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Transcript of DataMining and OLAP Technology Concepts - Quontra Solutions
7/21/2019 DataMining and OLAP Technology Concepts - Quontra Solutions
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Bktk ^krfdiusjcn kcb
IEK_ Rfhdcieiny
Xfptfmlfr <;, <?;2 ;
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Rfhdcjqufs
Xfptfmlfr <;, <?;2 <
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Bktk ^krfdiusjcn kcb IEK_ Rfhdcieiny1 Kc Ivfrvjfw
^dkt js k bktk wkrfdiusf9
K muetj-bjmfcsjicke bktk mibfe
Bktk wkrfdiusf krhdjtfhturf
Bktk wkrfdiusf jmpefmfctktjic
Grim bktk wkrfdiusjcn ti bktk mjcjcn
8Xfptfmlfr <;, <?;2
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Xfptfmlfr <;, <?;2 2
^djhd krf iureiwfst/djndfst mkrnjc
hustimfrs 9
^di krf my hustimfrskcb wdkt pribuhts
krf tdfy luyjcn9
^djhd hustimfrs
krf mist ej`fey ti niti tdf himpftjtjic 9
^dkt jmpkht wjeecfw pribuhts/sfrvjhfs
dkvf ic rfvfcuf
kcb mkrnjcs9
^dkt pribuht prim-
-itjics dkvf tdf ljnnfstjmpkht ic rfvfcuf9
^dkt js tdf mistfggfhtjvf bjstrjlutjic
hdkccfe9
K pribuhfr wkcts ti `ciw….
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^dkt js Bktk ^krfdiusf9
Bfgjcfb jc mkcy bjggfrfct wkys, lut cit rjniriusey.
◧ K bfhjsjic suppirt bktklksf tdkt js mkjctkjcfb sfpkrktfey grim
tdf irnkcjzktjic‚s ipfrktjicke bktklksf
◧ Xuppirt jcgirmktjic prihfssjcn ly privjbjcn k siejb pektgirm ig
hicsiejbktfb, djstirjhke bktk gir kckeysjs.
―K bktk wkrfdiusf js k sulafht-irjfctfb, jctfnrktfb, tjmf-vkrjkct,
kcb cicviektjef hieefhtjic ig bktk jc suppirt ig mkcknfmfct‚s
bfhjsjic-mk`jcn prihfss.”‒^. D. Jcmic Bktk wkrfdiusjcn1
◧ Rdf prihfss ig hicstruhtjcn kcb usjcn bktk wkrfdiusfs
6Xfptfmlfr <;, <?;2
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Bktk ^krfdiusf‒Xulafht-Irjfct
Irnkcjzfb kriucb mkair sulafhts, suhd ks hustimfr,
pribuht, skefs
Gihusjcn ic tdf mibfejcn kcb kckeysjs ig bktk gir
bfhjsjic mk`frs, cit ic bkjey ipfrktjics ir trkcskhtjic
prihfssjcn
_rivjbf k sjmpef kcb hichjsf vjfw kriucb pkrtjhuekr
sulafht jssufs ly fxheubjcn bktk tdkt krf cit usfgue jc
tdf bfhjsjic suppirt prihfss
Xfptfmlfr <;, <?;2 7
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Bktk ^krfdiusf‒Jctfnrktfb
Hicstruhtfb ly jctfnrktjcn muetjpef, dftfrinfcfius
bktk siurhfs
◧ rfektjicke bktklksfs, gekt gjefs, ic-ejcf trkcskhtjic rfhirbs
Bktk hefkcjcn kcb bktk jctfnrktjic tfhdcjqufs krfkppejfb.
◧ Fcsurf hicsjstfchy jc ckmjcn hicvfctjics, fchibjcn
struhturfs, kttrjlutf mfksurfs, fth. kmicn bjggfrfct bktk
siurhfs
F.n., Ditfe prjhf1 hurrfchy, tkx, lrfk`gkst hivfrfb, fth.
◧ ^dfc bktk js mivfb ti tdf wkrfdiusf, jt js hicvfrtfb.
Xfptfmlfr <;, <?;2 >
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Bktk ^krfdiusf‒Rjmf
Wkrjkct
Rdf tjmf dirjzic gir tdf bktk wkrfdiusf js sjncjgjhkctey
eicnfr tdkc tdkt ig ipfrktjicke systfms
◧ Ipfrktjicke bktklksf1 hurrfct vkeuf bktk
◧ Bktk wkrfdiusf bktk1 privjbf jcgirmktjic grim k djstirjhke
pfrspfhtjvf (f.n., pkst 6-;? yfkrs)
Fvfry `fy struhturf jc tdf bktk wkrfdiusf
◧
Hictkjcs kc fefmfct ig tjmf, fxpejhjtey ir jmpejhjtey◧ Lut tdf `fy ig ipfrktjicke bktk mky ir mky cit hictkjc
―tjmf fefmfct”
Xfptfmlfr <;, <?;2 4
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Bktk ^krfdiusf‒
Cicviektjef
K pdysjhkeey sfpkrktf stirf ig bktk trkcsgirmfb grim tdf
ipfrktjicke fcvjricmfct
Ipfrktjicke upbktf ig bktk bifs cit ihhur jc tdf bktk
wkrfdiusf fcvjricmfct
◧ Bifs cit rfqujrf trkcskhtjic prihfssjcn, rfhivfry, kcb
hichurrfchy hictrie mfhdkcjsms
◧ \fqujrfs icey twi ipfrktjics jc bktk khhfssjcn1
jcjtjke eikbjcn ig bktk kcb khhfss ig bktk
Xfptfmlfr <;, <?;2 :
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Bktk ^krfdiusf vs. Dftfrinfcfius BLMX
Rrkbjtjicke dftfrinfcfius BL jctfnrktjic1 K qufry brjvfc kpprikhd
◧ Lujeb wrkppfrs/mfbjktirs ic tip ig dftfrinfcfius bktklksfs
◧ ^dfc k qufry js pisfb ti k hejfct sjtf, k mftk-bjhtjickry js usfb ti
trkcsektf tdf qufry jcti qufrjfs kppriprjktf gir jcbjvjbuke
dftfrinfcfius sjtfs jcvievfb, kcb tdf rfsuets krf jctfnrktfb jcti k
neilke kcswfr sft
◧ Himpefx jcgirmktjic gjetfrjcn, himpftf gir rfsiurhfs
Bktk wkrfdiusf1 upbktf-brjvfc, djnd pfrgirmkchf
◧ Jcgirmktjic grim dftfrinfcfius siurhfs js jctfnrktfb jc kbvkchf
kcb stirfb jc wkrfdiusfs gir bjrfht qufry kcb kckeysjs
Xfptfmlfr <;, <?;2 ;?
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Bktk ^krfdiusf vs. Ipfrktjicke BLMX
IER_ (ic-ejcf trkcskhtjic prihfssjcn)
◧ Mkair tks` ig trkbjtjicke rfektjicke BLMX
◧ Bky-ti-bky ipfrktjics1 purhdksjcn, jcvfctiry, lkc`jcn,
mkcugkhturjcn, pkyriee, rfnjstrktjic, khhiuctjcn, fth.
IEK_ (ic-ejcf kckeytjhke prihfssjcn)
◧
Mkair tks` ig bktk wkrfdiusf systfm◧ Bktk kckeysjs kcb bfhjsjic mk`jcn
Bjstjcht gfkturfs (IER_ vs. IEK_)1
◧ Vsfr kcb systfm irjfctktjic1 hustimfr vs. mkr`ft
◧
Bktk hictfcts1 hurrfct, bftkjefb vs. djstirjhke, hicsiejbktfb◧ Bktklksf bfsjnc1 F\ + kppejhktjic vs. stkr + sulafht
◧ Wjfw1 hurrfct, eihke vs. fvieutjickry, jctfnrktfb
◧ Khhfss pkttfrcs1 upbktf vs. rfkb-icey lut himpefx qufrjfs
Xfptfmlfr <;, <?;2 ;;
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IER_ vs. IEK_IER_ IEK_
usfrs hefr`, JR prigfssjicke `ciwefbnf wir`fr
guchtjic bky ti bky ipfrktjics bfhjsjic suppirt
BL bfsjnc kppejhktjic-irjfctfb sulafht-irjfctfb
bktk hurrfct, up-ti-bktf
bftkjefb, gekt rfektjicke
jsiektfb
djstirjhke,
summkrjzfb, muetjbjmfcsjicke
jctfnrktfb, hicsiejbktfb
usknf rfpftjtjvf kb-dih
khhfss rfkb/wrjtf
jcbfx/dksd ic prjm. `fy
eits ig shkcs
ucjt ig wir` sdirt, sjmpef trkcskhtjic himpefx qufry
# rfhirbs khhfssfb tfcs mjeejics
#usfrs tdiuskcbs ducbrfbs
BL sjzf ;??ML-NL ;??NL-RL
mftrjh trkcskhtjic tdriundput qufry tdriundput, rfspicsf
;8Xfptfmlfr <;, <?;2
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Kppejhktjic-Irjfctktjic vs. Xulafht-Irjfctktjic
Xfptfmlfr <;, <?;2 ;2
Kppejhktjic-Irjfctktjic
Ipfrktjicke
Bktklksf
EikcsHrfbjtHkrb
Rrust
Xkvjcns
Xulafht-Irjfctktjic
Bktk
^krfdiusf
Hustimfr
Wfcbir
_ribuht
Khtjvjty
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^krfdiusf9
Djnd pfrgirmkchf gir litd systfms◧ BLMX‒ tucfb gir IER_1 khhfss mftdibs, jcbfxjcn, hichurrfchy
hictrie, rfhivfry
◧ ^krfdiusf‒tucfb gir IEK_1 himpefx IEK_ qufrjfs,
muetjbjmfcsjicke vjfw, hicsiejbktjic
Bjggfrfct guchtjics kcb bjggfrfct bktk1
◧ mjssjcn bktk1 Bfhjsjic suppirt rfqujrfs djstirjhke bktk wdjhd
ipfrktjicke BLs bi cit typjhkeey mkjctkjc
◧ bktk hicsiejbktjic1 BX rfqujrfs hicsiejbktjic (knnrfnktjic,
summkrjzktjic) ig bktk grim dftfrinfcfius siurhfs
◧ bktk qukejty1 bjggfrfct siurhfs typjhkeey usf jchicsjstfct bktk
rfprfsfctktjics, hibfs kcb girmkts wdjhd dkvf ti lf rfhichjefb
Citf1 Rdfrf krf mirf kcb mirf systfms wdjhd pfrgirm IEK_
kckeysjs bjrfhtey ic rfektjicke bktklksfs
Xfptfmlfr <;, <?;2 ;6
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Ri summkrjzf ...
Xfptfmlfr <;, <?;2 ;7
IER_ Xystfms krf
usfb ti ―ruc” k lusjcfss
Rdf Bktk ^krfdiusfdfeps ti ―iptjmjzf” tdf
lusjcfss
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Bktk ^krfdiusjcn kcb IEK_
Rfhdcieiny1 Kc Ivfrvjfw
^dkt js k bktk wkrfdiusf9
K muetj-bjmfcsjicke bktk mibfe
Bktk wkrfdiusf krhdjtfhturf
Bktk wkrfdiusf jmpefmfctktjic
Grim bktk wkrfdiusjcn ti bktk mjcjcn
Xfptfmlfr <;, <?;2 ;>
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Grim Rklefs kcb Xprfkbsdffts ti Bktk Hulfs
K bktk wkrfdiusf js lksfb ic k muetjbjmfcsjicke bktk mibfe wdjhdvjfws bktk jc tdf girm ig k bktk hulf
K bktk hulf, suhd ks skefs, keeiws bktk ti lf mibfefb kcb vjfwfb jc
muetjpef bjmfcsjics
◧ Bjmfcsjic tklefs, suhd ks jtfm (jtfmYckmf, lrkcb, typf), ir
tjmf(bky, wff`, mictd, qukrtfr, yfkr)
◧ Gkht tklef hictkjcs mfksurfs (suhd ks bieekrsYsieb) kcb `fys ti
fkhd ig tdf rfektfb bjmfcsjic tklefs
Jc bktk wkrfdiusjcn ejtfrkturf, kc c-B lksf hulf js hkeefb k lksf
hulijb. Rdf tip mist ?-B hulijb, wdjhd diebs tdf djndfst-efvfe ig
summkrjzktjic, js hkeefb tdf kpfx hulijb. Rdf ekttjhf ig hulijbs
girms k bktk hulf.
Xfptfmlfr <;, <?;2 ;4
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Hulf1 K Ekttjhf ig Hulijbs
Xfptfmlfr <;, <?;2 ;:
tjmf,jtfm
tjmf,jtfm,eihktjic
tjmf, jtfm, eihktjic, suppejfr
kee
tjmf jtfm eihktjic suppejfr
tjmf,eihktjic
tjmf,suppejfr
jtfm,eihktjic
jtfm,suppejfr
eihktjic,suppejfr
tjmf,jtfm,suppejfr
tjmf,eihktjic,suppejfr
jtfm,eihktjic,suppejfr
?-B(kpfx) hulijb
;-B hulijbs
<-B hulijbs
8-B hulijbs
2-B(lksf) hulijb
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Hichfptuke Mibfejcn ig Bktk ^krfdiusfs
Mibfejcn bktk wkrfdiusfs1 bjmfcsjics & mfksurfs◧ Xtkr shdfmk1 K gkht tklef jc tdf mjbbef hiccfhtfb ti k sft ig
bjmfcsjic tklefs
◧ Xciwgek`f shdfmk1 K rfgjcfmfct ig stkr shdfmk wdfrf
simf bjmfcsjicke djfrkrhdy js cirmkejzfb jcti k sft ig
smkeefr bjmfcsjic tklefs, girmjcn k sdkpf sjmjekr ti
sciwgek`f
◧
Gkht hicstfeektjics1 Muetjpef gkht tklefs sdkrf bjmfcsjictklefs, vjfwfb ks k hieefhtjic ig stkrs, tdfrfgirf hkeefb
nkekxy shdfmk ir gkht hicstfeektjic
Xfptfmlfr <;, <?;2 <?
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Fxkmpef ig Xtkr Xhdfmk
Xfptfmlfr <;, <?;2 <;
tjmfY`fy
bky
bkyYigYtdfYwff`
mictd
qukrtfr
yfkr
tjmf
eihktjicY`fy
strffthjty
stktfYirYprivjchf
hiuctry
eihktjic
Xkefs Gkht Rklef
tjmfY`fy
jtfmY`fy
lrkchdY`fy
eihktjicY`fy
ucjtsYsieb
bieekrsYsieb
kvnYskefs
Mfksurfs
jtfmY`fy
jtfmYckmf
lrkcb
typf
suppejfrYtypf
jtfm
lrkchdY`fy
lrkchdYckmf lrkchdYtypf
lrkchd
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Fxkmpef ig Xciwgek`f Xhdfmk
Xfptfmlfr <;, <?;2 <<
tjmfY`fy
bky
bkyYigYtdfYwff`
mictd
qukrtfr
yfkr
tjmf
eihktjicY`fy
strfft
hjtyY`fy
eihktjic
Xkefs Gkht Rklef
tjmfY`fy
jtfmY`fy
lrkchdY`fy
eihktjicY`fy
ucjtsYsiebbieekrsYsieb
kvnYskefs
Mfksurfs
jtfmY`fy
jtfmYckmf
lrkcb
typf
suppejfrY`fy
jtfm
lrkchdY`fy
lrkchdYckmf lrkchdYtypf
lrkchd
suppejfrY`fy
suppejfrYtypf
suppejfr
hjtyY`fy
hjty
stktfYirYprivjchf
hiuctry
hjty
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Fxkmpef ig Gkht Hicstfeektjic
Xfptfmlfr <;, <?;2 <8
tjmfY`fy
bky
bkyYigYtdfYwff`
mictd
qukrtfr
yfkr
tjmf
eihktjicY`fy
strffthjty
privjchfYirYstktf
hiuctry
eihktjic
Xkefs Gkht Rklef
tjmfY`fy
jtfmY`fy
lrkchdY`fy
eihktjicY`fy
ucjtsYsieb
bieekrsYsieb
kvnYskefs
Mfksurfs
jtfmY`fy
jtfmYckmf
lrkcb
typf
suppejfrYtypf
jtfm
lrkchdY`fy
lrkchdYckmf lrkchdYtypf
lrkchd
Xdjppjcn Gkht Rklef
tjmfY`fy
jtfmY`fy
sdjppfrY`fy
grimYeihktjic
tiYeihktjic
bieekrsYhist
ucjtsYsdjppfb
sdjppfrY`fy
sdjppfrYckmf
eihktjicY`fysdjppfrYtypf
sdjppfr
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Hulf Bfgjcjtjic Xyctkx (LCG) jc
BM[E
Hulf Bfgjcjtjic (Gkht Rklef)
bfgjcf hulf 5hulfYckmf3 P5bjmfcsjicYejst3]1
5mfksurfYejst3
Bjmfcsjic Bfgjcjtjic (Bjmfcsjic Rklef)
bfgjcf bjmfcsjic 5bjmfcsjicYckmf3 ks
(5kttrjlutfYirYsulbjmfcsjicYejst3)
Xpfhjke Hksf (Xdkrfb Bjmfcsjic Rklefs)
◧ Gjrst tjmf ks ―hulf bfgjcjtjic”
◧ bfgjcf bjmfcsjic 5bjmfcsjicYckmf3 ks
5bjmfcsjicYckmfYgjrstYtjmf3 jc hulf
5hulfYckmfYgjrstYtjmf3
Xfptfmlfr <;, <?;2 <2
B gj j Xt X d j
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Bfgjcjcn Xtkr Xhdfmk jc
BM[E
bfgjcf hulf skefsYstkr Ptjmf, jtfm, lrkchd, eihktjic]1
bieekrsYsieb = sum(skefsYjcYbieekrs), kvnYskefs =kvn(skefsYjcYbieekrs), ucjtsYsieb = hiuct(*)
bfgjcf bjmfcsjic tjmf ks (tjmfY`fy, bky, bkyYigYwff`,mictd, qukrtfr, yfkr)
bfgjcf bjmfcsjic jtfm ks (jtfmY`fy, jtfmYckmf, lrkcb,typf, suppejfrYtypf)
bfgjcf bjmfcsjic lrkchd ks (lrkchdY`fy, lrkchdYckmf,lrkchdYtypf)
bfgjcf bjmfcsjic eihktjic ks (eihktjicY`fy, strfft, hjty,privjchfYirYstktf, hiuctry)
Xfptfmlfr <;, <?;2 <6
B gj j X ge ` X d j
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Bfgjcjcn Xciwgek`f Xhdfmk jc
BM[E
bfgjcf hulf skefsYsciwgek`f Ptjmf, jtfm, lrkchd, eihktjic]1
bieekrsYsieb = sum(skefsYjcYbieekrs), kvnYskefs =
kvn(skefsYjcYbieekrs), ucjtsYsieb = hiuct(*)
bfgjcf bjmfcsjic tjmf ks (tjmfY`fy, bky, bkyYigYwff`, mictd,qukrtfr, yfkr)
bfgjcf bjmfcsjic jtfm ks (jtfmY`fy, jtfmYckmf, lrkcb, typf,
suppejfr(suppejfrY`fy, suppejfrYtypf))
bfgjcf bjmfcsjic lrkchd ks (lrkchdY`fy, lrkchdYckmf,
lrkchdYtypf)
bfgjcf bjmfcsjic eihktjic ks (eihktjicY`fy, strfft, hjty(hjtyY`fy,
privjchfYirYstktf, hiuctry))
Xfptfmlfr <;, <?;2 <7
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Bfgjcjcn Gkht Hicstfeektjic jc BM[E
bfgjcf hulf skefs Ptjmf, jtfm, lrkchd, eihktjic]1
bieekrsYsieb = sum(skefsYjcYbieekrs), kvnYskefs =kvn(skefsYjcYbieekrs), ucjtsYsieb = hiuct(*)
bfgjcf bjmfcsjic tjmf ks (tjmfY`fy, bky, bkyYigYwff`, mictd, qukrtfr, yfkr)
bfgjcf bjmfcsjic jtfm ks (jtfmY`fy, jtfmYckmf, lrkcb, typf, suppejfrYtypf)
bfgjcf bjmfcsjic lrkchd ks (lrkchdY`fy, lrkchdYckmf, lrkchdYtypf)
bfgjcf bjmfcsjic eihktjic ks (eihktjicY`fy, strfft, hjty, privjchfYirYstktf,hiuctry)
bfgjcf hulf sdjppjcn Ptjmf, jtfm, sdjppfr, grimYeihktjic, tiYeihktjic]1
bieekrYhist = sum(histYjcYbieekrs), ucjtYsdjppfb = hiuct(*)
bfgjcf bjmfcsjic tjmf ks tjmf jc hulf skefs
bfgjcf bjmfcsjic jtfm ks jtfm jc hulf skefsbfgjcf bjmfcsjic sdjppfr ks (sdjppfrY`fy, sdjppfrYckmf, eihktjic ks
eihktjic jc hulf skefs, sdjppfrYtypf)
bfgjcf bjmfcsjic grimYeihktjic ks eihktjic jc hulf skefs
bfgjcf bjmfcsjic tiYeihktjic ks eihktjic jc hulf skefs
Xfptfmlfr <;, <?;2 <>
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Mfksurfs ig Bktk Hulf1 Rdrff Hktfnirjfs
Bjstrjlutjvf1 jg tdf rfsuet bfrjvfb ly kppeyjcn tdf guchtjic tic knnrfnktf vkeufs js tdf skmf ks tdkt bfrjvfb ly kppeyjcn
tdf guchtjic ic kee tdf bktk wjtdiut pkrtjtjicjcn
F.n., hiuct(), sum(), mjc(), mkx()
Kenflrkjh1 jg jt hkc lf himputfb ly kc kenflrkjh guchtjic
wjtd M krnumfcts (wdfrf M js k liucbfb jctfnfr), fkhd ig
wdjhd js iltkjcfb ly kppeyjcn k bjstrjlutjvf knnrfnktf
guchtjic
F.n., kvn(), mjcYC(), stkcbkrbYbfvjktjic()
Diejstjh1 jg tdfrf js ci hicstkct liucb ic tdf stirknf sjzf
cffbfb ti bfshrjlf k sulknnrfnktf.
F.n., mfbjkc(), mibf(), rkc`()
Xfptfmlfr <;, <?;2 <4
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K Hichfpt Djfrkrhdy1 Bjmfcsjic (eihktjic)
Xfptfmlfr <;, <?;2 <:
kee
Furipf CirtdYKmfrjhk
MfxjhiHkckbkXpkjcNfrmkcy
Wkchiuvfr
M. ^jcbE. Hdkc
...
......
... ...
...
kee
rfnjic
iggjhf
hiuctry
RirictiGrkc`gurthjty
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Wjfw ig ^krfdiusfs kcb Djfrkrhdjfs
Xpfhjgjhktjic ig djfrkrhdjfs
Xhdfmk djfrkrhdy
bky 5 {mictd 5 qukrtfr0
wff`} 5 yfkr
XftYnriupjcn djfrkrhdy{;..;?} 5 jcfxpfcsjvf
Xfptfmlfr <;, <?;2 8?
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Muetjbjmfcsjicke Bktk
Xkefs vieumf ks k guchtjic ig pribuht,
mictd, kcb rfnjic
Xfptfmlfr <;, <?;2 8;
_ r i
b u h t
Mictd
Bjmfcsjics1 _ribuht, Eihktjic, Rjmf
Djfrkrhdjhke summkrjzktjic pktds
Jcbustry \fnjic Zfkr
Hktfniry Hiuctry [ukrtfr
_ribuht Hjty Mictd ^ff`
Iggjhf Bky
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K Xkmpef Bktk Hulf
Xfptfmlfr <;, <?;2 8<
Ritke kccuke skefsig RW jc V.X.K.
Bktf
H i u c t r
y
sum
sumRW
WH\_H
;[tr <[tr 8[tr 2[tr
V.X.K
Hkckbk
Mfxjhi
sum
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Hulijbs Hirrfspicbjcn ti tdf
Hulf
Xfptfmlfr <;, <?;2 88
kee
pribuht bktf hiuctry
pribuht,bktf pribuht,hiuctry bktf, hiuctry
pribuht, bktf, hiuctry
?-B(kpfx) hulijb
;-B hulijbs
<-B hulijbs
8-B(lksf) hulijb
L j B t
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Lriwsjcn k Bktk
Hulf
Wjsukejzktjic IEK_ hkpkljejtjfs
Jctfrkhtjvf Xfptfmlfr <;, <?;282
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Rypjhke IEK_ Ipfrktjics
\iee up (brjee-up)1 summkrjzf bktk
◧ ly hejmljcn up djfrkrhdy ir ly bjmfcsjic rfbuhtjic
Brjee biwc (riee biwc)1 rfvfrsf ig riee-up
◧ grim djndfr efvfe summkry ti eiwfr efvfe summkry ir bftkjefb
bktk, ir jctribuhjcn cfw bjmfcsjics
Xejhf kcb bjhf1 priafht kcb sfefht
_jvit (ritktf)1
◧ rfirjfct tdf hulf, vjsukejzktjic, 8B ti sfrjfs ig <B pekcfs
Itdfr ipfrktjics
◧ brjee khriss1 jcvievjcn (khriss) mirf tdkc icf gkht tklef
◧ brjee tdriund1 tdriund tdf littim efvfe ig tdf hulf ti jts lkh`-
fcb rfektjicke tklefs (usjcn X[E)
Xfptfmlfr <;, <?;2 86
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Xfptfmlfr <;, <?;2 87
Gjn. 8.;? Rypjhke IEK_Ipfrktjics
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K Xtkr-Cft [ufry Mibfe
Xfptfmlfr <;, <?;2 8>
Xdjppjcn Mftdib
KJ\-FT_\FXX
R\VH@I\BF\
Hustimfr Irbfrs
HICR\KHRX
Hustimfr
_ribuht
_\IBVHR N\IV_
_\IBVHR EJCF
_\IBVHR JRFM
XKEFX _F\XIC
BJXR\JHR
BJWJXJIC
Irnkcjzktjic_rimitjic
HJRZ
HIVCR\Z
\FNJIC
Eihktjic
BKJEZ[R\EZKCCVKEZRjmf
Fkhd hjrhef js
hkeefb k giitprjct
Hd t 8 B t ^ d j b
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Hdkptfr 81 Bktk ^krfdiusjcn kcb
IEK_ Rfhdcieiny1 Kc Ivfrvjfw
^dkt js k bktk wkrfdiusf9
K muetj-bjmfcsjicke bktk mibfe
Bktk wkrfdiusf krhdjtfhturf
Bktk wkrfdiusf jmpefmfctktjic
Grim bktk wkrfdiusjcn ti bktk mjcjcn
Xfptfmlfr <;, <?;2 84
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Bfsjnc ig Bktk ^krfdiusf1 K Lusjcfss Kckeysjs
Grkmfwir`
Giur vjfws rfnkrbjcn tdf bfsjnc ig k bktk wkrfdiusf◧ Rip-biwc vjfw
keeiws sfefhtjic ig tdf rfefvkct jcgirmktjic cfhfsskry gir tdf
bktk wkrfdiusf
◧ Bktk siurhf vjfw
fxpisfs tdf jcgirmktjic lfjcn hkpturfb, stirfb, kcb mkcknfb
ly ipfrktjicke systfms
◧ Bktk wkrfdiusf vjfw
hicsjsts ig gkht tklefs kcb bjmfcsjic tklefs
◧ Lusjcfss qufry vjfw
sffs tdf pfrspfhtjvfs ig bktk jc tdf wkrfdiusf grim tdf vjfw ig
fcb-usfr
Xfptfmlfr <;, <?;2 8:
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_rihfss
Rip-biwc, littim-up kpprikhdfs ir k himljcktjic ig litd◧ Rip-biwc1 Xtkrts wjtd ivfrkee bfsjnc kcb pekccjcn (mkturf)
◧ Littim-up1 Xtkrts wjtd fxpfrjmfcts kcb prititypfs (rkpjb)
Grim sigtwkrf fcnjcffrjcn pijct ig vjfw
◧ ^ktfrgkee1 struhturfb kcb systfmktjh kckeysjs kt fkhd stfp lfgirf
prihffbjcn ti tdf cfxt
◧ Xpjrke1 rkpjb nfcfrktjic ig jchrfksjcney guchtjicke systfms, sdirt
turc kriucb tjmf, qujh` turc kriucb
Rypjhke bktk wkrfdiusf bfsjnc prihfss
◧Hdiisf k lusjcfss prihfss ti mibfe, f.n., irbfrs, jcvijhfs, fth.
◧ Hdiisf tdf nrkjc (ktimjh efvfe ig bktk) ig tdf lusjcfss prihfss
◧ Hdiisf tdf bjmfcsjics tdkt wjee kppey ti fkhd gkht tklef rfhirb
◧ Hdiisf tdf mfksurf tdkt wjee pipuektf fkhd gkht tklef rfhirb
Xfptfmlfr <;, <?;2 2?
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Xfptfmlfr <;, <?;2 2;
Bktk ^krfdiusf1 K Muetj-Rjfrfb Krhdjtfhturf
Bktk
^krfdiusf
Fxtrkht
Rrkcsgirm
Eikb
\fgrfsd
IEK_ Fcnjcf
Kckeysjs
[ufry\fpirts
Bktk mjcjcn
Micjtir
&
JctfnrktirMftkbktk
Bktk Xiurhfs Grict-Fcb Riies
Xfrvf
Bktk Mkrts
IpfrktjickeBLs
Itdfr
siurhfs
Bktk Xtirknf
IEK_ Xfrvfr
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Rdrff Bktk ^krfdiusf Mibfes
Fctfrprjsf wkrfdiusf ◧ hieefhts kee ig tdf jcgirmktjic kliut sulafhts spkccjcn tdf
fctjrf irnkcjzktjic
Bktk Mkrt
◧k sulsft ig hirpirktf-wjbf bktk tdkt js ig vkeuf ti k spfhjgjhnriups ig usfrs. Jts shipf js hicgjcfb ti spfhjgjh, sfefhtfb
nriups, suhd ks mkr`ftjcn bktk mkrt
Jcbfpfcbfct vs. bfpfcbfct (bjrfhtey grim wkrfdiusf) bktk mkrt
Wjrtuke wkrfdiusf ◧ K sft ig vjfws ivfr ipfrktjicke bktklksfs
◧ Icey simf ig tdf pissjlef summkry vjfws mky lf
mktfrjkejzfb
Xfptfmlfr <;, <?;2 2<
Bfvfeipmfct1 K
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Bfvfeipmfct1 K
\fhimmfcbfb Kpprikhd
Xfptfmlfr <;, <?;2 28
Bfgjcf k djnd-efvfe hirpirktf bktk mibfe
Bktk
Mkrt
Bktk
Mkrt
Bjstrjlutfb
Bktk Mkrts
Muetj-Rjfr Bktk
^krfdiusf
Fctfrprjsf
Bktk
^krfdiusf
Mibfe rfgjcfmfct Mibfe rfgjcfmfct
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Bktk Mkrt Hfctrjh
Xfptfmlfr <;, <?;2 22
Bktk Mkrts
Bktk Xiurhfs
Bktk ^krfdiusf
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_rilefms wjtd Bktk Mkrt Hfctrjh
Xieutjic
Xfptfmlfr <;, <?;2 26
Jg yiu fcb up hrfktjcn muetjpef wkrfdiusfs,jctfnrktjcn tdfm js k prilefm
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Rruf ^krfdiusf
Xfptfmlfr <;, <?;2 27
Bktk Mkrts
Bktk Xiurhfs
Bktk ^krfdiusf
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Bktk ^krfdiusf Lkh`-Fcb Riies kcb Vtjejtjfs
Bktk fxtrkhtjic
◧ nft bktk grim muetjpef, dftfrinfcfius, kcb fxtfrcke siurhfs
Bktk hefkcjcn
◧ bftfht frrirs jc tdf bktk kcb rfhtjgy tdfm wdfc pissjlef
Bktk trkcsgirmktjic
◧ hicvfrt bktk grim efnkhy ir dist girmkt ti wkrfdiusf girmkt
Eikb
◧ sirt, summkrjzf, hicsiejbktf, himputf vjfws, hdfh` jctfnrjty,kcb lujeb jcbjhjfs kcb pkrtjtjics
\fgrfsd◧ pripknktf tdf upbktfs grim tdf bktk siurhfs ti tdf
wkrfdiusf
Xfptfmlfr <;, <?;2 2>
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Mftkbktk \fpisjtiry Mftk bktk js tdf bktk bfgjcjcn wkrfdiusf ilafhts. Jt stirfs1
Bfshrjptjic ig tdf struhturf ig tdf bktk wkrfdiusf
◧ shdfmk, vjfw, bjmfcsjics, djfrkrhdjfs, bfrjvfb bktk bfgc, bktk mkrt
eihktjics kcb hictfcts
Ipfrktjicke mftk-bktk
◧ bktk ejcfknf (djstiry ig mjnrktfb bktk kcb trkcsgirmktjic pktd),hurrfchy ig bktk (khtjvf, krhdjvfb, ir purnfb), micjtirjcn jcgirmktjic
(wkrfdiusf usknf stktjstjhs, frrir rfpirts, kubjt trkjes)
Rdf kenirjtdms usfb gir summkrjzktjic
Rdf mkppjcn grim ipfrktjicke fcvjricmfct ti tdf bktk wkrfdiusf
Bktk rfektfb ti systfm pfrgirmkchf
◧ wkrfdiusf shdfmk, vjfw kcb bfrjvfb bktk bfgjcjtjics
Lusjcfss bktk
◧ lusjcfss tfrms kcb bfgjcjtjics, iwcfrsdjp ig bktk, hdkrnjcn piejhjfs
Xfptfmlfr <;, <?;2 24
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IEK_ Xfrvfr Krhdjtfhturfs
\fektjicke IEK_ (\IEK_) ◧ Vsf rfektjicke ir fxtfcbfb-rfektjicke BLMX ti stirf kcb mkcknf
wkrfdiusf bktk kcb IEK_ mjbbef wkrf
◧ Jcheubf iptjmjzktjic ig BLMX lkh`fcb, jmpefmfctktjic ig
knnrfnktjic ckvjnktjic einjh, kcb kbbjtjicke tiies kcb sfrvjhfs
◧ Nrfktfr shkekljejty
Muetjbjmfcsjicke IEK_ (MIEK_)
◧ Xpkrsf krrky-lksfb muetjbjmfcsjicke stirknf fcnjcf
◧ Gkst jcbfxjcn ti prf-himputfb summkrjzfb bktk
Dylrjb IEK_ (DIEK_) (f.n., Mjhrisigt X[EXfrvfr)◧ Gefxjljejty, f.n., eiw efvfe1 rfektjicke, djnd-efvfe1 krrky
Xpfhjkejzfb X[E sfrvfrs (f.n., \fblrjh`s)
◧ Xpfhjkejzfb suppirt gir X[E qufrjfs ivfr stkr/sciwgek`f shdfmks
Xfptfmlfr <;, <?;2 2:
Bktk ^krfdiusjcn kcb IEK_
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Bktk ^krfdiusjcn kcb IEK_
Rfhdcieiny1 Kc Ivfrvjfw
^dkt js k bktk wkrfdiusf9
K muetj-bjmfcsjicke bktk mibfe
Bktk wkrfdiusf krhdjtfhturf
Bktk wkrfdiusf jmpefmfctktjic
Grim bktk wkrfdiusjcn ti bktk mjcjcn
Xfptfmlfr <;, <?;2 6?
Fggjhjfct Bktk Hulf
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Fggjhjfct Bktk Hulf
Himputktjic
Bktk hulf hkc lf vjfwfb ks k ekttjhf ig hulijbs◧ Rdf littim-mist hulijb js tdf lksf hulijb
◧ Rdf tip-mist hulijb (kpfx) hictkjcs icey icf hfee
◧ Diw mkcy hulijbs jc kc c-bjmfcsjicke hulf wjtd E efvfes9
Mktfrjkejzktjic ig bktk hulf
◧ Mktfrjkejzf fvfry (hulijb) (guee mktfrjkejzktjic), cicf (ci
mktfrjkejzktjic), ir simf (pkrtjke mktfrjkejzktjic)◧ Xfefhtjic ig wdjhd hulijbs ti mktfrjkejzf
Lksfb ic sjzf, sdkrjcn, khhfss grfqufchy, fth.
Xfptfmlfr <;, <?;2 6;
);;(
c
j j ER
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Hulf Ipfrktjic
Hulf bfgjcjtjic kcb himputktjic jc BM[E
bfgjcf hulf skefsPjtfm, hjty, yfkr]1 sum(skefsYjcYbieekrs)
himputf hulf skefs
Rrkcsgirm jt jcti k X[E-ej`f ekcnuknf (wjtd k cfw ipfrktirhulf ly, jctribuhfb ly Nrky ft ke.‚:7)
XFEFHR jtfm, hjty, yfkr, XVM (kmiuct)
G\IM XKEFX
HVLF LZ jtfm, hjty, yfkr
Cffb himputf tdf gieeiwjcn Nriup-Lys
( bktf, pribuht, hustimfr),
(bktf,pribuht),(bktf, hustimfr), (pribuht, hustimfr),
(bktf), (pribuht), (hustimfr)
()
Xfptfmlfr <;, <?;2 6<
(jtfm)(hjty)
()
(yfkr)
(hjty, jtfm) (hjty, yfkr) (jtfm, yfkr)
(hjty, jtfm, yfkr)
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Jhflfrn Hulf
Himputjcn icey tdf hulijb hfees wdisfhiuct ir itdfr knnrfnktfs sktjsgyjcn tdf
hicbjtjic ej`f
DKWJCN HIVCR(*) 3= mjcsup
Xfptfmlfr <;, <?;2 68
Mitjvktjic
Icey k smkee pirtjic ig hulf hfees mky lf ―klivf tdf wktfr‚‚
jc k spkrsf hulf
Icey hkehuektf ―jctfrfstjcn” hfees‒bktk klivf hfrtkjc
tdrfsdieb Kvijb fxpeisjvf nriwtd ig tdf hulf
• Xuppisf ;?? bjmfcsjics, icey ; lksf hfee. Diw mkcy
knnrfnktf hfees jg hiuct 3= ;9 ^dkt kliut hiuct 3= <9
J b j IEK_ B t Ljt
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Jcbfxjcn IEK_ Bktk1 Ljtmkp
Jcbfx
Jcbfx ic k pkrtjhuekr hieumc Fkhd vkeuf jc tdf hieumc dks k ljt vfhtir1 ljt-ip js gkst
Rdf efcntd ig tdf ljt vfhtir1 # ig rfhirbs jc tdf lksf tklef
Rdf j -td ljt js sft jg tdf j -td riw ig tdf lksf tklef dks tdf vkeuf gir
tdf jcbfxfb hieumc
cit sujtklef gir djnd hkrbjckejty bimkjcs
Xfptfmlfr <;, <?;2 62
Hust \fnjic Rypf
H; Ksjk \ftkjeH< Furipf Bfkefr
H8 Ksjk Bfkefr
H2 Kmfrjhk \ftkje
H6 Furipf Bfkefr
\fhJB \ftkje Bfkefr
; ; ?
< ? ;
8 ? ;
2 ; ?
6 ? ;
fhJ Ksjk Furipf Kmfrjhk
; ; ? ?< ? ; ?
8 ; ? ?
2 ? ? ;
6 ? ; ?
Lksf tklef Jcbfx ic \fnjic Jcbfx ic Rypf
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Jcbfxjcn IEK_ Bktk1 Aijc Jcbjhfs
Aijc jcbfx1 AJ(\-jb, X-jb) wdfrf \ (\-jb, …)
X(X-jb, …)
Rrkbjtjicke jcbjhfs mkp tdf vkeufs ti k ejst ig
rfhirb jbs
◧ Jt mktfrjkejzfs rfektjicke aijc jc AJ gjef kcb
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