elektronik ii - yıldız teknik Üniversitesi - analog elektronik

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC l FCFNEK JNJA]YEC!A FCFNEK JNJA]YEC!A .............................................................................................................. l F. ALPF F]EH I!NK!P! ............................................................................................................ " Klrl# ............................................................................................................................................. " \ôrþckj vj Afiua....................................................................................................................... " Jcjrol Ifctnfr Ķ..............................................................................................................................9 !njtajc, \fr Ķ !njtajc vj \fn Ķtafcnfr .............................................................................................= Aevfnjct If$ ...............................................................................................................................: Pfd \fr Ķ !njtajc Hfnzjhjclc Ôzjnnlanjrl...................... ...............................................................:  C ]lpl Hfnzjhj...........................................................................................................................4 R ]lpl Hfnzjhj ...........................................................................................................................; Afta Ķ Hfmmjnjrlcj PĶ`fanĶ$Ķc Jtalsl............................................................................................7 I. M!\E]NFY vj ËJ%!]NJY ! ...................................................................................................< R-C Oecaslyecu............................................................................................................................< ]jrs Autupnfhf ...........................................................................................................................< ËĶ$ Mjnlchj............................................................................................................................... "2 !njrl Autupnfhf.......................................................................................................................... "2 Mlyemuc T-L Afrfatjrlstl $l....................................... ................................................................. "" Mlyetnu Mjvrjnjrmj Krfdla \ôctjhl lnj Ëfn Ķ#hf CeatfsĶcĶc IunuchfsĶ .................................."9 !njrl Autupnfhf Muruhu ....................................................................................................... "9 Zykunfhf " ? ......................................................................................................................... "0 Ëôzþh ? ................................................................................................................................. "0 ]jrs Autupnfhf Muruhu ....................................................................................................... "= Zykunfhf 9 ? ......................................................................................................................... "= Ëôzþh ? ................................................................................................................................. "= Pecuënfr ..................................................................................................................................... ": Mlyemuc Mlrjc`l ........................................................................................................................ ": Zykunfhf 0 ? ......................................................................................................................... ": Ëôzþh ? ................................................................................................................................. "4 Zykunfhf = ? ......................................................................................................................... "; Ëôzþh ? ................................................................................................................................. "; Mlyet Mjvrjnjrlclc \fanf#Ķa J#mj$jr Fcfnlzl ........................................................................... "; Zykunfhf : ? ......................................................................................................................... "7 Ëôzþh ? ................................................................................................................................. "7 Zykunfhf 4 ? ......................................................................................................................... "< Ëôzþh ? ................................................................................................................................. "< Zykunfhf ; ? ......................................................................................................................... "<

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Page 1: Elektronik II - Yıldız Teknik Üniversitesi - Analog Elektronik

8/10/2019 Elektronik II - Yıldız Teknik Üniversitesi - Analog Elektronik

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

l

FCFNEK JNJA]YEC!A 

FCFNEK JNJA]YEC!A .............................................................................................................. lF. ALPF F]EH I!NK!P! ............................................................................................................"

Klrl# ............................................................................................................................................."\ôrþckj vj Afiua......................................................................................................................."Jcjrol Ifctnfr Ķ..............................................................................................................................9!njtajc, \fr Ķ !njtajc vj \fnĶtafcnfr .............................................................................................=Aevfnjct If$ ...............................................................................................................................:Pfd \fr Ķ !njtajc Hfnzjhjclc Ôzjnnlanjrl.....................................................................................:

 C ]lpl Hfnzjhj...........................................................................................................................4R ]lpl Hfnzjhj ...........................................................................................................................;Afta Ķ Hfmmjnjrlcj PĶ`fanĶ$Ķc Jtalsl............................................................................................7

I. M!\E]NFY vj ËJ%!]NJY ! ...................................................................................................<R-C Oecaslyecu............................................................................................................................<]jrs Autupnfhf ...........................................................................................................................<ËĶ$ Mjnlchj..............................................................................................................................."2!njrl Autupnfhf.........................................................................................................................."2Mlyemuc T-L Afrfatjrlstl$l........................................................................................................""Mlyetnu Mjvrjnjrmj Krfdla \ôctjhl lnj ËfnĶ#hf CeatfsĶcĶc IunuchfsĶ.................................."9

!njrl Autupnfhf Muruhu ......................................................................................................."9Zykunfhf " ? ........................................................................................................................."0Ëôzþh ? ................................................................................................................................."0]jrs Autupnfhf Muruhu......................................................................................................."=

Zykunfhf 9 ? ........................................................................................................................."=Ëôzþh ? ................................................................................................................................."=Pecuënfr.....................................................................................................................................":Mlyemuc Mlrjc`l ........................................................................................................................":

Zykunfhf 0 ? .........................................................................................................................":Ëôzþh ? ................................................................................................................................."4Zykunfhf = ? .........................................................................................................................";Ëôzþh ? .................................................................................................................................";

Mlyet Mjvrjnjrlclc \fanf#Ķa J#mj$jr Fcfnlzl ...........................................................................";Zykunfhf : ? ........................................................................................................................."7Ëôzþh ? ................................................................................................................................."7

Zykunfhf 4 ? ........................................................................................................................."<Ëôzþh ? ................................................................................................................................."<Zykunfhf ; ? ........................................................................................................................."<

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

l

FCFNEK JNJA]YEC!A 

I!RENFY ]YFCP!P]ÔY 0:

\fpĶsĶ vj Pjhienþ.....................................................................................................................0:]rfcslstôrþc ËfnĶ"hfsĶ ..............................................................................................................0:

Fatld Iônkj ............................................................................................................................04Meyuh Iônkjsl ......................................................................................................................0;Ajslh Iônkjsl........................................................................................................................0;]jrs ËfnĶ"hf Iônkjsl.............................................................................................................0;

Ertfa ]fifcnĶ Mjvrj ..................................................................................................................0;Ajslhmj Iônkjsl....................................................................................................................07Fatld Iônkj vj Meyuh Iônkjsl .............................................................................................07Zykunfhf # ? .........................................................................................................................07

Ëôzþh ? .................................................................................................................................07Zykunfhf 9? ..........................................................................................................................0<Ëôzþh? ..................................................................................................................................0<

Ertfa Jhltjrnl Mjvrj .................................................................................................................=2Zykunfhf 0? ..........................................................................................................................=2Ëôzþh....................................................................................................................................=2Ertfa jhltjrnl mjvrjmj ëĶa Ķ" afrfatjrlstl$l ............................................................................=#Ajslh Iônkjsl........................................................................................................................=#Fatld Iônkj vj Meyuh Iônkjsl .............................................................................................=9Zykunfhf =? ..........................................................................................................................=9Ëôzþh ? .................................................................................................................................=9

Ertfa Aennjatôrnþ Mjvrj............................................................................................................=0Zykunfhf :? ..........................................................................................................................=0Ëôzþh ? .................................................................................................................................=0

]rfcslstôrþc hfaslhuh mj$jrnjrl.............................................................................................==Zykunfhf 4? ..........................................................................................................................==Ëôzþh? ..................................................................................................................................==

Autupnfhf Fhf`Ķ......................................................................................................................=:

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

"

ALPF F]EH I!NK!P!

Klrl"

Hfmmjclc jc aþëþa pfrëfsĶ  enfc fteh, hjrajzlcmj ilr ëjalrmja vj jtrfd Ķcmf môcjcjnjatrecnfrmfc enu#ur. Ëjalrmj$l enu#turfc jc f$Ķr pfrëf`Ķanfr pretec vj côtrecnfrmĶr. Rretec vjcôtrecnfr Ķc f$ĶrnĶ$Ķ yfanf#Ķa enfrfa ilrilrlcj j#lttlr. Rretecuc f$ĶrnĶ$Ķ jnjatrecuc f$ĶrnĶ$ĶcĶc 7222aftĶmĶr. Jnjatrec vj pretecuc jnjatrla yþanjrl ilrilrlcj j#lttlr. Rretecnfr pezltld yþanþ enup,jnjatrecnfr cjkftld yþanþmþr. Côtrecnfr yþasþz pfrëf`ĶanfrmĶr. Pjrijst gfnmj fteh côtr gfnmjmlr yfcl jnjatrec sfyĶsĶ  pretec sfyĶsĶcf j#lttlr. Ftehnfrmfal jnjatrec sfyĶsĶ  ilrmjc yþzij#j afmfr mj$l#hjatjmlr. Jnjatrec, côtrec vj pretec sfyĶsĶcf kôrj dfranĶ  ftehnfr vj iu ftehnfrmfcôzjnnlanjrl mj$l#la enfc jnjhjctnjr enu#ur. Ilr ftehuc cuhfrfsĶ  jnjatrec sfyĶsĶcf vjyf pretecsfyĶsĶcf j#lttlr. Ftehuc f$ĶrnĶ$Ķ lsj ëjalrmjatjal côtrec vj pretecnfr Ķc sfyĶsĶcf j#lttlr. Glmreojcftehucuc yfpĶsĶ #jaln "."“mj kôstjrlnhl#tlr.

%jaln ".". Glmreojc ftehu

\ôrþckj vj Afiua 

Jnjatrecnfr ftehuc ëjalrmj$l jtrfd Ķcmf  yôrþckjnjrmj môchjatjmlr. \ôrþckjnjr afiuanfrmf

tepnfchĶ#tĶr vj afiuanfr frfsĶcmf ie#nuanfr vfrmĶr. Ilr ftehuc ijnlrnl sfyĶmf afiu$u vfrmĶr. Gjr  ilr afiuatf iunucfilnj`ja hfaslhuh jnjatrec sfyĶsĶ  ijnlrnl vj sfilttlr. Afiuanfr ëjalrmjatjcltlifrjc A,N,H,C,E,R,V enfrfa fmnfcmĶr ĶnĶr. Afiuanfrmf iunucfilnj`ja hfaslhuh jnjatrec sfyĶsĶsĶrfsĶynf 9,7,"7,09,:2,;9,<7 enfrfa ilnlchjatjmlr. Ôrcja enfrfa dfranĶ  ftehnfr Ķc yfpĶnfr Ķ  #jaln".9“mj kôstjrlnhl#tlr.

%jaln ".9 Mj$l#la fteh yfpĶnfr Ķ f) Glmreojc, i) Nltyuh vj `) Plnlsyuh.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

9

Jcjrol IfctnfrĶ

Ëjalrmja jtrfd Ķcmfal môcjc jnjatrecnfr Ķc gjr ilrl fyr Ķ ilr yôrþckjyj vj gjr yôrþckj ijnlrnl ilr jcjrol sjvlyjslcj sfglptlr. Hemjrc dlzl$j kôrj gjr ilr jnjatrecuc fyr Ķa ilr jcjrol sjvlyjslhjv`uttur. Jnjatrecnfr ëjalrmjatjal pezltld yþanþ pretecnfr tfrfd Ķcmfc ëjalnlr. @eunehi afcucfkôrj jnjatrla yþanjrl frfsĶcmfal ëjalh auvvjtl hjsfdjclc afrjsl lnj tjrs erfctĶnĶmĶr. MenfyĶsĶynf

þst afiuanfrmf iunucfc jnjatrecnfr Ķc ëjalrmja tfrfd Ķcmfc ëjalnhj auvvjtl mfgf zfyĶdtĶr. Ilr ftehuc A afiu$ucmf iunucfc jnjatrecnfr, N afiu$ucmfal jnjatrecnfrf kôrj ëjalrmja tfrfd Ķcmfcmfgf auvvjtnl ilr #jalnmj ëjalnlr. Jnjatrecuc yôrþckjslclc ëfpĶ frttĶaëf jcjrolsl mj frtfr. Jnjatrecjcjrolsl petfcslyjn vj alcjtla jcjrolnjrlc tepnfhĶmĶr. %jaln ".0“tj yôrþckjnjrmjal jnjatrecnfr vjjcjrolnjrl kôrþnhjatjmlr.

%jaln ".0. Ëjalrmja jtrfd Ķcmfal yôrþckjnjr vj jcjrol sjvlyjnjrl.

jcjrolsl yfr Ķëf

 

jnjatrec?J, p?r 

JJJJJJr r r r r r  4:=09"4:=09"   >>>>>⇙>>>>>

Jnjatrecnfr Ķc jcjrolnjrl ëjalrmjatjc uzfanf#tĶaëf frthfatfmĶr. \fr ĶëfpĶ  aþëþa enfc jnjatrecucjcjrolsl jc aþëþatþr vj jcjrol yfr Ķëfp lnj frtfr. Afiua lëlcmjal jnjatrecnfr Ķc jcjrolnjrl frfsĶcmfal

dfra aþëþatþr. Afiuanfr frfsĶcmfal jcjrol dfra Ķ  lsj iþyþatþr. N afiu$ucmf lzlc vjrlnjchfaslhuh jnjatrec sfyĶsĶ sjalzmlr yfcl sjalz dfranĶ jcjrol sjvlyjsl iunucfilnlr.

Afiuanfr frfsĶcmfal iônkj, yfsfa iônkj vjyf jcjrol ie#nu$u enfrfa fmnfcmĶr ĶnĶr. Jnjatrecnfr iu iônkjmj iunuchfznfr. Iþtþc afiuanfr frfsĶcmf jcjrol ie#nu$u hjv`uttur. Ftehuc jc mĶ#afiu$ucmfal jnjatrecnfrf vfnfcs jnjatrec fmĶ vjrlnlr. Ftehuc tþrþcj kôrj mĶ# afiua A, N, H, Cvjyf if#af ilr afiua enfilnlr. Ôrcj$lc ifa Ķr ftehucmfal jnjatrec sfyĶsĶ 9< enup jc mĶ# afiua Cafiu$umur. Ifa Ķr ftehucmf ilr tfcj vfnfcs jnjatrec hjv`uttur (A89, N87, H8"7, C8").Ftehnfr Ķc alhyfsfn ôzjnnlanjrl vfnfcs jnjatrecnfr tfrfd Ķcmfc ijnlrnjclr. Iu jnjatrecnfr alhyfsfnrjfaslyecnfrf klrjr vj ftehnfr frfsĶcmf if$ enu#turur. Jc mĶ# afiuatf iunucfc vfnfcs jnjatrecnfr ftehla yfpĶmfc aenfynĶanf fyr Ķnfrfa  sjrijst jnjatrec gfnlcj kjnjilnlr. Jnjatrecnfr ilr ftehmfc

 if#af ilr ftehf ja ilr jcjrol uykunfcfrfa kjëlrlnjilnlr. Ftehuc jc mĶ# afiu$u tfhfhjc menu lsjml$jr ftehnfrnf jnjatrec fnĶ#vjrl#l yfpfhfz. Ilr fteh jnjatrec vjrml$lcmj pezltld, fnmĶ$Ķcmf lsj

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

0

cjkftld lyec enur. Rezltld lyec enu#tu$ucmf sjrijst afnfc jnjatrec, ftehuc ëjalrmj$lclcjtalslcmjc ëĶafrfa mĶ# jtalnjrj fëĶa gfnj kjnlr.

]ja fteh lëlc kjëjrnl enfc jcjrol mlyfkrfhnfr Ķ, ftehnfr ilr frfyf kjnjrja aftĶ  hfmmjylenu#turmu$ucmf kjëjrnl enhfz. AftĶ hfmmjnjrmj ftehnfr ilrilrlcj ëea yfa Ķc enmu$ucmfc tja ilr ftehmfal jcjrol sjvlyjnjrl, aftĶ hfmmjmj jcjrol ifctnfr ĶcĶ enu#turur. AftĶ ilr hfmmjmj jnjatrecnfr 

lëlc tja ilr ftehf kôrj mfgf dfznf jcjrol sjvlyjsl vfrm Ķr vj iu sjvlyjnjr ifctnfr lëjrlslcmjtepnfchĶ#tĶr. %jaln ".=“tj jcjrol ifctnfr Ķ kôstjrlnhl#tlr.

%jaln ".=. Jcjrol ifctnfr Ķ

%jaln ".=“tj kôrþnmþ$þ klil vfnfcs ifcmĶcĶc fntĶcmf ilr ëea ifct iunucfilnlr. Hfmmjclc jnjatrlasjnôzjnnlanjrlcl lc`jnjhja lëlc fëĶsĶcmfc vfnfcs ifcmĶ, lnjtlh ifcmĶ vj iu lal ifct frfsĶcmfal jcjrol

 ie#nu$u þzjrlcmj murhfa yjtjrnlmlr.

Fteh vj yfr Ķ  lnjtajc tjerlslcmj aunnfcĶnfc jnjatrec vent (jT) ilrlhl, ilr jnjatrecuc ilr T“nua kjrlnlh petfcslyjnlcj afr #Ķ gfrjajt jthjsl secu`u afzfcmĶ$Ķ jcjrolmlr. Ilr aftĶ hfmmjclc vfnfcs

 ifcmĶcmfal jnjatrecnfr Ķ  lnjtlh ifcmĶcf kjëlrhja lëlc ĶsĶ, Ķ#Ķa, jnjatrla klil jcjrolnjrmjc ilrluykunfcfilnlr. Hfmmjyj kjrlnlh uykunfcmĶ$Ķcmf enu#fc sjrijst jnjatrecnfr jnjatrla fa ĶhĶ þrjtlr.

Fa ĶhĶ  tf#Ķyfc jnjatrecnfr sjrijst jnjatrecnfrmĶr. Fa Ķh yþa fa Ķ#Ķ  enmu$ucf kôrj ijnlrnl ilr ceatfmfc sfclyjmj fafc yþa hlatfr Ķ enfrfa tfcĶhnfcfilnlr. \þa ilrlhl `eunehi vj jcjrol ilrlhl

 oeunj lnj jnjatrec jcjrolsl jT frfsĶcmfal lnl#al f#f$Ķmfal klil yfzĶnfilnlr.

Jcjrol 8 Kþë x _fhfc L 8 V / t   " Fhpjr 8 " @eunehi / sfclyj

[ 8 R x t 8 T x L x t V 8 L x t " Fhpjr 8 4.9: x "7"2 jnjatrec / sfclyjOeunj 8 [ftt x sfclyj " @eunehi 8 4.9: x "7"2 jnjatrec[ 8 T x V " jnjatrec yþaþ 8 ".4 x "<"2∙ @eunehi

" jT 8 ".4 x "<"2∙  oeunjs

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

=

!njtajc, \frĶ !njtajc vj \fnĶtafcnfr

Hfmmjnjrlc jnjatrlasjn lnjtajcnl$l sjrijst jnjatrec hlatfr Ķcf if$nĶmĶr. Hfmmjnjrlc 0`h" “nþa gf`lh lëjrlslcmjal sjrijst jnjatrec hlatfrnfr Ķcf kôrj lnjtajc, yfr Ķ lnjtajc vj yfnĶtafcnfr f#f$Ķmfaltfinemf kôstjrlnhl#tlr.

]fine ".". !njtajc, \fnĶtafc vj \fr Ķ !njtajcnjrmjPjrijst jnjatrec sfyĶnfr Ķ

Pjrijst Jnjatrec PfyĶsĶ

!njtajc 0`h/"299 - 0`h/"290

\frĶ !njtajc 00 `h`h /"2/"2   "=7 ∙

\fnĶtafc 0`h/"2

!njtajc, yfr Ķ

  lnjtajc vj yfnĶ

tafcnfr jcjrol ie#nuanfr Ķ

cf kôrj mj sĶ

dnfcmĶ

r Ķ

r. Iu muruh%jaln".:“tj kôstjrlnhl#tlr. Jcjrol ie#nu$u ilr lnjtajcmj 2.2: jT“tfc aþëþa, yfnĶtafcnfrmf lsj 7jT“mjc iþyþatþr. \fr Ķ lnjtajcnjrmjal jcjrol ie#nu$u 2.; lnj ".= jT frfsĶcmfmĶr.

%jaln ".:. f) !njtajc, i) \fr Ķ !njtajc vj `) \fnĶtafc hfnzjhjclc jcjrol ifct mlyfkrfhnfr Ķ.

!njtajcnjrmj jcjrol ifct mlyfkrfhĶcmfc kôrþnmþ$þ klil vfnfcs ifcmĶ  lnj lnjtlh ifcmĶ  frfsĶcmf ie#nua yeatur. Tfnfcs jnjatrecnfr ftehnfrf zfyĶd enfrfa if$nĶmĶr. Tfnfcs jnjatrecuc ftehmfcfyr Ķnfrfa sjrijst jnjatrec gfnlcj kjnhjsl ëea aenfymĶr. Emf sĶ`fanĶ$Ķcmf lnfvj ilr jcjrol

uykunfhfmfc jnjatrla fa ĶhĶcĶ lnjtjilnj`ja ëea sfyĶmf sjrijst jnjatrec hjv`uttur. Hjtfnnjrlc lyllnjtajc enhfnfr ĶcĶc jc ôcjhnl sjijil sec yôrþckjslcmj ", 9 vjyf 0 jnjatrec iunuchfsĶ  vj iujnjatrecnfr Ķ aenfynĶanf vjrjilnhjnjrlmlr.

\fr Ķ  lnjtajcnjrmjal jcjrol ie#nu$u cjmjclynj lnjtlh ifcmĶcmf glë jnjatrec enhfmĶ$Ķ  afiunjmlnjilnlr. \fr Ķ  lnjtajcnjrlc vfnfcs yôrþckjnjrl lnjtajcnjrj kôrj mfgf dfznf menu enmu$ucmfcftehnfr frfsĶcmfal if$  mfgf auvvjtnlmlr. \fr Ķ  lnjtajcl lnjtajc gfnj kjtlrhja lëlc iu if$Ķ

 iezfilnj`ja ilr jcjrol uykunfhfa kjrjalr. Plnlsyuhuc jcjrol ie#nu$u "." jT, kjrhfcyuhuc 2.;jT“tur. Kjrhfcyuh slnlsyuhf kôrj mfgf lyl lnjtajcmlr. Kjrhfcyuhuc sjrijst jnjatrec sfyĶsĶslnlsyuhf kôrj "222 aft dfznfmĶr. Emf sĶ`fanĶ$ĶcĶc sf$nfmĶ$Ķ  fz ilr jcjrol lnj ifzĶ  jnjatrecnfr 

 if$nfr ĶcĶ  aepfrfrfa lnjtlh ifcmĶcf ftnfyfilnlrnjr. Iucmfc menfyĶ  yfr Ķ  lnjtajc hfnzjhjnjr emf

sĶ`fanĶ$Ķcmf jnjatrla fa ĶhĶcĶ  lnjtlrnjr. Ôrcj$lc slnlsyuhuc sjrijst jnjatrec hlatfr Ķ  @9:   !  “mj0"2 `h/"2x9 , @"22   !  “mj 0"9 `h/"2x9 “tþr. PĶ`fanĶanf erfctĶnĶ enfrfa sjrijst jnjatrec sfyĶsĶcĶc

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

:

frthfsĶ  yfcl mlrjc`lc mþ#hjsl cjmjclynj yfr Ķ  lnjtajcnjr cjkftld sĶ`fanĶa aftsfyĶsĶcf sfglptlr.!njtajcnjrmj lsj tf#ĶyĶ`Ķ  sfyĶsĶ  sĶ`fanĶa lnj frthfz. PĶ`fanĶ$Ķc frthfsĶ  lnj jnjatrecnfr Ķcgfrjajtnjrlcmj enu#fc tltrj#lhnjr fa Ķh kjël#lcl zernf#tĶr Ķr. Iucmfc menfyĶ  lnjtajcnjrlc mlrjc`lsĶ`fanĶanf frtfr vj mlrjcë pezltld sĶ`fanĶa aftsfyĶnĶmĶr. \fnĶtafcnfrmf jcjrol ie#nu$ucuc ëea iþyþa enhfsĶ cjmjclynj jcjrol vjrjrja vfnfcs jnjatrecnfr Ķ  lnjtlh ifcmĶcf kjëlrhja ëea zermur. Tfnfcs

 ifcmĶcĶc tfhfhjc menu enhfsĶcmfc menfyĶ lmjfnmj lnjtlh ifcmĶcmf glë jnjatrec yeatur. Rrftlatj

lnjtlh ifcmĶcmf ëea fz sfyĶmf jnjatrec enhfsĶ cjmjclynj yfnĶatfcnfr ëea aþëþa fa Ķhnfr Ķ lnjtlr.

Aevfnjct If#

Ftehnfr frfsĶcmf jnjatrecnfr Ķc ertfa aunnfcĶnhfsĶ  lnj aevfnjct if !   enu#ur. FycĶ  `lcs ftehnfr aevfnjct if$ lnj þë ieyutnu mþzjcnl ilr arlstfn yfpĶ enu#turur. Arlstfn yfpĶ pjrlyemla ilr #jalnmjajcmlcl tjarfrnfyfc yfpĶmĶr. AftĶ  `lslhnjrlc ëe$u arlstfn yfpĶmfmĶr. Rfynf#Ķnfc gjr jnjatrec,ajcmlslcl pfynf#fc lal aeh#u ftehuc ëjalrmj$l tfrfd Ķcmfc j#lt ilr #jalnmj ëjalnhjatjmlr. Tfnfcsjnjatrecnfr Ķc iu #jalnmj pfynf#ĶhĶ ftehnfr Ķ ilr frfmf tutfr. Aevfnjct if$  lnj jnjatrec pfynf#ĶhĶ

ftehuc côtr enhfsĶcĶ mj$l#tlrhjz.

AfrfrnĶ  ilr fteh yfpĶsĶcmf sec yôrþckjmj 7 jnjatrec iunucur. Pec yôrþckjslcmj = jnjatrec iunucfc ilr yfr Ķ lnjtajc hfnzjhjmj (slnlsyuh vjyf kjrhfcyuh), ajcmlnjrlcj aeh#u enfc ftehnfr jnjatrec pfynf#frfa aevfnjct if$  enu#turur. Iôynj`j ftehnfr Ķc sec yôrþckjnjrlcmjal jnjatrecsfyĶsĶ 7“j tfhfhnfcĶr vj arlstfn yfpĶ enu#ur. Plnlsyuh arlstfnlclc lal ieyutnu yfpĶsĶ %jaln ".4“mfkôstjrlnhl#tlr.

%jaln ".4. Plnlsyuh arlstfnlclc lal ieyutnu yfpĶsĶ.

Pfd \frĶ !njtajc Hfnzjhjclc Ôzjnnlanjrl

Pfd ilr yfr Ķ lnjtajc arlstfnlcmj A 2! ( @9;0!∙ )“mj vfnfcs jnjatrecnfr Ķc gjpsl aeh#u ftehnfrf sĶa Ķ ilr #jalnmj aevfnjct if$ lnj if$nĶmĶr. If$nĶ enfc jnjatrecnfr arlstfn yfpĶ lëlcmj gfrjajt jmjhjz vjjnjatrla fa ĶhĶcĶ  lnjtjhjz. Tfnfcs ifcmĶ  menumur vj lnjtlh ifcmĶcmf glë jnjatrec yeatur. \fr Ķlnjtajc arlstfn ilr yfnĶtafc klil mfvrfcĶr.

Pfd ilr yfr Ķ lnjtajc arlstfnl emf sĶ`fanĶ$Ķcmf ilr hlatfr lnjtajcnla kôstjrlr. Emf sĶ`fanĶ$Ķcmf arlstfnĶsĶcfrfa ftehnfr Ķ jcjrolnjclr. Ftehnfr Ķc jcjrolnjchjsl vfnfcs jnjatrecnfr Ķc jcjrolsl frttĶr Ķr. Tfnfcs

 ifcmĶcĶc þst sjvlyjslcmj iunucfc jnjatrecnfrmfc ifzĶnfr Ķ  yjtjrnl alcjtla jcjrolyj unf#frfa ftehmfc if$ĶcĶ  aepfr Ķr vj sjrijst jnjatrec gfnlcj kjnlr. \fcl ie#nua ifcmĶcĶ  ftnfyfrfa lnjtlh

 ifcmĶcf kjëjr. Pfd enfc Kj vj Pl“mjal sjrijst jnjatrecnfr, sfmj`j vfnfcs ifcm Ķcmf iunucfc vj ĶsĶ

vjyfĶ

a afycfanfr Ķ

cmfc aevfnjct if$Ķ

  aepfrhfyf yjtj`ja jcjrol fnfc vjyf tfhsfdnf#tĶrfhfhfatfc afycfanfcfc fz sfyĶmfal jnjatrecmfc enu#tur. "0"2 fteh lëlcmj ilr afta Ķftehu iunucmurfc slnlsyuh sfd afiun jmlnlr.

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Arlstfn yfpĶmf ĶsĶ  jcjrolsl fnfrfa aevfnjct if$ĶcĶ  aepfrfc ilr jnjatrec vj jnjatrecuc fyr ĶnhfsĶcjmjclynj enu#fc ie#nua %jaln ".;“mj kôstjrlnhl#tlr. Jnjatrec afyijmjc fteh pezltld yþanþ gfnjkjnlr. Jnjatrecuc ftehmfc fyr ĶnhfsĶ lnj aevfnjct if$mf enu#fc ie#nu$f mjnla  mjclr. Mjnla pezltld yþanþ enup ilr f$ĶrnĶ$f sfglp mj$lnmlr vj jnjatrecnfr Ķ  ëjajr. Pjrijst afnfc jnjatrec vj enu#fcmjnla, jnjatrec-mjnla ëltdl enfrfa fmnfcmĶr ĶnĶr. Arlstfn lëlcmjal jnjatrec-mjnla ëldtl sfyĶsĶ sĶ`fanĶanf

frtfr.

%jaln ".;. Emf sĶ`fanĶ$Ķcmf sfd slnlsyuh arlstfnlcmj ilr jnjatrecuc if$ĶcĶ aepfrtfrfa sjrijst gfnjkjnhjsl vj mjnla enu#hfsĶ.

Emf sĶ`fanĶ$Ķcmf iunucfc yfr Ķ  lnjtajc arlstfnj ilr kjrlnlh uykunfcmĶ$Ķcmf, sĶ`fanĶa cjmjclynjsjrijst afnfc jnjatrecnfr jnjatrla fa ĶhĶ  þrjtlr. Pjrijst jnjatrecnfr ftehnfr Ķc ëjalh jtalslcmjcaurtunmu$u lëlc gĶznĶ ilr #jalnmj afycf$Ķc pezltld u`ucf me$ru gfrjajt jmjr. PĶ`fanĶ$Ķc frthfsĶ lnjsjrijst jnjatrec vj mjnla sfyĶsĶ  frtfr. Aevfnjct if$nfr ĶcĶ  aepfrfc sjrijst jnjatrecnfr Ķcenu#turmu$u mjnlanjr mj gfrjajt gfnlcmjmlr. Aevfnjct if$ lëlcmjal mjnla aeh#u ftehuc jnjatrecu

tfrfd Ķcmfc menmurunur. Aeh#u ftehmf enu#fc mjnla, ecuc aeh#usu enfc fteh tfrfd Ķcmfcmenmurunur. Mjnla afycf$Ķc cjkftld u`ucf me$ru lnjrnjr vj afycfatfc aepfc ilr jnjatrec mjnl$lmenmurur. PĶ`fanĶa cjmjclynj jnjatrec-mjnla ëldtl sþrjanl enu#ur vj yfr Ķ lnjtajcmjc ilr fa Ķh kjëjr.Mjnlanjrl menmurfc jnjatrecnfr, sjrijst jnjatrec enhfa lëlc yjtjrnl hlatfrmf jcjrolnjcjhjhl# enfcvfnfcs jnjatrecnfrmĶr. Pjrijst jnjatrecuc gfrjajtl mjnla gfrjajtlcj kôrj ëea gĶznĶmĶr. \fr Ķlnjtajcmjc kjëjc fa Ķh, sjrijst jnjatrecnfr Ķc enu#turmu$u fa Ķh lnj mjnlanjrlc enu#turmu$u fa ĶhĶctepnfhĶmĶr. Mjnla gfrjajtl sjrijst jnjatrecnfr Ķc gfrjajtlclc tjrslcjmlr. Pfd ilr yfr Ķ  lnjtajcmjsjrijst jnjatrecnfr Ķc sfyĶsĶ  lnj mjnlanjrlc sfyĶsĶ ilrilrlcj j#lttlr. Pfd ilr yfr Ķ  lnjtajc hfnzjhjyjafta Ķ  ftehnfr Ķ  janjcml$lcmj ifct yfpĶsĶ, jnjatrlasjn afrfatjrlstlanjrl mj$l#lr. Afta Ķ  erfcĶ  echlnyecmf ilr `lvfr Ķcmf enhfsĶcf rf$hjc yfr Ķ  lnjtajclc mfvrfcĶ#Ķ  ôcjhnl ônëþmj dfranĶnf#Ķr.Afta Ķnfcfc hfnzjhj C tlpl vjyf R tlpl hfnzjhjyj môcþ#þr.

C ]lpl Hfnzjhj

Tfnfcs jnjatrec sfyĶsĶ  ij#  enfc fctlhec, frsjcla, ilzhut vj desder klil ilr afta Ķ  hfmmjslkjrhfcyuh vjyf slnlsyuh tfifcf ôc`jmjc ijnlrnjchl# hlatfrmf janjcjrja C tlpl hfnzjhj jnmjjmlnlr. %jaln ".7“mj slnlsyuh hfnzjhjyj fz hlatfrmf frsjcla janjcjrja jnmj jmlnjc C tlplhfnzjhjclc sĶ`fanĶa lnj lnl#alsl kôstjrlnhl#tlr. Frsjcla ftehnfr ĶcĶc ij# vfnfcs jnjatrecu slnlaecucarlstfn yfpĶsĶcf tfh enfrfa uyhfz. Pfmj`j môrt jnjatrecu aevfnjct if$mf iunucur. Ij#lc`ljnjatrec aevfnjct if$f aftĶnhfz vj hutnfa sĶd Ķr sĶ`fanĶatf aeh#u ftehf kjv#ja ilr #jalnmj

 if$nĶmĶr. Iu jnjatrec emf sĶ`fanĶ$Ķcmf fnmĶ$Ķ jcjrol (2.2: jT `lvfr Ķcmf) lnj sjrijst jnjatrec enur.

Iu jnjatrecuc ftehmfc fyr ĶnhfsĶ  lnj mjnla enu#hfz. Frsjcla ftehu jnjatrec afyijttl$l lëlc pezltld lyec enur. Rezltld lyecnfr Ķc arlstfn yfpĶ lëlcmjal aecuhnfr Ķ mj$l#hjz.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

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%jaln ".7. Plnlsyuhf frsjcla janjchjslynj jnmj jmlnjc C tlpl hfnzjhj.

Aevfnjct if$Ķ enu#turfc jnjatrecnfrmfc ifzĶnfr Ķ emf sĶ`fanĶ$Ķcmf lnjtlh ifcmĶcf kjëjrja mjnlanjr enu#ur. !njtlh ifcmĶcmfal sjrijst jnjatrec sfyĶsĶ vfnfcs ifcmĶcmfal mjnla sfyĶsĶcmfc ëea dfznfmĶr.Iu hlatfr afta Ķnfhf erfcĶ lnj ijnlrnjclr. Afta Ķnfhf l#njhl frsjcl$lc sjrijst jnjatrec sfyĶsĶ, emfsĶ`fanĶ$Ķcmf enu#fc jnjatrec-mjnla ëldtlclc ilr hlnyec aftĶ enf`fa #jalnmj yfpĶnĶr. Pfd afiun jmlnjc

slnlsyuh hfnzjhjslcmj emf sĶ`fanĶ$Ķcmf gjr "9"2 ftehmf ilr sjrijst jnjatrec iunucur. 4"2

ftehmf ilr afta Ķ ftehu iunucursf, tf#ĶyĶ`Ķ  erfcĶ  4"2 (ilr hlnyec aft) frtfr. C tlpl hfnzjhjmjsjrijst jnjatrecnfr ëe$ucnua fa Ķh tf#ĶyĶ`ĶsĶ vj mjnlanjr fzĶcnĶa fa Ķh tf#ĶyĶ`ĶsĶmĶr. %jaln ".<“mf Ctlpl hfnzjhjmj jnjatrec vj mjnla fa Ķ#nfr Ķ  kôstjrlnhl#tlr. Jnjatrecnfr afycf$Ķc (‐) u`ucmfc (+)u`ucf me$ru gfrjajt jmjr. Fa Ķh yôcþ jnjatrec fa Ķ#ĶcĶc tjrsl enfrfa afiun jmlnlr.

%jaln ".<. C tlpl hfnzjhjmj jnjatrec vj mjnla fa Ķ#nfr Ķ.

R ]lpl Hfnzjhj

Tfnfcs jnjatrec sfyĶsĶ þë enfc lcmlyuh, ierec, fnuhlcyuh vj kfnnlyuh klil ilr afta Ķ hfmmjslkjrhfcyuh vjyf slnlsyuh tfifcf ôc`jmjc ijnlrnjchl# hlatfrmf janjcjrja R tlpl hfnzjhj jnmj

jmlnlr. %jaln "."2“mf slnlsyuh hfnzjhjyj fz hlatfrmf lcmlyuh janjcjrja jnmj jmlnjc R tlplhfnzjhjclc sĶ`fanĶa lnj lnl#alsl kôstjrlnhl#tlr. Lcmlyuh ftehnfr ĶcĶc þë vfnfcs jnjatrecuslnlsyuhuc arlstfn yfpĶsĶcf tfh enfrfa uyhfz. Lcmlyuh arlstfn yfpĶmf þë aevfnjct if$ enu#turur vj ilr aevfnjct if$  ie#  afnĶr. Ie#  afnfc aevfnjct if$mfal mjnla, aeh#u ftehnfr Ķc vfnfcsjnjatrecnfr Ķ  lnj aenfynĶanf menmurunfilnlr. Iu mjnl$lc menmurunhfsĶ  lëlc kjrjajc jcjrol, vfnfcsjnjatrecnfr Ķc ie#nua ifcmĶcĶ  ftnfyfrfa lnjtlhj ifcmĶcf kjëhjnjrl lëlc kjrjajc jcjrolmjc ëea aþëþatþr. Lcmlyuh ftehnfr Ķcf aeh#u enfc slnlsyuh ftehnfr ĶcĶc vfnfcs jnjatrecnfr Ķ  emfsĶ`fanĶ$Ķcmf yjtjrnl hlatfrmf jcjrol fnfrfa (2.27 jT `lvfr Ķcmf) mjnlanjrl aenfynĶanf menmurur.!cmlyuh ftehnfr Ķ jnjatrec fnmĶ$Ķ  lëlc cjkftld lyec enur. Emf sĶ`fanĶ$Ķcmf slnlsyuh ftehnfr Ķcmfenu#fc jnjatrec-mjnla ëldtl cjmjclynj lnjtlh ifcmĶcmf fz sfyĶmf sjrijst jnjatrec mf iunucur. R tlplhfnzjhjmj ëe$ucnua fa Ķh tf#ĶyĶ`Ķnfr Ķ  mjnlanjr vj fzĶcnĶa fa Ķh tf#ĶyĶ`Ķnfr Ķ  jnjatrecnfrmĶr. Iumuruh %jaln ".""“mj kôstjrlnhl#tlr.

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%jaln "."2. Plnlsyuhf lcmlyuh aftĶnfrfa jnmj jmlnjc R tlpl hfnzjhj.

%jaln "."". R tlpl hfnzjhjmj jnjatrec vj mjnla fa Ķ#nfr Ķ.

Afta Ķ Hfmmjnjrlcj PĶ`fanĶ#Ķc Jtalsl

PĶ`fanĶanf C vjyf R tlpl hfnzjhjmj enu#fc jnjatrec-mjnla ëldtl, yfcl fzĶcnĶa fa Ķh tf#ĶyĶ`Ķnfr Ķfrtfr. Afta Ķ hfmmjslcmjc kjnjc ëe$ucnua tf#ĶyĶ`Ķnfr Ķ lsj sĶ`fanĶanf mj$l#hjz. Ôrcja enfrfa C tlpl

 ilr hfnzjhjmj dfranĶ  sĶ`fanĶanfrmf enu#fc jnjatrecnfr vj mjnlanjr ]fine ".9“mj kôstjrlnhl#tlr.Hutnfa sĶd Ķrmf (-9;0 ²@) jnjatrec-mjnla ëldtl enu#turf`fa ilr jcjrol yeatur. FycĶ zfhfcmf afta Ķftehnfr ĶcĶc jnjatrecnfr ĶcĶ  lnjtlh ifcmĶcf kjëlrj`ja sjvlyjmj ilr jcjrol mj yeatur. EmfsĶ`fanĶ$Ķcmf (9: ²@) fzĶcnĶa tf#ĶyĶ`Ķnfr ĶcĶc sfyĶsĶ, afta Ķ  hfmmjslcmjc afycfanfcfc sjrijstjnjatrec sfyĶsĶcf kôrj ëea mþ#þatþr. PĶ`fanĶa 9:2 ²@ enmu$ucmf mjnla sfyĶsĶ  jnjatrec sfyĶsĶcfyfanf#Ķa enfrfa j#lttlr vj hfmmj sfd ilr yfr Ķlnjtajc klil mfvrfcĶr.

]fine ".9. DfranĶ sĶ`fanĶanfrmf tlpla ilr C tlpl slnlsyuhuc tf#ĶyĶ`Ķ aecsfctrfsyecnfr Ķ.

PĶ`fanĶa Afta  Ķ hfmmjslclcsjrijst jnjatrecnfrĶ

PĶ`fanĶanf enu"fcjnjatrec (mjnla) sfyĶsĶ

]epnfh sjrijstjnjatrec sfyĶsĶ

-9;0 ²@ 2 2 29: ²@   "2": ".:x"2"2

≇"2":

922 ²@   "2": "2": 9x"2":

9:2 ²@   "2": "2"4 "."x"2"4

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

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F. M!\E]NFY vj ËJ$!]NJY !

R-C Oecaslyecu

R vj C tlpl hfnzjhjnjr ilr arlstfn yfpĶ lëlcmj ilr frfyf kjtlrlnml$lcmj lal iônkj frfsĶcmf ilr R-C

 oecaslyecu enu#tur. Iu jnjhfc yfr Ķ  lnjtajc mlyet enfrfa ilnlclr vj tja yôcmj fa Ķh kjëlrlr. R-C oecaslyecu mlyet, trfcslstôr vj ml$jr yfr Ķ lnjtajc jnjhfcnfr Ķc tjhjnlmlr.

Oecaslyec enu#hfmfc ôc`j emf sĶ`fanĶ$Ķcmf, C iônkjslcmj ëea sfyĶmf sjrijst jnjatrec vj R iônkjslcmj ëea sfyĶmf mjnla hjv`uttur. Jnjatrecnfr vj mjnlanjr iþtþc yôcnjrj sjrijstëj gfrjajtjmjr. Oecaslyec enu#hfsĶ  fcĶcmf jnjatrecnfrmfc ilr a ĶshĶ  R iônkjslcj me$ru gfrjajt jmjr. Iugfrjajtlc sjijil mldþzyec fa ĶhĶmĶr. Mldþzyec fa ĶhĶ jnjatrec ye$ucnu$ucuc ëea enmu$u yjrmjcfz enmu$u yjrj me$ru enu#fc yfyĶnhfmĶr. R iônkjslcj kjëjc jnjatrecnfr mjnlanjrnj ilrnj#lr. C

 iônkjslcmj jnjatrecnfr ĶcĶ  afyijmjc ftehnfr (+) vj R iônkjslcmj jnjatrec fnfrfa mjnlanjrlclafyijmjc ftehnfr (-) enur. Iucuc secu`ucmf R-C oecaslyecu yfa ĶcĶcmf ëea sfyĶmf pezltld vjcjkftld lyec enur. C iônkjslcmjal jnjatrecnfr Ķc gjpsl R iônkjslcj kjëjhjz. C iônkjslcmjal

jnjatrecnfr pezltld lyecnfr tfrfd Ķcmfc ëjalnlr. Iu jnjatrecnfr Ķc R iônkjslcj kjëjilnhjnjrl lëlccjkftld lyecnfr Ķc lthj auvvjtlcl yjchjnjrl kjrjalr. %jaln 9."(f)“mf R-C oecaslyecu vj (i)“mj

 oecaslyecuc ilrnj#hjslcmjc secrf enu#fc ie#nua iônkjsl kôstjrlnhl#tlr. Ie#nua iônkjsl ilr plnklil kjrlnlh þrjtlr. Ie#nua iônkjslcmj enu#fc kjrlnlh kjrhfcyuh mlyetnfrmf 2.0 T, slnlsyuhmlyetnfrmf lsj 2.; T“tur.

%jaln 9.". f) R-C oecaslyecu, i) Ie#nua iônkjslclc enu#hfsĶ.

Ie#nua iônkjsl, oecaslyecu mldþzyec yenuynf kjëhja lstjyjc ëe$ucnua tf#ĶyĶ`Ķnfr Ķ lëlc ilr jckjnenu#turur. C iônkjslcmjal ilr sjrijst jnjatrecuc R iônkjslcj kjëjilnhjsl lëlc iu kjrlnlh

 petfcslyjnlcl f#f`fa ilr jcjrolyj sfglp enhfsĶ  kjrjalr. Ie#nua iônkjslcmj sĶ`fanĶa cjmjclynj

enu#fc jnjatrec-mjnla ëldtnjrl sþrþanjchj (mrldt) fa ĶhĶ lnj mldþzyec fa ĶhĶcĶc tjrslcj gfrjajt jmjr.Iu lal fa ĶhĶc tepnfhĶ sĶd ĶrmĶr.

]jrs Autupnfhf

R-C oecaslyecucuc R iônkjslcj cjkftld vj C iônkjslcj pezltld ilr kjrlnlh uykunfchfs Ķcf tjrs

autupnfhf  (penfrhf) mjclr. R iônkjslcmjal mjnlanjr afycf$Ķc cjkftld u`u tfrfd Ķcmfc vj C iônkjslcmjal jnjatrecnfr afycf$Ķc pezltld u`u tfrfd Ķcmfc ëjalnlr. Ëe$ucnua tf#ĶyĶ`Ķnfr Ķ oecaslyecmfc uzfanf#frfa oecaslyec jtrfd Ķcmf mfgf ëea pezltld vj cjkftld lyec enu#ur. Kjël`lrjolhmj ëe$ucnua fa Ķh tf#ĶyĶ`Ķnfr Ķ  ilr fa Ķh enu#turur. Ie#nua iônkjsl kjcl#njyjrja afrfrnĶ

rjolhmj iu iônkjclc petfcslyjnl R-C oecaslyecucf uykunfcfc Y T kjrlnlhlcj j#lt enur vj

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

"2

ëe$ucnua tf#ĶyĶ`Ķ  fa ĶhĶ  sĶd Ķr enur. Ëea aþëþa ilr Y T kjrlnlhl ëe$ucnua fa Ķh tf#ĶyĶ`Ķnfr ĶcĶc

fa Ķ#ĶcĶ  murmurhfa lëlc yjtjrnlmlr. ]jrs autupnfcfc ilr R-C oecaslyecucmf fzĶcnĶa fa Ķh

tf#ĶyĶ`Ķnfr Ķ  oecaslyecmfc ilr sĶzĶctĶ  fa ĶhĶ kjëlrlr. Y T kjrlnlhl frttĶaëf sĶzĶctĶ  fa ĶhĶ  frtfr. Y T

kjrlnlhlclc mfgf dfznf frttĶr ĶnhfsĶ fzĶcnĶa fa Ķh tf#ĶyĶ`Ķnfr ĶcĶc sfyĶsĶcĶ frttĶrhfz ëþcaþ jnjatrec-mjnla ëldtlclc hlatfr Ķ  sĶ`fanĶ$f if$nĶmĶr. Oecaslyecmfc kjëjc iu fa Ķhf tjrs meyhf fa ĶhĶ mjclr.

%jaln 9.9“mj tjrs autupnfhf muruhucmfal R-C oecaslyecu vj lëlcmjc kjëjc sĶzĶctĶ  fa ĶhĶ

kôstjrlnhl#tlr.

%jaln "."0 ]jrs autupnfhf muruhucmfal R-C oecaslyecu.

ËĶ# Mjnlchj

R-C oecaslyecucf uykunfcfc tjrs kjrlnlhlc frtĶr ĶnhfsĶ  fzĶcnĶa fa Ķh tf#ĶyĶ`Ķnfr ĶcĶc mfgf gĶznĶgfrjajt jthjnjrlcj cjmjc enur. Iu fa Ķh tf#ĶyĶ`Ķnfr Ķ  arlstfn lëlcmjal ftehnfrf ëfrpfrfa vfnfcsjnjatrecnfr Ķc jcjrolnjchjslcj vj aevfnjct if$Ķ aepfrfrfa vfnfcs jnjatrecnfr Ķc sjrijst afnhfsĶcfcjmjc enur. Pjrijst afnfc fzĶcnĶa fa Ķh tf#ĶyĶ`Ķnfr Ķ gĶznf gfrjajt jmjrja if#af ftehnfrf ëfrpfr vjyjcl jnjatrec-mjnla ëldtnjrlclc enu#hfsĶcf cjmjc enur. Iôynj`j fzĶcnĶa fa Ķh tf#ĶyĶ`Ķ  sfyĶsĶ gĶznĶ

 ilr #jalnmj (ëĶ$ klil) yþasjnlr. Iu enfyf ëĶ$ mjnlchj mjclr vj fzĶcnĶa fa Ķh tf#ĶyĶ`Ķnfr ĶcĶ iu #jalnmjgĶznfcmĶrhfa lëlc kjrjanl jcjrolyl enu#turfc kjrlnlhj tjrs mjvrlnhj kjrlnlhl ( IMT ) mjclr. ]jrs

mjvrlnhj kjrlnlhl sĶ`fanĶ$f, afta Ķ hlatfr Ķcf vj if#af dfatôrnjrj if$nĶmĶr.

!njrl Autupnfhf

R-C oecaslyecucuc R iônkjslcj pezltld vj C iônkjslcj cjkftld ilr kjrlnlh uykunfchfsĶcf lnjrl

autupnfhf  mjclr. R iônkjslcmjal mjnlanjr afycf$Ķc pezltld u`u tfrfd Ķcmfc vj C iônkjslcmjaljnjatrecnfr afycf$Ķc cjkftld u`u tfrfd Ķcmfc oecaslyecf me$ru ltlnlr. Iu iônkjmjal pezltld vjcjkftld lyecnfr côtr gfnj kjnhjyj if#nfr. Oecaslyecf uykunfcfc DT kjrlnlhl yjtjrl afmfr iþyþa 

lsj, mlyet lëlcmj enu#fc kjrlnlh petfcslyjnl sĶd ĶrnfcĶr vj ie#nua iônkjsl ertfmfc afnafr. C iônkjslcmjal jnjatrecnfr yjtjrnl jcjrol fnfrfa R iônkjslcj kjëjr. R iônkjslcj kjëjc jnjatrec iurfmf vfnfcs jnjatrec gfnlcj kjnlr vj mjnlatjc mjnl$j ftnfyfrfa afycf$Ķc pezltld u`ucf me$rugfrjajt jmjr. R iônkjslcmj vfnfcs jnjatrecnfr Ķc gfrjajtl, mjnlanjrlc tjrs yôcmj gfrjajtl mjhjatlr.

Fa Ķh yôcþ, mjnla gfrjajtl lnj fycĶ yôcmj afiun jmlnlr. C iônkjslcl tjra jmjc gjr jnjatrec lëlcafycf$Ķc cjkftld u`ucmfc ilr jnjatrec ëĶafr. Iôynj`j oecaslyecmfc sþrjanl fa Ķh kjëjr. DT

kjrlnlhl slnlsyuh mlyettf 2.; T vj kjrhfcyuh mlyettf 2.0 T“tfc iþyþa enmu$ucmf R-C

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

""

 oecaslyecucmfc fa Ķh kjëhjyj if#nfr. Kjrlnlhlc ilrfz mfgf frttĶr ĶnhfsĶ  fa ĶhĶc gĶznf frthfsĶcfcjmjc enur. Fa ĶhĶ  sĶcĶrnfhfa lëlc mlyemf sjrl ilr mlrjcë if$nfcĶr. %jaln 9.0“tj lnjrl yôcmjautupnfchĶ# ilr R-C oecaslyecu kôstjrlnhl#tlr.

 C iônkjslcmj ëe$ucnua fa Ķh tf#ĶyĶ`ĶsĶ  enfc jnjatrecnfr Ķc, R iônkjslcj kjëhjnjrl mldþzyec lnjenur. R iônkjslcmj jnjatrecnfr fzĶcnĶa fa Ķh tf#ĶyĶ`Ķnfr ĶmĶr. Iu muruh trfcslstôrþc ëfnĶ#hfsĶcĶc

fcnf#ĶnhfsĶ fëĶsĶcmfc ôcjhnlmlr.

%jaln 9.0. !njrl yôcmj autupnfchĶ# R-C oecaslyecu.

Mlyemuc T-L Afrfatjrlstl#l

R-C mlyemucuc R iônkjslcj fcet vj C iônkjslcj aftet lshl vjrlnlr. !njrl yôcmj autupnfchĶ#

mlyettf fa Ķh R“mjc C“yj me$ru fafr. Mlyemuc ea sjhienþ lnjrl yôcmj autupnfchĶ#  mlyettfckjëjc fa Ķh yôcþcþ kôstjrlr. %jaln 9.=“tj mlyemuc sjhienþ vj T-L afrfatjrlstl$l kôstjrlnhl#tlr.

%jaln 9.=. Mlyemuc sjhienþ vj T-L afrfatjrlstl$l.

Mlyemuc fa Ķh kjëlrhjyj if#nfmĶ$Ķ kjrlnlh j#la kjrlnlhl ( 2]T ) enup, kjrhfcyuh lëlc 2.0 T vj

slnlsyuh lëlc 2.4 T“tur. J#la kjrlnlhl sĶ`fanĶanf fzfnĶr. sL tjrs yôcmj meyhf fa ĶhĶmĶr vj

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

"9

sĶ`fanĶanf frtfr. Emf sĶ`fanĶ$Ķcmfal meyhf fa ĶhĶ  slnlaecmf ec cfce fhpjrnjr hjrtjijslcmjmlr.Kjrhfcyuhmf lsj jcjrol ie#nu$u mfgf aþëþa enmu$ucmfc slnlaecf kôrj mfgf dfznf fzĶcnĶa fa Ķhtf#ĶyĶ`ĶsĶ  hjv`uttur vj sĶzĶctĶ  fa ĶhĶ  ilrafë hlare fhpjr hjrtjijslcmjmlr. IMT mlyemuc tjrs

yôcmj mjvrlnhj kjrlnlhlmlr. Mlyemf tjrs yôcmj uykunfcfilnj`ja kjrlnlhlc tjpj mj$jrl (RYT),

IMT “mjc aþëþatþr vj slnlsyuh mlyettf T"222 , kjrhfcyuhmf lsj =22 T `lvfr ĶcmfmĶr. RYT a Ķsf

sþrjnl tjrs kjrlnlhmlr. Aftfneknfrmf fyr Ķ`f tjrs yôcmj uykunfcfilnj`ja M@ kjrlnlhlc hfaslhuh

mj$jrl ( YM@T ) mj vjrlnlr. Plnlsyuh mlyet @922   !  sĶ`fanĶ$f afmfr aunnfcĶnfilnlrajc, kjrhfcyuh

mlyet @"22   !  “yj afmfr aunnfcĶnfilnlr. Plnlsyuh mlyemuc kjrhfcyuhf kôrj mjzfvfctfoĶ  j#la kjrlnlhlclc mfgf yþasja enhfsĶmĶr. Kjrhfcyuh mlyet slnlsyuhmfc mfgf gĶznĶmĶr.

Mlyetnu Mjvrjnjrmj Krfdla \ôctjhl lnj ËfnĶ"hf CeatfsĶcĶc IunuchfsĶ

Jnjatrecla mjvrjnjrmj aunnfcĶnfc mlyetnfr Ķc ëfnĶ#hfsĶcĶ  mjvrj fcfnlzl yôctjhnjrl lnj lc`jnjhja hþhaþcmþr. Zykunfhfnfrmf mlyet mjvfhnĶ lnjtlh, mjvfhnĶ yfnĶtĶh vjyf zfhfc zfhfc lnjtlh vjyfnĶtĶh muruhucmf ëfnĶ#Ķr. M@ mjvrjnjrmj mlyemuc tja ilr ëfnĶ#hf ceatfsĶ yfcl fa Ķh vj kjrlnlhlhjv`uttur. F@ ilr mjvrjmj lsj mlyemuc ëfnĶ#hf ceatfsĶ mj$l#ajcmlr.

Mlyemuc ëfnĶ#hf ceatfsĶ  krfdla yôctjhnjrl aunnfcĶnfrfa mf iunucfilnlr. Mlyemuc ëfnĶ#hfceatfsĶcĶc krfdla lnj iunuchfsĶ  lëlc ôc`j mlyemuc gfckl iônkjmj enmu$ucf afrfr vjrlnlr. Mlyetlnjrl autupnfhf, tjrs autupnfhf vjyf mjvrlnhj iônkjnjrlcmjc ilrlcmj enfilnlr. Mfgf secrf T-Lafrfatjrlstl$l lnj yþa me$rusu ajsl#tlrlnlr vj ëfnĶ#hf ceatfsĶ iunucur.

 ! njrl Autupnfhf Muruhu

!njrl yôcmj autupnfchĶ# ilr mlyet vj ëfnĶ#hf ceatfsĶ %jaln 9.:“tj kôstjrlnhl#tlr.

%jaln 9.:. M@ ilr mjvrjmj mlyemuc lnjrl autupnfchfsĶ vj ëfnĶ#hf ceatfsĶ.

Pjrl mjvrjmj afycfa kjrlnlhl, mlyet kjrlnlhl lnj yþa kjrlnlhlclc tepnfhĶ enfrfa yfzĶnĶr.

M\MP lY vT   +8

\þa me$rusucuc ëlzlnhjsl lëlc yuafr Ķmfal mjcanjhmj 2lM  8   lëlc PM Tv   8   vj 2vM  8   lëlc

\PM Y /Tl   8  mj$jrnjrl jnmj jmlnlr. Iu lal mj$jr aunnfcĶnfrfa yþa me$rusu ëlzlnlr. \þa me$rusu lnj

mlyemuc T-L afrfatjrlstl$lclc ajsl#tl$l ceatf ëfnĶ#hf ceatfsĶmĶr. Iu ceatfcĶc fa Ķh vj kjrlnlhmj$jrnjrl ML vj MT enfrfa kôstjrlnhl#tlr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

"0

Zykunfhf " ?

T-L afrfatjrlstl$l f#f$Ķmf vjrlnjc ilr mlyet ℤ8 a :."Y \   enfc sjrl mlrjcë þzjrlcmjc lnjrl

autupnfcf`fa #jalnmj M@ kjrlnlh afycf$Ķcf if$nfchĶ#tĶr. Mlyemuc ëfnĶ#hf ceatfsĶcĶ iunucuz.

f) T:."TP  8  i) T0TP  8

Ëôzþh ?

f)  T:."TP  8 lëlc

MM l":22v:."  +8 (yþa me$rusucuc mjcanjhl)

Ml 8 2 ⇙  T:."vM  8

Mv 8 2 ⇙  Ml 8 ".: / ":22 8 2.22" F 8 " hF

Iu lal mj$jr aunnfcĶnfrfa yþa me$rusu ëlzlnlr. Mlyemuc T-L afrfatjrlstl$l lnj yþa me$rusucucajsl#hj ceatfsĶ  (f) mlyemuc ëfnĶ#hf ceatfsĶmĶr. Krfdlatj (f) ceatfsĶcmf mlyemuc kjrlnlhl

T::.2vM  8  vj fa ĶhĶ  hF40.2lM  8  enfrfa kôrþnhjatjmlr. Pecu`uc me$runu$ucu aectren jthja 

lëlc iunucfc fa Ķh vj kjrlnlh mjcanjhmj yjrlcj aecunur. -02.40x"2x":22::.2:."   +≊

 i)  T0TP  8 lëlc

MM l":22v0 +8 (yþa me$rusucuc mjcanjhl)

Ml 8 2 ⇙  T0vM  8

Mv 8 2 ⇙  Ml 8 0 / ".: a ℤ 8 9 hF

Mlyemuc ëfnĶ#hf ceatfsĶ (i ceatfsĶ) T4.2vM  8  vj fa ĶhĶ  hF4."lM  8  enfrfa kôrþnhjatjmlr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

"=

]jrs Autupnfhf Muruhu

]jrs yôcmj autupnfchĶ# ilr mlyet vj ëfnĶ#hf ceatfsĶ %jaln 9.4“mf kôstjrlnhl#tlr. Ëjvrj mjcanjhlf#f$Ķmfal klil yfzĶnĶr.

M\MP lY vT   +8∙

\þa me$rusucuc ëlzlnhjsl lëlc yuafr Ķmfal mjcanjhmj 2lM  8   lëlc PM Tv   ∙8   vj 2vM  8   lëlc

\PM Y /Tl   ∙8  mj$jrnjrl jnmj jmlnlr. Iu lal mj$jr aunnfcĶnfrfa yþa me$rusu ëlzlnlr.

%jaln 9.4. M@ ilr mjvrjmj mlyemuc tjrs autupnfchfsĶ vj ëfnĶ#hf ceatfsĶ.

Zykunfhf 9 ?

T-L afrfatjrlstl$l f#f$Ķmf vjrlnjc ilr mlyet ℤ8 H:Y \   enfc sjrl mlrjcë þzjrlcmjc tjrs

autupnfcf`fa #jalnmj M@ kjrlnlh afycf$Ķcf if$nfchĶ#tĶr. Mlyemuc ëfnĶ#hf ceatfsĶcĶ iunucuz.

f) T:2TP  8  i) T;:TP  8 `) T"9:TP  8

Ëôzþh ?

f) \þa me$rusu kjrlnlh jasjclcl ‐:2 T“tf, fa Ķh jasjclcl ‐:2 / : Hℤ 8 -"2ºF mj$jrlcmj ajsjr.ËfnĶ#hf ceatfsĶ  8Mv =: T vj 8Ml   " ºF“mlr.

 i) \þa me$rusu kjrlnlh jasjclcl ‐;: T“tf, fa Ķh jasjclcl ‐;: / : Hℤ 8 -":ºF“mj ajsjr.ËfnĶ#hf ceatfsĶ  8Mv ;2 T vj 8Ml 9 ºF“mlr. Iu fa Ķh tjrs meyhf fa ĶhĶmĶr vj kjrlnlhnj frthfz.

Mjvrlnhj kjrlnlhlcj afmfr fycĶ mj$jrmj fa Ķh kjëjr. Iu fa Ķh mj$jrl fzĶcnĶa fa Ķh tf#ĶyĶ`Ķnfr ĶcĶcsfyĶsĶcf if$nĶmĶr.

`) \þa me$rusu kjrlnlh jasjclcl ‐ "9: T“tf, fa Ķh jasjclcl ‐ "9: / : Hℤ 8 -9:ºF“mj ajsjr.

ËfnĶ#hf ceatfsĶ  8Mv   "22 T vj 8Ml : ºF“mlr. "22 T“uc þzjrlcmjal ilr tjrs kjrlnlh mlyemuc tjrsmjvrlnhjslcj vj f#Ķr Ķ  fa Ķh kjëhjslcj cjmjc enur. Mjvrlnhj iônkjslcmj mlyet fa ĶhĶ

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

":

sĶcĶrnfchfzsf f#Ķr Ķ  fa Ķh kjëjr vj mlyet iezunur. Iu mjvrjmj : Hℤ“nua sjrl mlrjcë f#Ķr Ķ  fa Ķhkjëhjslcl ôcnjr.

Pecuënfr

\þa me$rusu fcfnlzlcmjc f#f$Ķmfal secuënfr ëĶafr Ķnfilnlr.".  Afycfa kjrlnlhl mlyemu lnjrl autupnfmĶ$Ķcmf, afycfa kjrlnlhlclc frttĶr ĶnhfsĶ lnj mlyet kjrlnlhl

j#la kjrlnlhlcmjc secrf frthfyf mjvfh jthjz, gjhjc gjhjc sfilt afnĶr. Mlyettfc kjëjcfa Ķh sjrl mlrjcë tfrfd Ķcmfc ijnlrnjclr.

9.  Afycfa kjrlnlhl mlyemu tjrs autupnfmĶ$Ķcmf, mlyettfc ëea aþëþa ilr tjrs fa Ķh kjëjr. Afycfa kjrlnlhl IMT∙  kjrlnlhlcj unf#fcf afmfr sfilt afiun jmlnjilnlr.

0.  Mlyemf uykunfcfc tjrs kjrlnlh IMT “mjc iþyþa lsj, mlyet þzjrlcmj IMT kjrlnlhl mþ#jr.

Mlyet fa ĶhĶ sjrl mlrjcë tfrfd Ķcmfc ijnlrnjclr.

Mlyemuc Mlrjc`l

Mlyemuc mlrjc`l M@ vjyf F@ enfrfa tfcĶhnfcfilnlr. ËfnĶ#hf ceatfsĶcmfal mlrjcë M@ vjyf stftla 

mlrjcë enfrfa tfcĶhnfcĶr. !njrl yôcmj autupnfchĶ#  ilr mlyemuc stftla mlrjc`l fa Ķh yþasjnmlaëjfrtfr. Mlyet afrfatjrlstl$lclc ijnlrnl ilr iônkjslcmj, kjrlnlhmjal mj$l#hjclc fa Ķhmfal mj$l#hjyjerfcĶ F@ vjyf mlcfhla mlrjcë enfrfa tfcĶhnfcĶr. %jaln 9.;“mj mlrjcë tfcĶhnfr Ķ kôstjrlnhl#tlr.

%jaln 9.; Mlyemuc F@ vj M@ mlrjc`l.Zykunfhf 0 ?

F#f$Ķmfal vjrlnjc mlyet afrfatjrlstl$lcl aunnfcfrfa F, I vj @ ceatfnfr Ķcmfal mlyemuc mlrjcënjrlcl iunucuz. !mjfn mlyet lnj afr #Ķnf#tĶr ĶcĶz.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

"4

Ëôzþh ?

F ceatfsĶcmfal M@ mlrjcë1   ℤ888  9:2hF9

:.2

L

TY 

M@

M@M@

I ceatfsĶcmfal M@ mlrjcë1   ℤ888  =2hF92

7.2

L

TY 

M@

M@M@

!njrl autupnfhf iônkjslcmj mlyemuc mlrjc`l kjrlnlh vj fa Ķ

h frttĶ

aëf frtfr. !mjfn ilr mlyettflnjtlhmjal lë mlrjcë sĶd Ķr afiun jmlnlr.

@ ceatfsĶcmfal M@ mlrjcë1   ℤ8º

∙88 H

 :

F9

"2

L

TY 

M@

M@M@

]jrs autupnfhf iônkjslcmj mlrjcë enmuaëf yþasjatlr. !mjfn ilr mlyettf lsj iu iônkjmj mlrjc`lcsecsuz enmu$u vj glë fa Ķh kjëhjml$l afiun jmlnlr.

M@ ilr mjvrjmj ijnlrnl ilr ëfnĶ#hf ceatfsĶcmf mlyemuc mlrjc`l iunucfrfa, mlyet yjrlcj iu j#mj$jr mlrjcë aecunfilnlr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

";

Zykunfhf = ?

\fcmf vjrlnjc mlyet afrfatjrlstl$lclaunnfcfrfa F, I ceatfnfr Ķ frfsĶcmfmlyemuc F@ mlrjc`lcl iunucuz.

Ëôzþh ?

ℤ8

∙8

∙8

∙∙

 :Y "2.4"2.92

;0.27.2

ll

TTY 

FI

00IF

IFFI

FI ceatfnfr Ķ frfsĶcmfal mlrjcë F@mlrjcë vjyf ertfnfhf mlrjcë enfrfa fmnfcmĶr ĶnĶr.

Mlyet Mjvrjnjrlclc \fanf"Ķa J"mj#jr Fcfnlzl

Ilr mjvrjmj mlyemuc ëfnĶ#hf ceatfsĶ  krfdla hjtemu lnj vjyf mlyemuc j#mj$jrl aunnfcĶnfrfa  iunucfilnlr. Mlyemuc yfanf#Ķa j#mj$jrlcl aunnfchfa aenfy ilr ëôzþhmþr vj me$runu$u mfgfmþ#þatþr. ËfnĶ#hf ceatfsĶcĶc iunuchfsĶ krfdla hjtemu lnj enmuaëf kþëtþr.

Mlyemuc yfanf#Ķa j#mj$jr mjvrjslcmj, kjëlrhj yôcþcmj mlyemuc ijnlrnl ilr j#la kjrlnlhlcmjlnjtlhj kjëtl$l afiun jmlnlr. Iu j#la kjrlnlhl kjrhfcyuh lëlc 2.0 T vj slnlsyuh lëlc 2.; T“tur.

Mlyet j#la kjrlnlhlcmjc secrf ilr mlrjcë klil mfvrfcĶr. !njtlhmjal lë mlrjcë enmuaëf mþ#þatþr (ilrafë egh hjrtjijslcmj) vj ilr ëea uykunfhfmf lghfn jmlnlr. !mjfn mlyemuc j#mj$jrl lnjslnlsyuh vj kjrhfcyuh mlyetnfr Ķc j#mj$jr mjvrjnjrl %jaln 9.7“mj kôstjrlnhl#tlr.

%jaln 9.7 !mjfn, slnlsyuh vj kjrhfcyuh mlyetnfr Ķc j#mj$jr mjvrjnjrl.

]jrs autupnfhf iônkjslcmj mlyemuc j#mj$jr mlrjc`l secsuz afiun jmlnlr. Mlyemf tjrs yôcmjmjvrlnhj kjrlnlhlcmjc mfgf iþyþa ilr kjrlnlhl uykunfcĶrsf mlyet mjvrlnjrja fa Ķh kjëlrlr. Iufa ĶhĶc mj$jrl mlrjc`j if$nĶmĶr. Iu jscfmf mlyemuc þzjrlcmjal kjrlnlh mjvrlnhj kjrlnlhlmlr.Zykunfhfmf mlyemuc tjrs mjvrlnhj kjrlnlhl, þzjrlcj kjnjilnj`ja hfaslhuh kjrlnlhmjc iþyþa sjëlnlr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

"7

Zykunfhf : ?

\fcmf vjrlnjc mjvrjmj,

f)  !mjfn mlyet lëlc, i)  Plnlsyuh mlyet lëlc,

`) 

Kjrhfcyuh mlyet lëlc

mlyet fa ĶhĶcĶ vj mlrjcë kjrlnlhlcl iunucuz.

Ëôzþh ?

Mjvrjmj mlyet kjëlrhj yôcþcmj autupnfchĶ#tĶr vj lnjtlhmjmlr. Mlyet vj mlrjcë sjrl if$nĶenmu$ucmfc mlyet fa ĶhĶ  mlrjcë fa ĶhĶcf j#lttlr. Mlyet kjrlnlhl lnj mlrjcë kjrlnlhlclc tepnfhĶ

afycfa kjrlnlhlcl vjrlr.

f) 

!mjfn mlyemuc kjrlnlh mþ#þhþ sĶ

d Ķ

rmĶ

r vj lnjtlhmjal lë mlrjc`l sĶ

d Ķ

rmĶ

r. Mjvrjmjc kjëjc fa Ķ

h,

0"2."

"2L 8 8 "2 hF iunucur.

Mlrjcë kjrlnlhl,

Y .LTY   8 8 "2 hF."a ℤ 8 "2 T iunucur.

 i)  Plnlsyuh mlyemuc lnjtlh kjrlnlh mþ#þhþ 2.; T“tur. Mlyemuc lnjtlhmjal lë mlrjc`l ëea 

aþëþatþr vj mlrjcë yfcĶ

cmf sĶ

d Ķ

r afiun jmlnjilnlr. Mjvrjmjc kjëjc fa Ķ

h,

0"2."

;.2"2L

  ∙8 8 <.0 hF iunucur.

Mlrjcë kjrlnlhl,

Y .LTY   8 8 <.0 hF."a ℤ 8 <.0 T iunucur.

`)  Kjrhfcyuh mlyemuc lnjtlh kjrlnlh mþ#þhþ 2.0 T“tur. Mlyemuc lnjtlhmjal lë mlrjc`l ëea 

aþëþatþr vj mlrjcë yfcĶ

cmf sĶ

d Ķ

r afiun jmlnjilnlr. Mjvrjmjc kjëjc fa Ķ

h,

0"2."

0.2"2L

  ∙8 8 <.; hF iunucur.

Mlrjcë kjrlnlhl,

Y .LTY   8 8 <.; hF."a ℤ 8 <.; T iunucur.

 CE] ? Mjvrjmjal kjrlnlh ëea iþyþa lsj slnlsyuh vj kjrhfcyuh mlyemuc j#la kjrlnlhl mj lghfnjmlnjrja ëôzþh lmjfn mlyettfal klil iunucur.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

"<

Zykunfhf 4 ?

%jalnmjal mjvrjmj aunnfcĶnfc mlyemuc mjvrlnhjkjrlnlhl T;:TIM  8 “tur.

f)  T02TP 8  vj

 i)  T"22TP  8 lëlc,

mjvrjmjc kjëjc fa Ķh lnj mlyet vj mlrjcëkjrlnlhlcl iunucuz.

Ëôzþh ?

f)  Mlyet tjrs autupnfhf iônkjslcmj enmu$ucf kôrj mjvrjmjc kjëjc fa Ķh sĶd Ķr afiun jmlnlr. Iþtþckjrlnlh mlyet þzjrlcmj enu#ur. Mlrjcë þzjrlcmjal kjrlnlh sĶd ĶrmĶr.

 L ≊  28MT - 02 T

8Y T L.Y 8 2

 i)  Mlyemf kjnjc tjrs kjrlnlh mjvrlnhj kjrlnlhlcl f#tĶ$Ķcf kôrj sjrl mlrjcë fa ĶhĶ ijnlrnjr.

8MT - :2 T

hF 

9:.2a "22

;:"22

TTL IMP 8

∙8

∙8 8 9:2 ºF

8Y T L.Y 8 "22 a ℤ. 9:2 ºF 8 "22. 0"2 . 9:2. 4"2∙  8 9: T

Mlyettf gfr`fcfc kþë, 4M   "2.9:2.:2R   ∙8 8"9.: h[ iunucur.

\frĶh Mfnkf Me#runtu`u

Mlyet tja yôcmj fa Ķh kjëlrhj ôzjnnl$lcmjc menfyĶ  me$runtu`u mjvrjnjrlcmj yfykĶc enfrfa aunnfcĶnĶr. Me$runtu`u mjvrjnjrl, F@ kjrlnlhl M@ kjrlnlhj ëjvlrhja lëlc aunnfcĶnĶr. Me$runtu`ufcfnlzlcmj mlyetnfr lmjfn afiun jmlnj`jatlr. %jaln 9.<“mf yfr Ķh mfnkf me$runtu`u mjvrjsl

kôstjrlnhl#tlr. Mjvrjclc klrl#lcj ilr F@ kjrlnlh uykunfchĶ#tĶr. "2 tt   ∙   frfnĶ$Ķcmf yfcl pezltld fntjrcfcstf mlyet lnjtlhmjmlr. Iu frfnĶatf mlyemuc kjrlnlhl sĶd Ķr afiun jmlnlrsj, klrl#  kjrlnlhlctfhfhĶ  yþa þzjrlcmj kôrþnþr. 9" tt   ∙   frfnĶ$Ķcmf yfcl cjkftld fntjrcfcstf mlyet ajslhmjmlr.

Mjvrjmjc kjëjc fa Ķh vj yþa kjrlnlhl sĶd ĶrmĶr.

%jaln 9.< \fr Ķh mfnkf me$runtu`u, klrl# vj ëĶa Ķ# kjrlnlhnjrl.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

92

]fh Mfnkf Me#runtu`u

]fh mfnkf me$runthf, F@ kjrlnlhlc gjr lal fntjrcfcsĶcĶc me$runtunfrfa yþaj vjrlnhjsl lnj yfpĶnĶr.%jaln 9."2“mf ertf uënu trfcsderhftôr lnj yfpĶnfc tfh mfnkf me$runtu`u mjvrjsl kôstjrlnhl#tlr.]rfcsderhftôr klrl#lcj uykunfcfc #jijaj kjrlnlhlclc vj ëĶa Ķ#Ķcmfal kjrlnlhnjrlc ertf u`f kôrjmj$l#lhnjrl #jalnmj kôstjrlnhl#tlr. Mjvrjmj lal mlyet aunnfcĶnfrfa gjr lal fntjrcfcs me$runtunur vj

yþaj vjrlnlr. "2 tt   ∙   frfnĶ$Ķcmf "M mlyemucf kjnjc kjrlnlh ertf u`f kôrj pezltldtlr. "M mlyemulnjtlhj klrjr vj yþaj pezltld fntjrcfcs vjrlnlr. 9M mlyemu iu frfnĶatf cjkftld kjrlnlhj hfruz

afnmĶ$Ķcmfc ajslhmjmlr. 9" tt   ∙  frfnĶ$Ķcmf frfnĶ$Ķcmf, 9M mlyemu ertf u`f kôrj pezltld kjrlnlhj

hfruz afnĶr vj lnjtlhj klrjr. Iôynj`j cjkftld fntjrcfcs me$runtunfrfa yþaj vjrlnlr. Iu frfnĶatf þstsfrkĶ  kjrlnlhl ertf u`f kôrj cjkftldtlr vj "M mlyemu ajslhmjmlr. \þatjc kjëjc fa Ķh gjr lal

fntjrcfcstf mf pezltldtlr menfyĶsĶynf yþa kjrlnlhl pezltld enur.

%jaln 9."2. Ertf uënu trfcsderhftôr lnj yfpĶnfc tfh mfnkf me$runthf mjvrjsl.

Môcþ#tþrhj erfcĶ c?" , klrl# kjrlnlhl "T vj ëĶa Ķ# kjrlnlhl 9x 9T enfc ertf uënu trfcsderhftôrmj,

c9

TT h"

h9   8

enfrfa yfzĶnĶr. h lcmlsl hfaslhuh mj$jrmlr. \þa þzjrlcmjal kjrlnlhlcl ertfnfhf mj$jrl,

ς8 h9

M@T9

T

enfrfa gjsfpnfcĶr. Ilr mlyemuc hfruz afnmĶ$Ķ hfaslhuh kjrlnlh,

RLT 8 h9T9

#janlcmj gjsfpnfcĶr. RLT (Rjfa Lcvjrsj Tentfkj) mlyet ajslhmj lajc enu#ur. AunnfcĶnfc mlyemucRLT mj$jrl iu mj$jrlc þstþcmj enhfnĶmĶr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

9"

Zykunfhf ; ?

%jalnmj vjrlnjc tfh mfnkf me$runtu`umftrfcsderhftôr klrl#  kjrlnlhl 992 T, :2 Gz vjëĶa Ķ#  kjrlnlhl 9x": T“tur (Kjrlnlh mj$jrnjrljdjatld mj$jrnjrmlr).

f)  Klrl#  vj ëĶa Ķ#  kjrlnlhnjrlclc mj$l#lhnjrlclëlzlclz vj ëĶa Ķ#  kjrlnlhlclc ertfnfhfsĶcĶ

 iunucuz. i)  Ilr mlyemuc hlclhuh RLT mj$jrlcl

gjsfpnfyĶcĶz.

Ëôzþh ?

f) T992T"  8

T9992T h9   8 8 0"" TT":T9  8

T9":T h9   8

hs9229.2:2

"]   888

T:."09":.9T9

T h9M@   8

ς8

ς8

 i) Ilr mlyemf kjnjc hfaslhuh kjrlnlh,

RLT 8 h9T9 8 02 9 8 =9.= T

Mlyemuc RLT mj$jrl =9.= T“tfc iþyþa enhfnĶmĶr. RLT mj$jrl :2 T vjyf ;: T sjëlnjilnlr.

Aôprþ Me#runtu`u

Aôprþ me$runtu`u lnj jnmj jmlnjc M@ kjrlnlh, ertf uënu trfcsderhftôr lnj yfpĶnfc tfh mfnkfme$runtu`umfal M@ kjrlnlhlc lal aftĶmĶr. %jaln 9.""“mj aôprþ me$runtu`u mjvrjsl vj klrl#  ëĶa Ķ#

kjrlnlhnjrl kôstjrlnhl#tlr.

%jaln 9."". Aôprþ me$runtu`u mjvrjsl vj klrl# ëĶa Ķ# kjrlnlhnjrl.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

99

Rezltld fntjrcfcstf "M - 9M mlyetnfr Ķ lnjtlhmj, =0 MM   ∙  mlyetnfr Ķ ajslhmjmlr. Cjkftld fntjrcfcstf

=0 MM   ∙  mlyetnfr Ķ  lnjtlhmj, "M - 9M mlyetnfr Ķ ajslhmjmlr. \þatjc kjëjc fa Ķh vj yþa kjrlnlhl

gjr lal fntjrcfcstf mf pezltldtlr. Ilr mlyemuc hfruz afnmĶ$Ķ hfaslhuh kjrlnlh klrl# kjrlnlhlclctjpj mj$jrlmlr.

ALYRL@L MJTYJNJY 

Mlyet mjvrjnjrl klrl# l#frjtlclc ijnlrnl ilr iônkjslcl a Ķrphfa vj l#frjtl ôtjnjhja lëlc aunnfcĶnfilnlr.A ĶrpĶ`Ķnfr ôckjrlnlhnl, ôckjrlnlhslz, sjrl, pfrfnjn, pezltld vjyf cjkftld tþrmj enfilnlr. Ôckjrlnlhnlmjvrjnjrmj M@ kjrlnlh afycf$Ķ  aunnfcĶnĶr. A Ķrphf sjvlyjsl mjvrjmj aunnfcĶnfc M@ kjrlnlhafycf$ĶcĶc mj$jrl lnj fyfrnfcfilnlr. Mlyemuc yôcþ lnj sjrl vjyf pfrfnjn if$nĶ  enhfsĶcf kôrj,

 pezltld vjyf cjkftld a Ķrphf yfpĶnfilnlr. Afycf$Ķc yôcþcþc mj$l#tlrlnhjsl lnj a Ķrphf l#njhltfhfhjc mj$l#lr.

%jaln 9."9“mj ôckjrlnlhnl sjrl a ĶrpĶ`Ķ  vj klrl#  kjrlnlhl lnj ëĶa Ķ#  kjrlnlhl frfsĶcmfal lnl#al

kôstjrlnhl#tlr. Iu mjvrjmj ‐: T“tfc mfgf mþ#þa kjrlnlhnjr lëlc mlyet fëĶ

a mjvrj enur vj ëĶ

a Ķ

#kjrlnlhl sĶd Ķr enur. ‐: T“uc þzjrlcmj mlyet lnjtlhj klrjr. Iôynj`j klrl#  kjrlnlhl : T yuafr Ķôtjnjchl# enur vj fntĶ a ĶrpĶnĶr.

%jaln 9."9 Ôckjrlnlhnl sjrl ilr a ĶrpĶ`Ķ.

%jaln 9."0“mj ôckjrlnlhnl pfrfnjn a ĶrpĶ`Ķ kôstjrlnhl#tlr. Iu mjvrjmj : T“tfc mfgf aþëþa kjrlnlhnjr lëlc mlyet a Ķsf mjvrj enur vj ëĶa Ķ#  kjrlnlhl : T enur. Klrl#  kjrlnlhlclc : T“uc fntĶcmfal a ĶshĶ

a ĶrpĶnĶr.

%jaln 9."0 Ôckjrlnlhnl pfrfnjn a ĶrpĶ`Ķ.

%jaln 9."=“tj kôstjrlnjc ôckjrlnlhnl pfrfnjn a ĶrpĶ`Ķmf lal mlyet aunnfcĶnhĶ#tĶr. Rezltld fntjrcfcstf vj: T“uc þstþcmj, pezltld yôcmjal mlyet lnjtlhj klrjr vj ëĶa Ķ# kjrlnlhl : T enur. Cjkftld fntjrcfcstfvj ‐ "2 T“uc fntĶcmf, cjkftld yôcmjal mlyet lnjtlhj klrjr vj ëĶa Ķ#  kjrlnlhl -"2 T enur. Iôynj`jklrl# kjrlnlhl gjh fnttfc gjh mj þsttjc a ĶrpĶnhĶ#  enur. Kjrlnlh mj$jrnjrl mj$l#tlrlnjrja a Ķrphfsjvlyjnjrl mj$l#tlrlnjilnlr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

90

%jaln 9."= Ôckjrlnlhnl lal mlyetnu pfrfnjn a ĶrpĶ`Ķ.

AJCJ]NJ\!@! MJTYJNJY 

Ajcjtnjyl`l mjvrjnjr f` ilr l#frjtj m` ilr sjvlyj janjhja lëlc aunnfcĶnĶr. Ajcjtnjyl`lnjr tjnjvlzyecfnĶ`Ķnfr Ķcmf m` sjvlyj jnmj jthja lëlc aunnfcĶnĶr. FnĶ`Ķyf kjnjc vlmje l#frjtl kjcjnnlanj afpfsltld 

 ilr fhpnldlaftôr lnj yþasjntlnlr. \þasjnthj l#njhl m` ilnj#jclc yfcl slyfg, ijyfz vj ie#nua sjvlyjnjrlclc afyienhfsĶcf cjmjc enur. Tlmje l#frjtl rjslh tþpþcj uykunfchfmfc ôc`j iu

rjdjrfcs sjvlyjnjr ajcjtnjyl`l yjclmjc jnmj jmlnlr.

%jaln 9.":“tj pezltld m` ajcjtnjyl`l kôstjrlnhl#tlr. F ceatfsĶcf afmfr aecmfcsftôr #fro enur. Mfgfsecrf aecmfcsftôr kjrlnlhlclc sfilt afnmĶ$Ķ  afiun jmlnlr. Mjvrjmj aecmfcsftôrþc mjofroĶ  Y þzjrlcmjc enur. Y@ zfhfc sfiltl uykunfcfc klrl#  slcyfnlclc pjryemucmfc ëea iþyþatþr. ËĶa Ķ#kjrlnlhl sfilt enfc aecmfcsftôr kjrlnlhl lnj klrl# kjrlnlhlclc tepnfhĶmĶr.

%jaln 9.": Rezltld ilr m` ajcjtnjyl`l.

Ajcjtnjyl`l mjvrjnjr klrl#  l#frjtlcl cjkftld m` sjvlyjyj mj afymĶrfilnlr. Ajcjtnjyl`l mjvrj lëlcmjm` ilr kjrlnlh afycf$Ķ aunnfcĶnfrfa dfranĶ m` sjvlyjnjr mj jnmj jmlnjilnlr. %jaln 9."4“mf cjkftld ilr m` ajcjtnjyl`l kôstjrlnhl#tlr.

%jaln 9."4 Cjkftld ilr m` ajcjtnjyl`l.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

9=

Zykunfhf 7 ?

F#f$Ķmf vjrlnjc ajcjtnjyl`l mjvrjmj klrl# kjrlnlhl lëlc ëĶa Ķ# kjrlnlhlcl ëlzlclz.

Ëôzþh ?

Mjvrj klrl#lcj uykunfcfc l#frjtlc drjafcsĶ " aGz enmu$ucf kôrj mfrij pjryemu,

] 8 " / d 8 " hs

enfrfa iunucur. Y@ zfhfc sfiltl,

Y.@ 8 "22a."º 8 040 "2."22"2."."2."22   ∙∙ 8 8"22 hs.

Y@ zfhfc sfiltl mfrij pjryemucmfc ëea iþyþa enmu$u lëlc aecmfcsftôr kjrlnlhlclc Y þzjrlcmjcmj#fro enhfmĶ$Ķ afiun jmlnlr.

Fcfnlzj mlyemuc lnjtlhmj enmu$u frfnĶatfc if#nfyfnĶh.

9" tt   ∙  frfnĶ$Ķcmf mlyet lnjtlhmjmlr. Mjvrjclc klrl#lcmj ‐ 92 T kjnhjatjmlr. \fcl fnt u`ucf + 92 T uykunfchĶ#tĶr.Mlyet iu frfnĶatf Fcet-Aftet kjrlnlhl pezltld enmu$ucmfclnjtlhj klrjr vj ëĶa Ķ# kjrlnlhl : T enur. Aecmfcsftôr lsj#jalnmj kôstjrlnml$l klil + 9: T“f #fro enur. 09 tt   ∙

frfnĶ$Ķcmf mlyet ajslhj klrjr. ËĶa Ķ# kjrlnlhl klrl# kjrlnlhllnj aecmfcsftôr kjrlnlhlclc tepnfhĶmĶr. 8ev   "2 T + 9: T

8 0: T. ËĶa Ķ# kjrlnlhlclc mj$l#lhl yfcmf vjrlnhl#tlr.

_jcjr Mlyet

 Cerhfn mlyetnfrmf tjrs mjvrlnhj enfyĶ  lstjchjz. _jcjr mlyetnfr lsj ijnlrnl ilr kþ`j afmfr tjrsmjvrlnhj iônkjslcmj aunnfcĶnfilnlr. ]jrs autupnfchĶ# ilr mlyemuc mjvrlnhjsl lal #jalnmj enur.

"-  ËĶ$  mjvrlnhj? ]jrs autupnfhf lnj gĶznfcfc fzĶcnĶa tf#ĶyĶ`Ķnfr Ķc aevfnjct if$mfal vfnfcsjnjatrecnfr Ķ aepfrhfsĶ lnj enu#ur. ËĶ$ mjvrlnhj mlyemf : venttfc mfgf iþyþa ilr tjrs kjrlnlhuykunfcmĶ$Ķcmf enu#ur.

9-  _jcjr mjvrlnhj ? Ie#nua iônkjsl mfr enhfsĶ muruhucmf hjymfcf kjnjc yþasja jnjatrla fnfcĶ

cjmjclynj enu#ur. Iu jnjatrla fnfcĶ aevfnjct if$mfal vfnfcs jnjatrecnfr Ķ aepfrfrfa mlyettfctjrs yôcmj yþasja fa Ķh kjëhjslcj cjmjc enur. _jcjr mjvrlnhj : venttfc aþëþa kjrlnlhnjrmj

enu#ur. Afta Ķ  erfcĶcĶc frttĶr ĶnhfsĶ  ie#nua iônkjslcl mfrfntĶr. Ie#nua iônkjslcmj enu#fcjnjatrla fnfcĶ (uzfanĶa lnj tjrs erfctĶnĶ) lsj frtfr. MenfyĶsĶynf afta Ķ erfcĶcĶc frttĶr ĶnhfsĶ zjcjr mlyemuc mjvrlnhj kjrlnlhlcl fzfntĶr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

9:

_jcjr mlyemuc afrfatjrlstl$l, sjhienþ vj j#mj$jr mjvrjnjrl %jaln 9.";“mj kôstjrlnhl#tlr. _jcjr mlyet lnjrl yôcmj autupnfcĶrsf cerhfn ilr mlyet klil mfvrfcĶr. Zykunfhfnfrmf zjcjr mlyet tjrsmjvrlnhj iônkjslcmj aunnfcĶnĶr. Afrfatjrlstla j$rlmj lal ôcjhnl ceatf kôstjrlnhl#tlr. F ceatfsĶzjcjr mlyemucuc tjrs mjvrlnhj ceatfsĶmĶr. _jcjr mlyemuc F ceatfsĶcmf ëfnĶ#filnhjsl lëlc,mlyettfc hlclhuh ilr fa Ķh kjëhjsl kjrjalr. Iu muruhmf zjcjr kjrlnlhl hlclhuhmur. IceatfsĶcmf mlyettfc hfaslhuh fa Ķh kjëjr vj zjcjr kjrlnlhl hfaslhuhmur. I ceatfsĶcmfal

fa Ķh mj$jrl aftfnekmf vjrlnjc _HL mj$jrlcl f#hfhfnĶmĶr. _jcjr mlyetnfr ".7 T lnj 922 TfrfsĶcmfal kjrlnlh mj$jrnjrlcmj vj =/" [ lnj :2 [ frfsĶcmfal kþë mj$jrnjrlcmj þrjtlnhjatjmlr.

_jcjr mlyemuc lmjfn j#mj$jrl ilr kjrlnlh afycf$Ķ afiun jmlnlr. \fanf#Ķa j#mj$jrl lsj ilr mlrjcë vjafycfa kjrlnlhlclc tepnfhĶ enfrfa vjrlnlr.

zzzz l.r Tv +8

_jcjr mlyemuc lë mlrjc`lclc tfcĶhĶ afrfatjrlstla j$rl þzjrlcmj kôstjrlnhl#tlr. !ë mlrjcë cj afmfr aþëþa enursf, zjcjr uënfr Ķcmfal kjrlnlhlc fa Ķh lnj mj$l#hjsl e afmfr fz enur. _jcjr mlyet,

rjkþnfsyec vj rjdjrfcs kjrlnlh sf$nfhfa fhf`Ķ

ynf yfykĶ

c enfrfa aunnfcĶ

nhfatfmĶ

r.

%jaln 9.";. _jcjr mlyemuc afrfatjrlstl$l, sjhienþ vj j#mj$jr mjvrjnjrl.

_jcjr mlyemuc mjvrlnhj kjrlnlhl sĶ`fanĶanf mj$l#lr. Aftfneknfrmf kjrlnlhlc @!   if#Ķcf yþzmjenfrfa mj$l#hjslcl kôstjrjc ilr sĶ`fanĶa aftsfyĶsĶ  ( ]A ) vjrlnlr. Ôrcj$lc ": T“nua ilr zjcjr 

mlyettf ]A 8 2.9 % / @

!

  lsj, " @

!

“nla frtĶ

#  zjcjr kjrlnlhlclc 2.20 T frthfsĶ

cf cjmjc enur.PĶ`fanĶa aftsfyĶsĶ zjcjr mjvrlnhj iônkjslcmj ëfnĶ#fc mlyetnfrmf cjkftld, ëĶ$ mjvrlnhj iônkjslcmjëfnĶ#fc mlyetnfrmf pezltldtlr. _jcjr kjrlnlhl frttĶaëf sĶ`fanĶa aftsfyĶsĶ mf frtfr.

Zykunfhf ? <

Ilz zjcjr mlyemuc fa ĶhĶcmf 9 hF“nla ilr mj$l#hj enmu$ucmf, uënfr Ķcmfal kjrlnlh :2 hTmj$l#hjatjmlr. _jcjr mlrjc`lcl gjsfpnfyĶcĶz.

Ëôzþh ?

ℤ88∄

∄8  

hF9

hT9:

:2

L

Tr 

z

z_

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

94

Zykunfhf ? "2

Kjrlnlhl "2 T vj lë mlrjc`l : ℤ  enfc zjcjr mlyettfc 92 hF kjëhjsl muruhucmf uënfr Ķcmfalkjrlnlhlc cj enf`f$ĶcĶ iunucuz.

Ëôzþh?

Mlrjcë uënfr Ķ

cmfal kjrlnlh,T".2"2.92.:l.r  0

zz  88   ∙

 iunucur. _jcjr uënfr Ķcmfal kjrlnlh,

T"."2".2"2l.r Tv zzzz   8+8+8

enur. 92 hF fa Ķh kjëtl$lcmj zjcjr mlyetkjrlnlhl % "2 frtfr.

Zykunfhf ? ""

%jalnmj vjrlnjc mjvrjmj klrl#  kjrlnlhlclc gfcklfrfnĶ$Ķcmf rjkþnfsyec sf$nfcf`f$ĶcĶ gjsfpnfyĶcĶz.

hF"L hlc_  8 , hF":L hfx_  8

T".:T_  8 , ℤ8  "2r _

Ëôzþh?

hF"L hlc_   8 lëlc1

hlc___e L.r TT   +8   8:." + "2. "hF 8 :."" Tehlc_hlcl TL.Y T   +8 8 422. "hF + :."" 8 :.;" T

hF":L hfx_   8 lëlc1

hfx___e L.r TT   +8   8:." + "2. ":hF 8 :.9: T

ehfx_hfxl TL.Y T   +8 8 422. ":hF + :.9: 8 "=.9: T

Klrl#j mj$l#ajc ilr klrl# kjrlnlhl uykunfchfsĶ  lnj ëĶa Ķ# kjrlnlhlclc mj$l#hjhjsl lstjchjatjmlr.ËĶa Ķ#  kjrlnlhlclc rjkþnj jmlnjilnhjsl lëlc klrl#j :.;"  T lnj "=.9: T frfnĶ$Ķcmf ilr kjrlnlhuykunfchfsĶ kjrjalr. Iu muruhmf ëĶa Ķ# kjrlnlhl :."" T lnj :.9: T frfsĶcmf ilr mj$jr fnĶr.

Zykunfhf ? "9

%jalnmj vjrlnjc mjvrjmj hF0L hlc_  8 ,

hF<2L_H  8 , T"9T_  8 , ℤ8"2r _ enfc ilr 

zjcjr mlyet aunnfcĶnhĶ#tĶr.f)  Yjkþnfsyec sf$nfcfilnhjsl lëlc \Y 

mlrjc`lclc hlclhuh mj$jrlcl gjsfpnfyĶcĶz( 2r _  8 fnĶcĶz).

 i) 

ËĶ

a Ķ

# kjrlnlhlclc fa Ķ

hf if$nĶ

 mj$l#lhlclëlzlclz. ËĶa Ķ# kjrlnlhlcmjal if$Ķnrjkþnfsyecu gjsfpnfyĶcĶz.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

9;

Ëôzþh?

f) Mjvrjmj yþa if$nĶ  mj$ln lajc, Y mlrjc`lcmjc kjëjc fa Ķh hfaslhuh enur. Iu fa Ķh fycĶ

zfhfcmf zjcjrmjc kjëjr.

hF9=:22

"99=

TT

LL_l

hfx_hfxY    8

8

88 _Hhfx_ LL   >

_jcjrmjc kjëjc hfaslhuh fa Ķh _HL mj$jrlcl kjëhjhjnlmlr. Mjvrjmj _Hhfx_ LL   >   #frtĶ

sf$nfcmĶ$Ķcmfc Y mlrjc`lclc mj$jrl uykucmur. Iu mjvrjmj Y mlrjc`l ilrfz mfgf aþëþa sjëlnjilnlr.

\þa fa ĶhĶ  hfaslhuh lajc zjcjrmjc kjëjc fa Ķh hlclhuhmur. _jcjr mlyemuc rjkþnfsyecyfphfsĶ  lëlc hF0L hlc_  8   mj$jrlcmj ilr fa Ķh zjcjrmjc kjëhjnlmlr. \þa fa ĶhĶcmfc kjëjc

hfaslhuh fa Ķh vj hlclhuh yþa mlrjc`l f#f$Ķmfal klil gjsfpnfcĶr.

hlc_hfxY hfx\ LLL   ∙8

hF9"hF0hF9=L hfx\  8∙8

ℤ888  :;2hF9"

"9

L

TY 

hfx\

\hlc\   ℤ3  :;2Y \   enhfnĶmĶr.

\þa kjrlnlhlclc mj$l#lhl fa Ķhf kôrj f#f$Ķmfal klil ëlzlnjilnlr. \þa fa ĶhĶ  9"  hF enfcf afmfr zjcjr mlyet rjkþnfsyec sf$nfr. Iu frfnĶatf me$rucuc j$lhl _r mlrjc`lcl vjrlr. Iu mj$jrmjc secrf

zjcjr mlyet ëea fz fa Ķh kjëlrlr vj yþasja mlrjcë kôstjrlr. ËĶa Ķ# a Ķsf mjvrj jmlnlrsj kjrlnlh sĶd Ķr enur, fa ĶhĶ sfmj`j Y mlrjc`l sĶcĶrnfr. A Ķsf mjvrj fa ĶhĶ 9=T/:22 8 =7 hF“mlr.

 i) Ie#tf ëfnĶ#hfmf yþa fa ĶhĶ  sĶd ĶrmĶr vj zjcjrmjc hfaslhuh fa Ķh kjëjr. Iu muruhmf zjcjr kjrlnlhl (yþa kjrlnlhl) hfaslhuh enur.

0hfx___hfx_hfx\   "2.9"."2"9L.r TTT   ∙+8+88 8 "9.9" T

\þa fa ĶhĶ hfaslhuh enmu$ucmf zjcjrmjc kjëjc fa Ķh hlclhuhmur. Iu muruhmf zjcjr kjrlnlhl(yþa kjrlnlhl) hlclhuh enur.

0hlc___hlc_hlc\   "2.0."2"9L.r TTT   ∙+8+88 8 "9.20 T

If$Ķn \þa Yjkþnfsyecu 8   8∙

"22x"9

20."99"."9% ".:

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

97

 _jcjrnl F@ rjkþnftôr (F@ P ĶcĶrnfyĶ`Ķ )

_jcjr mlyet, jnjatrecla jnjhfc vj jctjkrj mjvrjnjrlc klrl#njrlcl f#Ķr Ķ kjrlnlhnjrmjc aeruhfa lëlcaunnfcĶnfilnlr. %jalnmj 9."7“mj kjrlnlhl tja yôcmj a Ķrphf mjvrjsl kôstjrlnhl#tlr. Mjvrjmj klrl#kjrlnlhlclc pezltld iônkjslcmj zjcjr kjrlnlhlclc þstþcþ a Ķrpfr. Cjkftld fntjrcfcstf cerhfn mlyetklil mfvrfcĶr vj lnjtlhj klrjr.

%jaln 9."7. ]ja yôcnþ a ĶrpĶ`Ķ

Kjrlnlhl lal yôcmj a Ķ

rphfa lëlc %jalnmj 9."<“mf vjrlnjc mjvrj aunnfcĶ

nfilnlr. Rezltld fntjrcfcstf_" mlyemu cerhfn, _9 mlyemu lsj zjcjr mlyet klil mfvrfcĶr. Cjkftld fntjrcfcstf lsj _9 cerhfnmlyet, _"  zjcjr mlyet klil mfvrfcĶr. _jcjr mlyetnfr Ķc kjrlnlhnjrl uykuc sjëlnjrja klrl#  kjrlnlhllstjclnjc sjvlyjmj a ĶrpĶnfilnlr.

%jaln 9."<. !al yôcnþ a ĶrpĶ`Ķ

Tfrfatôr Mlyetnfr

]jrs kjrlnlh uykunfcfc mlyet ilr afpfsltj klil mfvrfcĶr. Cerhfn mlyetnfrmf tjrs kjrlnlhuykunfcmĶ$Ķcmf ilr ie#nua iônkjsl enu#ur. Iu ie#nua iônkjsl uykunfcfc tjrs kjrlnlh lnj frtfr.Ie#nua iônkjsl fa Ķh kjëlrhjml$lcmjc yfnĶtafc afiun jmlnlr. R vj C iônkjnjrl lsj lnjtajc

enmu$ucmfc afpfsltjclc pnfafnfr Ķ

  klil mfvrfcĶ

r. Cerhfn mlyetnfr Ķ

c afpfsltjsl uykunfcfc tjrskjrlnlhj if$nĶ  enfrfa fz hlatfrmf mj$l#lr. Afta Ķnfhf hlatfr Ķ  oecaslyec `lvfr Ķcmf frttĶr Ķnfrfa afpfsltjclc mj$l#hj erfcĶ yþasjntlnjilnlr. Iu #jalnmj yfpĶnfc ôzjn mlyetnfrf vfrfatôr mlyet mjclr.Tfrfatôr mlyetnfr Ķc afpfsltjsl kjrlnlhnj mj$l#tlrjilnlr. Mlyemuc afpfsltjsl,

m

F@   κ8

enfrfa gjsfpnfcĶr. Iurfmf κ   kjëlrkjcnla, F oecaslyecuc fnfcĶ  vj m oecaslyecuc kjcl#nl$lmlr.Mlyemf tjrs kjrlnlh uykunfcmĶ$Ķcmf enu#fc afpfsltj vj vfrfatôr mlyemuc j#mj$jrl %jaln 9.92“mjkôstjrlnhl#tlr. ]jrs kjrlnlh frttĶaëf ie#nua iônkjsl frtfr vj afpfsltj fzfnĶr. Afpfsltjclc kjrlnlhj

 if$nĶ  mj$l#lhl %jaln 9.9"“ mj kôstjrlnhl#tlr. Ilr petfcslyehjtrj lnj mlyemf kjnjc tjrs kjrlnlhmj$l#tlrlnjrja vfrfatôr mlyemuc afpfsltjsl aectren jmlnjilnlr. Tfrfatôr mlyet, rfmyenfrmf drjafcsĶcfyfrnfchfsĶcmf vj tjnjvlzyecnfr Ķc jnjatrecla tucjr mjvrjnjrlcmj yfykĶc enfrfa aunnfcĶnĶr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

9<

%jaln 9.92. Mlyemf tjrs kjrlnlh uykunfcmĶ$Ķcmf enu#fc afpfsltj vj vfrfatôr mlyemuc j#mj$jrl.

%jaln 9.9" . Ilr vfrfatôr mlyettf afpfsltjclc kjrlnlhj if$nĶ mj$l#lhl.

P`gettay Mlyetnfr

P`gettay mlyetnfr ëea yþasja drjafcsnfrmf vj gĶznĶ  fcfgtfrnfhf uykunfhfnfr Ķcmf aunnfcĶnĶr.!njtlh kjrlnlh mþ#þhþcþc fznĶ$Ķ vj yþasja fcfgtfrnfhf gĶzĶcmfc menfyĶ ôzjnnlanj fcfgtfrnfhfnĶkþë afycfanfr Ķcmf vjrlh fëĶsĶcmfc tjr`lg jmlnlr. GĶznfr ĶcĶc yþasjanl$l sjijilynj jctjkrj (L@)mjvrjnjrmj aunnfcĶnĶr. P`gettay mlyettf R tlpl hfnzjhj yjrlcj fntĶc, kþhþ#, pnftlc klil ilr hjtfnaunnfcĶnĶr. Hjtfnmj lnjtlh ifcmĶcmf ëea sfyĶmf jnjatrec hjv`uttur. R-C mlyemucmf hjv`ut enfc

 ie#nua iônkjsl P`gettay mlyettf yeatur vj mþ#þa ilr kjrlnlhnj lnjtlhj klrjr. Rezltld autupnfhf lnj

 C iônkjslcmjal yþasja jcjrolnl jnjatrecnfr hjtfnj (R iônkjslcj) kjëjrja iu iônkjmjaljnjatrecnfr Ķc jcjrolnjrlcl frttĶr Ķr. P`gettay mlyet, R-C mlyemf kôrj ëea gĶznĶmĶr. Ëþcaþ iu mlyetsfmj`j ëe$ucnua fa Ķh tf#ĶyĶ`Ķnfr Ķ  lnj ëfnĶ#Ķr. Pjrijst jnjatrecnfr Ķc gfrjajtl mjnlanjrlc gfrjajtlcjkôrj ëea gĶznĶmĶr. Pgettay mlyemuc yfpĶsĶ vj sjhienþ %jaln 9.99“mj kôstjrlnhl#tlr.

%jaln 9.99. Pgettay mlyemuc yfpĶsĶ vj sjhienþ.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

02

]þcjn Mlyet

]þcjn mlyet, R vj C iônkjnjrlcmj oecaslyec `lvfr Ķcmfal afta Ķnfchf hlatfr Ķ frttĶr Ķnfrfa yfpĶnfc ilr mlyettur. Ilnlcml$l klil afta Ķnfhf hlatfr ĶcĶc frttĶr ĶnhfsĶ  ie#nua iônkjslcl mfrfntĶr vj zjcjr kjrlnlhlcl fzfntĶr. ]þcjn mlyettf ie#nua iônkjslclc kjcl#nl$l cerhfn mlyemuc yþzmj ilrl afmfr aþëþatþr. Iu cjmjcnj ëea aþëþa ilr lnjrl kjrlnlh mlyettfc fa Ķh kjëhjslcj cjmjc enur. ]þcjn

mlyemuc yfpĶsĶ, afrfatjrlstl$l vj sjhienþ %jaln 9.90“tj vjrlnhl#tlr.

%jaln 9.90. ]þcjn mlyemuc yfpĶsĶ, afrfatjrlstl$l vj sjhienþ.

%jalnmj kôstjrlnml$l klil tþcjn mlyemuc afrfatjrlstl$l ijnlrnl ilr iônkjmjc secrf cerhfn mlyet lnjfycĶmĶr. ]þcjn mlyemuc ëfnĶ#hfsĶ  #u #jalnmjmlr. F ceatfsĶcmf ilr kjrlnlh uykunfchfhĶ#tĶr vjmlyettfc fa Ķh kjëhjz. F ceatfsĶcĶc fntĶcmf ëea aþëþa tjrs ilr kjrlnlh uykunfcmĶ$Ķcmf mlyettfckjëjc fa Ķh tjrs kjrlnlhnj gĶznĶ ilr #jalnmj frtfr. Mlyemf aþëþa ilr pezltld kjrlnlh uykunfcmĶ$Ķcmf

fa Ķh kjëjr vj pezltld kjrlnlhlc frttĶr ĶnhfsĶ lnj fa Ķh frtfr. I ceatfsĶcmfc @ ceatfsĶcf afmfr fa ĶhfzfnĶr. I lnj @ frfsĶcmf mlyemuc mlcfhla mlrjc`l cjkftldtlr. Kjrlnlhmjal frtĶ#  fa Ķhmf fzfnhfyfcjmjc enur. ]þcjn mlyet iu ôzjnnl$l cjmjclynj eslnftôr mjvrjnjrlcmj aunnfcĶnĶr.

]þcjn mlyettf ie#nua iônkjslcl kjëjc jnjatrecnfr Ķc gĶzĶ, cerhfn mlyettf mldþzyec lnj yfyĶnfcjnjatrecnfrf kôrj ëea yþasjatlr. ]þcjn mlyettf jnjatrecnfr R-C oecaslyecu `lvfr Ķcmf Ķ#Ķa gĶzĶcf

yfa Ķc ilr gĶznf gfrjajt jmjr. ]þcjn mlyet iu cjmjcnj ëea yþasja drjafcsnfrmf ( ;"2 HGz“j afmfr)aunnfcĶnfilnlr.

L"Ķa \fyfc Mlyetnfr (NJM)R-C mlyet me$ru yôcmj autupnfcmĶ$Ķcmf, C-tlpl hfnzjhjmjal sjrijst jnjatrecnfr mldþzyec lnj R

 iônkjslcj kjëjr. Jnjatrecnfr R iônkjslcmj mjnlanjrnj ilrnj#jrja vfnfcs jnjatrec gfnlcj kjnlr. C iônkjslcmj lnjtlh ifcmĶcmf iunucfc jnjatrecnfr Ķc, R iônkjslcmj vfnfcs ifcmĶcf kjëhjnjrl jcjrolafyijthjnjrlcj cjmjc enur. Iu jcjrol afyiĶ  slnlsyuh vj kjrhfcyuh mlyetnfrmf ĶsĶyf môcþ#þr.Kfnnlyuh frsjclm vj kfnnlyuh desdft klil hfnzjhjnjrmjc yfpĶnfc mlyetnfrmf iu jcjrolclc ilr hlatfr Ķ  Ķ#Ķa jcjrolslcj (detecnfrf) môcþ#þr. \fyĶnfc Ķ#Ķ$Ķc jcjrolsl vj drjafcsĶ  f#f$Ķmfal klilgjsfpnfcĶr.

J 8 g x d 

g 8 =."0;x   ":"2∙  ? Rnfc`a sfiltl (Jnjatrecvent / Gjrtz)

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

0"

J iurfmf jnjatrecuc afyijttl$l jcjrolmlr. Jcjrol cj afmfr iþyþa enursf yfyĶnfc Ķ#Ķ$Ķc drjafcsĶ eafmfr yþasjatlr. Jnjatrecnfr jnjatrla jcjrolslcl tf#ĶmĶ$Ķ  klil, detecnfr Ķ#Ķa jcjrolslcl tf#Ķyfc,f$ĶrnĶ$Ķ  vj yþaþ enhfyfc aþëþa pfrëf`ĶanfrmĶr. L#Ķa jhjc `lslh jcjrol fnhĶ# enur vj ĶsĶcĶr. Ilr hfmmj cj afmfr ëea ĶsĶcĶrsf yfymĶ$Ķ  Ķ#Ķanfr Ķc mfnkf ieynfr Ķ  e afmfr a Ķsf enur. L#Ķ$Ķc gĶzĶ  lnj

jnjatrehfcyjtla mfnkfcĶc gĶzĶ fycĶ enup ` 8 0 x 7"2 hjtrj / sfclyj“mlr. L#Ķ$Ķc drjafcsĶ  lnj mfnkf ieyu frfsĶcmfal lnl#al f#f$Ķmf vjrlnhl#tlr.

`8α

Mfnkf ieyu, Ķ#Ķa vjyf jnjatrehfcyjtla mfnkfcĶc ilr pjryemucmf afë hjtrj yen fnmĶ$ĶcĶ kôstjrlr.\þasja drjafcsnfrmf uzucnua ilrlhl enfrfa hjtrj yjrlcj, hlnlhjtrjclc echlnyecmf ilrl enfcfckstrec aunnfcĶnĶr.

"2-"2F8!

" hjtrj

DfranĶ rjcatjal Ķ#Ķa jcjrolnjrlclc drjafcs vj mfnkf ieynfr Ķ %jaln 9.9=“tj kôstjrlnhl#tlr. !csfc kôzþ0722-;222 fckstrec mfnkf ieyucmfal Ķ#Ķanfr Ķ  kôrjilnlr. Kôzþc jc lyl fnkĶnfmĶ$Ķ  rjcanjr sfr Ķ  lnjsfr Ķ-yj#ln rjca iônkjnjrlmlr. Kþcj# Ķ#Ķ$Ķ iþtþc Ķ#Ķanfr Ķ j#lt lëjrml$l lëlc ijyfz Ķ#Ķa enfrfa kôrþcþr.

%jaln 9.9=. L#Ķa jcjrolslclc drjafcs vj mfnkf ieyu sprjatruhu.

Zykunfhf ? "0

Mfnkf ieyu ;222!

F enfc a ĶrhĶzĶ Ķ#Ķa detecnfr ĶcĶc jcjrolslcl gjsfpnfyĶcĶz.

Ëôzþh ?

L#Ķ$Ķc drjafcsĶ,

α8

`d 8   ":

"2

7"2x=0.2

"2x;222

"2x0   ∙∙  8  Gz

Detecnfr Ķc jcjrolsl,

J 8 g x d 8 =."0;x   ":"2∙ x 2.=0x   ":"2∙ 8 ".;7 jT.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

09

Njmnjrmj kfnyuh frsjclt (KfFs), kfnyuh desdft (KfR), kfnyuh frsjclt desdft (KfFsR) klilhfmmjnjr aunnfcĶnĶr. Iu hfnzjhjnjrlc afr Ķ#tĶr ĶnhfsĶ  vj afta Ķnfhf erfcĶcĶc fyfrnfchfsĶ  lnjNJM“njrlc lstjclnjc mfnkf ieyucmf Ķ#Ķa vjrhjsl sf$nfcĶr. NJM“njr a ĶrhĶzĶ, turuc`u, sfr Ķ vj ijyfzrjcanjrmj þrjtlnhjatjmlr.

 NJM Afrfatjrlstlanjrl 

NJM“lc T-L afrfatjrlstl$l, sjhienþ vj yfymĶ$Ķ  Ķ#Ķ$Ķc kþ`þ %jaln 9.9:“tj vjrlnhl#tlr. NJM“lclnjtlh kjrlnlh mþ#þhþ " T vj kjëjc fa Ķh "22 hF `lvfr ĶcmfmĶr. Iucf rf$hjc Ķ#Ķ$f môcþ#jc kþëº[ sjvlyjslcmjmlr. Jnjatrla jcjrolslclc Ķ#Ķa jcjrolslcj môcþ#þhþcmjal vjrlh ëea mþ#þatþr.

NJM“njrlc kþë lgtlyf`Ķ  "2 lnj ":2 h[ frfsĶcmf mj$l#lr vj ôhþrnjrl "22.222 sffttjc dfznfmĶr.NJM“njrlc tjrs mfyfchf kjrlnlhnjrl 0-= T `lvfr ĶcmfmĶr.

%jaln 9.9:. NJMlc T-L afrfatjrlstl$l, sjhienþ vj yfymĶ$Ķ Ķ#Ķ$Ķc kþ`þ.

Mlyet Aftfnek IlnklnjrlKjcjn enfrfa þrjtl`lnjrlc aftfneknfrmf mlyetnfrnf lnklnl vjrmlanjrl ilnklnjr 0 a ĶsĶhmf tepnfcfilnlr.Iucnfr lnjrl yôcmj fa Ķh-kjrlnlh, tjrs yôcmj fa Ķh-kjrlnlh vj sĶ`fanĶanf lnklnl mj$jrnjrmlr. Fyr Ķ`fhjafcla ôzjnnlanjr vj a Ķsf ilnklnjr mj vjrlnlr. Mlyemuc tþrþcj kôrj pfrfhjtrj ëj#ltnjrl mj$l#jilnlr.Ôrcj$lc, zjcjr mlyet lnj me$runtu`u mlyemuc aftfneknfr Ķcmf dfranĶnĶanfr hjv`uttur. F#f$Ķmf ilr me$runtu`u mlyemucmf aunnfcĶnfc kjcjn a Ķsfnthfnfr vj fëĶanfhfnfr Ķ vjrlnhl#tlr.

 Hfaslhuh Mj # jrnjr vj ]jrhfn Afrfatjrlstlanjr 

YYHT ? ]jrs yôcmj mfyfcfilnj`j$l pla kjrlnlh

YHPT ? ]jrs yôcmj mfyfcfilnj`j$l jdjatld kjrlnlh

M@T ? ]jrs yôcmj mfyfcfilnj`j$l M@ kjrlnlh

)(FTDL ? Mlyettfc kjëjilnj`ja hfaslhuh me$runtunhu# fa Ķh

DPHL ? Mlyettfc kjëjilnj`ja tja ilr yfr Ķh mfnkf slcþs #janlcmjal fa ĶhĶc tjpj mj$jrl

ΗY  ? ]jrhla mlrjcë

F] ? M@ kjrlnlhlc tutunmu$u hfaslhuh sĶ`fanĶa 

O] ? Oecaslyecuc ëfnĶ#hf sĶ`fanĶa frfnĶ$Ķ

 Jnjatrlasjn Afrfatjrlstlanjr 

DT ? !njrl yôcmj hfaslhuh fcl kjrlnlh mþ#þhþ

Y L ? Cehlcfn tjrs M@ kjrlnlhmj kjëjc hfaslhuh tjrs fa Ķh

O@ ? ]lpla oecaslyec afpfsltjsl

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

0:

I!RENFY ]YFCP!P]ÔY 

\fpĶsĶ vj Pjhienþ

Ilpenfr trfcslstôr lal oecaslyecnu vj þë uënu ilr jnjhfcmĶr. Mlyemuc ëfnĶ"hfsĶcmfal prjcslpnjr 

aunnfcĶnfrfa ilpenfr trfcslstôrþc ëfnĶ"hfsĶ  fëĶanfcfilnlr. „Ilpenfr trfcslstôr‘ yjrlcj kjcjnnlanjsfmj`j „trfcslstôr‘ ajnlhjsl aunnfcĶnhfatfmĶr. CRC vj RCR enhfa þzjrj lal ëj"lt trfcslstôr vfrmĶr. ]rfcslstôr, jhltjr, tfifc vj aennjatôr uënfr Ķcmfc enu"ur. CRC trfcslstôrmj tfifc (ifz), lal

 C iônkjsl frfsĶcmfmĶr. C iônkjnjrlcmjc ilrl jhltjr, ml$jrl aennjatôrmþr. RCR trfcslstôrmj lsjtfifc, lal R iônkjsl frfsĶcmfmĶr. R iônkjnjrlcmjc ilrl jhltjr, ml$jrl aennjatôrmþr. ]rfcslstôrmjtfifc iônkjslclc kjcl"nl$l vj afta Ķnfhf erfcĶ, jhltjr vj aennjatôrj kôrj ëea aþëþatþr. Jhltjr vjaennjatôr fycĶ  tþr hfnzjhj enhfanf ilrnlatj jhltjrlc afta Ķnfhf erfcĶ  aennjatôrj kôrj ëea yþasjatlr. %jaln 0.#“mj CRC vj RCR trfcslstôrnjrlc yfpĶ vj sjhiennjrl kôstjrlnhl"tlr.

%jaln 0.#. CRC vj RCR trfcslstôrnjrlc yfpĶ vj sjhienþ.

]rfcslstôrþc ËfnĶ"hfsĶ

]rfcslstôrmj lal oecaslyec hjv`uttur. Jhltjr lnj tfifc frfsĶcmfal oecaslyec vj tfifc lnj aennjatôr frfsĶcmfal oecaslyec. Iu lal oecaslyecuc autupnfchfsĶcf kôrj trfcslstôr dfranĶ iônkjnjrmj ëfnĶ"Ķr.]fine 0.#“mj trfcslstôrþc ëfnĶ"hf iônkjnjrl kôstjrlnhl"tlr.

]fine.0.# ]rfcsltôrþc ëfnĶ"hf iônkjnjrl.ËfnĶ"hf Iônkjsl J-I oecaslyecu @-I oecaslyecu

Fatld 

MeyhfAjslh]jrs

!njrl autupnfhf

!njrl autupnfhf]jrs autupnfhf]jrs autupnfhf

]jrs autupnfhf (vjyf ie")

!njrl autupnfhf]jrs autupnfhf (vjyf ie")

!njrl autupnfhf

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

04

 Fatld Iônkj

]rfcslstôrþc môrt dfranĶ  ëfnĶ"hf iônkjslcmjc ôc`jnlanj fatld iônkjyl lc`jnjyjnlh. CRC ilr trfcslstôrþc fatld iônkjmj ëfnĶ"hfsĶ lëlc autupnfhfcĶc cfsĶn yfpĶnmĶ$Ķ %jaln 0.9“mj kôstjrlnhl"tlr.Fatld iônkjmj ëfnĶ"fc ilr CRC trfcslstôrmj J-I oecaslyecu lnjrl yôcmj, @-I oecaslyecu tjrsyôcmj autupnfcĶr. Jhltjr iônkjslcmj ëe$ucnua fa Ķh tf"ĶyĶ`Ķnfr Ķ enfc jnjatrecnfr afycf$Ķc (-) u`utfrfd Ķcmfc ltlnjrja tfifc iônkjslcj me$ru gfrjajt jmjr. ]fifc iônkjslclc mfr enhfsĶ  vj fz

hlatfrmf afta ĶnfchfsĶ  sjijilynj, jhltjr iônkjslcmjal jnjatrecnfr Ķc ëea fzĶ  tfifc iônkjslcmjalmjnlanjrnj ilrnj"lr, ëe$ucnu$u aennjatôr iônkjslcj kjëjr. Iucuc cjmjcl @-I oecaslyecucuc tjrsautupnfchfsĶmĶr. Jhltjrmjal jnjatrecnfr, aennjatôrj if$nĶ (+) kjrlnlh afycf$Ķ  tfrfd Ķcmfc ëjalnlr.FycĶ zfhfcmf @-I“mj enu"fc ie"nua iônkjsl jhltjrmjc kjnjc jnjatrecnfr Ķc gfrjajtlcl mjstjanjr.Jhltjrmjc kjnjc jnjatrecnfr Ķc yfanf"Ķa enfrfa % <<“u aennjatôrj klmjr. Iu fa Ķh afnĶc eanfkôstjrlnhl"tlr. ]rfcslstôrmjal ml$jr fa Ķhnfr iu fa ĶhĶc yfcĶcmf ëea aþëþatþr. Jhltjr jnjatrecnfr Ķyfyfc iônkjmlr. Aennjatôr lsj iu jnjatrecnfr Ķc tepnfcmĶ$Ķ iônkjmlr. Jhltjrmjc kjnjc jnjatrecnfr Ķcyfanf"Ķa enfrfa % #“l tfifcf me$ru klmjr. Iu jscfmf tfifc iônkjslcmjal mjnlanjrlc ilr a ĶshĶ mfjhltjrj me$ru gfrjajt jmjr. ]fifcĶc afta Ķnfhf erfcĶ  ëea mþ"þa enmu$ucmfc iu fa Ķh mf ëea aþëþatþr.

@-I oecaslyecucuc tjrs yôcmj autupnfchfsĶ  lnj ie"nua iônkjsl enu"ur vj sĶzĶctĶ  fa ĶhĶ  kjëjr.I“mj fzĶcnĶa fzĶcnĶa fa Ķh tf"ĶyĶ`Ķnfr Ķ enfc jnjatrecnfr @“yj me$ru, @“mj fzĶcnĶa fa Ķh tf"ĶyĶ`Ķnfr Ķenfc mjnlanjr I“yj me$ru gfrjajt jmjr. I-J uënfr Ķcf ilr kjrlnlh uykunfchfmĶ$Ķcmf, @-I“mjckjëjc sĶzĶctĶ fa ĶhĶ  2@IL sjhienþ lnj kôstjrlnlr.

%jaln 0.9. Fatld iônkjmj ëfnĶ"fc ilr CRC trfcslstôrþc autupnfchfsĶ.

!njrl yôcmj uykunfcfc IJT kjrlnlhlclc mj$jrl, trfcslstôrmjc kjëjc jhltjr fa ĶhĶc hlatfr ĶcĶ

 ijnlrnjr. ]jrs yôcmj uykunfcfc @IT kjrlnlhlclc aennjatôr fa ĶhĶcf jtalsl ëea fzmĶr. @IT

kjrlnlhlclc frttĶr ĶnhfsĶ  ie"nua iônkjslcl kjcl"njtlr vj ifz iônkjslcl mfrfntĶr. Iu muruhmfjhltjrmjc aennjatôrj kjnjc jnjatrecnfr frtfr, tfifcf kjnjc jnjatrecnfr fzfnĶr.

Mjvrj ëôzþhþcmj afiun jmlnjc fa Ķh yôcþ jnjatrec fa Ķ"ĶcĶc tjrslmlr. CRC trfcslstôrþc fatld  iônkjmj ëfnĶ"hfsĶ muruhucmf jnjatrecnfr Ķc fa Ķ"Ķ vj fa Ķh yôcþ %jaln 0.0“tj kôstjrlnhl"tlr.

%jaln 0.0. CRC trfcslstôrmj fa Ķh yôcnjrl.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

0;

]rfcslstôrmj tfifc fa ĶhĶ  lnj aennjatôr fa ĶhĶcĶc tepnfhĶ  jhltjr fa ĶhĶcĶ  vjrlr. ]fifc fa ĶhĶ,jhltjr vj aennjatôr fa ĶhĶcf kôrj ëea aþëþatþr. Aennjatôr fa ĶhĶcĶc jhltjr fa ĶhĶcf erfcĶ  #“jyfa ĶcmĶr. Iu erfc M@ fa Ķh afzfc`ĶcĶ vjrlr vj M@ζ  lnj kôstjrlnlr.

@IJ LLL   +8

JI LL   >>2@IJM@@ LLL   +ζ8

2L 2@I   ≇ 83 JM@@ LL   ζ≊

J

@M@ L

L8ζ , M@ fa Ķh afzfc`Ķ, <<<.2<:.2 M@  >ζ>

 Meyuh Iônkjsl 

]fine 0.#“mj kôstjrlnml$l klil gjr lal iônkj mj lnjrl yôcmj autupnfcĶrsf ëfnĶ"hf meyuh iônkjslcmjenur. Meyuhmf @-I oecaslyecucmfal ie"nua iônkjsl ertfmfc afnafr. Aennjatôrþc jhltjrmjc kjnjcfa Ķh tf"ĶyĶ`Ķnfr Ķ tepnfhf ôzjnnl$l iþyþa ônëþmj fzfnĶr. J$jr @-I oecaslyecucmfal lnjrl autupnfhf

yjtjrnl lsj aennjatôr jhltjrmjc kjnjc fa Ķh tf"ĶyĶ`Ķnfr ĶcĶ  tepnfhfz vj jhltjr klil tfifcf me$rufa Ķh tf"ĶyĶ`Ķ yfyfr.

 Ajslh Iônkjsl 

]rfcslstôrþc gjr lal oecaslyecu tjrs yôcmj autupnfcĶrsf ëfnĶ"hf ajslh iônkjslcmj enur. Jhltjr tfifc iônkjslcj ëe$ucnua fa Ķh tf"ĶyĶ`Ķ kôcmjrhjz. Jhltjr vj aennjatôrmjc sĶzĶctĶ fa ĶhĶ kjëjr.Jhltjr fa ĶhĶcĶc sĶd Ķr enhfsĶ mf ajslh iônkjslcmj ëfnĶ"hfmĶr.

]jrs Ëfn Ķ!hf Iônkjsl 

]rfcslstôrmj aennjatôr vj jhltjr yjr mj$l"tlrlnjrja aunnfcĶnĶrsf iu iônkj tjrs ëfnĶ"hf iônkjslmlr.

Jhltjr vj aennjatôrþc afta Ķnfhf erfcĶ fycĶ enhfmĶ$Ķ  lëlc iu iônkjmjal ëfnĶ"hf, fatld iônkjmjcdfranĶmĶr. Aennjatôr vj jhltjrlc mj$l"tlrlnhjsl kjcjnnlanj hþhaþc mj$lnmlr. Dfaft ifzĶ  ôzjnmjvrjnjrmj trfcslstôr iu "jalnmj aunnfcĶnfilnlr.

Ertfa ]fifcnĶ Mjvrj

Þë uënu ilr mjvrj jnjhfcĶcmf ilr ertfa uë, ilr klrl" u`u vj ilr ëĶa Ķ" u`u vfrmĶr. Ertfa u`f kôrjtrfcslstôr mjvrjnjrl dfranĶ  afrfatjrlstla kôstjrlr. Ertfa uë tfifc lsj ertfa tfifcnĶ  mjvrj enu"ur.

 CRC vj RCR trfcslstôrnjrlc ertfa tfifcnĶ  mjvrjsl %jaln 0.=“tj kôstjrlnhl"tlr. Ertfa tfifcnĶmjvrjmj klrl" fa ĶhĶ jhltjr, ëĶa Ķ" fa ĶhĶ lsj aennjatôr fa ĶhĶmĶr. ËĶa Ķ" fa ĶhĶcĶc klrl" fa ĶhĶcf erfcĶ

M@ fa Ķh afzfc`ĶcĶ vjrlr vj M@ζ  enfrfa tfcĶhnfcĶr.

%jaln 0.=. CRC vj RCR trfcslstôrnjrmj ertfa tfifcnĶ mjvrjnjr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

07

 Ajslhmj Iônkjsl 

Ajslh muruhucmf jhltjrmjc ilr fa Ķh kjëhjz vj aennjatôr fa ĶhĶ enu"hfz. ]rfcslstôrþc ajslhmjenhfsĶcĶc sjijil f"f$Ķmfalnjrmjc ilrl enfilnlr.

-  Jhltjr u`ucuc fëĶa enhfsĶ

J-I oecaslyecuc autupnfchfhfsĶ ( 2TIJ  8 )-  !njrl yôcmjal J-I oecaslyec kjrlnlhlclc yjtjrnl enhfhfsĶ-  J-I oecaslyecucf tjrs yôcmj kjrlnlh uykunfchfsĶ

 Fatld Iônkj vj Meyuh Iônkjsl 

J-I oecaslyecu yjtjrnl ilr lnjrl kjrlnlh lnj autupnfcĶrsf, jhltjr fa ĶhĶ kjëjr vj aennjatôr fa ĶhĶ

enu"ur. Aennjatôr fa ĶhĶ  yfanf"Ķa enfrfa, jhltjr fa ĶhĶcf j"lttlr ( JM@@ LL   ζ≊ ,   #M@  ≇ζ ,

J@ LL   ≇ ). @-I oecaslyecu tjrs autupnfcmĶ$Ķcmf trfcslstôr fatld iônkjmj ëfnĶ"Ķr vj JL “clc

frttĶr ĶnhfsĶ @

L “clc frthfsĶcf cjmjc enur. @-I oecaslyecu lnjrl yôcmj autupnfcmĶ$Ķcmf trfcslstôr 

meyuhf klrjr vj JL “clc frttĶr ĶnhfsĶ lnj @L fa ĶhĶ mj$l"hjz.

Zykunfhf " ?

%jalnmjal mjvrjmj aunnfcĶnfcslnlsyuh CRC trfcslstôrmj

#M@  ≇ζ afiun jmjrja,

f)  JL , @L vj @IT mj$jrnjrlcl

gjsfpnfyĶcĶz. i)  T#.:TJJ  8 enhfsĶ  muruhucmf

JL , @L vj @IT mj$jrnjrlclgjsfpnfyĶcĶz.

Ëôzþh ?

f)  ]rfcslstôrþc I-J oecaslyecu me$ru yôcmj autupnfchĶ"tĶr. T;.2TIJ  8 .

∙8

a 0.0

;.2=LJ

 8 # hF

J@ LL   ≇ 8 # hF

@IT 8 92 ‐ # hF x #: a ℤ 8 : T

 i) ℤ

∙8

a 0.0

;.2#.:LJ  

8 #.00 hF

J@ LL   ≇ 8 #.00 hF

@IT 8 92 ‐ #.00 hF x #: a ℤ 8 2 T ( trfcslstôr meyuhmf )

@-I oecaslyecu tjrs autupnfchfmĶ$Ķ lëlc ( @IT 8 2) trfcslstôr meyuhf klrhl"tlr. Meyuhmf

JL fa ĶhĶcĶc frttĶr ĶnhfsĶ  @L “yl frttĶrhfz. Aennjatôr fa ĶhĶcĶc meyuh mj$jrl,

@@@@ TY L   8

Jsft@

@@@sft@ L

Y TLL   888   "janlcmj gjsfpnfcĶr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

0<

Zykunfhf 9?

%jalnmjal mjvrjmj ilr slnlsyuh RCRtrfcslstôr aunnfcĶnhĶ"tĶr. JL , @L vj

@IT mj$jrnjrlcl gjsfpnfyĶcĶz.

f) ℤ8 a ;.=Y J

 i) ℤ8  472Y J`) ℤ8  =;2Y Jm) ℤ8ℤ8  , #:2Y =;2Y  @J

Ëôzþh?

f)  ]rfcslstôrþc meyhf fa ĶhĶ,ℤ

888a :.#

#:

TLL

@

@@Jsft@sft  8 #2 hF

∙8

a ;.=

;.2#2LJ

 

8 #.<;hF ≊ 9 hF

JsftJ LL   >  trfcslstôr meyhfyf klrhjz. Fatld iônkjmjmlr.

J@ LL   ≇ 8 9 hF

@IT 8 -#: + 9 hF x #.: a ℤ 8 -#9 T, secuë cjkftld. RCR trfcslstôrþ fatld iônkjmjmlr.

 i) ℤ

∙8

 472

;.2#2LJ 8 #0.;hF

JsftJ LL   3  trfcslstôr meyhfyf klrjr.

@sft@ LL   8 8#2 hF

@IT 8 -#: + #2 hF x #.: a ℤ 8 2 T

`) ℤ

∙8

 =;2

;.2#2LJ 8 92 hF

JsftJ LL   3  trfcslstôr meyhfyf klrjr.

@sft@ LL   8 8#2 hF

@IT 8 2 T

m)  ]rfcslstôrþc yjcl meyhf fa ĶhĶ,

888

 #:2

#:

TLL

@

@@Jsft@sft  8 #22 hF

JL 892 hF

JsftJ LL   >  trfcslstôr meyhfyf klrhjz.

J@ LL   ≇ 8 92 hF

@IT 8 -#: + 92 hF x #:2 ℤ 8 -#9 T, secuë cjkftld. RCR trfcslstôrþ fatld iônkjmjmlr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

=2

Ertfa Jhltjrnl Mjvrj

Ertfa jhltjrnl mjvrjmj CRC trfcslstôrþc fatld iônkjmj ëfnĶ"hfsĶ  lëlc uykunfcfc kjrlnlhnjr %jaln.0.=“tj kôstjrlnhl"tlr. I-J uënfr Ķcf IJT vj @-J uënfr  Ķcf @JT autupnfhf kjrlnlhnjrl

uykunfcĶr. J-I oecaslyecu lnjrl yôcmj autupnfcĶr yfcl IJT kjrlnlhl pezltldtlr. Aennjatôrj,

jhltjrj kôrj pezltld @JT kjrlnlhl uykunfcĶr. Aennjatôr kjrlnlhl tfifcf kôrj f"f$Ķmfal klilyfzĶnĶr.

IJ@J@I TTT   ∙8

@-I oecaslyecucu tjrs autupnfhfa lëlc @IT  kjrlnlhl pezltld enhfnĶmĶr. \fcl @JT kjrlnlhl IJT

kjrlnlhlcmjc iþyþa enhfnĶmĶr. @JT kjrlnlhl IJT “mjc aþëþa lsj @IT kjrlnlhl cjkftld enur vj

@-I oecaslyecu lnjrl yôcmj autupnfcĶr menfyĶsĶynf trfcslstôr meyhfyf klrjr.

Ertfa jhltjrnl mjvrjmj klrl"  tfifc, ëĶa Ķ"  aennjatôrmþr. Ijnlrnl ilr IL klrl"  fa ĶhĶ  lëlc @L ëĶa Ķ"fa ĶhĶ enu"ur. ]rfcslstôrþc ëfnĶ"hfsĶ ertfa tfifcnĶ mjvrjal klilmlr. Ertfa tfifcnĶ mjvrjmjal afzfcë`lcslcmjc IL lnj @L frfsĶcmfal lnl"al f"f$Ķmfal klil jnmj jmlnlr.

@IJ LLL   +8

2@IJM@@ LLL   +ζ8 , 2L 2@I   ≇ , JM@@ LL   ζ≊

JM@I L).#(L   ζ∙≇

M@

IJ

#

LL

ζ∙≇

M@

II@J #

LLLLζ∙

8+8

IM@

M@@ L

#L

ζ∙

ζ8 , IM@@ L.L   ι8  

M@

M@M@ #   ζ∙

ζ8ι

I

@M@ L

L8ι ? Fa Ķh afzfc`Ķ

IM@IM@I@IJL)#(L.LLLL   ι+8ι+8+8

%jaln 0.:. Ertfa jhltjrnl mjvrj.

Zykunfhf 0?

Ilr trfcslstôr <<:.2M@  8ζ  mj$jrlcj sfglptlr. ]rfcslstôrþc M@ι mj$jrlcl gjsfpnfyĶcĶz.

Ëôzþh

#<<<<:.2#

<<:.2

# M@

M@M@   8

∙8

ζ∙

ζ8ι

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

=#

Ertfa jhltjrnl mjvrjmj ëĶa Ķ! afrfatjrlstl  # l 

Ertfa jhltjrnl mjvrjmj ilr CRC trfcslstôrþc ëĶa Ķ"  afrfatjrlstl$l %jaln 0.4“mf vjrlnhl"tlr. FceatfsĶcmf tfifc fa ĶhĶ  sĶd ĶrmĶr vj trfcslstôrmjc ëea aþëþa ilr aennjatôr fa ĶhĶ  kjëjr. Iu fa Ķh

2@JL sjhienþ lnj kôstjrlnlr ( 2@IM@2@J L.L   ζ8 ). F ceatfsĶcmf trfcslstôr ajslhmjmlr. I vj @

ceatfnfr Ķcmf trfcslstôr fatld iônkjmjmlr. Fatld iônkjmj aennjatôr fa ĶhĶ, tfifc fa ĶhĶcĶcM@

ζ

aftĶmĶr. Afrfatjrlstla þzjrlcmj kôrþnmþ$þ M@ζ  klil gjr ceatfmf fycĶ mj$lnmlr. M ceatfsĶcmf lsj

trfcslstôr meyuhmf ëfnĶ"Ķr. ]rfcslstôrmj ëfnĶ"hf ceatfsĶcĶc iunuchfsĶ  yþa me$rusu ëlzlnjrja yfpĶnfilnlr. @@@@@J Y LTT   ∙8   (%jaln 0.:“tjc) mjcanjhl aunnfcĶnfrfa yþa me$rusu ëlzlnlr.

Afrfatjrlstla lnj ëfa Ķ"fc ceatf ëfnĶ"hf ceatfsĶmĶr. ]rfcslstôr fhpnldlaftôr enfrfa aunnfcĶnĶyersfëfnĶ"hf ceatfsĶ mlaaftnl sjëlnhjnlmlr.

%jaln 0.4. Ertfa jhltjrnl CRC trfcslstôrþc ëĶa Ķ" afrfatjrlstl$l.

 Ajslh Iônkjsl 

%jaln 0.;. Ertfa jhltjrnl mjvrjmj trfcslstôrþc ajslhmj enhfsĶ.

Ajslh iônkjslcmj trfcslstôrmjctfifc fa ĶhĶ kjëhjz. Iu muruh,I-J oecaslyecucuc fëĶa mjvrjenhfsĶ, tjrs autupnfchfsĶ vjyfyjtjrl afmfr autupnfchfhfsĶ lnjertfyf ëĶafr.

]rfcslstôrþc aennjatôr-jhltjr uënfr Ķ fëĶa mjvrj klil mfvrfcĶr.

Aennjatôrmjc kjëjc fa Ķh sĶd ĶrmĶr vj aennjatôr-jhltjr uënfr Ķcmfhfaslhuh kjrlnlh enu"ur.

Ajslhmj trfcslstôrmjc 2@JL fa ĶhĶ kjëjr. Iu fa Ķh lghfn jmlnjilnlr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

=9

 Fatld Iônkj vj Meyuh Iônkjsl 

J-I oecaslyecu yjtjrl afmfr autupnfchĶ"sf tfifc fa ĶhĶ  kjëjr. Fatld iônkjmj aennjatôr fa ĶhĶ

IM@@ L.L   ι8  enfrfa gjsfpnfcĶr. ]fifc fa ĶhĶ frttĶr ĶnmĶ$Ķcmf aennjatôr fa ĶhĶ erfctĶnĶ enfrfa frtfr.

Meyhf iônkjslcmj tfifc fa ĶhĶcĶc frttĶr ĶnhfsĶ  lnj aennjatôr fa ĶhĶ  frthfz. Meyhfmf aennjatôr fa ĶhĶ  hfaslhuh mj$jrlcj vj @-J kjrlnlhl hlclhuh mj$jrlcj unf"Ķr. Meyhf iônkjslcmj

2T@J

 ≇  afiun jmlnjrja@sft

L vjIsft

L f"f$Ķmfal "jalnmj gjsfpnfcĶr.

@

@Jsft@sft Y 

TL   ≇ ,

@

@sftIsft Y 

LL   ≇

Zykunfhf =?

%jalnmjal mjvrjmj aunnfcĶnfc CRCtrfcslstôrmj #:2M@  8ι  enmu$ucf kôrj,

f)  8IY ℤa #22 lëlc IL , @L , JL vj

@JT mj$jrnjrlcl gjsfpnfyĶcĶz.

 i)  ]fifc mlrjc`lcl ℤa :2 fnfrfa yuafr Ķmfal l"njhnjrl tjarfrnfyĶcĶz.

`)  hF#LI  8   enhfsĶ  muruhucmf @L

vj JL “yl gjsfpnfyĶcĶz.

Ëôzþh ?

f) ℤ

∙8

a #22

;.24LI  8 :0 ºF

8ℤ

8a #

#9L@sft   #9 hF

#:2

hF#9LIsft  8  8 72 ºF

IsftI LL >  enmu$ucmfc trfcslstôr 

fatld iônkjmjmlr.

IM@@ LL   ι8 8#:2 x :0 ºF 8 ;.<: hF8@JT   #9 T ‐ ;.<: hF x # a ℤ 8 =.2: T

hF7LLL I@J   ≇+8

 i) ℤ

∙8

a :2

;.24LI 8#24 ºF

#9L@sft  8  hF, IsftL 872 ºF

IsftI LL ⌯  enmu$ucmfc trfcslstôr 

meyuhf klrjr.

hF#9LL @sft@   88

2T@J  ≇

I@J LLL   +8 8#9.## hF

`)  ]fifc fa ĶhĶ #  hF lsj trfcslstôr meyuhmfmĶr. Meyuhmf aennjatôr fa ĶhĶ  sfilt enup, tfifcfa ĶhĶ lnj erfctĶnĶ enfrfa frthfz. ]fifc fa ĶhĶcĶc dfznfnĶ$Ķ jhltjr fa ĶhĶcĶ frttĶr Ķr.

I@J LLL   +8 8#9 hF + # hF 8 #0 hF

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

=0

Ertfa Aennjatôrnþ Mjvrj

Ertfa aennjatôrnþ mjvrjmj trfcslstôrþc autupnfchfsĶ  ertfa jhltjrnl mjvrjmjal klilmlr. %jaln0.7“mj CRC trfcslstôrþc ertfa aennjatôr if$nfctĶsĶ vj j"ltnlanjr vjrlnhl"tlr. Mjvrjclc klrl"l tfifc,ëĶa Ķ"Ķ lsj jhltjrmlr.

%jaln 0.7. Ertfa aennjatôrnþ mjvrj.

JJIJIIII Y LTY LT   ++8

JJIIIJII Y LY LTT   +8∙

IM@J L)#(L   +ι8

JIM@IIIJII Y L)#(Y LTT   +ι+8∙

JM@I

IJIII Y )#(Y 

TTL

+ι+

∙8

]fifc fa Ķ

  JM@I Y )#(Y    +ι+   mlrjc`ltfrfd Ķcmfc ijnlrnjclr.

Meyuhmf 1J

@@Jsft Y 

TL   ≇ ,

)#(

LL

M@

JsftIsft

ι+8

Zykunfhf :?

%jaln 0.:“tjal ertfa aennjatôrnþ mjvrjmj ℤ8 a :2Y I , ℤ8 a #Y J , T#98IIT , T#4T@@  8  vj

<<M@  8ι  enfrfa ilnlchjatjmlr.

f)  IL , JL , JT vj @JT mj$jrnjrlcl gjsfpnfyĶcĶz.

 i)  IIT kjrlnlhl frttĶr ĶnmĶ$Ķcmf afë T meyhfyf cjmjc enur5

Ëôzþh ?

f)  F0.;::2

;.2#9LI   º8

ℤ++ℤ

∙8  

#).#a (<<a 

8ι+8 IM@J L)#(L ;.:0 hF

JJJ Y LT   8 8;.:0 T

IJJI TTT   +8 8;.:0 + 2.; 8 7.90 T

8∙8 J@@@J TTT #4 ‐ ;.:0 T 8 7.=; T

 i) ℤ

88a #

#4

TL

J

@@Jsft 8 #4 hF

F<<#

hFº8

+8

ι+8   #42

#4

#

LL

M@

JIsft

F#).#a (<<a  º8ℤ++ℤ

∙8   #42:2

;.2TL III T;.9=TII  8

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

==

]rfcslstôrþc hfaslhuh mj#jrnjrl

]rfcslstôrþc hfaslhuh mj$jrnjrl, aennjatôr-tfifc kjrlnlhl, aennjatôr-jhltjr kjrlnlhl, jhltjr-tfifc kjrlnlhl, aennjatôr fa ĶhĶ, oecaslyec sĶ`fanĶ$Ķ  vj gfr`fcfc kþë lëlc vjrlnlr. ]rfcslstôrþckþ`þ @JT lnj @L “clc ëfrpĶhĶmĶr.

@J@ T.LR 8

F-I ceatfnfr Ķ  frfsĶcmfal iônkj hfx@L iônkjslmlr. hfxR iônkjsl I-@ ceatfnfr Ķ  frfsĶcmfal

 iônkjmlr. @-M ceatfnfr Ķ  frfsĶcmfal iônkj lsj hfx@JT iônkjslmlr. %jaln 0.<“mf trfcslstôrþc

hfaslhuh kþë j$rlsl aennjatôr afrfatjrlstl$l þzjrlcmj ëlzlnhl"tlr. I lnj @ ceatfsĶ  frfsĶcmfalgjrgfckl ilr ceatfmf fa Ķh vj kjrlnlhlc ëfrpĶhĶ, trfcslstôrmj gfr`fcfilnj`ja hfaslhuh kþ`þvjrlr.

#9 T x :2 hF 8 422 h[ ( I ceatfsĶcmf)92 T x 02 hF 8 422 h[ (@ ceatfsĶcmf)

]rfcslstôrmj gfr`fcfilnj`ja hfaslhuh kþë sĶ`fanĶanf fzfnĶr. 9: @! “mj #  [ gfr`fcfilnjc ilr 

trfcslstôrmj, sĶ`fanĶa aftsfyĶsĶ :h[/ @!  lsj, iu trfcslstôrmj ;2 @! “mj gfr`fcfilnj`ja hfaslhuh

kþë #[ - :h[/ @!  x ( ;2 @!  ‐ 9: @!  ) 8 2.;;: [ iunucur.

%jaln 0.<. Ilr trfcslstôrþc hfaslhuh kþë j$rlsl.

Zykunfhf 4?

Hfaslhuh kþ`þ 2.9: [ enfc ilr trfcslstôrmj @JT 8 4 T muruhucmf trfcslstôrmjc kjëjilnj`ja 

hfaslhuh fa ĶhĶ iunucuz

Ëôzþh?

T4

 [9:.2

T

RL

@J

hfx@   88 8=#.4; hF

@JT kjrlnlhl mþ"þa lajc aennjatôr fa ĶhĶ frttĶr Ķnfilnlr. Fa Ķh hfx@L sĶcĶr ĶcĶ, kþë hfxR sĶcĶr ĶcĶ

f"hfhfnĶmĶr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

=:

Autupnfhf Mjvrjnjrl

Ilr trfcslstôrþc yþasjntl`l (fhpnldlaftôr) enfrfa ëfnĶ"filnhjsl lëlc m` enfrfa autupnfchfsĶ  (ôckjrlnlhnjchjsl) kjrjalr. \þasjntl`l mjvrjclc klrl"lcj ilr F@ l"frjt uykunfcmĶ$Ķcmf, ëĶa Ķ"tf jnmjjmlnjc l"frjt, M@ ilnj"jc lnj F@ l"frjtlc tepnfhĶmĶr. Ilr F@ l"frjt uykunfchfzsf mjvrjmj sfmj`jM@ ilnj"jc hjv`uttur. %jaln 0.#2“mf iu muruh kôstjrlnhl"tlr. Zykunfhfmf trfcslstôr lal fyr Ķ

afycfa yjrlcj tja ilr afycfa lnj autupnfcĶr. %jaln 0.##“mj kôstjrlnjc ertfa jhltjrnl mjvrjclcklrl"lcj ilr F@ kjrlnlh uykunfchĶ"tĶr vj tfifc fa ĶhĶ 922 Fº  lnj =22 Fº  frfsĶcmf mj$l"hjatjmlr.

]fifc fa ĶhĶcĶc :22 Fº “mjc iþyþa enhfsĶ  muruhucmf aennjatôr fa ĶhĶ  vj kjrlnlhl meyhfyf

klmjr. ]fifc fa ĶhĶcĶc cjkftld enhfsĶ muruhucmf lsj trfcslstôr ajslhj klmjr. ËfnĶ"hf ceatfsĶcfvj sĶcĶrnfrf mlaaft jmlnhjnlmlr.

%jaln 0.#2. Ilr yþasjntl`lmj M@ vj F@ ilnj"jcnjrlc tepnfhĶ.

%jaln 0.##. ËfnĶ"hf ceatfsĶcĶc iunuchfsĶ.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

=4

]fifc Autupnfhf Mjvrjsl 

I-J vj @-J oecaslyecnfr ĶcĶc lal fyr Ķ afycfa yjrlcj tja ilr afycfa lnj autupnfchfsĶ mfgf prftla  ilr ëôzþhmþr. Iu mjvrjyj tfifc autupnfhf mjvrjsl mjclr. %jaln 0.#9“mj tfifc autupnfhf mjvrjslkôstjrlnhl"tlr. %jalnmjal ertfa jhltjrnl mjvrjmj mjvrjclc klrl" vj ëĶa Ķ"Ķcf aecmfcsftôr aecunfrfa M@ ilnj"jcnjr dlntrj jmlnhl"tlr.

%jaln 0.#9. Ertfa jhltjrnl mjvrjmj tfifc autupnfhf mjvrjsl.

I

IJ@@I Y 

TTL

  ∙8

T;.2TIJ  ≇

Fatld iônkjmj1

I@ L.L   ι8

@@@@@JY LTT   ∙8

Mjvrjmj ëfnĶ"hf ceatfsĶ  afrfrnĶ  mj$lnmlr. IJT kjrlnlhl sĶ`fanĶ$Ķc frthfsĶ  lnj fzfnĶr. IJT

kjrlnlhlclc frthfsĶ  tfifc fa ĶhĶcĶ fzfntĶr. 2@IL sĶzĶctĶ  fa ĶhĶ  sĶ`fanĶanf frtfr. 2@IL fa ĶhĶ, IY 

mlrjc`l þzjrlcmj tfifc fa ĶhĶcĶ frttĶr Ķ`Ķ yôcmj ilr kjrlnlh enu"turur. M@ι mj sĶ`fanĶanf mj$l"lr. Iu

mj$l"lhnjr mjvrjmj ëfnĶ"hf ceatfsĶcĶc mj$l"hjslcj yen fëfr. IJT vj 2@IL “Ķc mj$l"hjsl @@T

kjrlnlhlcj kôrj enmuaëf aþëþatþr. ËfnĶ"hf ceatfsĶcmfal afrfrsĶznĶa mfgf ëea M@ι “mjal

mj$l"lhmjc afycfanfcĶr.

 Jhltjr Mlrjcënl Autupnfhf Mjvrjsl 

Jhltjr mlrjc`lclc janjchjsl afrfrnĶnĶ$Ķ frttĶr Ķr. ËfnĶ"hf ceatfsĶcmfal mj$l"lh ëea aþëþatþr.

%jaln 0.#0. Jhltjr mlrjcënl autupnfhf mjvrjsl

2Y LTY LT JJIJII@@   8∙∙∙

IJ L).#(L   +ι8

JIIJ@@I Y )#(Y 

TTL +ι+

∙8

I@ L.L   ι8

)Y Y (LTT J@@@@@J   +∙8

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

=;

Kjrlnlh Iônþ`þ lnj Autupnfhf

Jc ëea aunnfcĶnfc autupnfhf mjvrjslmlr. ËfnĶ"hf ceatfsĶ  M@ι “mjc if$ĶhsĶzmĶr.

$jaln 0.%=. Kjrlnlh Iônþ`þ Mjvrj lnj Autupnfhf

9I#I

9I#III Y Y 

Y Y Y 

+8

@@9I#I

9I

II

TY Y 

Y T

+8

JM@IIJIIIII Y )#(LTY LT   ι+++8

JM@II Y )#(Y    ι+>>  lsj

J

JJ Y 

TL   8

J@ LL   ≊

)Y Y (LTT J@@@@@J   +∙8

Jhltjr fa ĶhĶcĶc M@ι “mjc if$ĶhsĶz enhfsĶ cjmjclynj mjvrjmjal ëfnĶ"hf ceatfsĶ afrfrnĶmĶr.

Zykunfhf ;?

%jaln 0.#=“tjal mjvrjmj ℤ8 a 0<Y   #I , ℤ8 a .<0Y  9I , ℤ8 a #2Y @ , ℤ8 a .:#Y J ,

T99T@@  8 vj #=28ι   enfrfa vjrlnhl"tlr. ]rfcslstôrþc @JT kjrlnlhlcl, @l fa ĶhĶcĶ  vj

trfcslstôrmj gfr`fcfc kþ`þ gjsfpnfyĶcĶz.

Ëôzþh?

@@9I#I

9III T

Y Y 

Y T

+8 T9

.  8

+8 99

<00<

0<

T.. 0#;29TTT IJIJ   8∙8∙8

hF.a .

.74;2

:#

0#L

TL @

J

JJ   8

ℤ8≊8

)Y Y (LTT J@@@@@J   +∙8 899 - 2.74;hF .#2 ℤa 8#0.0 T

@J@ TLR .8 82.74;hF . #0.00 T 8 ##.:: h[

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

=7

Kjrlijsnjhjnl M@ Ôckjrlnlhnjhj

%jaln 0.#:“tj kjrlijsnjhjnl ilr ôckjrlnlhnjhj mjvrjsl kôstjrlnhl"tlr. Kjrlijsnjhj mj jhltjr mlrjc`l klil ôckjrlnlhnjhj afrfrnĶnĶ$ĶcĶ frttĶr Ķr.

$jaln 0.%:. Kjrlijsnjhjnl M@ôckjrlnlhnjhj

2Y LTY LY LT JJIJII@@@@   8∙∙∙∙ '

IJI@@ L#LLLL )(' +ι88+8

2Y L#TY LY L#T JIIJII@I@@   8+ι∙∙∙+ι∙ )()(

))(( J@I

IJ@@I Y Y #Y 

TTL

++ι+

∙8

2Y LTY LT JJ@J@@@@   8∙∙∙ '

J@ LL   8'

)( J@J@@@J Y Y LTT   +∙8

Zykunfhf 7?

%jaln 0.#:“tjal mjvrjmj ℤ8 a 9:2Y I

, ℤ8 a .9#Y J

, ℤ8 a 0Y @

, T#2T@@

 8   vj :28ι

enfrfa vjrlnhl"tlr. ]rfcslstôrþc @JT kjrlnlhlcl, @l fa ĶhĶcĶ  vj trfcslstôrmj gfr`fcfc kþ`þ

gjsfpnfyĶcĶz.

Ëôzþh?

))(( J@I

IJ@@I Y Y #Y 

TTL

++ι+

∙8 8 F.

)a #.9a :#.(0a 

.º8

ℤ+ℤ+ℤ

∙2092

9:2

;2#2

IJ L#L )(   +ι8 8 F92.20. º:# 8#.29 hF

)a #.9a .(0hF.)(   ℤ+ℤ∙8+∙8 29##2Y Y LTT J@J@@@J 8 #2-=.97 8 :.;9 T iunucur.

@J@ TLR .8 8#.29 hF . :.;9 T 8 :.; h[

Ôckjrlnlhnjhj Mjvrjnjrlcmj Afrfrn Ķn Ķa 

-  ]jrs yôcmj aennjatôr fa ĶhĶ (afëfa fa ĶhĶ  )2@IL sĶ`fanĶatfal gjr @#2!  frtĶ"nf lalyj aftnfcĶr.

-  Ifz jhltjr kjrlnlhl IJT , gjr @!  if"Ķcf 9.: hT fzfnĶr 

-  ]rfcslstôrþc fa Ķh afzfc`Ķ, sĶ`fanĶanf frtfr.

AfrfrnĶnĶa dfatôrþ P, sĶ`fanĶa cjmjclynj ilr pfrfhjtrjmj hjymfcf kjnjc mj$l"lanla cjmjclynjaennjatôr fa ĶhĶcmf kôrþnjc mj$l"hjclc ônëþsþmþr. Ôckjrlnlhnjhj mjvrjnjrlclc tfsfr ĶhĶcmfôc`jnlanj trfcslstôrþc ι “sĶcmfal mj$l"hjnjrj afr "Ķ afrfrnĶnĶa gjmjdnjclr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

:2

Mfrnlcktec If#nfctĶ

Fa Ķh afzfc`Ķ yþasja enfc trfcslstôrnjr yþasjntl`l mjvrjnjrmj tjr`lg jmlnlr. Fa Ķh afzfc`Ķ #222`lvfr Ķcmf enfc trfcslstôrnjr hjv`uttur. Mfgf yþasja ilr afzfcë jnmj jthja lëlc %jaln 0.#4“mfkôstjrlnml$l klil lal trfcslstôrmjc enu"fc mfrnlcktec if$nfctĶ  aunnfcĶnĶr. Mfrnlcktec if$nfctĶmffa Ķh afzfc`Ķ  lal trfcslstôrþc fa Ķh afzfcënfr ĶcĶc ëfrpĶhĶcf j"lttlr. Iu afzfcë ;222 lnj ;2222

frfsĶcmfmĶr. Mfrnlcktec ëldtlclc klrl" jhpjmfcsĶ yþasjatlr. Mfrnlcktec if$nfctĶmfal lal trfcslstôr,kjcjnnlanj tja ilr trfcslstôr a ĶnĶd Ķcmf þrjtlnlr. Mfrnlcktec ëldtlcj ôrcja enfrfa CRC enfc 9C:027Fkôstjrlnjilnlr.

%jaln 0.#:. CRC Mfrnlcktec trfcslstôr ëldtl

#I##J LL   ι8

#J9I LL   8

#I#I#99I99J L.LLL   ι8ιι8ι8

9#ιι8ι

]rfcslstôrþc Fcfgtfr Enfrfa AunnfcĶnhfsĶ

]rfcslstôr fcfgtfrnfhf mjvrjnjrlcmj yfykĶc enfrfa aunnfcĶnĶr. ]rfcslstôr sfyĶsfn mjvrjnjrmj,aectren, sfyĶ`Ķ, zfhfcnfhf, vjrl l"njhj, ônëhj mjvrjnjrlcmj, rfmfr, tjnjvlzyec vi. mjvrjnjrlcmjfcfgtfr enfrfa aunnfcĶnĶr. ]rfcslstôr fcfgtfr enfrfa aunnfcĶnmĶ$Ķcmf lnjtlh vj ajslh enhfa þzjrjlal aecuhmf ëfnĶ"Ķr. !njtlh aecuhucmf mlrjc`l 2.#-#22 ℤ  frfsĶcmfmĶr vj a Ķsf mjvrj afiunjmlnjilnlr. Ajslh aecuhucmf trfcslstôr fëĶa mjvrj klil mfvrfcĶr vj mlrjc`l #22-#222 HℤfrfsĶcmfmĶr. ]rfcslstôrþc fcfgtfrnfhf gĶzĶ  mf ôcjhnl ilr mj$l"ajcmlr. ]rfcslstôrþc lnjtlhj vjajslhj klrhj sþrjnjrlclc tepnfhĶ  #  ºs `lvfr Ķcmf lsj, trfcslstôrþc ëfnĶ"filnj`j$l hfaslhuhdrjafcs d 8 # / ] 8 # HGz enur. %jaln 0.#4“mf trfcslstôrþc fcfgtfr enfrfa aunnfcĶnmĶ$Ķ ilr mjvrjvj yþa kjrlnlhlclc mj$l"lhl vjrlnhl"tlr.

%jaln 0.#4. ]rfcslstôrþc fcfgtfr enfrfa aunnfcĶnhfsĶ.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

:#

 $ cvjrtjr Mjvrjsl 

]rfcslstôrþc fcfgtfr enfrfa aunnfcĶnmĶ$Ķ mjvrjnjrmjc ilrl mj lcvjrtjr mjvrjslmlr. !cvjrtjr mjvrjslsfyĶsfn mjvrjnjrlc tjhjnlmlr. !cvjrtjr mjvrjslcmj klrl"j afrj mfnkf kjrlnlh uykunfcĶr. Aennjatôr lnjteprfa frfsĶcmfc fnĶcfc ëĶa Ķ"  kjrlnlhl klrl"  kjrlnlhlclc tjrslmlr. Klrl"  kjrlnlhl 2 lajc trfcslstôr ajslhmjmlr vj ëĶa Ķ"  kjrlnlhl : T“tur. Klrl"  kjrlnlhl : T lajc trfcslstôr lnjtlhj klrjr vj ëĶa Ķ"kjrlnlhl 2 enur. Mjvrj trfcslstôr lnjtlhmj lajc meyhfmf ëfnĶ"f`fa "jalnmj tfsfrnfcĶr. %jaln 0.#;“mj

trfcslstôrnþ lcvjrtjr mjvrjsl lnj klrl" vj ëĶa Ķ" kjrlnlhnjrl kôstjrlnhl"tlr.

%jaln 0.#;. ]rfcslstôrnþ lcvjrtjr mjvrjsl.

Zykunfhf "2?

%jalnmj vjrlnjc mjvrjmj trfcslstôr fcfgtfr enfrfa ëfnĶ"hfatf vj ilr nfhifyĶ aectren jthjatjmlr.Klrl" kjrlnlhl 4 T lajc nfhif yfchfatfmĶr. Nfhif 9= T“tf 92 hF kjëlrhjatjmlr.

f) 

Klrl" kjrlnlhl 4 T lajc trfcsltôrþc meyhfmf ëfnĶ"hfsĶ lëlc fa Ķh afzfc`Ķ cj enhfnĶmĶr5 i)  Nfhifyf vjrlnjc kþë lnj trfcslstôrþc klrl" kþ`þcþ gjsfpnfyĶcĶz.

Ëôzþh ?

f)  ]rfcslstôr lnjtlhmj lajc nfhif kjrlnlhl 9= T vj aennjatôr fa ĶhĶ 92 hF“mlr.

F:0#22

;.24LI   º8

∙8  

0;;92

8ιF:0

hF

]rfcslstôrþc meyhfmf ëfnĶ"filnhjsl lëlc fa Ķh afzfc`Ķ jc fz 0;; enhfnĶmĶr.

 i) 

Nfhif kþ`þ 8 9= T x 92 hF 8 =72 h[]rfcslstôrþc klrl" kþ`þ 8 4 T x :0 º F 8 2.0#7 h[Ëea aþëþa ilr klrl" kþ`þ lnj yþaþc kþ`þ aectren jmlnhjatjmlr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

:9

]rfcslstôr Aftfnek Ilnklnjrl

]rfcslstôr aftfneknfr Ķcmf ijnlrnl ilr trfcslstôrj flt ëfnĶ"hf afrfatjrlstlanjrl, pfrfhjtrj mj$jrnjrl,afrfatjrlstla j$rlnjrl, hjafclasjn ilnklnjr vj hfaslhuh ëfnĶ"hf mj$jrnjrl vjrlnlr. Ilr mjvrjmjaunnfcĶnf`fa enfc trfcslstôrþc ôc`jnlanj hfaslhuh mj$jrnjrlcj mlaaft jmlnhjnlmlr. F"f$Ķmfal]fine 0.9“mj ilr trfcslstôrþc 9: ²@ “mjal hfaslhuh mj$jrnjrl vjrlnhl"tlr. ]finemf kjrlnlh

sjhiennjrlclc if"Ķcmfal I gfrdl tjrs yôcmjal mjvrlnhj kjrlnlhlcl tjhsln jmjr.

]fine 0.9. Ilr trfcslstôrþc 9: ²@ “mjal hfaslhuh mj$jrnjrl

2JIIT Jhltjr-tfifc kjrlnlhl 4 T

2@IIT Aennjatôr tfifc kjrlnlhl 9: T

2@JIT Aennjatôr jhltjr kjrlnlhl 92 T

hfx@L Aennjatôr fa ĶhĶ 022 hF

hfxMR ]epnfh afyĶ p   #:2 h[

hfxO] Oecaslyec sĶ`fanĶ$Ķ   #:2 ²@

Zykunfhf ""?

%jalnmj vjrlnjc mjvrjnjrl ]fine 0.9“mj vjrlnjc trfcslstôrþc hfaslhuh mj$jrnjrlcl aunnfcfrfa lc`jnjylclz.

Ëôzþh?

f)  J-I oecaslyecu #2 T lnj tjrs autupnfchĶ"tĶr. Iu mj$jr 4 T enfc 2JIIT mj$jrlcmjc iþyþatþr.

]rfcslstôr tfgrlp enur. i)  Aennjatôr fa ĶhĶ :2 hF enup hfx@L mj$jrmjc aþëþatþr. Aennjatôr-jhltjr lsj kjrlnlhl : T“tur.

]rfcslstôrmj gfr`fcfc kþë @J@ TLR .8 8 :2 hF . : T 8 9:2 h[“tĶr. Kþë hfxMR mj$jrlcmjc

 iþyþa enmu$ucmfc trfcslstôr tfgrlp enur.`)  Aennjatôr-tfifc frfsĶcmfal ijsnjhj kjrlnlhl 02 T“tur. 2@IIT kjrlnlhl 9: T enmu$ucmfc

trfcslstôr iezunur.m)  Jhltjr-aennjatôr frfsĶcmfal kjrlnlh 9: T“tur. Iu kjrlnlh 92 T enfc

2@JIT kjrlnlhlcmjc

 iþyþa enmu$ucmfc trfcslstôr iezunur.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

:9

FNFC J]A !N! ]YFCP!P]ÔY

DJ] (Fnfc Jtalnl ]rfcslstôr) kjrlnlh aectrennu vj þë uënu ilr jnjhfcmĶr. DJ]“lc uënfr Ķ K (AfpĶ),

M (Mrflc) vj P (Afycfa) enfrfa tfcĶhnfcĶr. DJ]“lc yfpĶsĶ vj sjhienþ "jaln =.#“mj kôstjrlnhl$tlr.DJ]“njr f$f%Ķmfal klil 0 kruptf tepnfcfilnlr.

ODJ] (Oecaslyec DJ])-  LKDJ]( AfpĶ lzenjnl DJ])

HEPDJ] (Hjtfn easlt yfr Ķ lnjtajc DJ])

ODJ]

IO] fa Ķh aectrennu ilr jnjhfcmĶr yfcl tfifc fa ĶhĶ  lnj aennjatôr fa ĶhĶ  aectren jmlnlr. DJ] lsj

kjrlnlh aectrennu ilr jnjhfcmĶr. DJ]“lc afpĶ  (K) lnj afycfa (P) frfsĶcf uykunfcfc kjrlnlh lnj,

afcfnmfc (M lnj P frfsĶcmfc) kjëjc fa Ķh aectren jmlnlr. K-P uënfr Ķcf uykunfcfc kjrlnlh, afcfnmfc

kjëjc fa ĶhĶc yôcþcj mla enfc ilr jnjatrla fnfcĶ enu$turur. ODJ], C vjyf R afcfn enfilnlr. C afcfn

ODJ]“mj, afcfn C tlpl vj afpĶ  R tlpl ilr hfnzjhjmlr. AfpĶmfc afcfnf ilr R-C oecaslyecu

hjv`uttur. AfpĶyf uykunfcfc kjrlnlh R-C oecaslyecucu tjrs yôcmj autupnfr vj afpĶmfc ëeaaþëþa ilr sĶzĶctĶ fa ĶhĶ kjëjr. Iu cjmjcnj DJ]“njrmj klrl$ mlrjc`l ëea yþasjatlr (∾#222 Hℤ).

K lnj P uënfr Ķcf tjrs yôcmj ilr kjrlnlh uykunfcmĶ%Ķcmf, R-C oecaslyecucmf ie$nua iônkjsl enu$ur.

Ie$nua iônkjslcmj fa Ķh tf$ĶyĶ`ĶsĶ yeatur. Ie$nua iônkjsl afcfn lëlcj me%ru kjcl$njyjrja afcfnĶc

fa Ķh kjëlrjc a ĶshĶcĶ mfrfntĶr vj afcfnĶc mlrjc`lcl frttĶr Ķr. Iu muruh "jaln =.9“mj kôstjrlnhl$tlr.AfcfnĶc mlrjc`l vj afcfnmfc kjëjc fa Ķh, KPT lnj MPT “clc decaslyecumur.

"jaln =.#. ODJ] yfpĶ vj sjhiennjrl, f) C afcfn vj i) R afcfn.

"jaln =.9. C afcfn ODJ]“lc ëfnĶ$hf prjcslil.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

:0

 C afcfn DJ]“tj K lnj P uënfr Ķ frfsĶcf 2 vjyf cjkftld ilr kjrlnlh, M lnj P uënfr Ķ frfsĶcf lsj pezltld

 ilr kjrlnlh uykunfcĶr. AfpĶmfc afcfnf enfc R-C oecaslyecu tjrs yôcmj autupnfcĶr.

MPKPKM TTT   ∙8  enmu%ucf kôrj, KMT kjrlnlhl KPT “j kôrj mfgf cjkftldtlr. Iu cjmjcnj, K lnj

M frfsĶcmfal iônkjmj tjrs yôcmj autupnfcfc R-C mlyemucuc ie$nua iônkjsl mfgf kjcl$ enur.

2TKP 8   lajc MPT kjrlnlhlclc frttĶr ĶnhfsĶ  lnj C afcfn ODJ]“tj jnmj jmlnjc afrfatjrlstla "jaln

=.0“tj kôstjrlnhl$tlr. F lnj I ceatfnfr Ķ  frfsĶcmfal mlrjcë iônkjslcmj MPT “clc 2“mfc ltlifrjc

frttĶr ĶnhfsĶ lnj Ml fa ĶhĶ  MPPL mj%jrlcj afmfr frtfr. F lnj I frfsĶcmf, ie$nua iônkjslclc kjcl$nl%l

jtalnl enhfmĶ%Ķcmfc afcfnĶc mlrjc`l sfilttlr. 2TKP 8  lajc kjëjc MPPL fa ĶhĶ DJ]“lc hfaslhuh

fa ĶhĶmĶr. I ceatfsĶcmf MPT kjrlnlhl RT mj%jrlcl fnĶr. I ceatfsĶcmfc secrf, MPT kjrlnlhlclc

frtĶr ĶnhfsĶ  lnj Ml fa ĶhĶ  mj%l$hjz. @ ceatfsĶcmfc secrf MPT kjrlnlhlclc frtĶr ĶnhfsĶ, R-C

 oecaslyecucuc tjrs yôcmj mjvrlnhjslcj cjmjc enur vj Ml fa ĶhĶ  gĶznf frtfr. I lnj @ ceatfnfr Ķ 

frfsĶcmfal iônkjyj plc`g-edd iônkjsl mjclr. R-C oecaslyecucuc tjrs autupnfchfsĶ  lnj enu$fc

 ie$nua, plc`g edd iônkjslcmj afcfnĶ  tĶafr vj afcfn mlrjc`lcl frtĶr Ķr. Iucf rf%hjc afcfn fa ĶhĶ 

sfilt afnĶr. Fa ĶhĶc sfilt afnhfsĶcĶc cjmjcl, MPT kjrlnlhlclc afcfn mlrjc l̀cmjal frtĶ$Ķ 

mjckjnjhjslmlr. MPT kjrlnlhl, afycfatfc ëĶafc jnjatrecnfr Ķc tĶafnĶ  iônkjyl kjëjrja M u`ucf

unf$hfsĶcĶ  sf%nfr. I ceatfsĶcmfal MPT kjrlnlhlcj RT plc`g-edd kjrlnlhl mjclr. DJ]“lc RT

mj%jrl, IO]“mj ι “cĶc afr $ĶnĶ%ĶmĶr.

"jaln =.0. 2TKP 8  lajc C afcfn ODJ]“lc afrfatjrlstla j%rlsl.

KPT vj MPT kjrlnlhnjrl mj%l$tlrlnml%lcmj, C afcfn ODJ]“tj Ml fa Ķ

c mj%l$lhl "jaln =.=“tjvjrlnhl$tlr. DJ]“lc ajslh iônkjslcmj KPT  kjrlnlhl RT∙ “yj j$lt enur. Iu muruhmf ie$nua iônkjsl

afcfnĶ  tfhfhjc tĶafr vj afcfn mlrjc`l ëea iþyþatþr. MPT   kjrlnlhlclc frtĶr ĶnhfsĶ  lnj (tjrs

mjvrlnhjyj afmfr) afcfnmfc fa Ķh kjëjhjz. 2TKP 8  lajc, MPT  kjrlnlhl RT mj%jrlcl fnmĶ%Ķcmf

DJ]“lc fa ĶhĶ  MPPL mj%jrlcl fnĶr. Iu jscfmf K lnj M uënfr Ķ  frfsĶcmfal R-C oecaslyecu, RT∙  

kjrlnlhl lnj tjrs yôcmj autupnfcĶr vj K lnj M frfsĶcmfal ie$nua iônkjsl afcfnĶ tĶafr. RKM TT   ∙8  

muruhu plc`g-edd iônkjslclc if$nfckĶ`ĶmĶr. KPT cjkftld ilr kjrlnlh vj MPT kjrlnlhl RT

mj%jrlcmjc aþëþa lajc RKM TT   ∙8  $frtĶ sf%nfcmĶ%Ķcmf, K-M frfsĶcmfal afcfn tĶafcĶr vj plc`g

edd iônkjslcmj ëfnĶ$hf kjrëjanj$lr. Iu muruhmf MPT aþëþa enmu%ucmfc Ml fa ĶhĶ mf MPPL “tjc

aþëþatþr. MPT “lc plc`g edd mj%jrl KPR)R(MP TTT   +8  $janlcmj gjsfpnfcĶr. "jaln =.= vj =.:“tj

DJ]“lc afrfatjrlstla j%rlnjrl vj ëfnĶ$hf iônkjnjrl kôstjrlnhl$tlr.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

:=

"jaln =.=. C afcfn ODJ]“lc afrfatjrlstla j%rlnjrl.

"jaln =.:. C afcfn ODJ]“lc ëfnĶ$hf iônkjnjrl.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

::

Zykunfhf 6?

"jalnmj vjrlnjc DJ]“tj T7TR  8  vj

hF#9LMPP 8 “mlr.

f) 

KPT kjrlnlhl ‐: T lsj, plc`g-edd“uc if$nfmĶ

 MPT kjrlnlhlcl iunucuz.

 i)  MMT kjrlnlhl #9 T, MPT plc`g- edd kjrlnlhlcmjc

 iþyþa vj afpĶ u`u teprf%f if%nĶ lsj ML fa ĶhĶcĶ 

gjsfpnfyĶcĶz.

`)  KPT kjrlnlhl ‐  #2 T lajc ML fa ĶhĶ cj enur 5

Ëôzþh ?

f)  KPR)R(MP TTT   +8  8 7 + (-:) 8 0 T

 i) 

2TKP  8  vj MPT plc`g- edd kjrlnlhlcmjc iþyþa lsj, ML 8 MPPL 8 #9 hF enur.

`) 

ODJ] ajslhmjmlr vj 2LM  8  enur.

ODJ]“lc ]rfcsdjr Afrfatjrlstl"l

 C afcfn DJ]“tj KPT kjrlnlhl, 2 lnj -  pT frfsĶcmf mj%l$tlrlnjrja ML fa ĶhĶ aectren jmlnlr. R afcfn

DJ]“tj lsj ML fa ĶhĶcĶc aectrenu lëlc KPT kjrlnlhl 2 lnj  pT frfsĶcmf mj%l$tlrlnlr. Ajslhmjal

KPT mj%jrlcj )edd (KPT mf mjclr. )edd (KPT lnj  pT hutnfa mj%jr enfrfa ilrilrlcj j$lttlr.

Aftfneknfr Ķc ëe%ucmf sfmj`j )edd (KPT mj%jrl vjrlnlr. Iu mj%jr #2 cF klil ëea aþëþa ilr fa Ķhmf

tfcĶhnfcĶr. KPT kjrlnlhl lnj ML fa ĶhĶ frfsĶcmfal lnl$al f$f%Ķmfal j$ltnlatj vjrlnhl$tlr. Iu j$ltnl%j

kôrj, KPT kjrlnlhl lnj ML fa ĶhĶ  frfsĶcmfal lnl$al, yfcl trfcsdjr afrfatjrlstl%l pfrfienla ilr

mj%l$lh kôstjrlr. C afcfn DJ]“lc trfcsdjr afrfatjrlstl%l "jaln =.4“mf kôstjrlnhl$tlr.

9

)edd (KP

KPMPPM

T

T#LL

∙8  

)edd (KPKP TT   8   ⇙  2LM  8  

2TKP 8   ⇙  MPPM LL   8  

"jaln =.4. C afcfn ODJ]“lc trfcsdjr afrfatjrlstl%l.

Zykunfhf 9?

 C afcfn ilr ODJ]“tj T7T )edd (KP  ∙8  vj hF#2LMPP 8 “mlr. T4-vjT=-9T,-T,2TKP 8  lëlc

Ml fa ĶhĶcĶ gjsfpnfyfrfa trfcsdjr afrfatjrlstl%lcl ëlzlclz.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

:4

Ëôzþh?

2TKP 8  ⇙  hF#2LL MPPM   88  

T7TKP  ∙8   ⇙  2LM 8  

9

)edd (KP

KPMPPM

T

T#LL

∙8  

T9TKP  ∙8  ⇙  hF7-

9--#hF 49:.:#2L

9

M   8

8  

T=TKP  ∙8  ⇙  hF7-

=--#hF :.9#2L

9

M   8

8  

T4TKP  ∙8  ⇙  hF7-

4--#hF 49:.2#2L

9

M   8

8  

 ! njrl \ôc Kjël "  ! njtajcnl  # l

DJ]“mj lnjrl yôc kjël$ lnjtajcnl%l hk , MPT kjrlnlhl sfilt lajc, ML fa ĶhĶcmfal mj%l$lhlc KPT

kjrlnlhlcmjal mj%l$lhj erfcĶ enfrfa tfcĶhnfcĶr. DJ]“lc trfcsdjr afrfatjrlstl%l nlcjjr enhfmĶ%Ķ lëlc

hk ëfnĶ$hf ceatfsĶcf if%nĶ  enfrfa mj%l$lr. "jaln =.;“mj dfranĶ  ëfnĶ$hf ceatfnfr Ķcmf hk “lc

 iunuchfsĶ kôstjrlnhl$tlr.

"jaln =.;. C afcfn ODJ]“tj dfranĶ ëfnĶ$hf ceatfnfr Ķcmfal hk .

KPT 8 2 lajc hk mj%jrl 2hk enfrfa tfcĶhnfcĶr. Gjrgfckl ilr ceatfmfal hk mj%jrl, 2hk “f kôrj

f$f%Ķmfal j$ltnlanj gjsfpnfcĶr.

∙8

)edd (KP

KP2hh

T

T#kk

Zykunfhf 0?

T7T )edd (KP  ∙8 , hF92LMPP 8   vj s=222k 2h   º8   enfc ODJ]“lc T-=8KPT lëlc lnjrl yôc

kjël$ lnjtajcnl%lcl iunucuz

Ëôzþh?

sº8

∙∙

∙8

∙8 9222

=

7#=222

T

T#kk

)edd (KP

KP2hh  

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

:;

ODJ]“lc autupnfchfsĶ 

ODJ]“mj autupnfhfcĶc fhf`Ķ uykuc ilr KPT kjrlnlhl lnj lstjclnjc ML fa ĶhĶcĶ sf%nfhfatĶr.

"jaln =.7 ODJ]“lc autupnfchfsĶ.

KT kjrlnlhl sĶzĶctĶ  fa ĶhĶ  ëea aþëþa

enmu%ucmfc 2 afiun jmlnlr.

PMPKKP Y L2TTT   ∙8∙8  

PMKP Y LT   ∙8  

MMMMM Y LTT   ∙8  

PMMP TTT   ∙8  

PMP Y LT   8  

)Y Y (LTT PMMMMMP   +∙8  

Zykunfhf =?

"jaln =.7“mj vjrlnjc mjvrjmj ℤ8 a #Y M , ℤ8  :22Y P , T#2TMM 8   vj hF:LM  8   enfrfa

vjrlnhl$tlr. MPT vj KPT “yl gjsfpnfyĶcĶz.

Ëôzþh?

T:22hF x :.9:Y LT PMP   8ℤ88  

2TK  8  enmu%ucf kôrj,T:.9TTT PKKP   ∙8∙8  iunucur.

T:a #hF x: -T 8ℤ8∙8   #2Y LTT MMMMM  

T9.:T9.:-T 88∙8 :TTT PMMP  iunucur.

Zykunfhf :?

T#2T )edd (KP  ∙8 , hF9:LMPP 8   enfc C afcfn ODJ]“tj T:TKP   ∙8 “tur. PY mlrjc`lclc

mj%jrlcl gjsfpnfyĶ

z.

Ëôzþh?

9

)edd (KP

KPMPPM

T

T#LL

∙8 hF

#2-

:--#hF 9:.49:

9

8

8  

PKKP TTT   ∙8  

2TK  8  enmu%ucf kôrj,

PMKP Y LT   ∙8  

ℤ888  hF

T722

9:.4

:

L

TY 

M

KPs  iunucur.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

:7

HEPDJ] (Hjtfn Easlt \frĶ !njtajc DJ])

HEPDJ]“mj afpĶ  lnj afcfn frfsĶcmf ODJ]“mjal klil ilr R-C oecaslyecu yeatur. HEPDJ]“lc

afpĶsĶ  slnlsyuh mleaslt (PlE9) tfifafsĶ  lnj afcfnmfc lzenj jmlnhl$tlr. !al tjhjn HEPDJ]

hjv`uttur.

-  MJ HEPDJ]

J HEPDJ]

MJ HEPDJ]

MJ HEPDJ]“lc tjhjn yfpĶsĶ  "jaln =.<“mf kôstjrlnhl$tlr. MJ HEPDJ]“tj M vj P fntafthfc

hfnzjhj þzjrlcj afta Ķnfcfrfa, afpĶyf aeh$u enfc mfr ilr afcfn lnj ilrilrlcj if%nfchĶ$tĶr. MJ

HEPDJ] C afcfn vj R afcfn enfilnlr. Iurfmf sfmj`j C afcfnnĶ MJ HEPDJ] lc`jnjcj`jatlr. R

afcfnnĶ MJ HEPDJ]“tj kjrlnlh yôcnjrl tjrstlr dfaft ëfnĶ$hf prjcslpnjrl fycĶmĶr.

"jaln =.< MJ HEPDJ]“lc tjhjn yfpĶ vj sjhienþ f) C afcfn vj i) R afcfn.

AfpĶ afcfnmfc lzenj enmu%u lëlc afpĶyf cjkftld vjyf pezltld kjrlnlh uykunfcfilnlr. MJ HEPDJ]

afpĶsĶcf cjkftld kjrlnlh uykunfcĶrsf Fzfnthf (Mjpnjtlec), pezltld kjrlnlh uykunfcĶrsf FrttĶrhf

(Jcgf`jhjct) hemucmf ëfnĶ$Ķr. MJ HEPDJ]“tj afpĶ vj afcfn ilr afpfsltjclc lal pfrfnjn pnfafsĶ 

vj PlE9 tfifafsĶ ilr mljnjatrla hfnzjhj klilmlr.

"jaln =.#2. C afcfn MJ HEPDJ]“lc ëfnĶ$hfsĶ.

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

:<

 Cjkftld ilr afpĶ kjrlnlhl uykunfcmĶ%Ķcmf, R hfnzjhjslcmjal mjnlanjr C afcfnf me%ru ëjalnlr vj

jnjatrecnfr afcfnmfc uzfanf$Ķr. Iu jnjatrecnfr Ķc yjrlcj pezltld lyecnfr enu$ur vj C afcfnmfal

sjrijst jnjatrecnfr fzfnĶr. Iu muruhmf afcfn mlrjc`l frtfr vj afcfn fa ĶhĶ fzfnĶr ("jaln =.#2(f) ).

Rezltld ilr afpĶ kjrlnlhl uykunfcmĶ%Ķcmf, jnjatrecnfr afcfnf me%ru ëjalnlr vj R hfnzjhjslcmjal

mjnlanjr uzfanf$tĶr ĶnĶr. Iôynj`j afcfnmf mfgf ëea sjrijst jnjatrec enur. Iu muruhmf afcfn mlrjc`l

fzfnĶr vj afcfn fa ĶhĶ frtfr ("jaln =.#2(i) ).

MJ HEPDJ]“lc trfcsdjr afrfatjrlstl%l "jaln =.##“mj kôstjrlnhl$tlr.

"jaln =.##. C vj R afcfn MJ HEPDJ]“lc trfcsdjr afrfatjrlstlanjrl.

J HEPDJ]

J HEPDJ]“lc yfpĶ vj sjhienþ "jaln =.#9“mj kôstjrlnhl$tlr. Iu HEPDJ]“tj dlzlasjn ilr afcfn

yeatur. C afcfn J HEPDJ]“tj afpĶyf uykunfcfc kjrlnlh j$la mj%jrlcmj, PlE9 tfifafsĶcf aeh$uenfc R hfnzjhjslcmj lc`j ilr cjkftld yþa tfifafsĶ vj ilr afcfn enu$turur. J$la kjrlnlhlclc fntĶcmf

 ilr afcfn enu$hfz. AfpĶ  afycfa frfsĶcmfal pezltld kjrlnlh frttĶr ĶnmĶ%Ķcmf afcfnf mfgf ëea

jnjatrec ëjalnlr vj afcfnĶc lnjtajcnl%l frtfr. C afcfn J HEPDJ]“lc ëfnĶ$hf prjcslil "jaln =.#0“tj

kôstjrlnhl$tlr.

(f) (i)

"jaln =.#9 J HEPDJ]“lc tjhjn yfpĶ vj sjhienþ f) R afcfn vj i) R afcfn.

J HEPDJ] yfncĶz afcfn frttĶrhf lnj aunnfcĶnĶr. C afcfnnĶ  ilr J HEPDJ] pezltld afpĶ afycfakjrlnlhl lnj ëfnĶ$Ķr. R afcfnnĶ  tþrþcmj lsj cjkftld afpĶ  afycfa kjrlnlhl kjrjalr. "jaln =.#=“tj

kôstjrlnml%l klil J HEPDJ]“lc trfcsdjr afrfatjrlstl%lcmj 2TKP 8  lajc ilr fa Ķh kjëhjz. \fcl

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

42

J HEPDJ]“tj, ODJ] vj MJ HEPDJ]“tjal klil MPPL pfrfhjtrjsl yeatur. KPT kjrlnlhl )tg(KPT

j$la kjrlnlhlcj unf$fcf afmfr ML fa ĶhĶ sĶd ĶrmĶr. J HEPDJ]“lc trfcsdjr afrfatjrlstl%lclc j$ltnl%l

f$f%Ķmf vjrlnhl$tlr. HEPDJ]“lc A sfiltl KPT “clc ijnlrnl ilr mj%jrl lëlc vjrlnjc )ec(ML fa ĶhĶ 

lëlc aftfnekmf vjrlnlr.

Q X9)tg(KPM TA L   ∙8 KPT

"jaln =.#0. C afcfn J HEPDJ]“lc ëfnĶ$hfsĶ.

"jaln =.#=. C vj R afcfn J HEPDJ]“lc trfcsdjr afrfatjrlstlanjrl.

Zykunfhf ? 4

T#2TKP 8   lëlc )ec(ML 80 hF enfc J HEPDJ]“lc T)( :T tgKP   8  vjrlnhl$tlr. T7TKP 8 lëlc

ML fa ĶhĶcĶ gjsfpnfyĶcĶz.

Ëôzþh?

9

99)(

)(ThF /.

T

hF

:)-(#2

hF

XQ#92

9:

00

TT

LA 

9tgKPKP

ecM 888∙

8  

A sfiltl aunnfcĶnfrfa T7TKP 8 lëlc ML fa ĶhĶ gjsfpnfcĶr.

Q X9)tg(KPM TA L   ∙8 KPT 82.#9 x ( 7 ‐ : )9 8 #.27 hF

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FCFNEK JNJA]YEC!A \.Meë.Mr.F.Dfrua IFAFC

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88