otomatik kontrol - eemdersnotlari.com - prof.dr.galip cansever ders notu
TRANSCRIPT
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8/9/2019 Otomatik Kontrol - Eemdersnotlari.com - Prof.dr.Galip Cansever Ders Notu
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >
@t`mntbf F`ctr`h
@t`mntbf F`ctr`h‒a IbrbŐ
Ur`d.Gr.Inhbp Jncsavar
Gars #>
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?
5>?:5>? @t`mntbf F`ctr`h
ÔĐratbm Iôravhbsb ; Ur`d.Gr.Inhbp JncsavarZľcľd ; N-?5>@dbs ; A-Oh`fA-mnbh ; jncsavarEybhgbz.agu.tr
GncľŐmn Znntharb ; Uzt >:->1, Jumn;>4-><
Gars Fbtnoľ ; J`ctr`h Zystam Acibcaarbci, C`rmnc Z. Cbsa,D`urtl Agbtb`c, K`lc Ybhhay ncg Z`cs, BZOC 5-79>-77199-5
Wnvsbya Agbhac Fbtnphnr ;•Nut`mntbj J`ctr`h Zystams, Oacknmbc Fu`, Abiltl Agbtb`c,Uractbja-Lnhh.
•Daagonjf ncg J`ctr`h Zystams, K.K. GbZtadnc`, BBB, N._. Ztuooarug,B.K. Ybhhbnms, Zjlnum‒s @uthbca Zarbas.•M`garc J`ctr`h Acibcaarbci, F. @intn, D`urtl Agbtb`c, ?55>,Uractbja Lnhh
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?4 Daorunry ?559 aamgarsc`thnrb.j`m :
GaĐarhacgbrma ;Tbza > % :5
Tbza ? % :5Dbcnh % 75
> . L n d t n . @t`mntbf F`ctr`h'a IbrbŐ? . L n d t n . Hnphns GôcøŐømø
: . L n d t n . Oh`f Gbynirnmhnr, ĵŐnrat NfľŐ Gbynirnmhnrľ7 . L n d t n . Dbzbfsah Zbstamharbc M`gahhacmasb1 . L n d t n . GbŐhb Wnfľmhnrľ GJ M`t`rhnr, >. Martaoa Zbstamhar4 . L n d t n . ?. Martaoa Zbstamhar va OnŐnrľm Ôhéøtharb9 . L n d t n . >. Rľh béb Zľcnvľ< . L n d t n . ?. Martaoa Zbstamhar va OnŐnrľm Ôhéøtharb2 . L n d t n . ?. Martaoa Zbstamhar va OnŐnrľm Ôhéøtharb> 5 . L n d t n . Fnrnrhľhľf> > . L n d t n . Zørafhb Lnh Lntnhnrľ> ? . L n d t n . Fôf Rar AĐrbharb> : . L n d t n . Fôf Rar AĐrbharb> 7 . L n d t n . ?. Rľh béb Zľcnvľ> 1 . L n d t n . Fôf Rar AĐrbharb
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?4 Daorunry ?559 aamgarsc`thnrb.j`m 7
G`Đngn `t`mntbf `hnrnf f`ctr`h agbhac sbstamhar snymnfhnobtmaz. ÔrcaĐbc bcsnc vøjugu, fb ou sbstamga snyľsľz f`ctr`hsbstamb vnr.
Fnc Őafarbmbzb f`ctr`h agac pncfrans vayn obr onŐfn ôrcaf,yøfsafhara éľfľhgľfén ngracnhbcbc `t`mntbf `hnrnf fnhp ntľŐľ bha
obrhbfta yøfsaharaf løjrahara gnln é`f `fsbkacbc tambc agbhmasb.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m 9
Mntamntbfsah M`gahhama; Dbzbfsah sbstambc ibrbŐ-éľfľŐ gnvrncľŐhnrľcľoahbrhayac gacfham tnfľmľcľ `huŐturmngľr.
ÔrcaĐbc obr f`ctr`h sbstamb `hnrnf sľjnfhľĐľ gacathacac(f`ctr`hagbhac) obr `gnyľ gøŐøcahbm. Ou sbstamga6
Gacatbm ibrbŐbcbc obr ôcamhb bŐhavb ga o`zuju ibrbŐbc sbstaméľfľŐľcgnfb atfbsbcb nznhtmnyn énhľŐmnsľgľr.
O`zuju Atfb; Zbstambc éľfľŐ gaĐarbcb tars (caintbd) `hnrnfatfbhayac vayn atfbhamaya maybhhb bŐnrattbr. AĐar sbstambc bébcgaøratbhmbŐsa bé o`zuju atfb, gľŐľcgn øratbhmbŐsa gľŐ o`zuju atfb ngľvarbhbr.
•`gn sľjnfhľĐľ éľfľŐ,•tarm`stnt nynrľ ibrbŐ,•`gn‒cľc fnpľsľcľc néľhľp fnpncmnsľ gn o`zuju atfbgbr.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m <
F`ctr`h; IbrbŐ‒ha `ycnynrnf (gaĐbŐtbraraf) bstacbhac éľfľŐľ ahga atma.
Néľf Gôciø(Éavrbm) F`ctr`h; Zbstamga éľfľŐ ôhéøhmaz,éľfľŐľc radarncs bŐnratbcb ynfnhnynobhgbĐbcb inrnctbhayajaf, éľfľŐ‒niôra ibrbŐb gøzahtajaf bŐnrat y`ftur.
Fnpnhľ Gôciø(Éavrbm) F`ctr`h (Iarb oashamahb F`ctr`h);Zbstamga ibrbŐ ôhéøhac éľfľŐ bŐnratbyha iøcjahhacbr. ÉľfľŐ varadarncs bŐnratb sørafhb fnrŐľhnŐtľrľhľr.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >>
F`ctr`h‒øc Wnrbléasb
Ac asfb f`ctr`h ôrcafharb su snntbcb gøzachamaf bébc su nfľŐlľzľcľc f`ctr`h agbhmasb va Őnrnp d ľéľsľcľc savbyasbcbc snobttutuhmnsľgľr.
Zu savbyasb f`ctr`høcø iøcømøzga lnhn fuhhncľy`ruz. Zusavbyasb nznhľcjn Őnmncgľrn gn nŐnĐľyn bcar va su savbyasbyøfsahmaya onŐhnr. Zu savbyasb yøfsahbcja su nfľŐľ ynvnŐhnr vaiaraftbĐbcga gurur.
Ob gb bhf f h ô b g J hb G oo h d g >4?5
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?4 Daorunry ?559 >?
Obr gbĐar bhf f`ctr`h ôrcaĐb ga J`rcahbs Graooah tnrnd ľcgnc >4?5harga faŐdagbhac fuhuéfn øcbtasbcbc sľjnfhľĐľcľc f`ctr`hø.
Ou sbstamga sľ
jnfhľ
fnhiľhnyľjľsľ béb nhf`h va jbvnbha g`hu va atrnd ľcgn sujafat `hnc obr jnm
tnŐľ
yľ
jľ
gľ
r.NtaŐ futuyu va suyuľsľttľĐľcgn, nhf`h iacbŐhar vaf`h yufnrľyn
lnrafat agaraf gnmparbconjncľc østøca g`ĐruynfhnŐmnsľcľ snĐhnr.
AĐar futu s`Đuguysn nhf`hoøzøŐør, gnmpar f`h tnrnd ľcgncnŐnĐľyn éafbhbr va ntaŐ nhavhacbr.
ĵstacbhac sľjnfhľf gaĐarb f`h‒uc uzuchuĐu bha nynrhncľr.aamgarsc`thnrb.j`m
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?4 Daorunry ?559 >1
ĵhf sbstamntbf fnrnrhľhľf énhľŐmnsľ >21< ga
f`ctr`h hbtarntørøca ibrmbŐtbr.aamgarsc`thnrb.j`m
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >4
>2:?‒ga Cyqubst, drafncs gôciø javnoľcgnc fnrnrhľhľĐľc irndbfsah`hnrnf cnsľh oahbrhacaobhajaĐbcb ynyľchngľ.
ĵhf UBG(Ur`p`rtb`cnh-ĵctairnh-Garbvntbva) f`ctr`h Jnhhacgar vanrfngnŐhnrľ tnrnd ľcgnc >2:4‒gn iahbŐtbrbhgb.
Qénf f`tr`hø øzarbca énhľŐnc Y._. Avncs, uĐrnŐtľĐľ obr é`fpr`ohambc fnrnrsľz vayn mnrkbcnh fnrnrhľ sbstamhar `hmnsľsaoaobyha drafncs mat`ghnrľ bha onŐnrľhľ `hnmngľ va fnrnftarbstbfgacfhamga pnrnmatra gaĐbŐbmbca iôra sbstam gnvrncľŐľcľbcjahayac Fôf Rar AĐrbharbcb iahbŐtbrgb, >27215harga ngb gbdarncsbyah gacfhamhar f`ctr`h sbstamharbcbcm`gahhacmasbcga fuhhncľhmnyn onŐhncgľ.
>245 gnfb L.Y O`ga‒cbc f`cuŐmnsľcgnc asbchacbharaf, >247Oahhmnc va Fnhnon iarboashama fuvathacgbrbjbsbcbiahbŐtbrmbŐhargbr.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >9
Onzľ F`ctr`h Qyiuhnmn Ôrcafharb
Lnvnjľhľf va Qzny; Qénf, iøgøm f`ctr`høQzny nrnéhnrľ
Oby`h`kbf Zbstamhar;
Zbcbr sbstamb tøm vujut bébc gacathaybjbgbr.
_`o`t Qyiuhnmnhnrľ;
Lnssnsbyatbc é`f ôcamhb `hguĐu øratbmlnthnrľcgn `t`mntbf bŐhavhar, bcsnchnr bébctalhbfahb `hnobhajaf bŐhar(b.a. nsfarb vauzny uyiuhnmnhnrľ)
Obhibsnynr va ĵhatbŐbm Qyiuhnmnhnrľ;Jap tahad`c Őaoafaharbcbc iøé f`ctr`hø,catw`rf obhib nfľŐ f`ctr`hø
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ><
Nfľhhľ QhnŐľm va @t`m`tbv Zbstamharb;Wrac uynrľ sbstamharb, `t`mntbf
pbh`t, `t`mntbf lnvn trndbff`ctr`hø, @t`onc trndbf f`ctr`hø,trndbf hnmonhnrľ f`ctr`hø, vo
Ahaftr`mafncbf Zbstamhar;
Mbfr` ayhaybjbhar va nhiľhnyľjľhnr,mncyatbf fnhgľrmn sbstamb, gjm`t`r f`ctr`hø, iøé ahaftr`cbĐb
Fbmynsnh Zøraéhar; Uart`h rndbcarbharb, fbmynsnhranfsby`c f`ctr`hø, nsbt onzgaciasb f`ctr`hø
Ahaftr`cbf Av Nhatharb;GTG `ycntľjľhnrľ, gbkbtnh fnmarnhnrouhnŐľf mnfbcnhnrľ, N/J har, nhnrm
sbstamharb va iøvachbf fnmarnhnrľ
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?5
Dbzbfsah sbstam
Zbstambcmntamntbf
m`gahb
Mntamntbfsahéôzøm
Fnvrnmsnh tnrnd
Wøm ou sbstamharbc `rtnf c`ftnsľ gnvrncľŐhnrľcľcmntamntbfsah bdngaharbcbc obrobrharbca oaczamasbgbr.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?>
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ??
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?:
Obr Nrnon‒cľc Znobt Lľz F`ctr`h‒ø
(Jrubsa J`ctr`h)
Ou tnsnrľmľ ynpnobhmambz bébc sbtambc mntamntbfsah m`gahbcb
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?7
y p é`huŐturmnhľyľz.
Ou tnsnrľmgn sbstambc gbcnmbf gnvrncľŐľ iôz nrgľ agaraf
sngaja fnrnrhľ gurumucu bcjahayahbm.Fahaoaf néľsľcľc > garajahbf gaĐbŐbmb, lľz gn snntta >5 mbhhbf obrgaĐbŐbma fnrŐľhľf iahgbĐb nrné gøz y`hgn va 41 mpl bha ibgarfac
ôhéømha taspbt agbhmbŐtbr.Maybhhb y`hhnrgn ynpľhnc ôhéømharga, aĐbmbc > garajahbf gaĐbŐbmblľzľc snntta 1 mbh gaĐbŐmasbca saoaobyat vargbĐb taspbtagbhmbŐtbr.
Oucn iôra;L
ľ
z sacsôrøcøc lnssnsbyatb bsa snntta > mbhgbr va oucu lntnsľ
zfnouh agaobhbrbz.
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o g hg h h ( 5) d l 4
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?4
AĐar nrnon gøz y`hgn bharhby`rsn(w=5) va radarncs lľzľ snntta 41mbh bsa6
415411 =∟=∟= wr yné
AĐar nrnon > garajahbf aĐbmhb y`hgn bharhby`rsn(w=>) va radarncslľzľ snntta 41 mbh bsa6
45)>)(1(411 =∟=∟= wr yné
Ou y`hgn lntn 1mpl, yøzga lntn;%9.42 gør.
AĐar nrnon ? garajahbf aĐbmhb y`hgn bharhby`rsn(w=?) va radarncslľzľ snntta 41 mbh bsa6
11)?)(1(411 =∟=∟= wr yné
Ou y`hgn lntn;>5 mpl , yøzga lntn;%>1.:< gbr.
5 bf ô gøf fb l t d g o o ob g th b b b
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?9
w=5 bfac iôrgøf fb lntn sľd ľrgľr oucuc saoaob gacathaybjbcbcfnzncjľcľc dbzbfsah sbstam fnzncjľcľc énrpmnyn iôra tnm tarsb`hmnsľcgnc fnycnfhncgľ.
Urntbfta dbzbfsah sbstambc fnzncjľ gaĐbŐbr ougn lntnyn saoaobyatvarbr.
Nrnoncľc éľfľŐ lľzľcľ ôhéaraf éavrbmb fnpnynhľm;
Gacathaybjb fnzncjľcľ >5‒n nynrhnynhľm;
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?4 Daorunry ?559 ?<
wu yfé 1>5 ∟=
Gacathaybjb fnzncjľcľ >5 n nynrhnynhľm;
)(>5 fé yr u ∟=
ĵfb gacfhamb obrhaŐtbrahbm; w yr y féfé 1>55>55 ∟∟=
wr yfé 1>55>5> ∟=
wr yfé>5>1
>5>>55 ∟=
>5>
1
>5>
wr afé += wané 1=
IôrøhgøĐø ibob iarboashama bha y`h gnfb aĐbmgac g`hnyľ`huŐnobhajaf lntn >5> fnt nznhtľhgľ.
Dnfnt w=5 bfac néľ
f éavrbm f`ctr`h sbstambcga lntn sľ
d ľ
r bfacfnpnhľ gôciø sbstamgamplr r yfé 22.5
>5>
>55==
Ncjnf ou lntn éavrbm fnzncjľ oøyøf `hguĐucgn gnln gn
føéøf `hnjnftľr.aamgarsc`thnrb.j`m
AĐar nrnon > garajahbf aĐbmhb y`hgn bharhby`rsn(w=>) va radarncs
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?2
AĐar nrnon > garajahbf aĐbmhb y`hgn bharhby`rsn(w=>) va radarncslľzľ snntta 41 mbh bsa6
>5>
1
>5>
wr afé += 42:>.5
>5>
1
>5>
41=+=
Gars #?
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@t`mntbf F`ctr`h
Hnphns GôcøŐømø
Ur`d.Gr.Inhbp Jncsavar
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Ubarra-Zbm`c Hnphnja, >972->
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HNUHNZ GÔCØœØMØ
[nmnchn gaĐbŐac obr d(t) d`cfsby`cucuc Hnphns gôcøŐømø
ĵha ahga agbhbr va iôstarbmb;
Hnphns gôcøŐømø, gbdarncsbyah gacfhamharbc jaobrsah
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p Ő , ybdngahara gôcøŐtørøharaf éôzømharbcbc f`hnyjn ahgaahgbhmasb nmjľyhn fuhhncľhľr.
ĵ s p n t ; Ou gôcøŐømøc hbcaar `hnmsľ bébc hbccar `hmn
Őnrthnrľcľ snĐhnmnsľ iarafbr6
>)
?)
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Hbcaar `hmncľc lar bfb Őnrtľcľ gn snĐhngľĐľ bébc Hnphns gôcøŐømøhbcaar obr gôcøŐømgør.
Onzľ Ôcamhb D`cfsby`chnrľc Hnphns GôcøŐømharb
Ôrcaf; ĵsa d(t) cbc Hnphns gôcøŐømø cagbr0
Ôrcaf; antd(t) cbc Hnphns gôcøŐømø cagbr0
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Ôrcaf; antd(t) cbc Hnphns gôcøŐømø cagbr0
(Ou bdngaya østah ôtahama ga ngľ varbhbr.)
Z` c u é; A Đ ar a n t d ( t ) cbc Hnphns gôcøŐømøcø ouhmnf bstby`rsnfd ( t ) ‒cbc Hnphns gôcøŐømøcø nh ľ p s yarbca s - n ynzmnf yatarhb `hur.
Ôrcaf; ant cbc Hnphns gôcøŐømø cagbr0
Ôrcaf; a(n+ko)t cbc Hnphns gôcøŐømø cagbr0
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a np ns gô øŐø ø ag
Ôrcaf; J`s(nt) cbc Hnphns gôcøŐømø cagbr0
J`s(nt)‒cbc auhar gôcøŐømø;
Oaczar Őafbhga sbc(nt)‒cbc Hnphns gôcøŐømø;
?? ns
n
+ 53s
Ngb Gbdarncsbyah Gacfhamharbc D`cfsby`chnrľc
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Ngb Gbdarncsbyah Gacfhamharbc D`cfsby`chnrľcHnphns GôcøŐømharb va Éôzømharb
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Obzbm ôrcaĐbmbzga s‒bc yarbcb s-?nhmľŐtľr @ lnhga d`cfsby`cumuz
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nhmľŐtľr. @ lnhga d`cfsby`cumuzD(s-?) gbr.( )
Obr d`cfsby`cu znmnc afsacb øzarbcga fnygľrľrsnf, ` d`cfsby`cucôtahacmbŐ lnhbcb ahga agarbz.
D`cfbsy`chnrľc caintbd oôhiagafb gaĐbŐbmharb obhbcmby`r `hnobhbr.
Ou gurumgn d(t) d`cfsby`cucu p`zbtbd znmnc afsacb øzarbcga jfngnr fnygľrgľĐľmľzgn d(t)‒cbc caintbd znmnc afsacb øzarbcga
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fngnr fnygľrgľĐľmľzgn d(t) cbc caintbd znmnc afsacb øzarbcgaj fngnr gnvrncľŐľcn bltbynjľmľz `rtnyn éľfnr.
Ou fľsmľ obhmagbĐbmbz bébc fnygľrľhľmľŐ d`cfsby`cuc bhf j obrbmhbfsørasb sľd ľr `hmnhľgľr.
G`hnyľsyhn oucu `huŐturnobhmaf bébc d(t) d`cfsby`cu j fngnr
ôtahacmbŐ obrbm onsnmnf d`cfsby`cu bha énrpmnmľz iarafbr.
Wa ` r am ;
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ĵ s p n t ;
Ôrcaf; ĵdngasbcbc tars Hnphns gôcøŐømøcø ouhucuz.
C @W ; C @W ; 5 ‚ ∓ nrnsľcgn tncľmhncmľŐ sbct d`cfsby`cucu aha nhnhľm.Ou d`cfsby`cu /? fngnr znmnc afsacbcga snĐn g`Đru
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Ôrcaf;
ĵdngasbcbc Hnphns gôcøŐømøcø ouhucuz.
Ou d`cfsby`cu υ/? fngnr znmnc afsacbcga snĐn g`Đrubtaharsaf, Hnphns gaĐarb;
GaĐbhgbr.
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Ôrcaf; D`cfsby`cucu ébzbcbz.
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Ôrcaf;
Ôrcaf; tc ĵdngasbcbc Hnphns gôcøŐømøcø ouhucuz.
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Gbffnt agbhajaf `hursn t s`csuzn ibgarfac s`c fasbrhb bdngacbc pnyľva pnygnsľ s`csuzn ibtmaftagbr. Ou gurumgn H‒l`spbtnh furnhľuyiuhncľrsn fasbrhb bdngacbc pnyľ c ngľmgn sľd ľrn ibgarfac pnygnsnobt fnhmnftngľr. Z`cué sľd ľr `hur.
Wars Hnphns GôcøŐømharb
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Őafhbcga samo`hbza agbhbr. Fľsmb fasbrharanyľrmn yôctamb fuhhncľhľr, oôyhaja fnrmnŐľfbdngahar sngahaŐtbrbharaf Hnphns gôcøŐømøobhbcac bdngahar lnhbca gôcøŐtørøhør.
Ôrcaf; bdngasbcbc tars Hnphns gôcøŐømøcø ouhucuz.
Warbmharbc nyrľ nyrľ tars gôcøŐømharbcbnhnjnf `hursnf6
Ôrcaf; bdngasbcbc tars Hnphns gôcøŐømøcø ouhucuz.
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AŐbthbĐbc lar bfb tnrnd ľ s bc oøtøc gaĐarharb bébc aŐbt bsa s=5 bébcgaaŐbttbr. Ou gurumgn6
Ôrcaf; bdngasbcbc tars Hnphns gôcøŐømøcø ouhucuz.
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Wars Hnphns GôcøŐømø
Lntľrhnmn;
Røfsaf Martaoagac Wøravharbc Lasnphncmnsľ
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Őafhbcga ynzľhnobhbr.
)(?
sD s=
5)5(
5)5(
'=
=
d
sd bsa
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Ôrcaf;
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Uarby`gbf D`cfsby`chnrľc Hnphns GôcøŐømharb
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Ôrcaf; NŐnĐľgnfb Őafbhgafb d`cfsby`cuc Hnphns gôcøŐømøcøouhucuz.
œafbhgafb d`cfsby`cuc parby`gu ? gbr, W=?.
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Gars #:
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >
@t`mntbf F`ctr`h
Oh`f Gbynirnmhnr va ĵŐnrat NfľŐ Gbynirnmhnr ľ
Ur`d.Gr.Inhbp Jncsavar
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?
FnrmnŐľf sbstamhar obr é`f nht sbstambc obr nrnyn iahmasbyha`huŐmuŐtur.
AĐar fnrmnŐľf obr sbstamb taf obr trncsdar d`cfsby`cucn vayn nhtsbstama bcgbriayaobhbrsaf tøm sbstamb ncnhbtbf `hnrnf gnln f`hnybcjahayaobhbrbz.
FnrmnŐľf sbstamharb taf obr trncsdar d`cfsby`cucn bfb yôctamhabcgbriayaobhbrbz;
>. Oh`f Gbynirnmhnrľ
?. ĵŐnrat NfľŐ Gbynirnmhnrľ
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Obr ôcjafb snydngn iôgøĐømøz ibob fnrmnŐľf obr sbstam obrgacdnzhn nht sbstambc obrnrnyn iahmasb bha `huŐmuŐtur. Ou nhtb t h g bhb fbh b Đh o bt tô h
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?4 Daorunry ?559 aamgarsc`thnrb.j`m 7
sbstamhar nrnsľcgn bhbŐfbhacmayb snĐhnync onsbt `parntôrharvnrgľr;
Obr sbstambc oh`f gbynirnmľ sbstam pnrénhnrľcľc bŐhavharbcbc vabŐnrat nfľŐľcľc Őafhb iôstarbmbgbr.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m 1
Obrobrbyha nhnfnsľz bfb nyrľ sbstambc oh`f gbynirnmhnrľ nycľ `hnobhbr.
Obr sbstambc oh`f gbynirnm iôstarbmb taf gaĐbhgbr. Rnpľhnjnfncnhbza iôra obr sbstam dnrfhľ oh`f gbynirnmhnr Őafhbcgaiôstarbhaobhbr.
Obr sbstambc oh`f gbynirnmľ sbstambc gbcnmbf gnvrncľŐľcľ tamsbhagar, sbstambc dbzbfsah ynpľsľ lnffľcgn obhib varmaz.
Wøm sbstambmb `huŐturnc nht sbstamharb bŐnrat nfľŐľcn iôra tømsbstambc oh`f gbynirnmľcľ `huŐturmnf øzara bhbŐfbhacgbrmaf z`rgaĐbhgbr. Oôyhaja tøm sbstambc pard`rmncsľcn lar obr nht sbstambc
fntfľsľcľ oahbrhayaobhbrbz.
Nrgnrgn (Fnsfnt) OnĐhnctľ;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m 4
)()()( >? s _sIs \ =
)(? s \
)()()()( >?> s _sIsIs \ =
)(> s \
)()()()()( >?: s _sIsIsIsJ =
)(sJ
Zbstambc aŐgaĐar ibrbŐ-éľfľŐ bhbŐfbsb;
)()()()( >?: sIsIsIsIa =
Ou aŐgaĐar ibrbŐ- éľfľŐ bhbŐfbsb nht sbstamharbc obrobrharbcbyøfhamagbfharb vnrsnyľmľ bha g`Đrugur. AĐar yøfhacma sôz f`cusubsa aŐgaĐar ibrbŐ éľfľŐ bhbŐfbsb `huŐturuhurfac yøfhacma atfbsb iôzôcøcga ouhucguruhmnhľgľr.
Røfhacma atfbsbcb onsbtéa Őôyha bdnga agaobhbrbz; AĐar obr nhtsbstambc éľfľŐľcn onŐfn obr nht sbstam ahacmasb bha gaĐbŐmby`rsnsbstam yøfhacmby`r gamaftbr, aĐar gaĐbŐby`rsn yøfhacma atfbsb
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?4 Daorunry ?559 aamgarsc`thnrb.j`m 9
y y , Đ Đ Ő y y
vnrgľr va aŐ gaĐar sbstam `huŐturuhurfac iôz ôcøca nhľcmnsľiarafbr.
Ôrcaf;
>>
>>>> >
>
)(
)()(
J _
s
J _
sT
sT sI
b +==
??
??
>
?? >
>
)(
)()(
J _
s
J _
sT
sT sI
+==
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Røfhacma atfbsb iôz ôcøca nhľcmnzsn;
>
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?4 Daorunry ?559 aamgarsc`thnrb.j`m 2
??>>??>>
?
??>>
>
?
>>>)()()(
J _J _s
J _J _s
J _J _sT sT sI
+⎐⎐ ⎥
⎓⎘⎘⎝
⎖ ++
==
IôrøhgøĐø ibob bfb ibrbŐ-éľfľŐ bhbŐfbsb nrnsľcgn dnrf vnr.
ĵfb nht sbstam nrnsľcgn yøfhacma atfbsbcb `rtngnc fnhgľrmnf bébciacahhbfha bfb nht sbstam nrnsľcgn `p-nmp fuhhncľhľr.
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Unrnhah OnĐhnctľ;
)()()( s_sIs\ =
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >>
)()()(>>
s _sIs \ =
)()()( ?? s _sIs \ =
)()()( :: s _sIs \ =
V ] )()()()()( :?> s _sIsIsIsJ ¾¾¾=
)()()( :?> sIsIsIIa ¾¾¾=
Iarb-oashama OnĐhnctľsľ;
Iarb oashama onĐhnctľsľ f`ctr`h tnsnrľmľ ynpnc mølacgbs bébc
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >?
Đ
tamah obr f`cugur.
Oh`f gbynirnmľcľ sngahaŐtbrahbm6
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >1
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Ôcja taf obr t`phnyľjľ gn iarb oashama sbcynhharbcb t`phnynobhbrbz
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >9
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Iarb oashama onĐhnctľsľgn gbffnta nhľcgľĐľcgn s`cué `hnrnf tafibrbŐ va éľfľŐhľ oh`f gbynirnmľ6
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >2
Ôrcaf; NŐnĐľgnfb oh`f gbynirnmľ taf obr ibrbŐ-éľfľŐ n bcgbriaybc.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?5
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>/I?(s) bha obrbm bŐnratb obrhaŐtbrahbm va I>(s)‒b t`phnyľjľcľc snĐľcnnhnhľm;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ??
W`phnyľjľhnrľ obrhaŐtbrahbm nrg nrgn onĐhntľyľ taf oh`f gbynirnmngôcøŐtørahbm;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?:
Iarb oashama onĐhntľsľcľc oh`f bŐhambcb ynpnhľm;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?7
Nrg nrgn onĐhntľ bŐahmbcb iaréafhayahbm;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?1
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?9
Lar obr bŐnrat facgbca g`Đru iahac bŐnratharbc t`phnmľ bha bdnga agbhbr.
ÔrcaĐbc;
)()()()()()()( ::??>> sIs _sIs _sIs _s \ +∟=
)()()()()()()()()()()()( 1::1??1>>1? sIsIs _sIsIs _sIsIs _sIs \ sJ +∟==
)()()()()()()()()()()()( 4::4??4>>4: sIsIs _sIsIs _sIsIs _sIs \ sJ ∟+∟=∟=
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Ôrcaf;)(> sT
NŐnĐľgnfb sbstambc bŐnrat nfľŐ gbynirnmľcľ `huŐturuc.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?2
)(? sT
)(: sT
)(sJ
Ôrcaf; NŐnĐľgnfb sbstambc bŐnrat nfľŐ gbynirnmľcľ `huŐturuc.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m :5
Ôrcaf; NŐnĐľgnfb sbstambc bŐnrat nfľŐ gbynirnmľcľ `huŐturuc.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m :>
> >
>
>
->->->
)(> sI )(? sI )(: sI
)(: s L )(? s L
)(> s L
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Ou ôrcafta, nycľ ncgn øé tamnssľz gôciø `hmngľĐľcgnc øéhøénrpľm bha tamnssľz gôciø fnzncjľmľz y`f.
Z.K.Mns`c Rnsnsľ;
Η∞ffWJ )(
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?4 Daorunry ?559 aamgarsc`thnrb.j`m :1
Η
Η== ∞f
f f W
Z _
sJ sI
)(
)()(
f= bhar y`h snyľsľ
Wf= f. ĵharb y`h fnzncjľ
Η=>-Ϊ(gôciø fnzncéhnrľ)+ Ϊ(bfbhb énrpľm tamnssľz gôciø fnzncéhnrľ)-Ϊ(øéhø énrpľm tamnssľz gôciø fnzncéhnrľ)
+Ϊ(gôrthø énrpľm tamnssľz gôciø fnzncéhnrľ)
Ηf=Η- Ϊ(f. R`hn tamns agac gôciø fnzncéhnrľ). Obr onŐfn gaybŐha
Η “yn tamns atmayac gôciø fnzncéhnrľ
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x:r
x? x>y
s
>
s
>?7
s
>>
-2
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?4 Daorunry ?559 aamgarsc`thnrb.j`m 75
-?7
-?4
Nrg nrgn (Fnsfnt) Iôstarbm;
?7?42?7?: +++ sss
)(s _ )(sJ
)7)(:)(?(?7
)()(
+++=
ssss _sJ
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Unrnhah Iôstarbm; Zbstamb tamsbh agac obr gbĐar iôstarbmgbr.
)7)(:)(?(
?7
)(
)(
+++
=
ssss _
sJ
)7(
>?
):(
?7
)?(
>?
+
+
+
∟
+
=
sss
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?4 Daorunry ?559 aamgarsc`thnrb.j`m 7:
))()(()( +++ )()()( +++
)(
)7(
>?)(
):(
?7)(
)?(
>?)( s _
s
s _
s
s _
s
sJ
+
+
+
∟
+
=
ĵŐnrat nfľŐ gbynirnmľ;
:?>
:
.
?
.
>
.
)()(
)(>?7
)(?7:
)(>??
:
?
>
x x xt jt y
t r x x
t r x x
t r x x
++==+∟=
∟∟=
+∟=
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Fnpnsbtôr bébc;
)(>
)( s B
Js
sT =
Gbracé bébc;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m 4
Gbracé bébc;
)()( s _B sT =
Acgøftôr bébc;
)()( s HsB sT =
Wrncsdar d`cfsby`cu tncľmhnynjnf `hursnf;
)()(
)(s [
s B
sT =
Ahaftrbfsah gavraharbc mntamntbfsah m`gahhacmasbcga FbrŐ`d
ynsnhnrľcgnc dnygnhncľhľr;Obr fnpnhľ éavrbmga iarbhbmharbc t`phnmľ sľdľrgľr
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?4 Daorunry ?559 aamgarsc`thnrb.j`m 9
Obr fnpnhľ éavrbmga iarbhbmharbc t`phnmľ sľd ľrgľr.
Obr c`ftnyn iahac va c`ftngnc éľfnc nfľmhnrľc t`phnmľ
sľd ľrgľr.
Ou bhbŐfbhar furuhguftnc s`crn gavra bébc gbdarncsbyah gacfhamharynzľhľr. Gnln s`crn Hnphns gôcøŐømø ynpľhľr va trncsdard`cfsby`cu ahga agbhbr.
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)(
)(sT j“b ahga atmaya énhľŐľy`ruz.
)>
(
)()(
Js
Hs _
sT s B
++=
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >5
)(
>
)( s B JssT j =
)(sT b ahga atmaya énhľŐľy`ruz.
)>(
)(>)(
Js Hs _
sT
Js
sT j
++
=
)>(
>>
)(
)(
?
Js HJs _JsJssT
sT j
++
=
HJ s
H
_s
HJ sT sT j
>
>
)()(
? ++=
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >>
Nshľcgn gavrayb éôzmaya onŐhnmngnc gavra ahamnchnrľcľc gavra
øzarbcga ampagncs gaĐarharbcb ynznobhbrbz.
?. Rôctam FbrŐ`d Nfľmhnr Rnsnsľ;
Obr c`ftngnc éľfnc nfľmhnrľ p`zbtbd, c`ftnyn iahac nfľmhnrľ
caintbd fnouh agajaĐbz.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >?
Obzbm gavrambzga nfľmhnr6 fnpnsbtôr bébcgac iaéac nfľm va sarbonĐhľ gbracé va acgøftôrgac iaéac nfľmgľr.
5)()(
>
)(=
+
∟+
Hs _
sT sT
Js
sT jj
Éôzajaf `hursnf;
HJ s
H
_s
HJ
sT
sT j>
>
)(
)(
? ++=
:. Rôctam Iarbhbm Oôhøjø;Fnpnsbtôr uéhnrľcgnfb iarbhbm uyiuhncnc iarbhbmbc obr fľsmľgľr.G`hnyľsľyhn fnpnsbtôr ampagncsľcľ t`phnm ampagncsn oôharafga fnpnsbtôr iarbhbmbcb ouhnobhbrbz.
>
Js
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >:
)(>
)( sT
Js Hs _
JssT j++
=
Ou ôrcafta taf éavrahb obr ahaftrbfsah gavrambz vnrgľ, dnfnt é`Đuahaftrbfsah gavrahar obrgac é`f gôciø béarbrhar. É`f éavrahb gavraharbctrncsdar d`cfsby`chnrľcľ ahga agaobhmaf bébc;
>. Gavra ahamnchnrľcľc ampagncs gaĐarharb ynzľhľr
?. Éavraga nfľmľc yôcø saébhbr
:. Éavraga FbrŐ`d iarbhbmhar ynsnsľ uyiuhncľr7. ÉľfľŐľ ahga atmaf bébc gacfhamhar sľrnsľyhn éôzøhør
1. Wrncsdar d`cfsby`cu `huŐturuhur
Ôrcaf; NŐnĐľgnfb gavraga B?(s)/T?(s) trncsdar d`cfsby`cucuynzľcľz.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >7
OnsŐhnciľé f`Őuhhnrľcľ sľd ľr vnrsnynrnf gavra ahamnchnrľcľcampagncshnrľcľ ynznhľm
>. Éavrbmga )()()()( ?>>> sT s HsB s HsB s B _ =∟+
?. Éavrbmga5)()(
>
)()( >???? =∟++ s HsB s B Jss B _s HsB
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >1
B>(s) va B?(s) hb tarbmharb obrhbfta ynznjnf `hursnf6
)()()()( ?>> sT s HsB s B Hs _ =∟+5)()
>()( ??> =+++∟ s B
Js _ Hss HsB
B?(s) b Éôzmaf bébc frnmar ynsnsľ
cľ
fuhhncnjnf `hursnf6
)>
(
)(
?
>
Js _ Hs Hs
Hs Hs _
++∟
∟+
=Η
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>. Gavra ahamnchnrľcľc ngmbtncs gaĐarharb ynzľhľr
C`g nfľmhnrľ bha trncsdar d`cfsby`cucu ahga agajafsaf;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?5
?. Iarbhbm fnycnfhnrľ nfľm fnycnfhnrľ jbcsbcgac
ynzľhľr (AĐar f`hnyhľf snĐhnynjnfsn):. C`g‒gn FbrŐ`d nfľmhnr ynsnsľ uyiuhncľr
7. ÉľfľŐľ ahga atmaf bébc gacfhamhar sľrnsľyhn éôzøhør
1. Wrncsdar d`cfsby`cu `huŐturuhur
Ôrcaf; NŐnĐľgnfb gavraga Tj(s)/T(s) trncsdar d`cfsby`cucu c`gnfľmhnrľcľ fuhhncnrnf ynzľcľz.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?>
Iarbhbm fnycnĐľcľ, nfľm fnycnĐľcn ampagncshnrľ ngmbtncshnrngôcøŐtørahbm.
)()()( sT sR s B =
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ??
>?> )()]()(V)(>)( IsT sT sT IsT Hs
sT I J H H H =∟++
Tj(s) c`g‒ucgnfb nfľmhnrľc t`phnmľ;
5)]()(V)( ? =∟+ sT sT IsJsT HJ J
TH(Z) va TJ(s)‒harb gøzachayahbm;
>??> )()()(
>
IsT sT IsT HsIIJ H
=∟⎐ ⎥
⎓
⎘⎝
⎖
++
( ) 5)()( ?? =++∟ sT JsIsT I J H
Zľrnyhn éôzgøĐømøzga trncsdar d`cfsby`cu;
( )HJ
Is
HJ
J HIIsII
s
J
II
sT sT j
??>?
?>
?>
)()(
++
++=
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?:
HJ HJ
>. C`g‒n onĐhľngmbtncshnrľct`phnmľ
@rtnfngmbtncshnrľct`phnmľ
?. C`g‒n onĐhľngmbtncshnrľc
t`phnmľ
THTJ
TH
TJ
-
-
+
>. C`g‒gnuyiuhncncnfľmhnrľct`phnmľ
?. C`g‒gn
uyiuhncncnfľmhnrľct`phnmľ
=
@rtnfngmbtncshnrľct`phnmľ
=
Ôrcaf; NŐnĐľgnfb gavraga éavra gacfhamharbcb ynzľcľz.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?7
>. Éavragafbampagncshnrľct`phnmľ
B> B?->. Éavraga
uyiuhncncIarbhbmharbct`phnmľ
=>. va ?.Éavragafb`rtnfampagncshnrľct`phnmľ
>. va :.Éavragafb`rtnfampagncshnrľct`phnmľ
- B:
>. va ?.Éavragafb`rtnfampagncshnrľc
B> B?+?. Éavraga
uyiuhncncIarbhbmharbc
=
?. Éavragafbampagncshnrľct`phnmľ
?. va :.Éavragafb`rtnf
- B:-
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?1
ampagncshnrľct`phnmľ
Iarbhbmharbct`phnmľ
t`phnmľ `rtnfampagncshnrľct`phnmľ
B> B?-:. Éavraga
uyiuhncncIarbhbmharbct`phnmľ
=
?. va :.Éavragafb`rtnfampagncshnrľct`phnmľ
:. Éavragafbampagncshnrľct`phnmľ
+ B:
>. va :.Éavragafb`rtnfampagncshnrľct`phnmľ
-
( ) ( )
( ) ( )
5)(>
>7)(7)(
5)(7)(>2)(>?
)()()(>?)(??
:?>
:?>
:?>
=⎐ ⎥
⎓⎘⎝
⎖ +++∟∟
=∟+++∟
=∟+∟+
s B s
sssB s B
ssB s B ss B s
sT s B s B ss B s
Mafncbfsah Zbstamharbc Wrncsdar D`cfsby`chnrľ
(Gøzhamsah Lnrafat)
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?4
Mafncbfsah sbstamhar bha ahafrbfsah sbstamhar nrnsľcgn ncnh`kb`huŐturmnmľz mømføcgør.
ÔrcaĐbc, uyiuhncnc fuvvat, uyiuhncnc iarbhbmbc6 lľz, nfľmľc6yar gaĐbŐtbrma ga yøf‒øc fnrŐľhľĐľgľr.
Mafncbfsah Ampagncs;)(
)(sD
s[
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?9
Mafncbfsah Ampagncs;)(
)(s \
s [ M =
)()( sF\ sD =Rny ahamncľ;
)()( ss\ d sD v=Zôcøm ahamncľ;
)()( ? s \ MssD =Føtha;
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)(t Fx
gt
t gx
d v)(
?
? )(t xg M
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?2
?gt M
Fuvvatharb t`phnyľp sľd ľrn aŐbthayajaf `hursnf6
)()()()(? sD sF\ ss\ d s \ Ms v =++
)()(? sD s \ F s d Ms v =++
F s d MssD
s \ sI
v ++
==?
>
)(
)()(
É`Đu mafncbfsah sbstamhar, é`f éavrbmhb é`f c`g‒hu ahaftrbfsahgavrahara oaczamaftagbr va sbstamb tncľmhnmnf bébc obrgac dnzhngbdarncsbyah gacfham iarafbr.
Mafncbfsah sbstamharga iarafhb `hnc lnrafat gacfhamharbcbcsnyľsľ, hbcaar `hnrnf onĐľmsľz lnrafatharbc snyľsľcn aŐbttbr.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m :5
Hbcaar onĐľ
msľ
zhľ
Đľ
c mncnsľ
lnrafat c`ftnsľ
cľ
c gbĐar lnrafatc`ftnhnrľ snobthacgbĐb lnhga lnrafat agaobhmasbgbr. HbcaaronĐľmsľzhľĐľc obr gbĐar mncnsľ saroasthbf garajasbgbr.
Ahatrbfsah sbstamhargac ôrcaf varajaf `hursgnf6 bfb éavrahb obrgavraga lar obr nfľm gbĐar éavracbc nfľmľcľc atfbsb nhtľcgngľr.AĐar éavrahargac obrbcb néľf gavra ynpnrsnf, gbĐar éavragaiarbhbm fnycnĐľ vnrsn ` éavraga nfľm nfmnyn gavnm agar.
Ôrcaf;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m :>
Lar bfb føtha yntny g`Đruhtugn obrb snobt bfac lnrafat attbrbhaobhajaĐbbébc sbstambc saroasthbf garajasb bfbgbr.
ĵfb gacfham bfb føthacbc saroast jbsbm gbynirnmľcgnc ahga
agbhajaftbr.
\(s)/D(s) trncsdar d`cfsby`cucu ouhucuz.
AĐar M?‒yb snobt tutupM
>‒b snĐn g`Đru lnrafat
attbrajaf `hursnf
AĐar M>‒yb snobt tutupM?‒b snĐn g`Đru lnrafatattbrajaf `hursnf
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?4 Daorunry ?559 aamgarsc`thnrb.j`m :?
M> øzarbca søparp`zbsy`c uyiuhncnjnf `hursn;
Nycľ bŐhamharb M? bébcynpnhľm;
AĐar M>‒yb snobt tutup
M?‒b snĐn g`Đru lnrafatattbrajaf `hursnf
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ::
AĐar M?‒yb snobt tutupM>‒b snĐn g`Đru lnrafatattbrajaf `hursnf
M? øzarbca søparp`zbsy`c
uyiuhncnjnf `hursn;
( ) ( ) ( ) )()()( ??:>?>:>?
> sD s \ F s d s \ F F s d d s M vvv =+∟++++
( ) ( ) ( ) 5)()( ?:?:??
?>?: =++++++∟ s \ F F s d d s M s \ F s d vvv
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?4 Daorunry ?559 aamgarsc`thnrb.j`m :7
Η
+==
)()(
)(
)( ?:? F s d sIsD
s \ v
( ) ( ) ( )
( ) ( ) ( )⎡⎡⎤
⎧
⎯⎯⎪
⎮
+++++∟
+∟++++
=Η :?:??
??:
?:?>:>
?
>
F F s d d s M F s d
F s d F F s d d s M
vvv
vvv
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?4 Daorunry ?559 aamgarsc`thnrb.j`m :1
\> gafb
lnrafata onĐhľampagncshnrľct`phnmľ
\> \?-
\>‒a uyiuhncnc
Fuvvatarbc
t`phnmľ=
\> va \? gafb
`rtnfampagncshnrľct`phnmľ
+ =-\> va \? gafb`rtnfampagncshnrľct`phnmľ
\? gafblnrafata onĐhľampagncshnrľct`phnmľ
\?\>\?‒a uyiuhncnc
Fuvvatarbc
t`phnmľ
Ôrcaf;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m :4
Rufnrľgnfb mafncbfsah sbstambc lnrafat gacfhamharbcb gbraf ynzľcľz.
( ) ( ) 5)()()( ::??>?>:>?
> =∟∟++++ ss\ d s \ F s \ F F s d d s M vvv
( ) )()()()( :7??7??
?>? sD ss\ d s \ F s d d s M s \ F vvv =∟++++∟
( ) 5)()()()( :7:7:?
:?7>: =∟+++∟∟ ss\ d s \ s d d s M ss\ d ss\ d vvvvv
Mafncbfsah Zbstamharbc Wrncsdar D`cfsby`chnrľ(Gnbrasah Lnrafat)
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?4 Daorunry ?559 aamgarsc`thnrb.j`m :9
Gnbrasah lnrafat agac mafncbfsah sbstamhar gøzhamsah lnrafatagac mafncbfsah sbstamhar ibob aha nhľcľr. Fuvvat‒bc yarbcb t`rf,gøzhamsah yar gaĐbŐtbrmacbc yarbcb néľsnh yar gaĐbŐtbrma nhľr.Nyrľjn føtha yarbca ntnhat bdngasb fuhhncľhľr.
Zaroasthbf garajasb bsa gøzhamsah lnrafatta yar gaĐbŐtbrma bhaoahbrhacbrfac gnbrasah lnrafatta gôcaobhma bha oahbrhacbr
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?4 Daorunry ?559 aamgarsc`thnrb.j`m :<
oahbrhacbrfac gnbrasah lnrafatta gôcaobhma bha oahbrhacbr.
Ôcja, lnrafat c`ftnhnrľcľ snobt tutuhnrnf jbsmb gôcgørørøz va`huŐnjnf t`rfhnrľ saroast jbsbm gbynirnmľ øzarbcga iôstarbrbz.
Z`crn jbsmb snobthaybp sľrnsľyhn obtbŐbf lnrafat c`ftnhnrľgôcgørøharaf `huŐnjnf t`rfhnr saroast jbsbm gbynirnmľcgniôstarbhbr. Lar obr lnrafat c`ftnsľ bébc ou bŐhamb tafrnrhncľr.
Wøm saroast jbsbm gbynirnmhnrľcgn t`rf‒hnr t`phncľr va sľd ľrnaŐbthacbr.
Ôrcaf; Zbstambc, μ?(s)/W(s) trncsdard`cfsby`cucu ynzľcľz. Éuouflar bfb tnrndtnc yntnfhncmľŐľtľrva ouruhmnyn mnruzfnhmnftngľr. ZnĐ tnrndn t`rfuyiuhncľrfac yar gaĐbŐrtbrmas`h tnrndtnc ôhéøhmaftagbr.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m :2
é
Ourngn éuouĐuc ouruhmnsľcľ bfb ntnhat nrnsľcgn ouhucnc yny ibobgøŐøcaobhbrbz.
K> øzarbcgafb K>‒cľcl f tb h h
K> øzarbcgafb K?‒cľcl f tb h h K ø b g fb h
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?4 Daorunry ?559 aamgarsc`thnrb.j`m 75
lnrafatbyha `huŐncW`rfhnr
lnrafatbyha `huŐncW`rfhnr
K> øzarbcgafb `huŐnct`phnm W`rfhnr
K? øzarbcgafb K?‒cľclnrafatbyha `huŐncW`rfhnr
K? øzarbcgafb K>‒cľclnrafatbyha `huŐncW`rfhnr
K? øzarbcgafb `huŐnct`phnm W`rfhnr
Lar bfb ntnhattafb t`rfhnrľ t`phngľĐľmľzgn, lnrafat gacfhambcb ahgaagarbz;
)()()( ?>>?
> sW sF sF s Gs K =∟++ μ μ
5)()( ???
?> =+++∟ sF s Gs K sF μ μ
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?4 Daorunry ?559 aamgarsc`thnrb.j`m 7>
Η= F
sW
s
)(
)(?μ
( )
( )⎡⎡⎤
⎧
⎯⎯⎪
⎮
++∟
∟++
=Η F s Gs K F
F F s Gs K
?
?
?
>
?
>
μ ‒a uyiuhncncμ va μ gafb
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?4 Daorunry ?559 aamgarsc`thnrb.j`m
7?
μ> gafb
lnrafata onĐhľampagncshnrľct`phnmľ
μ> μ?-
μ> a uyiuhncnc
W`rfhnrľc
t`phnmľ=
μ> va μ? gafb
`rtnfampagncshnrľct`phnmľ
+ =-μ> va μ? gafb`rtnfampagncshnrľct`phnmľ
μ? gafblnrafata onĐhľampagncshnrľct`phnmľ
μ?μ>
μ?‒a uyiuhncnc
W`rfhnrľc
t`phnmľ
Ôrcaf;
Lnrafat gacfhamharbcb gbraf ynzľcľz.
μ> gafbl f t o Đh μ μ
μ>‒a uyiuhncnc
fh
μ> va μ? gafb`rtnf μ
μ> va μ: gafb`rtnf
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?4 Daorunry ?559 aamgarsc`thnrb.j`m
7:
lnrafata onĐhľ
ampagncshnrľct`phnmľ
μ> μ?- W`rfhnrľct`phnmľ
=`rtnf
ampagncshnrľ
ct`phnmľ
+ =-
μ> va μ? gafb`rtnfampagncshnrľct`phnmľ
μ? gafb
lnrafata onĐhľ
ampagncshnrľct`phnmľ
μ?μ>
μ?‒a uyiuhncnc
W`rfhnrľc
t`phnmľ
μ:`rtnf
ampagncshnrľ
ct`phnmľ
-
μ? va μ: gafb`rtnfampagncshnrľct`phnmľ
- μ:
μ>μ> va μ: gafb`rtnfampagncshnrľct`phnmľ
- μ? va μ: gafb`rtnfampagncshnrľct`phnmľ
- μ?μ: gafblnrafata onĐhľampagncshnrľct`phnmľ
μ:+ =μ:‒a uyiuhncncW`rfhnrľc
t`phnmľ
)()(5)()( :?>>?
> sW ssF sF s Gs K =∟∟++ μ μ μ
?
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?4 Daorunry ?559 aamgarsc`thnrb.j`m
77
5)()()( :????
?> =∟+++∟ ss GsF s Gs K sF μ μ μ
5)()()(5 :?:?
:??> =+++∟∟ ss Gs Gs K ss Gs μ μ μ
@t`mntbf F`ctr`h
Gars #1
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?4 Daorunry ?559 aamgarsc`thnrb.j`m
>
Dbzbfsah Zbstamharbc M`gahhacmasb
•GbŐhb Wnfľ
mhnr ľ
• Ahaftr`mafncbfsah Zbstamhar
Ur`d.Gr.Inhbp Jncsavar
Mafncbfsah Zbstamharbc Wrncsdar D`cfsby`chnrľ(GbŐhb Wnfľmhnrľ)
Tbtashb obsbfhatharb gøŐøcahbm. R`fuŐ éľfnrfac gnln dnzhn t`rfvarac va gnln ynvnŐ ibgajaĐbmbz vbtasa iaébrbhbr. Gøz y`hgn bsagnln nz t`rf va gnln lnzhn lľz ynpľhnobhac vbtasa iaébrbhbr. Fľsnjn,gbŐhb tnfľmhnrľ obsbfhat va y`hu lľz va t`rftnc obrbcb tarjbl agbharafa ha tb b
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?4 Daorunry ?559 aamgarsc`thnrb.j`m
?
aŐhaŐtbrbr.
Lar obr gbŐhb éavrasbcaga nhľcnc y`h aŐbt `hguĐucgnc;
??>> μ μ r r =
?
>
?
>
>
?
C
C
r
r ==
μ
μ
ĵfb gbŐhbcbc néľsnh yar gaĐbŐtbrmaharb gbŐ snyľhnrľ bha tars `rnctľhľgľr.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m
:
W`rfhnr nrnsľcgnfb bhbŐfb cnsľh0AĐar gbŐhbharbc acrkbyb nos`roa atmagbĐbcb va gap`hnmngľĐľcľvnrsnynjnf `hursnf; >. gbŐhbya varbhac acarkb, ?. gbŐhbgac nhľcncacarkbya aŐbttbr.
AĐar gbŐhbharbc acrkbyb nos`roa atmagbĐbcb va gap`hnmngľĐľcľvnrsnynjnf `hursnf; >. gbŐhbya varbhac acarkb, ?. gbŐhbgac nhľcncacarkbya aŐbttbr.
??>> μ μ W W =
>
?
?
>
>
?
C
C
W
W ==
μ
μ
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?4 Daorunry ?559 aamgarsc`thnrb.j`m
7
GbŐhbharbc mafncbfsah ampagncshnrľ sørmasb gurumucgn;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m
1
μ>‒ gafb gbŐhb tnfľmsľz aŐgaĐar gavra;
Lnrafat gacfhamb;
( ) >?
>?
?
)()( C
C
sW sF Gs Ks =++ μ μ?(s)‒ yb aŐgaĐar μ>(s) jbcsbcgac ynznjnf `hursnf;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m
4
( )>
?>>
?
>? )()( C
C sW s
C
C F Gs Ks =++ μ
GøzachagbĐbmbzga;
)()(>>
?
?
>
?
?
>?
?
?
>sW s
C
C F s
C
C Gs
C
C K =
⎐
⎐
⎥
⎓
⎘
⎘
⎝
⎖
⎐
⎐
⎥
⎓
⎘
⎘
⎝
⎖ +
⎐
⎐
⎥
⎓
⎘
⎘
⎝
⎖ +
⎐
⎐
⎥
⎓
⎘
⎘
⎝
⎖ μ
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?4 Daorunry ?559 aamgarsc`thnrb.j`m
9
Gnbrasah mafncbfsah ampagncshnr yufnrľgnfb Őafbhgafb ibob gbŐhb`rnchnrľcľc fnrasbya `rnctľhľ `hnrnf gbĐar tnrndn bcgbriacaobhbr.
Nycľ trncsd`rmntôrhargafb ampagncshnrľc bcgbriacmasb ibob.
Ôrcaf;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m
<
Zbstambc, μ?(s)/W>(s) trncsdar d`cfsby`cucu ynzľcľz.
Lar obr ntnhat bébc sľrnsľyhn éôzøhmasb iarafac bfb gbdarncsbyahgacfham `hmnhľ ibob iôrøcsa ga, ntnhat ahamnchnrľ gbŐhb tnfľmcgncg`hnyľ hbcaar obrobrbcgac onĐľmsľz lnrafat agamazhar. Ou soapha
sbstambc saroasthbf garajasb obrgbr va obr tnca lnrafat gacfhambvnrgľr.
K>, G> va W> b gbŐhbcbc gbĐar tnrnd ľcn bcgbriayajaf `hursnf
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?4 Daorunry ?559 aamgarsc`thnrb.j`m 2
( )>
?>?
? )()( C
C sW sF s Gs K aaa =++ μ
( )aaa
F s Gs K
C
C
sW
ssI
++
⎐⎐ ⎥
⎓
⎘⎘⎝
⎖
==?
>
?
>
?
)(
)()( μ
GbŐhb tracb `hmnsľ gurumucgn;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >5
Ôrcaf;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >>
Zbstambc, μ>(s)/W
>(s) trncsdar d`cfsby`cucu ynzľcľz.
Zbstamgafb gbŐhb tracbcbc gbŐhbharb fnyľpsľz gbŐhbhar gaĐbh. Lar obrbcbcntnhat va vbzf`z sørtøcmasb vnr.
Wrncsdar d`cfsby`cucu ahga atmaf bébc oøtøc ampagncshnrľ ibrbŐŐndt‒ ľcn bcgbriayahbm.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >?
Gbfnft agbhajaf `hurssn oøtøc ampagncshnr bébc gbŐhb `rncľ nycľgaĐbhgbr. ÔrcaĐbc6 G
?, (C
> /C
?)? bha bcgbriacbrfac (K
7+K
1)
?
?7
>:
⎐⎐ ⎥
⎓⎘⎘⎝
⎖
C C
C C
ĵha bcgbriacajaftbr.
Wøm aŐgaĐar sbstam;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >:
)()( >>?
sW ss Gs K aa =+ μ
( )s Gs K sW s
sI
aa +
==?
>
> >
)(
)()( μ
Ahaftr`mafncbfsah Zbstamharbc WrncsdarD`cfsby`chnrľ
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >7
CNZN uéuŐ sbmøhntôrø, r`o`t f`huc fuhhncľhgľĐľ obr ahaftr` mafncbfsbstam
M`t`rhnr ahaftr`mafncbf sbstamhara ac iøzah ôrcaftbr. IarbhbmibrbŐb éľfľŐtn gôcmaya (obr yar gaĐbŐtbrmaya) saoaobyat varbr.
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >1
Znobt mľfcntľshľ obr GJ m`t`r va trncsdar d`cfsby`cu
GJ mnfbcncľc mncyatbf nhncľ snobt mľfcntľshnr tnrnsľcgncøratbhmaftagbr. Gôcac, lnrafathb pnén acgøvb bha nghncgľrľhľr vabébcgac bn(t) nfľmľ nfnr. Mncyatbf nhnc bébcga ouhucnc va bébcgacnfľm nfnc acgøvb D=Oh bn(t) fuvvatbca mnruz fnhľr va gôcar.
Mncyatbf nhnc bébcga ouhucnc va gôcac acgøvb uéhnrľcgn a=Ohv
Iarbhbmb acgøfhacbr, ou iarbhbma tars ahaftr`m`t`r fuvvatb ngľ
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >4
varbhbr.
gt
t g F t v m
on
)()(
μ =
Hnphns gôcøŐømø ynptľĐľmľzgn; )()(
ssF sT mon
μ =
Acgøvb gavra gacfhamb bsa; )()()()( s A sT ssB Hs B _ nnnnnn =++
M`t`ruc ørattbĐb t`rf ; )()( s B F sW nt m =
)(>)( sW F
s B m
t
n =
)()()()(
s A ssF F
sW s H _nmo
t
mnn =++
μ
Wrncsdar d`cfsby`cucu ahga atmaf øzara nfľm va iarbhbmb yarbcaynznhľm6
IbrbŐ va éľfľŐ nrnsľcgnfb trncsdar d`cfsby`cu, μm(s)/An(s),
\
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?4 Daorunry ?559 >9
Obrb yøfø gôcgørac m`t`ruc tbpbf aŐgaĐarb
ouhnobhmaf bébc Wm(s) “yb μm(s) jbcsbcgac ynzmnhľyľz.
Km acgøvbgafb aŐgaĐar ntnhat, gnln s`crn ou aŐ gaĐar ntnhatbc yøfntnhatbcbga béargbĐbcb iôrajaĐbz. Gm acgøvbgafb aŐgaĐar sôcømahamncľ, gnln s`crn ou aŐ gaĐar sôcøm ahamncľcľc yøf sôcømahamncľcľ gn béargbĐbcb iôrajaĐbz.
aamgarsc`thnrb.j`m
)()( ? ss Gs K sW mmmm
μ +=
)()()())(( ?
s A ssF F
ss Gs K s H _nmo
t
mmmnn =+++ μ μ
\ĵdngasbcb ( ) gn yarbca ynznjnf `hursnf6
Acgøvb acgøftncsľ, Hn‒yľ, acgøvb gbracjb, _n, yn iôra føéøf
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ><
`hguĐucu vnrsnynrsnf6
)()()( s A ssF Gs K F
_nmomm
t
n =⎡⎤
⎧⎯⎪
⎮++ μ
⎡⎤
⎧⎯⎪
⎮⎐⎐ ⎥
⎓⎘⎘⎝
⎖ ++
=
n
ot m
m
mn
t
n
m
_
F F G
K ss
K _
F
s A
s
>)(
)(μ
)()(
)(
ξ
μ
+= ss
F
s A
s
n
m
Gnln onsbtéa6
AŐgaĐar ahamnchnr,Km va Gm‒yb bcjahayahbm6
h f h h h
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?4 Daorunry ?559 aamgarsc`thnrb.j`m >2
Zľrnsľyhn Kn,Gn m`t`ruc KH,GH yøføc ntnhat va sôcøm ahamncnhnrľva ou gaĐarharb obhgbĐbmbzb vnrsnynhľm.
GbŐhb tnfľ
mľ
cľ
iôz ôcøcga ouhucgurnrnf acgøvbya bcgbriacacaŐgaĐar ntnhat va sôcøm ahamncľ6
?
?
>⎐⎐ ⎥
⎓⎘⎘⎝
⎖ += C
C
K K K Hnm
?
?
>⎐⎐ ⎥
⎓⎘⎘⎝
⎖ += C
C
G G G Hnm
Mafncbfsah snobtharb bcjahagbf Őbmgb trncsdar d`cfsby`cucgnfbahaftrbfsah snobtharb cnsľh ahga agajaĐbmbzb bcjahayahbm;
Ahaftrbsah snobthar, é`Đu znmnc gbcnm`matra tastb bha ahga
agbhbrhar. Gbc`m`matra tastbcga snbt iarbhbm nhtľcgn m`t`ruct`rf va lľzľ ôhéøhør. Ou tastb nchnyn énhľŐnhľm;
)()(
)()(s A ssF
F
sW s H _
nmo
mnn =++
μ
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?5
)()(F nmot
`hnrnf ahga agbhmbŐtb, acgøvb acgøftncsľ, Hn‒yľ, acgøvb gbracjb, _n,yn iôra føéøf `hguĐucu vnrsnynrsnf6
)()()( t at F t W F
_nom
t
n =+ ς )()(
t gt
t mς
μ =
Fnrnrhľ lnhga snobt gj iarbhbmga6nmom
t
naF W
F
_=+ ς
n
n
t
m
n
t o
m a
_
F
_
F F W +∟= ς
ςm =5 bsa6 nn
t
stnhh a _F W =
Wm =5 bsa6o
no`stn
F
a
=ς
Ah ft bf h f t ľh
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?>
Ahaftrbfsah fntsnyľhnr;
n
stnhh
n
t
a
W
_
F =
o`stn
n
o
aF
ς =
Ôrcaf;
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ??
Rufnrgn varbhac gj m`t`ruc t`rf-lľ
zfnrnftarbstbĐb yncgnfb ibobgbr. Ou m`t`rucμH(s)/An(s) trncsdar d`cfsby`cucu ahgaagbcbz.
?
?
>
⎐⎐ ⎥
⎓⎘⎘⎝
⎖ +=
C
C K K K
Hnm
?
?
>
⎐⎐ ⎥
⎓⎘⎘⎝
⎖ +=
C
C G G G
Hnm
>?>5
>9551
?
=⎐ ⎥
⎓⎘⎝
⎖ +=
>5>5
>55
155==
?15
>55==
1
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?4 Daorunry ?559 aamgarsc`thnrb.j`m ?:
( )⎡⎤⎧
⎯⎪
⎮
++
=
)?)(1(>5>?
>>?
1
)(
)(
ss
s A
s
n
mμ
)449.>(
7>9.5
+=
ss
C>/C?=>/>5 `hguĐucgnc,
)449.>(57>9.5
)()(
+=
sss A
s
n
Hμ
@t`mntbf F`ctr`h
Zb t M g hh b b [
Gars #4-
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aamgarsc`thnrb.j`m >
Zbstam M`gahharbcbc [nmncJavnoľ va Uard`rmncs
FrbtarharbUr`d.Gr.Inhbp Jncsavar
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Wrncsdar D`cfsby`cu
Futuphnr&Zľd ľrhnr
OnŐhnciľé f`Őuhhnrľ sľd ľr fnouh agbharaf obr sbstambc javnp d`cfsbyucu(éľfľŐľ) bha sørøjø d`cfsby`cu (ibrbŐ) nrnsľcgnfb Hnphnstrncsd`rmnsy`chnrľ `rncľcn trncsdar d`cfsby`cu gacbr.
Wrncsdar D`cfsby`cu;
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aamgarsc`thnrb.j`m :
Wrncsdar d`cfsby`cucuc pnygnsľcľc fôfharbgbr. F`mphafs futuphnr
tøm sbstambc acarkb gap`hnmn fnrnftarbstbfharb bha nhnfnhľ g`Đnhdrafncshnrľcľ tamsbh agar.
Futuphnr;
Wrncsdar d`cfsby`cu sbstambc gbcnmbf fnrnftarbstbfharbcb tncľmhnr.Zbstam ôzahhbĐbgbr. Zbstambc dbzbfsah ynpľsľ lnffľcgn obhib varmaz,dnrfhľ dbzbfsah sbstamharbc trncsdar d`cfsby`chnrľ nycľ `hnobhbr.
Wrncsdar d`cfsby`cucuc pnyľcľc fôfharbgbr. Zacsôrhar va
lnrafathacgbrbjbhar bha tncľmhncnc acarkb gap`hnmn fnrnftarbstbfharbbh h f h d f h t bh g
Zľd ľrhnr;
F`mphafs futuphnr sbstambc gaĐbŐbf bé acarkb gap`hnmn ahnmnchnrľnrnsľcgn acarkbcbc saroastéa g`hnŐtľĐľ g`Đnh drafncshnrľ tamsbh agar.
F`mphafs futuphnr sbstambc g`Đnh drafncshnrľ
gľ
r, sacsôr valnrafathacgbrbjbharbc s gøzhambcgafb yarharbcgac onĐľmsľzgľr.
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aamgarsc`thnrb.j`m 7
lnrafathacgbrbjbhar bha tnc mhncnc acarkb gap`hnmn fnrnftarbstbfharbbha nhnfnhľ raz`cncs drafncshnrľcľ tamsbh agar.
F`mphafs sľd ľrhnr sbstambc acarkb sbcfb ibob gnvrncnjnĐľ drafncshnrľtamsbh agar.
( )?1)(>(
)(+++
++=
ssss
ssF sI
Zľd ľrhnr;->, ->1
Futuphnr;5, -:, -1, -< (? tnca)
Ôrcaf;
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aamgarsc`thnrb.j`m 1
)1(
)?()(
+
+=
ss
ssJ
1
?
)1(
)?(
5
=
+
+=
↟ss
s N
)1()(
++=
s
O
s
NsJ
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aamgarsc`thnrb.j`m 4
1)1( 5+ ↟ss
1
:)?(
1
=+
=∟↟ss
s O
⇟+
+=1
1
:
1
?
)(ss
sJ t at j 1
1:
1?)( ∟+=
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aamgarsc`thnrb.j`m 9
>. IbrbŐ d`cfsby`cucuc futou z`rhncmľŐ éôzømø øratbr.(@rkbcgafb futup éľfľŐtn obrbm onsnmnf d`cfsby`cu
`huŐturgu)
?. Wrncsdar d`cfsby`cucuc futou g`Đnh javnoľ `huŐturur. (-1 gafb futup a-1t yb ørattb)
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aamgarsc`thnrb.j`m <
:. _aah afsacgafb futup a-nt Őafbhbcga østah obr javnpøratbr, ou futup ca fngnr s`hgn bsa østah iaébjb javnp 5‒n `
fngnr lľzhľ gøŐar
7. Zľd ľr lam fnrnrhľ lnhga lamga iaébjb rakbmga oøyøfhøĐøc
`huŐmnsľcn ynrgľmjľ `hur.
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aamgarsc`thnrb.j`m 2
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Obrbcjb Garaja Zbstam Javnoľ va Ôzahhbfharb
AĐar _(s)=>/s obrbm onsnmnf bsa )( nsJ =
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aamgarsc`thnrb.j`m >>
Đ ( ) /)(
)(nss
sJ +
=nt
at j ∟∟= >)(
n‒ yn iôra sbstamb bcjahayahbm6
:9.5> >
> ==⇟= ∟
=
∟aa
n
t
n
t
nt
4:.5:9.5>>)( > =∟=∟==
∟
nt
nt at x
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aamgarsc`thnrb.j`m >?
[nmnc Znobtb;
>/n‒yn znmnc snobtb gacbr.
Gacfhamhar va Őafha iôra a-nt
cbc onŐhnciľ
é gaĐarbcbc %:9 sbcagøŐmasbca fngnr `hnc znmnc vayn obrbm onsnmnf javnoľcľc %4:
øca uhnŐľcjnyn fngnr iaéac søra `hnrnf tncľmhncnobhbr.
[nmnc snobtbcbc obrbmb >/sncbya gbr. n pnrnmatrasbca ga østah
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aamgarsc`thnrb.j`m >:
[nmnc snobtbcbc obrbmb >/sncbya gbr. n pnrnmatrasbca ga østahdrafncs gacbr.
t=5“gn a-nt
cbc tøravb n `hguiu bébc t=5 gn onŐhnciľé aĐbmb n gľr.
Oôyhaja >. garaja sbstambc iaébjb javnoľ znmnc snobtb `hnrnf
gaĐarhacgbrbhaobhbr.
Røfsahma [nmncľ, Wr;Røfsahma znmncľ javnoľc %>5‒cuc gnc %25‒cľcn uhnŐľcjnynfngnr iaéac søra `hnrnf tncľmhncľr.
nt at j
∟∟= >)(
Gacfhambcga j(t)=5.2 va j(t)=5.> znmnchnrľcgn dnrf
nhľ
cjnf `hursn )>5hc(
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aamgarsc`thnrb.j`m >7
nnnt t W r
?.?>>.5:>.?>? =∟=∟=
`hnrnf ouhucur.
nt a
nt )>.5hc(>2.5 ? =∟⇟∟= ∟
nt a
nt )2.5hc(>>.5 > =∟⇟∟= ∟
RarhaŐma [nmncľ, Ws;RarhaŐma znmncľ javnoľc %2)(
Gacfhambcga j(t)=5.2< `hnrnf nhľcľrsn
t )5?.5hc(
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aamgarsc`thnrb.j`m >1
nW s
7=
nt a
nt )5?.5hc(>2
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aamgarsc`thnrb.j`m >4
Zbstambcb aha nhnhľm; Ou sbstambc bfb s`chu futou vnr va sľd ľrľ y`f.
Unygngnfb o snyľsľ sngaja ibrbŐb énrpnc obr dnftôr. n va o yagaĐbŐbf snyľhnr ntnynrnf bfbcjb garaja sbstamb bcjahayajaĐbz.
NŐľrľ Zôcømhø;
)22(
2)(
? ++=
ssssJ
_(s)=>/s va J(s)=_(s)I(s) bfac
@hnrnf saéahbm
2)( =sJ @h f h obhb
ĵfb fôf raah afsac øzarbcgayfac `huŐnc javnogľr.
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aamgarsc`thnrb.j`m >9
)>74.>)(74.>
:
)( ∟∟ ++=
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aamgarsc`thnrb.j`m ><
Zôcømhø; F`mphafs aŐhacbf fôfhar vnrfac `hnc javnogľr.
)2?(
2)(
?++
=sss
sJ @hnrnf saéahbm
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aamgarsc`thnrb.j`m >2
AŐhacbf futuphnr; s>,?=->¾ k?.
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aamgarsc`thnrb.j`m ?5
Futouc raah fľsmľ sbcb`bgnhbc iachbĐbcbc østah gøŐømdrafncsľcn gacf iahbrfac, bmnkbcar fľsmľ bsa sbcøs`bgnhbc
`sbhnsy`c drafncsľcn fnrŐľhľf iahbr.
s>,?
=->¾ k?.
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@sbhnsy`chu Javnp; ĵfb fôf bmnkbcar afsac øzarbcgayfac `huŐncjavnogľr.
)2(
2)(
?
+
=ss
sJ @hnrnf saéahbm
@rkbcgafb ibrbŐ snobt z`rhncmľŐ javnoľ `huŐtururfac bmnkbcarafsac øzarbcga ¾:k gafb futuphnr sbcøs`gbnh g`Đnh javnp
`huŐturur.
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aamgarsc`thnrb.j`m ?:
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aamgarsc`thnrb.j`m ?7
Frbtbf Zôcømhø Javnp; ĵfb fnthľ fôf raah afsac(caintbd oôhia)øzarbcgayfac `huŐnc javnogľr.
??
):(
2
)24(
2)(
+
=
++
=sssss
sJ @hnrnf saéahbm
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aamgarsc`thnrb.j`m ?1
t t taF aF F t j
:
:
:
?>)( ∟∟ ++=
@rkbcgafb ibrbŐ snobt z`rhncmľŐ javnoľ `huŐtururfac raahafsac øzarbcga -: gafb futuphnr østah va østah bha znmncľcénrpľmľ g`Đnh javnoľ `huŐtururhnr.
Ôzat
Zôcømhø;
NŐľrľ Zôcømhø;Fôfhar;-ϊ>, -ϊ?
t t
aF aF t j ?>
?>)(
ϊ ϊ ∟∟
+=
Fôfhar;-ϊg ¾ kςg
)()( τ ς ϊ ∟= ∟ t J`s Nat j g t g
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aamgarsc`thnrb.j`m ?4
Frbtbf Zôcømhø Javnp;
@sbhnsy`chu Javnp;
Fôfhar; ¾ k ς>
Fôfhar;-ϊ>, -ϊ>t t
taF aF t j >> ?>)( ϊ ϊ ∟∟ +=
)()( > τ ς ∟= t NJ`st j
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G`Đnh Drafncs, ςc; ĵfbcjb garaja obr sbstambc g`Đnh drafncsľ
sbstambc sôcømsøz `sbhnsy`c drafncsľgľr.
Zôcøm `rncľ, δ;
δ= Østah gøŐøm drafncsľ/G`Đnh drafncs(rng/s)
δ=(>/?υ)(G`Đnh parby`t/Østah znmnc snobtb)
Østah gøŐøm drafncsľcľc g`Đnh drafncsn
`rncľgľr.
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aamgarsc`thnrb.j`m ?<
)()( ? onss
o
sI ++= ÔrcaĐbcb aha nhnhľ
m,
Zôcømsøz sbstambc futuphnrľ bmnkbcar afsac øzarbcga
`hnjnftľr va sbstam javnoľ sôcømsøz sbcøs`bgnhgbr. Zbstambcsôcømsøz `hmnsľ bébc n=5 `hmnhľgľr.
Oôyhaja tncľm iaraĐb sbstambc `sbhnsy`c drafncsľ sbstambc g`Đnhdrafncsľgľr. Zbstam futuphnrľ bmnkbcar afsacga ¾∛o ga `hguĐu bébc
ςc= ∛o o=ςc? gbr.va
Zbstambmbz sôcømhø `hguĐucgn n≥5 va f`mphafs aŐhacbffôfharbc iaréaf fľsľmhnrľ ‚n/? gbr. Ou gaĐar gnln ôcjaoahbrtbhgbĐb ibob østah gøŐøm drafncsľcľ tncľmhnr,
n
?
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aamgarsc`thnrb.j`m ?2
cς δ ?= g`hnyľsľyhn cn δς ?= gbr.
Iacah `hnrnf bfbcjb garaja sbstam;
??
?
?)( cc
c
sssI ς δς
ς
++=
:4?.7:4)(
? ++= sssIÔrcaf; bsa
?.7? =c
δς va :4?=
c
ς
:1.54?
?.74 =
Ù== δ ς c
??
?
?)( csI
δς
++=
Iacah `hnrnf;
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aamgarsc`thnrb.j`m :5
? ? cc ss ς δς ++
ĵfbcjb garaja sbstambc fôfharb;
>
?
?,> ∟¾∟= δ ς δς ccs
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>??,> ∟¾∟= δ ς δς ccs
>5 88 δ
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aamgarsc`thnrb.j`m :?
>??,> ∟¾∟= δ ς δς ccs
>=δ
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aamgarsc`thnrb.j`m ::
>??,> ∟¾∟= δ ς δς ccs
>3δ
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aamgarsc`thnrb.j`m :7
Ôrcaf;
Zbstambcbc ca tør javnoľ `hnjnĐľcľ ouhucuz.
cn δς ?= ⇟= ocς va>??
<
?==
o
nδ
>11.>=
δ >3
δ @hguĐu bébc nŐľrľ sôcømhøgør
Ôrcaf;
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aamgarsc`thnrb.j`m :1
Zbstambcbc ca tør javnoľ `hnjnĐľcľ ouhucuz.
⇟= >4?
<δ >=δ
>=δ @hguĐu bébc frbtbf sôcømhøgør
Zôcømhø ĵfbcjb Garaja Zbstamhar
Obr é`f dbzbfsah pr`oham bébc sôcømhø bfbcjb garaja sbstam byb obrm`gahgbr.
ĵfbcjb garaja sbstambc obrbm onsnmnf javnoľcľ bcjahayahbm;
)?()(
??
?
c
ssssJ
ςδςς
++=
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aamgarsc`thnrb.j`m :4
)?( cc sss ς δς ++
??
:?>
? cc ss
F sF
s
F
ς δς ++++=
>8δ
)>()(
>>
)(>
)(???
?
?
δ ς δς
δ ς δ
δ δς
∟++
∟∟
++
∟=cc
cc
s
s
ssJ
⎡⎡⎤
⎧
⎯⎯⎪
⎮
∟∟+∟∟= ∟
)>(>
)>(>)( ?
?
?
t Zbct J`sat j cct
c δ ς δ
δ δ ς
δς
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aamgarsc`thnrb.j`m :9
V ]τ δ ς δ δς
∟∟∟
∟= ∟ )>(>>>)( ?
?t J`sat j c
t c
?
>
>tnc
δ
δ τ
∟= ∟
Zôcøm fntsnyľsľ føéøhgøféa éľfľŐ gnln `sbhnsy`chu `hur.
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aamgarsc`thnrb.j`m :<
GaĐbŐac sôcøm `rnchnrľ bha ĵfbcjb garaja sbstam javnoľ
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aamgarsc`thnrb.j`m :2
>. Wapa Zørasb, Wp;Zbstam javnoľcľc tapa vayn mnfsbmum c`ftnyn uhnŐtľĐľcgn iaéacsøra.
?. NŐľm, %@Z;Zbstam javnoľcľc tapa vayn mnfsbmum c`ftnsľ bha fnrnrhľlnhgafb gaĐarb nrnsľcgnfb dnrfľc fnrnrhľ lnhgafb gaĐara `rncľgľr.
% `hnrnf bdnga agbhbr.:. Røfsahma [nmncľ, Wr;
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aamgarsc`thnrb.j`m 75
Zbstam javnoľcľc %>5‒cuc gnc %25‒cľcn uhnŐľcjnyn fngnr
iaéac søra `hnrnf tncľmhncľr.
7.RarhaŐma [nmncľ, Ws;
Zbstam javnoľcľc %2. Wapa Zørasb, Wp, cbc ĵcjahacmasbWp, j(t)‒cbc tøravb nhľcľp t=5 gnc s`crn bhf sľd ľrľ ouhnrnf lasnphncľr.
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aamgarsc`thnrb.j`m 7>
⎡⎤⎧
⎯⎪⎮ )(
.
t j H)?(
)(??
?
cc
c
ssssJ
ς δς
ς
++==
OnŐhnciľé Őnrthnrľ sľd ľr fnouh agbhbp,
)5()()( ∟∟= d ssd gt
gd H Wørav ta`ramb fuhhncľhnjnf `hursn
Unygnyľ gøzachayajaf `hursnf,
)>()(
)(???
?.
δ ς δς
ς
∟++=⎡⎤
⎧⎯⎪
⎮
cc
c
s
t j H
)>()(
>>
???
?
?
δ ς δς
δ ς δ
ς
∟++
∟∟
=
cc
cc
s
)>(>
)( ??
.
t Zbcat j ct c c δ ς
δ
ς δς ∟∟
= ∟
Wøravb 5‒n aŐbthagbĐbmbzga; υ δ ς ct c =∟ ?>
?> δς
υ =
ct va
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aamgarsc`thnrb.j`m 7?
> δ ς ∟c
c cbc lar obr gaĐarb yarah mnfsbmum vayn mbcumumu iôstarbr. c=5,t=5 ncľcn fnrŐľhľf iahbr va aĐbm sľd ľrgľr.
c cbc gaĐarb > `hmnsľ obrbcjb tapa znmncľcn fnrŐľhľf iahbr. Oôyhaja;
?> δ ς υ ∟
=c
pW
?. NŐľm, %@Z, cbc ĵcjahacmasb
>55% mnx
Ù∟= dbcnh
dbcnh
j
jj@Z
jmnx,Wp ncľcgn j(t)‒cbc gaĐarbgbr.
⎡⎡⎧
⎯⎯⎮
+∟== ∟∟
)()(>)(?
)>
(
mnx
?
υ δ
υ δ
δυ
ZbcJ`saW jj p
⎡⎡⎤
⎧
⎯⎯⎪
⎮∟
∟+∟∟= ∟ )>(
>)>(>)( ?
?
?t Zbct J`sat j cc
t c δ ς δ
δ δ ς
δς
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aamgarsc`thnrb.j`m 7:
⎡⎤⎯⎪ ∟>?δ
p
)>
(
mnx
?
> δ
δυ
∟∟+= aj >= dbcnhjObrbm onsnmnf bébc
>55%
)
>
(?
Ù= ∟∟
δ
δυ
a@Z va )>55/(%hc
)>55/hc(%
?? @Z
@Z
+
∟=
υ δ
Zôcøm @rncľ - NŐľm IrndbĐb
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aamgarsc`thnrb.j`m 77
:. RarhaŐma Zørasb,Ws, cbc ĵcjahacmasb
RarhaŐma sørasbcb ouhnobhmaf bébc j(t) cbc fnrnrhľ lnh jdbcnh gaĐarbcbc%2< sbca uhnŐtľĐľ znmncľ lasnphnmnmľz iarafbr. Wncľmgnc
lntľ
rhncnjnĐľ
øzara yarhaŐma sørasb nznhnc sbcøs`bgnhľ
c iachbĐbcbc5.5?‒ ya uhnŐmn sørasbgbr. G`hnyľsľyhn;
>5?5
δς ∟ t ca Wδ )>5?.5hc( ?∟∟
o g
V ]τ δ ς δ
δς ∟∟
∟
∟= ∟ )>(
>
>>)( ?
?t J`sat j c
t c =>
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aamgarsc`thnrb.j`m 71
?
>
5?.5
δ
δ
∟
= cac
sW
δς
=ourngnc
δ “ya onĐhľ `hnrnf Ws “cbc pny‒ ľ :.2> bha 7.97 nrnsľcgngaĐbŐbr. Obr ynfhnŐľm ynpnrnf,
c
sW δς 7= ynznobhbrbz.
7. Røfsahma Zørasb,Wr, cbc ĵcjahacmasb
Røfsahma znmncľ va sôcøm nrnsľcgnfb bhbŐfb nŐnĐľgnfb Őafbh bhaouhucnobhbr.