coefficient of contingencyabkurzen (vt) abridge, shortenAblauf (m) course, passageablauf en (vi) pass; run down; waneableitbar (a) deducibleAbleitbarkeit (f) deducibilityableiten (vt) deduce, derive;dif-
ferentiate (a function)Ableitung (f) derivation; derivate;
derivative, derived function,differential coefficient, differen-tial quotient, differentiation
Ableitungsformel (f) formula for
derivativesA bleitungs gl eichung (f) equation
for derivativesAbl eitungsindex (m) derivative
subscript
A bl eitungsor dnung (f) order of
derivativeAbleitungsprozess (m) process of
differentiation, derivative proc-ess
A bleitungs ye ktor (m) derivativevector
ablenken (vt) deflect, divert
Abl enkung ( f ) deflection, deviation,diversion
Abl enkungsfeld (n) deflecting field
Abl enkungskr aft (f) deflecting force
A bl enkungspr is ma (n) deviationprism
Ablenkungs winkel (m) angle of deflec-
tion
Ablenkungsz ahl (f) coefficient of de-flection
ablesen (vt) read off
Ablesung ( f ) readingabmess en (vt) measure off
Abmessung (f) measurementAbnahme (f) decrease, decrementabnehmen (vi) decreaseabnehmend (a) decreasingabplatten (vt, vr) flatten, make oblate;
become oblateAbplattung (f) flattening, ellipticity,
oblateness; pi atykurtos is (of fre-
quency curve)abrollen (vt, vi, vr) unroll, unwind;
(with auf) roll, or unroll, uponAbrollen (n) unrolling, unwindingabrunden (vt) round off; smoothAbrundung (f) rounding off; smoothingAbrundungsfehler (m) error in rounding
off
abschatzen (vt) estimate, appraise;
evaluateAbschatzung (f) estimate, appraisal;
evaluationAbschatzungsfunktion (f) estimating
function
abscheiden (vt, vr) separate; removeAbscheidung (f) separation; removalabschliessen (vt) close off
Abschliessung (f) closure
abschneiden (vt) cut off, intercept,
subtendAbschneidung (f) cutting off
Abschnitt (m) section, segment, inter-
cept
absch wachen (vt) reduce, weakenAbschwachen (n), Abschwachung (f)
reduction, weakeningAbsicht (f) aim, purposeabsolut (a) absoluteAbsolutglied (n) absolute termAbso lutheit ( f ) absolutenessAbsolutwert (m) absolute valueabsondern (vt) detach, separateAbsonderung (f) removal, separationAbsorptions gesetz (n) law of absorptionabspalten (vt) split off
Abspaltung (f) splitting off
Abstand (m) distance, lengthabstandsgleich (a) equidistantAbstandspunkt (m) (astr.) apsis
Abstandstripel (n) distance triplet
Abstandsverhaltnis (n) distanceratio
abstecken (vt) lay or mark out, plotAbs teckung (f) laying or staking out,
plotting
abstehen (vi) be distant fromabsteigen (vt) descendabstossen (vt) repel
Abstossung (f) repulsionAbs tossungskraft (f) repelling forceabstra kt (a) abstractA bs tra ktion (f) abstractionabstreichen (vt) cross out, discardabstumpfen (vt) truncateabstutzen (vt) truncateabsurd (a) absurdAbsurditat (f) absurdityAbszisse ( f ) abscissa
Abszissenachse (f) axis of abscissas
Abszissendifferenz (f) difference of
abscissas
abteilen (vt) divide; separateAbteilung (f) division; separation
(from)abtragen (vt) lay or measure off
Abtragung (f) laying or measuringoff
abtrennen (vt) separate, removeAbtrennung (f) separation; removala bwar ts (a) downwardabwechs eln (vi) alternateabwechselnd (a) alternate, alternat-
ing
Abwechslung ( f ) alternationabweichen (vi) deviate, be deflectedAbweichung (f) deviation; deflec-
tion; variation, varianceA bweichungs moment (n) deviation
mom ent
Abweichungspunkt (m) deviationpoint
Abweichungs winkel (m) angle of de-
flection or deviation; (astr.) de-
clination
abw er fen (vt) net (as profit)
abwickelbar (a) developableAbwic kelbarkeit (f) de velopability
A bwickelkrummung (f) tangential
curvature, geodesic curvature
abwickeln (vt) develop or unroll,
unwindAbwickelung (f) development, un-
rolling; unwinding
Abwicklungskurv e (f) involuteabzahlbar (a) countable, denumerable,
enumerableAbzahl barkeit (f) countability , denumer
ability, enu m erabili ty
abzahlbarviel (a) having cardinalityaleph-null (K )
abzahlen (vt) count, denumerate, enu-merateabzahlende Geometrie : enumerativegeometry
Abzahlung (f) count(ing), denumerationab Zieh en (vt) subtract
Abzinsu ngsf ak tor (m) present worth of
a unit amountAbzug (m) deductionAchs e (f) axis, line of referenceAchsenabsch nitt (m) intercept on axis
Achs enabstand (m) distance of axis
Achsendrehung (f) rotation or revolu-tion about an axis
Achs endreibein (n), A chsendr eieck (n)
trihedral (angle) of coordinate axes
achsenf or mig (a) axial
Achs enkoord inat e (f) axial coordinateA c hsenkreuz (n) figure of an axial
system of coordinatesAchsenlange (f) length of axis
Achs enrichtung (f) direction of axis (or
axes), axial directionAchs enschnitt (m) section through the
axis; intercept on an axis
Achs enschnitt form (f) intercept formof equation (of line, etc.)
Achs ensum m e (f) sum of the axesAchs ensymmetrie (f) axial symmetryachsens ymm etris ch (a) axially symmet-
rical
Achsenverhaltnis (n) axial ratio
Achs en wink el (m) angle between axes,
angle of ordination, axial angleach t eight; eighthAcht (f) figure eightAcht eck (n) octagonAchtel (n) eighth part
Achtelellipsoid (n) octant of an ellip-
soid
Acht elflach (n) ogdohedronachtelflachig (a) ogdohedralAchtelflachner (m) ogdohedronAchtelkugel (f) octant of a sphere
Achtelmeile (f) furlonga ch tens (adv) in the eighth place,
eighthly
A chter (m) figure eight
Achterkurve (f) figure eightachtfach (a) eightfoldachtfaltig (a) eightfoldAch tflach (n) octahedronachtflachig (a) octahedralA chtfi ach ner (m) octahedronachtmal e ight timesachtmalig (a) eight timesachtseitig (a) eight-sidedachtzahlig (a) octupleach tzehn eighteena ch tzig eightyachtzigs t eightieth
Adabsurdumfuhrung (f) reductio adabsurdum
Addend (m) addendaddieren (vt, vi) add. zu addierende
Konsta nte: additive constantAddiermaschine (f) adding machineAddierung (f) additionAddition (f) additionA dditionsf ehler (m) mistake in addi-
tion
Additionsf ormel (f) addition formulaAdditionsmaschine (f) adding machineA dditionszeichen (n) addition or plus
sign
additiv (a) additiveA diabate (f) adiabatic curveadiabatisch (a) adiabaticadjungieren (vt) adjoinadjungiert (a) adjointA djungiert e (f) adjoint, complementAdjunkte (f) complementary deter-
minant, algebraic complement,cofactor
Adjunkti on (f) adjunctionAdler (m) eagle; back or tail of coinAffensattel (m) monkey saddle (point),
parabolic umbilicaffin (a) affine. affiner Zusammen-
hang: affine connectivity or
relationship
Affinitat (f) affinity
Affinitatsachse (f) axis of affinity
A gg re g at ( n ) a gg re g ate
Aggregatzustand (m) state of matterahnlich (a) similar
ahnlich-geordnet (a) similarly or-
deredahnlich- isomorph (a) order -isomor-
phic
A*hnlichkeit (f) similarity, similitude
A hnlichkeitsachse (f) axis of similitudeAhnlichkeitskreis (m) circle of simili-
tude
Ahnlichkeitspunkt (m) center of simili-
tude
Ahnlichkeitstransformation (f) trans-
formation of similarity or simili-
tude; homothetic transformationAhnlichkeitsverhaltnis (n) ratio of
similitudeMAhnlichkeitszentrum (n) center of
similitudeAhrenkurve ( f ) Cotes' spiral, epi
Ak tion ( f ) actionaktuell (a) actualAkus tik (f) acousticsakustisch (a) acousticAkzeleration (f) accelerationAkzeptierungseigenschaft (f) operating
characteristic functionakzessorisch (a) accessoryAleph (n) Hebrew letter K
Alephformel (f) aleph formulaAl ephhypothese (f) aleph hypothesisAlgebra (f) algebraalgebraisch (a) algebraicalgebraisch-abgeschlossen (a) alge-
braically closed or completeal<gebraisier en (vt) algebraizeAlgebraisierung (f) algebr aiza tion
Al gebrenklass e (f) class of algebrasAlgebrenklassengruppe (f) group of
classes of algebrasAlgorithmus (m) algorithmaliquot (a) aliquotallgemein (a) general, generic, univer-
sal, literal
allgemeingultig (a) generally or uni-versally valid
Allgemeinheit (f) generalityAllgemeinzeichen (n), Allzeichen (n)
universal quantifierAlpha (n) Greek letter alpha (A, cc)
Al ternative (f) alternative.
Fredholmsche A : Fredholm's alter-
nativealternieren (vi) alternate.
alternierendes Verfahren: alter-
nating method of process (of Schwarz)Altersgliederung (f) age distributionAl tersversicherung (f) old-age insuranceA m p er e (n) ampereAmperemeter (n) ammeterAmperestunde ( f ) ampere-hour
Am plitude (f) amplitude, anomaly,azimuth, polar angle
Amplitudengleichheit (f) equalityof amplitudes
Amplitudenfunktion (f) function of
the amplitudeAmplitudenkonstante (f) amplitude
constantAmplitudenkurve (f) amplitude
curveAmplitudenvektor (m) amplitude
vectorAmplitudenverhaltnis (n) amplitude
ratio
anaklastisch (a) anaclasticana 11a gma tis ch (a) anallagmaticanalog (a) analogousAnalogie ( f ) analogyAnalogiemaschine (f) analog com-
puter
Analogon (n) analogon, analogAnalyse (f) analysis
Analysenfelhler (m). error in anal-ysis
analysieren (vt) analyzeAnalysis (f) analysis
analytisch (a) analytic
analy tisch- geometrisch (a) analy-tic- geometric
ander (a) other
andern (vt, vr) change, vary
anderthalb (a) one and a half-w
Anderung (f) change, variation
Anderungsgeschwindigkeit (f) rate
of changeaneinanderliegend (a) mutually
adjacentaneinanderstossen (vi) join, abut
Anfangsbedingung (f) initial con-dition
Anfangsdaten (npl) initial data or
conditionsAnfangsgeschwindigkeit (f) initial
velocityAnfangskoeffizient (m) leading
coefficientAnfangslage (f) initial position
Anfangsoszillation (f) initial os-
cillation
Anfangspunkt (m) initial point,
origin, starting point
Anfangsrichtung (f) initial direc-
tion
Anfangswert (m) initial value
10
Anfangszahl (f) initial numberAnfa ngszeit (f) initial timeAn fangszustand (m) initial state
angena'hert (a) approximateangeordne t (a) orderedangeschrieben (a) escribedangewandt (a) appliedangleichen (vt) equate, adjust, adaptAngl eichung (f) equality, adjustmentangreifen (vi) be applied, act on
angrenzen (vi) be adjacent or con-tingous
Angriffspunkt (m) point of applicationangu 1 ar (a) angularAnhaltspunkt (m) distinguished point
(of curve)anhangen (vt) annex, appendanharmonisch (a) anharmonicanhaufen (vt, vr) accumulate, cluster
Anhaufung (f) accumulation, cluster
anisometr isch (a) anisometricanisotrop (a) anisotropicAnisotropie (f) anisotropyaniso tf opisch (a) anisotropicAnkr ei s (m) escribed circle
Ankreishalbmesser (m) radius of es-
cribed circle
Ankreismittelpunkt (m) center of es-
cribed circle, excenteranliegen (vi) be adjacentanliegend (a) adjacentannahern (vt, vr) approach, approxi-
mateAnnaherung (f) approach, convergence;
approximationAnnaherungsflache ( f ) approximation
surfaceAnnaherungsgrad (m) degree of approxi-
mationAnnaherungskurve (f) approximation
curveAnnaherungsverf ahren (n) method of
approximationannaherungsweise (adv) approximatelyAnnaherungswert (m) approximate
valueAnnahm e ( f ) assumption, hypothesisAnnahmez if fer (f) acceptance numberannehmen (vt) assume; acceptannullier en (vt) annihilateAnnullierung (f) annihilationanomal (a) abnormal, anomalousAnomalie ( f ) anomaly; amplitude,
argument, polar angle
anordnen (vt) arrange, order
Anordnung (f) arrangement, order,
array
anormal (a) abnormalanpassen (vt) fit, adaptAnpassung (f) fitting
Anpassungsf ah igkeit (f) adaptabilityAnsa tz (m) formulation or set-up
(of an equation)anschaulich (a) intuitive; graphic,
visual
Anschauung (f) inspection; intuition
Anschauungsbe griff (m) intuitive
ideaanschmiegen (vt) adapt to, fit to;
(vr) press against, osculateAnschmiegung (f) osculation;
adaptationanschreiben (vt) write down, es-
cribe
ansetzen (vt) set up (an equation)Ansicht (f) viewAnsicht ebene (f) plane of projec-
tion
anspannen (vt) stretch
Anspruch (m) claimanstoss en (vi) be adjacent or con-
tigous; strike (against), impingeanstoss end (a) adjacentanstr eichen (vt) markAnteil (m) share, portion, compo-
nent
antiautomorph (a) an tiautomor phicAntiautomorphismus (m) antiauto-
morphismantiisomorph (a) anti-isomorphicAn tiisomorphismus (m) anti-iso-
morphismAntikausti k (f) anticaustic, second'
ary caustic
antiklastisch (a) anticlastic
antikommut ativ (a) anticommuta-tive
Antikommutator (m) anticom muta-tor
Antilogarithmus (m) antilogarithm
Antinomie (f) antinomyantiparallel (a) antiparallel
antireflexiv (a) antir ef lexive
Antisymmetrie (f) antisymmetryantisymmetris ch (a) antisymmetricAntithese (7) antithesis
anwachsen (vi) accrueanwenden (vt) apply
11
Anwendun g (f) applicationAnwinkel (mpl) pair of interior (ex-
terior) angles on same side of
transversal cutting two lines
An zahl ( f ) numberAnzahl begrif f (m) concept of numberanziehen (vt) attract
Anziehung (f) attraction, pull
An zi ehun gsges et z (n) law of attrac-
tion
Anziehungskraft ( f ) attractive force
ap eriodisch (a) aperiodicAphel (n) aphelionApogaum (n) apogeeapolar (a) apolarApol aritat ( f ) apolarity
aposteriorisch (a) a posteriori
Applikate (f) y-coordinate (in twodimensions), z-coordinate (in three
dimensions)Applikatenachse (f) y-axis (in two
dimensions), z-axis (in three di-
mens ions)
Approxim ation (f) approximation.grobe A . : crude or rough approxi-mation
Approxim ationsmethode (f) method of
approximationAppr ox im at ions theorie ( f ) theory of
approximationapproximativ (a) approximateapproximier en (vt) approximateapriorisch (a) a priori
Apsidal fl ache ( f ) apsidal surface
Apsiden (fpl) apsides
Apsidenlinie (f) line of apsidesApsis (f) apsis
Aqua tor (m) equatorAqua tor achs e (f) equatorial axis
Aqua torbreit e *(f) equatorial latitude
Aqua torea 1 (n) equatorialAqua toreb ene ( f ) plane of equatorAqua torhohe (f) equatorial altitude
Aqua torial (n) equatorialaquatorial (a) equatorialAqua torialboe en (m) equatorial arc-J5 "
jf3
Aquatorialflache (f) equatorial surface
Aquatorialsystem (n) equatorial systemaquianharmonisch (a) equianharmonicaquidis ta n t (a) equidistantAqui dis ta nz ( f ) equal distanceaquilong (a) equilong. aquilonge
Abbildung: equilong mappingaquinoktial (a) equinoctial
Aquinoktium (n) equinox_n— „Aquipotentialflache (f) equipoten-
tial surface
Aquivalent (n) equivalentaquivalent (a) equivalentAquivalenz (f) equivalenceAquivalenzbeweis (m) equivalence
proofAquivalenzbeziehung (f) equivalence
relation
Aquivalenzgesetz (n) equivalencelaw or principle
A quivalenzpr inzip (n) principle of
equi val enceAquivalenzrelation ( f ) equivalence
relation
Aquivalenzsatz (m) equivalencetheorem
Arbeit (f) workArbeitseinheit (f) unit of workArbeitsf ahigkeit (f) capacity for
doing work, energyarbi trar (a) arbitrary
arcus ( m ) arc ( = Arkus )
arcus cosecans (m) arc or inverse
cosecantarcus cosecans hyperbolicus (m) arc
or inverse hyperbolic cosecantarcus cosinus (m) arc or inverse
cosinearcus cosinus hyperbolicus (m) arc
or inverse hyperbolic cosine
arcus co tangens (m) arc or inverse
cotangentarcus cotangens hyperbolicus ( m)
arc or inverse hyperbolic co-
tangentarcus secans (m) arc or inverse se-
cantarcus secans hyperbolicus (m) arc
or inverse hyperbolic secant
arcus sinus (m) arc or inverse sine
arcus sinus hyperbolicus (m) arc or
inverse hyperbolic sine
arcus tangens (m) arc or inverse tan-
gent
arcus tangens hyperbolicus (m) arc
or inverse hyperbolic tangent
Argument (n) argument, amplitude,
polar angle; independent vari-
able or ar gum en t
Argumentbereich (m) argument do-
mainArgumentklasse (f) argument class
12
Ar gumen tmenge ( f ) argument set
Arithmetik (f) arithmeticArith metiker (m) arithmeticianarithmetisch (a) arithmeticAr kus (m) arc ( = arcus )
Ar kusfunktion (f) arc or inverse trigo-
nometric function, antitr igonomet
-
ric functionAr kuskosekans (m) arc or inverse cose-
cantAr kuskosinus (m) arc or inverse cosineAr kuskotangens (m) arc or inverse co-
tangentArkussekans (m) arc or inverse secantAr kussinus (m) arc or inverse sine
Arkustangens (m) arc or inverse tan-
gentArt (f) kind, species
artmassig (a) qualitativeassoziativ (a) associative
Assoziati vgesetz (n) associative lawAs t (m ) branch (of curve)Asteroid (m) asteroid, planetoidAs teroide ( f ), Astroide (f) astroid,
tetracuspid, four-cusped hypocyc-loid
As tronomie ( f ) astronomyAsymmetrie ( f ) asymmetry; skewnessasymmetrisch (a) asymmetricAsymptote (f) asymptoteAsy mpto tenebene (f) asymptotic planeAsymptotengleichung ( f ) equation for
asymptotesAsy mptot enkegel (m) asymptotic coneAs ymptot enlinie ( f ) asymptotic line or
curveAs ymptot enprodukt (n) product of
asymptotic factors
Asymptotenrichtung (f) asymptoticdirection
As ymptotenwinkel (m) angle betweentwo asymptotes
As ymptotik ( f ) asymptotic behaviorasy mptotisch (a) asymptoticAtom (n) atoma tom ar (a) atomicAtomba u (m) atomic structure
Atom gewi ch t (n) atomic weightAtomkern (m) atomic nucleusAtomnumme r (f) atomic numberAtom zahl ( f ) atomic numberAtomzerf all (m) atomic decay or dis-
integrationAtom zertriim merung (f) atom smashing
or splitting
Auf einanderf ol ge ( f ) successionaufeinanderfolgen (vi) follow one
after anothera ufeinanderfolgend (a) consecutiveaufeinanderl egen (vt) superimpose,
superposeAufeinanderl egun g (f) superpositiona uf f assen (vt) conceive; regard; viewAuffassung ( f ) conception; point of
view , standpoint.
dynamische A. der Metrik: met-rics from the standpoint of dyna-mics
Auf fassungsweise (f) = AuffassungAuf gabe (f) exercise, problemaufgehen (vi) leave no remainder,
divide without remainderaufheben (vr) cancel (out)
Aufhebung (f) cancellationaufklappen (vt) turn up
auf lo sbar (a) solvableAuf losbark eit (f) solvability
auf lo s en (vt) resolve, solve; reduce(a fraction), remove (parentheses),
untie (a knot)
Auflosung (f) solution; resolution (of
singularities), untying (of a knot)
A ufpunkt (m) test point
aufrechterhalten (vt), aufrechthalt en
(vt) maintain, preserveAufrechterhaltung (f), Auf rechthal -
tung (f) maintenance, preserva-tion
Auf riss (m) elevation, vertical pro-
jectionAufrissebene ( f ) vertical projection
planeaufrollen (vt, vr) roll up
aufrunden (vt) round off
Aufrundung (f) rounding off
aufschlitzen (vt) rip up, slit.
die langs der imaginaren Achseauf ges chlitz te k omplexe Ebene:
the complex plane slotted (or
slit) along the imaginary axis
aufspaltbar (a) decomposableaufspalten (vt) split up
Aufspaltung (f) splitting up
Aufspaltungsbil d (n) decompositiondiagram
Aufspaltungs faktor (m) factor of
splitting up
aufspannen (vt) spanaufs teigen (vi) ascendAufsteigung (f) ascension
13
aufsuchen (vt) seek out, search for
Aufsuchung ( f ) searchau ftr agen (vt) lay off, plot; transfer
Auf tragung (f) laying off, plottingau ftref fen (vi) fall or strike upon, im-
pingeAuftr ef fen (n) impact, impingementAuftreffgeschwindigkeit (f) speed of
impactAu ftr ef fpunkt (m) point of impactAuftr ef fwinkel (m) angle of impact
or incidenceaufw arts (adv) upwardaufzahl en (vt) enumerateAufz ahlung ( f ) enumerationaufze ichnen (vt) draw, sketch; recordAufzeichnung ( f ) drawing, sketch; plot
tin gAufzinsungsfaktor (m) coefficient of
the present worthAuge (n) eye; pip or spot (on a die)
Augenblic k (m) instant, momentaugenblicklich (a) instantaneousAugenpunkt (m), Augpunkt (m) point
of sight or vision; orthogonal pro-jection of point; principal point
ausar beit en (vt) work out, doausar ten (vi) degenerateAusartung (f) degenerationausbreiten (vt, vr) spread, propagateAusbreitung (f) spread; propagationAusbreitungs vektor (m) propagation
vectorA usbr eitungs weg (m) path of propaga-
tion
Ausbuchtung (f) bending outwards,bulge, convexity
ausdehnen (vt, vr) expand, extend,stretch, dilate
A u s d e.h n u n g (f) extension, dimension;(phys.) dilation, expansion
Ausdehnungsellipsoi d (n) ellipsoid of
expansionAusdehnungskoeffizient (m) coeffi-
cient of expansionAusdehnungslehre (f) theory of dimen-
sionality
Ausdehnungsverhaltnis (n) ratio of ex-pa nsion
Ausdehnungszahl (f) coefficient of ex-pansion
Ausdruck (m) expression
ausdriicken (vt) expressauseinanderlaufen (vi) diverge
Ause inanderlaufed (n) divergenceauseinanderlaufend (a) divergentausf egen (vt) sweep out
Ausfegever fahr en (n) method or process
of sweeping out (Poincare's ba-] ayage)
ausfiihrb ar (a) feasible
ausfiihr en (vt) execute, performAusfuhrung (f) execution, operationausjiillen (vt) fill
Ausfiillung (f) filling
Ausgangsfl ach e (f) initial surface
Ausgangshy per f la che (f) initial hy-
p ersur faceAusgangskurve (f) initial curveA us gang spunkt (m) starting point;
origin
Ausgangswahrscheinlichkeit (f ) a
priori probabilityausgear tet (a) degenerateausgehen (vi, vr) start or issue from
a point; be exact, leave no re-
mainderausgesc h lossen (a) excluded, impos-
sible
ausgez eichnet (a) distinguished, sin-
gular, canonical, principalausgleichen (vt) adjust, compensateAusgleichs kurve (f) fitting curveAusgleichung (f) adjustmentAus gleichungsr echnung (f) adjust-
ment of observationsausgliedern (vt) classify
Aus gliederung (f) classification
Ausklam mern (n) factoring out
ausklam mern (vt) factor out, removea factor
Aus mass (n) amount, rate
ausmessen (vt) measure, take the
dimensions of
ausmultipl iz ier en (vt) multiply out
Ausnahm ef al 1 (m) exceptional caseauspotenzier en (vt) expand by poly-
nomial theoremAuspotenzier en (n), Auspotenzierung
(f) expanding by polynomialth eorem
ausquadr ier en (vt) square out
Ausqu adrierung ( f ) squaring out
ausrechnen (vt) compute, evaluateAusrechnung ( f ) computation, eval-
uationausreduzieren (vt) reduce (a repre-
sentation)
14
Aussage ( f ) statement, sentence, asser-
tion
Aussagenformel (f) sentential formulaAussagenfunktion (f) propositional
functionAussagenk al kiil (m) propositional or
sentential calculusAussagenvariabe l (f) sen ten tial .variable
Aussagenverbindung ( f ) sententialcombination or connective
Aussagenverkniipfun g ( f ) = Aussagenver-bindung ( f
)
Aussagezeichen (n) sentential symbolausschal ten (vt) eliminateAusschaltung (f) eliminationAusschlag (m) amplitude, swing, de-
viation; deflection (of a magneticneedle)
a u s s
c
hlagen (vi) swing; deviateAusschl agkurve (f) amplitude curve
(of pendulum vibration)ausschl iessen (vt) excludeausschliessend (a) exclusiveausschliesslich (a) exclusiveAusschliessung ( f ), Ausschluss (m) ex-
clusion
Ausschlusslehr e (f) no-go gaugeausschneiden (vt) cut out
Ausschnitt (m) sector
Ausschopfungsmethode (f) method of
exhaustionaussen (adv) externally, outsideaussenden (vt) emitAuss enf lach e (f) outer or exterior sur-
faceAussenglied (n) extreme (term)Aussenr aum (m) exterior spaceAussenseite ( f ) outsideAussenwinkel (m) exterior angleausser (a) exterior, external, outer
Aussere (n) outsideausserh alb (adv, prep) outsideausserl ich (a) external, outwardausserlich (adv) outwardly, superfici-
ally
ausserordentlich (a) extraordinaryaussers t (a) outermost, extremeausserw esentlich (a) non-essentialAussonderungsaxiom (n) axiom of se-
parationausspringend (a) convexausstrahlen (vt, vi) radiateAusstrahlung (f) radiationAusstrahlungskurve (f) radiating curve
ausstreiche n (vt) cancel, deleteAusstreichung (f) cancellation, de-
letion
Aus tau sch (m) exchangeaustau schbar (a) permutable, ex-
changeableAustauschbar kei t ( f ) permutability,
exchangeabilityaust auschen (vt) exchange, replaceAustauschsatz (m) replacement theo-
rem, exchange theoremausfiben (vt) exert
Ausiibung (f) exertionAus wahl (f) choice, selectionAus wahl axiom (n) axiom of choiceAuswahlfunktion (f) function of
choiceAuswahlmenge (f) set of choiceausweiten (vt, vr) dilate, widenAusweitung (f) dilatation, wideningauswendig (a) outsideauswerten (vt) evaluateAuswertung ( f ) evaluationauszahlen (vt) count; (statist.) sort,
tabulateAusza hlung (f) count; (statist.) sort,'
tabulationausz eichnen (vt) trace; distinguish
Auszeichnung (f) tracing; distinc-
tion
ausziehen (vt) extract (a root)
Ausziehung (f) extraction (of a root)
automorph (a) automorphicAutomorphismenbedingung ( f ) auto-
morphism conditionAutomorphismengruppe (f) automor-
phism groupAutomorphismenring (m) automor-
phism ring
Automorphismus (m) automorphismAxe ( f ) axis
axial (a) axial
Axialsymmetrie (f) axial symmetryAxiom (n) axiomAxiomatik ( f ) axiomatic theory,
axiom atizationaxiomatisch (a) axiomaticaxiom atisier en (vt) axiomatizeAxiomatisierung (f) axicmatizationAxiomensystem (n) system of axiomsAxonometrie ( f ) axonometryaxonometr isch (a) axonometrieAzimut (m) azimuth, polar angleAzimutalebene ( f ) azimuthal plane
15
Azimutalprojektion (f) azimuthal pro
j ec tion
Azimutal winkel (m) azimuthal angleAzimut kreis (m) azimuth circle
az y klis ch (a) acyclic
B
Bahn ( f ) orbit, path, track
Bahnberechnung ( f ) orbital calculationsBahnbe wegung ( f ) orbital motionBahn kreis (m) path circle
Bahn kurve ( f ) orbital or path curve,
traj ectoryBahnlange (f) length of path
Bahnlinie ( f ) = BahnkurveBahnpunkt (m) point of the orbit or
pa th
Bahnrichtung ( f ) direction of the path
Bahntangente (f) tangent to the path
curve, orbital tangentBahn vorstellung (f) idea of orbit or
pathBalken (m) beam, bar
Balkendarstellung (f) bar graphBalkendiagr amm (n) bar graphBalkenwage ( f ) beam scale or balanceBallistik (f) ballistics
ballistisch (a) ballistic
Ba lm er ser ie ( f ) Balmer series
banal (a) banal, trivial
Band (n) band, strip
Banderdiagr amm (n) chart or graphcomposed of lines or bars
baryzentrisch (a) barycentricBasis ( f ) base, basis; radix or base
(of a power); radix (of a numericalsystem); simplex of reference (of
line complex); (statist.) initial po-
pulationbasisch (a) basal
Basis eb en e ( f ) base planeBasisdarstellung ( f ) basis representationBasis el em ent (n) basis elementBasisflache ( f ) base (surface)
Basis funktion (f) basis functionBasisgruppe ( f ) basis groupB-asis ka thete ( f ) base leg of a right
triangl e
Basislange (f) length of the base
Basispunkt (m) base point; radix point
(of scale of notation)
Basissatz (m) basis condition or
the or emBasissehne ( f ) base chord or line
Basis vektor (m) basis vectorBasis wert (m) base valueBasis winkel (m) base angleBasiszahl (f) basis numberB asisz eitr aum (m) base periodbeanspruchen (vt) stress
Beanspruchung (f) stress
bedeuten (vt) denote, mean, signifyBedeutung ( f ) meaning, significancebedeutungslos (a) insignificant;
meaninglessbedingt (a) conditionalBedingung ( f ) conditionBedingungs gleichung (f) condition
equationbefreien (vt) clear (of fractions,
parentheses)
Befreiung (f) clearing (of fractions,
parentheses)befriedigen (vt) satisfy
Befriedigung (f) satisfying , satisfac-tion
Befund (m) finding, result
begleiten (vt) accompany, move withbegleitend (a) accompanying, mov-
ing ( with).
begleitende Achsen, Kurve:moving (coordinate) axes, accom-panying or companion curve
Begleiter (m), Begleit erin (f) com-panion
Begleiterscheinung (f) concomitantphenomenon
Begleitmatrix (f) companion matrixbegrenzen (vt) bound; intercept,
limit
Begrenzung (f) boundary, delimita-tion
Begrenzungsflache (f) boundary sur-
faceBegrenzungskurve (f), Begrenzungs-
linie (f) boundary curve or liner
contour, peripheryBegrenzungspunkt (m) boundary point
Begriff (m) concept, idea, notionbegrif flich (a) conceptualBegriffsdef inition (f) definition of
conceptsBegriffssystem (n) system of con-
cepts
behandeln (vt) treat
Behandlung ( f ) treatmentbeharren (vi) persist in, continue
Beharrung (f) persistence, continu-
ance
16
Beharrungskraft (f) inertial force, in-*
ertia
Beharrungsvermogen (n) inertia
behaupten (vt) assert, state
Behauptung ( f ) assertion, statementbehebbar (a) removableBehebbarkeit (f) removabilitybeheben (vt) removeBehebung ( f ) removalbeide (a, pron.) both, the twobeiders eitig (a) on both sides; mutual,
reciprocalbeiders eits (adv) mutuallybeilkufig (a) approximatebeilegen (vt) assign
Beilegung (f) assignmentBeispiel (n.) exampleBeitrag (m) contribution; added or
extra termBeiwert (m) coefficientbejahen (vt) answer in the affirmative,
affirmBejahung (f) affirmationbelegen (vt) coverBelegung ( f ) covering, congruence (re-
lation)
Belegungsmenge ( f ) covering or con-gruent set
beliebig (a) arbitrary, anyBeliebigkeit (f) arbitrarinessbenachbart (a) adjacent, neighboringbenannt (a) denominate, concrete*benennen (vt) designate, denoteBenennung (f) desigantion, denomina-
tion
beob achten (vt) observeBeobachter (m) observerBeobachtung ( f ) observationBeobachtungsdauer (f) period of ob-
servationBeobachtungsfehle r (m) error of ob-
ser va tion
Beobachtungsmittel (m) observation aid
or tool
Beobachtungsort (m) observation pointBeobachtungsr aum (m) observation areaBeobachtungsr eihe ( f ) sequence or se-
ries of observationsBeobachtungszeit (f) period or time of
observationberanden (vt) form or make a border,
boundBerandung ( f ) boundaryberechenbar (a) calculable, computable
Berechenbarkeit (f) ca lculabili ty
,
computabilityberechnen (vt) calculate, compute;
(e ngin. ) analyzeBerechner (m) calculator, computerBerechnung (f) calculation, compu-
tation; (engin.) analysisBerechnungsaufgabe ( f ) computation
problemBerechnungsformel (f) computation
formulaBerechnungsgrosse (f) computation
itemBerechnungsm ethode ( f ) method of
computa tion
Berechnungsschema (n) computationdiagram
Berechnungstaf el ( f ) computationchart
Berechnungsverfahren (n) method of
computationBerechnungsweise ( f ) mode or method
of calculationBereich (m) domain, region; rangebereinigen (vt) adjust, correct; refine
Bereinigung (f) adjustment, correc-tion
berichtigen (vt) correctBerichtigung ( f ) correctionBernoulli (N) Bernoull ische Poly-
nome: Bernoulli's polynominalsberiihren (vt) touch, be tangent (to)
beriihrend (a) tangent (to)
Bervihrende (f) tangentBeruhrung (f) contact, tangencyBeriihrungsebene (f) tangent planeBeriihrungs flache ( f ) tangential sur-
face; area of contactBeruhrungskegel (m) tangent coneBeriihrungsknoten (m) point of self-
contact, tacnodeBerii hrungsknotenspitze (f) point of
osculinflection or oscu- inflection
Beriihrungslinie (f) tangent line
Beriihrungsmantellinie (f) tangent ele-
ment (of cone, cylinder)Beruhrungsproblem (n) contact or
tangency problemBeriihrungssehne (f) chord connecting
points of tangency, chord of con-tact
Beriihrungsstelle (f) point or place of
contactBeruhrungstransformation (f) contact
transformation
17
Beriihrungswinkel (m) angle of contactbes chl eunig en (vt, vr) accelerateBeschleunigung (f) accelerationBeschleunigungskomponente ( f) com-
ponent of accelerationBeschleunigungskraf t ( f ) acceleration
force
Beschleunigungsvektor (m) accelera-tion vector
Beschleunigungszentrum (n) center of
accelerationbeschrank en (vt) confine, restrict
beschrank t (a) bounded, limitedBesch r anktheit (f) boundednessBeschra nkung (f) restriction
beschreib en (vt) describe, trace; letter
Beschreibung (f) description; lettering
besei tigen (vt) eliminate, removeBeseitigung ( f ) elimination, removalBesetzungsz ahl (f) class frequencybesit z en (vt) possess
beson der (a) particular, special
Besonderheit (f) peculiarity, singularityBessel ( N) Besselsche Ungleichung:
Bessel's inequalityBestandesmasse (f) statistical universe
of period databestandig (a) constant, invariable, per-
manent, steadybestandig (adv) constantly, invariably,
permanently, steadilyBestandigkeit ( f ) constancy, perma-
nence, st ea diness
Bes tandsm asse ( f) = BestandesmasseBestandteil (m) component (part)
besta tigen (vt) confirm, verify
Bestatigung ( f ) confirmation, verifica-
tion
bestehen (vi) exist; consist of, consist
in
bestimm en (vt) determine, definebestimmt (a) definite, determinateBestimmtheit (f) definitenessBes timmtheits axiom (n) identity condi-
tion
Bestimm theitsm ass (n) coefficient of
determinationBestimmung ( f ) determination, defini-
tion
Bestimmungsdreieck (n) determiningtriangl e
Bestimmungsgleichung (f) conditionalequation
Bestimmungslini e (f) a determining or
provisional line
Bestimmungsrel ation (f) defining re-
lation
Bestimmungsstuck (n) one of the
data
Best wert (m) optimal valueBeta (n) Greek letter beta (B, 8)
Betafunktion ( f ) beta functionBetas trahl (m) beta ray
Be.trag (m) amount; absolute or nu-merical value; rate
bctragen (vt) amount to, total
Betr agsm aximum (n) numerical maxi-mum
beugen (vt) diffract
Beugung ( f ) diffraction
Beugungsbild (n), Beugungs f igur (f)
diffraction image or patternBeugungsgi tt
e
r (n) diffraction grating
Beugungsspektrum (n) diffraction
spectrumBeugungswinkel (m) diffraction angleBe volkeru ngsstatistik (f) demographybewegen (vt, vr) movebeweglich (a) mobile, moving, mov-
able
Beweglichkeit (f) mobility, mova-bility
Bewegung (f) motion, movementBewegungsablauf (m) path of motionBewegungs amplitude (f) amplitude of
motionBewegungsenergie (f) kinetic energyB e w egun gs ges et z (n) law of motionBew egungsgleichung ( f ) equation of
motionBew egungs gross e ( f ) linear momentum,
impulseBewegungslehre (f) kinematicsB ew egungs mass e (f) statistical uni-
verse of point data
Bew egun gsparameter (m) parameterof motion
Bewegungsph ase (f) phase of motionBewegungsrichtung (f) direction of
motion or movementBew egun gsvorgang (m) process or
phenomenon of motionB ew egun gs zustand (m) state of motionBew eis (m) proof, demonstration,
verification
bew eisbar (a) provableBeweisbark eit (f) provability
beweisen (vt) prove, demonstrate,
verify
Beweisfu hrung (f) proof, argument
18
Be weisgrund (m) argumentbeweistheoretisch (a) met am athem ati -
cal
Beweistheorie ( f ) met ama them atics
Be weis versu ch (m) attempted proofbewerten (vt) valueBewertung (f) valuationBewertungsrlng (m) valuation ring
bezeichnen (vt) denote, designatebezeichnet (a) sign givenBezeichnung (f) designation, notationBezeichnungss ys tern (n) system of
notationBezeichnungsweise ( f ) manner of de-
signation, notationbeziehen (vt) stretch over, span; de*
rive, draw; b. auf (vt, vr) refer
to, relate to
Bezug (m) referenceBezu gnummer ( f ) key numberBezugsdreieck (n) triangle of referenceBezugslinie ( f ) line of referenceBezugspun kt (m) reference pointBezugss ys tern (n) reference system,
frame of referencebiangular (a) biangularBiegefestigkeit (f) bending strengthbiegen ( vt, vr) bend, flex.
Biegeschwingung ( f ) flexural vibrationbiegs am (a) flexibleBiegs am keit (f) flexibility
Biegung ( f ) bend(ing), flexure; curva-ture
Biegungsbeanspruchung ( f ) bendingstress or strain
Biegungsf es tigkeit ( f ) bending strength
Biegungshalbmesser (m) bending radius;
radius of curvatureBiegungsinvariante (f) bending inva-
riant
bikompakt (a) bicompactbikomplex (a) bicomplexbikonka v (a) biconcavebikon vex (a) biconvexBild (n) image, picture, projection;
map, chart, graph; pictogram, pic-tograph
Bil dabs tand (m) image distanceBildansicnt (f) pictorial viewBildebene (f) plane of projection; per-
spective or picture planebilden (vt, vr) form, makeBil df eld (n) image field
Bildfeldwolbung ( f ) curvature of field
Bildgrosse ( f ) image size
Bildkurve (f) image curveBildkugel (f) spherical surface of
projection, spherical mapping-surface
bildmassig (a) pictorial
Bi ldmitte (f) image centerBildpunkt (m) image point
Bildraum (m) image space or regionBildsimplex (m) image simplexBildstatistik ( f ) pictorial statistics
Bildum kehrung ( f ) image reversionor inversion
Bildung (f) formationBildungs gesetz (n) rule or law of
formationBildungsmoglichkeit (f) formation
possibility
Bild verz errung ( f ) image distortion
Bildweite (f) image distancebilinear (a) bilinear
Bilinearform ( f ) bilinear formBillion (f) trillion (in America),
billion (in Britain)
binar (a) binarybino kul ar (a) binocularBinom (n) binomialBinomialformel (f) binomial formulaBinomialkoeffizient (m) binomial
coefficientBinomialreihe (f) binomial series
Binomialsatz (m) binomial theorembinomisch (a) binomial.
binomische Hyperbel: binomialhyperbol a
Binorm ale ( f ) binormalBinorm alenbild (n) binormal imageBinorm alenvektor (m) binormal vec-
tor
biorthogonal (a) biorthogonalBiosphar e (f) biospherebipolar (a) bipolar
Bipolaritat (f) bipolarity
biquadratisch (a) biquadraticbirnformig (a) pear-shaped, pyriformbizir kular (a) bicircular
Bizirkularitat (f) bicir cularity
Blatt (n) folium; leaf or sheet (of
Riemann surface)
Blattkurve ( f ) foliumbleiben (vi) remainBodenflache (f) bottom (surface)
Bogen (m) arc
Bogendif ferential (n) differential of.
arc
19
Bogenelement (n) element of arc
Bogenelement-Quadrat (n) square of
arc elementBogengrad (m) degree of arc
Bogenlange (f) arc lengthBogenlini e (f) curved line
Bogenmass (n) radian measureBogenm inute (f) minute of arc
Bogenschar (f) system or family of arcs
Bo gensehn e ( f ) chord of an arc
Bo gensekunde ( f ) second of arc
Bogenspektrum (n) arc or multilinespectrum
Bogenzirkel (m) bow compassBoreltransformation (f) Borel transfor-
mationB oreltransformierte (f) Borel transformbosch en (vt, vr) slope
Boschung ( f ) slope
Boschungs f 1 ache (f) helicoidal surfaceBoschungslinie ( f ) curve of constant
slope, helix
Boschungswinkel (m) angle of slope
Bra chis tochrone ( f ) brachistochroneBrachyachse (f) brachyaxisbrachy diagonal (a) br achy diagonalBrachydiagonale ( f ) brachydiagonal
axis
Brachydoma (n) brachydomeBrachypinakoid (n) br achypinacoidBrachyprisma (n) brachyprismBrachypyr amide ( f ) brachypyramidbrechbar (a) breakable; (opt.) refrac-
tible
Brechbarkeit (f) r efr actibility
br auchb ar (a) serviceablebrechen (vt, vr) break; (opt.) refract
Brechung (f) refractionBrechungsbrennflache (f) diacaustic
surface
Br echungs exponent (m) coefficient or
index of refractionBrechungsgesetz (n) law of refractionBrechungsindex (m) coefficient or in-
dex of refractionBrechungsstrahl (m) refracted ray
Brechungs winkel (m) angle of refrac-
tion
Brechungszahl ( f ) index or coefficientof refra ct ion
Brechzahl (f) = Brechungszahlbreit (a) broad, wideBreite (f) breadth, width; (geog.) lati-
tude
Breitengrad (m) degree of latitude
Breitenkreis (m) circle or parallel
of 1 atitu de
Breitenquantenzahl ( f ) transverse
quantum numberBrennebene (f) focal planeBrennflache (f) caustic surface,
focal surface (of congruence)Brennhyperflache ( f ) focal hyper-
surf ac e
Brennlinie (f) caustic curve; focal
curve (of surface), focal line
(of quadric con e)
Brennpunkt (m) focus, focal point
Brennpunktabstand (m) focal dis-
tance or length, focal radius
Brennpunktebene (f) focal planeBrennpunktsb edingung ( f ) focus con-
dition
Brennpunktskonchoide ( f ) focal con-choid
brennpun ktslos (a) focusless, non-focal
Brennstrahl (m) focal radius
Brennweite ( f ) focal distance or
lengthBriggs (N) Briggsche Logarithmen:
Briggs* or common logarithms
bringen (vt) bring, reduceBrown ( N) Brownsche Bewegung:
Brownian motion or movementBruch (m) fraction
Bruchexponent (m) fractional ex-
ponentBruchgleichung (f) fractional equa-
tion
Bruchteil (m) fractional part, frac-
tion
Buchstabengleichung (f) literal equa
tion
Buchstabengrosse ( f ) literal numberBuchstabenrechnung ( f ) algebraic
calculus, algebra
Bundel (n) bundle, sheaf, star
Bundelachse (f) axis of a bundle (of
rays)
Bundelbegrenzung (f) boundary of
a beam of light or of a bundle of
rays
Biindeldi vergenz (f) divergence of
light beamBiindelebene ( f ) one of a sheaf of
planesBiindelgrenze (f) = Bundelbegrenzung
20
BJindelkurve (f) one of a bundle or
sheaf of curvesBu' nd els tr ahl (m) one of a bundle of
rays or lines
Bu'sch el (n) pencil (of lines, curves,
etc.), one- parameter family;cluster (of crystals)
Bu sch el form (f) one- par am eter geo-metric form, equation of a one-parameter family
Buschel kur ve (f) member of a one-parameter family of curves
Biischelmittelpunkt (m) center or ver
tex of pencil or sheafBiisch el -Sch a r (f) = Buschel (n)
Bfisch elstrah 1 (m) one of a pencil of
rays or lines
cosecans hyperbolic us (m) hyper-bolic cosecant (of angle x:
cosech x, csch x)
cosingul ar (a) cosingularcosinus (m) BKosinuscosinus hyperbolicus (m) hyperbolic
cosine (of angle x: coshx, chx)cosinus versus (m) = Kosinus versuscotangens (m) = Kotangentecotangens hyperbolicus (m) hyper-
bolic cotangent (of angle x:
coth x . ctnh x)
Cuspidal ebene (f) cuspidal planeCus pidal kur ve (f) cuspidal curveCuspidalpunkt (m) cuspidal pointCuspidal torse (f) cuspidal torse or
developableCyklometrie ( f ) cyclometrycy klometrisch (a) = zy klom etrisch
Cardano , Cardanus (N) Cardan.Cardanische Formel: Cardan's for-
mula (for cubic)
Cardinalz ahl (f) cardinal numberCartesisch (a) CartesianCartesius (N) DescartesCassini ( N ) Cassinische Linien :
ovals of Cassini
Cassinisch (a) CassinianCassinoide (f) oval of Cassini
Celsiusthermometer (n) centigradethermometer
Char akter (m) characterCharakterenrelation (f) character re-
lation
charakterisierbar (a) char acteriz able
Char akterisierbarkeit ( f ) characteriz-
ability
ch ar a kter isier e n (vt) characterizeChar a kterisierung (f) characterization
Charakteristik ( f ) characteristic
Charakteristikum (n) characteristic,
trait; (statist.) parametercharakteristisch (a) characteristic
Chi (n) Greek letter chi (X, x)Codenummer ( f ) code numberconcyclisch (a) concyclicconis ch (a) conical
Coriolisbescheunigung (f)Coriolis
ac celer ation
Coriolisgesch w indigkeit (f) Coriolis
velocityCor iolisglie d (n) Coriolis termCorioliskra ft (f) Coriolis forcecosecans (m) = Kosekante ( f
)
Ddampfen (vt) damp (vibrations)
dars tellbar (a) representablePars tell barkeit ( f ) r epresen tabilit y
darstellen (vt) represent; draw,
graphd a r s t e 1 1 e n d - (a) descriptive
Darstellung (f) representation; graph,
proj ection, viewDarstellungsmodul (m) representa-
tion moduleDarstellungs theor ie ( f ) representa-
tion theory
Paten (npl) data; calendar dates
Patum (n) datum, given fact; calen-dar date
Dauer ( f ) duration; period (of vi-
bration)
dec ken (vt, vr) cover, coincidePec ktransform ation ( f) congruent
transform ation
Peckung ( f ) superposition, congru-ence
Peckungstr anslation (f) congruentor vector translation
Peduktion ( f ) deductiondedukti v (a) deductivededuzierbar (a) deducibled eduzieren (vt) deducePefekt (m) defect; deficiency (of
curve, surface)
definierbar (a) definable
definieren (vt) define
definit (a) definite
21
Definitheit (f) definiteness
Definition (f) definition
Definitionsbereich (m) domain of de-
finition
Definitionsformel (f) defining formulaDefinitionsgebiet (n) domain of defi-
nition
definitionsgem ass (a) by definition
Definitionsgleichung ( f ) defining equa-tion
Definitionsmenge (f) defining set
defizient (a) deficient, defectiveDeform ation (f) deformation, strain
Deformationsachse (f) axis of strain
Deformationsellipsoid (n) strain ellip-
soid
Deformationstensor (m) deformation or
strain t ensor
deformierbar (a) deformableDeformierbarkeit (f) defor mabilitydefor mier en (vt) deform, strain
Deformierung ( f ) deformation, strain
Degeneration (f) degenerationdegenerier en (vi) degeneratedeg eneriert (a) degeneratedehnbar (a) tensile, ductileDehnbarkeit ( f ) tensility, ductibility
dehn en (vt, vr) stretch, expandDehnung (f) stretching, expansion,
lengtheningDehnungskoefficient (m) coefficient of
elongation or expansionDehnungs verhaltnis (n) ratio of expan-
sion
Dehnzahl ( f ) coefficient or modulusof expans ion
De ka ( n) decagramDeka de ( f ) decadeDekadens ystem (n) decadic or decimal
or denary systemdekadisch (a) decadic, decimal, denaryDekaeder (m) decahedronDekagon (n) decagonDekagramm (n) decagramDeka liter (n) decaliterDekameter (n) decameterDeklina tion ( f ) declinationDeklinationsachse (f) axis of decli-
nationDeklinationskreis (m) declination
cir cl
e
Dekrem ent (n) decrementdelis ch (a) DelianDelta (n) Greek letter delta (A, 6)
Deltafunktion (f) delta functionDel toeder (n) deltohedrondeltoedr isch (a) deltohedralDeltoid (n) deltoid
Deltoiddodekaeder (n) deltoid dode-c ahedron
Deltoidikositetraeder ( n) deltoid icesite tr ahedron
demonstrieren (vt) demonstrateDepressionswinkel (m) angle of de-
pression
Per ivier te (f) derivative, derivedfunction
deskriptiv (a) descriptiveDeterminante (f) determinantDeterminantenbil dung ( f ) determi-
nant formationDeterminantendarstellung (f) deter-
minant representationDeterminantenform ( f ) determinant
formDeterminantenminor ( f ) minor of a
determinantDeterminan tenprodukt (n) product
of determinantsDe.terminantenrelation (f) determi-
nan t( al) relation
Determinantensatz (m) theorem in
determ inants
Determinante n teiler (m) determinan-tal divisor or determinant factor
(of matrix)Determinantentheorie ( f ) theory of
determin ants
determinierend (a) determinating,determining
deuten (vt) interpret
Deu teroprism a (n) deuteroprismDeuterop yr amide ( f ) d euteropyr amidD e u t u n g ( f ) interpretationdeveloppabel (a) developableDeveloppable ( f ) developable (sur-
face)
Deviation (f) deviationDeviationsmoment (n) deviation
momentDeviations winkel (m) angle of de-
viationDezibel (n) decibelDezigramm (n) decigramDezil (n) decileDeziliter (n) deciliter
dezimal (a) decimalDezimalbruch (m) decimal (fraction)
22
Dezimale ( f ) decimal, decimal placeDezimalform (f) decimal formDezimallogarithmus (m) Briggs' or
common logarithmDezimalpunkt (m) decimal pointDezimalr echnung (f) decimal reckoningDezimalschreibweise ( f ) decimal no-
tation
Dezimalstelle ( f ) decimal placeDezimals ystem (n) decimal or decadic
or denary systemDezimalzahl (f) decimalDezimeter (n) decimeterdiagonal (a) diagonalPi agonale (f) diagonalPi agonal element (n) leading element
(of a determinant)Piagonalmatrix (f) diagonal matrixPi agonalschnitt (m) diagonal sectionPiagram m (n) diagram, graphdiagr amm atisch (a) diagrammaticPiagrammkarte (f) statistical chart
or m ap
Piagrammkurve (f), Piagrammlinie ( f
)
diagram curvePiakaustik (f) diacausticPi am eter (m) diameterdiam etral (a) diametralPiametralebene (f) diametral planediametralentgegengesetzt (a) diamet-
rically opposed or oppositePiametralpunkt (m) diametrically
opposite pointPichte ( f ) density
Pichteanderung (f) density change or
variationPichteber eich (m) density distribution
Pichtefunktion (f) density function
Pichtekomponente ( f ) density compo-nent
Pichteschwankung ( f ) density variation
Pichteverteilung (f) density distribu-
tion
Pich theit ( f ) densenessPichtigkeit ( f ) density (= Pichte )
Pichtigkeitsm ass (n) measure of den-sity
dick (a) thick
Picke (f) thickness
Pieder (n) dihedral, dihedronPiff erential (n) differential
Pifferentialausdruc k (m) differential
expressionPifferential eigensch aft (f) differential
property
Pifferentialform (f) differential formPifferentialgeometrie ( f ) differen-
tial geometryPifferentialgleichung ( f ) differen-
tial equationPifferentialinvariante (f) differen-
tial invariant, reciprocantPifferentialoperator (m) differen-
tial operatorPiff erentialpar ameter (m) differen-
tial parameter or operatorPifferentialquotient (m) differen-
tial quotient or coefficientPiff erentialrechnung (f) differen-
tial calculusPiff erentiation ( f ) differentiation.
P. nach einem Parameter:differentiation with respect to
a para m eter
Pifferentiationsmethode ( f ) methodof differentiation
Piff erentiationsordnung ( f ) order of
differentiation
Pifferentiationsprozes s (f) process
of differentiationPiff erentiator (m) differentiator,
differential operator or parame-ter
diff erentiierbar (a) diff erentiable
Piff er en z (f) differencePifferenzenfolge ( f ) sequence of
differences, difference sequencePifferenzenfunktio n (f) function of
differencesPiff er enzengleichung ( f ) difference
equ ation
Pifferenzenmethode (f) differencemethod
Piff erenzenprodu kt (n) product of
differencesPifferenzenquotient (m) difference
quotient
Piff er enzenr echnung (f) calculus of
differences
Pifferenzenreihe ( f ) series of diffe-
rences, difference series
Pifferenzenschema (n) array of dif-
ferences
Piff erenzgruppe (f) differencegroup
diff er enzierbar (a) dif ferentiab le
Pifferenzierbarkeit ( f ) differenti-
ability
Pifferenzierbarkeitsannahme ( f ) dif-
ferentiability hypothesis
23
Differenzierbarkeitsbedingun g (f) con-dition of differentiability
dif f erenzier en (vt, vi) differentiate
Differenzierung ( f ) differentiation
Differenzmethode ( f ) method of dif-
ference; variate- difference methodDiff erenzstell e (f) difference placeDifferenzwirkung (f) difference in
action or effect
dif fundieren (vt, vi) diffuse
Diffusion (f) diffusion
dif fusions fahig (a) diffusible
Diffusionsgeschwindigkeit (f) rate of
diffusion
Diffusionskoeffizient ( f ) coefficient of
diffusion
Diffusions vermogen (n) diffusibility
digital (a) digital
Digitalrechenmaschine ( f ) digital
computing machinedihex aedrisch (a) dihexahedraldih ex agonal (a) dihexagonalDimension (f) dimensionDimension a lit at ( f ) dimensionalityDimensio nsbetrachtung ( f ) considera-
tion of dimensionalityDimensionsformel (f) dimensional
formuladimensionsfrei (a) dimensionless, non-
dimensionalDimensionslehre ( f ) theory of dimen-
sionality
dim ensio nslos (a) = dimensionsfrei
Dimensionstheorie ( f ) = Dimensions-lehre
Dimensionsz ahl (f) dimension number,dimension, dimensionality
dimetrisch (a) dimetricdimorph (a) dimorphic, dimorphousDimorphismus (m) dimorphismDini -Lipschitz be dingung (f ) Dini-
Lipschitz conditiondiophantisch (a) diophantineDiploeder (n) diplohedron, diploid
Dipol (m) dipole, doublet.
der schwingende D. :the oscillating
or vibrating dipole
Dipolachs e (f) dipole axis
dipol ar (a) dipolar
Dipolfeld (n) dipole field
Dipolmoment (n) dipole momentDipolpotential (n) dipole potential
dir ekt (a) direct
Direktrix (f) directrix
disjunkt (a) disjoint
Disjunktion (f) disjunction
Disjunktionsglied (n) partial disjunc-tion
disjunktiv (a) disjunctivediskontinuierlich (a) discontinuousDiskontinuum (n) discontinuumDiskrepanz (f) discrepancydiskr et (a) discrete
Diskretheit ( f ) discreteness
Diskriminante ( f ) discriminantDiskriminantenbeziehung (f) dis-
criminant relation
Diskriminantengleichung ( f ) dis-
criminant equation or relation
Diskriminantenort (m) discriminantlocus
Pis kussion ( f ) discussion
dis ku tieren (vt) discuss
Dispersion ( f ) dispersion; (statist.)
also variationDispersionskurve (f ) dispersion curveDispersionstheorie (f) theory of dis-
persion or variationDispersionsverhaltnis (n), Dispersions-
vermogen (n) dispersive powerDistanz (f) distanceDist anzkr eis ( f ) distance circle
distributi v (a) distributive
Distributivgesetz (n) distributive
lawDistribu tivitat (f) distribu tivity
ditetragonal (a) ditetragonalditrigonal (a) ditrigonal
divergent (a) divergentDivergenz (f) divergenceDivergenzbildung ( f ) divergence
formationdivergenzfrei (a) free of divergenceDivergenzfreiheit (f) freedom from
divergenceDivergenzkoeffizient (m) coefficient
of divergenceDivergenzr adius (m) radius of diver-
genceDivergenzvektor (m) divergence veC'
tor
divergieren (vi) divergedivergierend (a) diverging, diver-
gentDividend (m) dividenddividier en (vt, vi) divideDivision (f) division
Divisionsalgebra ( f ) division algebra
24
Divisionsalgorithmus (m) division algo-
rithmdivisionshomolog (a) homologous with
division admittedDivisionshomologie (f) homology admit-
ting division
divisionsnullhomolog (a) homologous to
zero with division admittedDivisionsnullhomologie (f) homology
to zero admitting divisionDivisions zeichen (n) division sign
Pi visor (m) divisor
Dodeka eder (n) dodecahedronDodekagon (n) dodecagonDoma (n) domeDoppelabstandskurve ( f ) double dis-
tance curvedoppelbrechend (a) doubly refractingDoppelbrechung ( f ) double refractionDoppelbruch (m) complex or compound
fraction
Dopp el eb ene ( f ) double plane, biplaneDoppelerzeugende ( f ) double generatorDoppel folge (f) double sequenceDoppelgerade ( f ) double line
Doppelindex (m) a pair of indices or
subscripts or superscripts
Dopp elintegral (n) double integralDoppelinflexionstangente (f) double in-
flectional tangentDoppel kante (f) double edge (of cone)Doppel kegel (m) double coneDoppel kurve ( f ) double curveDoppelmodul (m) double moduledopp elperiodisch (a) doubly periodicDoppelpunkt (m) double point (of a
curve, an involution), crunode (of
curve)doppelpunktfr ei (a) without double
points
Doppelpunktsbedingung ( f ) conditionfor double point
Doppelpunktstangente (f) tangent at
double point (of curve)Doppelpunkts wendepu nkt (m) flecnodeDopp elreihe (f) double series
Doppelschicht ( f ) double layer
Doppelschnabel (m) flecnodeDopp elsprung (m) double jumpDoppeltangenslinie ( f ) double tangent
curveDoppel tangente ( f ) double tangent,
bitangentDoppeltangentenebene ( f ) double tan-
gent plane
Doppeltangentkurve ( f ) , Doppeltan^gentenlinie (f) double tangentcurve
Doppelschnittsverhaltnis (n) cross
ratio
doppelt (a) doubledoppeltbrechend (a) doubly refrac-
ting
doppeltlogarithmisch (a) bilogarith-mic, log-log (scale)
doppeltorthosymmetrisch (a) doublyorthos ymmetric
doppeltperiodisch (a) doubly periodicdoppeltunendlich (a) doubly infiniteDoppel verhaltnis (n) cross ratio
Doppelwendepunkt (m) flecnodedoppelwerti g (a) double- valued, two-
valued, bivalentDoppel winkel (m) double angleDoppelwinkelsatz (m) double-angle
formulaDoppelwuirzel ( f ) double root
Drall (m) Chasles' parameter of dis-
tribution; (mech.) torque, momentof a force; angular or rotationalmomentum
Drallwinkel (m) angle of twist; angleof the spiral or of the screw
Drehellipsoid (n) ellipsoid of revo-lution, spheroid
drehen (vt, vr) turn; rotate, revolveDrehflache (f) surface of revolutionDrehgruppe ( f ) rotation groupDrehimpuls (m) angular momentum,
moment of momentumDrehkorper (m) body of revolution;
solid of revolutionDrehkristallmethode (f) rotating-crys -
tal methodDrehmoment (n) moment of force,
torqueDrehschwingung ( f ) rotational oscil-
lation
Drehsinn (m) direction of revolutionor rotation
Drehsymmetrie (f) rotational sym-metry
Drehung ( f ) turn; rotation, revolu-tion, beschrankte D: boundedrotation; totale D: total rota-
tion
Drehungsachs e (f) axis of revolutionor rotation
Drehungsanteil (m) rotational con-tribution
25
Drehungsellipsoid (n) ellipsoid of re-
volutionDr ehun gsf aktor (m) rotation(al) fac-
tor
drehungsfrei (a) irrotational
Drehungsgeschwindigkeit ( f ) rotatio-
nal speed or velocityDr ehungsgrupp e (f) rotation groupDr ehungssinn (m) direction of rotation
or revolutionDr ehun gs winkel (m) ^angle of rotation
Dr eh vektor (m) angular velocity vec-tor
Dreh waage (f) torsion balanceDr eh wink el (m) angle of rotation
Dr ehzahl ( f ) number of revolutions or
rotations
drei three
Dr ei ( f ) figure three
dreiachsig (a) triaxial
dreiachsig- symmetrisch (a) triaxially
symmetricDr eibein (n) trihedral
Dr eiblatt (n) trifoliumdreidimensional (a) three-dimensionalDreidimensionalitat (f) tr idim ensional -
ity
Dr eieck (n) triangle, trigon
dreieckig (a) triangular
Dr eieck igk eit ( f ) triangularity
Dr eiecksflache (f) triangular surface
or area
Dr eiecksinhalt (m) area of triangle
Dreieckskonfiguration ( f ) triangular
configurationDreieckskoordinaten ( f pi ) triangular or
trilinear coordinatesDr eieckskurve ( f ) triangular curveDr eiecksm essung ( f ) trigonometryDreiecksnet z (n) triangulation networkDreieckstern (m) triangular star
Dr eiecksungleichung ( f ) triangular or
triangle inequalityDreieckszahl (f) triangular numberDreieckzerlegung ( f ) triangulation
Dreier (m) figure three
Dreierv ektor (m) three-vectordreif ach (a) threefold, triple
dreigliedrig (a) thr ee - t erme d, trino-
mial, triadic
Dreiheit (f) triad
dreihundert three hundredDreiindizessymbol (n) three-index
symbol, Christoffel symbol
Dreikant (n) trihedral angle, trihed-
ral
Dreikorperproblem (n) three-bodyproblem
dreim al three times, thrice
Dreimalachtflachner (m) trisocta-
hedrondreimalig (a) three-time, thrice re-
peateddreipunktig (a) three-pointDreipunktperspektive (f) three-point
perspectiveDreis atz (m) rule of three
Dreiseit (n) trilateral
dreis eitig (a) three-sided, triangu-
lar, trilateral
Dreispitz (m) tricuspid
dreispitzig (a) thr ee - cusped, tri-
cuspidDreispitzzirkel (m) triangular com-
pass
dreissig thirty
dreissigs t thirtieth
dreistellig (a) three-place, three-
digit
Dreitafelprojektion ( f ) three-planeproj ection
dreiteilen (vt) trisect
dr eiteilig (a) tripartite
Dreiteilung (f) trisection
Dreiteilungspunkt (m) one-thirdpoint, thir d- point
dreiwertig (a) three-valuedDreiwertigkeit ( f ) three- valuednessDreizahl (f) triad
dreizahlig (a) threefold, triple
dreizehn thirteen
dreizehnt thirteenth
Dreizeigersymbol (n) Christoffel or
three-index symbolDrillachse ( f ) torsional axis
Drilling (m) trilling,, triple t
Drillschwingung (f) torsional vib-
ration
Drillung ( f ) torsion, twist
Drillungsmodul (m) rigidity or tor-
sion modulusdritt third
Dritteil (n) third part, third
Drittel (n) third part, third
Drittelspunkt (m) one-third point,
third-point
drittens (adv) thirdly
dritthalb (a) two and a half
26
Druck (m) pressured r ii c k e n (vt) press
Druckkraft (f) compressive, forceDrudenfuss (m) pentagramdual (a) dual, reciprocal.
dual e_ A b b i 1 d u n g : dual mapping;d u a 1 e Z a h 1
:
dual or alternate num-ber
Dual bruch (m) reciprocal fractionDual fol ge (f) dual sequenceDualismus (m) dualismdualistisch (a) dualistic
Dualitat (f) duality
Dualita tsprinzip (n) principle of duality
Du alsy stem (n) dual system; binary or
dyadic systemDualteil (m) dual part (o f Clifford' s
alternate numbers)duodezim al (a) duodecimalDuodezimalsystem (n) duodecimal sys-
temdurchbohren (vt) pierce, cut.
die Kurve d urchbohrt die Ebene:the curve pierces the plane
durchdi vidi eren (vt) divide throughdurchdrin gen (vt, vr) penetrate; inter-
sect
Durchdrin gung (f) penetration, inter-
section
Durchdringungslinie (f) line or curveof intersection
durchl auf en (vt) run or travel through,
tr a vers e
Durchlauf (m) passage (through)
Durchlaufung (f) traversing
Durchlau fungssinn (m) direction of
traversal, traveling direction
durchlochern (vt) perforate, punctureDurchm esser (m) diameterDurchm es serebene ( f ) diametral planedurchnumer ier en (vt) number consec-
utivelydurchschneiden (vt, vr) intersect, cut
Durchschnitt (m) average; product of
the first kind, meet, or intersec-
tion (in set theory)
durchschnittlic h (a) averageDurchschnittsbildung ( f ) formation of
intersection set
Du rchschnittsgesch windigke it (f) average
speed or velocityDurchschnittsklass e (f) intersection of
class es
Durchschnittsmenge (f) average quan-tity; intersection set (in set theory)
Durchschnlttspunkt (m) point of in-
tersection
Durchschnittsrechnun g (f) calculationof average
Durchschnlttswert (m) average valueDurchschnittszah l (f) average num-
b er
durchsetze n (vt) pierce, cut, inter-
sect
Durchstichpunk t (m) piercing point
durchstoss en (vt) - dur chsetze n
Durchstos skreis (m) circle of inter-
section
Durchstosspunkt (m) piercing pointdur chwejf (adv) throughout.
Flachen m it durchweg neg ativer
Krummung: surfaces with negativecurvature throughout (i. e.,
e very where)Dutzend (n) dozenDy ad e ( f ) dyadDyadik (f) dyadicdyadisch (a) dyadicDyakisdodekaeder (n) dyakisdodeca-
hedronDyn (n), Dyne ( f ) dyneDynamik (f) dynamicsdynamisch (a) dynamic
E
eben (a) plane; level
E b ene ( f ) planeEbenenbii n del (n) bundle or sheaf
of planesEbenenbii sche l (n) pencil of planes,
axial pencil
Ebene nnetz (n) network of planes
Ebenenpaar (n) pair of planes
Ebenenstiic k (n) portion of planeebenflachig (a) plane, having plane
faces
Ebenmass (n) bilateral symmetry,due or proper proportion
echt (a) properechtgebrochen (a) proper fractional
Eckbedingung (f) corner condition
Ecke (f) vertex, corner
Eckenanzahl (f) number of vertices
Eckenkurve (f) locus-curve of corner
points
Eckensinus (m) sine of solid angle
Eckenzahl (f) number of vertices
eckig (a) angularEcknetz (n) network of vertices
27
Eckpunkt (m) vertex, coiner; corner or
salient point (of c nrvc)lickpn nk i hcri'.ic li (in) vertex domain; set
o I vertices ( o I geometric complex)lickpu nk tgeriisj (n) fmmework of vertices,
vertex frameBcktrans versalc (f) transversal through
(lie vertex
Efeulinle (f) cissoid
Bffekt (in) (phys.) action, powereff ckti v (a) effective; actual, real.
eflektive Konstruktlon: actual con-struction
e iclie n (vt) calibrate, gauge, standard 1 /. e
Elchinvarianz ( f ) g aug e invarianc
e
Eich koustante (f) calibration constantE i c h k u r
v
e (f) indicatrix; (phys.) cali-
brat ion en i v
e
Eich mass (n) standard (measure)Eich ung ( f ) calibration, gauging, stan-
dardizationE i d r c h f 1 a c h
c
(f) ovaloid of revolutionEl fl ache ( f ) ovaloidEigenfeld (n) self- consistent field
Bigcnf unktion (f) eige n function, charac-teristic function
1- i v;, en per lode (I) natural period (ot vi-
bration)i: i ge ns eh a ft (t) property, characteristic1- I r. e u seh .men ( m ) sli adeEigenschattengrenze ( f ) shade line
Elgenschwingung (f) characteristic v i-
brai ion)
Elgcnschwingungsdaue r (f) natural periodof vi h rati o n
Eigcnschwingungszahl (f) characteristicf r e q u e n c y
eigentlich ( a ) properElgen vektor (m) eigenvector, charac-
teristic vectorEigenwert (m) eigenvalue, intrinsic
v .i 1 n e
1 i i'. e n w e r t p i o Mem ( n ) e i g e n v a 1 u e p r o b 1 e mEigcnzeit (f) proper timeEigenzustand ( m ) eigenstate, charac-
teristic state
E i k o n a 1 ( n ) e i c o n a 1
Bikonalgle ichung (f) eiconal equation.
die E. gehorcht dem Fermatschen Ge*setz der kurzeste u Ankunft: the
eiconal equation obeys Fermat's lawof least time
I'ikorper (m) convex bod v. solid ova-
"ToTd
Elllnie ( f ) oval
e i n a c h s 1g
(a) monaxial, uniaxialelnartig (a) of one kind or species;
single-primed (ideal)
elnbegreifen (vt) include, involveelnbett en (vt) embed, imbedEinbettun g (f) embedding, imbeddingEl nbettungssatz (m) embedding theo-
remElnblatt (n) simple folium, unifoliumElnhuchtung (f) indentationEi nbuchtungswink el (m) reentering or
reentrant angleeindeutig (a) unique, univocal, one-
valued, single -valued, una m big u
-
on s
Eindcutlgkeit ( f) uniquenessi- i nde utig ke itssatz (m) uniqueness theo-
re in
el nchnen (vt) level, planeEinebnung ( f) planationE i n e c k (n) figure of one angleein eindeutig (a) one-to-one, one-one,
biuniquee i n e i n h a 1 b one and a half
ein en gen (vt) narrow, restrict
Eincngung (f) narrowing, restriction
Einer (m) one-digit figure, unit
Eincrkolonne (f) units columnEinerstelle (f) units placeE i n e r z i f f c r (f) units digit
e i n f a c h ( a ) simpleEin fa ch he it (f) simplicityEinfachheitsgrad (m) degree of sim-
plicity
Ein fa ch sprung ( in ) single jumpe i n f a c h - z u s a m inenhang end (a) simply
connectedE i n f a 1
1
(m) incidence (of rays)
e i n f a 1 1 e n (vi) fall in, be incidentc i n f a 1 1 e n
d
(a) incidentEin fa 11 sa zimu t ( m ) azimuth of inci-
denceE i n f a 1 1 s e b e n
e
(f) plane of incidenceEinfallsgruppe (f) statistical class
with medianE i n f a 1 1 s 1 o t ( n ) perpendicular or axis
of incidenceE i n f a 1 1 s s t r a h 1 ( m ) incident ray
Einfallswinkel (m) angle of incidenceeinfl achi g ( a ) one-sidedEinflachigkei t ( f ) one-sidednessein form ig (a) one-dimensionaleinfuhren (vt) introduce, insert; estab-
lish
;s
Einf iihrung ( f ) introduction, insertion;
establ ish men t
Eingehiillte (f) enveloped curve, en-
veloped surfaceeingeschlosse n (a) includedein ges chrank t (a) restricted
eingeschrieben (a) inscribedeingip felig (a) (statist.) unimodaleingliedrig (a) single-term, monomial;
one-place, einglledrige Gruppe :
one-parameter groupEinh eit (f) unit, unityEinh eltenw echsel (m) change of units
Einh eits deter minante ( f ) unit determi-nant
Einh ei ts ebene (f) unit planeEinh eits element (n) unit or unity ele-
ment; identity (of a group)Elnheits form ( f ) primitive formEinhei ts gerade ( f) unit line
Einh eits ideal ( n) unit ideal
Einh eits korper (m) unit (body)Einhei ts kreis (m) unit circle
Einh ei ts kugel (f) unit sphereEinh eits linie (f) unit line
Einheitsmasse (f) unit massEinhei tsmatrix ( f ) unit or identity mat-
rix
Einheitsoperator (m) unity operatorEinheitspunkt (m) unit point
Einh ei tsradius (m) unit radius
Einheitsstrecke ( f ) unit of distanceEinheitssubstitution (f) substitution
unity, identical substitution
Einheitstangentenvektor (m) unit tan-
gent vectorEinh ei ts vektor (m) unit vectorEinhei ts wurz el ( f ) root of unityeinhiil len (vt) envelopEinhiillende (f) envelopeeinhundert one hundredeinklammern (vt) put in parenthesesEinklammerung (f) bracketing; terms in
parentheses or bracketsEinkorperproblem (n) one- body problemEinkreiselanordnung (f) monogyro sys-
temEinkristall (m) single crystal, mono-
crystal
Elnlinienspektrum (n) single-line spec-trum
einmal onceeinmalig (a) onceeinmantelig (a) of one sheet, unparted
ein mehrdeutig (a) one -to-manyEinparameterschar (f) one-parame-
ter familyEinparametersystem (n) one-parameter
s y stemelnparametrig (a) one-parametereinpassen (vt) fit in, adjustEinpassung ( f ) fitting
Einpunktperspektive (f) one-pointperspective
einrechnen (vt) take into accountEinr echnung (f) taking into account,
inclusionelns oneElns (f) number one, unity; figure
oneEins atz (m) insertion, setting in
Einsatzzirkel (m) pair of compasseseins ch al ig (a) of one sheet or nappe,
unpartedeinschal ten (vt) insert, interpolateEinschaltung ( f ) insertion, interpo-
lation
einscharig (a) singly ruledeinschl iessen (vt) enclose, includeeinschliesslich (a) includingeinschniiren (vt) constrict
Einschniirung ( f ) constrictioneinschr anken (vt) restrict
Einschrankung (f) limitation, restric-
tion
einschr eiben (vt) inscribe
eins ei tig (a) one-sided, unilateral
Eins eitigkeit (f) one-s idednessEins el em en t (n) identity or unity
elementEinser (m) figure oneeinsetzen (vt) substitute; set in (com-
passes or dividers)
Einsetzung ( f ) substitution
Eins et zungsregel (f) rule of substi-
tu tion
Einsgruppe ( f ) identity group, unit
or unity groupEinsiedl er (m) = Einsiedl erpunkt (m)Einsiedl erpun kt (m) isolated or con-
jugate point, acnodeEinsklasse ( f ) unit class
einspringend (a) reentrant, reflex
einstellig (a) one-digit, one-place,monadic
Eins tellwerk (n) keyboard (of com-puting machine)
einstufig (a) simple
29
Einsundeins (n) addition table
Eintafelprojection (f) one-plane pro-
j ectioneintausend one thousandeinteilen (vt) divide; arrange, classify;
calibrateeinteilig (a) unipartiteEinteilung ( f ) division; arrangement,
classification; calibrationEinteilungsprinzip (n) classification
principleeintreten (vi) enter; occureintypig (a) of the same typeeinundeinhalb one and a halfeinundz w anz ig twenty-oneeinundz wanzigst twenty-firsteinw ertig (a) one-valued, single-valued.,
unival ent
Einw ertigk ei t (f) one- valuedness, single-valuedness, univalence
EJjr3_ah_l (f) singulareinz eichnen (vt) sketch, plot, fill in
Einz eichnung (f) sketching, plotting,
filling in
Einz el amplitude (f) single or indivi-dual amplitude
Einz el fall (m) individual caseeinz eln (a) single
Einzelschwingung ( f ) individual vibra-tion
Einzelstiick (n) single itemEinz el vektor (m) single vectorEinzigkeitsbeweis (m) uniqueness proof
or theoremEinzigkeitsprinzip (n) uniqueness prin-
cipleEinz igkeitssatz (m) uniqueness theoremeirund (a) ovalEkliptik ( f ) eclipticelastisch (a), elastic
Elastizitat ( f ) elasticity
Elastizitatsflache (f) Fresnel's surfaceof elasticity
Elastizitatsgrenze (f) elastic limit or
strength
Elastizitatskoeffizient (m) coefficientor modulus of elasticity
Elastizitatskonstante (f) elastic con-stant or modulus
Elas tizit atsmodul (m) modulus of elas-
ticity
elektr isch (a) electric(al)
Elektrizitat (f) electricity
elektromagnetisch (a) electromagnetic
Elektrom agnetismus (m) electromag-n etism
Elektromechanik (f) el ectr om echa
-
nics
Elektromet er (n) electrometerelektromotorisch (a) electromotiveElektron (n) electronElektron endr all (m) electron spin
Elektr onenlehre ( f ) electronicsElektronenschale ( f ) electron shell
Elektron enspin (m) electron spin
Elektronentheorie (f) theory of elec-trons
Elektron en volt (n) electron volt
Elektronenwelle (f) electron waveElektronik ( f ) electronics
Elektrostatik ( f ) electrostatics
elektr os tatis ch (a) electrostatic
Elem ent (n) elementelem entar (a) elementaryElem entargeometrie (f) elementary
geometryelem ent argeom etrisch (a) elementary
geometric, by elementary geom-etry
Elementargesetz (n) elementary or
fundamental lawElementarintegral (n) elementary
integral
Element arkegel (m) elementary coneElem ent ar kor respondenz ( f ) element-
ary correspondenceElementarpartikel (f) elementary
p article
Element arp endel (n) elementarypendulum
Elementarprozess (m) elementaryprocess
Elementarquantum (n) elementaryquantu m
Elementarsymmetrie ( f ) elementarysymmetry
element arsymm etris ch (a) element-ary-symmetric
Elementarteilchen (n) elementaryparticle
Elementarteiler (m) elementarydivisor
Ele mentarwurf el (m) unit cubeElem ent arz elle ( f ) unit cell
Elementenausgleichung (f) adjust-
ment of elements or quantities
Elementenpaar (n) pair of elementsElementenprodukt (n) product of
elem ents
30
Elementensystem (n) system of ele-
mentsElementgruppe ( f ) group of elementsElevation (f) elevationEleyationswinkel (m) angle of eleva-
tion
elf elevenElferprobe (f) casting out elevensElferrest (m) excess of elevenselft eleventhElftel ( n) one-eleventhEliminante (f) eliminantElimination ( f ) eliminationEliminationsalgorithmus (m) elimina-
( f ) determi-
method of eli-
tion algorithmEliminationsdeterminante
nant of eliminationEliminationsmethode (f)
minationEliminations problem (n) elimination
problemEliminationsresultat (n) result of eli-
minationEliminations theorie ( f ) elimination
theoryeliminieren (vt) eliminateEliminierung ( f ) eliminationElle (f) cubit, ell
Ellipse (f) ellipse
Ell ips enbah n (f) elliptical orbit
Ellipsenflache ( f ) area of ellipse
Ellipsengestalt ( f ) shape of the ellipse
Ellipsengleichung (f) equation of an
ellipse
Ellipsenmittelpunkt (m) center of the
ellipse
Ell ips enquadrant (m) quadrant of an el-
lipse
Ellips ensegm ent (n) segment of ellipse
Ellipsenzirkel (m) elliptic compass,ellipsograph, trammel
Ellipsenzone ( f ) zone of an ellipse
Ellipsograph (m) ellipsograph
Ellipsoid (n) ellipsoid
Ellipsoidenflache ( f ) surface of ellip-
soid
ellipsoidformig (a) ellipsoidal
ellipsoidisch (a) ellipsoidal
Ellipsoidober flache ( f ) surface of ellip
soid
elliptisch (a) elliptical
Elliptizitat ( f ) ellipticity
Elongation ( f ) elongation, lengtheningEmission (f) emission
Emissionstheorie (f) emission theory(of light)
emittieren (vt) emitempfinden (vt, vi) perceive, senseEmpfindlichkeit (f) sensitivity
Empfindlichkeitsachse (f) sensitive
axis ( of a gyro)
Empfindlichkeitsgrad (m) degree of
sensitivity
Empf indlichkeitsgrenze ( f) limit of
sensitivity
Empfindlichkeitskurve (f) sensitivity
curveEmpfindlichkeitsmaximum (n) maxi-
mum sensitivity
Empfindlichkeitsmesser (m) sensitom-e te r
Empfindlichkeitsschwankung ( f ) fluc-
tuation of sensitivity
Empfindlichkeitsverteilung (f) dis-
tribution of sensitivity
Empfindlichkeitszahl (f) sensitivity
factor
Empfindung (f) perception, sensation
Empirie (fj empiricism, experienceempirisch (a) empiricalempirisch-statistisch (a) nonsto-
chastic
Empirismus (m) empiricismEndbahn ( f ) final path
Ende (n) end, extremityEndergebnis (n) end or final result
Endfaktor (m) end factor
Endflache (f) terminal face, pina-
coid face, pinacoidEndgeschwindigkeit ( f ) final veloc-
ity
Endgleichung (f) final equationEndglied (n) end or final term;
final link (of chain)
endgultig (a) definite, definitive,
conclusive, final
Endgiiltigkeit (f) conclusiveness,
finality
Endlage ( f ) end or final position
endlich (a) final, terminatingendlich-additiv (a) finite- additive
Endliche, Endliches (n) finite, fini-
tudeEndlichkeit (f) finiteness
endlichviele finite number (of things)
endlos (a) endless
Endlosigkeit ( f ) endlessness
Endomorphismenring (m) endomor-phism ring
31
Endomorphismus (m) endomorphismEndoscillation (f) final oscillation
Endprisma (n) base prismEndpunkt (m) end point
Endresul tat (n) final result
Endrichtung (f) terminal direction
Endstellung (f) end or final position
Endwahrscheinlichkeit (f) final prob-ability
Endwert (m) final value; accumulatedvalue (of annuity)
Endzustand (m) final state
Energie (f) energy; powerEnergiedichte (f) energy density
Energieeinheit (f) unit of energyEnergieell ipsoid (n) energy ellipsoid
Energiegleichung ( f ) energy equationEnergieimpulstensor (m) energy mo-
mentum tensor
Energieinhalt (m) energy contentEnergieniveau (n) energy level, quan-
tum state
Energi eprinzip (n) energy principle
Energiequantum (n) quantum of energyEnergiesatz (m) energy theoremEnergiespannungstensor (m) energy stress
tensor
Energies tromung (f) energy flow or flux
Energies tufe ( f ) energy level
Energietensor (m) energy tensor
Energietragheit (f) inertia of energyEnergie iibertragung ( f ) transfer or trans-
mission of energyEnergieumwandlung (f)- transformation
of eneryeng, enge (a) narrow, restricted; close
Enge (f) narrownessentarten (vi) degenerateentartet (a) degenerateEntartung (f) degenerationentbehrlich (a) dispensableEntbehrlichkeit (f) dispensability
entdecken (vt) discoverEntdeckung (f) discoveryentf ernen (vt) remove, eliminateentf ernt (a) distant, remoteEntfernung (f) distance, removal,
elimin ation
Entfernungsabhangigkeit ( f ) distance
dependency or relationship
Entf ernungskreis (m) geodesic distancecircle
entge ge ngesetz t (a) opposed, opposite,
inverse
Entgegensetzung (f) oppositionEnthalpie (f) thermal function,
enthalpyenthalten (vt) contain, involveEntropie ( f ) entropyentscheidbar (a) decidableEntscheidbarkeit (f) decidabilityentscheiden (vt) decideEntscheidung (f) decisionEntscheidungsproblem (n) decision
problementsprechen (vi) correspond, be cor-
related
entsprechend (a) corresponding,homologous, correlated
Entsprechen (n) correlation, corres-
pondenceEntsprechung ( f ) correspondence,
correlation
Entsprechungszahl (f) statistical
ratio
Entsprechungsziff er (f) coefficient
of correlationentstehen (vi) arise, be generated
or producedEntstehung (f) origin, beginningentwerfen (vt) design, draw, sketch,
trace
Entwerfung ( f ) designing, drawing,sketching, tracing
Entwerfungsebene ( f ) drawing or
projection planeentwickeln (vt) develop, expandentwickelt (a) explicit
Entwicklung (f) development, ex-
pansionEntwicklungssatz (m) expansion theo'
remEntwurf (m) drawing, sketch, plan
Entwurfslehre (f) drafting
Enveloppe ( f ) envelopeEnveloppensatz (m) envelope theo-
remEpheulinie ( f ) cissoid
Epitrochoide ( f ) epitrochoidEpizykel (m) epicycleEpizykloide (f) epicycloidEpsilon (n) Greek letter epsilon
(E, €)
Erdachse (f) polar axis of the earth
Erdaquator (m) earth's equator
Erdbahn ( f ) earth's orbit
Erdbahnhalbmesser (m) radius of
earth's orbit
32
Erdball (m) terrestrial globeErddrehung (f) earth's rotation
Erddurchmess er (m) earth's diameterErde ( f ) earth
Erdenj ahr (n) terrestrial yearErdf erne ( f ) apogeeErdglobus (m) terrestrial globeErdhalbmesser (m) earth's radius
Erdj ahr (n) terrestrial yearErdkarte ( f ) map of the world, terrest-
rial m ap
Erdkar tenpro jektion ( f ) map projectionErdkugel (f) terrestrial sphere or globeerdma gnetisch "(a) geomagneticErdmagnetismus (m) terrestrial mag-
netism, geomagnetismErdmeridian (m) terrestrial meridianErdmessung ( f ) geodesyE rdmittelpunkt (m) center of the earth
Erdn ahe (f) perigeeErdpol (m) earth's poleErdumdr ehung (f) earth's rotation
Erdumfang (m) circumference of the
earth
Erduml auf (m) revolution of the earth
(round the sun)
Ereignis ( n) eventEreignismasse (f) statistical universe of
cumul ative data
Erfahrung (f) experienceErfahrungs wissenschaft (f) empirical
knowledge or scienceErfolg (m) success
erfiillbar (a) satisfiable
Erf vi llbarkeit (f) satisfiability
erftlllen (vt) fulfill, satisfy; fill up
Erfiillung (f) fullfilling, satisfying
Erg (n) erg
erganzen (vt) complete, supplement;(recip.) e. sich; supplement eachother
Erganzung ( f ) completionErganzungsbogen (m) complementary
arc
Erganzungslemma (n) supplementallemma
Erganzungsreihe (f) complemental series
Erganzungsvektor (n) complementaryvector
Erganzungswinkel (m) complement (to
a right angle), supplement (to a
straight angle), explement (to a
round angle)ergeben (vt, vr) yield, produce; result
Erg e b n i
s
(n) result, yield
Ergodenhypothese (f) ergodic hypoth-esis
Ergodentheorie (f) ergodic theoryergod isch (a) ergodic
erhaben (a) convexErhabenhelt (f) convexityerhalten (vt) get, obtain; preserve
Erhaltung (f) getting, obtaining;preservation (of angle, length);
conservation (of energy, matter,momentum)
Erhaltungssatz (m) law of preservation; theorem of preservation or
equivalence (in topology); law of
conservation (of energy, matter,etc.
)
erheben (vt) raise
Erhebung (f) elevation; (alg.) in-
volutionErhebungs win kel (m) angle of ele-
vation
erlaubt (a) permissibleerleichtern (vt) facilitate
ermitteln (vt) ascertain, determineErmittlung ( f ) determinationerrechnen (vt) compute, determineErrechnung (f) computation, deter-
minationerrichten (vt) erect, put up
Errichtung (f) erectionErsatz (m) replacement, substitution;
substitute, equivalentErscheinung (f) phenomenonErscheinungsform (f) outward or
physical appearanceersetzbar (a) interchangeable, re-
placeableersetz en (vt) replace, substitute
Ersetzung (f) replacement, substitu-
tion
Ersetzungsaxiom (n) axiom of sub"stitution
erst (a) first
erst (adv) firstly.
erst recht ; all the more, a for-
tiori
erstens (adv) first, in the first place,
to begin witherwarten (vt) expectErwartung (f) expectation, expect-
ance, expectancyErwartungsw ert (m) expectance, ex-
pectancy, expectation, probablevalue
33
erw eitern (vt, vr) expand, extendErweiteru,ng (f) extensionErweiterungskorpe r (m) extension field
erzeugen (vt) generateErzeugende (f) generator, generatrix,
generating line, element, ruling
Erzeugendenschar (f) regulus
Erzeugung ( f ) generation, productionerzi el en (vt) net (as profit)
erz wungen (a) forcedEta (n) Greek letter eta (H, 17)
euklidisch (a) EuclideanEuler (N) Eulerscher Mul tipl ika tor:
Euler's multiplier, integrating fac-
tor; Eul ersche Z ahl : Euler number,secant number; Eulersches Integral:
Eulerian integral
e ventu el 1 (a) possible
E v idenz ( f ) evidenceE v i denzs tu f
e
( f ) evidence level
E volute (f) evoluteE volutenfl ache (f) evolute surface,
surface of centers, center surface,
c en tro -surface
e volutorisch (a) trend
E volvente (f) evolvent, involuteewig (a) eternal, perpetualexa kt (a) exactExa ktheit (f) exactnessExempel (n) exampleexemplifizieren (vt) exemplifyExhaustion ( f ) exhaustionExhaustionsmethode (f) method of ex-
haustionExis tenz ( f ) existenceExis tenzbereich (m) existence domainExistenzbewei's (m) existence proof
Exis tenz theorem (n) existence theoremexis ti er en (vi) exist
explizit (a) explicit
explizite (adv) explicitly
Exponent (m) exponent, indexExponentenbewertung (f) exponential
valuationExponentenkette (f) exponential chainExponentialfunktion (f) exponential
fu nc tion
Exponentialgleichung (f) exponentialequation
Exponentialgrosse (f) exponential(quantity)
Exponentialkurve ( f ) exponential curveExponentialreihe ( f ) exponential series
exponentiell (a) exponential
Extensionalitat (f) extensionalityExtensionalitatsaxiom (n) axiom of
extensionalityExtensita t ( f ) extensityextensi v (a) extensiveExtinktion ( f ) extinctionExtinktionskoeffizient (m) extinction
coefficientExtinktionsspe k trum (n) extinction
spectrumExtrapol ation ( f ) extrapolationextr apolleren (vt) extrapolateExtr apolierung ( f ) extrapolationextrem (a) extremeExtrem (n) extreme, extremumExtr emale ( f ) extremal, geodesicExtremalenbogen (m) extremal arcExtrem a lenbiischel (n) one-param-
eter family, or pencil, of ex-trem als
Extrema lenfeld (n) field of extre-mals Extensionalitatsaxiom
Extrem alenintegral (n) extremalintegral
Extrema lenschar (f) family of ex-tremals
Extremalflache ( f ) extremal surfaceExtr em alfr age ( f ) extremal problemExtremal funktion (f) extremal func-
tion
Extremalkurve (f) extremal curveExtr emalpolynom (n) extremal poly-
nomialExtremalproblem (n) extremal prob-
lemExtremfall (m) extreme caseExtrempunkt (m) critical or turning
point, apse (of curve)Extremwert (m) extreme valueexz entrisch (a) eccentricExz entrizi tat (f) eccentricity.
numerische E.: eccentricity of
a conic; lineare E.: distancefrom center to focus of conic
Exzess (m) excessexzess iv (a) excessive
Facette (f) facet or face (of crystal)
Faden (m) string, thread
Fadenevolute (f) thread or string
evoluteFadenevol vente (f) string involute
or evolvent
34
Fadenkonstruktion ( f ) thread construc-
tion (for ellipse, ellipsoid, lines of
curvature)Fadenkreuz (n) cross hairs
Fadennetz (n) reticule
Fahrplan (m) time-table.graphischer F.: graphical time-table,displacement graph
Fahrstrahl (m) radius vector, focal ra-
dius
Faktor (m) factor
Faktor enanalyse (f) factorial analysis
F aktor ensystem (n) factor set
Faktorenumkehrprobe ( f ) factor reversal
test
Faktor enzerl egung ( f ) factoring, factori-
zationF aktor gruppe ( f ) factor or quotient groupFaktorielle (f) factorial
Faktoriellenreihe ( f ) factorial series
Faktorzerlegung (f) factoring, factori-
zationFakultat ( f ) factorial
Fall (m) fall, drop; case
Fallbahn (f) path of fall
Fallbeschleunigung (f) acceleration of
fall
F allbewegung ( f ) motion of falling bodiesfall en (vi) fall, drop; descendfallen (vt) dropFallgeschwindigkeit (f) velocity of fall
Fallgesetz ( n) law of falling bodiesFallhohe (f) height of drop or fall
Fall-linie (f) slope line
Fallparabel (f) trajectory parabola,approximate ballistic curve
Fallung (f) droppingFallunterscheidung (f) distinction be-
tween cases
Fall winkel (m) angle of fall
Fallzeit ( f ) time of fall
fals ch (a) false, incorrect, wrongFalschheit ( f ) falsehood, incorrectnessfalten (vt) fold.
gefaltete Funktion: folded or con-voluted function
Faltung (f) convolution, faltung, fold,
folding. F. zweier Funktionen:convolution or faltung of two func-tions
F arad (n) farad
fass en (vt) holdFassungskraft (f), Fassungsvermogen (n)
holding or cubic capacity
fast (a) almost, nearly
f ast-periodisch (a) almost periodicFeder ( f ) springFederwage (f) spring balanceFederzirkel (m) spring dividers, bow
springs
Fehler (m) error, deviation.mittlerer F. : root-mean-squaredeviation, standard deviation
Fehlerabschatzung (f) estimate of
error
Fehlerausgleichung ( f ) adjustmentof errors
Fehlerbestimmung (f) determinationof error
Fehler dreiec k (n) triangle of error
Fehler ellipse ( f ) ellipse of error
fehl erfrei (a) error-free, faultless,
flaw less , correctFehlergesetz ( n) law of errors
Fehlergleichung (f) observationalequ ation
Fehlerglied (ny error termFehlergr enze ( f ) limit of error
fehl erha ft (a) erroneous, incorrect,
faulty, defectiveFehler kurve (f) error curveFeh lerquadra t (n) square of error
Fehlerquadratsumme (f) sum of the
squares of the errors
Fehlerquelle ( f ) source of error
Fehlerrechnung ( f ) theory of error
Fehlerspielraum (m) margin of error,
tol eranceFehlertheorie (f) theory of error
F ehler verteilung (f) distribution of
errors
Fehlerzahl ( f ) number of errors
Fehlschluss (m) wrong conclusion,
fallacy
fein (a) fine
Feinmessung (f) precision measure-ment
Feinstruktur (f) fine structure, microstructure
Feld (n) field
Feldableitung (f) field derivative
Felddichte ( f ) field density
Feldenergie (f) field energyFelderregung ( f ) field excitation
felderzeugend (a) field- producingFeldex tr emale (f) field extremalfeld-frei (a) field-free, zero field
Feldfunktion ( f ) field function
35
Feldgesetz (n) field law or principle
Feldgleichung (f) field equationFeldgrosse ( f ) field quantity
Feldintegral (n) field integral
Feldintensitat (f) field intensity or
strength
Feldkomponente (f) field componentFeldlinie (f) field line or curve;
(phys.) field line (in any vector
field), line of flow (in velocity field),
line of force (in field of force)
F eldlini enbild (n) image of field lines
Feldlinienrohre (f) tube of flux
Feldm agnet (m) field magnetFeldm ass (n) land measureF eldm esser (m) surveyorFeldmessung ( f ) surveyingFeldrichtung ( f ) field direction
F eldstarke (f) = FeldintensitatFeldtheorie (f) field theory
Feld vektor (m) field vectorFeld verha ltnis (n) field ratio
Feld verl auf (m) field courseFeld verzerrung ( f ) field distortion
Feldzust and (m) field state
fern (a) distant, remoteFeme ( f ) remoteness, (long) distanceF ernkr aft (f) long-range force
Fernpunkt (m) distant point
Fernrohr (n) telescopeFern vergleich (m) long-distance com-
parisonFernwirkung (f) long-range action
F ernzone (f) remote or distant zonefest (a) fixed, constant; firm, strong;
solid
F estheit (f) solidity, solid state;
strength, firmness; fixed position
Festigkeit ( f ) solidity; strength
festlegen (vt) fix, determine, specifyFestlegung ( f ) specificationFestpunkt (m) fixed point
f estsetzen (vt) stipulate, fix
Festsetzung (f) stipulation
feststell en (vt) establish, fix
Festellung ( f ) establishment, determi-nation
Festwert (m) fixed value, constant
Figur (f) figure, diagram, graphFigurenachse (f) axis of a figure
figuriert (a) figurate (number)Fingerbreite ( f ) finger's breadthFingerregel (f) hand rule
Fingerzeig (m) indication
Finsternis (f) darkness; (astr.)
eclipse
fix (a) fixed
fixieren (vt) fix
Fixpunkt (m) fixed point
Fixpunktformel (f) fixed-point for-
mulaFixpunktsatz (m) fixed-point theo-
remFixstern (m) fixed star
flach (a) flat, planeFlache (f) surface, surface area;
face (of polyhedron, polyhedralangle)
Flachenabschnitt (m) surface seg-
mentFlachenanzahl (f) number of faces
(of polyhedron)Flachenaufnahme ( f ) areal survey
(in geodes y)
Flachenausdehnung (f) surface ex-
pansion or extension; squaredim ensions
Flachenbelegung (f) surface layer
Flachenberechnung (f) computationof area
Flachenbiischel (n) pencil of sur-
faces
Flachendeformation (f) surface de-
formationFlachendiagonale ( f ) plane diago-
nal
Flachendruck (m) surface pressure
Flacheneinheit ( f ) square unit
Flachenelement (n) element of area,
surface elementFlachengeschlecht (n) genus of a
surfaceFlachengeschwindigkeit (f) areal
velocityFlachengesetz (n) law of areas
Flachengitter"
(n) plane or two-di-mensional lattice
flachengleich (a) equal (in area)
Flachengleichung (f) surface equa-tion
flachenhaft (a) two-dimensionalFlacheninhalt (m) area, surface
area
Flachenintegral (n) surface integral
Flacheninvariante (f) surface invari-
ant
Flachenklasse (f) class of surfaces
Flachenkomplex (m) two-dimensionalcomplex
36
Flachenkongruenz (f) surface congruenceFlachenkrummung ( f ) surface curvatureFlachenkur ve (f) curve on surfaceFlachenlot (n) perpendicular to a surface
Flachenmass (n) square or surfacemeasure
Flachennetz (n) network of surfacesFlachenpunkt (m) point on surfaceFlachenraum (m) area
Flachenrichtung (f) surface directionFlachens atz (m) law of areas
Flachenschar ( f ) family of surfaces
Flachenschwerpunkt (m) center of gra-
vity of a surfaceFlachens egment (n) = Flachenstiick
Flachens tr eifen (m) surface strip
Flachens tu ck (n) surface segment,area under the curve
Flachensystem (n) system of surfaces
Flachenteil (m) portion of a surface
F
l
a chentheorie (f) theory of surfaces
Flachentragheitsmoment (n) areal or
geometric moment of inertia
flachentreu (a) area-preserving, equi-
areal
Flachentreue (f) preservation of area
Flachenvektor (m) surface vector
Flachenvergleichung (f) area compari-son
Flachenwinkel (m) dihedral angle
Flachenzahl (f) number of faces (of
polyhedron)Flachheit (f) flatness
Flachpunkt (m) point 6f undulation
Flachpunktspar abel ( f ) parabola havingpoint of undulation, undulatory
p arabolaFlachtangente (f) tangent at point of
undulation, undulatory tangentF 1 a s c h e (f) bottle; (mech.) pulley
Flaschenzug (m) block and tackle, pul-
ley set
Flatter (m) directional oscillation,
flutter
Flattergrenze (f) critical flutter
Flexion (f) flection, bendingfl iegen (vi) fly
Fliehkraft ( f ) centrifugal force
fl iessen (vi) flow
Fluchtlinie (f) vanishing line
Fluchtlinientafel ( f ) alignment chart,
nomogramFluchtpunkt (m) vanishing point
Flug (m) flight
Flugbahn (f) trajectory
Flugelgruppe (f) statistical end class
Fluidum (n) fluid
Fluktuation (f) fluctuationfluktuieren (vi) fluctuateFluss (m) flow, flux
Flussigkeit (f) fluid, liquid;
fluidity
Flttssigkeitsbewegung (f) motion of
fluids
Flussigkeitsdichte (f) fluid densityFlussigkeitsdruck (m) fluid pressureFliissigkeitsdynamik (f) fluid dy-
namicsFlu'ssigkeitskugel ( f ) fluid sphereFliissigkeitsmass (n) liquid measureFlussigkeitsmechanik (f) mechanics
of fluids, hydromechanicsFliissigkeitss tatik ( f ) statics of
fluids, hydrostaticsFliissigkeitsstromung (f) flow of a
fluid
Flu'ssigkeitszustand (m) fluid state
Fluxion (f) fluxion, differential
quotient (with respect to time)
Fluxionsrechnung (f) Newton'smethod of fluxions
fokal (a) focal
Fokaldistanz (f) focal distance or
length
Fokalebene (f) focal planeFokalellipse (f) focal ellipse (of
quadric)Fokalflache (f) focal or caustic
surfaceFokalhyperbel (f) focal hyperbola
(of quadric)Fokalkegel (m) focal coneFokalkegelschnitt (m) focal conic;
umbilicar conic (of surface).
die Nabelpunkte liegen auf demF.
:
the umbilics lie on the um-bilicar (focal) conic
Fokallinie ( f ) = BrennlinieFokalparabel ( f ) focal parabola (of
paraboloid)Fokus (m) focus
fokussieren (vt) focus, focalize
Fo kussierung ( f ) focusing
Fokusweite (f) focal distance or
lengthFolge ( f ) sequence, series; conse-
quencefolgen (vi) follow
folgend (a) following, next, subse-
quent
37
folgern (vt) deduce, infer
Folgerung (f) conclusion, deduction;
coroll ar y
Folges atz (m) corollary
Folium (n) foliumfordern (vt) demand, require; postulateForderung (f) requirement; postulateForm (f) form, shapeformal (a) formalformalis ieren (vt) formalizeForm a lisierung ( f ) formalizationForm alismus (m) formalism; symbolismForm anderung (f) change of formF orm el (f) formulaForm elappara t (m) formula apparatus
Formelpaar (n) pair of formulasForm elreihe (f) group or series of for-
mulasFormelsammlung (f) collection of for-
mulasForm elspra che (f) language of symbols
or formulasform en (vt), formier en (vt) formFormensystem (n) system of formsFormierung (f) formationformlos (a) shapeless, amorphousformulieren (vt) formulateFormulierun g (f) formulationForm ver anderung (f) change of form,
deforma tion
fortlaufend (a) continued, continuousfortpf lanzen (vt, vr) propagate trans-
mitFortpf lanzung (f) propagation, trans-
missionFortpflanzungsgeschwindigkeit ( f ) veloc
ity of propagation or transmission
fortschreit en (vi) proceedFortschr eiten (n) precession (of equi-
n ox es)
fortschreitend (a) progressive, trans-
la tory
Fortschr eitungsrichtung (f) direction of
translation, progressive direction
Fortschr eitungssinn (m) translatory
sense
fortsetzen (vt) continue, extendFortsetzung (f) continuation, extension
Fourierintegr al (n) Fourier integral
Fourier koeffizient (m) Fourier coeffi-
cient
Fourierreih e (f) Fourier series
Fou riersumm e (f) Fourier sumFouriertransformation ( f ) Fourier
transformation
Fouriertransfor mierte ( f ) Fouriertransform
fr ei (a) free; clear; vacantFreihandzeichnen (n) freehand draw-
ing
Freiheitsgrad (m) degree of freedomfr emd (a) extraneous, disjoint
Frequenz (f) frequencyFrequenzabstand (m) frequency
spacingFrequenz abweichung (f) frequency
deviation or drift
Frequenzanderung (f) frequency vari-ation
Frequenzbereich (m) frequency rangeFrequenzintervall (n) frequency in-
terval
Frequenzkurve (f) frequency curveFrequenznormal (n) frequency stan-
dard
Frequenzschwankung (f) frequencyfluctuation
Frequ enzskal a (f) frequency scaleFrequenzspektrum (n) frequency
spectrumFrequenzspru ng (m) frequency jumpfrontal (a) frontal
Frontalansicht (f) front viewFrontaleben e ( f ) frontal planeFrontalflache (f) frontal surfaceFruhlingsaquinoktium (n) vernal
equinoxFruhlingspunkt (m) vernal point
Fruhlingstagundnachtgleiche ( f
)
vernal equinoxfuhren (vt) guide, leadFuhrung ( f ) guiding, leadingFuhrungsfeld (n) guiding field;
gravitational field
fundamental (a) fundamentalFundamentaldreieck (n) fundamen-
tal triangle; harmonical triangle
Fundamental folge (f) fundamentalsequence
Fundamental gleichung (f) fundamen-tal equation
Fundamentalprinzip (n) fundamentalprinciple
Fundamentalpunkt (m) fundamentalpoint
Fundamentalreihe (f) fundamentalsequence
Fundamentalsatz (m) fundamentaltheorem or law
38
Fundamentalschleife (f) fundamentalloop
Fundament altetraeder (n) fundamentaltetrahedron; harmonical tetrahedron
Fundierungsaxlom (n) restrictive
axiomfiinf five
Fiinf (f) number five, figure five
Funfeck (n) pentagon, pentanglefii nf eckig (f) pentagonalFiinfeckszahl ( f ) pentagonal numberFiinfer (m) figure five
funf fach (a) fivefold, quintuplefiinf fl achig (a) pentahedralfiinfhunder t five hundredfiinf mal five times
fiinf malig (a) five-time, repeated five
tim es
Fiinfseit (n) pentalateral, pentagonfii nfseitig (a) five-sidedfii n f s t ell ig (a) five-place, five-digit
Fiinfstern (m) five-pointed or five-
pronged star, pentacle, pentagramfiinf t fifth
F iinftel (n) fifth part, one fifth
fiinf tens (adv) fifthly, in the fifth
placefiinf wert ig (a) five-valuedfii nfza hlig (a) fivefold
fii nf zehn fifteen
Fiin fz ehn ec k (n) pentadecagonfii nf zig fifty
fii nf zigs t fiftieth
Funktion ( f ) functionfunktional (a) functionalFunktional (n) functionalFunktional analysis ( f ) functional ana-
lysis
Funktionalde term in ante (f) functionaldetermin an t
Funktional gl eichung ( f ) functional equa-tion
Funktionalmatrix ( f ) functional matrixFunktional operation (f) functional ope-
ration
Funktional operator (m) functional ope-rator
Funktional trans formation (f) functionaltr ansf ormation
funktionell (a) functionalFunktionenbildung (f) functional forma-
tion
Funktionenfolge (f) sequence of func-tions
Fun ktionen funktion ( f ) function ofa function, functional
Funktionengattung (f) species of
functions
Funktionenkalkiil (m) functionalcalculus
Funktionenkl asse ( f ) class of func-tions
Funktionenkorper (m) function do-main
Funktionenproblem (n) functionalproblem
Funktionenraum (m) function spaceFunktionenrechnung ( f ) functional
calculus
Funktion ens ystem (n) system of
functions
Funktionentafel (f) function table
funktionentheoretisch (a) function-theoretic
Funktionentheorie ( f ) functiontheory
Funktionselement (n) functionel ement
Funktionsf eld (n) function field
Funktions klasse (f) class of func-tions
Fun ktionss kala ( f ) nomogram scale
Funktions taf el (f) function table
Funktions wert (m) function valueFunktionszeichen (n) functional
symbolFuss (m) foot (length)
Fusskerze (f) foot-candleFusspfund (n) foot-poundFusspunkt (m) foot (of perpendicular);
nadir (of horizon)Fusspunktf lache (f) pedal surfaceFusspu nktkur ve ( f ) , Fusspunkt linie
(f) pedal curveFusspunk ts kurve .(f) pedal curve
Galileitrans formation ( f ) Galileantransform a tion
G allone ( f ) gallon
G alois (N) Galoissche Erweiterung:
Galoisian or normal extension;
Galoissches Polynom: Galoisianor normal polynomial
Galois-Feld (n) Galois field
G amma (n) Greek letter gamma (T,
y)G am mafunktion (f) gamma function
39
G amm as trahl (m) gamma ray
Gamm as trahlung (f) gamma radiation
Gang (m) turn (of helix, screw)
Ganghohe (f) pitch (of helix, screw)
Gangpolkegel (m) polhode coneGangpolkurve (f) polhode curveganz (a) entire, whole, ganze Funktion:
entire or integral function, holo-
morphic function
ganz - abgeschloss en (a) integrally closed
G an ze(s) (n) whole
g anzfl achig (a) holohedralGanzheit ( f ) entirety, i nt egral ness
,
wholenessGanzflachner (m) holohedronganzzahlig (a) integral
Ganzzahlkeit (f) integralness
G as ( n) gas
gasartig (a) gaseous
G as dich ,e (f), G as dich tigkeit ( f ) gas
d ens ity
gasformig (a) gaseousGattung ( f ) kind, species
geben (vt) give. es gibt : there is or
exis ts
G ebiet (n) domain, region, field, rangeGebietsbeschrankung (f) regional restric-
tion
Gebietseinschrankung ( f ) regional restric-
tion
G ebilde (n) construct, configuration,
geometric element or form; forma-tion or structure (of crystal)
gebogen (a) bent, curvedgebrochen (a) broken, fractional; re-
fracted (light)
gebun den (a) bound; latent (heat)
gedacht (a) imaginary, imaginedGed achtnis (n) memorygedampft (a) dampedGef ail beschr ankung ( f ) slope restriction
G ef alle (n) gradient, slope
Gefall funktion (f) slope functionGefrierpunkt (m) freezing point
g eg eb en (a) givenGegenbeispiel (n) counterexampleGegen dr ehung (f) counterrota tion
Gegenecke (f) opposite vertex, vertex
oppositeGegengewicht (n) counterbalanceG eg en kant e (f) opposite edgeG egenkathete ( f ) opposite leg of a right
triangle
Gegenkeil (m) one of a pair of cor-responding dihedral anglesformed when two planes are cut bya third, innere (aussere) Gegen-keile: interior (exterior) dihed-ral angles on the same side of
transverse planeGegen k raft (f) counter force, reac-
tion
Gegenkrummung (f) reverse curva-ture
gegenlaufig (a) oppositely orientedor directed
Gegenlogarithmus (m) antilogar ithmGegenrichtung (f) opposite direction
or senseGegensa tz (m) contrastG egensa tzlichkeit (f) contrarinessGegensehnensatz (m) Ptolemy's
theorem on inscribed quadrilat-eral
Gegenseite (f) opposite side, side
oppositegegenseitig (a) mutual, reciprocalG egenseitigkeit (f) mutuality, re-
ciprocity, interdependenceGegensinn (m) opposite sense or
directiongegensinning (a) of contrary sense,
oppositely directedG egenstand (m) object; topic
G egenstiick (n) analogGegen teil (n) contrarygegenub erl ie ge n (vi) be oppositegegenu'berliegend (a) oppositeG egeniib erstellung (f) comparison.
dualistische G . : dualistic cor-
relation or comparisonGegenwahrscheinlichkeit (f) counter-
probability
G egenwert (m) equivalentG egenwinkel (m) one of a pair of
corresponding angles formed by
two lines and a transversal.
innere (aussere) G .
:
interior
(exterior) angles on same side
of transversa 1
Gegenwirkung (f) reactionGegenzeigersinn (m) counterclock-
wiseGehalt (m) content(s), capacity;
proportion, ratio
gehen (vi) go, pass, run
40
gekoppelt (a) coupledgekrilmmt (a) curvedGelenk (n) joint, link
Gelenkkette (f) series of links, linkage
Gelenkviereck (n) linked or articulated
quadrilateral, four-bar linkage
gelichtet (a) thinned out, reduced.
gelichtete Klasse, Transformation:reduced class, transformation
gelten (vi) hold, be true or valid
Geltung ( f ) validity
gemein (a) common, ordinarygemeinsam (a) common, joint
gemeinschaftlich (a) commongenau (a) accurate, exact, precise,
true; due (east, etc.)
G enauigkeit (f) accuracy, exactness,
precisionG enauigkeitsbestimmung (f) determina-
tion of accuracyGenauigkeitsgrad (n) degree of accuracy,
degree of precision
Genauigkeitsgrenze ( f ) limit of accu-racy, limit of precision
Genauigkeitsmass (n) measure of accu-racy
G enauigkeitsschwelle ( f ) lower limit of
precisiongeneigt (a) inclined, slopinggeneralisieren (vt) generalizeG ener alizierung (f) generalizationGener alnenner (m) least or lowest com-
mon denominatorgenerell (a) generalgenerisch (a) genericG eodasie ( f ) geodesyGeodate (f) geodesicgeodatisch (a) geodesic, geodeticGeodynamik (f) geodynamics.G eogr aphie (f) geographygeographisch (a) geographicG eoid (n) geoidGeoisotherme (f) geoisothermgeoma gnetisch (a) geomagneticG eomagnetis mus (m) geomagnetismG eomechanik (f) geomechanicsGeometer (m) geometer, geometricianG eometrie ( f ) geometrygeometrisch (a) geometricgeometrisch-anschaulich (a) geometric
visual
geometrisch -optisch (a) geometric op-tical
geometrisieren (vt) geometrize
G eometrisierung (f) geometrizationGeometrographie (f) geometrographyGeophysik (f) geophysicsgeophysikalisch (a) geophysicalGeophysiker (m) geophysicistgeordnet (a) ordered, arrangedgeothermisch (a) geothermalgeozentrisch (a) geocentricgepaart (a) pairedgerade (a) straight (line); even
(number)Gerade (f) straight line
G eradenflache (f) basal pinacoid in
tetragonal and hexagonal systems(of crystals)
Geradenfiihrung (f) straight (line)
guide. Pe aucelliersche G.:
Peaucellier' s linkageGer adengleichung ( f ) equation of
straight line
G eradenquadrupel (n) set of four
lines
Ger adenraum (m) space composedof straight lines
Geradenschar (f) family or systemof straight lines
Geradfiihrung (f) = GeradenfiihrungGeradheit ( f ) even ness (of number)
;
straightness (of a line)
geradlinig (a) rectilinear; ruled
Geradlinigkeit (f) rectilinearity
geradlinig-schiefwinkelig ( a)
rectilinear-obliquegeradzahlig (a) even-numberedGeradzahligkeit (f) quality of being
even- numb er ed
gerichtet (a) directed, orientedGerichtetheit (f) orientationGeriist (n) framework, frameGesamtanzahl (f) total numberGesamtbeschleunigung (f) total ac-
celerationGesam tbetrag (m) aggregate or total
amountGesamtenergie (f) total energyGesamtentwicklung ( f ) total develop'
m ent
Gesamterstreckung (f) entirety.
in ihrer G.: in the large
G esam tf eld (n) total field
G esamtheit (f) totality; statistical
universe or populationGesamtheitsmittel (n) population
a verage
41
Gesamtimpulse (m) total momentumGesam tintensitat ( f ) total intensity
G es am tkriimmung ( f ) total curvature,
curvatura IntegraGes amtmasse (f) total mass; statistical
universe or populationG es am tmit tel (n) overall averageG es amtproj ektion (f) total projectionGesamtschwerpunkt (m) composite
c enter of gravityGes am ts trichzahl ( f ) total number of
rulings
Gesamtsumme (f) aggregate amount,grand total
Ges amtvolumen (n) total volumeG esam twer t (m) total valueGesamtwiderstand (m) total resistance
G es am tz ahl (f) total numbergeschichtet (a) 'laminated, stratified
Geschicklichkeits spiel (n) game of
skill
geschlangelt (a) sinuous, windingGes chlecht (n) genus or deficiency (of
curve, surface)
Geschlechtszahl (f) deficiency numbergeschlossen (a) closedgeschlun gen (a) curved, windinggeschweift (a) curved, sinuous
G esch windigke it (f) velocity, speed,
rate
G esch windigkeits abnahme (f) decelera-tion
G esch windigkeitsamplitude (f) velocity
amplitudeG es ch windigkeits an derung ( f ) change in
velocity or speedG es ch windigk ei tsbereich (m) velocity
rangeGeschwindigkeitsdiagramm (n) velocity
diagramG es chwindigkeits gefalle (n) velocity
gradientGeschwindigkeitskomponente (f) velocity
componentG eschwindigkeits koordinaten ( f p 1 ) veloc-
ity coordinatesG eschwindigkei tspotential (n) velocity
potentialGeschwindigkeitsparallelogramm ( n)
parallelogram of velocities
Geschwindigkeitsquadrat (n) square of
velocityGeschwindigkeitsraum (m) velocity
range
Geschwindigkeitsschaubild (n) veloc-ity diagram
Geschwindigkeitssch wankung ( f
)
fluctuation or variation in speedGeschwindigkeitsspektrum (n) veloc-
ity spectrum .
Geschwindigkeitsstufe ( f ) velocitystage
Geschwindigkeitsvektor (m) veloc-ity vector
Gesch windigkeits verlust (m) loss
of speed or velocityGes chwindigkeits verteilung (f) dis-
tribution of velocity or speedG es etz ( n) lawgesetzlich (a) lawful, regularGesetzlichkeit ( f ) conformity with
la w ; regul arity
gesetzmassig (a) lawful, regularGesetzma ssigkeit (f) conformity
with law; regularity
Gesichtkreis (m) horizonG esich tspunkt (m) station point (of
p erspective)
G es ichts winkel (m) visual angle;
aspect
Gesimsflache (f) surface-mou lure,
molding surf ac
e
Gestalt (f) form, shapegestaltlos (a) shapeless, amorphousG estal tver anderung ( f ) change of
shape or formGestange (n) rod system, linkageGestirn (n) star; stellar bodygestreckt (a) stretched, flat, straight
ges trichelt (a) dashed, brokengesucht (a) required
G etriebe (n) linkageGewicht (n) weightG ewichtseinheit (f) unit of weightGewichtssumme (fj sum of the weights
G e w i n
n
(m) gainGewinnanspruch (m) claim to win-
nings
gewinnen (vt) gain, obtain, produce;( vi) an Geschwindigkeit g.:
gain in velocity or speedGewinnerwartung ( f ) expectation of
winningGewinnung ( f ) gaining, obtaining,
productiongewiss (a) certain
Gewisshe it (f) certainty
gewohnlich (a) common, ordinary,
vulgar
42
gewolbt (a) convexgewunden (a) tortuous, twisted, windingGiebelflache ( f ) apical surface, face of
the prismGiebelwinkel (m) apical anglegiltig (a) valid, true
Giltigkeit ( f ) validity, truth
Gitter (n) lattice; (phys.) gratingGitterabstand (m) lattice spacingGitter anordnung (f ) lattice arrangementGitter fa ktor (m) lattice or grating fac-
tor
Gitter bau (m) lattice structure
Gitterebene (f) lattice planegitter formig (a) latticedGittergerade ( f ) , Gitterlinie (f) lat-
tice line
Gitt ermitte (f) lattice centergittern (vt) grate, lattice
Gitternetz (n) lattice net or systemGitternormal e (f) lattice or grating
norma 1
Gitterpunkt (m) lattice pointGitterschwingung ( f ) lattice vibrationGitterstorung ( f ) grating disturbance*
lattice dislocation or distortion
Gitterstrich (m) ruling of a gratingGittertheorie (f) lattice theoryGitter vektor (m) lattice vectorGitterverschiebun g ( f ) = GitterstorungGlanz wink el (m) complementary angle
of incidenceglatt (a) smoothGlatte (f) smoothnessglatten (vt) smoothGlattung (f) smoothinggleich (a) equal, equivalent, like; samegleichartig (a) of the same kind or
species; homogeneousGleichartigkeit ( f ) homogeneitygleichbedeutend (a) equivalentgleichbl eibend (a) constantG leiche ( f ) isogramGleicher (m) equatorGleiche( s) (n) equal(s)
gleichflachig (a) isohedralgleichformig (a) uniform; homogeneousG leichformigkeit ( f ) uniformity; homoge
neity
gleichgerichtet (a) parallelGleichgerichtetheit ( f ) parallelismgleichgestreut (a) homoscedasticGleichgewicht (n) balance, equilibriumGleichgewichtsbedingung (f) equilib-
rium condition
Gleichgewich tslage ( f ) equilibrium
£
g
£
s.
a
&
g
g
position
eichgewichtslehre (f) statics
eichgewich ts zustand (m) state of
equilibriumeichgradig (a) uniform.
g. s tetig: equicontinuouseichgross (a) of equal size
eichheit ( f ) equalityeichheitsz eichen (n) equal or
equality sign
eichlang (a) of equal lengtheichlauf (m) parallelism; synchro-
nism (of clocks)
eichlaufen (vi) oe parallel
eichlauf end (a) parallel; synchro'
nizedeichlauf ende ( f ) parallel line
eichliegend (a) homologouseichmachen (vt) equalizeeichmachtig (a) equipotenteichm achtigkeit (f) equipotency,
equal power or cardinality
eichmachtigkeitstheorie ( f ) theory
of equipotencyeichmachung (f) equalizationeichmassig (a) even, uniformeichmassigkeit ( f ) uniformityeichm oglich (a) equally possible
or likely
eichmoglichkeit (f) equal likeli-
hood ( of events)
eichnamig (a) like, similar
eichrichten (vt) aline; rectify
eichrichter (m) rectifier
eichrichterkristall (m) rectifying
crystal
eichrichterwirkung (f) rectifying
actioneichrichtung ( f ) alignment* recti-
fication
eichschenkelig (a) isosceles
eichseitig (a) equilateral
eichseitigkeit (f) equality of sides
eichsetzen (vt) equateeichsetzung (f) equatingeichsetzungsmethode (f) method
of comparisoneichsinnig (a) of the same sense
eichstreuung ( f ) homoscedasticityeichstrom (m ) direct current
eichung ( f ) equationeichungsansa tz (m) formulation
of equation
43
Gleichungsauflosung (f) solution of
equationGleichungsform (f) form of equationGleichung skonstante (f) constant term
o f equ ation
G leichun gspa ar (n) pair of equationsG 1 eichungspoly nom (n) polynomial
equated to zeroGleichungssystem (n) set or system of
equationsGleichungs th eorie (f) theory of equationsgleich verteilt (a) evenly distributed
G leich vert eilung ( f ) equidistributiongleichviel (a) equinumerous
g leich wahrscheinlich (a) equally prob-able
gleich weitig (a) equidistantGl eich w ert (m) equivalentgleichwertig (a) equivalentGleich w ertigkeit ( f) equival encegleichwinkelig (a) equiangularGleichwinkeligkeit ( f ) isogonalitygleichzahlig (a) numerically equivalentGleichzahlig keit ( f ) numerical equiv-
alenceGleichzeitenkurve (f) isochronegleichzeitig (a) simultaneousGleichzeitigkeit (f) simultaneityG leitbewegung ( f ) gliding or sliding
motionG leitebene ( f ) slip planegleiten (v.i) glide, slide
Gleitflache ( f ) sliding surfaceglei tfr ei (a) nonslippingGleitkurve ( f ) glissette
Glied (n) term; component (of logical
connection); link (of chain)gliedern (vt, vr) segment, classify;
articulate
G liederung ( f ) segmentation, classifi-
cation; articulationGliedkorrelation (f) serial correlationGliedlange (f) link lengthgliedweise (a) term by termGliedzahl (f) link number or relativeGliedziffer (f) link relative
G lobularproj ektion ( f ) globular projec-tion
Globus (m) globeGlockenflache (f) bell-surfaceglockenformig (a) bell-shapedGlockenkurve (f) bell-curve, probability
curveGliicksfall (m) chance event, lucky in-
cident
Gliicksspiel (n) game of chanceGnomon (m) gnomongnomonisch (a) gnomonicG oniometr ie ( f ) goniometrygoniometrisch (a) goniometricGrad ( m) degreeGradbogen (m) graduated arc, pro-
tractor; quadrant scaleGradeinteilung ( f ) graduation in
degreesGradheit (f) = GeradheitGradient (m) gradientGradkreis (m) graduated circle
gradlinig (a) rectilinear
Gradlinigkeit ( f ) rectilinearityGradm ass (n) degree measure, de-
grees, neues G.: grads or gradesGradmesser (m) protractor; gradu-
ated scale
Gradmessung ( f ) measurement of
arcs
Gradnetz (n) map grid
Gra dnetz entwerfung (f) gra ticul ation
Gradnetz entwurf (m) graticuleGradteilung (f) graduation in degreesgraduieren (vt) graduateGraduierung (f) graduationGradzahl (f) number of degreesGradzahlung ( f ) reckoning in degreesGramm (n) gramGrammkalorie (f) gram calorieGrammolekul (n) gram moleculeGrammolekulargew icht (n) gram-
molecular weightGran ( n) grain
Granatoeder (n) rhombic dode-cahedron
graphisch (a) graphic(al)Graphostatik ( f ) graphical statics
graphostatisch (a) graphostaticGratlinie (f) edge, of regression,
cuspidal edgeGravitation (f) gravitation, gravity
Gra vitationsbeschleunigung (f) ac-
celeration of gravity
Gra vitationsf eld (n) gravitational
field
Gra vitationsfluss (m) gravitationalflux
Gra vitationsges etz (n) law of gra-
vity
Gravitationsinvariante (f) gravita-
tional invariantGravitationskonstante ( f ) gravita-
tional constant
44
gravitieren (vi) gravitategra vi tier end (a) gravitatingGreifzir kel (m) caliperGrenzazimut (m) limiting or critical
a zim u th
Grenz bedingung (f) boundary condition,limiting condition
Grenzdicht e (f) limiting or critical den-sity
Grenz druck (m) limiting pressureGrenze ( f ) bound, boundary, limit
Grenzeinhullende ( f ) limit envelopeGrenz elem ent (n) limiting or boundary
elementgrenz enlos (a) boundless, limitless, un-
limitedGrenz fall (m) limiting case.
Kreise and Geraden sind Grenzfalleder logarithmisch en Spirale:
circles and straight lines are limit-ing cases of the logarithmic spiral
Grenz flache (f) boundary surface;
limit surface (of a congruence);contact surface (of two bodies)
Grenz form ( f ) limiting formGrenz fun ktion (f) limit or limiting
functionGrenzgebiet (n) boundary regionGrenz ge falle (n) limiting slope or
gradientGrenzgeschwindigkeit ( f ) limiting velo-
city '
G renz gleichung (f) boundary equationGrenz kontinuum (n) boundary continuumGrenz kurve ( f ) boundary curve, limit or
limiting curveGrenz lage (f) limiting position
Grenz lehr dor n (m) tolerance plug gaugeGrenz linie ( f ) boundary line
Grenzpoten tial (n) limiting or critical
potentialGrenzpunkt (m) boundary point, limit
or limiting point; virtual focus or
limit point (of congruence); class
limit (of statistical group)Grenzrachenlehre ( f ) ext er na 1 - 1 im it
gaugeGrenzraum (m) limiting spaceGrenzschicht ( f ) boundary layer
G renzsingularitat ( f ) boundary singularity
Grenzstreifen (m) boundary band or strip
Grenziib er g an g (m) passage to the limit
Grenzwe rt (m) limiting value, limit
G renzwerteigenschaf t (f) limit-valueprop erty
Grenzzahl ( f ) limit numberGrenzzeichen (n) limit symbol: limgrob (a) coarse, roughGros (n) 12 dozen, gross
gross (a) great, large.
im grossen: in the large
Grosse ( f ) magnitude, size; expres-
sion, quantity; rate (of speed, of .
change)Grossenbestimmung ( f ) magnitude
determinationGrossenbeziehung ( f ) relation be-
tween magnitudes or quantities
Grossengleichung ( f ) equation be-
tween quantities
Grossenlehre ( f ) theory of quanti-
ties; mathematicsGrossenordnu ng ( f ) order of magni-
tudeGrossenschatzung (f) estimate of
magnitudeGrossen verhaltnis (n) proportion,
ratio
grosser (a) greater, larger
Grosskreis (m) great circle (of
sphere)Grosskreisbogen ( m) arc of great
circle
gro sst (a) largest, greatest, maxi-mal, m aximum
Grosst entfernung (f) greatest dis-
tanceGrosstwert (m) greatest value, maxi-
mal or maximum valueGrosszahlforschung (f) the method of
statistics
Grund (m) ground; reason, basis,
f o undationGrundaufgabe ( f ) basic problemGrundaussage ( f ) basic or elemen-
tary statementGrundbegriff (m) basic conceptGrundebene (f) ground or horizontal
plane, basal plane; (cart., engin.)
datum plane or level
Grundflache (f) base (of prismoid)
Gr undform ( f ) fundamental formGrundformel ( f ) fundamental formulaGrundfunktio n (f) base or basic func-
tion
Grundgebil de (n) elementary or
prime formGrundgesamthei t (f) parent popula-
tion (of sampling)
45
Grundgesamtheitsmasszahl ( f ) parame-ter of a statistical distribution
Grundgesetz (n) basic lawGrundgitter (n) fundamental lattice
Grundgleichung (f) fundamental equa*1
tion
Gru ndgross e (f) fundamental quantityG rundint egral (n) fundamental integral
Grundkegelschnitt (m) fundamentalconic (of polarity)
Grundkonst ante (f) fundamental con-stant
Grundkorper (m) ground field
Grundkreis (m) base circle; circle of
inversion; circle of referenceGrund ku gel ( f ) fundamental sphere;
sphere of inversionGrundkurve ( f ) given curveGrundlage ( f ) foundationGrundlagendiskussion ( f ) dis«ussion of
the foundations (of mathematics)Grundlagenforschung (f) study of the
foun da tions
Grundlagenfr age (f) problem in the
foundations (of mathematics)Grundlagenkris e (f) crisis in founda-
tions
Grundlagenproblem (n) = Grundlagen-frage
grundlegend (a) basic, fundamentalGru ndlinie ( f ) base (line), ground line
Gru ndmass (n) fundamental unit
Grundmass e (f) base or initial popula-tion
Grundma terial (n) basic materialGrundni veau (n) lowest level (of
energy)Grundop eration ( f ) basic or fundamen-
tal operationGrundpermutation (f) principal per-
mutationGru ndprisma (n) unit prism, proto-
prismGrundpunkt (m) fundamental point; lim'
iting point (of pencil of circles);
cardinal point (of lens)
Grundpyramide ( f ) unit pyramid, proto-pyramid
Grundrechenoperation (f), Grundrech-nungsart ( f ) basic arithmeticaloperation
Grundregel ( f ) fundamental rule
Grundreihe (f) fundamental series
Grundrel ation (f) fundamental relation
Grundriss (m) horizontal projec-tion, plan
Grundrissebene ( f ) horizontal pro-jection plane, ground plane
Grundriss -ipur (f) trace on the hori-
zontal planeGrundsatz (m) axiom, principleGru ndton (m) fundamental tone;
keynoteGrundungleichung ( f ) fundamental
or basic inequalityGrund vektor (m) basis vectorGrund verknupfung (f) fundamental
connection or connectiveGrundwert (m) basic valueGrundzahl ( f ) cardinal number;
base (of a power, a logarithmicsystem), radix (of a scale of
notation)
G ru ppe ( f ) gr ou
p
Gruppenbil dung (f) groupingGruppencharakter (m) group charac-
ter
Gruppeneigenschaft (f) group prop-erty
Gruppeneinteilun g (f) division into
groups, groupingGruppenelement (n) group elementGruppenmatrix ( f ) group matrixGruppenmittel (n) group averageGruppenring (m) group ring
gruppentheoretisch (a) group-theo-retic( al)
Gruppentheorie ( f ) group theory
gruppenweise (a) by groups; (statist.)
stratified
gruppieren (vt) groupGruppierung (f) groupingGruppoid (n) groupoidGudermann (N) Gudermanns Funktion:
hyperbolic amplitude, Guder-mannian
giiltig (a) valid, true
Giiltigkeit ( f ) validity, truth
Gilltigkeitsbeschr ankung ( f ) validity
restriction
giinstig (a) favorable, successful
Giirtel (m) girdle, ring; zone (of
sphere); (astr.) belt
Gurtelkurve (f) girdle or ring curveGutlehre (f) tolerance or go gaugegyromagnetisch (a) gyromagneticGyroskop (n) gyroscopeGyrostat (m) gyrostat
46
HHaarfeder (f) hair springHaarzirkel (m) hair compasshaft en (vi) adherehaft fahig (a) adhesiveHaf tfahigk ei t ( f ) adhesion, adhesivenessHaf tflache (f) area of adhesionHaftspannung (f) adhesive stress
Haftung (f) = Haftfahigkeith alb (a) half, semi..,
Halbabstand (m) midrangeHalbachse ( f ) semiaxishalbbeschr ankt (a) semiboundedHalbdeterminante ( f ) s emidet erminant,
Pfaffian
Halbebene ( f ) half plane, hemiplanehalbeinfach (a) semi-simpleHalbeinf achheit (f) semi-simplicityhalbelliptisch (a) semielliptichalbfest (a) semisolid, subsolidh albflachig (a) hemihedralHalbflachner (m) hemihedronHalbgruppe ( f ) semigrouphalbieren (vt) divide in half, bisect
Halbierende (f) bisector
Halbierung (f) division in half, bi-
sectionHalbierungsebene ( f ) bisecting planeHalbierungslinie (f) bisecting line
Hal bierungspun kt (m) midpointHalbierungswinkel (m) bisecting anglehalbinvariant (a) seminvariantHalbin vari ante (f) seminvarianthalbkon ver gent ( a ) , halbkonvergierend
(a) semicon vergentHalbkreis (m) semicircleHalbkreisbiischel (n) pencil of semi-
circles
Halbkreisf lache (f) area of semicirclehalbk r e isformig (a) semicircularhalb kr istallin (a) semicrystallineHalbkugel ( f ) hemispherehalbkugelformig (a) hemispherical,
se misphericalHalbkugelges talt ( f ) hemispherical shapehalbkugelig (a) hemisphericalHalbleiter (m) semiconductorHalblinie (f) half line or ray
halblogarithmisch (a) semilogarithmicHal bmesser (m) radius
Halbmond (m) half moon, crescenthalbmondf ormig (a) crescent- shapedhatbnormal (a) seminormalHalbperiode (f) half period
H albprisma (n) he mi prismHalbraum (m) half spaceHalbrund (n) semicirclehalbrund (a) semicircularHalbschatten (m) half shade, half
shadow, penumbraHalbschattengrenze ( f ) penumbra
boundaryH a 1 b s e i t
e
( f ) half side
Halbseitensatze (mpl) formulas for
the half sides of a sphericaltriangle
halbstetig (a) s emicontinuousHalbstetigkeit (f) semicontinui ty
Halbstrahl (m) (half) ray
Halbstreif (m), Halbstreifen (m)half strip
Halbsymmetrie ( f ) hemisymmetryhalbsymmetrisch (a) h'emisymmetrich albunitar (a) semi-unitaryHalbwelle ( f ) half wave, semiwaveHalbwellendipol (m) half-wave
dipoleHalbwellenlange (f) half- wave
lengthHalbwert (m) half valueHalbwertsbreite ( f ) half-value width
or breadthHalbwertsperiode (f) half-life
periodHalbwertzeit ( f ) half life, half-
life periodHalbwinkel (m) half angleHal bwinkelsatz (m) half-angle for-
mulahalbzahlig (a) half- in tegral
Halbzahlkeit ( f ) half integralness
Halfte (f) half
half tflachig (a) hemihedralHalftflachner (m) hemihedronHal tpunkt (m) stopping point
Hamilton funktion ( f ) Hamilton'sfunction,Hamiltonian
Handelsgewicht (n) avoirdupois
weightHandelsstatistik (f) trade statistics
Handzirkel (m) dividers
Harmonikale ( f ) harmonic or unit
line
Harmonikalebene ( f ) harmonic or
unit planeharmonisch (a) harmonicHarmonische ( f ) harmonicHaube ( f ) cap (of surface)
Haufen (m). cluster, heap, pile
47
h aufbar (a) cumulativehau fig (a) frequentHau figkeit ( f ) frequencyHaufigkeitsfunktion ( f ) frequency func-
tion
Haufigkeitsgruppe ( f ) frequency groupHaufigkeitsklasse ( f ) frequency class
Haufigkeitskoeffizient (m) relative fre-
quencyHaufigkeitskurve ( f ) frequency curveHaufigkeitspolygon (n) frequency poly-
gonHaufigkeitsverteilung ( f ) frequency dis-
tribution
Haufigkeitsvieleck (n) frequency polygonH aufig keits w ert (m) frequency valueHaufigkeitsziffer ( f ) relative frequencyHau fu ng ( f ) accumulation, cluster
Haufungsgr enze (f) limit (of a set)
Haufungspunkt (m) point of accumulation,cluster point, limit point
Haufungsstelle ( f ) accumulation point,
cluster or limit point; (statist.)
cluster
Haufungs wert (m) limiting valueHauptachse (f) principal axis; major
axis (of ellipse), transverse axis
(of hyperbola)Hauptachsenkoordinate (f) coordinate
of princ ipal axis
Hauptachsenkreuz (n) system of princi-
pal axes
Hauptbeanspruchung (f) principal stress
Hauptbestandteil (m) principal compo-nent or constituent
Hauptch ara kt er (m) principal characterHauptdehnung ( f ) principal elongationHauptdeterminante (f) principal de-
terminantHauptdiagonale (f) leading or princi-
pal diagonal (of a determinant)Haupt diagonal element (n) element of
principal diagonalHauptdiametralebene (f) principal
diam etral planeHauptebene (f) principal planeHaupt einfallswinkel (m) angle of prin-
cipal incidenceHauptelem ent (n) principal element;
leading or principal element (of a
determinant, a matrix)Hauptf all (m) principal caseHauptflache (f) principal surfaceHauptfolge (f) canonical or principal
sequ ence
Hauptglied (n) principal termHauptideal (n) principal idealHauptidealring (m) principal ideal
ring
Hauptkennzeichen (n) chief charac-teristic
Hauptkonvergenzbedingung ( f ) prin-cipal condition, or test, for
convergenceHaupt kreis (m) great circle (on
sphere)
Hauptkriimmung (f) principal curva-ture ( of surface)
Haupt krii mmungshalbmesser ( m),
Hauptkrummungsradius (m) prin-
cipal radius of curvatureHauptkrummungsrichtung (f) direc-
tion of principal curvature,curvature direction
Hauptkugel ( f ) sphere of inversionHauptkurve ( f ) primitive curveHauptlinie ( f ) principal line, main
or trunk line
Hauptmaximum (n) principal maxi-mum
Hauptmess zahl ( f ) composite indexnumber
Hauptminor ( f ) leading minor (of
determinant)Hauptnenner (m) least common de-
nominatorHauptnormale (f) principal normal
(of skew curve)Hauptnormalenbild (n) image of
principal normalHauptnormal enrichtun g (f) direc-
tion of principal normalHauptnormalenvektor (m) principal
normal vectorHauptnormalschnitt (m) principal
normal section
Hauptordnung ( f ) principal order
Hauptproj ection (f) principal or
standard viewHauptpunkt (m) principal point;
cardinal point (of compass);
point of striction (of surface)
Hauptrichtung (f) principal direc-
tion; cardinal point (of compass);(statist. ) trend
Hauptsatz (m) principal or maintheorem
Hauptschatten (m) umbraHauptscheitelkreis (m) major auxil-
iary circle
48
Hauptschnitt (m) principal section
Hauptschwingungsrichtung ( f ) princi-
pal vibration directionHauptsehne (f) principal chordHauptspannung ( f ) principal strain,
stress, or tension; (elec.) princi-
pal potential or voltageH auptspektrum (n) principal spectrumHauptstrahl (m) principal ray
Hauptstrahlenbiindel (n) principal beamor bundle of rays
Hauptstr ahlneigungs winkel (m) inclina-
tion angle of principal ray or beamHauptsy m metrieachse ( f ) principal axis
of symmetryHauptsym metrieebene ( f ) principal plane
of s y m m etry
Haupt tangente (f) inflectional tangent,
or asymptotic direction (on surface)
Haupttangentenkurve (f) asymptoticcurve or line (on surface)
Hauptteil (m) principal part
Haupt tra gheitsachse (f) principal axis
of inertia
Haupttra gheitsmoment (n) principal
moment of inertia
Hauptunterde term in ante ( f ) principalor leading minor of a determinant
Hauptwert (m) principal valueHauptzahl ( f ) principal number; vari-
able factor (of algebraic term)Hebel (m) lever
H eb el arm (m) lever armh eb en (vt) lift, raise; (vr) cancelHeisch es a t z (m) postulateHektar (n) hectareHektogramm (n) hectogramHek toliter (n) hectoliterHek torn eter (n) hectometerhelioz en tr isch (a) heliocentricHemibrachydoma (n) hemibrachydomeHemidom a (n) hemidomeHemieder (n) hemihedronHemiklinodoma (n) hemiclinodom e
Hemimakrodoma (n) hemimacrodomehem imorp h (a) hemimorphicHemim orphie ( f ) hemimorphismHemiorthodoma (n) hemior thodomeHemiprism a (n) hemiprismhem iprism atisch (a) hemipris maticHemip yr amide {f) hemipyramidH em isph are (f) hemispherehemispharisch (a) hemisphericalhemisymmetrisch (a) h emis y mmetric
hemitrop (a) hemitropicHemizykel (m) hemicyclehemiz yklisch (a) hemicyclicHenkel (m) handle.
Kugel mit p Henkeln: sphere with
p handles, orientable or two-sided surface of genus p
Henkelkorper (m) orientable mani-fold
Heptagon (n) heptagonheptagon al (a) heptagonalherabf al len (vi) fall downherabgleiten (vi) glide or slide
downherabhangen (vi) hang downherabm indern (vt) diminish, reduceHer abminderung (f) diminution, re-
ductionherabs etzen (vt) lower, reduceHerabsetzung ( f ) lowering, reduc-
tion
herabsinken (vi) drop, sink
herabziehen (vt) draw or pull downherauf Ziehen (vt) pull up
herausfallen (vi) drop or fall out,
cancel out
herausheben (vt) factor out; (vr)
cancel out
herauskommen (vi) come out, emergeherauskristallisieren (vi) crystallize
out
herausschrauben (vt) unscrewherausziehen (vt) draw or pull out
Herbsta quinoktiu m (n) autumnalequinox
Herbstnachtgleiche ( f ) autumnalequ inox
Her bstpunkt (m) autumnal point or
equinoxHerbsttagundnachtgleiche (f) autum-
nal equinoxherleiten (vt) derive (a formula)
Herleitung ( f ) derivation
Hermite ( N) Hermitescher Kern;
Hermitian kernel;
Hermitesche Form, Matrix:Hermitian form, matrix;
Hermitesches Integral;
Hermitian or Hermite's integral
hermitisch (a) Hermitian [= Her-
mit esch j
Herpolhodie (f) herpolhodeherstellen (vt) establish, produceHerstellung (f) production
49
h eru m dr eh en (vt, vr) turn round, rotate
aboutherunter fallen (vi) fall downHerzkurve ( f ) , Herzlinie (f) cardioidheterogen (a) heterogenous, inhomoge-
n ou s
Hetero geneitat ( f ) heterogeneity, inbo-rn ogeneity
heterogra d (a) heterogradeheteromorph (a) heteromor phicH et erom orphie ( f ) h eteromorphismh euris tis c h (a) heuristic
Hexade ( f ) hexadH ex ae der (n) hexahedronhex ae drisch (a) hexahedralHexagon (n) hexagonhexagonal (a) hexagonalHex a gon al itat ( f ) hexagonalityHex agon al zahl (f) hexagonal numberHex a gramm (n) hexagramHexakiso kt aeder (n) hexoct ahedronhexakisoktaedrisch (a) hex oc tah edral
Hexakistetraeder ( n) h ex at etr ahedronhexakistetraedrisch (a) hex atetrahedra 1
Hilbert (N) Hil bert- Raum: Hilbert space,
or space H; Hilbertsches Integral:
Hilbert' s integral
Hilfsfigur ( f ) auxiliary figure
H ilf s form el (f) auxiliary formulaHilfsgleichun g ( f ) auxiliary equationHilfsgrosse (f) auxiliary or subsidiary
quantity, parameterHilf skoordina te (f) auxiliary or para-
metric coordinateHilf slinie ( f ) auxiliary line
Hilfsmittel (n) aid, meansHilfspoiynom (n) auxiliary polynomialHilf spunkt (n) auxiliary pointHilf ss atz (m) auxiliary theorem, lemmaHilf s variable ( f ) auxiliary or subsidiary
variable, parameterHilfs vektor (m) auxiliary vectorHilfsveranderliche ( f ) = Hilfs variable
Himmel (m) sky, heavensHimmels achse (f) celestial axis
Himm els aqu a tor (m) celestial equatorHimmelserscheinung ( f ) celestial phe-
nom enonHimm els gegend (f) heavenly region;
com pass point
Himmelsglobus (m) celestial globe
Himmelshalbkugel (f) celestial hemi-sphere
Himmels kart e (f) celestial map
Himm els koordinaten (fpl) celestial
coordinatesHimmels korper (m) celestial or
heavenly bodyHimmelskugel (f) celestial sphereHimmelskunde (f) astronomyHimm els mechanik (f) celestial
m echanicsHimmels meridian (m) celestial
meridianHimm elsnordpol (m) celestial north
pol e
Himmelspol (m) celestial poleHimmelspunkt (m) celestial point
Himmmelsrichtung (f) compass point
Him m els siidpol (m) celestial southpole
Himm els zeichen (n) celestial or
zodiacal s ign
him mlis ch (a) celestial, heavenlyhindur ch dringen (vi) penetrate, pierceh indur chgehen (vi) pass through,
cross
hindurchpassieren (vi) = hindurch-geh en
Hinlangl ich k ei
t
(f) sufficiencyH i n langlichkeitsbeweis ( m ) proof
o f s uf ficienc y
hinreichend (a) sufficient
hinter (a) back, rear.
hintere Derivierte: regressive
or back derivativehinter (prep) behindHin terbl iebenenversicherung ( f
)
survivor's insuranceHinter ec ke (f) rear cornerHinter f 1 ache ( f ) rear faceHinter gl ied (n) consequent (of a
ratio); (log.) second componentHinter kegel (m) back(ward) coneHin ter kante ( f ) rear edgeHinterseite (f) back, rear
hiniiber (adv) across, overhiniiberfuhren (vt) carry overhinubermultiplizieren ( vt, vi) cross
multiplyhiniiberschaffen (vt), hinubertrans -
ponieren (vt) transfer or trans-
pose to the other side
hinunter (adv) down(ward)Hinweis (m) cross referencehinzufiigen (vt) addHinzu fiigung (f) additionHippopede (f) hippopede (curve),
spherical lemniscate
50
hoch (a) high
hochfr equenz (a) high-frequencyHochf requenz ( f ) high frequencyHochfrequenzfeld (n) high-frequency
field
Hochfrequenz strom (m) high-frequencycurrent
Hochfrequenzstufe (f) high-frequencystage
Hoch frequ en z trans form ator (m) high-frequency transformer
hochgestellt (a) raised, superior
hochgradig (a) of a high degree, high-grade
hochs t (a) highest, maximum.hochster Koeffizient: leading co-efficient
Hochs tausschl a g (m) maximum ampli-tude or swing, maximum deflection
Hochs tdauer (f) maximum durationHochs tdimension (f) highest dimensionHochs tdrehmoment (n) maximum torqueHochs tdruck (m) maximum pressureHochs tf ehl er (rh) maximal error
Hochs tfr equenz ( f ) maximum frequency,hyp er frequency
Hochstgeschwindigkei t (f) maximumspeed or velocity
Hochstmass (n) greatest measure,m ax imum
Hochs tspa nnung (f) maximum tension;
(elec.) maximum or peak voltageHochs tst and (m) highest level
Hochs tstrom (am) maximum or peakcurrent
Hochs tw ert (m) maximum valueHochstzahl ( f ) highest or maximum
numberHochs tziffer ( f ) highest or maximum
figure
hochs tzulassig (a) m ax imum - perm issib le
hochw er tig (a) high-valuedHochz ah 1 (f) exponentHodograph (m) hodographHodographenkurve ( f ) hodograph (curve)
Hof fnu ng ( f ) expectationHon e (f) altitude, height; pitch (of
tone)
Hon en abschnitt (m) distance from ver-
tex of a triangle to the orthocenter
Hohenbestimmung (f) determination of
altitude or heightHo h en differ enz ( f ) difference in height,
rise
Hohenformel (f) altitude formulaHohengleich ( f ) altitude parallelHohenkote ( f ) spot height (in map)Hohenkr eis (m) circle of altitude,
azimuth circle
Hohenlinie (f) line of level, con-tour line
Hohenlinienkarte (f) contour mapHohenmass (n) measure of altitude
or elevationHohenparallaxe ( f ) altitude pa-
rallax
Hohenschnittpunk t (m) orthocenter(of a triangle)
Ho h enstrah 1 (m) cosmic ray
Hohenstrahlung ( f ) cosmic radiationHohepunkt (m) culminating point
hoher (a) higherhoh
1
(a) hollow, concavehohlerhaben (a) concavo-convexHohlf 1 ache ( f ) concave surface
Hohlgitter ( n) concave grating
Hohl k eg el (m) hollow coneHohlkorper (m) hollow bodyHohlkugel ( f ) hollow sphereHohllins e (f) concave or diverging
lens
Hohlmass (n) measure of capacity,
dry measureHohlraum (m) hollow spacehohlrund (a) concaveHohlspiegel (m) concave mirror
Hohlung_ ( f ) hollow, cavityHohlwinkel (m) angle < 180°,
concave angleHohlzylinder (m) hollow cylinder
Holoeder (n) holohedronholoedrisch (a) holohedralholomorph (a) holomorphicholonom (a) holonomicHolzmass (n) wood measurehorn alographisch (a) horn alographic
horn aloidisch (a) homaloidalHomoeder (n) homohedronHomoedrie ( f ) homohedrismhomoedrisc h (a) homohedralhorn ogen (a) homogeneousHomogenei tat ( f ) homogeneityHomogenei ta tsbedingung (f) con-
dition of homogeneityHomogeneitats eigenscha ft ( f ) prop-
erty of homogeneityHomo geneitatsrelatio n (f) relation
of homogeneity
51
homogenisier en (vt) homogenizeHom ogenisierung ( f ) homogeniz ation
hom ogra d (a) homogradeHomographie ( f ) homographyhomographisch (a) homographiehomolog (a) homologousHomologie ( f ) homologyHomologiegruppe ( f ) homology groupHomologiekl asse (f) homology class
Homologiezentrum (n) center of homo-logy, center of perspectivityor perspective
homomorph (a) homomorphicHomomorphie (f), Homomorphismus (m)
homomorphismHomomorphiesatz (m) law of homo-
morphismhomoomorph (a) homeomorphic, iso-
morphousHomoomorphie ( f ) homeomorphismhomoopolar (a) homeopolar, unipolarHomotopie ( f ) homotopyhomotopisch (a) homotopiehomoz entrisch (a) homocentricHorizont (m) horizonhorizontal (a) horizontalHorizontalachs e (f) horizontal axis
Hor izont al e (f) horizontalHorizontal ebene (f) horizontal planeHorizontalgeschwindigkeit (f) horizon-
tal velocityHorizontalitat (f) horizontality
Hor izont al komponente (f) horizontalcompone nt
Hor izontalkr aft (f) horizontal force
Horizontal linie ( f ) horizontal line
Horizontalparallaxe (f) horizontalparallax
Horizontalpendel (n) horizontal pen-dulum
Horizontalprojection (f) horizontal pro-
jectionHorizontalschnitt (m) horizontal sec-
tion
Horizontalschub (m) horizontal thrust
Horizontalsicht (f) horizontal visibility
Hor izontalsp annung ( f ) horizontal stress
or tension
Horizontalstreifen (m) horizontal bandor strip
Horizontal verschiebung (f) horizontalshift or displacement
Horizontbogen (m) arc of the horizonHorizontkoordinaten ( f p 1 ) horizontal
coordinates
Horizykel (m) limit curve, hori-c y cl e
Horkurve (f) audiogramHoropter (m), Horopter kurve ( f
)
horopterHuf (m) ungulaHuf kante ( f ) ungula edgeHu'lle ( f ) envelope; closure (in
linear transformation)Hiillfl ache (f) envelope surfaceHullintegral (n) envelope integral
Hullintegralformel (f) envelopeintegral formula
Hullkurve (f) envelope curveHu'llkur vensatz (m) envelope curve
theoremHundekurve (f) curve of pursuit
hundert hundredHundert (n) hundredHundertel (n) hundredth (part)
Hunderter (m) hundredHunderterstelle ( f ) hundreds placehundertprozentig (a) one hundred
percentHundertersatz (m) percentagehunderts t hundredthHunderts tel (n) hundredthhundertteilig (a) centesimal, centi-
gradeHydraulik (f) hydraulics
hy dr aulisch (a) hydraulicHydrody namik (f) hydrodynamicshydrodynamisch (a) hydrodyn.amicHydromechanik ( f ) hydromechanicshydromechanisch (a) hydromechani-
cal
Hydrosphare (f) hydrosphereHydrostatik (f) hydrostaticshydrosta tisch (a) hydrostaticHyperbel ( f ) hyperbolaHyperbelas t (m) branch of hyper-
bola
Hyperbelbahn ( f ) hyperbolic orbit
or pathHyperbelform ( f ) hyperbolic formHyperbel funktion ( f ) hyperbolic
functionHyperbelgleichung ( f ) equation of
a hyperbolaHyperbelsegment (n) segment of a
hyperbolahyperbolicus (a) hyperbolichyperbolisch (a) hyperbolic, hyper
bolische Amplitude: hyperbolic
amplitude, Gudermannian
52
Hyperboloid (n) hyperboloidHyperboloidalspiegel (m) hyperboloidal
mirrorHyper biindel (n) hyperbundleHyperbiischel (n) hyperpencilHyperdeterminante ( f ) hy perdeterminant,
invariantHypereben e ( f ) hyperplanehyperelliptisch (a) hyper elliptic
Hyperflache ( f ) hypersurfacehypergeometrisch (a) hyper geom etric
hyp erkomplex (a) hypercomplexHyperoskul ation (f) superosculationh yperoskul ieren (vt) superoscul ate
Hyp erradikal (n) hyperradicalHyperraum (m) hyperspaceHyp ersphar e (f) hypersphereHypotenuse ( f ) hypotenuseHypotenusenabschnitt (m) segment of
hypotenuseHypotenusenflache (f) hypotenuse sur-
face or face (of prism)Hyp.othese ( f ) hypothesishypothetisch (a) hypotheticalHypotrochoide ( f ) hypotrochoidHypozykel (m) hypocycleHypoz ykloide ( f ) hypocycloid
ideal (a) ideal
Ideal ( n) ideal
Idealbasis ( f ) ideal basis
Ideal krista 11 (m) perfect crystal
Idealquotient (m) ideal quotientId ealtheorie ( f ) theory of ideals
idempotent (a) idempotentidentisch (a) identicalIdentitat (f) identityidiomorph (a) idiomorphous, idiomor
phicidiophan (a) idiophanousIkos aeder (n) icosahedronikos aedr isch (a) icosahedralIkositetr aeder (n) icositetrahedron,
tr apezohedronimaginar (a) imaginary.
imaginare Kreispunkte: circular
points at infinity, focoidsImaginarteil (m) imaginary part
Implikation (f) implicationimplizieren (vt) implyimplizit (a) implicitimplizite (adv) implicitlyimpradikativ (a) impredicati ve
mprimitiv (a) imprimitivemprimiti vitat ( f ) imprimi tivity
m primitivitatsgebiet (n) system of
imprimitivit y
mpuls (m) impulse, (linear) mo'm entum
mpulsanderung ( f ) change of im-pulse
mpulserhaltun g (f) conservation of
momentummpulsfolge (f) impulse sequence or
strain
mpulsfrequenz ( f ) impulse frequencympulskomponente (f) component of
momentum or impulsempulskoordinaten (fpl) momentum
coordinatesmpulsmoment (n) moment of
momentum, angular momentummpulspeilung (f) radarmpulsraum (m) momentum range
or spacempulsreihe ( f ) impulse sequence or
train
mpulsstrahlung (f) impulse radi~
a tion
mpulsveranderung (f) change of impuis e
mpuls verh altnis (n) impulse ratio
naqui valent (a) inequivalentnaquivalenz ( f ) '•inequivalence
ndeterminiert (a) indeterminatende terminis mus (m) indeterminismndex ( m) index .
unterer I. : subscript
oberer I.
:
superscript
ndexellipsoid (n) index ellipsoid
ndexschreib weise ( f ) index nota-tion or symbolism
ndextripel (n) index triplet
ndexzahl (f), I n dexziffer ( f ) in-
dex numberndifferent (a) indifferent; inert
(gas); neutral (equilibrium)ndikator (m) indicatorndikatordiagramm (n) indicator
diagramndikatrix ( f ) indicatrix
ndirekt (a) indirect
ndividuell (a) individual
ndi viduenbereich (m) domain of
individualsIndividuenpradikat (n) predicate of
individuals
53
Indi viduenvariable ( f) individual vari-
ableIndi viduum (n) individualindizi er en (vt) indicateindizier t (a) indicatedIndizierung (f) indicationIndu ktanz (f) inductanceInduktion (f) inductionin dukti v (a) inductiveIndu ktivita t (f) inductanceinduzier en (vt) induceineinander liegen (vi) be incidentIneinanderliegen (n) incidenceineinanderschachteln (vi) nest
Ineinanderschachtelung (f) nest
infinitar (a) infinitary
infinites im al (a) infinitesimalInfinitesimalbetrachtung ( f ) considera-
tion of infinitesimalsInfinitesimal grosse ( f ) infinitesimal
(quantity)
Infinitesimalrechnung ( f ) infinitesimal
calculusInflexionsknoten (m) inflectional node,
fl ecnodeIn fl exionspunkt (m) point of inflection
Infl exionstangent ( f ) inflectional tan-
gentinfl ex iv (a) inflexive, irreflexiveInbalt (m) content(s); area; volumeinhaltlich (a) intuitive
Inhaltsberechnung (f) cubature;qua dra ture
inhalts gleich (a) of th'e same or equalcontents; of equal volume; equiareal
inhomogen (a) inhomogeneousInhomogeneitat (f) inhomo geneityInklination ( f ) inclinationInklinationsrichtung ( f ) direction of dip
or inclinationInklinationswinkel (m) angle of incli-
n ation
inkoharent (a) incoherentInkoharenz ( f ) incoherenceinkommensurabel (a) incommensurableInkommensurabilitat (f) incommensura-
bility
inkompr essibel (a) incompressibleinkongruent (a) incongruentInkongru enz (f) incongruencein kons tant (a) inconstant, unstableIn kons tanz (f) inconstancy, instability
inkorrekt (a) incorrectInkorr ek theit (a) incorrectness
nkreis (m) inscribed circle, in-
circle
nkreismittelpunkt (m) center of
inscribed circle, incenternkreisradius (m) radius of inscribed
circle
nkr em ent (n) incrementnnen (a) internal, insidennen (adv) internallynnenaufbau (m) internal structurennendruck ( m) internal pressurennendur chm ess er (m) inside or in-
ternal diameternnenflache (f) interior surface
nnengebiet (n) interior region
nnenglied ( n) mean term (of a pro-
portion)
nnenmass (n) interior dimension or
measurennenpunkt (m) interior point
nnenr au m (m) interior (space)nnenseite ( f ) inner surface, inside,
interior
nnenspannung (f) internal stress
nnenweite ( f ) inner spannnenwiderst an d (m) internal resis
tanc e
nnenwinkel (m) interior anglenner (a) inner, inside, interior, in
ternal, intrinsic
nnere (n), Inneres (n) interior
nnerhalb (adv, prep) inside
nnerlich (a) innate, intrinsic
nnerst (a) innermostnnewohnend (a) Inherentnseparabel (a) inseparablenseparabilitat ( f ) inseparability
nstabil (a) unstablenstabilitat (f) instability
ntegr abel (a) integrablentegrabilitat (f) integrability
ntegr abilitatsbedingung (f) condi-tion for integrability
ntegrabilitatsfaktor (m) integrabi-
lity factor
ntegral (n) integral, an tiderivative
ntegr albegriff (m) integral con-cept
ntegraldefinition (f) definition of
an integral
ntegralflache (f) integral surface
ntegralformel ( f ) integral formulantegralfunktion (f) integral func-
tion
54
Integralgleichung ( f ) integral equationIntegral in variante (f) integral invari-
ant
Integral kosinus (m) integral cosineIntegral krummung ( f ) integral curva-
ture
In tegralkur ve (f) integral curveIntegrallogarithmus (m) integral loga-
rithmintegrallos (a) integral - free
Integral operator (m) integral operatorIntegralrechnung ( f ) integral calculusIntegralsatz (m) integral theoremIn tegr alsinus (m) integral sine
Integr al torsion (f), Integral win dung ( f
)
integral torsion
In tegr al wert (m) value of integral
In tegr al zeichen (n) integral sign
Integrand (m) integrandIn tegr aph (m) integraphIntegration ( f ) integration.
I. nach Teilen oder partielle I.:
integration by parts
Integr ationsber eich (m) field of in-
tegrationIn tegr ationsf or mel (f) integration for-
mulaIntegrationsgerat (n) integration device
or instrument, integrator
Integrationsgrenzen ( f p 1 ) limits of in-
tegrationIn tegr ationsint ervall (n) integration
interval
Integr at ions konstante ( f ) constant of
integrationIntegrationsmethode ( f ) integration
m ethodIntegrationsstrecke ( f ) integration in-
terval
Integrations variable (f), Integr ations -
v eranderliche ( f) variable of in-
tegration
Integrationsvolumen (n) integration
volumeIntegr ationsweg (m) path of integra-
tion
In tegr ations w eise ( f ) method of inte-
gration
Integrator (m) integration device, in-
tegratorintegrierbar (a) integrable
Integrierbarke it (f) integr ability
Integrierbarkeitsbedingung ( f ) in--
tegrability condition
integrieren (vt) integrateIntegrierung ( f ) integrationIntegritatsbereich (m) domain of
integrity, integral domainIntensita t (f) intensity
Intensitatsanderung ( f ) intensity
change or variationIntensitatskriterium (n) intensity
criterion
Intensita tsmaximum (n) maximumintensity
Intensitats minimum (n) minimumintensity
Intensitats verteilung (f) intensity
distribution
in tensi v (a) intense, intensiveInterferenz (f) interferenceInterfere nzbild (n) interference
figure or patternInter ferenz glied (n) interference
termInterferenzstreifen (m) interference
band or fringe
interf erieren (vt) interfere
intermediar (a) intermediaryinterplanetar isch (a) interplanetaryInterpol ation ( f ) interpolation
Interpolationsformel (f) interpola-
tion formulaInterpolationsproblem ( n) interpo-
lation problemIn terpol ationsr echnung (f) calculus
of interpolationInterpol ationstheorie (f) interpola-
tion theoryinterpolier en (vt, vi) interpolate
In terpolier ung (f) interpolation
interszendent (a) interscendentInterszendente ( f ) inters cendental
(number)Interszendenz (f) intersc endenceInter vail (n) interval
Intervallregel (f) interval rule
Intervallschachtelung ( f ) nest of
intervalsIntervallverhaltnis (n) interval
ratio
intransiti v (a) intransitive
Intransitivitat (f) intr ansitivity
Intuition ( f ) intuition
Intuitionismus (m) intuitionism
in tuitionistisch (a) intuitionistic
intuitiv (a) intuitive
Invaliditatsversicherung (f) disability
insurance
55
in variabel (a) invariableInvariabl e (f) invariable
invariant (a) invariantIn varian te ( f ) invariantInvariantentheorie (f) invariant theory
In varianz (f) invarianceIn vari an zs atz (m) invariance principlein vers (a) inverse, reciprocalIn vers ator (m) sphere of inversionIn vers es (n) inverseinvershyperbolisch (a) inverse hyperbo-
lic, a ntihy perbol ic, arc -hyp erbolicIn version (f) inversion.
Prinzip der I.: principle of inver-sion or of reciprocal radii
In versionskreis (m) circle of inversionIn versionskugel ( f ) sphere of inversionIn versionss atz (m) 'inversion theoremIn versionsy mbol (n) inversion symbolInversionszentrum (n) center of inver-
sion
in vers isom orph (a) i n verse- isomorphicin verstrigonometrisch (a) inverse tri-
gonometric, antitrigonometricin vertierbar (a) invertibleInvertierbarkeit (f) in vertibilit y
invertieren (vt) invert
Invertierung ( f ) inversion
Involute ( f ) involute, evolventIn vo lu tion ( f ) involutionIn volu tionssyst em (n) in volutionary or
involutory systemin volu toris ch (a) involutoryinwendig (a) inside
inzident (a) incident, conjoint, unitedInzidenz (f) incidenceInzidenzmatrix ( f ) matrix of incidenceInzi denz winkel (m) angle of incidenceIo ta (n) Greek letter iota (I,t)
irrationa l (a) irrational
Irrationalitat (f) irrationality
Irrationalz ahl (f) irrational numberirreal (a) unrealIrrealita t (f) unrealityir redu ktibel (a) irreducibleIr re du ktibili ta t (f) irreducibilityirreduzibel (a) irreducibleIrreduzibilitat ( f ) irreducibility
Irreduzibitatskriterium (n) irreducibility
criterion
irreflexi v (a) irreflexive
Irreflexi vita t ( f ) irref lexivity
irregular (a) irregular
rregularitat ( f ) irregularity
rren (vi) err, be mistaken; (vr)
sich irren: make a mistakerrev e rsibel (a) irreversible
rre versibilitat ( f ) irreversibility
rrtum (m) error
sobar (a) of equal weight, isobaric
( expression)s obar e (f) isobaric line, isobar
sobar enkarte (f) isobaric chart
sobarisch (a) isobaric (line)
sochore ( f ) isochor
sochron (a) isochronoussochrone (f) isochronous curve,
isochronesochronismus (m) isochronismsodimor phie ( f ) isodim orphismsodyname ( f ) isodynamic line
sodynamisch (a) isodynamicsogonal (a) isogonal, equiangularsogonalkreis (m) isogonal circle
sogone (f) isogonal or isogonic line,
isogonesogonie ( f ) isogonysohypse (f) line of level, contour
line
isol iert (a) isolated.
isolierter Punkt; isolated point;
(also, of a curve) acnode, con-jugate point
Isometrie ( f ) isometryisometrisch (a) isometricisomorph (a) isomorphicIsomorphic (f) isomorphism; (cryst.)
horn eomorphism, isomorphismIsomcrphiesatz (m) law of isomor-
phismIsomorphismus (m) isomorphismIsoperimetrie (f) isoperimetryisoperim etris ch (a) isoperimetrieisopolymorph (a) isopoly morphicIsopolymorphie (f), Isopolymor-
phismus (m) isopolymorphismisoptisch (a) isoptic
Isostasie (f) isostasy
Isosta tik (f) isostatics
isostatisch (a) isostatic
isotherm (a) isothermalIsotherme (f) isothermal line, iso-
thermIsothermenkarte (f) isothermal map
or chart
Isothermenschar (f) isothermalfamily
56
Isothermflache ( f ) isothermal surfaceisothermis ch (a) isothermal, isothermicIsothermkurve (f) isothermal curveIsotop ( n) isotopeIsotopie ( f ) isotopyisotopisch (a) isotopieisotrop (a) isotropic
Isotropie (f) isotropy, isotropismIs tm ass (n) actual size
Iteration ( f ) iteration, repetitionIterationsdefinition ( f ) definition of
iteration
Iterationsmethode (f), Iter ationsver fall -
ren (n) iteration methodit eriert (a) iteratedIterierung ( f ) iteration
Ja cobi ( N ) Jacobische Determinan te :
JacobianJahr esmitt el ( n) annual meanJahresschwankung ( f ) annual fluctuation
or variationJahreszeit ( f ) seasonJahrgang (m) age group or year (of a
population)Jahrhunder t (n) century
j a h r 1 i c h (a) annual, yearly
Jahr taus en d (n) millenniumJahrzehnt (n) decadeJakobs tab (m) cross-staff , Jacob* s staff
J- kurve (f) J-shaped curve, J-curvej_e ( a d v ) each, in, perJordan ( N) Jordanscher Kurvensatz:
Jordan's curve theoremJordanbogen (m) arc of a Jordan curveJordanku rve (f) Jordan curveJo ta (n) iota
KKale nder (m) calendarKalenderj ah r (n) calendar yearKaliber (n) caliberKal ibermass (n) caliber gaugekalibrieren ( v t) calibrateKalibrierung ( f ) calibrationKal ku 1 (m) calculusK alkulat ion ( f ) calculation; estimateKalkulationsfehler (m) miscalculationKal ku lator (m) calculator, computerkalkulieren (vt) calculate, computeKal orie (f) calorieKaloriengehalt (m) caloric or calorie
content
Kalorik (f) theory of heatkalorisch (a) caloricKalotte ( f ) spherical capKampyla (f) kampyleKanal (m) canal, channelKanalflache (f) canal surfaceKanalstr ahl (f) canal ray
Kanalstrahlanalyse (f) canal-rayanalysis
kanonisch (a) canonicalKante ( f ) edgekanten (vt) set on edgeKantenansicht (f) edge viewKantenanzahl ( f ) number of edges
Kantenbedingung (f) edge condi-tion
Kan tendiff er enz (f) edge differenceKantenlang e ( f ) edge lengthKantenwinkel (m) edge angleKantenzahl (f) number of edgesKapazitanz ( f ) capacitanceK apazita t (f) capacity, capacitance;
memory (of a computing machine)Kapazitatsausgleich (m) capacity
balanceKapazitatsbereich (m) capacitance
rangeKapazitatseinheit (f) unit of capac-
Uy..
kapazitatsfrei (a) noncapacitiveKapazitatskoeffizient (m) coeffi-
cient of capacitykapazitatsline ar (a) straight- line
capacitanceKapazitatsmesser (m) faradmeterKapazitatsschwun d (m) loss of ca-
pacitykapaziti v (a) capacitive
kapillar (a) capillary
Kapillaraffinitat ( f ) capillary af-
finity
Kapillar anziehung (f) capillary at-
traction
Kapillaritat ( f ) capillarity
Kapillarkraft (f) capillary force
Kapillarrohr (n) capillary tube
Kapillarwirkung ( f ) capillary action
Kappa (n) Greek letter kappa ( K, k)
Kappakurve (f) kappa curve
Karat (n) carat
Karatgewicht (n) troy-weightKardangelenk (n) Cardan or univer-
sal joint
kardanisch (a) Cardan's, Cardanic
57
Kardanring (m) Cardan or gimbal ring
Kardanwelle ( f ) Cardan shaft
K ardinal gera de ( f ) cardinal line
Kar dinalpunkt (m) cardinal point
Kar dinal zahl ( f ) cardinal numberKardinalzahlenkomplex (m) complex
of cardinal numbersK ardinal zahl en arithmetik (f) cardinal
arithmeticKar dioide (f) cardioidKardioidenflache ( f ) area of a cardioidKar te ( f ) card; chart, mapKartenentfernung ( f ) map rangeKartenentwurfslehre (f) theory of map
makingKarten mass-stab (m) map scale
Kartennetz *(n) map grid
Kartennetzentwerfung (f) graticulation
Kartennetz entwurf (m) graticule
Kar tenpr oj ek tion ( f ) cartographic or
map proj ec tion
k art es isch (a) CartesianKar togr amm (n) statistical map, carto-
gramKartograph (m) cartographerKar tographie ( f ) cartographyk artographisch (a) cartographicKassinisch (a) Cassinian.
Kassinische Kurven oder Linien:ovals of Cassini, Cassinian ovals
Kassinoide (f) Cassinian oval
Katakaustik (f) ca ta caus tics ; catacausticcurve, or sur fa ce
Kategorie (f) categorykategorisch (a) categoricalKat enoid (n) catenoidKathete ( f ) leg of a right triangLe
Kathetenfl ache ( f ) one of the shorter
faces of a right triangular prismkausal (a) causalKausalgesetz (n) law of causality
Kausalitat ( f ) causalityKausalitatsprinzip (n) causality prin-
cipleKausalnexus (m) causal connectionKausalverbindung (f), Kausal verknupf-
ung (f), Kausalzusammenhang (m)causal connection
Kaustik (f) caustics; caustic curve, or
surfaceKautionversicherung, ( f ) fidelity insur-
anceKavalierperspe ktive (f) ca valier perspec-
tive
Kavalierproj ek tion (f) cavalier
proj ection
Kegel (m) coneKegelachse (f) axis of a coneKegelbe wegung (f) conical motionKegel erzeugende ( f ) ruling or ele-
ment of a coneKegel flache (f) conical surfaceKegel form ( f ) conical shapekegelformig (a) cone-shaped, coni-
cal
Kegel gestalt ( f ) conical shapeKegelhuf (m) ungula of a conek egelig (a) cone-shaped, conicalKegel keil (m) conical wedge, cuno
cuneus (of W allis)
Kegelknotenpunkt (m) conic node,
cnic-nodeKegellehr e (f) angular or taper
gaugeK egelmantel ( m) lateral area, or
envelope, of a coneKegelpendel (n) conical pendulumKegelproj ektion (f) conic(al) pro-
j ectionKegelrumpf (m) frustum of a coneKegelschnitt (m) conic (section)
Kegelschnittpaar ( n) pair of conies
Kegelschnlittpunkt (m) point of a
conicKegelschnittscha r (f) family of
coniesKegelstumpf (m), Kegelstutz (m)
frustum of a coneKegelsystem (n) system of cones
Kehlkreis (m) circle of striction
Kehllinie (f) line of striction
Kehlpunkt (m) point of striction,
principal point
Kehrbild (n) inverted imageKehrelement (n) reversible cell or
elementKehrpunkt (m) cusp
Kehrwer t (m) reciprocal (value)
Keil (m) wedge; cuneus, dihedral
(angle), sphenoidkeilartig (a) wedge-likeKeilende (n) end of wedgeKeilform (f) wedge shape
keilformig (a) wedge-shaped,cuneiform, sphenoid
Keilkante (f) edge of dihedral or
wedgeKeilkoordinaten ( f p 1) dihedral co-
ordinates
58
Keilstiick (n) part of a wedgeKeilwinkel (m) dihedral angle
Kennkur ve ( f ) characteristic curveKennlinie (f) characteristic line
Kennlinienfeld (n) family of charac-teristics
Kennwert (m) characteristic value or
numberKennz ahl (f), Kennziff er ( f ) index;
characteristic (of logarithm); codeor key number
Kennz eichen (n) characteristic
kennz eichnen (vt) characterizeKennzeichnung ( f ) characterizationKeplerbahn (f), Keplerellipse ( f ) Kepler's
planetary orbit, elliptic orbit (of
a planet)
Keplerbewegung (f) Keplerian motionKern (m) kernel (of an integral equa-
tion, an operator), nucleus (of an
atom, an integral equation, a comet),core (of an atom, an induction coil)
Kernatom (n) nuclear atomKernaufbau (m) nuclear structure
Ker nb estandt eil (m) nuclear componentKerndich te ( f ) nuclear density
Kerndrehung ( f ) nuclear spin
Kernelektron (n) nuclear electron
Ker nenergie ( f ) nuclear energyKer nfl ache (f) nuclear surface (of a
polarity)
Ker ngrosse ( f ) magnitude or size of nuc-leus
Kernkraf t ( f ) nuclear force
Kernkurve ( f ) Steiner's nuclear curve(of a polarity), Steinerian curve
Kernladung ( f ) nuclear chargeKernladungszahl (f) nuclear- ch arge
numberKernphysik (f) nuclear physics
Kernschatten (m) full shadow, umbraKernspaltung ( f ) nuclear fission
Kernspin (m) nuclear spin
Kernz ahl (f) nuclear numberKerzenstarke ( f ) candle powerKette ( f) chainketten (vt) chainkettenartig (a) catenaryKettenbruch (m) continued fraction
Kettenbruchmethode (f) method of con-tinued fractions
Kettendi vision ( f ) continued division
Kettenflache ( f ) catenoidKettenglied (n) link of a chain
kettenformig (a) catenaryKettenindexzahl (f) Kettenindex
ziff er ( f ) chain index number,chain relative
Kettenlinie (f) catenary, chainetteKettenm atrix (f) iterative matrixKettenreak tion ( f ) chain reactionKettenrechnung ( f ) chain methodKettenregel (f), Kettensatz (m)
chain rule
Kettenstru ktur (f) chain structureKettenwachstum (n) chain growthKettenzahl (f) chain or link re-
lative
Kilogramm (n) kilogramKilogrammkalorie ( f ) kilogram
calorieKilohertz (n) kilocycleKilopond (n) kilogram weightKilowattstunde ( f ) kilo watt -hourKimm (m) horizonKimmabstand (m) distance of the
horizonKimmtiefe ( f ) dip of the horizonKinematik ( f ) kinematicskinematisch (a) kinematicKinetik (f) kinetics
kinetisch (a) kinetickippen (vt, vi) tilt
Kippmoment ( n) tilting momentKippung ( f ) tilting, tipping
Kippwinkel (m) angle of incli-
nation or tilt
Kissoide ( f ) cissoid
Klafter (f) fathom; cord or line (of
wood)Klammer (f) parenthesis; brace,
bracketKlammerausdruck (m) expression in
parentheses, braces, or brackets
Klammerbildung ( f ) formation of
parenthesesKlammergrosse ( f ) expression in
parenthesesKlammerprodukt (n) product of
expressions in parentheses
Klammerzeichen (n) quantifier
Klang (m) sound, tone
Klangbil d (n) acoustic pattern
Klangempf indung ( f ) sound percep-
tion
Klangfiille ( f ) sound volumeklanggetreu (a) high-fidelity
Klangi ntensitatsbereich (m) dynamicrange of sound
59
klappen (vt) revolve, rotate, turn
Klappung (f) revolving, turning
Klasse ( f ) class
Klassenbreite ( f ) class interval
Klasseneinheit ( f) class unit
Klassenein teilung ( f ) partition into
classes
Klassenende (n) class limit
Klassenfunktion ( f ) class functionKlassengross e ( f ) class interval
Klassenhaufigkeit ( f ) class frequencyKlassenk al kill (m) calculus of classes
Klassenkubik ( f ) class cubic (curve)Klassenkurve (f) curve as a tangent con-
struct, class curveKlassenmitte (f), Kl assenpunkt (m)
class midpoint or markKlassenquartik ( f ) class quartic (curve)Klassenreprasentant (m) class repre-
sentativeKlassensingularitat ( f ) class or line
singul ar ity
Klassensumme (f) class sumKlassenz ahl (f) class numberKlassifikation (f) classification
klassifizieren (vt) classify
Klassifizierung ( f ) classification
Kleeblattschlinge (f) boundary curve of
a Mobius strip
klein ( a) smallkleiner (a) less (than), smallerKleinbau (m), Kleingefiige (n) struc-
ture in the small, microstructureKleinheit (f) smallnessKleinkreis (m) small circle (on sphere)
Kleins teigenschaft (f) minimum prop-erty
Kleinstgeschwindigkeit (f) minimumspeed
Kleinstmass (n) minimum limit
Kleins trukt ur (f) structure in the small,
m icrostr uctur e
Kleins twert (m) minimum valueKlemme (f) clampKlemmebene ( f ) pinch planeklemmen (vt) clamp, pinchKlemmpunkt (m) pinph point
Klinoachse (f) clino diagonal axis, clino
axis
klinodiagonal (a) clinodiagonalKlinodiagonale ( f ) clinodiagonal axis,
clinoaxisKlinodom a (n) clinodomeKlinograph (m) clinograph
Klinopinakoid (n) clinopinacoidKlinoprisma (n) clinoprismKlinopyr amide (f) clinopyramidKlothoide (f)- spiral of Cornu,
clothoidKnick (m) sharp bend, salient
knick en (vt, vi) bend sharply;
fold
Knickpu nkt (m) corner or salient
point
Knickpu nktskur ve ( f ) curve-locusof s alient points
Kno te n (m) knot; (astr.) nodeKnotenkegels chni tt (m) nodal conicKnotenlinie (f) nodal line
Knotenpaar (n) node-coupleKnotenpunkt (m) node (of a curve)
kno tig (a) nodal, nodularkoaxial (a) coaxial, coaxalKochleoide (f) cochleoidKodenummer (f) code numberKoef f zi ent (m) coefficientKoeffizientenbereich (m) coeffi-
cient domainKoeffizientenbestimmung (f) deter-
mination of coefficients
Koeffizientendeterminan te (f) de-
terminant of the coefficients
Koeffizientendichte ( f ) coefficient
density
Koeffizientenmatrix ( f ) matrix of
the coefficients
Koeffizientensystem (n) system of
coeffici ents
Koeffizientenvergleichung ( f ) com-parison of coefficients
koexistent (a) coexistent
Koexistenz ( f ) coexistenceKofunktion ( f ) cofunction; comple-
mentary trigonometric function
kogredient (a) cogredientKogredienz (f) cogrediencekoharent (a) coherentKoharenz (f) coherenceKohasion (f) cohesionKohasionskraft ( f ) power of cohe-
sion
Kohasionsvermogen (n) cohesiveness
Kohlenspitzenkurve ( f ) bullet-nose
curvekohomolog (a) cohomologous.
k. Null: homologous to zero
koinzident (a) coincident
Koinzidenzpunkt (m) point of coin-
cidence
60
Koinzidenz ( f ) coincidencekoinzidier en (vi) coincidekollektiv (a) collective
Kollekti v (n) collective
Kollektivgegenstand (m) statistical
universeKollekti vmasslehre ( f ) theory of statis-
tical variables
Kollekti vreihe ( f ) statistical series
kollinear (a) collineatoryKollinearitat ( f ) collinearity
Kollineation (f) collineationKollision ( f ) collision
Kolonne ( f ) columnKolonnenindex (m) column indexKolonnenm atrix ( f ) column matrixKombination ( f ) combinationKombinationslehr e (f) theory of com-
binations, combinatorial theoryK ombinationsmethode ( f ) method of
combinationKombinationsprinzip (n) principle of
combina tion
Kombinationsschema (n) array of com-binations
Kombinationstheorie (f) theory of com-binations, combinatorial theory
Kombina torik (f) theory of combinationkombinatorisch (a) combinatorialkombini eren (vt) combineKombinierung (f) combinationkommensurabel (a) commensurableKommensurabilitat (f) commensura bil -
ity
Kommensurabilitatsbedingung (f) con-dition for commensurability
Kommunik ation (f) communicationKommunication (f) communicationKommutabilitat (f) commutabilitykom muta ti v (a) commutativeKommutativgese tz (n) commutative lawKommutati vitat (f) commu tativity
Kommutator (m) commutatorKommutatorgruppe ( f ) commutator groupKommutatoruntergruppe ( f ) commutator
subgroupkommutierbar (a) commutableKommutierbarkeit ( f ) commutabilitykompakt (a) compact.
k . im kl einen: locally compactKompaktigkeit ( f ) compactnessKompass (m) mariner's compass; range,
scopeKompass ablesung ( f ) compass reading
Kompasskorper (m) localized vectorgroup or system, fixed vectorconfiguration
Kompassna del (f) compass or mag-netic needle
Kompasspeilung (f) compass bearingKompassrose ( f ) compass card or rose
Kornpass-strich (m) compass pointKompasszeiger (m) compass needlekompatibel (a) compatibleKompatibilitat ( f ) compatibilityKompens ation (f) compensationKompensationspendel (n) compen-
sation pen du lumkompensieren (vt) compensateKompensierung ( f ) compensationkomplanar (a) coplanarKomplanation (f) complanationKompl ement (n) complementkomplementar (a) complementaryKomple me ntarmenge ( f) complemen-
tary set
Kompl em enta rmodul (m) comple-mentary modulus
Komplementarwinkel (m) comple-mentary an gle
Komplex (m) complexkompl ex (a) complexKomplexbereich (m) complex do-
mainkomplex -dual (a) complex-dualKomplexebene (f) complex plane
Kompl ex f la (she ( f ) complex surface
Komplexfunktion ( f ) complex func-
tion
Komplexion (n) complexion (of
elements)Komplexkegel (m) complex coneKompl ex koordinaten (fpl) complex
coordinatesKomplexkurve (f) complex curve
Komplexteiler (m) complex divi-
sor, complex factor
Komponente (f) componentKomponentenideal (n) component
ideal
Komponentenzahl ( f ) number of compon ents
komponier en (vt) composeKomposition (f) compositionKompositionsfaktor (m) composition
factor
Kompositionsreihe (f) composition
series
61
Komposi tu m (n) compositekompressibel (a) compressibleKompr essibilitat (f) compressibilityKompressibilitatskoeffizient (m) coef-
ficient of compressibilityKompr ession ( f ) compressionKompr essionsdauer (f) period of com-
pressionKompr essionskurve (f) compression
curveKompressionssatz (m) ratio of com-
pression
Kompr essions volu men (n) compressionspace
komprimierb ar (a) compressibleKomprimierbarkei t (f) compressibilitykomprimieren (vt) compressKonchoide ( f ) conchoidKondensation ( f ) condensationKondensationspunkt (m) condensation
pointKonfigur ation (f) configurationKonfigurationsanderung ( f ) change of
configurationKonfigurationseigenschaft ( f ) configu-
ration propertykonfinal (a) confinalKonfinalitat ( f ) confinalitykonfokal (a) confocalkonform (a) conformal, equiangularkongruent (a) congruentKongruenz ( f ) congruenceKongruenz ensys tern (n) congruence sys-
temKongruenzsatz (m) congruence theoremkonisch (a) conic, conicalKonizitat (f) conicitykonjugiert (a) conjugateKonjugierte ( f ) conjugatekonjugiert - Komplex (m) conj ugate- com
plex ( quantity)Konjunktion (f) conjunctionKonjunktionsglied (n) partial conjunc-
tion, conjunctkonjunktiy (a) conjunctivekonka v (a) concaveKonka vitat ( f ) concavitykonka v- konvex (a) concavo-convexKonka vlins e (f) concave lens
Konka vspiegel (m) concave mirrorKonoid (n) conoidkonstant (a) constantKonstantdehnung (f) constant expansionKonstante (f) constant
Konstantenmatrix ( f ) matrix of the
constants
Konstanz (f) constancyKonstituent (m) constituent
konstruierbar (a) constru ctible
Konstruierbarkeit (f) constructibil -
ity
konstruieren (vt) construct
Konstruktion ( f ) construction
Kontakt (m) contactKontaktf lache (f) contact surface
,
area of contactKontaktpunkt (m) point of contactKontingentkoef fizient (m) coeffi-
cient of contingencyKontingenz ( f ) contingencyKontingenzmass (n) coefficient or
measure of contingencyKon tingenz tafel (f) contingency
table
Kontingenz winkel (m) angle of con-tingence
Kontinuante (f) continuantkontinuier lich (a) continuousKon tinuita t (f) continuity
Kontinuitatsaxiom (m) axiom of
continuityKontinuitatsbeweis (m) proof of
continuityKontinuitatsgleichung (f) equation
of continuityKontinuita tsprinzip (n) principle
of continuityKontinuum (n) continuumKontinuumhypothese ( f ) continuum
hypothes is
Kontinuumproblem (n) continuumprobl em
kontinuum viel (a) of the power of
the continuumkontradiktorisch (a) contradictorykontr agre dient (a) contr agred.ient
K 6 n t r a g re dI enz (f) contragr edienceKontraktion (f) contractionKontraktionsbeiwert (m), Kontr ak-
tionskoeffizient (m) coeffi-
cient of contractionkontrar (a) contrary
kontra variant (a) contra variant
Kontra variante ( f ) contra variant
Kontra varianz (f) contr a variance
Kontrollapparat (m) control appara-tus
Kontrolle (f) check, control
62
Kontrollfrage ( f ) check questionkontrollieren (vt) check, controlKontrollmethode (f) checking methodKontrollnummer (f) code or key num-
ber
Konus (m) coneKonus winkel (m) cone angleKon vention (f) conventionkon ventionell (a) conventionalkon vergent (a) convergentKon vergenz (f) convergence.
K. im Mittel: convergence in the
mean, mean convergenceKonvergenzbedingung (f) condition for
con vergenceKon vergenzfaktor (m) convergence fac-
tor
Konvergenzinterval l (n) interval of
con vergenceKon vergenzkreis (m) circle of conver-
genceKon ver genzkriterium (n) test for con-
vergenceKonvergenznachweis (m) proof of con-
vergenceKonvergenzprinzip (n) convergence prin-
ciple
Konvergenzpunkt (m) point of conver-gence
Konvergenzradius (m) radius of con-vergence
Kon vergenzsa tz (m) convergence theo-rem
Kon vergenzschwierigkei't (f) convergencedifficulty
Konvergenzverhaltnis (n) convergenceratio or relation
Kon vergenzw inkel (m) angle of conver-gence
konvergieren (vi) convergekon vex (a) convexKon vexitat (f) convexitykon vex- konkav (a) convexo-concaveKonvexlinse . (f) convex lens
Kon vexspiegel (m) convex reflector or
m irror
Konzentration (f) concentrationKonzentrationsbereich (m) range of con-
centrationKonzentrations gefalle (n) concentration
gradientKonzentrationsverhaltnis (n) ratio of
concentrationkonzentrieren (vt) concentrate; (vi) be
concentrated, become intensified
konzentrisch (a) concentricKonzentrizitat (f) concentricitykonzyklisch (a) concyclicKoordinate ( f ) coordinate; vector
componentKoordinatenachse ( f ) axis of co-
ordinates, coordinate axis
Koordinatenanderung (f) change of
coordinatesKoordinatenanfang (m) origin of
coordinatesKoordinatenbeziehung ( f ) coordi.-
nate interrelationshipKoordinatendreibein (n), Koordinaten
dreikant (n) coordinate trihed-
ral
Koordinatendreieck (n) triangle of
referenceKoordinatenebene ( f ) coordinate
planeKoordina tengeometrie ( f ) coordi-
nate geometryKoordinateninvarianz ( f ) invari-
ance of coordinatesKoordinatenlinie ( f ) coordinate line
Koordinatenmethode (f) coordinatemethod
Koordinatennetz (n) coordinateframe, net of coordinates; mapgrid
Koordina tennullpunkt (m) origin of
coordinatesKoordinatenpapier (n) cross-section
paper, graph or ruled paperKoordinatenprinzip (n) coordinate
principle
Koordina tenraum (m) coordinatesp ace
Koordinatenrichtung (f) direction
of coordinate axis
Koordina tens eite ( f ) side of triangle
of referenceKoordinatenseitengleichung (f) equa-
tion of side of coordinate tri-
angleKoordinatensystem (n) coordinate
systemKoordinatentransformation ( f ) trans-
formation of coordinates
Koordin atentransformationsformel (f)
formula of transformation of co-
ordinatesKoordinatenursprung (m) origin of
coordinates
63
Koordinatenvektor (m) coordinate vec-tor
Koordinatenverhaltnis (n) coordinateratio
Koordinatenwahl (f) choice of coordi-n ates
Koordination ( f ) coordinationKoordinationsgitter . (n) coordinate lat-
tice or net
koordinieren (vt) coordinateKoordinierung (f) coordinationKopf ( m) head.
K. oder Schrift, K. oder Wappen:h ead(s) or tail( s)
Kopfrechnen (n) mental arithmetickop 1 anar (a) coplanarKoresidualgruppe ( f ) coresidual groupkoppeln ( vt) coupleKoppl un g (f) couplingKor oil ar (n) corollary
Kor per (m) body, solid; manifold;domain, field
Korperadjunktion ( f ) field adjunctionKorperdiagonal e ( f ) body diagonalKorperdiskriminante (f) field discrimi-
nantKo rperelement ( n) field elementKorper er weit er ung (f) field extensionKor pergrad (m) field degreeKorperinhaltsberechnung ( f ) cubature
of a solid
Korper kons tant e (f) body constantkorperlich (a) solid
Kor perm ass (n) cubical or solid measureKorpernetz (n) development of a solid
Korperober fl ache ( f ) surface (area) of
a body or solid
Korperstr ahl (m) corpuscular ray
Kor pers tiic k (n) piece of a solid
Korperstumpf (m) prismatoid, prismoidKorperwinkel (m) solid anglekorr ekt (a) correctKorrek thei t (f) correctnessKor rek tion ( f ) correctionKorrek tions-f a ktor (m) correction factor
Korrek tionsli ns e (f) correcting lens
Korrektur (f) correctionKorrek turglied (n) correction termKorrel ate (f) coefficient of correlation,
Gauss's correlateKorrelatenausgleichung (f) adjustment
of correlation, correlate adjustmentKorrel at engleichung ( f ) correlate
equation
Korrelatenverfahren (n) method of
correlates
Korrel ation (f) correlationKorrelationsflache (f) correlation
or frequency surfaceKorrelationsgleichung ( f ) correla-
tion equationKorrel at ionsindex (m)
corr el ation
Korrelationskoeffizientlation coefficient
Korrel ationstabel le ( f
)
table
Korrel at ions theorie ( f
)
theoryKorrelationsverhaltnis
index of
( m) corre-
correlation
correl ation
( n) correla-tion ratio
Korrelationsziffer ( f ) coefficientof linear correlation
korrelativ (a) correlativekorr elieren (vt) correlatekorreliert (a) correlatedKorres pondenz (f) correspondenceKorrespondenzprinzi p ( n) corres-
pondence principlekorr espondieren (vi) correspondkorrespondierend (a) corresponding,,
corr es pondentkorr igieren (vt) correctKosekans (m) cosecantKos ek anskur ve , Kosekanslinie ( f
)
cosecant curveKosekante ( f ) cosecantKosekantenkurve, Kosek antenlinie ( f
)
cosecant curvekosingular (a) cosingularKosinus (m) cosineKosinuskreis (m) cosine circle
(f)Kosinusliniesinusoid
Kosinusoide (f)
cosine curve, co-
= Kosinu slinie
Kosinuspunkt (m) cosine point
Kosinusr eihe ( f ) cosine series
Kos inuss a tz (m) cosine law
Kosinustafel ( f ) table of cosines
Kosinus versus (m) coversed sine,
coversinekosmisch (a) cosmicKos mogonie (f) cosmogonyKosmologie (f) cosmologyKosmos (m) cosmosKotangens (m) cotangentKotangenslinie ( f ) cotangent curve
Kotangente (f) cotangent
64
Kotangentenkurve,Kotangentenlinie (f)
cotangent curveKotangentenreihe ( f ) cotangent series
Kotangentensatz (m) cotangent lawKote (f) spot height (on map); z-co-
ordinatekotieren (vt) index a map with spot
height or altitude numberskovariant (a) covariantKovariante (f) covariantKovarianz ( f ) co varianceKovariation ( f ) covariationKraft (f) force; energy, powerKraftanteil (m) force componentKraftarm (m) force arm (of a lever)
Kra ftbez iehung ( f ) force or dynamicrelation
Kraftdruck (m) dynamic pressureKraf teaus gleich (m) force equilibriumKra ftebene ( f ) plane of forces
Kra fteck (n) polygon of forces
Kraftediagramm (n) diagram of forces
Kraftedr eieck (n) triangle of forces
Kraftefeld (n) force field
kraf tefrei (a) force-freeKraf tefunk tion ( f ) force functionKraftegleichgewicht (n) equilibrium of
forces
Krafteinheit ( f ) unit of forceKra fte - Komplex (m) complex of forces
Kraftekomponente ( f ) force compo-nent
Kraftelehr e (f) dynamicsKraftepaar (n) force coupleKraftepaar- Komplex (m) complex of
force couplesKra fteparallelo gram (n) parallelogram
of forces
Krafteplan (m) force polygon, diagramof forces
Kra ftepoly gon (n) = KrafteplanKraftesy stem (n) system of forces
Kraftezerl egung (f) decomposition of
forces
Kraftezusammensetzung ( f ) compositionof for ces
Kraftfeld (n) field of force
Kra ftf luss (m) flux of force
Kraftfunktion (f) force or power func-tion
Kraftgleichung ( f ) force equationKra ftgramm (n) force gramkraftig (a) powerful, strongKraftkomponente ( f ) component force
Kraftlehre ( f ) dynamicsKraftlinie ( f ) line of forceKraftmoment (n) moment of force,
turning mom en t
Kraftlinienbundel (n), Kraftlinien-
rohre (f) tube of lines of force
Kraftpol ygon (n) polygon of forces,
force polygonKraftpot ential (n) force potential
Kraftrichtung ( f ) direction or sense
of for ce
Kraftrohre ( f ) tube of force, powertube
Kraf tilbertragung ( f ) power transmis-
sion
Kraftvektor (m) force vector
Kraftwir kung ( f.) action of force
Kraftzentrum (n) center of force
Kraftzerlegung ( f ) decompositionof a force
Krankenversicherung (f) health in-
suranceKreis (m) circle; cycle (of Riemann
surface); (elec.) circuit
Kreisabschnitt (m) segment of a
circle
Kreisausschnitt (m) sector of a
circle
Kreisbahn (f) circular orbit or path
Kreisbahndurchmesser ( m) diameterof a circular orbit
Kreisbewegung ( f ) circular motionKreisbogen (m) circular arc
Kreisbogenpolygon (n) polygon com-posed of circular arcs
Kreisbiindel (n) bundle or sheaf of
circles
Kreisbiischel (n) pencil of circles
Kreisdiagramm (n) circular diagramor graph, pie chart
Kreisdrehung (f) rotation, revolu-
tion
Kreisdurchmess er (m) diameter of
a circle
Kreisebene ( f ) plane of a circle
Kreiseinteilung ( f ) circular gradu-
ation
Kreisel (m) spinning top, gyroscope,
gyro
Kreiselachse ( f ) axis of a top, gyro-
axis
Kreiselbewegung (f) gyroscopic mo-tion, gyration
Kreiselkompass (m) gyrocompass
65
Kreiselkraft (f) gyroscopic force
kreiselmagnetisch (a) gy romagneticKreiselmoment (n) gyroscopic or turn-
ing force
Kreiselp endel (n) gyro- p endu lumKreiselschwerpunkt (m) gyrocenterKreiselschwingung (f) gy ro -oscill ation
kreisen (vi) circle, circulate, revolve,rotate, kreisender Korper:rotating body
Kreise vol vente ( f ) involute of circle
Kreisflache (f) circular area
Kreisform (f) circularity
kreisformig (a) circular
Kreisfrequenz (f) angular velocity,
rotational frequencyKr eisfun ktion ( f ) circular or trigono-
metric functionKreisgeorri etrie ( f ) circle geometryKreisgleichu ng ( f ) equation of a circle
Kreish albmesser (m) radius of a circle
Kreisinh al t (m) area of a circle
Kreisint egral (n) circular integral
Kreisin version (f) circular inversion
Kr eiskegel (m) circular coneKreiskonchoide ( f ) conchoid of a circle
Kreiskoordinaten ( fp 1 ) circular coordi-nates
Kreiskorper (m) cyclotomic field
Kreisl auf (m) circular course; cyclekreislaufig (a) circular
Kr eislinie ( f ) circular line, circum-ference, circle
Kreismessung (f) cyclometryKreismittelpunkt (m) center of a circle
Kreisoff nung ( f ) circular apertureKreispendel (n) circular pendulumKreisp er ipherie ( f ) circumference or
periphery of a circle
Kreispolarisation, Kreispolarisierung (f)
circular polarizationkreispol arisiert (a) circularly polarizedKreisprozess (m) cyclic processKreispunkt (m) point of a circle; cir-
cular point (of surface)
Kreispunktasymptote ( f ) focoidal asymp-tote, one of a pair of asymptotesto the circular points at oo
Kreisquadrant (m) quadrant of a circle
Kreisrechenschieber (m) circular slide
ru le
Kreisring (m) circular ring, annuluskreisrund (a) circularKreisschar ( f ) family of circles
Kreisscheibe ( f ) circular disk
Kreisschnit t (m) circular sectionKreiss egment (n) segment of a circleKreiss ektor (m) sector of a circle
Kreiss ys tern (n) system of circles
Kreisteilun g (f) cyclotomyKreistei lungs gleichung (f) cycloto-
mic equationKreistei lungs korper (m) cyclotomic
field
Kreistei lungs polynom (n) cyclotomicpolynomial
Kreisumf ang (m) perimeter or circum-ference of a circle
Kreisumlauf (m) circulationKreisverwandtschaft (f) transfor-
mation which changes circles intocircles
Kreisviereck (n) quadrilateral in-
scribed in a circle
Kreis viertel (n) quadrant of a circle
Kreiszweieck (n) circular luneKreiszylinder (m) circular cylinderKreuz ( n) cross
kreuzen ( vt, recip.) cross, intersect
kreuzformig (a) cruciformKreuzgitter (n) crosswise lattice
Kreuzhaube ( f ) cross-cap surface,
closed Mobius bandKreuzhaub en korper (m) non-orient-
able or Mobius manifoldKreuz kurve (f) cross curveKreuzplan (m) cross-over design
Kreuzriss (m) side view, profile
Kreuzrissebene ( f ) profile planeKr euzung (f) intersection, crossing
Kreuzu ngspunkt (m) crossing point
kreuzweise (a) crosswise
Kristall (m) crystal
Kris tallachse ( f ) axis of a crystal
Kris tallanalyse ( f ) crystal analysis
kristallartig (a) crystalline
Kristallatom ( n) atom of a crystal
Kristallaufbau (m) crystal struc-
ture
Kristallber eich (m) crystal regionKristallbeschreibung (f) crystallo-
graphyKris tallbildung ( f ) crystal forma-
tion
Kristallbloc k (m) crystal blockKris talldicke ( f ) crystal thickness
Kris talldruse ( f ) cluster of crystals
Kristallebene ( f ) crys t allographic
plane
66
Kris tallendflache ( f ) terminal face of a
crystal
Kristallflache (f) face or facet of a
crys tal
Kristallform ( f ) crystal formKris tallgitter (n) crystal or space lat-
tice, crystal gratingKris tallgrupp e (f) crystal groupKristallhauptschnitt (m) principal sec-
tion of a cry sta 1
kristallin (a) crystalline
Kristallindividuum (n) individual crys-
tal
kris tallinisch (a) crystalline, crystalli-
formKris ta llisation
, Kristallisierung (f)
crys ta lliza tion
kris tallisierbar (a) crystallizablekris tallisieren (vt, vi) crystallizeKristallkante (f) crystal edgeKris tallklasse (f) crystal class
Kristallkunde (f) crystallographyKris tallmessung (f) cr y stallom etr y
Kristalloberflache (f) surface of a crys-
tal
Kris tallogr aphie (f) crystallographykristallographisch (a) crystal lographicKris tallometrie ( f ) crystall ometr y
kris tallometrisch (a) cry staliom etric
Kris talloptik ( f ) crystal optics
Kris tallrichtung (f) crystal orientationKris tallschicht ( f ) crystal layerKris tails chwingung ( f ) crystal vibration
or oscill ationKris tallspektrum (n) crystal spectrumKristallstab (m) crystal bar
Kris tallstruktur (f) crystal structure
Kris ta lis ymmetrie (f) crystal symmetryKris tails ystem (n) system of crystalli-
zation, crystal systemKristallwachstum (n) crystal growthKris ta 11 w in kel (m) crystal angleKristallwinkelmessung (f) crystal goniom
e tr v
Kris tallzon e ( f ) crystal zoneKris tallz willing (m) twin crystal
Kriterium (n) criterion, test
kritisch (a) critical.
kritischer Punkt: critical point (of
a curve, a function, a substance)krumm (a) curved; bent, twistedkrummen (vt, vr) bend, windkrummflachig (a) having curved surfacekrummlinig (a) curvilinear
Krummstab (m) lituus
Kru mmung (f) curvatureKriimmungsachse (f) axis of curva-
ture
Kriimmungsebene (f) osculatingplane
Kriimmungs element (n) curvatureelem ent
Krummung sform ( f) expression for
curvatureKriimmungshalbmesser (m) radius
of curvatureKrummungsintegr al ( n) curvature
integral
Kriimmu ngskegel (m) osculating coneKrummungskr eis (m) circle of cur-
vature, osculating circle
Kriimmungskurve (f), Krummungsli-nie (f) line of curvature (of a
surface)
Krummungslinienparameter (m)parameter of the lines of curva-ture
Krummungsmass (n) Gauss' measureof cur va tu r
e
Krummungsmesser (m) curvometerKru mm un gsmittelpunkt (m) center of
curvatureKriimmun gsmittelpunktkurve (f),
Kriimmungsmittelpunktslinie ( f
)
locus of centers of curvature,
e volu t e
Krummungsparameter (m) curvature
parameterKrummungsradius ( m) radius of
curvatureKrummungsrichtung ( f ) curvature
directionKrummungsskalar (m) curvature
scalar
Krummungsstreifen (m) curvature
strip
Krummungstensor (m) curvature ten-
sor
Krummungsverhaltnis (n) curvature
ratio
Krummungsvektor (m) curvature
vectorKriimmungswinkel (m) angle of con-
tingenceKubatur ( f ) cubature, cubing
kubier en (vt) raise to the third
power, cubeKubierung ( f ) raising to the third
power, cubing, cubature (of a solid)
67
Kubierungs formel (f) cubing formulaKubik ( f) cubic (curve, equation)Kubikberechnung (f) cubatureKubikdezimeter (n) cubic decimeterKubikflache (f) cubic surfaceKubikfuss (m) cubic foot
Kubikinhalt (m) cubic contents or ca-pacity, volume
Kubikinhaltsberechnung ( f ) cubatureKub ikmass (n) cubic measureKubikmeter (n) cubic meterKubik wurz el ( f ) cube root
Kubik wurz elaus Ziehen (n), Kubikwurz el
ausz iehung (f) extraction of cuberoot
Kubikzahl ( f ) cube of a number, cubicnumber
Kubikzentimeter (n) cubic centimeterKubikzoll (m) cubic inchkubisch (a) cubic, cubicalKubus
,(m) cube, hexahedron; cube,
third power (of a number)Kubus verdopplung (f) duplication of the
cubeKugel ( f ) sphere; ball, globeKugel abschnitt (m) spherical segmentKugel ausschnitt (m) spherical sector
Kugelbundel (n) bundle or sheaf of
spheresKugelbiischel (n) pencil of spheresKugelch en (n) globule, spheruleKugeldreieck (n) spherical triangle
Kugel en veloppe ( f ) spherical envelopeKugelflache (f) spherical surface, area
of sphereKugelform ( f ) ball shape, sphericity
kugelformig (a) sphere -shaped, globular,
sphericalKugelfunktion (f) spherical or harmonic
function, spherical harmonicKugelgeometrie ( f ) spherical geometryKugelgestalt ( f ) ball shape, sphericityKugelhaube (f) spherical capKugelhaufen (m) pile of spherical shot;
(astr.) globular cluster
kugelig (a) sphere-shaped, globular,
sphericalKugelinnere (n) interior of the sphereKugelinversion ( f ) spherical inversion
Kugelkalot te ( f ) , Kugelkappe ( f
)
spherical capKugel keil (m) spherical wedge or ungulaKugelkomplex (m) sphere complexKugelkoordinate ( f ) spherical coordinate
Kugellehre (f) sphericsKugelmutze (f) spherical capKugelnetz ( n) network of spheresKugeloberf lache (f) surface of
sphere, area of a sphereKugeloktant (m) octant of a sphereKugelpendel ( n) spherical pendulumKugelraum (m) spherical spaceKugelschale (f) spherical shell
Kugelschar (f) family of spheresKugelschicht ( f ) spherical segment
of two b as es
Kugels egm ent (n) spherical seg-
ment of one baseKugelsektor (m) spherical sector
Kugelsymmetrie (f) spherical sym-metry
kugelsymmetrisch (a) sphero-sym-metric
Kugel verwandtschaft (f) transforma-tion which changes spheres into
spheresKugelwelle (f) spherical wave; one
of a family of concentric spheres
Kugel winkel (m) spherical angleKugelzone ( f ) spherical zoneKugelzw eieck (n) spherical luneKulmina tion (f) culminationKulminationshohe ( f ) altitude of
culminationKulmina tionspunkt (m) culminating
pointkulminieren (vi) culminateKul minierung ( f ) culminationKulpschekonchoide (f) Kiilp's
conchoidKumulation (f) accumulationk u n s 1 1 ilTh (a) artificial.
kiinstliche Logarithmen: Briggs
or common logarithmsKurskreisel (m) gyrocompassKurve ( f ) curveKurvenachse ( f ) axis of a curveKur venanpassung (f) curve fitting
Kur venast (m) branch of a curveKur venbahn (f) curved path
Kurvenbild (n) graph
Kurvenbogen (m) arc of a curveKurvenbiindel (n) bundle or sheaf
of curvesKurvenbuschel (n) pencil of curves
Kurvendarstellung (f) curve tracing
Kurvendiskussion ( f ) curve discus-
sion
68
Kurvendreieck (n) curvilinear triangleKurvenelement (n) curve elementKur venerzeugung ( f ) generation or con-
struction of curvesKurvenfamilie (f) family of curvesKurvenfl ache ( f ) area under the curveKur venfolge (f) series of curvesKur venform (f) form of curve, form of
equation of curveKur venglattung ( f ) curve smoothingKurvengleichung (f) equation of a curveKurvenin tegral (n) curvilinear integralKur veninvariante (f) curve invariantKurvenkongruenz ( f ) congruence of
curvesKur venlehr e (f) theory of curves; curve
gaugeKur venlineal (n) curved ruler
Kur venlinie (f) curved lineKur venm esser (m) curvometerKur vennetz (n) net of curvesKurvenpaar (n) pair of curvesKur venp apier (n) graph paperKur venpoly gon (n) curvilinear polygonKur venpun kt ( m) point of a curveKur venrechteck (n) curvilinear rectangleKurvenschar ( f ) family of curvesKur venschiefe ( f ) curve skewness, allo-
kurtosis (of frequency curve)Kur venstiick (n) segment of a curveKurvensy stem (n) system of curvesKur ventheorie ( f ) curve theoryK
u
rvenverlauf (m) course of a curveKur venviel eck (n) curvilinear polygonKurvenvier eck (n) curvilinear quadri-
lateral
Kurvenzerlegung (f) analysis of a timeseries
Kur venzug (m) part of a curve, curvi-linear path or circuit
Kur venz weig (m) branch of a curvekurz (a) short
Kiirze ( f ) shortness, der Kurze halber :
for brevitykurzen (vt) shorten; reduce (a frac-
tion)
Kur zung ( f ) shortening; reduction (of
a fraction)
Kurzwelle (f) short wavekurz wellig (a) short wave
labil (a) unstable, labileLabilitat (f) instability, lability
Labilitatszustand (m) state of in-stability or ^ability
lacunar (a) lacunal, lacunarladen (vt) load, chargeLadung (f) charge, loadL adungsdichte (f) density of chargeLadungsf ahigkeit ( f ) cubic capacity;
tonnageLage (f) location, positionLagebestimmung (f) determination
of positionL agebez iehun g ( f ) relation of posi-
tion, topological relation
Lagekoordinaten (fpl) positioncoo rdina tes
lagemassig (a) positional
Lagen anderung ( f ) change of posi-
tion
lagenrichtig (a) positionally correctLageregel ( f ) position rule
Lambda (n) Greek letter lambda( A, X)
lamellar (a) lamellar, laminatedLamelle ( f ) lamella, laminalamell enformig (a) lamellar, lamel-
liform1 am el lier en (vt) laminateLaminierung (f) laminationLandesaufnahme (f), Lan des verm es-
sung ( f ) geodetic or land sur-
veyLand karte (f ) mapLandkartenkunde (f) cartographyLandmass (n) surveyor's measureLandmesser (.m) surveyorLandmessung ( f ) land surveyinglang (a) long
Lange (f) length; (astr., geog.)
longitudeLangenabweichung (f) longitudinal
deviationLangenausdehnung ( f ) linear dimen-
sion; elongation, linear expan-sion
L angenaus dehnungs koef f izient (m) co-
efficient of linear expansion
Langenberechnung ( f ) linear measure'
ment or computationLangendichte (f) linear density
Lange ndimension (f) linear dimen-sion
Langendurchschnitt (m) longitudi-
nal section
Langeneinheit (f) unit of length
69
Langeneinteilung ( f ) length graduationLangenfehler (m) longitudinal error
Langengrad (m) degree of longitudeLangenkreis (m) circle of longitude,
meridianL angenmass (n) linear measureL angenm essung (f) linear measurement;
(geog.) measurement of longitudeL a n genmetazentrum (n) longitudinal
m etacenterLangenprofil (n), Langenquerschnitt (m)
longitudinal section
L angenrich tung (f) longitudinal direc-
tion
langentreu (a) equidistant, length-pre-serving
L angentr eue ( f) preservation of lengthL an genii bertragung (f) length transfe-
renceLangenunterschied (m) difference in
length; difference in longitudelanglich (a) elongated, oblonglanglichru nd (a) oval
Langsachse (f) longitudinal axis
L angsans icht (f), Langsau friss (m)longitudinal view
Langsausdehnung (f) linear dimension;elongation, linear expansion
Langsbeanspruchung (f) longitudinalstress
Langsbewegung ( f ) longitudinal move-ment
Langsdehnung (f) longitudinal strain or
stretch
Langsdil at ation ( f ) longitudinal dila-
tion
Langsdoma (n) brachydomeLangsdruck (m) longitudinal pressure
L angsf eld (n) longitudinal field
Langs kraf t ( f ) longitudinal force
L angsprofi 1 (n) longitudinal profile
Langsrichtung (f) longitudinal directionL angsschnitt (m) longitudinal sectionLangssch wingung (f) longitudinal os-
cillation or vibrationLangsspannung (f) longitudinal tension
Langssteife ( f ) longitudinal rigidity
Langstwelle (f) m aximu m - length waveLangsvergrosserung (f) longitudinal
magnificationLangsverschiebung ( f ) longitudinal dis-
placementLangswelle (f) longitudinal waveLangswellenbereich (m) long-wave range
langwellig (a) long-waveLastarm (m) lever arm to which
load is appliedLauediagramm (n) Laue diffrac-
tion patternL auefleck (m) Laue spot
Lauf (m) course, run
laufen (vi) run; revolve (about a
center)
Laufer (m) cursor (of slide rule)
Laufrichtung ( f ) direction of pro-gress
Lauf w eg (m) path of movementLaufzeit ( f ) running timeLebensdauer (f) life spanLebenserwartung (f) life expectancyLebensrente ( f ) life annuityL ebens vers icherung ( f ) life insur-
anceLe bensversicherungspolice (f) life
insurance policyLebens w ahrscheinlichk eit (f) life
expectancyleer (a) empty, null, voidLeere ( f ) emptiness, voidLeerheit (f) emptinessLeerstelle ( f ) argument place (of
a functional symbol)legen ( vt) lay, place; pass
Lege verf ahren (n) hand sorting
Lehrdorn (m) internal- caliper gaugeLehre ( f ) doctrine, theory
Lehre ( f ) gaugeLehrenablesung ( f ) gauge readingLehrentoleranz ( f ) gauge toleranceLehrmutter ( f ) receiving or tem-
plate gaugeLehrsatz (m) proposition, theorem,
thesis
Leibrente (f) life annuityLeis tung ( f ) output, performance;
powerL eis tungabgabe ( f ) power outputLeistungsaufnahme (f) power con-
sumptionLeis tungsbereich (m) range of
capacityLeistungsdiagramm (n) performance
chart
Leis tungseinheit (f) unit of powerLeistungsentnahme (f) energy or
power outputleistun gsfahig (a) efficient
Leistungsfahigkeit ( f ) efficiency
70
Leis tungskurve ( f ) performance curveLeistungsschaubild (n) performance
chart, power diagramLeistungsverhaltnis (n) power ratio
Leistungsvermogen (n) working capacityLeitebene (f) director planeleiten (vt) conductLetter (m) conductorLeiter ( f ) scaleL eit er tafel (f) alignment chart, nomo-
gramleitfahig (a) conducting, conductiveLeitfahigkeit ( f ) conductivityLeitflache ( f ) director surfaceLeitgebilde (n) directorLeitkegel (m) director coneLeitkr eis (m) circle-locus of intersec-
tion of focal radius of a point of
central conic and the perpendicularfrom center on tangent at that point
Leitkurve (f), Leitlinie (f) directrix
Leitstrahl (f) radius vector, focal radius
Lemniskate ( f ) lemniscateLemniskatenkoordinaten (fpl) lemniscate
coordinatesletz
t
( a) last
Libelle (f) levelLibr ationsgrenz e ( f ) libration limit
Licht (n) light
licht (a) bright, light; inside
Lichtabgabe (f) emission of light
Lichtablenkung (f) deflection of light
Lichtaquivalent (n) equivalent of light
Lichtart ( f ) kind of light, light typeLich ta ther (m) luminiferous ether
Lichtausstrahlung (f) radiation of light
Lichtbahn (f) light path.Licht bogen (m) light arc
Lichtbogenschwingung ( f ) oscillation of
light arc
Lichtbiindel (n), Lichtbiischel (n) pen-cil or beam of light
Lichtbundelachse ( f ) axis of light beamLichtdichte ( f ) light densityLich tdru ck (m) pressure of light
Lichteinfall (m) incidence of light
Lichteinheit ( f ) light unit, photometricunit
lichtelektrisch (a) photoelectricLichtelektrizitat ( f ) photoelectricityLich telem ent (n) element of light
lichtempfindlich (a) light-sensitiveLichtempfindlichkeit (f) sensitiveness
to light, photosensitivity
Lichtempfindung (f) sensation oflight
Lichterscheinung ( f ) light effect or
phenomenonLichtfleck (m) light spot
Lichtfortflanzung ( f ) propagation or
transmission of light
lichtgebend (a) light- emittingLichtgeschwindigkei t (f) velocity
of light
Lichtintensitat ( f ) light intensity
Lichtintensitatsschwankung (f) light-
intensity variation
Licht jahr (n) light yearLichtkegel (m) light coneLichtlehre ( f ) theory of light
Lichtlehr e (f) inside caliperLichtmesser (m) photometerLich tm essung (f) measurement of
light, photometryLichtpunkt (m) light point or spot
Lichtquantum (n) light quantum,photon
Lichtquelle (f) source of light
Li chtrichtung (f) light direction
Lichtschwingung (f) light oscillation
or vibrationLichtstarke ( f ) light intensity
Lichtstrahl ( f ) ray of light
Lichtstrahlenbilndel (n) beam of
light, bundle or pencil of rays
of light
Lichts trahlung (f) radiation of light
Lichtstreuun g (f) diffusion or scat-
tering of light
Lichtteilchen (n) photonLichttheorie ( f ) theory of light
Lichtverteilung ( f ) distribution of
Lichtverteilungskurve ( f ) light dis-
tribution curve, isophote
Lichtvektor (m) light vector
Lichtweg (m) light path
Lichtwegdifferenz (f) light path
differenceLichtwelle ( f ) light waveLichtwellenzug (m) light-wave train
Lichtwirkung ( f ) action of light
Lichtze rlegung ( f ) decomposition of
light
Lichtzerstreuung (f) diffusion or
dispersion or scattering of light
liegen (vi) be situated, lie
71
Limes (m) limit.
L. im Mittel (limes in medio):limit in the mean (l.i.m.)
Limesoperation ( f ) limit operationLimespunkt (m) limiting pointLimeszahl ( f ) limit numberLimeszahlargument (n) argument of
limit numberLimeszahlindex (m) limit number sub-
script
Limeszahlordnung ( f ) limit number order
Limeszahltyp (m) limit number typeLimitationsbewegung (f) limiting mo-
tion
Lineal (n) ruler, straightedgelinear (a) line, linear
Linearbeschleunigung ( f ) linear accele-ration
Linear faktor ( m) linear factorLinear form (f) linear formLinearformenmodul ( m) module of linear
formLinearfunktion ( f ) linear functionLineargeschwindigkeit (f) linear veloc-___
Linear gleichung (f) linear equationLinearitat ( f ) linearity
Linearkombination ( f ) linear combi-n ation
Linearmantel (m) linear envelopeLinearmass (n) linear measureLinearm assstab (m) linear scaleLinearperspektive ( f ) linear perspec-
tive
linearpolarisiert (a) plane- polarizedLinearschrumpfung ( f ) linear shrinkageLinearvergrosserung (f) linear magni-
fication
Lineatur ( f ) ruling (of lines)
Linie (f) line; curve, straight line
Linienabstand (m) distance of or be-tween lines
Linienanhaufung ( f ) accumulation of
lines
Linienaufspaltung (f) line splitting (in a
spectrum)Linienbezeichnung (f) designation
of lines
Linienbreite ( f ) breadth or width of
line
Liniendiagramm (n) line chart or
graphLinienelement (n) arc or line ele-
ment; point plus direction,
directed line
Linienfolge (f) series of lines
Liniengebilde (n) line configurationLiniengeom etrie (f) line geometryLiniengesetz (n) law of (spectral) lines
Linienintegral (n) line integral
Linienkomplex ( m) complex of lines,
line or linear complexLinienkong ruenz (f) line or linear con-
gruenceLinienkoor dinate ( f ) line coordi-
nateLiniennetz ( n) net(work) of lines,
grid
Linienpaar (n) pair of lines
Linienperspective ( f ) linear per-
spectiveLinienraster (m) ruled grating or
lattice
linienreich (a) having a great manylines
Linienschema (n) line chart or graphLiniensingularitat ( f ) line sin-
gularity
Linienspektrum ( n) line spectrumLinienstruktur (f) line structure
Liniensumme ( f ) linear sumLinientypus (m) type of lines
Linieniiberschneidung ( f ) intersec-
tion of lines
Linienumkehr ( f ) line reversal
Linien verlauf (m) course of the lines
Linien vers chiebun g ( f ) displacementof lines
Linienzug (m) path composed of
lines
linieren (vt) line, rule
Linierung (f) ruling
liniieren (vt) line, rule
Liniierung (f) ruling
link (T) left, left-hand
links (adv) on or to the left
Linksablenkung ( f ) deflection to the
left
Linksansicht ( f ) left-side viewLinksdrall (m) left-hand twist
linksdrehend (a) levorotatory
Linksdrehung ( f ) levorotation
linksgangig (a) left-handed, sinis-
trorse
linksgelegen (a) left, left-hand
linksgerichtet (a) left-handedLinksgewinde (n) left-handed thread
linksgewunden (a) left-handed, sinis-
trorse
72
Linksideal (n) left ideal
Linksinverse (f), Linksin verses (n) left
inverseLinkslauf (m) running left, counter-
clockwise rotation
linkslaufend (a) left-moving, counter-
clockwiseLinksmultiplikation ( f ) pre-multipli -
cationLinksmultiplikatorenbereich (m) left
multiplicative domainLinkspol arisation (f) left-handed pola-
rization
linksschief (a) right (or positive) skewLinkss chraub e (f) left-handed screwLinksschraubung (f) left or negative
turn(ing)
linkss eitig (a) left-side, left-hand,
left
linkssteil (a) = linksschief
Linkssystem (n) left-hand systemlinkswendig (a) left-handed, sinistrorse
Linse (f) lens
Linsenabweichung (f) aberration of lens
Lins enachse (f) axis of lens
Lins en fehl er ( m) lens error
linsenformig (a) lenticular, lentiformLinsenkombination (f) combination of
lens es
Lins enof fnung (f) lens aperture
Linsenscheib e (f) lenticle'
Lins enscheitel (m) lens vertex
Lipschitzbedingung ( f ) Lipschitz con-dition
Liquiduskurve (f) liquidus curve or line
Liss aj ous ( N) Liss a j oussche Bahn:
Lissajous orbit or path = Lissaj ous-
BahnLissaj ousbewegung (f) Lissajous motionLissaj ousfigur (f), Lissaj ouskurve (f)
Lissajous curve or figure
Liter (n,m) liter, litre
Lithosphare (f) lithosphereLituus (m) lituus
Loch (n) holeLochkarte (f) punch card
Lochlehre (f) internal - caliper or plug
gaugeLochscheibe (f) perforated disk
Lochung ( f ) perforation
Loganthmand (m) antilogarithmLogarithmenpapier (n) logarithmic
coordinate paperLogarithmensystem (n) logarithmic
system
Logarithmentaf el ( f ) logarithm or
logarithmic table
logarithmieren (vt) take logarithmsLogarithmierung (f) taking loga-
rithmslogari thmisch (a) logarithmicLogarithmus (m) logarithmLogik ( f ) logic
Logiker (m) logicianLogikkalkiil (m) logical calculus,
mathematical or symbolic logic,
logistic
logisch (a) logicalLogistik (f) = Logikkalkiil
Lokalisation ( f ) localizationlokalisieren (vt) localizelokalisiert (a) localizedLokalisierung ( f ) localization
lokalzusammenhangend (a) locally
connectedlongitudinal (a) longitudinal
Longitudinale (f) catenary of uni-
form strength
Longitudinalitat (f) longitu dinality
Longitudinalschwingung ( f ) longi-
tudinal vibration
Longitudinal welle ( f ) longitudinal
waveLoran ( n) loran
Lorentzkontraktion ( f ) Lorentz con'
traction
Lorentzkon vention (f) Lorentz con
(f) curve of equal dis-
ventionLorenzkur ve
tribution, Lorenz curvelosbar (a) soluble, solvable
Losbarkeit ( f ) solvability
losen (vt) solve; untie (a knot);
net (as rece ipts)
loslosen (vt) detach, separate
Loslosung (f) detachment, separa-
tion
Losung (f) solution
Losungensystem (n) system of solu-
tions
Losungskurve (f) required curve
Losungssystem (n) system of solu-
tions
Losungswert (m) required value,
solution
Lot (n) normal, perpendicular;
plumblotrecht (a) perpendicular, plumb,
vertical
Loxodrome ( f ) rhumb line, loxodrome
73
loxodromisch (a) loxodromicLiicke ( f ) gap, lacuna; break, discon-
tinuity
Luc kenausfullung ( f ) filling of a gapLuckenausfiillungsatz (m) gap-filling
theoremLuckenbereich (m) gap regionLuckeneleme nt ( n) gap elementLuckensatz (m) gap theoremLuckenspektrum (n) gap spectrumLiickensprung (m) gap jump, discon-
tinuityLuc kentest (m) gap test; (statist.) g a p -
and -struggler test
Ludolph ( N) Ludolphische Zahl:Ludolphian number, the number it
Lumen (n) lumenluminesz ent (a) luminescentLumineszenz ( f ) luminescencelumineszieren (vi) luminesceLux (n) meter- candle, lux
MMach ( N ) Machsche Zahl; Mach numberMachtlgkeit (f) cardinality, potency,
pow er
Machtigkeitsbeziehung (f) cardinalityrelationship
Maclaurin ( N) Maclaurinsche Reihe;Maclaurin series
magisch (a) magic.magische Gleichung: magical equa-tion: magisches Quadrat: magicsquare
Magnet (m) magnetMagnetbundel (n) compound magnetMagnetelektrizitat ( f ) magnetic elec-
tricity
Magnetfeld (n) magnetic field
Magnetinduktion (f) magnetic induc-tion
magnetisch (a) magneticm agnetisierbar (a) magnetizableMagnetisierbarkeit ( f ) m agnet izability
m agnetisieren (vt) magnetizeMagnetisierung (f) magnetizationMagnetisierungskraft (f) magnetizing
forceMagnetisierungskurve (f) magnetization
curveMagnetismus (m) magnetismMajorante (f) majorant, upper bound
(of a set)
Majoritat (f) majority
Makroachse (f) macroaxismakrodiagonal (a) macrodiagonalMakrodiagonale (f) macrodi agonal axis
Makrodoma (n) macrodomeMakrokosmos (m) macrocosmMakropinakoid (n) macropinacoidMakroprisma (n) macroprismMakropy ramide ( f ) macropyramidMakrostatistik (f) m acrosta tistics
Mai (n) time(s)mal (suffix) multiplied by, timesmalnehmen (vt) multiply (by a factor)
Malzeichen (n) multiplication sign
Mangel (m) defect, shortcomingmangelhaft (a) defective, faulty
Mangelhaftigkeit ( f ) defectiveness,deficiency
mannigf ach (adv) in many w. ays
mannigfach (a) manifold, various
m anni gf altig (a) manifold, varied
Mannigf altigkeit (f) manifold;variety
Mannigfaltigkeitsstufe (f) rank of a
manifoldMantel (.m) envelope; lateral area
(of a cone, a cylinder, a prism,
a pyramid); nappe or sheet (of
curved surface)
Man telf lache ( f ) = MantelMantellinie (f) element or generatrix
( of a ruled surface)
Mantisse (f) mantissaMantissendifferenz (f) mantissa dif-
ferencemarkieren (vt) mark, tag
Masche (f) meshMaschenweite (f) mesh widthmaschig (a) reticular
Mas chine (f) engine, machinemaschinell (a) mechanical, machineMaschinerie (f) machineryMass (n) measure; ratio, rate; gaugeMassabweichung (f) deviation from
size
Massanderung ( f ) change in dimen-sions
Massbegrif f (m) concept of measuremassbestandig (a) constant in size or
dimensionMassbestimmung (f) determination of
measure, metric determinationMassblatt (n) dimensional specifi-
cations
Masse ( f ) mass, quantity
74
massefrei (a) free of mass, masslessMasseinheit (f) unit of measureMasseinteilung (f) graduationmasselos (a) masslessMassenanderung ( f ) mass variationMassenanziehung ( f ) mass attractionMassenanziehungsgesetz (n) law of
mass attraction, law of gravityMassenaquivalent (n) mass equivalentMassenausgleich (m) mass compensation,
isostasy
Massenbegriff (m) concept of massMassenbeschleunigung (f) mass accele-
ration
Massendichte (f) mass densityMasseneinheit (f) unit of massMassenelement (n) element of massMassenerhaltung (f) conservation of
massMassenerscheinung ( f ) mass phenomenonmass enfrei (a) free of mass (particles),
masslessMassenkompensation ( f ) mass compen-
sation
Massenkraft ( f ) inertial forceMassenmittelpunkt (m) center of mass,
centroidMass enmom ent (n) moment of massMassenpunkt (m) mass element or pointMassenschrumpfung ( f ) mass reduction
or shrinkageMassenschwerpunkt (m) center of massMassensingularitat ( f ) mass singularityMass enspektrum (n) mass spectrumMass ensys tern (n) mass systemMass enteilchen (n) mass particle or
element, differential massMass entragheit (f) mass inertia
Massentragheitsmoment (n) mass mo-ment of inertia
Massenveranderlichkeit (f) variabilityof mass
Massen vergleich (m) comparison of
massMass en verteilung (f) distribution of
massMassen wirkung (f) mass actionMassenwirkungsgesetz (n) law of mass
actionMassenwirkungsgle ic hung ( f ) mass ac-
tion equationMassenzentrum (n) center of massMass enzunahme (f), Massenzu wachs (m)
mass increase or increment
Massfunktion (f) function of measuremassgebend (a) decisivemassgleich (a) isometricMassgleichheit ( f ) isometryMassgrosse ( f ) measuring quantity,
measurement; dimensional or
measureable quantityMasskunde (f), Masslehre (f) metrol-
ogyMassproblem (n) problem of measureMass -stab (m) measuring rod, yard-
stick; scale of measurementMass -stabfehler (m) scale errormass -stabgerech t , mass -stabge treu (a)
true to scaleMass -stabkarte (f ) scale chart or mapmass-sta'blich (a) in or to scale
Mass-stabverhaltnis (n) scale ratio
Mass-system (n) system of measure or
measurementMasstensor (m) measuring tensorMass theorie (f) theory of measureMassz ahl (f) measure index, coeffi-
cient of m easureMaterial (n) materialMaterialfestigkeit (f) strength of
materialsMaterialprufung (f) testing of mate-
rials
Materie ( f ) matter
materiefrei (a) free of matterMateriegrenze (f) boundary of mattermateriell (a) materialMateriew elle ( f ) matter waveMathemati k (f) mathematicsMathematiker (m) mathematicianmathematisch (a) mathematicalMatrix ( f ) matrixMatrixelement (n) matrix elementMa trixpr odukt (n) matrix productMatrizenalgebr a (f) matrix algebraMatrizenelement (n) matrix elementMa triz en kalkiil (m) matrix calculus
Matrizenmechanik (f) matrix mechan-ics
Matrizenprodukt (n) matrix productMatrizenring (m) matrix ring
Matrizensy st em (n) system of matri-ces
maximal (a) maximal, maximumMaximalablenkung ( f ) maximal de-
flection or deviationMaximal abweichung (f) maximal
deviation
75
Maximalamplitude ( f ) maximum ampli-tude
Maximalf ehler (m) maximum error
Maximalgef alle (n) maximum gradientMaximalgeschwindigkeit ( f ) maximum
speedMaximalintervall (n) maximal interval
Maximalspannung (f) maximum tension
or voltageMaximalsumme ( f ) maximal sumMaximalsys tern (n) maximal or maxi-
mum systemMaximalwert (m) maximum valueMaximum (n) maximumMaximum kurve (f) curve of the maxi-
mumMechanik ( f ) mechanicsmechanisch (a) mechanicalMechanismus (m) mechanismmedian (a) medianMediane ( f ) medianMedium (n) medium; Medien ( pi)
media, mediumsMeereshohe ( f ) height above sea level
Meer esspiegel (m) sea level
Meeres tiefe ( f ) depth of the sea
Megahertz (n) megacyclemehr atomig (a) polyatomicmehrbasisch (a) polybasicmehr deut ig (a) ambiguousMehr deut igk ei t (f) ambiguitymehr dimens ional (a) multidimensionalMehr dimensionality ( f ) multidimen-
sionality
mehr eindeu tig (a) many-to-onemehr fach (a) multiple
m. monotone Funktion: multimono-tonic function
mehr fa ch (adv) repeatedlyMehr fachbil d (n) multiple imageMehrf ache(s) ( n) multipleMehrfachheit (f) multiplicityMehrfachkorrelation ( f ) multiple cor-
relation
Mehr fachsprung (m) multiple jumpmehr gipf elig (a) multimodalmehrgliedrig (a) polynomial; multi-
link; multimember, multiparametermehrkantig (a) multiedgedMehr kantprisma (n) polyhedral prism
mehr kernig (a) polynuclearmehrmalig (a) repeatedmehrmals (adv) several times, repeat-
edly
mehrmehrdeutig (a) many -to-manymehrphasig (a) polyphasemehrpolig (a) multipolarmehrseitig (a) multilateralmehrstellig (a) multiplacemehrstufig (a) multiplemehrwer tig (a) many-valued, mul-
tiple- valuedMehrwertigkeit ( f ) multiple- valued-
ness, multiplicityMehrz ahl (f) plural; majority, plu-
rality
mehrzylindrig (a) multicylinderMeile ( f ) mileMeilenz ahl (f) mileageMenge (f) quantity; aggregate, as-
semblage, or set (of elements)Mengenaxiom (n) axiom of sets
Mengenbegrif f (m) concept of a set
Men genber eich (m) set domainMen genbil dung ( f ) formation of sets
Mengeneinheit ( f ) unit of quantityMengenfunktion ( f ) set functionMengenkomplex (m) set complexMengenkorper (m) set domain or
field
Mengenlehre ( f ) theory of sets, set
theorymengenmassig (a) quantitativeMengensystem (n) system of sets
mengentheor etisch (a) set- theoreti-
cal
mengentheor etisch - logisch (a) set-
theoretic logicalMengenverhaltnis (n) quantitative
ratio; (statist.) quantity relative
Meniskus (m) meniscusmeniskusformig (a) meniscoidMercatorproj ektion ( f ) Mercator pro-
jectionMeridian (m) meridianMeridianbogen ( m) arc of the merid-
ian
Meridiandistanz (f) meridian distance
Meridiandurchgang (m) meridian tran-
sit (of a star)
Meridianebene ( f ) meridian planeMeridianfigur (f) meridian figure
Meridiankreis (m) meridian (circle)
Meridiankurve (f) meridian curveMeridianlange (f) meridian length
Meridianschnitt (m) meridian sec-
tion
meridional (a) meridional
76
Meridionalschnitt (m) meridional or
meridian sectionMerkatorprojektion (f) Mercator pro-
jection
Merkmal (n) attribute, trait
Merkmalsbetrag (m) statistical valueMerkmals variable (f) statistical vari-
able, variate
Merkta fel ( f ) score, tally
Merkur (m) MercuryMerkurperihel (n) perihelion of Mer-
cury
Merkurperihelbewegung (f) motion of
the Mercury perihelionMeroeder (n) merohedronMeroedrie (f) merohedrismmeroedrisch (a) merohedralmeromorph (a) meromorphicMeson (n) mesonMesonenbahn (f) meson track
Mesotron (n) meson, mesotronMessband (n) measuring tapeMess bar (a) measurableMess barkeit (f) m easurabilit y
Messbereich (m) measuring rangeMesseinheit (f) measuring unit
Mess ein teilung ( f ) graduationm ess en (vt, vi) measureMesser (m) meter; measurerMess feh ler (m) measuring error
Messgenauigkeit (f) accuracy of meas-urement
Mess gera t (n) measuring deviceMess grenz e ( f ) limit of measurementMessgross e (f) quantity to be measuredMess instrument (n) measuring instru-
mentMesskette (f) surveyor's chain
Messketten glied (n) surveyor's link
Messkunde (f) metrologyMess kunst (f) mensurationMesslehre (f) measuring caliper or
gaugeMess methode (f) measuring methodMe ss -schr au be (f) measuring screwMessung (f) mensuration, measurementMess verfahr en ( n) measuring system or
methodMess vorrich tung ( f ) measuring apparatus
Messwerkzeug (n) measuring device or
instrumentMess wesen (n) mensuration, metrologyMess zahl ( f ) measured value; (statist.)
in dex number
Messziff er (f) index numberMesszirkel ( m ) dividersMesszylinder (m) graduated or meas-
uring cylinderMetamathematik (f) metamathematicsmetamathematisc h (a) metamathe-
m atic al
Metaphysik ( f ) metaphysicsmetaphysisch (a) metaphysicalMetatheorie ( f ) metatheorym etaz entrisch (a) metacentricMet az entrum ( n) metacentermetazyklisch (a) metacyclicMeter (n, m) meter, metreMeterkerze (f) meter candle, lux
Metermass ( n) metric measureMetersekunde ( f ) meter per secondMetertonne (f) metric ton
Meterzentner (m) metric centner
Methode (f) methodMetrik (f) measurement, metric(s)
metrisch (a) metric(al)Metrologie (f) metrologyMetronom (n) metronomeMe tronompendel (n) metronome pen-
dulumMiederflache ( f ) hyperboloid of one
sheet
Mikrobe wegung ( f ) micromotionMikiometer (n) micrometerMikron (n) micronMikrosekunde (f) microsecondMikroskop (n) microscopemikroskopisch (a) microscopicMikrostatistik (f) micros ta tis tics
Mikrowelle ( f ) microwaveMikrozoll (n) microinchMilitarperspektive (f) cavalier per-
spectiveMilitarproj ektion (f) cavalier pro-
jectionMilliampere ( n) milliampereM i 1 1 i a r d~e TO billion (in America),
milliard (in Britain)
Milligramm (n) milligramMillimikron (n) millimicronMillion (f) million
Millisekunde ( f ) millisecond
minder (a) less
Minderheit ( f ) minority
m indern ( vt) diminish
Minderung ( f ) diminution
Minderz,ahl ( f ) minority
mindest ( a) least
77
Mindestdehnung ( f ) minimum elongationMindes tgeschwindigkeit ( f ) minimum
speedMindes tm ass (n) minimum measureMindestsp annung (f) minimum tensionMindes tspannungsgra dient (m) mini-
mum potential gradientMindes tw ert (m) least or minimal value,
minimumminimal (a) minimal, minimumMinimalablenkung ( f ) minimal devi-
ation or deflectionMinimalbasis (f) minimal basis (of a
linear space, a number field)
Minimaldru ck (m) minimum pressure
Minimalebene ( f ) minimal planeMinimalf lache (f) minimal surface
Minimalger ade (f) minimal line
Minimalkur ve ( f ) minimal curveMinimalordnung ( f ) minimal or least
order
Minimalpunkt (m) minimal point
Minimals ch ar ( f ) minimal familyMinimalwert (m) minimum valueMinimax (n) minimaxMi ni meter (n) minimeterMi nimu m (n) minimumMinimumkurve ( f ) curve of the mini-
mumMinor (f) minor, subdet erminant, par-
tial determinantMi nor a nte (f) minorant, lower bound
(of a set)
Minoritat ( f ) minorityMinu en d (m) minuendminus (a) minusMinuspol (m) negative poleMinusz eichen (n) minus or negative
sign
Minu te ( f ) minuteMinutenz eiger (m) minute handMischu ngsr echnung (f), Mischu ngsregel
( f ) rule of alligationMitbewegung ( f ) comovementMitlo gar ithmus (m) cologarithmMi tschwingen (n) resonancemitschwingen (vi) covibratemitschwin gend (a) resonantMitschwingung (f) resonanceMi ttags kr eis (m) meridianMitte (f) middlemitteil en (vt) communicate, impartMi tteilung ( f ) communicationmittel (a) medium, median, mean,
middle
MitMit
Mit
Mit
Mit
MitMitMit
Mitmit
MitMitMit
Mit
Mit
Mit
Mit
MitMitMit
MitMitMitMit
Mitmit
el (n) mean; mediumelbegriff (m) middle term (of a
syllogism)elebene ( f ) medium plane,middle plane, center or centralplaneeleinhiillende ( f ) middle enve-lope (of a congruence)el f 1 ache ( f ) middle surface(ofa congruence)elgrosse (f) medium size
elkolonne (f) center columnellinie ( f ) bisecting line, bi'
sector, median; line of centersellot (n) perpendicular bisectoreln (vt) average, take the meanof
elpunkt (m) midpoint, centerelpunktlehre ( f ) centering gaugeelpunkts abstand (m) distancefrom centerelpunkts eigenschaft ( f ) propertyof the centerelpunkts gleichung (f) equationof conic with center at origin
elpunktskegelschnitt (m) central
conicelpunkts wink el (m) central angle(in a circle)
elreihe (f) center rowelschnitt (m) median section
elsenkrechte ( f ) perpendicularbisector
elspal te ( f ) center columnelstreif en (m) middle strip
elwert (m) mean value, averageelwertsatz (m) mean value the-
orem, law of the meanelzeile (f) center row
average, mean,ler (a)
mittlere Krummung: mean curv-
ature
mitzahlen (vt) take into account,
count in
Mobiusband (n) Mobius band or strip
Modell (n) modelModellbildung (f) construction of
modelsM o d u 1 (m) module, modulusModulbasis (f) module basis
Modulhom omorphismus (m) modulehomomorphism
modulo (a) moduloModulus (m) absolute value, modulusModus (m) modal value, mode
78
Mol ( n) moleMolekiil (n) moleculemo leku lar (a) molecularMolekularbewegung (f) molecular
motionMo leku largewicht (n) molecular weightMolekularzustand (m) molecular state
Molekiilbau (m) molecular structure
Molekiilfeld (n) molecular field
Molekiilgitter (n) molecular lattice
Molekiilschwingung (f) molecularvibr ation
Molgewicht (n) molar or gram -molecul ar
weightMoment (m) instant, momentMom en t (n) moment, momentummom en tan (a) instantaneousMomentanbeschleunigung (f) instantane-
ous ac celera tion
Momentangeschwindigkeit ( f ) instanta-
neous velocityMom entanzentrum (n) instantaneous
centerMomentbild (n) moment diagramMom entenbeiwert (m) moment coeffi-
cient
Momen tendiagramm (n) moment diagramMom entenfl ache (f) moment area or
diagramMo men ten gl eichung (f) moment equa-
tion
Mom en ten kurve (f) moment curveMomentenlinie (f) moment curve or line
Momen tennullpunkt (m) point of zero
m omentMom en tenpol (m) center of rotation
Mom entensatz (m) momentum theoremMomentenschaubild (n) moment diagramMond (m) moonMondbahn (f) orbit of the moonMondch en (n) crescent, lune, meniscusMondfinsternis ( f ) lunar eclipse
Mondsich el ( f ) crescent (moon)monodimetrisch (a) monodimetricmonodrom (a) single- valu ed, mono-
dromicMonodromiegruppe ( f ) monodromic groupmonogen (a) monogenicmonoklinisch (a) monoclinicmono ku lar (a) monocularMonom (n) monomialmonomisch (a) monomialmonomorph (a) monomorphicmonoton (a) monotone, monotonic
Monotonie ( f ) monotony, monotonicityMonotonieprinz ip (n) principle of
monotinicity or monotonymonotrop, monotropisch (a) mono-
tropicMorgen (m) acre (of land)
Morphol ogie (f) morphologymorphologisch (a) morphologicalmultipel (a) multipleMultiplett (n) multipletMultiplikand (m) multiplicandMultipli kation ( f ) multiplicationMultiplikationsfaktor ( m) multiply-
ing factor
Multiplikationsgesetz (n) rule of
multiplicationMultiplikationstaste (f) multiplica-
tion bar (of calculator)
Multiplikationszeichen (n) multi-plication sign
mul tiplikativ (a) multiplicativeMultiplikator (m) multiplier
Multiplikatorenbereich (m) domainof multipliers
Multiplikatorenregel (f), Multipli-
katorregel ( f ) method of indeter-
minate multipliers
multiplizieren (vt, vi) multiplyMultiplizitat (f) multiplicity
Multiplum (n) multipleMuschellinie ( f ) conchoidMy (n) Greek letter mu (M, /i
)
My- Meson ( n) mu mesonMyriameter (n) myriameter (jtxm)
NNabel (m) Nabelpunkt (m) umbilic,
umbilical point
Nabla (n) del, nabla (V)Nablaoperator (m) operator nabla
nach (prep.) after, by, to, toward.
( c f . Differentiation)
Nachbarerzeugende ( f ) neighboringelement or generator
Nachbarkurve (f) neighboring curve
Nachbarpunkt (m) neighboring point
Nachbarschaft (f) neighborhoodNachbarstellung (f) neighboring posi-
tion
Nachbild (n) residual imagenacheilen (vi) lag
Nacheilung (f) lag
nacheinander (adv) successively
Nachfolger (m) consequent, successor
79
Nachfolgerfunk tion (f) successor func-tion
Nachfolgerz ahl (f) successor numbernachpru fen (vt) check, re-examineNachpriifun g (f) check, re-examinationnachrechnen (vt, vi) check a calcula-
tion, recalculateNa chs a tz (m) consequent sentenceNachschlagetabelle (f) reference tablenachst (a) nearest, nextnachstfolgend (a) (next) following, con-
sequentNacht bo gen (m) nocturnal arc (of the sun)
Nach tgleich e ( f ) equinoxNachtrag (m) supplementary remark,
adden dumNachweis (m), N achw eisung ( f ) record,
verification
Nach wirkung ( f ) aftereffect, hysteresis
Nachzahl ( f ) cumulative class fre-
quency after median class
Nadelproblem ( n) needle problem (of
prob ability)
Nadir ( m) nadir
Nadirabstand (m) nadir distanceNadirpunkt (m) nadir pointNadirwinkel (m) nadir anglenah (a) near, close
Nahe (f) nearness, closeness, proximity;vicinity
naher (a) closer, nearernahern ( vt, vr) approach, converge to
or towardNaherung ( f ) approximation, approxi-
mate valueNaherungsbruch (m) convergent (of a
continued fraction)
Naherungsformel ( f ) approximate or
approximation formulaNaherungsgleichung ( f ) approximation
equ ation
Naherungsgrosse (f) approximate quan-tity
Naherungskurve (f) approximation or
approximate curveNaherungslosung ( f ) approximate solu-
tion
Naherungsparabel (f) parabola of ap-proximation
Naherungsrechnung (f) approximationc alculus
Naherungsverfahren (f) approximationmethod
naherungs weis (adv) approximately
naherungsweise (a) approximateNaherungswert (m) approximate value,
approximationNahfeld (n) short-range proximity
field
Nahkr af
t
( f ) close-range forceNah wirkung (f) close-range action or
effect
Nahzone ( f ) short-range zoneNatur ( f) natureNaturereignis (n) natural eventNaturerscheinung ( f ) natural phenom-
enonNaturgesetz (n) natural lawNaturkonstante ( f ) universal constantNaturkraft ( f ) natural force
Naturkunde ( f ) natural scienceNaturl ehre ( f ) natural philosophy,
physics
natiirlich (a) natural
Naturwissenschaft (f) natural scienceNebel kammer ( f ) cloud chamberNebenachs e (f) secondary axis; minor
axis (of ellipse); conjugate axis
( of hyperbola)Nebenbedingung (f) auxiliary condi-
tion
Nebenbestandteil (m) secondary part
Nebendiagonale ( f ) diagonal fromright to left, secondary diagonal(of a determinant, a matrix)
Nebenfaktor (m) secondary factor
Nebenflache ( f ) secondary face (of
crystal)
N ebengruppe (f), Nebenklasse ( f ) t
Nebenkomplex (m) coset, residue
class
Nebenkreis (m) small circle (on
sphere)Nebenmaximum (n) secondary or sub-
ordinate maximumNebenminimum (n) secondary or sub-
ordinate minimumNebenplanet (m) satellite
Nebenprojektion ( f ) auxiliary viewNebenquan tenz ahl ( f ) subordinate
quantum numberNebenreaktion (f) secondary reaction
Nebenrechnung ( f ) auxiliary com-putation
Nebenresulta t (n) incidental result
Nebenseite ( f ) diagonal (of a com-plete quadrilateral)
Nebenveranderliche (f), Neben variable
(f) auxiliary variable, parameter
80
Nebenwin kel (m) adjacent angleNebenwirkung ( f ) secondary effect
Nebularhypothese (f) nebular hypothesisNega tionsstrich (m), Neg ationsz eichen
(n) negation sign or barnega ti v (a) negativeNegativ (n) negativeneigen ( vt, vr) incline, slope, tilt
Neigung (f) inclination, dip; gradient,slope
Neigungs kosinus (m) direction cosineNeigungslinie ( f ) slope line
Neigungs winke l (m) angle of inclina-tion or slope
Neil (N) Neilsche Parabel: semicubicalparabola
Nenndrehmoment (n) rated torqueNenn er (m) denominatorNennerdeterminante (f) denominator
determinantNennergrad (m) degree of denominatorNephroide (f) nephroidNer
v
( m) nerveNettobetrag (m) net amountNettoertrag ( m ) net proceedsNetto gew ich t (n) net weightNetz (n) net, network; development (of
a surface of solid)
Netzebene (f) lattice planeN etzebenenabst an d (m) inter-lattice
plane distanceNetzebenenschar (f) family of lattice
planesNetz konstru ktion (f) net or network con-
struction
Netztaf el ( f ) net chart or graphNetzwerk (n) networkneu (a) new; modernNeugrad (m) grad, gradeNeuminute (f) a hundredth of a grad
Neumond (m) new moonneun nineNeun ( f) nineNeuneck (n) nonagonneunec kig (a) nonagonalNeuner (m) figure nine
Neunerprobe (f) casting out nines
Neun erres t (m) excess Of nines
neunhundert nine hundredneunmal nine timesneunmalig (a) (done)nine times
Neunpunktekreis (m) nine-point circle
(of a triangle), Feuerbach's circle
neunt ninth
Neuntel (n) ninth partneunte'ns (adv) ninthlyneunzehn nineteenneunzig ninetyneunzig st ninetiethNeuries (n) 1000 sheets (of paper)Neusekunde (f) a ten-thousandth of
a gradnich t (adv) not, non...
nichtabnehmend (a) nondecreasingnichtabz ahlbar (a) non denu m erabl e
Nichtabzahlbar keit ( f ) nondenumer-ability
nichtanalytisch (a) nonanalyticnichtaqui val ent (a) nonequi valentnichtarchimedisc h (a) non-Archime-
deannichtbehebbar (a) nonremovableN ichtbehebbarkeit (f) nonremov-
ability
nicht-charakterisierbar (a) nonchar-acterizable
Nicht-Charakterisierbarkeit (f) non-characterizability
nichtdicht (a) nondensenichtdifferenzierb ar (a) nondifferen-
tiable
nich tdis kret (a) nondiscretenicht diver gent (a) nondivergentNichtdi ver genz ( f ) nondi vergenceNichtentar tung ( f ) non de genera tion
nichteuklidis ch (a) non- Eu clidean
Nichtex isten z (f) nonexistencenich texistierend (a) nonexistentnichth armonisch (a) anharmonicni ch thau fbar (a) noncu mulati ve
nichthomogen (a) nonhomogeneousnich tk at egor isch (a) nonca tegoric al
nicht koinzident (a) non coinci dent
Nichtkoinz idenz (f) noncoincidencenicht kommu tativ (a) noncommutativeNichtkommutativitat (f) noncommuta-
ti vi ty
nichkonjugiert (a) nonconjugatenichtkon vergent (a) nonconvergentNicht kon vergen z (f) nonconvergencenichtk ristallisch (a) noncrystalline
nicht kugelig (a) nonsphericalnichtleer (a) nonempty, nonvoidnichtleitend (a) nonconducting, non-
conductiveNicht l eiter (m) nonconductornichtlinear (a) nonlinear
81
Nichtlinearitat ( f ) nonlinearitynichtloslich (a) insolubleNicht-Mathematiker (m) nonm athema-
tician
nichtnegativ (a) non-negativenichtorientierbar (a) nonorientablenichtparabolis ch (a) nonparabolicnichtpara llel (a) nonparallelNichtparallelismus (m), Nichtparalleli-
tat (f) nonpar allelismnichtperiodisch (a) nonperiodicNichtperiodizitat (f) nonperiodicit y
nichtrational (a) irrational, nonrationalnichtre ell (a) nonrealnichtreflexiv (a) nonreflexiveNichtreflexivitat (f) nonr eflexivity
nichtreziprok (a) nonreciprocalnichtseparabel (a) nonseparablenichtseparatiert (a) unseparatednichtsin gular (a) nonsingularnichtsi'iusformig (a) nonsinusoidalnichtspezial (a) nonspecialnichts tationar (a) nonstationarynichtst atistisch (a) nonstatisticalNichtsy m metr ie ( f ) nonsymmetrynichtsymmetrisch (a) asymmetric, non-
symmetricnichttr ansitiv (a) nontransitiveNichttransitivita t (f) nontransiti vity
nichttrivial (a) nontrivialnichtumk ehrbar (a) irreversible, non-
re versib le
Nichtumkehrbarkeit (f) irreversibility
nonreversibilitynichtumwandelbar (a) inconvertiblenichtvertauschbar (a) noncommutativeNichtvertauschbarkeit (f) noncommuta-
ti vity
Nichtzusammenfallen (n) noncoincidencenichtzusammenf allend (a) noncoinciden t
nieder (a) low, lowerNiederdruck (m) low pressure
Niederdruckgebiet (n) low-pressure areaNiederstwert (m) lowest or minimum
valueniedrig ( a) low
Nierenkurve (f) nephroidnilpotent (a) nilpotent
nirgendsdicht (a) nowhere dense
Niveau ( n ) level
Niveaufla'che (f) equipotent ial sur-
face, equilevel surfaceNiveaugruppe (f) equipotent groupNiveauhohe (f) height of level
Niveaukurve (f) isothermal curveNiveaulini e (f) line of level, contour
line, equipotential line
Niveauschem a (n) diagram of energylevel
Niveaus tuf e (f) energy level
Ni veausystem (n) system of level
Niveauunterschied (m) difference of
level
Niveauz ahl ( f ) level numbernivellieren (vt) level
Nomenklatur ( f ) nomenclatureNomogramm (n) alignment chart,
nomogramNomographie ( f ) nomographyNonagon (n) nonagonnonagonal (a) nonagonalNonius (m) vernier, noniusNoniusskala (f) vernier scale
Nord, Norden (m) north
nordlich (a) northern, northerly
Nor dpol (m) north poleNordpunkt (m) north pointNordsiidabweichung ( f ) declination
of the magnetic needleNordsudmeridian (m) north-south
meridianNorm (f) standard, normnormal (a) normal; standard; perpen-
dicular
Normalansich t (f) normal viewNormalbeschleunigung ( f ) normal
accelerationNormaldarstellung (f) normal represen
tation
Normaldrehmoment ( n) normal torque
Normaldruck ( m) normal pressure
Normale ( f ) normal, perpendicularNormalebene ( f ) normal or perpen-
dicular planeNormaleichung ( f ) standard calibra-
tion
Normaleinheit (f) standard unit
Normalenkongruenz (f) congruence of
norm als
Normalenlange ( f ) length of normalNormalenrichtung (f) normal direc-
tion
Normalenschar ( f ) family of normalsNormalensystem (n) system of nor-
malsNormalenvektor (m) normal vector
Normalform (f) normal or standard
form
82
Normal funktion (f) normal functionNormalgleichung (f) normal equation,
standard equationNorm al grosse (f) standard size
Norm alisa tion ( f ) normalizationNormalisator (m) normalizernormalisier en (vt) normalize, standard-
iz e
Norm alisierung ( f ) normalization,standardization
Normalita t (f) normalityNormalkoordinaten ( f p 1 ) Riemann's
canonical coordinates, normal co-ordinates
Normalkorper (m) normal field
Norm al kr aft (f) normal or perpendicularforce
Normalkrummung (f) normal curvatureNormalkrummungsvektor (m) normal
curvature vector
Normal kugel (f) normal sphereNormalkurve (f) normal curveNorm almass (n) standard (measure)Normalmass -stab (m) standard scale
Norm al perio de (f) normal period
Normalquerschnitt (m) normal cross
sectionNormalreihe ( f ) normal series
Normalriss (m) normal projection
Normalschnitt (m) normal or right sec-
tion
Norm alstehen (n) perpendicularityNormal teiler (m) normal divisor, self-
conjugate or invariant subgroupNorm al vergrosserung ( f ) normal magni-
fication
Normalver teilung ( f ) normal distribu-
tion
Nor mal w er t (m) standard valueNormalz e it (f) standard timeNormalzus tand (m) normal or ground
state
normen (vt) norm, normalize, standard-
ize; c al ibrat e
Norm enprodukt (n) product of the
normieren (vt) norm, normalize,standardize, streng normierter Raum:strictly normalized space
Normiertheit (f) normalcy, normalityNormierung ( f ) normalization, stan-
dardization; calibration
Normung (f) norming, normalization,standardization, calibration
notw en dig (a) necessary
Notwendigkeit (f) necessity
Null (f) zero, naught, null
Nullablesung ( f ) zero readingNullachse (f) coordinate axis, neut-
ral axis
Nullage (f) zero position
Nulldarstellung ( f ) null representa-tion
nulldimensional (a) zero-dimen-sional
Nulleinstellung ( f ) zero positioning
Nullelement (n) null or zero elementNul lenzirkel (m) spring bow compass,
hair compassNullfolge (f) null sequenceNullideal (n) null ideal
Nullinie (f) zero line, neutral line
Nullklasse ( f ) null class
Nullkreis (m) circle of zero radius,
imaginary circle, null circle
Nullkugel (f) sphere of zero radius,
imaginary quadric cone, isotropic
coneNullkurve (f) zero curveNull-lage (f) zero position
Null -'linie (f) = Nullinie
Nullmatrix (f) null matrixNullmenge ( f ) null set
Nullmeridian (m) first or prime meri-dian, zero meridian
Nullni veau (n) zero level
Nullpunkt (m) null or zero point,
origin; (phys.) neutral point
Nullpunktstangent (f) tangent at
origin, null-point tangentNullring (m) null ring
Nullstelle ( f ) zero (of a function, a
prime ideal)
Nul lstellenkorper (m) zero field
Nullstellenm annigfal tigkeit (f) zero
manifoldNullstellung ( f ) zero position, neutral
position
Nullstrich (m) zero mark (of a scale)
Nullsystem (n) null systemNullteiler (m) zero divisor
n u 1 1 1 e i lie (a) composed of zero parts
or segmentsNullvektor (m) null vector
Nullwert (m) zero value
null wertig (a) zero-valuedNullwertigkeit ( f ) z ero- valuedness
N ullwinkel (m) zero angle
Nullz weig ( m) zero branch, neutral
branch
83
Nu merale ( n) numeralnumerieren (vt) numberNu m erierung (f) numbering, numerationnu merisch (a) numericalNumerus (m) antilogarithmNummer ( f ) numberNu tation (f) nutationNuta tions kegel (m) nutation coneNu tz effect (f), Nutzleistung (f), Nutz -
wirkung ( f ) efficiencyNy (n) Greek letter nu ( N, v)Ny - Meson (n) neutral meson
oob en (adv) above, up
ober (a) superior, upperOberdurchschnitt (m) average of averagesO b e r fla ch e (f) surface; surface areaOb er flach enausdehnung ( f ) surface ex-
pansionOberflachenberechnung (f) computation
of surface area, complanationOberflachendichte (f) surface densityOb erf la chendruck (m) surface pressure
Oberflachenelement (n) surface ele-
mentOberflacheninhalt (m) surface areaOb erflachen integral (n) surface integralOberflache niadung (f) surface chargeOber fla chenpunkt (m) point of surfaceOberflachenschicht (f) surface layer
Oberflachenspannung ( f ) surface ten-
sion
Oberflachentemperatur ( f ) surface tem-perature
Oberflachenverteilung (f) surface dis-
tribution
Oberflachenwelle (f) surface waveOberflachenzone (f) surface region or
zoneob erf lachlich (a) superficialOber grupp e ( f ) class of classes, larger
class
Obergruppenbildung (f) formation of
larger classes
Ober gruppenlage ( f ) position of larger
classes
ob erh alb (adv) aboveOb erklasse (f) extension class; upper
class
Oberkorper (m) extension field
Ob ermenge (f) inclusive set
Oberring (m) extension ring
Obersatz (m) major premise
Ober schicht (f) upper layerOberschwingung ( f ) harmonic vibra-
tion*
Oberseite (f) upper side
obers t (a) topmostOberton (m) overtoneOberwelle ( f ) harmonic waveOberw ellenanalys ator (m) harmonic
analyz er
Objekt (n) objectObs er va torium (n) observatoryo f f en ( a ) openCffnung ( f ) opening, slit; (opt.)
aperture(3ffnungs winkel (m) aperture angleOgdoeder (n) ogdohedronogdoedrisch (a) ogdohedralOktaeder (n) octahedronoktaedral (a) octahedraloktaedrisch (a) octahedralOktant (m) octantOkta ve (f) octaveOktett (n) octet
Oktillion (f) quin decillion (in
America), octillion (in Britain)
Oktogon (n) octagonoktogonal (a) octagonalOmega (n) Greek letter omega (0,w)Omikron (n) Greek letter omicron
T67o)Operation ( f ) operationOperationssymbol (n) symbol of
operationOperationszeichen (n) operative sign
Operator (m) operatorOperatorenbereich (m) domain of
operatorsOperatorenmethode ( f ) method of
operatorsOperatorenrechnung ( f ) operational
calculusoperatorhomomorph (a) operator-
homomorphicOperatorhomomorphismus (m) opera-
tor homomorphismoperatorisomorph (a) operator-iso -
morphicOperatorisomorphismus (m) operator
isomorphismOperatorsy mbol (n) operative symbol,
operatoroperieren (vi) operateOptik ( f ) optics
optisch (a) optical
84
ordentlich (a) ordinary, properOrdinalzahl (f) ordinal number, ordinalOrdinate (f) ordinateOr dinatenachse (f) axis of ordinatesOrdinatendifferenz (f) difference of
ordinates; rise (between two points)Ordinatenmassstab (m) ordinate scaleordnen (vt) arrange, orderOr dnung (f) order; degree (of a curve,
a surface )
Ordnungsaxiom (n) ordering axiomOr dnungsbez iehung ( f ) order relation
— -— - —-
i i11
'...
Or dnun gsf la che ( f ) nucleus of a polarsystem in space ; order surface
Or dnungskubik ( f ) cubic curve as a pointconfiguration, curve of the third order
Or dnungs kur ve (f) curve as a point con-struct, order curve; nucleus of a
polar system in the planeOrdnungsquartik ( f ) quartic curve as a
point configuration, curve of the
fourth order
Or dnungsprinzip ( n) order principleOr dnungsr el ation (f) order relationOrdnungsrichtung (f) orientationordnu ngs treu (a) or der- preservingOrdnungstyp (m), Ordnungstypus (m)
order typeOrdnungszahl (f) ordinal number, ordi-
nal; index of a polarity; (phys.)
atomic number, order numberorientieren (vt) orient, direct; (vr)
find one's bearingsorientiert (a) orientedOrientierung (f) orientationOriginal versuch (m) original experi-
mentOrt (m) place, position; geometric
locus
Or thoachs e (f) orthoaxisorthodiagonal (a) orthodiagonalOrthodiagonal e (f) orthoaxis
Orthodoma (n) orthodomeorthogonal (a) orthogonal, orthographicOrthogonalfunktion (f) orthogonal func-
tion
Or thogonalinvariante ( f ) orthogonal in-
variantOr thogonalita t (f) orthogonalityOrthogonalitatsbeziehung (f), Orthogo-
nalitatsrelation (f) orthogonalityrelation
Orthogonalkreis (m) orthogonal circle
Orthogonalpolynom (n) orthogonal poly-nomial
Orthogonalprojektion (f) orthogonalor orthographic projection
Orthogonalreihe (f) orthogonal seriesOrthogonalsystem (n) orthogonal sys-
temorthographisch (a) orthographicorthoklastisch (a) orthoclasticOrthopinakoid (n) or thopinacoidOrthoprisma (n) orthoprismOrthopyr amide ( f ) orthopyramidorthorhombisch (a) orthorhombicorthosymmetrisch (a) orthosymmet-
ric
ortlich (a) local; positional, geo-graphic
Ortlichkeit ( f ) locality
ortsbeweglich (a) movableOrts beziehung (f) topological re-
lation
Ortsdiagramm (n) locus diagramOrtsfehl er (m) location error
ortsfest (a) stationaryOrtsfunktion ( f ) position functionortsgebunden (a) localizedOrtsgleichung (f) equation of a locusOrtskoordinate ( f ) position coordi-
nateOrtskurve (f) locus (curve)Ortsraum (m) local spaceOrtsuniformisierende (f) parameter
for neighborhood uniformalizationOrts vektor (m) position vector,
localized vectororts veranderlich (a) mobile, movableOrts veranderung (f) change of position
Ortszeit ( f ) local timeOrtung ( f ) position fixing
Oscillation (f) oscillation (= Oszil-
lation )
Oskulation ( f ) osculationOskula tionsebene ( f ) osculating planeOskulationsknoten (m) oscnodeOskulationsknotenspitze (f) point of
osculinf lection or oscu-inflectionOskulationskreis (m) osculating
circle
Oskulationskugel ( f ) osculatingsphere (of space curve)
oskulier en (vt) osculateOst (m), Osten (m) east
ostlich (a) eastern, easterly
Ostpunkt (m) east point
Oszillation (f) oscillation; (phys.)
oscillation, vibration. (= O s c i 1 -
lation)
85
Os zil la tions aufspaltung (f) splitting upof oscillations
Oszillationsbestandteil (m) componentof oscillation or vibration
Oszill ationsfreiheitsgrade (mpl) de-grees of freedom of oscillation
Oszillationsquantenzahl (f) vibrationalquantum number
Oszillationsquantum (m) vibrationalquantum
Oszillationssprung (rn) oscillatory jumpOs zil lations theorem (n) oscillation
theoremOszillator (m) oscillator
osz illieren (vi) oscillate; (phys.)
oscill ate, vibrate
oszillierend (a) oscillating; (phys.)
oscillating, vibrating
oval (a) ovalOval oi do (f) ovaloidOvalpunkt (m) point of ovalOvaltangente (f) tangent to oval
Paar (n) couple, pair
Paarbil dung (f) pair formationpaaren ( vt) pair
paarig (a), paarweise (a) in pairs,
p air wis e
Pa ari gk ei t (f) parity (of a number)Papiermass (n) paper measureParab el ( f ) parabolaParab el abschnitt (m) parabolic seg-
mentParab el achs e (f) axis of the parabolaParabelbe wegung ( f ) parabolic motionParabelbogen (m) parabolic arc
parab el formig (a) parabolic (in formor shape)
Par ab el gl eichung (f) equation of a
parabolaParab el koordina te ( f ) parabolic coordi-
nateParabelschar (f) family of parabolasParabelsegmen t (n) parabolic segmentParab elsystem (n) system of parabolasparabolisch (a) parabolicparaboloidisch (a) paraboloidalparadox (a) paradoxicalPar adoxie (f), Paradoxon (n) paradoxparallaktisch (a) parallacticParallaxe ( f ) parallaxParal laxengleichung ( f ) parallactic
equ ation
Parall ax ens e ku nd e (f) parsecParall ax winkel (m) angle of parallaxparallel (a) parallelParallel (m) parallel (circle)
Parallelbewegung ( f ) parallel motionParallele (f) parallel (line)
P arallel ebene (f) parallel planeP ar allel enaxiom (n) parallel axiomPar all el enpaar ( n) parallel pair
Parall elenpostulat (n) parallel postu-late
Parallelepiped , Par alle le pipe don, (n)
parallelepipedParall elflach (n) parallelepipedParallel fl ache (f) parallel surfaceParallelfiihrung (f) parallel motion
( of mechanism)Parall elismus (m), Parallelitat (f ).
p ar all el ismPar al 1 el koordinat en (fpl) parallel
coordinatesP ara 11 el kreis (m) parallel circle
Parallellineal (n) straightedgeP a r a 1 1 e 1 1 i n i e ( f ) parallel line
Parall el ogr am m (n) parallelogramP ara 11 el persp ek ti ve ( f ) parallel per-
sp ecti ve
Parallelproj ektion (f) parallel pro-
jectionP ara 11 elschnitt (m) parallel sectionP arall elstr ahl (m) parallel line or
ray
Parallelstr ahlenbiindel (n) bundle or
sheaf of parallel lines or rays
Para 11 elstr ah lenbuschel (n) pencil
of parallel lines
Parall elstromung ( f ) parallel flow
parallelverschieblich (a) transla-
tional, translatory
Parall el verschiebung ( f ) parallel dis-
placement or shift, translation
Parallel verschiebung sgesetz (n) prin-
ciple of parallel displacement,parallelism of Levi-Civita
Paralogismus (m) paralogismParameter (m) parameterParameterdarstellung (f) parametric
repres entationParametergleichung ( f ) parametric
equationparameter invariant (a) parametric-in'
variant
Parameterinvariante ( f ) parametricinvariant
86
Parameterlinie (f) parametric curveParam eters k al a (f) parametric scale
Parametertransformation (f) parametrictransformation
Param eterwahl ( f ) choice of parameterParam eterw ert (m) value of parameterparam etrisch (a) parametricparamorph (a) paramorphic, paramor-
phousParamorphose (f) paramorphismParit at (f), Pariwert (m) parity
Parsek (n) parsecPartial bru ch (m) partial fraction
Partial bru chzerl egun g (f) decompositionof a fraction into partial fractions
Partialdeterminante ( f ) partial deter-minant, su bdeterminant, minor
Partialsch wingung ( f ) partial oscilla-
tion or vibrationPartialzweig (m) partial branchpartiel 1 (a) partial
Partikel (f) particle
parti ku la r, partikular (a) particularPartiku larkurve ( f ) particular curvePartiku larlosu ng ( f ) particular solutionParti kularsy stem (m) system of parti-
cular integrals or solutions
passen (vt, vi) fit
passend (a) fitting, suitablepassier en ( vi) pass
Pendel (n) pendulumPendelabweichung (f) pendulum devi-
ation
Pendelamplitu de (f) amplitude of the
pen dulumPendelauss chlag (m) pendulum deflec-
tion or swing, amplitude of the pen-dulum
Pendelbahn ( f ) pendulum arc
Pendelbewegung ( f ) pendulum motionPendelebene (f) pendulum planePendelgesetz (n) law of pendulum mo-
tion
Pendell ange ( f ) pendulum lengthpendeln (vi) swing, oscillatePendelschwingung (f) pendulum swing
or oscillationPendeluhr (f) pendulum clockPend el versuch (m) pendulum experimentPentade (f) pentadPenta eder (m) pentahedronpentaedrisch (a) pentahedralPentagon (n) pentagonpentagonal (a) pentagonal
Pentagonalzahl ( f ) pentagonal numberPentagondodekaeder (n) pentagonal
dodecahedron, pent adocahedronPentagonikositetraed er (n) pentago-
nal icositetr ahedronPentagramm (n) pentagrampentaspharisch (a) p entasphericalPenumbra (f) incomplete shadow,
penumbraperf ekt (a) perfect, completeP erf ek theit (n) completenessP erigaum (n) perigeePerihel (n) perihelionPerihelbewegung (f) motion of the
perihelionPerihelium (n) perihelionP eriode (f) periodPeriodenzahl ( f ) number of cyclesperiodisch (a) periodicP eriodiz ita t (f) periodicityPeriodizitatsmodul (m) periodicity
modulusPeriodogramm (n) periodogramP eriodogrammanaly se ( f ) periodo-
gram analysis
peripher (a) peripheralPeripherie ( f ) peripheryPeripheriepunkt (m) peripheral point
Peripherie winkel (m) inscribed angle(of a circle)
Perlkurve (f) pearls of SluzePermanenz ( f ) permanencePerm anenzpr inzip (n) principle of
perm anenc e
Permu ta tion ( f ) permutationPermutationsgruppe ( f ) permutation
groupPermutationsmatrix ( f ) permutation
matrixpermutierbar (a) permutablePermu tier bar keit ( f ) permu tability
permutieren (vt, vi) permutePerpendikel (n) perpendicularperpendikular (a) perpendicularperspektiv (a) perspectivePerspektivbildebene ( f ) plane of per-
spectivePerspektive (f) perspectiveperspektivisch (a) perspectivePerspektivitat (f) perspecti vity
Perspektivitatsachse (f) axis of per-
spectivity or homologyPerspektivitatszentrum (n) center of
p erspecti vity or homology
87
Perspektivprojektion ( f ) perspektive pro-
jectionPerspektivzeichnung ( f ) perspective
drawingpersy mmetrisch (a) persymmetricPerturbation ( f ) perturbationPerzent (n) per centPerzentsatz (m) percentagePerzentil ( n) percentilePferdef essel ( f ) horse fetter, hippopedePferdekraft (f), Pferdes tarke ( f ) horse-
pow er
Pfl astersa tz (m) covering theoremPfund (n) poundPhase ( f ) phasePhasenkonst ante ( f ) phase constantPh asenr aum (m) phase spacePhasenregel ( f ) phase rule
Phasensprung ( f ) phase jumpPhasenunterschied (m) phase differencePh asenwinkel (m) phase anglePhi (n) Greek letter phi ($, q>)
Phon ( n) phonphotoel ek tr isch (a) photoelectricPhotoel ektrizita t ( f ) photoelectricityPhoton (n) photonPh ysik ( f ) physicsphysikalisch (a) physicalPhysiker (m) physicist
physisch (a) physicalP_i (n) Greek letter pi (n,7r)
piezoele ktrisch (a) piezoelectricPiezoel ektr izitat (f) piezo electricity
Piezo kr is tal 1 (m) piezoelectric crystal
Pi- Meson (n) pi meson, pionPinakoid (n) pinacoidPinchebene (f) pinch planePinchpunkt (m) pinch pointPinte (f) pint
Planet (m) planetPlanetenbewegung ( f ) planetary motionPlanetenstorung ( f ) planetary perturba-
tion
Plane volute (f) evolute of a skew curvePlanevol vente ( f ) involute of a skew
curvePlaniglob (m, n) planiglobe, planispherePlanimeter (m) mechanical integrator,
planimeterPlanimetrie ( f ) planimetry, plane geom-
etry
Planisphare ( f ) planispherePlankugel (f) projection of sphere upon
plane, planisphere
planparallel (a) with parallel faces,
plane-parallelPlanparallelitat (f) plane parallelismPlanschnitt (m) plane sectionPlansymmetrie ( f ) plane symmetryplansymmetrisch (a) plane-symmet-
ric
planzylindrisch (a) piano-cylindricalP latz wechs el (m) change of placePleochroismus (m) pleochroismpleochroitisch (a) pleochroicPluslehr e (f) plus gaugePluspol (m) positive pole
Pluszeichen (n) plus or positive sign
Pol ( m) polePolarabstand (m) polar distancePolarachse ( f ) polar axis
Polardistanz ( f ) polar distancePolardreieck (n) polar triangle (on
sphere); self-polar triangle (of a
conic), sel f- conj ugate triangle (of
polarity)
Polardreika nt (n) polar trihedral
Polare (f) polar line (of quadric);
axis of curvaturePolarebene (f) polar planePolarecke (f) polar solid anglePolarenbil dung ( f ) polar construction,
polarizationPolarentheorie ( f ) theory of pole and
polar
Polarformel (f) polar formulaPolargerade ( f ) polar line
Polargleichung ( f ) polar equationPolargrupp e ( f ) polar group
Polarisation (f) polarization
Polarisationsebene (f) polarization
planePolarisationskonstante (f) polarizing
constantPolarisations winkel ( m) polarizing
anglepolarisieren (vt) polarizePolaritat ( f ) polarityPolarkegelschnitt (m) polar conic
Polarkoordinaten (f pi ) polar coor-dinates
Polarkreis (m) circle of polarity;
(geog.) artic circle
Polarkurve ( f ) curve of polarity, po-
lar curve; (statist.) polar dia-
gramPola rnormale (f) polar normalPolarproj ection ( f ) polar projection
88
polarreziprok (a) polar reciprocal,dualistic
Polarreziproke (f) polar reciprocalPolarreziprozitat (f) polar reciprocationPolarstern (m) polar star
Polarsubnormale ( f ) polar subnormalPolarsubtangente ( f ) polar subtangentPolartangente (f) polar tangentPolartetraeder (n) self-polar tetrahed-
ron
Polarwinkel (m) polar angle, vectorialangle, amplitude, argument, azimuth
Poldistanz (f) polar distance; (astr.)
co- declinationPolhodie (f) polhodePolhohe (f) altitude of the polePolweg (m) pole path, polhodePolweite (f) pole or polar distancePolwinkel (m) polar anglePolyade ( f ) polyadpolyadrisch (a) polyadicpolydrom (a) polydromicPolyeder (n) polyhedronPolyederf lache (f) face of polyhedronPolyederformel (f) polyhedral formula,
Euler's theorem on polyhedronPoly edersystem (n) system of poly-
hedronsPolyedertopologie (f) topology of poly-
hedronsPolyederumgebung ( f ) neighborhood of
polyhedronpolyedr isch (a) polyhedralpolygen (a) polygenicPolygon (n) polygonpolygonal (a) polygonalPolygonalzahl ( f ) polygonal numberPolygonnetz (n) polygon networkPolygonseite (f) side of polygonPolygonzug (m) connected series of
lines
polykonisch (a) polyconicpolymorph (a) polymorphousPolymorphic ( f ) polymorphismPolymorphismus (m) polymorphismPolynom (n) polynomialPolynombereich (m) polynomial domain,
polynomial ringPolynomform (f) polynomial formPolynomfunktion (f) polynomial func-
tion
Polynomideal (n) polynomial idealpolynomisch (a) polynomialPolynomring (m) polynomial ring
Poly trope (f) polytropic curvepolytropisch (a) polytropicPolzahl (f) number of polesPositionswinkel (m) angle of positionposjti v (a) positive
Possibilitat (f) possibility, likeli-
hoodPosten (m) item; addend, summandPostulat (n) postulatepostulieren (vt) postulatePotential (n) potentialPotentialdiff erenz (f) potential dif-
ferencePotentialfeld (n) potential field
Potentialfunktion ( f ) potential func-tion
Potentialgefalle (n) potential gradi-ent
Potentialgleichung (f) potentialequation
Potentialstromung (f) potential flow
Potentialtheorie (f) potential theorypotentiell (a) potentialPotenz (f) powerPote nz achse (f) radical axis (of two
circles, three spheres)
Potenzdeterminante ( f ) determinant of
powers, Vander mondianPotenzebene ( f ) radical plane (of
two spheres)Potenzexponent (m) power exponentPotenz funktion ( f ) power functionpotenzieren (vt) raise to a powerPotenzieren (n), Potenzierung (f)
raising to a power, involutionPotenzlinie (f) radical axis (of two
circles, three spheres)
Potenzmittelpunkt (m) radical center.
( c f . Potenzpunkt )
Potenzprodukt (m) product of powerterms
Potenzpunkt (m) radical center (of
three circles, of four spheres)
Potenzreihe ( f ) power series
Potenzreihenentwicklung (f) power-series expansion
Potenzres t (m) power remainderPotenzsumme (f) sum of powersPotenzzentrum (n) radical center
pradikabel (a) predicablePradikat (n) predicatePradikatenkalkiil (m) predicate cal-
culus
Pradikatenpradikat (n) predicate of
predicates, second-level predicate
89
Pradikatenvariable ( f ) predicate vari-
ablepra di ka ti v (a) predicativePradi kats begriff (m) predicate concept
or termPradikatz eichen (n) predicate symbolPrafix (n) prefix
Pramiss e (f) premisepranex (a) prenexPra zession (f) precessionPra zessionsachse (f) axis of precessionPra zess io nsk egel (m) precession conePra zision (f) precisionPrazisionsmass (n) precision measurePrazisionsw aage ( f ) precision balancePreisindex (m), Preismesszahl ( f
)
price indexprim ( a) primePrimabschni tt (m) prime segmentPrim ar (a) primaryPrimarideal (n) primary idealPrimarkomponente ( f ) primary com-
ponentPrimarlinie ( f ) primary line
Prim ars trahl (m) primary ray
Primbereich (m) prime domainPrimelem en t (n) prime elementPrimfaktor (m) prime factor
Primf ak torpotenz (f) prime factor to
the high es t- appearing powerPrimfaktorzerlegung ( f ) prime factori-
zationPrimfolge (f) prime sequencePrimfunktion (f) prime functionP r i m i d e a 1 (n) prime ideal
Primintegritatsber eich (m) prime in-
tegral domainprimitiv (a) primitivePrim korper (m) prime field
Primpolynom (n) prime polynomialPrimring (m) prime ring
Prim teiler (m) prime divisor
Primzahl ( f ) prime numberPrimzahlgrad (m) prime degreePrimzahlpotenz (f) power of a prime
number, prime powerPrimzahlpotenzgruppe (f) prime-power
groupPr imzerlegung (f) prime factorizationPrinzip (n) principlePrinzipal funktion (f) principal func-
tion
Prinzipalserie (f) principal series
Prisma (n) prism
prismatisch (a) prismaticPrismatoid (n) prismatoid, prismoidPrismenflache (f) face or surface of
a prismPrismenhauptschnitt (m) principal
section of a prismPrismoid (n) prismoid, prismatoidProdukt (n) productProduktbil dung ( f ) product formationPro d u ktion ( f ,) productionProduktklasse ( f ) product class
Produk tm enge (f) product set
P roduk tvektor (m) product vectorProdu k t verfahren (n) product methodpro ( prep. ) per
Probe (f) test; checkProblem (n) problemproblem atisch (a) problematicProb lemst ellun g (f) formulation of a
problemProgramm (n) programprogrammieren (vt, vi) programProg ression (f) progressionprogressiv (a) progressiveProj ektion (f) projectionProj ektionsachs e (f) reference line of
proj ectionProjektionsebene ( f ) plane of pro-
jection
Proj ektionsfl ache ( f ) projection area
Proj ektionslehr e (f) theory of pro-
jectionProjektionsoperator (m) projection
operatorProjektionssatz (m) projection theoremProjektionsstrahl ( m ) ray of projection
Proj ektionstafel (f) plane of projec-
tion
Proj ektionszentru m (n) center of pro-
j ectionprojektiv (a) projectiveProj ekti vitat ( f ) projectivity
Projektivitatsachse ( f ) axis of pro-
jectivity, cross axis
proj izieren (vt, vr) project
Prop ortionale ( f ) proportional
Proportionalitat (f) proportionality
Proportionalitatsfaktor (m) propor-
tionality factor
Protoprisma (n) protoprism, unit
prismP rotopyr amide (f) protopyramid,
unit pyramidProzent (n) percent
90
Prozentsa tz (m) percentageprozentual
, prozentuel 1 (a) percentageProzess (m) processpriifen (vt) examine, test, verifyPr
u
flehre ( f ) standard gaugePru fung (f) examination, test, verifi-
cationPriifungsergebnis (n) test scorepseudoeuklidisch (a) ps eu doeuclideanPseudosphar e (f) pseudospherepseudospharisch (a) pseudosphericalPseudosymmetrie ( f ) pseudosymmetrypseudos ymm etrisch (a) pseudosymmetriePsi (n) Greek letter psi (¥, tfi )
ptolemaisch (a) Ptolemaic, Ptolemy'sPtolemaus (N) PtolemyPunkt (m) pointPunktanordnung (f) arrangement of
points
Punktberuhrung ( f ) point contactPunktbestimmung (f) point determi-
nationPunktepaar (n) pair of points, point
pair
Punktfeld (n) field of pointspunktformig (a) point-shaped, puncti-
formPunktgebilde (n) point configurationpunktieren (vt) dot
Punktkoor dinate ( f ) point coordinatePunktkreis (m) point circle
Punktkugel (f) point spherePunktkurve (f) curve as a point con-
struct
Punktmannigfaltigkeit (f) point mani-fold
Punktmasse ( f ) point mass; (statist.)
time series of point dataPunktmenge ( f ) point set
Punktpaar (n) point pairPunktquelle ( f ) point sourcePunktraum (m) point spacePunktreihe (f) range or series of points
Punktsingularitat (f) point singularityPunktsyst em (n) system of points
Punkttrans formation (f) point trans-
formationPu nkttripel (n) point triplet
punktuell (a) point-shapedpunktweise (a, adv.) point by point, by
means of pointsPunktwolke ( f ) point cloud, bivariate
point distribution
pyramidal (a) pyramidal
Pyramidalzahl (f) pyramidal numberPyramide (f) pyramidPyramidenflache (f) pyramidal sur-
face
pyramidenformig (a) pyramidalPyramidenoktaeder (n) triakisocta-
hedronPyramidenrumpf (m) frustum of a
pyramidPyramidenstumpf (m), Pyramidenstutz
(m) frustum of a pyramidPyramidenwurfel (m) t etrahex ahedronPyritoeder (n) pyritohedronpythagoraisch (a) Pythagorean
QQuader (m) right parallelepiped,
cuboidQuadrant (m) quadrantQuadrat (n) squareQuadratdezimeter (n) square deci-
m et er
Quadratdiagonale ( f ) diagonal of a
squareQuadratdifferenz ( f ) difference of
squares
Quadratfuss (n) square foot
Quadratgrad (m) square degreequadratisch (a) quadratic, squareQuadratkilometer (n) square kilo-
meterQuadratmasche ( f ) square meshQuadratmeile (f) square mileQuadratmeter (n) square meterQuadratmillimeter (n) square milli-
meterQuadratmyriameter (n) square myria-
m eter
Quadratnetz (n) net of squares, map-grid system
quadrato - kubis ch (a) semicubicalQuadratrix (f) quadratrixQuadratrute (f) square rod
Quadratschein (m) quadrate, tetragon
Quadratsumme (f) sum of squares
Quadratur (f) integration, quadrature;
(astr.) quadrate, quartile aspect
Quadratwurzel (f) square root
Quadratwurzelausziehung (f) extrac-
tion of square root
Quadr atyard (n) square yardQuadratzahl (f) square numberQuadratzentimeter (n) square cen-
timeter
91
Qu adratzoll (n) square inch
quadrierbar (a) squarable; integrable
qu adrieren (vt) squareQu adrierung (f) squaringQuadrifolium (n) quadrifoliumqu adril liert (a) square-ruled, quadrille"
Qu adril lion ( f ) septillion (in America),quadrillion (in Britain)
Qu adru pel (n) quadrupleQu adrupelpunkt (m) quadruple point
Qu adrupol (m) quadrupoleQu adrupo 1 m om ent (n) quadrupole
momentQu adrupolstrahlu ng (f) quadrupole ra-
diatio n
Qu alita
t
( f ) quality
qualitativ (a) qualitative
Qualita tsgrenze ( f) quality limit
Qualitatskontroll e (f) quality control
Qu al itatsni veau (n) quality level
Qu ant ( n ) quantumquanteln (vt) quantizeQuantelung ( f ) quantizationQuantenaquivalentsatz (m) law of
quantum equivalenceQu antenbahn (f) quantum orbit or pathQu an tenbedingun g ( f ) quantum condi-
tion
Quantenbild (n) quantum notation
Qu an tendef ekt (m) quantum deficiencyQu antengewicht (n) quantum weightQu antenhypothese (f) quantum hypoth-
esis
Qu an tenin tegr al ( n) quantum integral
Quantenmechanik (f) quantum mechanicsQu antensprung (f) quantum jumpQu antenstreuung ( f ) quantum scatteringquantentheoretisch (a) qu an turn - theore-
tic
Qu antentheorie (f) quantum theoryQuanteniibergang (m) quantum transition
Qu anten vektor (m) quantum vectorQu an tenz ahl ( f ) quantum numberQu an tenzust and (m) quantum state
Qu an tif ik ation (f) quantificationqu antif iz ier en (vt) quantifyqu antis ier en (vt) quantizeQuantisierung ( f ) quantizationQu antitat ( f ) quantityqu antitativ (a) quantitativeQuantum (n) quantity, quantumQuart (n) quart (measure)Quartik (f) quartic (curve, equation)Quartil (n) quartile
Quartilsabstand (n) quartile deviationquasidefinit (a) quasi- de fi nite
quasielastisch (a) quas i- el astic
quasigleich (a) quasi-equalQuasigleichheit (f) qu asi -equ al ity
quasistab il (a) quasi-stablequasistarr (a) quasi-rigidQuasiteil er (m) quasi - d i visionQuasi vielf ache (n) quasi- multiplequaQuaQua
Qua
Qua
Qua
QueQueQueQuequequeQueQueQue
Que
Que
Que
QueQueQue
QueQueQueQueQueQue
Que
QueQue
ernar (a) quaternaryernion (f) quaternionernionengruppe ( f ) quaterniongroupernionenkorper (m) quaternionfield, algebra of quaternionsernionenraum, Qua ternionraum(m) quaternion spaceernionenring (m) quaternionring
1 e (f) origin, sourcelfluss (m) source flow
lpunkt (m) point source, origin
lstromung (f) source flow
(a) cross, transverse
(adv) across
a bw eichung (f) lateral deviationachse ( f ) transverse,, axis
a uss ch la g (m) transverse swingor vibration
bewegung (f) transverse movem ent
deh nu ng ( f ) transverse extensionor expansiondehnungsziff er ( f ) coefficient
of transverse expansion, Poisson's
ratio
doma (n) macrodomedruck (m) lateral pressure
durchschnitt (m) transverse or
cross section
e (f) cross dimensioneffect (m) transversal effect
feld (n) transverse field
festigkeit (f) lateral strength
f 1 ache (f) transverse planegeschwindigkeit (f) transverse
velocitykonstant e (f) Poisson's ratio or
constantprofil (n) cross profile
schnitt (m) transverse or cross
sectionQuerschnittsflache (f) cross-sectional
area
92
Qu erschwingung ( f ) transverse oscilla-
tion, lateral or transversal vibration
Querstrich (m) cross bar
Quersumme ( f ) sum of digits
Qu er verkiirzung (f) transverse shorten-
ing
Qu er welle (f) transversal waveQuerzahl (f) Poisson's ratio
Qu erzu g (m) transverse pull
Quintik (f) quintic (curve, equation).
Q. mit funf Ruckkehrpunkt en;
quintic with five cusps, Haskell'squintic
Quintillion ( f ) nonillion (in America),quintillion (in Britain)
Quintupel (n) quintupleQuirl (m) curl (of a vector function)Quote ( f ) quot a
Quotient (m) quotientQuotientengruppe ( f ) quotient or fac-
tor groupQu otientenkomplex (m) quotient com-
plex
Quotientenkorper (m) quotient field
Quotientenring (m) quotient ring
Quotientensatz (m) quotient theorem
RRa ch en lehr
e
(f) caliper gauge, calipersRadbewegung (f) rotary motionradial (a) radial
Ra dialb es chleunigung ( f ) radial accele-ration
Ra diale (f) radial (curve)Radialkomponente ( f ) radial componentRadia Ikraft ( f ) radial force
Radialrichtung ( f ) radial directionRadia n ( m ) , Radiant (m) radianradiar (a) radial
Radiarkomponente ( f ) radial compo-nent
Radik al (n) radicalRadikal achse (f) radical axis
Radik alfunktion ( f ) radical functionRa dikal grosse ( f ) radical ( qu an tity)
Radik alzentrum (n) radical center.
( c f . Potenzpunkt)Radikand (m) radicandRadius (m) radius
Radius vektor (m) radius vectorRadix ( f ) root
radiz ieren (vt) extract a root
Radizieren (n), Radiz ierung ( f ) ex-traction of a root, evolution
Radkurve (f), Radlinie (f) cycloidRand (m) border, boundary, frontier
Randbedingung ( f ) boundary condi-tion
randern (vt) borderRanderung ( f ) bordering (of a de-
terminant)Randintegr al (n) boundary integral
Rand kante (f) boundary edgeRandkurve (f) boundary curveRandlinie (f) boundary line
Randpunkt (m) boundary point
Randschjcht (f) boundary layer
Randstr ahl (m) boundary or periph-eral ray
Randteiler (m) boundary divisor
Randwert (m) boundary valueRandwertaufgabe (f) boundary value
problemRan dzon e (f) boundary region or zoneRang ( m) rank
Ra n gkorr el at ion (f) rank correlation
Ran gor dnung (f) rank orderingRastpolkege l (m) herpolhode coneRastpolkurve ( f ) herpolhoderational (a) rational
Rationalitat (f) rationality
Rationalitatsbereich (m) domain of
rationality
Rationalmachen (n), Rationalmachung(f) rationalization
Rationalzahl ( f ) rational numberrationalzahlig (a) rational
Raum ( m) spaceraumartig (a) space-likeRaumartigkeit (f) space resemblanceRaumausd e h nung (f) cubic expansion;
spatial dimensionRaumbild (n) three-dimensional view,
space im ageRaumdehnung (f) cubic dilatation or
expansion; spatial dimensionRaumdimension (f) space dimensionRaumelement (n) space elementraum f est (a) space-fixedRaumgeometrie ( f ) space geometry,
solid geometry, stereometryRaumgerade (f) line of space
Raumgitter (n) space grating or
lattice
Raumgruppe (f) space group
Rauminhalt (m) cubical contents,
volume; solid space
Raumintegral (n) volume integral
93
Raumkoordina te ( f ) space coordinateRaumkurve (f) space curve, skew or
twisted curveRaumkurvenbogen (m) arc of a skew
curveraumlich (a) spatial
Raumlich keit (f) spatiality
Raummass (n) cubic measureRaummeter (n) cubic meterRaummetrik ( f ) space metricsRaumpunkt (m) point of spaceRaumsektor (m) solid sector
Raumspirale ( f ) helixRaum teil (m) portion of spaceRaumtensor (m) space tensor
Raum vektor (m) space vectorRaumwinkel (m) solid angleRaum winkelmass (n) steradian or sphera-
dian m easu re
Raumze it (f) space-timeRaum zeit kontinuum (n) space-time
con tinuumRaumzeitpunkt (m) point of space-timeRaute (f), Rautenflache (f) rhombus,
diamondrautenflachig (a) rhombohedralRautenflachner (m) rhombohedronrautenfor mig (a) rhombic, diamond-
shapedreagibel (a) sensitive
reagier en (vi) reactReaktion ( f ) reactionrealisierbar (a) realizableRealisierung ( f ) realizationRealitat (f) reality
Realitatsfrage ( f ) question of reality
Realteil (m) real part
Rechenbild (n), Rechenblatt (n) nomo-gram, alignment chart
Rechenbrett (n) counting frameRechenfehler (m) computing error
Rechenformular (n) computational work-sheet
Rechengerat (n) computing machineRechengesetz (n) calculating rule
Rechenmaschine (f) computing machine,calcul ator
Rechenoperation (f) arithmeticaloperation
Rechenregel (f) rule of calculationor of arithmetic
Rechenschieber (m) slide ruleRechenstab (m) rule of a slide rule
Rechentabelle (f) mathematicaltable
Rechentaf el ( f ) abacus; nomogramRechentisch (m) abacusRechenvorteil (m) short cut in
arithmeticrechnen (vt, vi) compute, reckonRechnen (n) arithmetic r computing,
reckoningRechner (m) computerRechnung ( f ) calculation, compu-
tation
Rechnungsar t (f) operation of arith-
metic, algorithmRechnungskontrolle ( f ) computational
checkrechnungsmassig (a) numericalrechnungsm a ssig (adv) by compu-
tation, numericallyrecht (a) right, right-handRechte ( f ) right
Recht eck (n) rectangleRechteckdiagramm (n) bargraphrechteckig (a) rectangularRechter (m) right anglerechts (adv) on the right
Rech tansicht (f) right-side viewRechtsdr all ( m) right-handed twist
rechtsdrehend (a) dextro- rotary
rechtsgangig (a) right-handedrechtsg erichtet (a) right-handedRechtsgewinde (n.) right-handed
threadrechtsgewunden (a), right-handedRechtsideal (n) right ideal
Rechtsinverse (f) right inverse
rechts- links (a) right- to- left
Rechtslinksachse (f) right - to -left
axis
Rechtsmodul (m) right moduleRechtsmultiplikation ( f ) post-mul-
tiplication
Rechtsm ultiplikatorenbereich (m)right multiplicative domain
rechtsschief (a) negatively-skewrechtsseitig (a) right-hand, on the right
Rechtsspirale (f) right-hand spiral
Rechtssystem (n) dextrorse system
rechtssteil (a) negatively-skewrechtswendig (a) dextrorse
rechtwinklig (a) right-angled, ortho-
gonalRechtwinkligkeit (f) orthogonality,
rectangularity
94
reduktibel (a) reducibleReduktibilitat ( f ) reducibilityReduktion (f) reductionReduktionsformel (f) reduction formulaReduktionsmass -stab (m) reduced scaleReduktionsmethode (f) method of re-
ductionReduktionssatz (m) reduction theoremReduktionsziffer ( f ) coefficient of re-
ductionReduktonszirkel (m) proportional com-
pass
reduzibel (a) reducibleReduzibilitatsaxiom (n) axiom of redu-
cibility
Reduzibilitatskriterium (n) reducibility
criterion
re duzier bar ( a) reducibleReduzierbarkeit ( f ) reducibilityreduzieren (vt) reducereell ( a) real
reellabgeschlossen (a) real closedReelle (f) real (number)Reellitat ( f ) reality
ref lektier en (vt) reflectReflexion ( f ) reflection
Ref lexionsbedingung (f) condition for
reflection
Ref lexionsebene ( f ) plane of reflection
Reflexionsflache ( f ) reflecting surface
Ref lexionsprisma (n) reflecting prismr ef lexiv (a) reflexiveReflexivitat ( f ) reflexivity
Refraktion (f) refractionRefraktionskoeffizient (m) coefficient
or index of refractionRefr aktions winkel (m) angle of refrac-
tion
Regel ( f ) rule
Regeldetri ( f ) rule of threeRegelflache ( f ) ruled surfacer egellos (a) randomReg ellosigkeit (f) randomnessr egelmassig (a) regular
Regelm assigkeit ( f ) regularity
regelrecht (a) normalRegelschar (f) regulus
Regress ion (f) regressionRegressionsgleichung ( f ) regression
equationRegressionskoeff izient (m) coeffi-
cient of regressionRegressionslinie ( f ) line of regres-
sion
regress iv (a) regressiveregular (a) regular; (cryst.) iso-
metric, regular, tesseral
Regularita t (f) regularityRegularitatsannahme ( f ) assumption
of regularity
Regularitatsbereich (m) region of
regularity
Regularitatsellipse (f) ellipse ofregularity
Regularitatsgebiet (n) region of re-
gularity
Regularitatsintervall (n) interval of
regularity
Regularitatsstreifen (m) regularity
strip
Regularitatsintervall (n) (f) hypoth-esis of regularity
Reibung (f) friction
Reibungskoeffizient (m) coefficientof friction
Reichweite ( f ) rangeReihe ( f ) series
Reihenabschnitt (m) segment of a
series, partial series
Reihenfolge ( f ) order, ordering,
succession r sequenceReihenformel (f) series formulaReihengestalt ( f ) form of a statis-
tical distribution
Reihenindex (m) row indexReihenmatrix (f) row matrixRe ihentrans formation (f) series trans
formationReihenumfang ( m) size of a statis-
tical distribution
rein (a) pureReinertrag (m) net proceedsReingewinn (m) net profit
reinperiodisch (a) purely periodicReissbrett (n) drawing boardReissdreieck (n) drawing triangle, set
squareReissfeder ( f ) drawing pen
Reiss -schie ne (f ) T-squareReisszeug (n) drafting set
Reisszirkel (m) bow compassRektaszension ( f ) right ascensionRektifikation (f) rectificationrektifizierbar (a) rectifiable
Rektifizierbarkeit ( f ) rectifiability
rektifizieren (vt) rectify
Rektifizierung ( f ) rectification
rekurrent (a) recurrent
95
Rekurrenzfolge (f) recurrent sequenceRekurrenzreihe (f) recurrent series
rekurrierend (a) recursive
Rekursion ( f ) recurrence, recursion
Rekursionsformel (f) recurrence or
recursive formularekursi y (a) recursiveRekursivf orm el (f) recurrence or recur-
sive formularelativ (a) relative
Relativbewegung (f) relative motionRelativgeschwindigkeit (f) relative
speed or velocityRelativismus (m) relativismrel ativistisch (a) relativistic
Relativitat (f) relativity
Relativitatsglied (n) relativity termRelativitatskorrektion, Relativitatskor -
rektur (f) relativity correctionRelativitatstheorie (f) theory of rela-
tivity
Relativlage ( f ) relative position
Rencontr espiel (n) game of rencontreRente ( f ) annuityRentenformel ( f ) annuity formulaRentenr echnung (f) calculation of an-
nuities
Rentner (m) annuitantReprasentant (m) representativeReprasentantensystem (n) system of re-
pres entativesResidualgruppe (f) residual groupResidualschar ( f ) residual familyResiduenbil dung ( f ) residue formationResiduum (n) residueRe solvent e (f) resolventResonanz ( f ) resonanceResonanzber eich (m) resonance rangeResonanzkurve (f) resonance curveResonanzspektrum (n) resonance spec-
trumresonieren (vi) resonateRest (m) difference, remainder; residueRestcharakter (m) residue character
Restgleichung ( f ) remaining equationRestglied (n) remainder (of a series)
Restklasse (f) residue class, coset
Restklassenf olge ( f ) residue class se-
quenceRestklassengruppe (f) residue class group
Restkl assenmodul (m) residue class mod-ule
Restklassenkorper (m) residue class field
Restklassenprobe (f) casting out
Restklassenring (m) residue class
ring
Restkurve ( f ) residue curve
Restsatz (m) residue theoremRestschwankung (f) residual fluctu-
ation
Restteil (m) remaining part
Resultante (f) resultant
Resultantensystem (n) resultant
systemResulta t (n) result
resultieren (vi) result
resul tierend (a) resultant
Resul tierende (f) resultant
retar dieren (vt) retard
Retardierung (f) retardation
rever sibel (a) reversible
Reversibilitat ( f ) reversibility
r eversierbar (a) reversible
rever sier en ( vt) reverse
reziprok (a) reciprocalReziproke(s) (n) re-ciprocal
Reziprozitat (f) reciprocity, recipro-
cationrheonom (a) rheonomicRho (n) Greek letter rho (P,p)Rhombendodekaeder (n) rhombic do-
decahedronrhombisch (a) rhombicRhomboeder (n) rhombohedronrhomboedrisch (a) rhombohedralRhomboid (n) rhomboidrhomboidisch (a) rhomboid(al)Rhombus (rn) rhomb, rhombusRhumblinie ( f ) rhumb(line)Ri chtebene (f) direction planerichtig (a) correct, right, true;
normalRichtigkeit ( f ) correctness, truth
Richtung (f) direction, sense; trend
Richt ungsabstand (m) distance of
direction (line)
Richtungs koef fizient (m) slope (of
a line)
Richtu ngskosinus (m) direction cosine
Richtungs krummung (f) direction
curvaturerichtungslos (a) directionless
Richtungspaar (n) pair of directions
Richtungspunkt (m) point of direction
Richtungssinn (m) directional sense,
orientationRichtungsiibertragung (f) transfer of
direction
96
Richtungsunterschied (m) difference in
direction
Richtungswinkel (m) direction angle,slope
Riemann ( N) Riemanns kanonischeKoor dinaten: Riemann's canonicalcoordinates, normal coordinates
Riess (n) ream (of paper)Ring (m) ring; annulusRingber eich (m) ring domainRingflache (f) ring surface, anchor
ring, torus
Ringform ( f ) ring shaperingformig (a) ring-shaped, annular,
toroidal
Ringkurve (f) ring curveRingweg (m) cycleRisiko (n) risk
Risikofunktion ( f ) risk functionRiss (m) projection, viewroh (a) crude, roughRohre (f) tube, pipe
Rohrenflache (f) tubular surfacerohrenformig (a) tubularRollbewegung ( f ) rolling motionRolle (?) pulleyrol len (vi) roll
Rollflache (f) rolled surface, roulettesurface
Rollkur ve ( f ) rouletteromisch (a) RomanRosenkurve (f) rhodoneaRostpendel (n) gridiron pendulumRotation (f) revolution, rotation
Rotationen-Komplex (m) complex of
rotations
Rotations achse (f) axis of revolution or
rotationRotations analyse ( f ) rotational analysisRotations anteil (m) rotational contri-
butionRotationsbestandteil (m) rotational com
ponentRotationsbewegung (f) rotary motionRotationsellipsoid (n) ellipsoid of re-
volution, spheroidRo tationsflache (f) surface of revolu-
tion
rotationsfrei (a) irrotationalRotationshyperboloid (n) hyperboloid
of revolutionrotationsinvariant (a) rotation-invari-
ant
Rotationskegel (m) cone of revolution
Rotationskorper (m) solid or bodyof revolution
Rotationsparaboloid (n) paraboloidof revolution
Rotationsrichtung (f) direction of
revolution or rotationRotationssinn (m) sense of revolution
or rotation
Rotationssymmetrie (f) rotationalsymmetry
Rotationszylinder (m) cylinder of
revolutionRotor (m) curl (of a vector func-
tion)Roulette (f) rouletteRuckansicht ( f ) rear viewriickbezuglich (a) reflexiveRuckbezuglichkeit ( f ) reflexivity
Ruckflache (f) back faceRuckkehr ( f ) regression
Ruckkehrflachpunkt (m) cuspidalpoint of undulation
Ruckkehrkante ( f ) edge of regression,
cuspidal edgeRuckkehrkegelschnitt (m) cuspidal
conic ( of surface)
Riickkehrkurve (f) Guspidal curve(of surface)
Ruckkehrpunkt (m) cuspidal or
stationary point, cuspRuckkehrschnitt (m) closed cut (of
a surface)
Ruckkehrschnittpaar (m) pair of
closed cuts (of a surface)
Riickkehrspitze (f) cusp (usually of
higher order)
Ruckkehrtangente ( f ) cuspidal tan-
gent
Ruckkehrtorse ( f ) cuspidal torse
rucklaufig (a) retrogradeRucklaufigkeit ( f ) retrograde
motionRilckstr ahlung ( f ) reflection
Ruckversicherung (f) reinsurance
Ruhe ( f ) rest
Ruhelage ( f ) equilibrium position
ruhend (a) static, stationary
Rumpf (m) frustumRute (f) rod
Sach verhalt (m) circumstances, re
lation, state of affairs
Sachversicherung ( f ) property in-
surance
97
Sagezahnkurve (f) saw-tooth curveSaisonausschlag (m) seasonal deviationSaisonbereinigung ( f ) adjustment for
seasonal variation
Saisonindex (m) seasonal indexSaisonsch wankung (f) seasonal fluctu-
ation
Saisonzif f er (f) seasonal indexsakular (a) secularSakularbewegung (f) secular trendSakular gl eichun g (f) secular equationSakular variation (f) secular variationSakulum (n) centurySandrechnung (f ) sand reckoningS atellit (m) satellite
Sattel flache ( f ) saddle surface, hyper-bolic paraboloid
sattel formig (a) s addle -shapedSattelpunkt (m) saddle point, hyper-
bolic pointSatz (m) sentence; law, proposition,
theoremSatzf unktion (f) sentential functionSaule ( f ) column, prism; (statist.) bar
Saulendiagramm (n) bar graphSaumung (f) bordering (of determinant)schachteln (vt) nest
Schach telung (f) nest, nestingSchale ( f ) nappe, sheetSchall (m) soundSchallgeschwindigkeit (f) velocity of
soundSchar ( f ) familySchargerade (f) member of a family of
lines
Scharparameter (m) family parameterSchatten (m) shade, shadowSchattengrenze (f) shade line, shadow
boundarySchattenkegel (m) shadow coneschatze n (vt) appraise, estimateSchatzung (f) appraisal, estimatesch atzungsweise (a) approximateSchaubild (n) diagram, graphSchauloch (n) dial (of a computing
machine
)
Scheff el (m) bushelScheibe ( f ) disc; plane leaf (of Rie-
mann surface)scheinb ar (a) apparentScheinkorrelation (f) spurious cor-
rel at ion
Scheinkraft ( f ) fictitious force,
pseudo-force
Scheinperiodizitat ( f ) spurious
periodicity
Scheitel ( m) apse, vertex; angularpoint (of perspective), mode (of
frequency curve), zenith (of
horizon)Scheitelabs chnitt (m) distance from
the vertex of an angle to a pointon its side
Scheitelabstand (m) zenith distanceScheitelf lache (f) top or upper sur-
face, apical surfaceScheitelkreis (m) auxiliary circle
of conicScheitelpunkt (m) = ScheitelScheiteltangente ( f ) vertex tangentScheitelwert (m) maximum or peak
value; mode(of the frequencyfunction)
Scheitel winkel (m) vertical angle,
vertically opposite angleScheitelwinkelfeld (n ) field of
vertica 1 angleSchema (n) array, diagram, pattern,
schemaschematisch (a) schematicSchenkel (m) side of an angle, leg
of a pair of compasses or divi-
ders
Schicht ( f ) layer, stratumSchichtbildung (f) lamination, stra-
tification
schichten (vt) laminate, stratify
schichtig (a) laminatedSchichtlinle (f ) line of level, con-
tour line
schieben (vt) push, moveSchiebfl ache ( f ) transl ation surface
Schiebgeschwindigkeit ( f ) transla-
tory velocitySchiebung (f) pushing, sliding;
shearingSchiebungsf lache (f) slip planeschief (a) oblique, skewSchiefabschnitt (m) oblique sec-
tion
schiefachsig (a) oblique axial
Schiefe (f) obliquity, skewness;
(statist.) allokurtosis
Schiefeinfall (m) oblique incidenceSchiefendflache ( f ) basal pinacoid in
monoclinic and triclinic systems
Schiefheit ( f ) obliquity, slant
98
s chiefkomplex (a) skew complex,bicomplex
Schief korper (m) skew field
Schiefstellung (f) inclined position
Schiefs ymm etrie (f) skew symmetryschiefsymmetrisch (a) skew-symmetric,
an tis ym metricschiefwinklig (a) oblique (-angled)
Schiene (f) blade (of a T-Square)schlagen (vt) strike; describe (a circle)
Schlagsch atten (m) cast shadowschlangeln (vr) wind, meanderSchlangeh kurve (f), Schlangenlinie ( f
)
serpentine (line)
Schleif e (f) loop (of a curve)
Schleifenkonstruktion (f) loop con-struction
Schleppkur ve (f) tractrix
schliessen (vt) close; enclose, include,
involve; (log.) conclude, infer
Schlinge (f) loop (of a curve)
Schlitten (m) carriage (of a computingmachine)
Schluss (m) end, conclusion; (log.)
s yllogismSchlussart (f) kind of syllogism
Schluss differenz ( f ) final difference
schluss eln (vt) codeSchluss elun g (f) codingSchlvisselzahl ( f ) code numberSchlussfigur (f) figure of inference,
syl logismSchlussgleichung (f) final equationSchluss-satz (m) conclusion of a syl-
logismSchluss-schema (n) rule of implication
Schlusstafel (f) ultimate table
Schluss weise (f) method of reasoning;
kind of syllogismschmal (a) narrowSchmalheit ( f ) narrownessSchmalseit e (f) edge, endSchmalseitenansicht ( f ) edge view, end
viewSchmieg (prefix) osculatingschmiegen (vt, vr) hug, osculate
Schmiegspirale ( f ) osculating spiral
Schmiegs treif en (m) osculating strip
Schmiegt angente ( f ) osculating tangent
Schmiegtangentenkurve ( f ) osculating
tangent curve, asymptotic curveSchmiegtangentenlinie ( f ) osculating
tangent line, asymptotic line
Schmiegu ng ( f ) osculation
Schmiegungsebene ( f ) osculating plane
Schmiegungskreis (m) osculatingcir cl
e
Schmiegungskugel ( f ) osculatingsphere
Schnabel (m), Schn abelpunkt (m),Schnabelspltz e (f) cusp of the
second kind, rhamphoid cusp
schnabelfbr mig (a) rhamphoidSchnecke ( f ) limaconSchnec kenhauslinie (f) cochleoidSchneckenlinie (f) spiral, helix
schneiden (vt, vr, v. recip.) cut,
intersect
schneidend (a) intersecting, secantSchnelligkeit ( f ) rapidity, speedSchnitt (m) cut, section, intersec-
tion
Schnittebene (f) intersecting plane,
secant planeSchnitteigenschaft ( f ) property of
cuts, intersection propertySchnittflache ( f ) surface of intersec-
tion
Schnittgerade (f) line of intersec-
tion
Schnitt kurve (f) curve of intersec-
tion
Schnittlinie (f) line of intersec-
tion
Schnittpunkt (m) point of intersec-
tion
Schnittpunktsabszisse (f) abscissa
of point of intersection
Schnittpunktsabszissengleichung (f)
equation for abscissas of points
of intersectionSchnittpunktsmultiplizitat ( f ) mul-
tiplicity of intersection point
Schnittraum (m) area or space of
intersection
Schnittwinkel (m) angle of inter-
sectionSchnittzahl ( f ) intersection numberschraff ieren (vt) hatch, shadeSchraffierung ( f ) hatching, shading
s
c
hrag (a) obliqueSchragansicht ( f ) oblique viewSchrageinfall (m) oblique incidence
s c h r a g g e stellt (a) tilted
Schragperspektive ( f ) oblique per-
spectiveSchra gschnitt (m) oblique section
Schrags tellung (f) inclination
Schrags trahl (m) skew ray
99
Schranke ( f ) boundSchraube ( f ) screwschrauben (vt, vr) screwSchraubenachse (f) screw axis
schraubenartig (a) helicoidalSchraub enbewegung ( f ) screw or screw-
ing motionSchraubenflache ( f ) screw surface, heli-
coidschraubenfo'rm ig (a) screw-shaped, heli-
coidal
Schraubengang (m) flight or turn of a
screwSchraubengewinde ( f ) screw threadSchraubenhohe (f) pitch of screw or
helix
Schraubenkurve (f) cochleoidSchraubenlehre (f) micrometer calipers
Schraubenlinie (f) helix
Schraubenumgang (m) turn of screw or
helix
Schraubenwindung ( f ) turn of a screw,
screw thread
Schraubenwinkel (m) helix angleschraubig (a) helical, twistedSchraublehre (f) micrometer or screw
gaugeSchraubung ( f ) screwing motionschreiben (vt, vi) write
Schreibtafel ( f ) blackboardSchreibweise (f) way of writing, notationSchrift ( f ) writing. S. oder Wappen,
Kopf oder S.: heads or tails
Schriftzeichen (n) notation, symbolSchritt (m) step
schrittweise (a) step by step.
Si Naherung: successive approxi-mation
schrumpfen (vi) shrink
Schrumpfung (f) shrinkage, shrinkingSchub (m) push, thrust; shear
Schublehre (f) slide caliper or gaugeSchubmodul (m) modulus of shear or
thrust
Schubspannung (f) shear stress
Schussbahn ( f ) ballistic curve, trajec-
tory
sch wach (a) weakschwachabnehmend (a) weakly decreas-
ing
schwach-homolog (a) weakly homolo-gous
schwanken (vi) fluctuate, oscillate
Schwankung ( f ) fluctuation, oscillation,
variation
Schwankungsmass (n) measure of
dispersion or variation, standarddeviation
Schwere (f) gravity, gravitationSchwereanziehung ( f ) gravitational
attra ction
Schwerebeschleunigung ( f ) accele-ration of gravity
Schwerefeld (n) gravitational field
Schwerefeldstarke ( f ) strength of
gravitational field
Schwerekonstante (f) gravitationalconstant
Schwer etheorie (f) theory of gravi-
tation
Schwerkraft ( f ) force of gravity
Schwerlinie ( f ) centroidal axis;
median (of a triangle)
Schwerpunkt (m) center of gravity,
center of mass, centroid
Schwerpunktbestimmung ( f ) deter-
mination of the center of gravitySchwerpunktsabstand (m) distance of
the centroid
Schwerpunktsabszisse ( f ) abscissa of
the centroidSchwerpunktskoordinaten ( f pi ) co-
ordinates of the centroidSchwerpunktskurve ( f ) locus-curve
of the centers of gravity,
centrodeSchwerpunktslage (f) location or
position of the centroidSchwerpunktsordinate ( f ) ordinate
of the centroidsch wingen (vi) oscillate, vibrate,
swingSchwingung ( f ) oscillation, vibra-
tion, swingSchwingungsamplitude ( f ) amplitude
of swing or vibration
Schwingungsbewegung (f) vibratory
motionSchwingungsbogen (m) arc of vi-
bration
Schwingungsdauer (f) vibration
periodSchwingungsdiff erenz (f) vibration
differenceSchwingungsebene ( f ) plane of os-
cillation or vibration
Schwingungsellipse ( f ) ellipse of
oscillation or vibration
Schwingungsform (f) form or mode of
oscillation or vibration
100
Schwingungsgleichung ( f ) equation of
oscillation
Schwingungsrichtung ( f ) oscillation
direction
Schwingungsweite (f) amplitude of
swing or vibration
Schwingungszahl ( f ) number of oscil-
lations
Schwingungszeit ( f ) time or period of
vibrationSchwungellipsoid (n) ellipsoid of gyra-
tion or oscillation
Scrolarlinie (f) scrolar line
secans (m) secant, s . von x: sec x
secans hyperbolicus (m) hyperbolicsecant, s. h. von x: sech x
sechs six
Sechs ( f ) six
Sechseck ( n) hexagonsechseckig (a) hexagonalSechser (m) (figure) six
Sechser vektor (m) six-vectorsechs fach (a) sextuple, sixfold
Sechsflach (n) hexahedron, cubesechsflachig (a) hexahedralSechsflachner (m) hexahedron, cubesechshunde rt six hundredsechsmal six timessechsmalig (a) six timessechsseitig (a) six-sided, hexagonalsechsstern (m) hexagramsechst sixth
Sechstel (n) one-sixthsechs tens (adv) sixthly
sechswinklig (a) hexangularsechszahlig (adv) sextuple, sixfold;
hexagonal (symmetry)s echzehn sixteensechzig sixty
sechzigst sixtieth
Seekarte ( f ) hydrographic mapSeemeile ( f ) nautical mileSehlinie (f) line of sight
Sehne (f) chordSehnenformel ( f ) trigonometric formula
for the chord of a circle
Sehnenmittenflache (f) locus-surface
of centers of chords of a spacecurve
Sehn ensechs eck (n) inscribed hexagon(of a conic)
Sehnen viereck (n) quadrilateral in-
scribed in a circle
Sehstrahl (m) visual ray, line of sight
Sehwinkel (m) visual angleSeileck (n), Seilpoly gon (n) funic-
ular or link polygonSeinszeichen (n) existential quan-
tifier
Seite (f) side
Seitenabschnitt (m) intercept or seg-
ment of a side
Seitenabweichung (f) lateral devi-ation
Seitenansicht ( f) side viewSeitenbewegung ( f ) lateral move-
mentSeitenf lache (f) lateral area or sur-
face, face (of a polyhedron)Seitenhalbierende ( f ) median (of
a triangle)
Seitenhohe (f) slant heightSeitenkante ( f ) lateral edgeSeitenkrummung (f) side curvatureSeitenlinie ( f ) element of a ruled
surfaceSeitenpaar (n) pair of sides
Seite nprojektion (f) side viewSeitenprojektionsebene ( f ) profile
planeSeitenrichtung ( f ) lateral direction
Seitenriss (m) side viewSeitenrissebene ( f ) profile planeSeitenteil (m) lateral portion, side
part
Seitenver grosserung (f) lateral mag-nification
Seitenverschiebung (f) lateral or
side displacementSeitenzahl ( f ) number of sides or
faces
seitlich (a) lateral, side
seitwart s (adv) laterally, sidewaysSeitwartsbewegung ( f ) lateral move-
mentSekans (m) = secans
Sekanslinie ( f ) secant curve
Sekante ( f ) secant, intersecting
line; secant (of an angle) = se-
cans
Sekantenlinie ( f ) secant curveSekantenr eihe ( f ) secant series
Sekantensatz (m) theorem of the
product of a secant (to a circle)
and its external segmentSekanten-Zahl ( f ) Euler or secant
numberSektor (m) sector
101
Sektorendiagramm (n) circular or pie
chart
sekundar (a) secondarySekunde (f) secondSekunden pendel (n) seconds pendulumSekundenzeiger (m) seconds handSelbs tabbildung ( f ) self-mappingselbs tadjungiert (a) self-adjoint
Selbstberiihrungspunkt (m) point of
sel f- contact, node of second kind,
tacnode, double cusp
S elbstberiihrungs tangente ( f) tangent at
point of self-contactsel bstin vers (a) self-inverseSelbs ts ch att en (m) shadeSelbs tschattengrenze ( f ) shade line
Selbsts chnitt (m) self-intersection.S. einer Kurve; double point of a
curveSelbstschnittkurve ( f ) curve with double
point
Selektion ( f ) selectionSel ektionsp eriode (f) period of selec-
tion
Selektionssterbetafel ( f ), Selektions-taf el ( f ) select life table
Selekt ivitat (f) selectivitySemantik ( f ) semanticssem antisch (a) semanticalsemidefinit (a) semidefinitesem iin variant (a) seminvariantSemiin variante (f) seminvariantsemikon vergen t (a) sem icon vergentsemikonvergierend (a) s emicon vergingsemiko variant (a) s emico variantSemiko variante (f) se mico variantsemikubisch (a) semicubicalSemiotik ( f ) semioticsSemiparabel (f) semiparabolasemiregular (a) semiregularSenke (f) sink
senken (vt) drop, lower, sink; (vr) drop,
slope
Senkenstromung ( f ) sink flowsenkr echt (a) normal, perpendicular,
verticalSenkrechte (f) normal or perpendicular
(line)
Senkrechtstehen (n) perpendicularitySenkrechtstellung (f) vertical positionSenkung (f) drop, sag, slopeSenkungs winkel (m) depression anglesepar abel (a) separableSeparabilitat (f) separability
Separations variable ( f ) separationvariable
separierbar (a) separableSeparierbarkeit (f) separabilitysepar ieren (vt) separate
Septillion (f) tredecillion (in
America), septillion (in Britain)
Sequenzanalys e (f) sequential anal-ysis
Serie (f) series, sequenceSerienentwicklung ( f ) series expan-
sion
Serienspektrum (n) series spectrumSerpentine ( f ) hairpin bend or curve,
serpentinesetzen (vt) set, posit
Setzung (f) postulationSextillion (f) undecillion (in Amer-
ica), sextillion (in Britain)
Sextilschein (m) sextile aspectSextupel (n) sextupleSichel ( f ) crescent, lunesichelformig (a) crescent-shapedsicher (a) certainSicherheit (f) certainty
sichtbar (a) visible
Sichtbarkeit ( f ) visibility
Sichtbereich (m) range of visibility
Sichtf eld ( n) field of vision
Sichtweite ( f ) visual rangeSider alzeit (f) sidereal timesider isch (a) sidereal
Sieb ( n) sieve
sieben sevenSieben ( f ) sevenSiebeneck (n) heptagonsiebeneckig (a) heptagonal
Siebener (m) figure sevensiebenfach (a) sevenfoldsiebenfaltig (a) sevenfoldsiebenhundert seven hundredsiebenhundertst seven-hundredthsiebenmal seven timessiebenmalig (a) seven times
siebenseitig (a) seven-sided, hep-tagonal
siebent seventhSiebentel (n) one-seventhsiebentens (adv) seventhlysiebenz ahlig (a) sevenfoldsiebzehn seventeenSiebzehneck (n) polygon of seven-
teen sides
siebzig seventy
102
siebzigs t seventiethSiedepunkt (m) boiling point
Sigma (n) Greek letter sigma (E,o, 9)
Signatur (f) signature
signieren (vt) code, markSignierung (f) coding, marking, signa-
tion
Simplex (n) simplexSimplexzerlegung (f) simplex decom-
positionsimplizial (a) simplicialSimplizialzerlegung ( f ) simplicial de-
compositionsimultan (a) simultaneousSimultangleichungen ( f pi ) simultaneous
equationsSingular (m) singular
singular (a) singularsingularit atsfrei (a) free from singu-
larities, nonsingularSingularitats-Kana l (m) singularity
canalsinken (vi) fall, sink
Sinn (m) sense; direction, meaning,significance
Sinnbild (n) symbolsinnl os (a) absurd, meaninglessSinnlosigkeit (f) absurdity, meaning-
lessness
sinnvoll (a) meaningfulSinoidaldiagramm (n) sinusoidal
diagramSinus , sinus (m) sine. S von x:
sin x
Sinusbedingun g ( f ) sine conditionSinusf eld (n) sinussoidal field
sinusformig (a) sinusoidal
Sinusfunktion ( f ) sine function
Sinusglied (n) sine termsinus hyperbolicu s (m) hyperbolic sine.
s. h. von x: sinh x
Sinuskurve (f), S inuslinie ( f ) sine
curveSinuslinienprojektion (f) sinusoidal
proj ectionsinuslinig (a) sinusoidal
Sinus cide ( f ) sinusoid
Sinusreihe (f) sine series
Sinussatz (m) law of sines
Sinusschwingung (f) sinusoidal oscil-
lation
Sinusspirale (f) sinusoidal spiral
Sinustafel (f) table of sines
sinus versus = Sinusversus
Sinusversus (m) versed sine, versine.
S. von x; vers x
Sinuswelle (f) sine waveSituationskalku l (m) analysis situs
Skala (f) scale, graduationskalar (a) scalar
Skalar (m) scalar
Skalarfeld (n) scalar field
Skalargrosse ( f ) scalar quantitySkalarmultiplikation ( f ) scalar
multiplicationSkalarprodukt (n) scalar product,
direct or dot or inner productSkalenablesung ( f ) scale readingSkalenbogen (m) graduated arc
Skaleneinteilung (f) scale gradu-ation
Skalenlehre ( f ) scale gaugeSkalenoeder (n) scalenohedronSkalenteilung ( f ) scale graduationSkalentrans formation ( f ) change in
scale
Skizze ( f ) sketchskizzieren (vt) sketch
skleronom (a) scleronomic, rigid
Skrolarlinie (f) scrolar line
Skrupel (m) scruple
Solarjahr (n) solar year
Solarkonstante ( f ) solar constant
Solstitium (n) solstice
Sommersonnenwende ( f ) summer sol-
stice
Sonne (f) sun
Sonnenaufgang (m) sunrise
Sonnenbahn ( f ) orbit or path of
the sun
Sonnenferne ( f ) aphehionSonnenfinsternis ( f ) solar eclipse
Sonnenhalbmesser (m) sun's radius
Sonnennahe ( f ) perihelion
Sonnentag (m) solar day
Sonnenuhr (f) sundial
Sonnenuntergang (m) sunset
Sonnenwende (f) solstice
Sonnenwendpunkt (m) solstitial point
Sonnenzeit ( f ) solar timeSonnenzy klus (m) solar cycle
Sortiermachine (f) sorting machineSozialstatistik ( f ) social statistics
Spalt (m) gap, split, slot
Spalte (f) columnspalten (vt, vr) split
Spaltenmatrix ( f ) column matrix
Spannbreite ( f ) span
103
Spanne ( f ) width of a hand, span;
int er val, rangespannen (vt) span, stretch
Spannung ( f ) stress, tension; (elec.)
voltageSpannweite ( f ) span; interval, rangeSpat (m) parallelepipedSpektralanalyse ( f ) spectral or spec-
trum analysis
Spektraldarstellung (f) spectral repre-
sentation
Spektralber eich (m) spectral rangeSpek tralf ormel (f) spectral formulaSp ektralfrequenz (f) spectral frequencySpek tralgebiet (n) spectral rangeSpektrallinie (f) spectral line
Spektralm enge ( f ) spectral set
Spektralmultiplizit'at (f) spectral
mu ltiplicity
Spektraloperator (m) spectral operator
Sp ektralr eihe ( f ) spectral series
Sp ek tralschar ( f ) spectral familySpektralschwerpunkt (m) spectral ceti"
troid
Spektralserie (f) spectral series
Spektralsyst em (n) spectral systemSpektraltheorie (f) spectral theory
Spektral verschiebung ( f ) spectral shift
Spektralzerlegung ( f ) spectral decom-position
Spektrum (n) spectrumS pezial fall (m) special case
Spezialfamilie ( f ) special familyspezialisi er en (vi) specializespezi al isiert (a) specializedSp ez ial it at ( f ) specialtySpezialitatsindex (m) specialty indexSp ez ial kurve (f) special curveSpezialschar (f) special familysp ez jel l (a) special; particular, properSpez ies (f) fundamental operation of
ari th meticspezifisch (a) specificSphare ( f ) spheresph ar isch (a) spherical, spharischer Ke
gelschnitt: sphero-conicSpharoid (n) oblate spheroidsphenoidal (a) sphenoidSpiegel (m) mirrorSpiegelbild ( n) mirror im age, reflection
spiegelgleich (a) mirror-symmetricSpiegel gleichheit (f) mirror sym -
metryspiegeln (vt, vi, vr) reflect, mir-
ror
Spiegelung (f) reflection
spiegel verkehrt (a) mirror- inverted
Spiel (n) gameSpieldauer (f) duration of gameSpielraum (m) free play; margin of
error, toleranceSpielraumtheorie (f) theory of free
ranges
Spinnlinie (f) clothoid, spiral of
CornuSpiralbahn (f) spiral orbit or path
Spirale ( f ) spiral
Spiralf lache ( f ) spiral surface
spiralformig, spiralig (a) spiral,
helical
Spiralkurve ( f ) spiral curve
Spirallange ( f ) length of spiral
spirisch (a) spire, spiral
spitz (a) acute; pointed, sharp
Spitzbogenkurve ( f ) cumulativefrequency curve, ogive
Spitze (f) cuspidal or stationary
point, cusp, spinode; apex, ver-
tex; point of compasses or divi-
ders
Spitzentangente ( f ) cuspidal tangent
Spitzenzirkel (m) dividers
spitzig (a) po"inted
Spitzparabel (f) cuspidal or cusped
parabolaSpitzpunkt (m) cuspidal point
Spitzpunktparabel (f) = cuspidal or
cusped parabolaspitzwinkelig (a) acute (angled)
Sprechweise (f) parlanceSprung (m) jump, discontinuity
Sprungflache (f) surface of discon-
tinuity
Sprungfunktion (f) step function
sprunghaft (a) discontinuous, dis-
crete
Sprunghaftigkeit (f) discontinuity
Sprungstelle ( f ) point of discon-
tinui ty
Sprungweite ( f ) amount or extent
of jump or discontinuity
Spur ( f ) trace
Spurlinie ( f ) trace of a plane
Spurpunkt (m) piercing point, trace
Stabdiagramm ( n) bar chart or graph
stabil (a) stable
Stabilitat ( f ) stability
Stabilitatskurve ( f ) , Stabilitatslinie
(f) stability curve
Staffel ( f ) scale
104
Staff elbil d (n), S taf feldiagram m (n)
staircase polygon, histogramStammbru ch (m) unit fraction
Stammfun ktion (f) stem functionStammkorper (m) stem field
Standardabweichung (f) standard de-viation
Standardziffer ( f ) standard or correctedrate
standig (a) permanent, constant, con-tinuous
Stangenzir kel ( m) beam compassstark (a) strong, intense
Starke (f) strength, intensity
stark-homolog (a) strongly homologousstarr (a) rigid, solid
Starre (f) rigidity, solidity
Starrheit (f) rigidity
Statik (f) statics
stationar (a) stationary
statisch (a) static
Statistik (f) statistics
Sta tistiker (m) statistician
sta tistisch (a) statistical
Stechzirkel (m) dividers
stehend (a) standing, stationary
Steigbiigel (m) stirrup; curvilinear
circuit consisting of a double point
and two cusps
steigen (vi) ascend, increaseSteigung (f) ascent, pitch of a screw or
helix
Steigungsmass (n) gradient, slope
Steigwinkel (m), S teigungsw inkel (m)angle of elevation or slope; helix
anglesteil ( a) steep
Steilheit ( f ) steepness, slope; kurtosis
(of a frequency curve)
Steiner ( N ) Steinersche Flache:
Steiner's quartic surface.
Steinersche Kernkurve; Steiner's
nuclear curve (of polarity),
Steinerian curveStelle (f) place, point; digit
Stell enwert (m) place or local value
Stellenwertmaschine ( f ) digital com-puter
Stellenwertziffer (f) place digit
Stellenzeiger (m) index
Stellung (f) position
Stengelkristall (m) columnar crystal
Ster (m) stere
Sterbetafel ( f ) mortality table
Sterblichke.it (f) mortalitySterblichkeitstabelle (f), Sterblich
keitstafel ( f ) mortality tableSterblichkeitsziffe r' (f) mortality or
death rate
stereographisch (a) st er eogr aphicStereometrie (f) solid geometry,
stereometrystereometrisch (a) stereometricStereos kopbild (n) stereographstereos kopisch (a) stereoscopicStereoskopzeichnung ( f ) stereographStern (m) star
Sternbedeckung (f) occultation of
a star
Sternfigur ( f ) star polygonSternfl achner (m) star polyhedronsternformig (a) star-shaped, starlike
Sterngrosse ( f ) star magnitudeSternj ahr (n) sidereal year
Sternkarte (f) star mapSternkorper. (m) starlike solid, star
polyhedronSternkurve (f) four-cusped hypo-
cycloidSternpoly eder (n) star polyhedronSternpoly gon (n) star polygonStern vieleck (n) star polygonSternvielflach (n), Sternvielflach-
ner (m) star polyhedronSternzeit ( f ) sidereal timestetig (a) continuous; continued,
steadyStetigkeit ( f ) continuity
Stetigkeitsannahme (f) hypothesis of
continuityStetigkeitsaxiom (n) axiom of con-
tinuity
Stetigkeitsbedingung ( f ) condition
for continuityStetigkeitsbegriff (m) concept of
continuityStetigkeitsmodul (m) modulus of
continuityStetigkeitsprinzip (n) principle of
continuityStichprobe (f) spot test; random
sampleStichprobenerhebung ( f ) samplingStichprobenmasszahl ( f ) statistic
Stichprobenmittel (n) sample meanStichzeit (f) critical timestillsch weigend (a) tacit
Stillstand (m) standstill
105
Stillstandsebene ( f ) stationary planeStlllstandserzeugende (f) stationary
generatorSti llstandsl inie (f) stationary line
Stillstandspun kt (m) stationary pointSti llstandstangente (f) stationary tan-
gentStillstandsta ngentenebene (f) station-
ary tangent planestimmen (vi) checkStirnansicht ( f ) front viewStirnflache ( f ) frontal surfaceS toch as tik (f) stochastics
stoch as tis ch (a) stochasticStorchschnabel (m) pantographstoren (vt) disturb, interfere, perturbStorung (f) disturbance, interference,
perturbationStorungsfunktion (f) disturbing func-
tion
Storungsgleichung ( f ) perturbationequation
Storungsglied ( n) interference or per-turbation term
Storungsmatrix (f) perturbation matrixStorungsmethode (f) perturbation
methodStorungsrechnung (f) calculus of per-
turbations
Storungss telle ( f ) point of disturbanceStbrungstheorie ( f ) perturbation theoryStoru ngsz en tru m (n) center of dis-
turbanceStoss (m) collision, impact, push,
thrus t
stossen (vt) impinge, push, thrust
Stosszahl ( f ) number of collisions
Str ah 1 (m) line, ray;(phys.) beam, ray
strahlen (vi) radiate
Strahlenablenkung (f) ray deflection or
deviationStrahlenbrechung (f) refraction
Str ahlenbundel (n) bundle of lines,
sheaf or star of lines; (phys.) beamor bundle of rays
Strahlenbus chel (n) pencil of lines or
rays
Str ahlenf eld (n) net of lines
Str ahlenkegel (m) cone of rays, pencil
of rays
Strahlenkoordinaten ( f pi ) ray coordi-
nates
Str ahlenoptik ( f ) ray optics, emissiveoptics
Str ahlens ystem (n) congruence or
system of rays
Strahlrichtung (f) radial direc-tion
Str ahlung ( f ) radiationStrahlungsenergie (f) radiant energyStrahlungsfluss (m) radiant flux
Strahlungsgesetz (n) law of radi-
ation
Strahlungspotential (n) radiationpotential
Strahlungsvektor (m) radiationvector
Strangvieleck (n) string or funicularpolygon
Stratosphare ( f ) stratosphere
streckbar (a) extensible, rectifiable
Streckbarkeit ( f ) extensibility, rec-tif iability
Strecke ( f ) distance, line segment,stretch
str ecken (vt) stretch
Streckenelement (n) linear elementStreckenkoordinaten ( f pi ) line
coordinat es
Streckenkrummung ( f ) distance cur-
vatur e
Str eckenmasse (f) statistical uni-
verse of period data
Streckenr aum (m) linear spaceStr ec kenu bertragung ( f ) length trans-
fer enceStreckenverhaltnis (n) ratio of lines
str ec kenw eise (a, adv.) line by line
Streckgrenz e (f) elastic limit
Streckung ( f ) stretching
str eichen (vt) strike or cross out,
cancel, deleteStreichung (f) cancellation, dele-
tion
Streif (m), Streifen (m) strip,
bandStr eifenabstand (m) distance of
strip or bandStreif engruppe (f) group of bands or
strips
Streif enkurve (f) strip curve
Streifennorm ale (f) normal to a
strip
Str eifenspektrum (n) band spectrumStreifensystem (n) system of bands
or strips
streng (a) exact, rigorous
Strenge (f) exactitude, rigor
106
Streubereich (m) scatter or dispersionrange
Streueffekt (m) effect of scatteringstreuen (vt, vi) disperse, spread,
scatter
Streufaktor (m) scattering or disper-
sion factor or coefficientStreukegel (m) cone of dispersionStr eukoeffizient (m) scattering or dis-
persion coefficient or factor
Str eulinse (f) dispersion lens
Str euung ( f ) dispersion, scatter(ing),
variation, varianceStreuungsbereich (m) zone of disper-
sion
Str euungsbild (n) scatter or dispersion
diagram, bivariate frequency chartStr euungsfaktor (m), scattering factor
or coefficientStr euungs kegel (m) dispersing coneStreuungskoeffizient (m) scattering
factor or coefficientStreuungskurve (f) scatter curveStreuungsmass (n) measure of disper-
sion or variationStr ich (m) bar, dash, line; accent,
primestricheln ( vt) mark by dots or dashes
or dots and dashesStri>chbreite ( f ) width or thickness of
a linestrich -punk tiert (a) dot-dashStrichz ahl (f) number of lines
Striktion ( f ) striction
Striktions kr eis (m) circle of striction
Str iktionslinie ( f ) line of striction
Striktionspunk t (m) point of striction,
principal point
Strom (m) closed curve or path (on
surface, manifold); (phys.) stream,
flow, (electric) current
Stromdichte ( f ) current density
stromen (vi) flow
Stromintensitat (f) intensity or strength
of currentStromkurve ( f ) current curve*
Stromlinie (f) stream line
stromlinig (a) streamlinedStromschnelligkeit (f) rapidity of cur-
rent
Stromschwankung (f) fluctuation or vari-
ation of currentStromstarke ( f ) current intensity or
strength
Stromung ( f ) current, flow, fluxStromungsbild (n) flow patternStromverteilung ( f ) distribution
of currentStromweg (m) current pathStrophoide (f) strophoidStruktur (f) structure
Strukturanalyse (f) structural anal-ysis
strukturell (a) structural
Strukturformel (f) structural formulaStuck (n) piecestiickeln (vt) divide into piecesstuck weis e (a, adv.) piecewiseS tuf e (f) stage, step; level, order
rank
Stufenfunktion (f) step functionStufengitter (n) echelon gratingStufenkalkul (m), Stuf entheorie (f)
calculus of order u (omega)stuf enwe ise (a, adv.) step by step
Stumpf (m) frustums tumpf (a) obtusestumpfwinklig (a) obtuse (angled)Stunde ( f ) hourStundenglas (n) hour glass
Stundenkr eis (m) hour circle
Stundenwinkel (m) hour angle
Stundenzeiger (m) hour handstundlich (a) per hour, hourly
stiirzen (vt) transpose (a matrix)
Stutz (m) frustumStutze (f) support
Stiitzfunktion ( f ) function of sup-
port
Stutzpunkt (m) point of support;
(mech.) fulcrumSubdeterminante (f) subdeterminant,
partial determinant, minor (deter-
minant)Subjekt (n) subject
Subj ektbegriff (m) concept of sub-
ject; subj ect termsubkontrar (a) subcontrary
Subnormale ( f ) subnormalsubstituieren (vt) substitute
Substitution (f) substitution
Substitutionsformel (f) substitution
formula
Substitutionskoeffizient (m) coeffi-
cient of substitution
Substitutionsmethode ( f ) method of
substitution
107
Substitutionstheorie ( f ) theory of
substitutions
subsu mier en (vt) subsumeSubsumtion ( f ) subsumptionSubtangente ( f ) subtangentsubtrahieren (vt) subtract
Subtraktion ( f ) subtractionSu btr ak tionsz eichen (n) subtraction sign
sub tr ak tiv (a) subtractivesuchen (vt) seek, require
Su d (m), Siiden (m) south
su'dlich (a) southern, southerlySu'dpol (m) south poleSukz ession ( f ) successionsukzessiv (a) successiveSummationsindex (m) summation indexSummationszeichen (n) summation sign
Summationszeiger (m) summation indexSumm e ( f ) sumSummenaxiom (n) axiom of summationSummenbildung (f) formation of sumsSummenformel (f) summation formulaSummenindex (m) summation indexSummenkurve ( f ) summation curve,
ogiveSummenmethode ( f ) method of summa-
tion
Summenpolygon (n) summation curve,
ogiveSummenrechnung (f) summation calculus
Summenregel (f) summation rule
Summ ensatz (m) summation theorem or
principle
Summentafel (f) cumulative table
Summenzeichen ( n) summation sign
Summenzeiger (m) summation indexsummierbar (a) summableSummierbarkeit ( f ) summabilitysummieren (vt) sum up, addSummierung (f) summationSummierungsindex (m) summation indexSummierungskurve (f), Summierungspo-
lygon (n) summation curve, ogiveSummierungszeichen (n) summation sign
Summierungszeiger (m) summation in-
dexSuperlinearitat ( f ) superlinearitysuperponieren (vt) superposeSuperpositionsprinzip (n) superposition
principlesuppl ementar (a) supplementarySupplementarwinkel (m) supplementary
angleSy llogismus (m) syllogism
sy llogistisch (a) syllogistic
Symbolik ( f ) symbolismsymbolisch (a) symbolicsymboli sier en (vt) symbolizeSymbolisierung ( f ) sy mbol iz ation
Symmetrale ( f ) line of symmetry,bis ector
Symmetric (f) symmetrySymmetrieachse ( f ) axis of symmetrySy mmetrieb eziehung ( f ) symmetry
rel ation
Symmetrieebene ( f ) symmetry planeSymmetrieeigenschaft (f) property
of symmetrySymmetriegrund (m) reason of sym-
metrySy mmetrieoperation (f) symmetry
operationSymmetriezentrum ( n) center of sym-
metrysymmetrisch (a) symmetrical;
(statist.) isokurtic
symmetrisieren (vt) symmetrizeSymmetrisierung (f) symmetriza-
tion
Sy mmetrisierungsrichtung (f) direc-
tion of symmetrizationsynchron (a) synchronoussynchronisieren (vt) synchronizeSynchronisierung ( f ) synchronizationsynektisch (a) synectic
synklas tisch (a) synclastic
Synthes e (f) synthesis
synthesieren (vt) synthesizesynthetisch (a) synthetic
Syntraktrix ( f ) syntractrix
System (n) systemsystematisch (a) systematicsystematisieren (vt) systematizeSystemisierung (f) systemizationSystemstr ahl (m) one of a system
of rays
Syzygie (f), Syzygium (n) syzygy
tabellarisch (a) tabular
tabellarisieren (vt) tabulate
Tabellarisierer (m) tabulator
Tabellarisierung ( f ) tabulation
Tabelle ( f ) table, chart, diagramTabellenform ( f ) tabular formTabellenkopf (m)> table caption
Tabellenspalte (f) table columnTabellenzeile ( f ) table row
108
Tabelliermaschine (f) tabulatingmachine
Tafel ( f ) table; projection plane;blackboard
Taf elabstand (m) distance from pro-jection plane
Tafeldifferenz ( f ) tabular differenceTafelmethode (f) table method, actu-
arial methodTaf elzif fer ( f ) actuarial or standardized
rate
Tag (m) dayTagbogen (m) diurnal arc
taglich (a) daily
Tagundnachtgleiche ( f ) equinoxTangens
, tangens (m) tangent.T. von x: tan x
Tangensf unktion (f) tangent functiontangens hyperbolicus (m) hyperbolic
tangent, t.h. von x ; tanh x
Tangenskurve (f) Tangenslinie (f)
tangent curveTangensreihe (f) tangent series
Tangente (f) tangentTangentenabschnitt (m) tangential in-
tercept
Tangentenbeziehung (f) tangentrelation
Tangentenbil d (n) tangent imageTangentenebene (f) tangent planeTangentenflache (f) tangent surface,
tangential developableTangentenform el ( f ) tangent formulaTangentenkonstruktion ( f ) construc-
tion of or by tangentsTangentenkrummung (f) tangential
curvature, geodesic curvatureT angentenkrilmmungs vektor (m) tan-
gential curvature vectorT angentenkurve (f) tangent curve; class
curveT angentenlange ( f ) length of tangentT angent enlinie ( f ) tangent curveT angent enpa ar (n) pair of tangentsTangentenraum (m) tangent spaceTangentenreihe (f) tangent series
Tangentensatz (m) law of tangentsT angent enschar ( f ) family of tangentsTangentenschnittpunkt (m) point of
intersection of tangent(s)
Tangentensechseck (n) circumscribedhexagon
Tangentensehnenwinkel (m) angle of
tangent and chord at point of tan-
gene y, tan-chord angle
Tangentenstrecke (f) tangential seg-ment
Tangentenstiick (n) part of a tangentTangentensystem (n) system of tan-
gents
Tangentenvektor (m) tangent vectorTangentenverhaltnis (n) ratio of
tangents
Tangentenvieleck (n) circumscribedpolygon
Tangentenviereck (m) circumscribedquadrilateral
tangentenweise (a, adv.) by tangentsTangentenwinkel (m) angle of tan-
gents
Tangenten- Zahl ( f ) tangent numbertangential (a) tangent, tangentialTangentiale ( f ) tangential (com-
panion) curveTangentialbeschleunigung (f) tan-
tential accelerationTangentialebene (f) tangent planeTangentialgeschwindigkeit (f) tan-
gential velocityTangen tialgleichung ( f ) tangential
equationTangenUalkegel (m) tangent coneTangentialkomponente ( f ) tangen-
tial componentTangen tialkoord in ate (f) tangential
or line coordinateTangential kraft ( f ) tangential force
Tangentialkrummung (f) tangentialcurvature, geodesic curvature
Tangentialkrummungsvektor (m)tangential curvature vector
Tangentialpunkt (m) point of tan-
gencyTangentialr aum (m) tangent spaceTangentialrichtung (f) tangential
direction, slopeTangentialuberebene ( f ) tangent
hyperpl aneTasterlehre ( f ) caliper gaugeTasterzirkel (m) calipers
Tastlehre ( f ) caliper gaugeTau (n) Greek letter tau (T,r)Taubersatz (m) Tauberian theoremtausend thousandTausend (n) thousandTausendel (n) one- thousandth
Tausender (m). thousandTausenderstelle ( f ) thousands
placeTausendsatz (m) permillage
109
tausendst thousandthTausen dstel (n) one - thous andth
Tautologie (f) tautologytaut o log isch (a) tautologicalTaylo rreihenentwlcklung ( f ) Taylor-
series expansiontechnisch (a) technical, technologicalTeil (m) part, portion
Teilabl e itung ( f ) partial derivativeTeil ansi cht ( f ) partial viewTeilaussage (f) component sentenceteilbar (a) divisible
Teilbar keit (f) divisibility
T eilbereich (m) subdomainTeilbil d (n) partial imageTeilbru ch (m) partial fraction
T e i 1 b r u c h z e r l egun g (f) decompositionin partial fractions
Teilbiin del (n) partial bundleTeilbuschel (n) partial pencilTeilchen (n) particle
T eildisjunktion (f) partial disjunction,
disjunct
teilen (vt) divideTeiler (m) divisor, submultipletei 1 er fr em d (a) relatively primeTeilerhebung (f) partial enumeration,
samplingTeilerinduktion ( f ) divisor inductionTeilerkette ( f ) divisor chainTeilerkettensatz (m) divisor chain
conditionTeilf lache ( f ) portion of surfaceTeilfolge ( f ) subsequenceTeilgeb iet (n) subregionTeilk 1 ass e (f) subclass
Teilkomplex (m) subcomplexTeilkonjunktion (f) partial conjunction,
conj unc t
Teil korper (m) sub field
Teilkorrela tion (f) partial correlationTeilmannigfaltigkeit (f) submanifoldTeilmasse (f) class, groupTeilmenge (f) subset
Teilnahme (f) participationTeilnehmer (m) participantTeilnehmerzahl ( f ) number of partici-
pants
Teilprodukt (n) partial productTeilpunkt (m) point of division
Teilquotient (m) partial quotientTeilresul tan te ( f ) subresultantTeil-schiefkorper (m) skew subfield
Teilsch wingung (f) partial vibration
Teilstrahl (m) division ray or line
Teilstrich (m) division or graduationmark
Teilsumme ( f ) partial sumTeilsystem (n) subsystemTeilung (f) division, graduationTeilungsebene (f) plane of division
Teilung sproblem (n) problem of
points in probability theory
T
e
ilung spunkt (m) point of division
Teilungsverhaltnis (n) division ratio
Teilungszahl (f) quotientteil weise (a, adv.) by parts, partial
Teilzirke l (m) bow compassTelesko p (n) telescopeteleskopisch (a) telescopic
Temperatur ( f ) temperatureTendenz ( f ) trend
Tens or ( m) tensor
Tensoranaly sis ( f ) tensor analysis
Tensordichte (f) tensor density
Tensorf eld (n) tensor field
tensoriell (a) tensor(ial)
Tensorinvariante ( f ) tensor invari-
ant
Tensorkalkill (m) tensor calculus
Tensork omponente ( f ) tensor com-ponent
Tensorr echnung (f) tensor calculus
Terminologie (f) terminologyterminologisch (a) terminologicalternar (a) ternaryTestleistungsergebnis (n) test score
Tetartoeder (n) t etar tohedrontetar toedrisch (a) tetartoh edral
Tetartopyramide ( f ) t etartopyr amidTetrade ( f ) tetrad
tetrahedronvertex of tetra-
Tetraede r ( n)
Tetraederecke (f)
hedronTetraederkoordinaten ( f pi
)
tetra
hedral or tetrametric coordinates
tetraedisch (a) tetrahedral
tetraedral (a) tetrahedral
Tetraedralf lache (f) tetrahedral
faceTetragonalitat ( f ) tetragonality
Tetrakishexaeder (n) tetrahexa hed-
ron, tetrakishexahedrontetrazy klisch (a) tetracyclic
Teufelskurve (f) devil's curvetheodolitetheoretical
Theodolit (m)theoretisch ( a)
Theorie (f) theory
110
thermisch (a) thermalThermodynamlk (f) thermodynamicsther modynamisch ( a) thermodynamicThermostatik (f) thermostaticsThese (f) thesis
Theta (n) Greek letter theta (9,6)Thetafunktion ( f ) theta functiontief (a) deepTiefe (f) depthTiefendimension (f) dimension or ex-
tension in depthTiefenstufe ( f ) gradientTiefpunkt (m) low pointTierkreis (m) zodiactilgen (vt) extinguishTilgung (f) extinctionTon (m) sound, toneTonn e (f) ton
Tonnengehalt (m) tonnageTopologie (f) analysis situs, topologytopologis ch (a) topologicaltor dieren (vt, vi) twist
Tore (m), Toroid (n) toroid
Torsallinie ( f ) torsal line
Torse ( f ) developable (surface)
Torsion ( f ) second curvature, torsion
Torsionsgruppe (f) torsion groupTorsionskoeffizient (m) torsion coeffi-
cient or numberTorsionspendel (n) torsion pendulumTorsionsradius (m) radius of torsion
Torsionswinkel (m) angle of torsion
Torus (m) ring surface, anchor ring,
torus
Torusmannigfl atigkeit (f) torus mani*fold
Totalbetr ag (m) total amountTotalkorper (m) entire or total field
total -posit iv (a) totally positiveTrabant (m) satellite
trag (a) inert
Trager (m) carrier; base (of a range of
points), center or vertex (of a
bundle, a pencil), axis (of a pencil
of planes);(engin. ) girder
Tragheit (f) inertia
Tragheitsachse (f) axis of inertia
Tragheitsellipse ( f ) ellipse of inertia
Tragheitsellipsoid (n) ellipsoid of
inertia, momental ellipsoid
Tragheitsform ( f ) inertia formtragheitsfrei (a) inertia-free
Tragheitsgesetz (m) inertia theorem;(phys.) law of inertia
Tragheitshalbroesser (m) radius of
gyration, radius of inertiaTrggheitshauptachse (f) principal
axis of inertia
Tragheitsindex (m) index of inertiaTragheitskraft ( f ) inertial forcetragheitslos (a) inertialess
Tragheitsmittelpunkt (m) center of
inertia
Tragheitsmoment (n) moment of
inertia
Tragheitsradiu s (m) radius of gyra-tion, radius of inertia
Traghejtstensor (m) inertia tensor
Tragheitszentrum (n) inertia centerTraj ektorie (f) trajectoryTrajektorienflache (f) trajectory
surfaceTraktorie (f), Traktrix ( f ) tractory,
tractrix
transfinit (a) transfinite
Transformation (f) transformationTransformations ei gen schaft ( f ) trans-
formation propertyTrans formationsgruppe ( f ) tranfor-
mation groupTrans formationstheorie ( f ) theory of
transformationstransformieren (vt) transformTransformierte (f) transformtransiti v (a> transitive
Transitivitat (f) transitivity
Transitivitatsgebiet (n) domain of
transitivity; transitivity set
Transitivitatsgesetz (n) law of
transitivity
Translation ( f ) translation
Translationsanteil ( m) translational
share or contribution
Translationsbestandtei l (m) trans-
lational componentTranslations freiheitsgr ad (m) transla-
tional degree of freedomTranslationsgruppe ( f ) translation
grouptranslationsinvariant (a) transla-
tion-invariantTranslativbewegung ( f ) translatory
motiontranslatorisch (a) translatory
transponieren (vt) transpose
Transponierte ( f ) transpose
trans versal (a) transversal
Transversale (f) transversal
111
Transversalensatz (m) transversal theo-rem
Transversal fl ache (f) transversal sur-
faceTrans vers alhyperflache ( f ) transversal
hy persurfaceTrans vers alltat (f) transversalityTransversalitatsbedingung ( f ) condition
for transversality
Transversal massstab (m) transverse scaleTrans vers alschwingung ( f ) transversal
or transverse vibrationTr ans vers al welle (f) transverse wavetranszendent (a) transcendental, trans-
cendentTranszendente ( f ) transcendental, trans-
cendentTranszendenz ( f ) transcendenceTranszendenzgrad (m) degree of trans-
cendenceTr apez ( n) trapezoid
tr apezf ormig (a) trapezoidalTrapezoeder (m) tr apezoh edrontrapezoedrisch ( a) trap ezohedralTrap ez oid (a) trapeziumtreff en (vt) meetTr effpunkt (m) meeting point
treiben (vt) carry
Trendabweichung (f) deviation fromtrend
Trendbereinigung ( f ) adjustment for
trend
trennbar (a) separableTr ennbarkeit (f) separability
trennen (vt) separateTr ennung ( f ) separationTrennungsflache ( f ) separating or divi-
ding surface, cleavage planeTrennungslinie ( f ) separating or dividing
line
Tr ennungspu nkt (m) separation point
Trennungsstrahl ( f ) separating ray or
line
Trennungszeichen (n) separation sign
Treppenfunktion ( f ) step functionTreppenpoly gon ( n) staircase curve or
polygon, histogramTriade ( f ) triad
triadisch (a) triadic
Triakisoktaeder (n) trigonal trisocta-
hedronTriakistetraeder (n) triakistetrah edron
Triangularz ahl (f) triangular numbertriangulieren (vt, vi) triangulate
Triangulierung (f) triangulationTridens (n) trident
Trieder (n) trihedronTrigonalzahl ( f ) triangular numberTrigonom etrie (f) trigonometrytrigonometrisch (a) trigonometrictriklinisch (a) triclinic
Tr illion (f) quintillion (in America),trillion (in Britain)
trimetrisch (a) trimetricTrinom (n) trinomialtrinomisch (a) trinomialTripel (n) triplet, triple
Tripelpunkt (m) triple pointTrisektion (f) trisection
Trisektrix ( f ) trisectrix
Tritopr isma ( n) prism of the third
orderTritopyra mide ( f ) pyramid of the
third orderTrivialitat (f) triviality
Trochoide (f) trochoidTrockenhohlmass (n), Trockenmass
(n) dry measuretropisch (a) tropical
Troposphare ( f ) tropospheretropospharisch (a) troposphericalTropus (m) trope
Troygewicht (n) troy weightTrugschluss (m) fallacy, paralogismTschebyscheff (N) Tchebysheff.
T. -Netz: net of TchebysheffTyp (m) typeTypenlehre (f), Typentheorie ( f
)
theory of types
typisch (a) typical
Typus ( m) type
uUbelstand (m) drawback, inconve-
nienceuber (prep ) above, overu'berabzahlbar (a) nondenumerableuberall (adv) everywhere(iberalldicht (a) everywhere dense-n J
Uberbundel ( n) hyperbundle, star
Uberbuschel (n) hyperpenciluberdecken (vt) cover-n
Uberdeckung ( f
)
coveringffberdeckungssatz (m) covering
theoremUberdeckungszahl ( f ) covering
numbermUberebene (f) hyperplane
112
iibereinanderlagern (vt) superpose,superimpose
Uber einanderlagerung (f) superpositionubereinanderlegen (vt) superpose, super-
im poseUbereinanderlegung ( f ) superpositionubereinstimmen (vi) agree with, coin-
cideM
Ubereinstimmung (f) agreementUberf lac he ( f ) hypersurfaceuberf liess end (a) redundantuberfuhren (vt) carry (over, into), trans'
formUber fuhrung ( f ) carrying (over, into),
transfer( ence) , transformationUberfuhrungssatz (m) transformation
or mapping theoremUber gang (m) passage, passing,
transition
Ubergangskur ye (f) transition curveUber gangspunkt (m) transition or con-
necting pointUbergangswahrscheinlichkeit (f) tran-
sition probabilityUbergangszone (f) transition zoneubergehen (vi) go (over, into), pass
iibergreif en (vi) overlapu b e r h o h
t
(a) excessive; leptokurticUberhohung ( f ) excess; leptokurtosis (of
the frequency curve)iiberl agern (vt) superpose, superimposeUberlagerun g (f) superpositionUberlagerungsflache ( f ) superimposed
surfaceuberlappen (vt) overlapTJber lappung (f) overlappingUberlappungsgebiet (n) overlapping
regionUb ermass ( n) excessuberm assi g (a) excessiveuberradikal (a) ultraradicalUberradikal (n) ultraradicalUberraum kurve ( f ) hyperspace curveuberschiessend (a) redundant-I,
Uberschlag (m) rough calculation, es-
tim ate
u berschl a g en (a) self- intersecting
U berscniagsrechnung (f) = Ubersch lag
uberschreiten ( vt) go beyond, exceedUberschuss (m) excessub ers teigen (vt) exceedubers tr eichen (vt) overlineMUberstreichung (f) overlining, vinculumubers tumpf (a) convex, reflex
(ibertragbar (a) transferable, trans-missibl e
Ubertragbarkeit ( f ) transferability,
transmissibility
ubertragen (vt) carry over, trans-fer, transmit
Ubertragung (f) transfer(ence) , trans-
missionNUbertragungsprinzip (n) principle of
transference; Study's correspon-dence principle
Ubertragungsspannung (f) trans-
mission voltageuberzahlig (a) superfluous, super-
numeraryubrig (a) remainingubriebleiben (vi) remainUbrigbleibende (n) remainderUbungs aufgabe (f) exercise
Ufer (n) bank, boundaryuferlos (a) without a boundary,
boundlessUhr (f) clock, watchUhrzeiger (m) hand of a clock or
watchUhrz eigersinn (m) clockwise direction
U- Kurve (f) U-curve, U-shapedcurve
Ultra kurzwelle (f) ultrashort
wave, microwaveUltraradika-1 (n) ultraradical
ultrareal (a) ultrareal
Ultraschallwelle (f) supersonic waveUl trastrahlung (f) cosmic radiation
Umdrehung (f) revolution, rotation
Umdrehungsachse (f) axis of revo-
lution or rotation
Umdr ehungsellipsoid (n) ellipsoid
of revolutionUmdrehungsflache ( f ) surface of
revolutionUmdrehungsgeschwindigkeit ( f ) speed
of revolution or rotation
Umdrehungshyperboloid (n) hyper -
boloid of revolutionUmdrehungskegel (m) cone of re-
volutionUmdrehu ngskorper (m) body or solid
of revolutionUmdrehungsparaboloid (n) parabo-
loid of revolutionUmdrehungspunkt (m) center of ro-
tation
Umdrehungszahl ( f ) number of re-
volutions
113
Umdr ehungszeit ( f ) period of revolution
Umdr ehungszylinder (m) cylinder of
revolutionUmfang (m) boundary, circumference,
perimeter, periphery; extent (of a
cone ep t)
Umfangspunkt (m) point on the circum-ference or perimeter
Um f angss ch werpunkt (m) centroid of
the perimeter or boundaryumfassen ( vt) comprehend, compriseum f assend (a) comprehending, compre-
hensiveu mf orme n (vt) transformUmformung ( f ) transformationUmformungsregel (f) transformation
rul e
Umgang (m) turn of a helix or screwUmgebung ( f ) neighborhoodum gekehr t (a) converse, inverse, in-
verted, reverseumgekehrt (adv) conversely, inverselyUm ge kehr te (n) inverseUmgestaltung (f) deformationUmgrenzung (f) boundaryumgruppieren ( vt) regroup, rearrangeUmgruppierung (f) rearrangementumhii lien (vt) envelope*Umhullende (f) envelopeUmhull un gsgebil de (n) envelope or
enveloping configurationUmhullungslinie ( f ) envelope curveumkehrbar (a) reversibleUmkehrbarkeit ( f ) reversibility
um kehr en (vt) invert, reverseUmkehrtheorem (n) converse theoremUmkehrung (f) converse, conversion,
inversion, reversionum kl appen (vt) turn over, revolve
into a planeUmklappung (f) turn, turning, revolvingUmkr eis (m) circumscribed circle,
circumcir cl e; scope, surroundings;circumference
um kr eisen (vt) circle or revolve aboutUm kr eismit telpu nkt (m) center of cir-
cumscribed circle, circumcenterUmkreisr a dius (m) radius of the circum-
scribed circleUmkreisung ( f ) circulationUmlauf (m) revolution; circulation.
U. auf einer Flache:circuit, or closed curve, on a sur-
face
umlauf en (vi) revolve, circulateUmlaufsgeschwindigkeit (f) velocity
of revolutionUmlaufsintegral (n) contour inte-
gral
Umlaufszeit (f) period of revolutionumlenken (vt, vi) deflect, deviate,
divert
Umlenksprisma (n) deviating prismumor dnen (vt) rearrangeUmordnung (f) rearrangementumranden (vt) border, boundUmrandung (f) border, boundaryumre chnen (vt) convertUmrechnung (f) conversion; (statist.)
adjus tm ent
Umr echnungsf aktor (m) conversionfactor
Umrechnungsformel (f) conversionformula
Umr echnun gs tabelle (f), Umrechnungs-tafel ( f ) conversion table
Umriss (m) contour, outlineUmrisslinie ( f ) contour line, outlineumschlingen (vt, vr) wind round,
twist
umschr eiben (vt) circumscribeumwandeln (vt) change (to, into),
convert (to, into), reduce (to),
trans form (into)
Umwandlung ( f ) change, conversion,reduction
unabgekiirzt (a) unabridgedunabgeschlossen (a) nonclosedUnabgeschlossenheit (f) nonclosureunabhangig (a) independentUnabhangigkeit (f) independenceUnabha ngigkeitssa tz (m) indepen-
dence theoremunbedingt (a) unconditionalunbegrenzt (a) unbounded, unlimi-
ted, limitless, boundlessUnbegr enztheit (f) boundlessnessunbekannt (a) unknownUnbekannte ( f ) unknownunbena nnt (a) absolute, abstract
unbeschr ank t (a) unboundedunbeschrankt (adv) without limit,
indefinitelyUnbeschranktheit (f) unboundednessunbestimmt (a) undetermined, in-
definite, indeterminateUnbestimmte (f) indeterminateUnbestimmtheit ( f ) indefiniteness,
indeterminacy
114
Unbestimmtheitsrelation (f) uncertainty
principle (of Heisenberg)unbeweglich (a) immovable, immobileUnbeweglichkeit ( f ) immobilityunbeweisbar (a) unprovableunbewiesen (a) unprovedunbezeichnet (a) unsigned (number)unbiegsam (a) inflexible, rigid
Unbiegsamkeit ( f ) inflexibility, rigidity
undefinierbar (a) indefinableUndefinierbarkeit (f) indefinabilityundefiniert (a) undefinedUndula tionspunkt (m) point of undula-
tion
Undulationstangente ( f ) undulatory tan-
gentUndulationstheorie ( f ) undulatory theoryundulatorisch (a) undulatory; (statist.)
cyclical, periodicalundulieren (vi) undulateunecht (a) improperunechtgebrochen (a) improper fractional
uneigentlich (a) improper; ideal
unelastisch (a) inelastic
unendlich (a) infinite, nonterminating,un en ding
Unendlich (n) infinity
unendlichbena chbart (a) infinitely
close
Unendliches (n) infinite, infinity
unendlichfern (a) infinitely distant
Unendlichkeit (f) infinity, infinitude
Uncndlichkeitsaxiom ( n) axiom of
infinity
Unendlichkeitspunkt (m), Unendlich-k eitsstelle (f) point at infinity
unentbehr lich (a) indispensableUnentbehrlichkeit ( f ) indispensabil ity
unentscheidbar (a) undecidableUnentscheidbarkeit (f) undecidability
unentwickel t (a) implicit
unerreichbar (a) unattainable, inacces-
sible
Unerreichbarkeit . (f) unattainability,
inaccessibilityUnfallversicherung ( f ) accident insur-
anceungeandert (a) unaltered, unchangedungefahr ( adv) about, approximatelyun gemischt (a) unmixedungenau (a) inaccurate, inexact
Ungenauigkeit (f) inaccuracyungeordnet (a) disarranged, irregular,
random
ungerade (a) odd (number); un-straight
Ungeradheit (f) oddness (of a num-ber); unstraightness
ungeradlinig (a) nonrectilinearUngeradlinigkeit (f) nonrectilinear-
ity
ungeradzahlig (a) odd-numberedungerichtet (a) undirectedUngerichtetheit ( f ) undirectednessungestort (a) undisturbedungeteilt (a) undividedungleich (a) unequal, unlikeungleichformig (a) nonuniform, in-
homogeneousUngleichformigkeit (f) inhomo-
geneity, variability
Ungleichheit (f) inequalityungleichmassig (a) nonuniformUngleichmassigkeit (f) nonuni-
for mityungleichnamig (a) unlike, dissimi-
lar
ungleichs eitig (a) scaleneungleichsinnig (a) opposite in sense
Ungl eichstr euung (f) heteroscedasti-
city
Ungleichung (f) inequality
Ungleichwertigkeit (f) unequalvaluedness
ungrade (a) odd (number); un-
str aigh t
Ungradheit (f) oddness (of a number);unstraightness
ungradlinig (a) nonrectilinear
Ungradlinigkeit ( f ) nonrectilinearity
ungiiltig (a) invalidUngultigkeit (f) invalidity
ungiinstig (a) unfavorableuniformisieren (vt) uniformalizeUniformisierung ( f ) uniform aliza -
tion
unikursal (a) unicursal
Unikursalkurve ( f ) unicursal curve
unitar (a) unitary
Unitarinvariante (f) unitary invari-
ant
Universalitat (f) universality
Universallehre (f) universal gaugeuniversell (a) universal
Universum (n) universe
unkorreliert (a) uncorrelated
unkurzbar (a) irreducible
unlosbar (a) unsolvable
115
Unlosbarkeit (f) unsol vability
unmessbar (a) immeasurableUnmessbarkeit (f) unm easurabili ty
unmi ttelbar (a) direct, immediateunnegiert (a) unnegatedunordentlich (a) disorderly
Unor dnung (f) disorder
unorienti ert (a) unorientedunpaarig (a) unpaired, oddunperiodisch (a) nonperiodicunregel m ass ig (a) irregular
Unregelmassigkeit ( f ) irregularityunrein (a) impure, nonpureunreinp erio dis ch (a) nonpure periodicunr el at ivis tisch (a) nonrelativisticunrichtig (a) incorrect
Unrichtigkeit ( f ) incorrectnessunscheidb ar (a) inseparableunsicher (a) uncertainUnsicherh eit ( f ) uncertaintyUnsicherh eitsprinz ip (n) uncertainty
principleUnsicherheitsrelation (f) uncertainty
rel at ion
unsichtbar (a) invisible
Unsichtbarkeit (f) invisibility
Unsinn (m) nonsenseunsinnig (a) absurd
Unsinni gkeit (f) absurdity
unstetig (a) discontinuousUnstetigkeit ( f ) discontinuity
Unstetigkeitspunkt (m), Unstetigkeits-
stell e (f) point of discontinuity
unstochastisch (a) nonstochasticUnsymmetrie (f) asymmetry, skewnessunsymmetrisch (a) asymmetric, skewunsys tema tisch (a) unsystematicunteilbar (a) indivisible
Unteilbar keit ( f ) indivisibility
un ten (adv) belowunter (a) lower, inferior
unter (prep.) below, underUnterabteilung (f) subdivision
Unterbereich (m) subdomain, subregionUnterdeterminante ( f ) subdeterminant,
partial determinant, minor (de-
terminant)Untereinheit (f) subunit
Unterfamilie (f) subfamilyUn tergang (m) setting
untergehen ( v i ) set
Un tergruppe (f) subgroupUntergruppenbildung (f) subclassifi ca-
tion
Unterideal (n) subideal
Unterkl a sse (f) subclass; lower class
(of cut)
Unterkomplex (m) subcomplexUnterkorper (m) subfieldUn term enge ( f ) subsetUntermodul (m) submodiileunternorm al (a) subnormalUnterraum (m) subspaceUnterring (m) subringUn tersatz (m) minor premiseUnterschied (m) differenceUnterseit e (f) lower side, bottomun terstreich en (vt) underlineUn terstreichung ( f ) underliningunter teilen (vt) subdivide; gradu-
ate
Unterteilung (f) subdivision; gradu-ation
untrennba r (a) inseparableUntrennbarkeit (f) inseparability
untreu (a) unfaithful
unumkehrbar (a) irreversible
Unumkehrbarkeit (f) irreversibility
unveranderlich (a) invariableUn veranderliche ( f ) invariableUnveranderlichkeit (f) invariability
unverbunden (a) unconnectedUn verbun denheit (f) unconnected-
ness, unrelatednessunvereinbar (a) incompatibleUn vereinbarkeit ( f ) incompatibilityunvergleichbar (a) noncomparable,
incomp arableUn vergleichbarkeit ( f ) incompara-
bility
unverkurzbar (a) irreducible, irre-
dundantun verneint (a) unnegatedun verschieblich (a) indisplaceable,
location- fix ed
un vertraglich (a) incompatible, in-
consistentUn vertr aglichkeit (f) incompatibility,
inconsistencyun verzinslich (a) non -interest-
bearingun vollkommen (a) imperfectun volls tandig (a) incompleteUn vollstandigkeit (f) incomplete-
ness
un wahrscheinlich (a) improbableUnwahrscheinlichkeit (f) improb-
ability
unwesentlich (a) unessential, non-ess ential
116
unzahlbar (a) innumerable, uncountableUnzahlbarkeit ( f ) innumer abilityunzahlig (a) innumerable, uncountableUnzahligkeit (f) innumerabilityUnze ( f ) ounceunzerlegbar (a) indecomposableUnzerlegbarkeit ( f ) indecomposabilityunzusammenhangend (a) unconnectedunzweideutig (a) unambiguousUrbild (n) original (image), preimageUr flach e (f) original or inverse sur-
face
Urkurve ( f ) original or inverse curveUrsache (f) causeurs achlich (a) causalUrsprung (f) originurspriinglich (a) original
Ursprungstangente ( f ) tangent at the
origin (of coordinates)Urtabelle ( f ) Urtafel ( f ) primary (re-
ference) table
Urteil (n) judgmenturteilen (vt, vi) judgeUrteilungslehr e (f) theory of judgmentUrzustand (m) primitive state, original
or initial state
VVakuum (n) vacuumVandermonde ( N ) Vandermondesche
Determinante: Vandermonde or
power determinantvariabel (a) variableVariabilitat (f) variability
Variabilitatsindex (m) measure of dis-
persionVariable (f) variableVariabl enreihe (f) series of variables
Variabl ensubstitution ( f ) substitution of
variables
Variation ( f ) variation; (statist.) dis-
persion
Variationsbreite ( f ) range of variation
Variationsprinzip (n) variational prin-
ciple
Variationsproblem (n) variational prob-lem
Variationsprozess (m) variational pro-
cess
Variationsrechnung (f) calculus of vari-
ations
Variationsvorschrift (f ) prescribedvariation
variieren (vt, vi) vary
Vektor (m) vector
Vektorabbildung ( f ) vector mappingVektoraddition (f) vector additionVektoralgebra ( f ) vector algebraVektoranalyse ( f ) vector analysisvektoranaly tisc h (a) vector-ana-
lytic
Vektorbild (n) vector diagramVektordefinition (f) definition of
a vectorVektordiagramm (n) vector diagramVektordichte (f) vector densityVektordivision (f) vector divisionVektordreieck (n) vectorial triangleVektoreigenschaft ( f ) vector prop-
erty
Vektorfeld (n) vector field
Vektor form ( f ) vector formVektor formel (f) vector formulaVektorfun ktion (f) vector functionVektorgerust (n) vectorial frame
(work)
Vektorgleichun g (f) vector equationVektorgrosse (f) vector quantityvektoriell (a) vectorial, vectorVektorkal kul (m) vector calculusVektorkomponente ( f ) vector com-
ponentVektorkorper (m) vector domainVektorkrummung (f) vector curva-
ture
Vektorlinie ( f ) line of flux or flowVektormannigfaltigkeit (f) vector
manifoldVektormodell (n) vector model (of
an atom)Vektormultiplikation ( f ) vector mul-
tiplication
Vekt oroperator (m) vector operatorVektorpoly gon (n) vectorial poly-
gonVektorpotential (n) vector poten-
tial
Vektorprodukt (n) vector product,
cross or outer productVektorr aum (m) vector spaceVektorrechnung (f) vector calculus
or analysis
Vektorschreibweise (f) vector no-
tation
Vektorsubtraktion (f) vector sub-
traction
Vektorsumme (f) vector sumVektoriibertragung ( f ) vector trans-
ferenceVektorwinkel (m) vectorial angle
117
verallgemeinern (vt) generalize
Verallgemeinerung ( f ) generalization
veranderlich (a) variable; v. sein:
vary. dieser Vektor is zeitlich v.:
this vector varies with the timeVeranderl iche ( f ) variable
Veranderlichkeit (f) variability
verandern (vt) alter, change, vary;
(vr) change, fluctuate, vary
Veranderu ng (f) alteration, change, vari-
ation
veranschaulichen (vt) represent graphi-
cally, visualize
Veranschaulichung ( f ) graphic repre-
sentation, visualizationVerarbeitung (f) condensation (of a
table)
verastelt (a) branched, ramifiedVerastelung ( f ) ramificationverbess er n (vt) correct, improve, refine
Verbesserung (f) corr ec tion, impr o v e-
ment , refinementverbiegbar (a) bendable, deformableVerbiegbarkei t (f) deformalityverbiegen (vt) bend, deformVerbiegun g ( f ) deformationverbinden (vt) connect; (vt, vr) com-
bineVerbindung ( f ) connection, combina-
tion
Verbindungsgerade (f), Verbindungslinie(f) connecting line
Verbindungsmenge ( f ) product of the
second kind(in set theory)Verbindungspunkt (m) connecting point
Verbindungsr aum (m) connectingspace
Verb indungs vektor (m) connecting vec-
tor
Verb indun gs
z
eichen (n) connection or
connective sign
verbunden (a) combined, connected,joint
V er bu nd e nhe it (f) connectednessverdich ten (vt, vr) condense, compressVer dichtung ( f ) compression, con-
densation; (statist.) reduction (of
data)
Verdichtungspunkt (m) condensationpoint
verdicken (vt) thickenVerdickung ( f ) thickeningverdopp eln (vt, vr) double, duplicateVerdopplung ( f ) doubling, duplication
verdr a 1 1 en (vt) twist; wrenchVerdral lung ( f ) twisting; wrenchVerdrallungsz ahl (f) number of
twis tings
verdrehen (vt) contort, distort,
twist, warpVerdrehung ( f ) contortion, twist
verdrillen (vt) twist, wrenchVerdrillung (f) twisting; wrenchVerdrillungszah l (f) number of
tw is tin gs
vereinf achen (vt) simplify
Vereinf achung (f) simplification
ver einigen (vt, vr) combine, join,
unite
vereinigt (a) conjoint, united
Vereinigung (f) combination, join,
unionVereinigungsaxiom (n) axiom of
combin ation
Vereinigungsklasse ( f ) union or
join of classes
Vereinigungsmenge (f) join or sum or
union of sets
verengen (vt) constrict, narrow
Verengung (f) constriction
verf ahren (vi) proceedVerf ahr en (n) process, method,
procedureverfeinern (vt) refine
Verfeinerung (f) refinementVerfeinerungssatz (m) refinement
theoremverfestigen (vt) strengthen, reinforce;
solidify; (vr) become stronger or
reinforced; become solid
Verfestigung ( f ) solidification;
strengthening.reinforcementverfinstern (vt) darken; eclipse,
occultVerfinsterung ( f ) darkening; eclipse;
occultation (of a star)
Verfolgerungskurve (f) curve of pur-
suit
verformen (vt) deform, mold; (vr)
become deformedVerformung ( f ) molding; deforma-
tion, strain
Verformungsellipsoid (n) strain el-
lipsoid
Verformungsstufe (f) deformation
stage or step
verfilnf fachen (vt) quintuple
Verfunffachung (f) quin tuplica tion
118
Vergleich (m) comparisonvergleichbar (a) comparableVergleichbarkeit ( f ) comparabilityVergleichbarkeitssatz (m) theorem of
comparabilityvergl eichen (vt, vr) compareVergleichsflache ( f ) comparison sur-
face; comparable or admissible sur-
faceVergleichsfunktion (f) comparison func-
tion; majorizing or dominant func-tion
Vergleichskurve ( f ) comparison curve;comparable or admissible curve
Vergleichslange (f) standard lengthVergle ichsmass -stab (m) standard of
comparisonVergleichsversuch (m) comparative
test
Vergleichswer t (m) comparative or
comparable valueVergleichung (f) comparisonVergleichungsfunktion (f) function of
comparison; majorizing or domi-nant function
vergrossern (vt) enlarge, magnify, in-
creas e
Vergrosserung ( f ) enlargement, magni-fication, increase
V ergro ss eru ngsm ass - stab (m) scale of
enlar gem ent
verhalten (vr) behave; bear a relation-
ship or proportion (to a thing).
sich umgekehrt v. zu:
to be in inverse ratio to
Verhalten (n) behaviorVerhaltnis (n) ratio, proportionVerhaltnisanteil (m) proportionate share
verhaltnisgleich (a) proportionalVerhaltnisgleichheit ( f ) proportionality
Verhaltniskoordinaten (fpl.) ratio co-ordinates; trilinear coordinates
verhaltnismassig (a) proportional,
proportionate, relativeVerhaltnisz ahl (f) rate, ratio, percen-
tageVerif ikation ( f ) verificationverifizieren (vt)' verify
Verif iz ierung ( f ) verificationverj ungen (vt) scale down, reduce (in
scale)
Verjungung ( f ) reduction (in scale)
verkehrt (a) reverse, inverse, invertedverke tten (vt) link; correlate
Verkettung (f) linkage; correlationverkleinern (vt, vr) diminish, reduceVerkleinerung ( f ) diminution, re-
ductionverknoten (vt, vr) interlace, loopverknupfen (vt) combine, interre-
late, link
Verknupfung ( f ) combination, con-nective, connection, linkage,linking
Verknupfungsschema ( n) connectivesch erne
verkoppeln (vt) couple, link
Verkoppelung ( f ) coupling, linkageverkurz en (vt) shorten; (descr.)
foreshortenVerkiirzung ( f ) shortening; fore-
shorteningverlangern (vt, vr) extend, lengthen,
prolongverlangert (a) elongated, prolate
Verlangerung (f) extension, lengthen-ing, prolongation
verl angsamen (vt, vr) slow down,retard
Verlauf (m) behavior, course; shapeverlauf en (vi) run along, proceed;
pass ; b ehaveV e r 1 u s t (m) loss
Verlusterwartung (f) expectation of
loss
verm ehren (vt, vr) increase
Vermehrung ( f ) growth, increase
verm essen (vt) surveyVermesser (m) surveyorVermessung (f) survey (ing)
vermindern (vt, vr) diminishVerminderung ( f ) diminutionVermutung (f) conjecturevernachlass igen ( vt) neglect
Vernachlassigung (f) neglect, neg-
lecting
verneinen (vt) deny, negateverpflanzen (vt) transfer
Verpflanzung (f) transference
verrechnen (vt) miscalculateverringern (vt, vr) diminishVerringerun g (f) diminutionverrucken (vt, vr) displace
Verriickung ( f ) displacementverschieben (vt, vr) displace,
shift, moveverschieblich (a) movable, displa-
ceable
119
Verschiebung (f) displacementVerschiebungsanteil (m) displacement
portion or contributionVerschiebungsfaktor (m) displacement
factor, coefficient of displacementVerschiebungsgesetz (n) displacement
principle (of Levi-Civita)verschleifen (vt, vr) loopverschlingen (vt, vr) intertwine, loopVerschlingung ( f ) intertwining, loopingVerschlingungszahl (f) looping coeffi-
cient
verschlungen (a) intertwined, tortuous,
twisted, windingVerschlungenheit ( f ) tortuousnessverschlusseln (vt) codeVerschlusselung ( f ) codingverschneiden (vt, vr, v. recip.) intersect
Verschneidung ( f ) intersectionverschwinden (vi) vanishVerschwindungslinie ( f ) vanishing line
Verschwindungspunkt (m) vanishingpoint
versichern (vt) insure
Versicherter (m) insured personVersicherung ( f ) insuranceVersicherungsleistung (f) insurance
benefitVersicherungsmathematik ( f ) insurance
mathematicsVersicherungsmathematiker (m) actuaryVersicherungsnehmer (m) insured per-
son
Versicherungspolice (f) insurancepolicy
Versicherungsschein (m) insurance(policy)
Versicherungsstatistik (f) actuarial or
insurance statistics
Versicherungsstatistiker (m) actuaryVersicherungstrager (m) insurer
Versicherungswesen (n) insurance mat-ters
Versier a (f) witch of Agnesi, versieraversehen (vt) assign, equipversetzen (vt) permute, transposeversetz t (a) shifted, transposedVersetzung (f) permutation, rearrange-
ment, transpostion; dislocationVersetzungsregel ( f ) rule of transposi-
tion
versinnbildlichen (vt) symbolizeVersinnbildlichung (f) symbolizationVersuch (m) attempt, experiment, test
versuchen (vt) attempt, try
Versuchsfehler (m) experimentalerror
Versuchsmethode (f) trial methodVersuchsreihe ( f ) experimental or
trial series
vertauschbar (a) interchangeable,permutable; commutable
Vertauschbarkeit (f) interchange-ability, permu tability; commu-tability
vertauschen (vt) exchange, inter-
change, transpose, commute,permute
Vertauschung (f) exchange, inter-
change, transposition, commu-tation, permutation
Vertauschungsformel ( f ) transposi-
tion formulaverteilen (vt) distribute, spread;
(vr) be distributed, spread,
or dispersedVerteilung (f) distribution; dis-
persion, variationVerteilungsdichte (f) distribution
density
Verteilungsfunktion (f) distribution
functionVerteilungs gesetz (n) distributive
law
Verteilungskurve (f) distribution
curveVerteilungsmass (n) measure of
distribution or variationVerteilungsnetz (n) distribution
networkVerteilungsparameter (m) distri-
bution parameterVerteilungs taf el ( f ) frequency
table
vertikal (a) vertical
Vertikal (m) vertical circle
Vertikalachse (f) vertical axis
Vertikale ( f ) vertical line, per-pendicular
Vertikalebene ( f ) vertical planeVertikalitat (f) verticality
Vertikalkomponente (f) vertical
componentVertikalkreis (m) azimuthal or ver-
tical circle
Vertikallinie (f) vertical line
Vertikalprojektion ( f ) orthographicor vertical projection
120
Vertikalrichtu ng (f) vertical direction
Vertikalschnitt (m) vertical section
Vertikalstreifen (m) vertical strip
vertraglich (a) compatible, consistent
Vertraglich keit ,(f) compatibility, con-sistency
Vertraglichkeitsbedingung (f) compati-bility condition
vervielf achen (vt) multiplyVervielfachung (f)- multiplicationvervollstandigen (vt) completeVervollstandigung (f) completionverwandeln (vt, vr) change, convert,
reduce, tranformVerwandlung (f) conversion, change,
transformation, reductionVerwandlungstafe l ( f ) conversion table
verweisen (vt) refer (to)
Verweisung ( f ) cross referenceVerwirklichung (f) realizationverzeichnen (vt) distort
Verzeichnung (f) distortion (of magnifi-cation), kissenfor mige V.:
pillow or pincushion distortion
tonnenf ormige V.: barrel distortion
verzerren (vt, vr) deform, distort
Verzerrung (f) deformation, distortion;
strain
verzerrungsfrei (a) free from distortion,
undistorted, distortionless
Verzerrungsfreiheit (f) freedom fromdistortion
Verzerrungstensor (m) deformation or
distortion tensor, strain tensor
verzinsen (vt) pay interest; (vr) bearinterest
verzinslich (a) interest-bearingVerzinsung (f) yield of interest
verzweigen (vr) branch, ramifyverzweigt (a) branched, ramifiedVerz weigung (f) branching, ramificationVerzweigungsgruppe (f) branch-point
groupVerzweigungspunkt (m) branch(ing)
point, winding pointVerzweigungsschnitt (m) branch(,ing)
section, branch cut or line
vibrieren (vi) vibrateviel (a) much; viele (pi.) manyvielblattrig (a) many-sheetedvieldeutig (a) multivaluedVieldeutigkeit (f) multivaluedness,
multiplicityVieleck (n) polygon
vieleckig (a) polygonalVieleckszahl (f) polygonal numbervielfach (a) manifold, multipleVielfache (n) multipleVielfachfeld (n) multiple field
Vielfachheit (f) multiplicityvielfaltig (a) multipleVielfaltigkeit ( f ) multiplicityVielflach (n) polyhedronvielflachig (a) polyhedralVielflachner (m) polyhedronvielgliedrig (a) polynomialVielheit ~(T) multiplicityVielkant (n) polyhedral (angle)vielseitig (a) many-sided, polygo-
nal
vielstellig (a) of many digits or
placesvielteilig (a) multipartitevielwertig (a) multivaluedViel wertigkeit (f) multiplicity,
multivaluednessvier four
Vier ( f ) four
Vierblatt (n) quadrifoliumvierdim ensional (a) four- dimensionalVierdimensionalitat (f) four-dimen-
sionality
Vierebenenkoordinate ( f ) quadri-
planar coordinateViereck (n) quadrangle, quadrila-
teral
viereckig (a) quadrangularVierecksf lache ( f ) area of quadri-
lateral, (surface of) quadrila-
teral
Viereckskurve ( f ) quadrangular curve
Viereckszahl (f) square numberVierer (m) four
Vierergruppe (f) four-groupViererkraft ( f ) four-force
Vierertensor (m) four-tensor
Vierervektor (m) four-vector
vierfach (a) fourfold, quadrupleVierfarbenproblem (n) four-color
problemVierflach (n) tetrahedron
vierflachig (a) tetrahedral
Vierflachner (m) tetrahedron
viergliedrig (a) four -termed, quadri-
nomial; four-place, tetradic;
four-parameter; four -membered;(statist.) tetrachoric
Vierheit ( f ) tetrad
121
vierhun dert four hundredVierkant (n) tetrahedral (angle)
vierm al four timesviermalig (a) (done) four timesV lerpol (m) quadripolevierp olig (a) tetrapolarvierpunktig (a) four-pointVi erscheitelsatz (m) four-vertex theo-
rem for ovals
Vierseit (n) quadrilateralvierseitig (a) four-sided, quadrangular,
quadril ateral
Vierspitz (m) tetracuspidVierspitz ensatz (m) C aratheodar y's
four-vertex theorem (for envelopes)vierspitzig (a) four-cusped, tetracus-
pTd
vierstellig (a) four-place, four-digit,four- figure
viert fourth
vierteilig (a) quadripartiteVierteilungspunkt (m) quarter pointViert el (n) one-fourth, quarterViertel kreis (m) quadrant of a circle,
quarter circle
Viertelkr eisbogen (m) quadrant arc (of
a circle)
Viertelpy ramide ( f ) tet artopyr amidviert elsfl achig (a) tetartohedralViertelsfl achner (m) tetar tohedr on
Viert elspunkt (m) quarter pointViertelswert (m) quartileViertelswertabstand (m) quartile
deviationviertens (adv) fourthlyVierundz wanzigflach (n), Vierundzwan-
zigf 1 achner (m) icositetrahedron,trisoctahedron
vierw ertig (a) four-valuedVierwertigkeit (f) four- valuednessVierz ahl (f) tetrad
vierz ahlig (a) fourfold, quadruple;tetr a gonal
Vierz ahligkeit (f) quadruplicity ; tetra-
gonalityvierz ehn fourteenv i e r z i g forty
vierzigst fortieth
vir tuell (a) virtual
Vize kugel ( f ) imaginary sphere (of
complex, inversion)voll (a) complete, full
vollflachig (a) holohedralVollf lachner (m) holohedron
vollkommen (a) perfectVollkreis (m) full circleVollkugel (f) full sphere; solid
spherevollstandig (a) complete, perfect,
total
Vollstandigkeit (f) completenessVollstandigkeitsaxiom (n) axiom of
completenessVollstandigkeitsbeziehung (f) com-
pleteness relationVollstandigkeitssatz (m) complete-
ness theoremvollstetig (a) completely continuousVolls tetigkeit ( f ) complete conti-
nuity
Vollwinkel (m) round angle, perigonVolumaus dehnung (f) volume expan-
sion
Volumeinheit ( f ) unit of volumeVolumelement (n) element of
volumeVolumen (n) volumeVolumendifferential (n) differential
of volumeVolumenintegral (n) volume inte-
gral
volumetrisch (a) volumetricVolumprozent (n) percent by volumevolumtreu (a) volume -preservingVomhundertsatz (m) percentagevoraussetzen (vt) assume, posit, pre-
supposeVor aussetzung (f) assumption, hy-
pothesis, premiseVorbemerkung ( f ) preliminary re-
markvorder (a) front, preceding.
vordere Derivierte: progressive
or front derivative
Vorderansicht ( f ) front viewVorderecke ( f ) front corner
Vorderf lache (f) front face
Vorderglied (n) antecedent (of
a ratio); (log.) first componentVorderkante ( f ) front edgeVorderkegel (m) front or forward
coneVordersatz (m) antecedent sen-
tenceVorderseite ( f ) front side, face
vorderst (a) foremostVorgang (m) event, occurrence,
phenomenon; process
122
Vorganger (m) predecessorVorgangerabzahlung (f) count(ing) of
predecessorsVor gangsm asse ( f ) statistical universe
of cumulative data
vorst ellbar (a) intuitable
Vorst el lbarkeit (f) untuitabilityvorst el len (vt) represent, visualizeVorstellung ( f ) mental image, intuitive
idea
vorlaufig (a) provisional, temporaryvornhinten (a) front- to- backVorra
t
(m) range (of a matrix, set,
transform ation)
vorriicken (vi) advanceVorrii cken (n) advancevorspringend (a) projecting, salient
Vorzahl (f) coefficient
Vorz eichen (n) algebraic sign
Vorz eichenregel (f), Vorz eichensatz(m) rule or law of signs
Vorzeichenumkehrung (f) reversal of
sign
Vorzeichenwechsel (m) change in sign
wWaage (f) balance, scales
waagrecht (a) horizontal, level
Waagschale ( f ) scale (of balance)
wachsen (vi) grow, increasewachsend (a) increasingWachsendes ( n) increasing entity
Wachstum (n) growth, increase
Wachstumsfrage ( f ) problem of increase
or growthWachstumskur ve (f) growth curveWachstumspunkt (m), Wachstumsstelle
( f ) point of increaseWage (f) = Waagewa gen (vt) weighWahl (f) choice, selection
wahlen (vt) choose, select
wahllos (a) randomwahr (a) true, correct
Wahrheit ( f ) truth
Wahrheitsfunktion ( f ) truth function
Wahrheitsgehalt (m) truth content
Wahrheits wert (m) truth value
wahrscheinlich (a) probable, likely
Wahrscheinlichkeit ( f ) probability,
likelihood, chance, odds
Wahrscheinlichkeitsamplitude ( f
)
probability amplitudeWahrscheinlichkeitsbegriff (m) concept
of probability
Wahrscheinlichkeitsbes timmung ( f
)
determination of probabilityWahrscheinlichkeitsdichte (f) prob-
ability densityWah rscheinlichkeitsfaktor (m) prob-
ability factor
Wahrscheinlichkeitsfunktion (f)
probability functionWahrscheinlichkeitsgesetz (n) law
of probabilityWahrscheinlichkeitskurve ( f ) prob-
ability curveWahrscheinlichkeitsnetz (n) prob-
ability paperWahrscheinlichkeitsrechnung ( f)
calculus or theory of probabilityWahrscheinlichkeitsskala ( f ) prob-
a bility paperWahrscheinlichkeitswelle ( f ) proba-
bility waveWappen (n) Kopf oder W . , Schrift
Oder W : heads or tails
Warme (f) heatWarmeausdehnung (f) thermal ex-
pansionWarmelehre ( f ) theory of heat, ther-
modynamicsWarm el eiter (m) heat conductorWarmeleitung (f) heat conductionWarm el eitungsgl eichung (f) heat
conduction equationWarm em enge ( f ) quantity of heat
Warmesch wankung ( f ) thermal fluc-
tuationWarmestrahlung ( f ) heat or thermal
radiationWarm es trom (m) heat flow
Wasserlibelle ( f ) water level
Wasseruhr (f) water clock
Wasserwaage (f) water level
Wattstunde (f) watt-hourWechse 1 (m) change, variation;
alt erna tion
Wechselbeziehung (f) correlation
Wechselkeile (mpl) pair of alter-
nate dihedral angles,
innere (aussere) W.: interior
(exterior) dihedral angles
wechseln ( vt, vi) change, vary;
alt erna te
wechselseitig (a) mutual, recipro-
cal
Wechselwinke l (m) one of a pair of
alternate angles
Wechselwirkung (f) interaction
123
Weg (m) path, track, way; course, dis-
tanceWegdif ferenz (f) difference in path
length
Wegf all (m), Wegf alien (n) cancel-lation
wegfallen (vi) cancel (out)
wegheben (vr) cancel (out)
Wegkurve ( f ) hodographWegl ange ( f ) length of path
wegnehmen (vt) take away, deductWegnahme (f) deduction, subtraction
we gschaff en (vt) cancel, removeWegschaf fung ( f ) cancellation, removalwegs treichen (vt) strike out, reject,
discard
Wegunterschied (m) path length differ-
enceweisen (vt) point
weWeweWe
WeWe
WeWe
WeWeWe
WeWeWe
WeWeweWeWeWeWe
WeWeWeWeWe
WeWe
t (a) broad, wide; far, remotete (f) breadth, width; distance
terfuhren (vt) continue, extrapolateterfuhrung ( f ) continuation; extra
polationle (f) wave1 enbewegung (f) undulatory or wavemotion, undulationlenflache (f) wave surface
lenfortpflanzung ( f ) transmission or
propagation of waves1 engleichung (f) wave equation1 enlange (f) wave lengthlenlehre (f) wave theory, undula-tory theory
1 enmechanik ( f ) wave mechanicslenoptik (f) wave optics
lentheory (f) wave theory, undula-tory theorylenzahl ( f ) number of wave lengths
1 enzug (m) wave train
lig (a) wavy
^ ( f ) universe, worldtachse (f) celestial axis
tfunktion (f) world function
tgesetz (n) universal or cosmiclawtkarte (f) world maptkanal (m) world, canaltkorper (m) celestial bodytlinie ( f ) world line
tlinienelement (n) world line ele
menttmetrik (f) world metricstpunkt (m) world point, here-nowpoint, space-time point
Weltraum (m) cosmic or universal
spaceWeltrichtung (f) world direction
Weltstrahl (f) cosmic ray
Weltstr ahlung ( f ) cosmic radiation
Weltsys tern (n) cosmic systemWelt vektor (m) world vectorWendeasymptete (f) inflectional
asymptoteWendekreis (m) tropic
Wendel ( f ) helix, spiral
Wend elflache ( f ) screw surface,
helicoidal surface
Wendelinie (f) asymptotic curve
( of surface)
Wendeltreppe (f) spiral staircasej
screw or spiral surface
wenden (vt, vr) turn
Wendepunkt (m) point of inflection,
flex point; (astr.) solstial pointWendepunktsform (f) inflectional
form of equation (of curve)Wendetangente (f) inflectional or
stationary tangentWendung (f) flexion; turn; contrary
flexure
Wert (m) value, worthWertbereich (m) range of valuesWertegruppe (f) group of valuesWertepaar (n) pair of valuesWertetripel (n) trio of values
Wertevorrat (m) range of values
wertgebend (a) significant
Wertigkeit (f) valuedness; (chem.)valence
Wertigkeitskorrespondenz ( f ) valued-
ness correspondenceWertmass ( n) standard of valueWertmass -stab (m) = WertmassWertmenge (f) set of values
Wertmesser (m) standard of valueWertreihe (f) series of values
Wertschatzung ( f ) appraisal, evalu-
ation
Wertsystem (n) system of values
West (m), Westen (m) west
westlich (a) westerly, western
Westpunkt (m) west point
W-Flache ( f ) Weingarten surface,
W-surfaceWidersinn (m) absurdity
widersinnig (a) absurdity
widersprechen (vt, vi) contradict
Widerspruch (m) contradiction
widerspriichlich (a) contradictory,
inconsistent
124
Widersprilchlichkeit ( f ) inconsistency,
contr adictoriness
widerspru chsfrei (a) free from contra-
diction, consistent, compatibleWiderspruchsfreiheit ( f ) freedom from
contradiction, consistency, com-patibility
Widers tand (m) resistance
Widerstreit (m) contrariness
wiederhol en (vt, vr) repeatwiederhol t (a) repeatedWiederholung ( f ) repetition
Wiederkehr ( f ) recurrence, return
wiederkehren (vi) recurwied er k ehrend (a) recurring, repeating,
returningwiegen (vt, vi) weighW i 1 Ik \1 r ( f ) arbitrariness
willku rlich (a) arbitrary
Wi 11 kiir lich keit (f) arbitrariness
winden (vt, vr) wind, twist
W i ndrose ( f ) compass card, wind rose
windschief (a) skew, warpedWindschiefe (f) skewnesswindschnittig (a) streamlinedWindung (f) winding; convolution (of
a surface); thread or turn (of a helix,
a screw); torsion (of a space curve)
Windu ngsf 1 ache (f) winding surfaceWindungspunkt (m) winding point
Wi ndun gs winkel (m) angle of torsion
Windungs zahl ( f ) number of turns or
windingsWinkel (m) angleWi nk el ablenku ng (a) angular deflectionWinkel abstand (m) angular distanceWinkel berechnung ( f ) angle computationWinkelbereich (m) angular regionWink el beschleunigung (f) angular ac-
celerationWinkelbestimmung ( f ) angle determi-
nationWink el be wegung ( f ) angular motionWinkel differential (n) differential of
angleWink el dis tanz ( f ) angular distance
Winkeleinheit ( f ) angular unit
Wink elfel d (n) field of anglewinkelformig (a) angularWinkel funktion (f) trigonometric func-
tion
Wink el gesch wind igkeit (f) angular
velocityWi nk el gle ichu ng ( f ) angle equation
Winkel gra d (m) angular degreeWinkelhalbierende ( f ) angle bi-
sector
winkelig (a) angularWinkel koordina ten ( f pi ) angle
coordinatesWink elmass (n) angular measureWinkelmess er (m) protractorWinkelmessung (f) gonlometryWinkelminute ( f) angular minuteWinkel of fnu ng (f) angular opening
or apertureWink elraum (m) angular spaceWinkelsekunde ( f ) angular secondWinkelsumme (f) angular sumWinkelsy mmetra le ( f ) angle bisector
Winkel tabelle (f) table of anglesWinkeltransporteu r (m) protractor
winkeltreu (a) angl e- pr es erving,
conformal, isogonalWinkeltreue ( f ) preservation of
angles, isogonalityWinkel variable ( f ) angle variableWinkel verschiebung ( f ) angular
displacementWintersonnenwend e ( f ) winter sol-
stice
Wirbel (m) curl; (phys.) vortex
Wirbelbew egung ( f) vortex motionWirbelfeld (n) field of vorticity,
rotational field
wirbelfrei (a), wirbel los (a) free
from vortices, irrotational
Wirbelquelle (f) vortex source
Wirbelring (m) vortex ring
Wirbelzeit, (f) vortex period
Wirbelzentrum (n) vortex center
wirken (vi) take effect; w. auf .
acton, a f f ect
wirklich (a) actual, real
Wirklichkeit ( f ) reality
Wirkung (f) effect; action, power
Wirkungsbereich (m) range of ef-
fectiveness; (log.) scope (of
a s y mbol)Wirkungsfunktion (f) action function
Wirkungsgesetz (n) action principle
Wirkungsgrad (m) effectiveness, ef-
ficiencyWirkungsgradbestimmung ( f ) effi-
ciency test
Wirkungsgross e action function
Wirkungskraft ( f ) effective force
Wirkungsprinzip (n) action principle
125
Wirkungsquantum (n) quantum of ac-tion
Wirkungs variabl e (f) action variableWissenschaf t (f) sciencewissenschaf tlich (a) scientific
W- Kurve (f) integral curve of Jacobi's
differential equation, W-curveWoche ( f ) weekwoch entlich (a) weeklyw ohlabgegrenzt ( a ) w ohldefinier t ( a
)
well- definedwohl geordne t (a) well-orderedwohl ordnen (vt) render well-orderedWohlor dnung (f) well - or deringwolben (vt) make convex; (vt, vr)
form an arch or a vault
Wolbung (f) convexity; arch, vault
Wuls t (m) ring surface, anchor ring,
torus
wulstformig (a) toroidal
Wurf (m) throw; anharmonic set of
elem en ts, cast
Wurf bahn ( f ) trajectory
Wurfbewegung ( f ) projectile motionW ii r f e 1 (m) cube, hexahedron; die
(pi . dice)
wurf el n (vi) cast or throw dice
Wurf lehre (f) ballistics
Wur f linie ( f ) trajectory
Wurf parabel ( f ) trajectory parabolaWurz el ( f ) root, radix, radical
Wurz el ausdruck (m) radical, surd
Wurzelausziehen (n), Wur zelausz iehung( f ) extraction of roots, evolution
Wurz el ex is tenz ( f ) existence of a root
Wurzelexistenzbeweis (m) proof of the
existence of a root
Wurz el exponent (m) radical indexWurz el fak tor (m) root-factorWu rz el gross e ( f ) root element (of a
ring)
Wurz el korpe r (m) root field
Wurz el vergrosserung ( f ) increase of
root( s)
Wurz el verkl einerung ( f ) decrease of
root( s)
Wurz el wert (m). value of a root
Wurz el z eich en (n) radical sign
Wurzel Ziehen (n), Wurz elziehung (f)
root extraction, evolution
Xx- Achse (f) x-axisxenomorph (a) xenomorphic
Xenomorphie (f) xenomorphismXi (IT) Greek letter xi (S>. 6)
x-Koqrdinate (f) x-coordinatexy-Ebene (f) xy-plane
Yy- Achse (f) y-axisYardmass ( n) yardsticky- Koor dinate (f) y-coordinateYpsilon (n) Greek letter upsilon
(T v)
yz -Achse ( f) yz-axis
z - Achs e (f) z-axisZahl ( f ) number, figure, digit
Zahl art (f) kind of numberZahl begrif f ( m) number conceptZahl einheit (f) unit of countingzahl en (vt, vi) count, numberZahl en (n) countingZahl enachse ( f ) number axis
Zahlenangabe ( f ) assignment of
numerical valuesZahl enbeispiel (n) numerical ex-
ampleZahl enbereich (m) number domain
or field
Zahl endreieck (n) number triangle
Zahlenebene (f) number plane,
Gauss's complex planeZahlenfaktor (m) numerical factor
Zahlenfolge (f) sequence of num-bers, numerical order
Zahlengerade ( f ) number scale or
axis
Zahlengleichun g (f) numericalequation
Zahl en klass e (f) number class
Zahlenkombination (f) combinationof numbers
Zahlenkongruenz (f) congruence of
numbersZahlenkontinuum (n) continuum of
nu mbersZahlenkorper (m) number field
Zahlenkugel ( f ) Riemann sphere
Zahlenlehre (f) theory of numbersZahlenlinie ( f ) number scale or
axis
zahlenmassig (a) numerical, quan-
titative
Zahlenmenge ( f ) set of numbers,
number set
126
Zahl enmodu 1 (m) number moduleZahlenpaar (n) pair of numbersZahlenpolygon (n) number polygonZahlenquadrat (n) number squareZahl enraum (m) number spaceZahl enrechnung ( f ) numerical com-
putationZahl enreihe (f) number series
Zahlenring (m) number ring
Zahl enspr ache (f) number languageZahl ensymbol (n) number symbol,
numeralZahl ensymbolik ( f ) number symbolismZahlensystem ( n) number systemZahlentaf el (f) numerical table
zahlentheoretisch (a) number- theoreticZahl entheorie (f) number theoryZahlentripel (n) number triplet
Zahlenvariable (f) numerical variableZahlen verhaltnis (n) numerical ratio
Zahlen vieleck (n) number polygonZahl en viereck (n) number squareZahl en wert (m) numerical valueZahl er (m) numeratorZahlerdeterminante (f) numerator de-
terminantZahlergrad (m) degree of the numera-
tor
Zahl koeff izient (m) numerical coeffi-
cient
Zahlkorper (m) number field
Zahlreihe ( f ) number series
Zahlring (m) number ring
Zahlung (f) count(ing)Zahl werk ( n) counter of a computing
machineZahl wort (n) number word, numeralZahlzeichen (n) number symbol,
numera 1
zehn ten
Zehn ( f) ten
Zehneck (n) decagonzehnec kig (a) decagonalZehn er (m) ten
Zehnerbasis ( f ) base ten
Zehner bruch (m) decimal fraction
Zehnergruppe ( f ) decadeZehn er ko lonne (f) column of tens
Zehnerlogarithmus (m) decadic or com-mon logarithm
Zehner potenz ( f ) power of ten
Zehnerstelle (f) tens placeZehnersystem ( n) decimal systemZehner zahl (f) decadic number
Zehnflach (n) decahedronzehn flachig (a) decahedralZehn f la chner (m) decahedronzehnmal ten timeszehnmalig (a) ten timeszehnt tenth
zehntausend ten thousandze hn teilen (vt) divide in ten parts
zehnteilig (a) ten-part, ten-divi-sion
Zehntel (n) one-tenthzehntel (a) tenth (part)
Zehntelgrad (m) tenth of a degreezehntens (adv) tenthly
Zeichen (n) mark, sign, symbolZeichendreieck (n) drawing triangle,
set squareZeichenebene ( f ) drawing planeZeichenfehler (m) drawing error
Zeichenfl ache (f) drawing surface
Zeichenfolge (f) sequence of signs
Zeichenhilfsmittel (n) drawing aid
Zeicheninstrument (n) drawing in-
strumentZeichenlehre ( f ) semanticsZeichenregel (f) rule of signs
Zeichenwerkzeug (n) drawing in-
strumentzeichnen (vt, vi) draw, plot, trace
Zeichnen (n) drawing, drafting
Zeichner (m) draftsmanzeichnerisch (a) graphic(al)
Zeichnung (f) drawing, diagram,graph
Zeiger (m) index, subscript, super-
script; indicator, pointer
Zeigerablesung (f) pointer or in-
dicator readingZeigerausschl ag (m) pointer or
needle deflection
Zeigerpaar (n) pair of indices
Zeile (f) row
Zeilenindex (m) row index
Zeilenmatrix (f) row matrix
Zeilenmittel (n) row average
Zeit ( f ) timeZeitabschnitt (m) period of time
Zeitachse (f) time axis
zeitartig (a) time-likeZeitartigkeit (f) time likeness
Zeitdauer (f) duration, period
Zeitdimension ( f ) time dimension
Zeiteinhei t (f) time unit
Zeitgleichung ( f ) time equation
127
Zeitint egra 1 (n) time integral
Zeitintervall (n) time interval
Zeitkoordinate (f) time coordinateZeitkur ve (f) time curvezeitl ich (a) temporal, timeZeitmass (n) measure or unit of timeZeitm esser (m) time piece, chronome-
ter
Zeitminu te ( f ) minute of timeZeitmittel (n) time averageZeitpunkt (m) point of time, instant
Zeitr aum (m) interval, periodZeitrechnung (f) chronologyZeitreihe ( f ) time series
Zeitr eihenzerlegung ( f ) analysis of a
time series
Zeitr en te ( f ) annuity certainZeits ekunde ( f ) second of timeZeits er ie (f) time series
Zeitspanne (f) period of timeZeitum kehrprobe ( f ) time reversal test
Zeitweg kurve ( f ) time-path curveZeitweiser (m) calendarZelle (f) cell
Z e n i t (m) zenith
Zeni tabst and (m), Zenitdistanz (f)
zenith distance, coaltitudeZeni tpu nkt (m) zenith pointzentesimal (a) centesimalZentigrad (m) centigradeZenti. meter (n) centimeterZentra (npl) centra, centersZentraf lache (f) surface of centers,
center surface, centro- surface
(= Evolutenf lache )
zentr al (a) centralZentral achs e (f) central axis
Zentralbewegung ( f ) central motionZentral e (f) line of centersZentral feld ( n) central field
zentralisieren (vt) centralizeZentralisierung ( f ) centralizationZentral kegelschnitt (m) central conicZentral kollineation (f) central colline-
ation
Zentralperspekti ve ( f ) central perspec-tive
Zentralproj ektion (f) central projec-tion
Zentralpunkt (m) central point
Zentralsymmetrie (f) central symmetryzentr alsymmetrisch (a) centrally sym-
metricZentral wert (m) median
Zentraman tel (m) middle envelopezentrieren (vt) center.
Zentrierung ( f ) centeringzentrifugal (a) centrifugalZentrifugalbewegung ( f ) centrif-
ugal motionZentrifugalkraft ( f ) centrifugal
force
zentripet al (a) centripetalZentripetalbewegung ( f ) centripetal
motionZentripetalkraf t (f) centripetal forcezentr isch (a) centralzentrischsymmetrisch (a) central -
sym metricalZentriwinkel (m) central angleZent rum (n) center, centralZerfa 11 (m) decompositionzerf all en (vi) decompose, decayzerfa 11 en (vt) decomposeZerfallung (f) decompositionZerf a llun gs korper (m) decomposi-
tion or splitting field
zergl ie dern (vt) dissect; analyzeZergliedrung (f) dissection; anal--
ysis
Zerk leinerungsgrad (m) reductionratio
zerlauf en (vi) spread out, diffuse
zerl egb ar (a) decomposable, fac-
torable
Zerlegbar keit ( f ) decomposability,factorability
zerlegen (vt) decompose, factor,
split up ; analyzeZerlegung ( f ) decomposition, fac-
torization; analysis
Zerlegungssatz (m) Laplace's ex-
pansion theoremzerschn eiden (vt) cut up, dissect
Zerschneidung (f) dissection
zerspalten (vt) split up
Zerspal tung ( f ) splitting up
zerstreuen (vt, vr) disperse, scatter,
spreadZerstreuung ( f ) dispersion, scattering
Zeta (n) Greek letter zeta (Z,£)zickz ack (a) zigzagZickzacklinie ( f ) zigzag line
Ziehen (vt) draw; extract (a root)
Ziehung (f) drawing; extraction ( of
a root)
Ziffer (f) numeral, digit, figure;
rate, ratio
128
Ziffernmaschine ( f ) digital computingmachine
Ziffernschtift ( f ) numeral or numberscript
Ziffernsprache ( f ) numeral or numberlanguage
Ziffernsumme ( f ) sum of digits
Zins (m) rent; (mpl) interest
Zinsenber echnun g (f) computation of
int er es t
Zinsenertrag (m) yield of interest
Zinsenrechnung (f) method of com-puting interest
Zinsenzu w a chs (m) accrued interest
Zi nsesz ins (mpl) compound interestZinseszinsformel (f) compound interest
formulaZinseszinsrechnung (f) method of com-
pound interest computationZ insfaktor (m) interest factorZinsfuss (m) interest rate
z in si os (a) non - int eres t - bearingZinsperiode ( f ) interest periodZi nsr echnung ( f ) method of computing
int er es t
Zirkel (m) circle; compass, dividers
Zir keleinsa tz (m) point of compasses;insertion of the needle point of
compasses or dividers
Zir kelspitze (f) needle point of com-passes, point of dividers
Zirkelz ah 1 (f) circular numberZirkulante (f) cyclic determinant, cir-
cu lant
zir kular (a), zirkular (a) circular,
zirkulares Geradenpaar:pair of isotropic or minimal lines
Zirkularz ahl (f) circular numberzirkumpolar (a) circumpolarZirkumpolarstern (m) circumpolar
star
Zissoide (f) cissoid
Zodiak (m) zodiacZodiak all icht (n) zodiacal light
Zoll ( m) i nchZufall (m) accident, chancezuf al lig (a) accidental, chance, ran-
domzufallig (adv) -at random, accidentally
Zu fa lligkeit (f) randomnessZufallsapparat (m) Galton's boardZufallscharakter (m) randomnessZufallsgesetz (n) law of chanceZufallskurve (f) Galtonian curve
Zufallsnatu r ( f ) randomnessZufallsschwankung ( f ) random fluc-
tuationZufallsstr euung (f) empirical dis-
persion
Zufallsursache (f) random causeZug (m) circuit, path, track; closed
curve (on Riemann surface);drawing (of a ball); (phys.)pull, tension
zugeho rig (a) belonging to, perti-
nentzugekehrt (a) turning towards.
zugekehrte Spitze: rhamphoidcusp
zugeordnet (a) associated, coordi-nated, corresponding
zu gewandt ( a ) = zugekehrtZu gf estigkeit (f) tensile strength
Zuggrenz e (f) elastic limit
Zugkraft(f) tensile force
z u g 1 e i c h (a) simultaneouslyZuglinie (f) tractrix
zulassig (a) admissible, permissibleZunahme ( f ) increase, incrementzu nehmen (vi) increase, ascendZunge ( f ) slide (of a slide rule),
pointer (of a balance)zuordnen ( vt) associate, coordinate,
mapZuordnung (f) coordination, cor-
relation, correspondencezuruckfiihrbar (a) reduciblezu ruck fithren (vt) reduceZuru'ckfiihrung (f) reductionZuriickgehen (n) recurrencezuriickkehren (vi) return, revert
zuriicklegen (vt) cover, travel
Zuriicktransformieren (n) reverse or
inverse transformationzuruckwerfen (vt) reflect
Zurilckwerfung (f) reflection
zuruckziehen (vt) withdrawzusammendruckbar (a) compressibleZusammendruckbarkeit ( f ) compres-
sibility
zusammendrucken (vt) compress
Zusam mendriickung ( f ) compression
zusammenf alien (vi) coincide
Zusammenfallen (n) coincidencezusammenfassen (vt) collect, com-
bine, sum up
zusammengesetz t (a) composite, compound
129
Zusammenh ang (m) connection, connec-tivity, relationship
zusammenhangen (vi) be connectedzusammenhangend (a) connectedZusammenh angsgrad (m) degree of con-
nectivityZusammenhangsverhaltnis (n) connec-
tivity ratio
Zusammenhangszahl (f) connectivitynumber
z u s a ... ,-T e n 1 a u f e n (vi) convergeZusammenlaufen (n) convergencezusammenlaufend (a) convergentZusammenklammerung (f) parenthesizingzusammenrechnen (vt) add upzusammenrollen (vt, vr) roll together,
roll up
zusammensetzen (vt) put together, com-bine, compose; (vr) be composed
Zusammensetzung (f) combination, com-position
zusammenstellen (vt) put together,
compil e
Zusammenst el lung (f) compilation,tabul ation
Zusamm ensetzungs vorschrif t (f) rule of
combination or compositionZusamm enstoss (m) collision
zusammenstossen (vi) collide
zusamm entreffen (vi) meet, collideZusammentreffen (n) meeting; col-
lision
zusammenzahlen (vt) add (together),
cast up (a column)Zusatz (m) additionZusatzbedingung ( f ) extra conditionZusatzglied (n) added or extra termzusatzlich (a) additionalZustand (m) state
Zustandsanderung (f) change of state
Zustandsgleichung ( f ) equation of state
zutreff en (vi) be valid, holdZuwachs (m) increment, increasezuwachsen (vi) accrue, be addedZu wachsrate ( f ) rate of increaseZ- Verteilung (f) Z-distributionz w anzig twentyZwanzigf lach (n) icosahedronz wanzigflachig (a) icosahedralZwanzigflachner (m) icosahedronzwanzigst twentiethZweck (m) end, purposezweckmassig (a) purposefulzwei two
Zwei (f) twozweiachsig (a) biaxialzweiastig (a) two-branchedZweiblatt (n) double foliumzweiblattrig (a) two-sheetedzweideutig (a) two-valuedZweideutigkeit (f) two- valu ednesszweidimensional (a) two-dimen-
sional
Zweidimensionalitat ( f ) bidimen-sionality
Zweieck (n) lune
Zweier (m) twoZweiersystem (n) binary or dyadic
systemzweifach (a) two-fold, doubleZweiflach (n) dihedral, dihedronz weiflachig (a) two-sided, dihedralZweiflachner (m) dihedral, dihed-
ron
Zweig (m) branchz weigipf elig (a) bimodalzweigliedrig (a) two-term, two-
place, binomial; binary, dyadicZweihornkurve (f) cocked hat, bi-
corn
z w eihundert two hundredZweikorper problem (n) two-body
probl emzweimal twicezweimalig (a) twice
Zweiparameterschar ( f ) two- parameterfamily
zweipunktig (a) two-pointZweipunktperspektive (f) two-point
perspecti ve
zweireihig (a) two-rowzweischalig (a) two-sheet, parted
zweischarig (a) doubly ruled
zweiseitig (a) two-sided, bilateral
Zweiseitigkeit ( f ) two-sidednesszweiseitig- symmetrisch (a) bilater-
ally symmetricZweispitz (m) bicuspid
zweispitzig (a) bicuspid
zweistellig (a) two-place, two-figure , two-digit
z weit secondZweitafelprojektion (f) two-plane
proj ection
zweiteilig (a) bipartiteZ weiteilkurve (f) bipartite curveZweiteilung (f) division in two
parts, bisection
130
z weitens (adv) secondlyzweiwertig (a) two-valuedZweiwertigkeit ( f ) t wo - valuednessZ w e i z a h 1 (f) dyadz weiz ahlig (a) binary, twofoldZ wickebene ( f ) pinch planeZ wickel (m) gore
Zwickpunkt (m) pinch point
z wiefach (a) twofold, doublezwiefaltig (a) twofoldZwilling ( m ) twin
Z willingskris tall (m) twin crystal
Z willingsprism a (n) biprismz wischen (prep ) betweenZwischenbahn (f) intermediate pathZwischenbild (n) intermediate imageZwischenform (f) intermediate formZwischenglied (n) intermediate termZ wischengruppe (f) intermediate groupZwischenkorper (m) intermediate field
Zwischenparameter (m) mixed param-eter
Zwischenraum (m) interspace, interval
Zwischenrechnung ( f ) intermediatecomputation
Z wischenschicht (f) intermediate layer
Zwischenstuf e (f) intermediate stage
Zwischensumme (f) partial sumZ wischenty pus (m) intermediate type
Z wischenw ert ( m ) intermediate valueZ wischenzeit (f) time interval, inter-
vening timeZ wischenzustand (m) intermediate
state
z wolf twelveZ wolf eck (n) dodecagonz wolfeckig (a) dodecagonalZ wolf ersystem (n) duodecimal system
Z wolf flach (n) dodecahedronz wolff lachig (a) dodecahedralZwolf flachner (m) dodecahedronz wolft twelfthZykel ( m ) c y c i e
Zykeltheorie ( f ) cycle theory
Zyklante (f) circulantZyklide (f) cyclidezyklisch (a) cyclicZyklograph (m) arcograph, cyclographZyklographie ( f ) cyclographyZ y kloide (f) cycloidZykloidenabschnitt (m) section of
cycloidZykloidenbahn ( f ) cycloidal path
Zy kloidenbogen (m) cycloidal arc
Zykloidenflache (f) cycloidal sur-
face or area
Zy kloidenpendel (n) cycloidal pen-dulum
zy kloidisch (a) cycloidalZyklometrie ( f ) cyclometryzy klometrisch (a) inverse trigo-
nometric, inverse circular, anti-
trigonometric, arc- trigonometricZy klotron (n) cyclotronZy klus (m) cycleZylinder (m) cylinderZylindererzeugende (f) ruling or
element of a cylinderZy linderf lache (f) cylindrical sur-
facezy linderformig (a) cylindrical
Zylinderfunktion (f) cylindrical
or Bessel function
Zy linderhuf (m) ungula of a cylin-
der
Zy linderinhalt (m) volume of cy-
linder
Zylinderkoordinate (f) cylindrical
coordinateZylinderproj ektion (f) cylindrical
proj ection
Zylinderradius (m) radius of cy-
linder
Zylinderstumpf (m), Zy linders tutz
(m) ungula of a cylinder
Zylindersymmetrie (f) cylindrical
symmetryZylinderwelt (f) cylindrical world
zylindrisch (a) cylindrical
Zy lindroid (n) cylindroid
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