THIRUPATHY M
-
Upload
thirumaths -
Category
Documents
-
view
1 -
download
0
description
Transcript of THIRUPATHY M
NAMe .viane3h Re.NO : 3ssaoP leol6 CLA SS I. M. Se CmaT4)
Sub hnAralysi -
DATE25(tl2oa
Ica
Si rdt t Sindt
cot)Sdt
Sindt 2
S3-c omma ha d -1
Tha 9tas Tm et On R.H.
betom 20
S7tt) ndt
c4
tntegal ep&ntaiion for Tha DesinRn
Sum of a Souvio evie Pto 4 iad
) oeh
C C)
TO Pooe afundion ¬L C) Suth ra3
(.du) C Sa
n S
Sn-Sm
C
mi
m
C4 u) i ni
C Cu Ci)
Sn Sl Gelce
auth Setun CT)
Cu
YC(d».du)
C n)
Cs.de)- cf.d) n-) tAhe-4
Cn).de
1341 -C.Qu
Cte de) Ce
(eho
Rim S-S -o
142 1141 Cu0 od n
Gniven ta ron ond Onnees
Poin
pol ona nin,
ord P
Sa mon Qor in
,2. .
a.Tt D;+1 -itPe TtePA P
2 of jo;-)-CP:)o
e uations
fce - fto ) fte)-ttP, )* +f R)-F(P
3 wuteant Oh 3
eorem,
2ntl
l2 (2, 2
Delin aralvalusd fonion folm
h 2) dot CD: (2i)) 14 )
Sunticn oniroruj
2n Da 44ig
SbirO TRO h Tto) toE hinu
wed hon houJ
On B(o)
A SSUm ot Covtar ontaditt ton)
fca 4ft) for Som poipoinr
Poy hemn-yd ot
n 3
ThRoron
y;(2') C3-z) 9)-4o co for P\,a. .
y-fo)-o (9y-CiCaJ»o :i t.e.
Co 1 2
hosU DT (2i)fo
ForALh?
On1Odio hion C i ch
Ps- on
4 n
PostT AS Samu That
mcacoriclR
Aivnon eo pen Sat , d G2
S.Ccen 2e'caz
E tb 1G
ehoe Snt able 7o St
om. 6 Adding n both St
e ul 4t2)
C +l2 ce+ eE
wwett te r n
A fain Ect E'c2
EUE' e Grura
,0l
la. T
Prol - That o7 iren 0+ tu p0
G, & Ga StEco, RE'ct2 d COrn2) ceG
TO Ps0 othrra by
Eca and e ca2
E S( and e G2
S ItA2l+6
Sin ES co sat gon
moasusabO
Hen
pominatad Conv«7 en ThsDm Leb c
tatument:.
Sen un of fanins be
L s. S.t d in n on cx almost evet
where Cns x46) SuPPox
n s zo) Caxsb) nET hen
S.+ fEC.b1
tim n
feL Ta.Lj
Cti en be e a Seq can u ot That
Untion n Ca.L3
TO POve
Seuent o meal urask
untion on to bI a
Im
a nouon ThRD em
Than s mealurabu daY
- 4o0 3 Ao ien
EL Las
fe Cab]
Hen R P7ov ci)
b-
CoTollat ( well noðn
E, E o Lab
measMT able Snbs
ECE2 c
meas uTb
Than EN?'s N
Po
n
Cven That EL D.b
Lmm wo noun
GtvRn
141 1
int e N.9t
me-Cb-al c
-a) menled
b- -me
Fn-Ss S
Cn -)|6
SnS
Hanl prond
S % Cn o3m+bn sinna)
fereier
b
ic f-selstf-62
fc-Snta | dx
Hoym end'nunu lo97
e o.aFJ
2
2T -
tc tha SnfL? (6 2t T. do>n-1 2
On o 23
Sn
)
2 CaSn Cx)1*dx0
Cev fouTiQ paced3 oda
co-cid ct ffe2 Do 2n gire
T6 PoN
te hc
hox fud
fox xe CoT ad n -1. 2
post n14dollov R
SinCR
n h
hn ht) dnifom on Con
ftDdt n
outoJk1 bu inttdt
colt S
Co Le C3ut b Stn tdt
n iloy ml io
To
Suppoe fo Caunio Soyi
not n - bnSim)
Do.a3 TRon sn ConYJe)
Lee ho th n( convjod Fog
4han6A9y no Co herss Ao Soma
Sam imv Co B« O fo)
folod tkal
SnCx
n CohyeTZotor o m
ConveTSeJ
slat and ghean Gulo
Stament
ASSmn Tal
+ota eTivotine 8'c Lo b-go Qnd
aSSum& Tha d: ffovontiabt o* to oth
4cia cirinalivo f'cb en Shovo that The
Compos it Sunction Sa d:ftsenttab lo. f fotal
na c)ata) Lincar unton A )
CoPOS ion o
8'ca)
To PTOve funRion h-fq
ad cotaX driia
ca cL a ca) Proe That
h COHg - hta)+T (8 Ea hne
ane
Eay
NOO ha-8 ha)
Otiren
oon iao ofb
S
ayo-Sosmudon
GtOn C6 to
hco) -ha)=}C)(u )4el ecv) hooR Fb)-s0
hco -o)-f CbocY)-+CYil Csco)
her o
Gten tdad
odes toj to :
ScuetsAios
h Cos)ha f°c6) La' caay) (y E aty
4l vlEb (u)
whone S0 h
Hon ThA proot
Slab and Pe mie fondi0n
Statmet
Co A e Subse of r an ha : Ase ha ceninuous a+HaX
n
ASsum
n A I Cw#0.zinA Tha Sho tal Oponn OPen
Given
A an bpen Sub ot p an
Sbe Snaot of Ain eh
s
to ho coriuo parAta A53rm
darivaiv darvaiva 4 o on and oian 4
AgA.cnalu ing hon
t on Ca')
Con LO B)
Apn s
Ca) 3 ao opO CA opern
toaeo.c Aen
Stats od paov TO nt dor mula Auntdion
Statment AS Sum That an
of od Am ane QSAOTent?otble Arinaliyo
pot f pOtn+ of S.
on Open Sof Pn d
Such at on lio a aach
an CAne b uo
om Ca.b) Such To
m)
(ba)+
ivcn an pen Subet tn p'
eoIem f. a fo Screh TFot
atl a fn intrva engen
o
enuai 3) taa t cb-a] 3en C-, ) he opoite
aco fce)
fCo)
dine 2ioral Ta lo nla ko
Cc)Cn-< + o2ce)+
.Ca
lC0, n-m Jubin
mH
L
)
wrtlAn a n
ThR chain ula to
CPLL t)
(PAs) (E -ot)
- (t) CPCAD; b-a)
CC:M) (e)u = Af Cut)
A2on chafnTula The
continui T PTOR we hovMR
Cm)
* F Oom hoome
fCb f)=a c -gco
h= L m
(Pb)a) ¢( ptt):b-a)
C- roa)
Ca
Cnincn Tho
fCa.bS andC SubsetB
And moasuT obe
A Ont Cvle-G.O
pei 7uia oi me aun eqble
En-En)u
mCeuév) 2
CEn- En-1) u
2
disjoint mo aduTenbla
Fn maasuseqb Covolod na
TeEu-S -mE-me 5 2
2
LE -¬u-S En -mË nA
e-2
FTomO
m fn) mE Aim Lmen-man-
n-S
mEn n
Proot . HRnR
Griven TRad S boondod noaobo
An n on Ca.. 4mo
la bl-O mC m Yx La.bT
iven Eofa finite namber of poin
S o m Jo 9.9.
Sui 3icn 01 C m)
Sush Tha R
Suceas Poin e 3bdiy Son is
lan
fo each 2
t
Sin mRadurabl? unuic
E mcaurol
on Eu e E En mounob
Potibion m S:ET b ) E] J.u. fy
xeEu
umeu from
CSPT meu (fom
Cr3
ME
Ca)
B wa nown e eLtT
theorO