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Anoop Report

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 P}ums ia O}gip~betc` I~}c`oh @bolleh Eaae`}p il U~hclf olm Mizlhclf Po}ehhc}e @iggulc`o}cilp  O mcppet}o}cil pudgc}}em cl ~ot}coh auhachhgel} ia  }be tequctegel}p ait }be ozotm ia mejtee ia  GOP]ET IA ]E@BLIHIJS CL I^]IEHE@]TILC@P ! I^]C@OH @IGGULC@O]CIL Pudgc}}em ds OLII^ FUGOT "4>>5KI^0?:2# Ulmet }be jucmol`e ia  ^tia, Q,F,Kocl Me~ot}gel} ia Ehe`}tc`oh Eljcleetclj Clmcol Clp}c}u}e ia ]e`blihijs Mehbc Gos 4>>:
Transcript
Page 1: Anoop Report

8/9/2019 Anoop Report

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P}ums ia O}gip~betc` I~}c`oh @bolleh Eaae`}p

il U~hclf olm Mizlhclf Po}ehhc}e

@iggulc`o}cilp

 O mcppet}o}cil pudgc}}em cl ~ot}coh auhachhgel} ia  }be tequctegel}p ait }be ozotm ia mejtee ia  

GOP]ET IA ]E@BLIHIJS

CL

I^]IEHE@]TILC@P ! I^]C@OH @IGGULC@O]CIL

Pudgc}}em ds 

OLII^ FUGOT 

"4>>5KI^0?:2#

Ulmet }be jucmol`e ia  

^tia, Q,F,Kocl

Me~ot}gel} ia Ehe`}tc`oh Eljcleetclj

Clmcol Clp}c}u}e ia ]e`blihijs Mehbc

Gos 4>>:

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@ET]CAC@O]E 

]bcp cp }i `et}cas }bo} }be mcppet}o}cil }c}hem ‘P}ums ia O}gip~betc` I~}c`oh

@bolleh Eaae`}p il U~hclf olm Mizlhclf Po}ehhc}e @iggulc`o}cilp‗ pudgc}}em ds

Olii~ Fugot "4>>5KI^0?:2# ait }be ~ot}coh auhachhgel} ia tequctegel} ait }be mejtee ia 

Gop}et ia ]e`blihijs cl I~}iehe`}tilc`p ! I~}c`oh @iggulc`o}cil cp o diloacme zitf 

mile ds bcg ulmet gs jucmol`e,

]bcp zitf bop li} deel pudgc}}em cl ols i}bet Ulcetpc}s it Clp}c}u}cil ait }be

ozotm ia ols mejtee it mc~higo,

^tia,®Q,F,Kocl®^tike`} Pu~etcpit(

Me~ot}gel} ia Ehe`}tc`oh Eljcleetclj(

Clmcol Clp}c}u}e ia ]e`blihijs( Mehbc

c

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 O@FLIZHEMJEGEL]P 

C} cp o ~tccheje ait ge }i er~tepp gs ~tiaiulm jto}c}ume olm clmed}emlepp }i gs

pu~etcpit ^tia, Q,F,Kocl ait jcclj ge clp~cto}cil( jucmol`e( ohuodhe pujjep}cilp olm

`ilp}ol} el`iutojegel} ait `ig~he}clj }bcp zitf,

C }ofe }be i~~it}ulc}s }i o`flizhemje gs tejotmp olm mee~ pelpe ia jto}c}ume }i

ohh gs }eo`betp ia di}b ^bspc`p olm Ehe`}tc`oh Eljcleetclj Me~ot}gel}p ait }bect ohuodhe

pujjep}cilp( elmhepp el`iutojegel} olm petciup o}}el}cil mutclj }be }elute ia zitf,

C og }bolfauh }i ohh }be gegdetp ia I~}c`oh @iggulc`o}cil Hod ait }bect 

`ii~eto}cil mutclj }be el}cte zitf, C og ohpi jto}eauh }i ohh gs do}`b'go}ep olm atcelmp

ait }be beh~ ~ticmem ds }beg o} otciup p}ojep ia }be ~tike`},

Hop} du} li} }be heop} C ziuhm hcfe }i }bolf gs aogchs gegdetp ait }bect oaae`}cil olm

`il}cluoh el`iutojegel},

®Olii~®Fugot®G,]e`b "I~}iehe`}tilc`p ! I~}c`oh @iggulc`o}cil#

Clmcol Clp}c}u}e ia ]e`blihijs( Mehbc

Bou{ Fbop( Lez Mehbc'??>>?1( Clmco,

cc

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 ODP]TO@]

Po}ehhc}e'}i'po}ehhc}e `iggulc`o}cil hclfp o} i~}c`oh zoehelj}b cl }be atee'p~o`e

cp ohteoms ep}odhcpbem, Pu`b o hclf bop ets bcjb dolmzcm}b zbc`b ~ticmep bcjb mo}o to}e

olm bop li tomco}cil bo{otmp, O}gip~betc` i~}c`oh hclfp de}zeel ol eot}b p}o}cil olm hiz'

eot}b itdc} po}ehhc}e ote cl }be tepeot`b olm meehi~gel} p}oje,

]be ~tike`}–p ocg cp ai`up il }be p}ums ia o}gip~betc` eaae`}p il i~}c`oh deog op

c} ~ti~ojo}ep }btiujb }be o}gip~bete( ait ep}odhcpbclj eot}b'}i'po}ehhc}e "u~hclf# olm

po}ehhc}e'}i'eot}b "mizlhclf# `iggulc`o}cil, ]bepe hclfp ote cg~it}ol} op }bepe zchh

ao`chc}o}e }be ep}odhcpbgel} ia ohh'i~}c`oh hclfp "eot}b'}i'po}ehhc}e( po}ehhc}e'}i'po}ehhc}e( olm

po}ehhc}e'}i'eot}b#, ]bcp ~tike`} clihep p}ums ia o}gip~betc` hippep hcfe odpit~}cil olm

p`o}}etclj( o}gip~betc` }utduhel`e eaae`}p il }be hopet deog( gimehclj olm pcguho}cil ia 

i~}c`oh `bolleh( mcaaetel} gimuho}cil p`begep( olm i}bet ge}bimp }i gc}cjo}e }be odie

eaae`}p, Ait }bcp( mcaaetel} gimehp zbc`b mep`tcde o}gip~betc` }utduhel`e ote p}umcem olm

`bolleh gimeh dope il Fihgijit–p }beits cp upem, C} cp idpetem }bo} Bualojeh'Qohhes

Diulmots "BQD# gimeh zitfp po}cpao`}its ait zeof }utduhel`e olm eaae`} ia }utduhel`e

cp gu`b gite il mizlhclf }bol u~hclf, Upclj }bcp `bolleh gimeh( otciup gimuho}cil

p`begep pu`b op IIF cl}elpc}s( pud`ottcet D^PF olm pud`ottcet _^PF cl}elpc}s

gimuho}cil p`begep ote p}umcem olm pcguho}em cl o}gip~betc` elctilgel} ait }bect 

 ~etaitgol`ep cl }etgp ia DET ait mcaaetel} PLTp, ]i temu`e }be o}gip~betc` }utduhel`e(

o~et}ute oetojclj ge}bim ait mcaaetel} gimuho}cil p`bege ote p}umcem olm pcguho}em cl

o}gip~betc` elctilgel} ait }bect ~etaitgol`ep cl }be poge gollet, C} cp aiulm }bo}

IIF pcjlohclj p`bege cp gip} oaae`}em mue }i o}gip~betc` }utduhel`e olm zc}b o~et}ute

oetojclj ge}bim cg~tiegel} cl c}p ~etaitgol`e cp ohpi bcjbet op `ig~otem }i

pud`ottcet D^PF olm pud`ottcet _^PF cl}elpc}s gimuho}cil p`begep, ]bcp ~tike`} ohpi

clihep p}ums olm `oh`uho}cil ia gclcgug tequctem ~izet ait ep}odhcpbclj o hclf 

 de}zeel jtiulm }i hiz eot}b itdc} po}ehhc}e "HEI# olm c`e etpo, Ait }bcp( o hclf helj}b ia 

=>> fg de}zeel jtiulm }i HEI cp }ofel olm mcaaetel} licpep cl`humclj do`fjtiulm licpe

ote cl`it~ito}em cl }be hclf ~izet dumje}clj, 

ccc

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@et}cac`o}e

 O`flizhemjegel}  Odp}to`} 

 Hcp} ia Acjutep

 Hcp} ia ]odhep

@il}el}p

@bo~}et ? CL]TIMU@]CIL ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, ?

?,? Dopc` P`bege,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 4?,4 ]tolpgc}}et,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 4

?,0 ]tolpgc}}et Ol}ello ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 0

?,= O}gip~betc` I~}c`oh @bolleh,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 0?,=,? O}gip~betc` Hippep ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 0

?,=,4 O}gip~betc` ]utduhel`e,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 5

?,5 Te`ecet Ol}ello,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 1?,1 Te`ecet ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, :?,: Gokit @bohheljep ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, :

?,2 ^tike`} P`i~e ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, :

 

@bo~}et 4 @BOLLEH GIMEHCLJ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 3

4,? Cl}timu`}cil,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 3

4,4 Upeauh @bolleh ^otoge}etp,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 34,0 Gimehp ait }be P}tu`}ute @ilp}ol} ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, ?>

4,= Gimehclj Equo}cilp ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, ??4,=,? P}olmotm Meco}cil ia Hij'og~hc}ume Ahu`}uo}cil ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, ?4

4,5 Pcguho}cil Tepuh}p olm Mcp`uppcil,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, ?0

 

@bo~}et 0 O]GIP^BETC@ ]UTDUHEL@E OLM GIMUHO]CIL P@BEGEP,, ?:

0,? Cl}timu`}cil,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, ?:

0,4 Hij'litgoh P`cl}chho}cil,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, ?2

0,0 @oh`uho}cil ia ^tidodchc}s ia Ettit cl O}gip~betc` Elctilgel},,,,,,,,,,,,,,,,,,,,,,,, ?30,0,? IIF Cl}elpc}s Gimuho}cil P`bege,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, ?3

0,0,4 Pud`ottcet ^PF Cl}elpc}s Gimuho}cil P`bege ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 44

0,= Pcguho}cil Tepuh}p olm Mcp`uppcil,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 4= 

@bo~}et = I^]C@OH P@CL]CHHO]CIL OLM O^ET]UTE OQETOJCLJ ,,,,,,,,,, 0?=,? Cl}timu`}cil,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 0?

=,4 O~et}ute Oetojclj Ao`}it ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 04=,0 O~et}ute Oetojclj olm Gimuho}cil p`begep ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 05

=,0,? IIF Cl}elpc}s Gimuho}cil P`bege,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 05=,0,4 Pud`ottcet D^PF Cl}elpc}s Gimuho}cil P`bege,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 01

=,0,0 Pud`ottcet _^PF Cl}elpc}s Gimuho}cil P`bege ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 01

=,= ]tolp`ecet Pe}u~ ait O~et}ute Oetojclj,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 01

c

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=,5 Pcguho}cil Tepuh}p olm Mcp`uppcil,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 02

 

@bo~}et 5 HCLF ^ETAITGOL@E ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, =1

5,? Licpe Gimeh,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, =1

5,4 Pcjloh'}i'licpe To}ci ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, =2

5,0 Hclf Dumje} ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, =35,0 Pcguho}cil Tepuh}p olm Mcp`uppcil,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 5>

 

@bo~}et 1 @IL@HUPCIL OLM AU]UTE P@I^E IA ]BE ̂ TIKE@] ,,,,,,,,,,,,,,,, 50

1,? @il`hupcilp,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 50

1,4 Au}ute P`i~e ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 55

Dcdhcijto~bs

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Hcp} ia Acjutep

?,?  Hopet `iggulc`o}cil de}zeel }be po}ehhc}e olm }be jtiulm p}o}cil‡‡‡‡‡,,,

?,4  Dhi`f mcojtog ia ol u~hclf olm mizlhclf po}ehhc}e `iggulc`o}cil psp}eg‡‡,,

?

?,0  Atee p~o`e hipp‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡

4

?,=  Qotco}cil ia o}}eluo}cil `ieaac`cel} zc}b mcaaetel} oetipihp olm jopep‡‡‡,,,,,,

0

4,?  Qotco}cil ia }utduhel`e p}telj}b zc}b oh}c}ume‡‡‡‡‡‡‡‡‡‡‡‡‡,,,,,,,

4,4  Qotco}cil ia }utduhel`e p}telj}b zc}b oh}c}ume‡‡‡‡‡‡‡‡‡‡‡‡,,,,,,,,,,

4,0  Qotco}cil ia }utduhel`e p}telj}b zc}b oh}c}ume‡‡‡‡‡‡‡‡‡‡‡‡,,,,,,,,,,

4,=  Qotco}cil ia p}olmotm meco}cil ia hij og~hc}ume ahu`}uo}cil zc}b oh}c}ume‡,,,,,,,,,,

0,?  Qotco}cil ia DET zc}b PLT cl o}gip~betc` elctilgel} ait mcaaetel} ohuep ia 

aomclj‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡,‡

0,4  Qotco}cil ia DET zc}b PLT cl o}gip~betc` elctilgel} ait mcaaetel} heehp ia 

aomclj‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡,‡

0,0  Qotco}cil ia DET zc}b PLT cl o}gip~betc` elctilgel} ait mcaaetel} heehp ia 

aomclj‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡,

0,=  @ig~otcpil ia IIF zc}b pud`ottcet D^PF olm _^PF cl}elpc}s gimuho}cil ait 

mcaaetel} aomclj p}telj}b‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡

=,?  P`bego}c` ia i~}c`oh hosiu} ia jtiulm equc~gel}‡‡‡‡‡‡‡‡‡‡‡‡,,‡

=,4  P`bego}c` ia i~}c`oh hosiu} ia po}ehhc}e'ditle equc~gel}‡‡‡‡‡‡‡‡‡,,‡

=,0  Qotco}cil ia DET zc}b PLT cl o}gip~betc` elctilgel} zc}b olm zc}biu}

o~et}ute oetojclj‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡,

=,=  Qotco}cil ia DET zc}b PLT cl o}gip~betc` elctilgel} zc}b olm zc}biu}

o~et}ute oetojclj‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡,

=,5  Qotco}cil ia DET zc}b PLT cl o}gip~betc` elctilgel} zc}b olm zc}biu}

o~et}ute oetojclj‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡,,,

=,1  @ig~otcpil ia IIF zc}b pud`ottcet D^PF olm _^PF cl}elpc}s gimuho}cil o}

aomclj p}telj}b πr47>,5 ait mcaaetel} o~et}ute mcoge}etp‡‡‡‡‡‡‡‡‡‡,,

5,?  Qotco}cil ia DET zc}b gclcgug tequctem oetoje ~izet cl mDg zc}biu}

aomclj,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

?=

?=

4=

45

43

0:

02

03

=?

=4

=5

5?

?0

5

?5

41

c

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Hcp} ia ]odhep

?,?  Mcaaetel} oetipih }s~ep( cpcdchc}s olm o}}eluo}cil‡‡‡‡‡‡‡‡‡‡‡‡,,‡,,

5,?  Hclf dumje} ait u~hclf olm mizlhclf po}ehhc}e ̀ iggulc`o}cil zc}b o~et}ute oetojclj

psp}eg o} 5>> Gd~p mo}o to}e ait ‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡‡,‡,, 

5

540?>∔7 DET

 

cc

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@bo~}et ?

CL]TIMU@]CIL

Cl }be `iggulc`o}cil zithm( i~}c`oh zctehepp `iggulc`o}cil "IZ@# cp }be ilhs

oteo }bo} tegoclp }i de `ig~tebelpcehs tepeot`bem, C} upep hcjb} deogp ~ti~ojo}em

}btiujb }be o}gip~bete it p~o`e }i `otts claitgo}cil, Po}ehhc}e'}i'po}ehhc}e

`iggulc`o}cil hclfp o} i~}c`oh zoehelj}b cl }be atee'p~o`e cp ohteoms ep}odhcpbem, Pu`b

o hclf bop ets bcjb dolmzcm}b zbc`b ~ticmep bcjb mo}o to}e olm bop li tomco}cil

bo{otmp, O}gip~betc` i~}c`oh hclfp de}zeel ol eot}b p}o}cil olm hiz'eot}b itdc} po}ehhc}e

"op pbizl cl Acj, ?,?# ote cl }be tepeot`b olm meehi~gel} p}oje,

Acj,?,? Hopet `iggulc`o}cil de}zeel }be po}ehhc}e olm }be jtiulm p}o}cil V?W,

?

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?,?  Dopc` P`bege 

]bete ote }btee fes aul`}ciloh ehegel}p ia ol u~hclf olm mizlhclf po}ehhc}e

`iggulc`o}cil psp}eg "op pbizl cl Acj,?,4#; }be }tolpgc}}et( }be o}gip~betc` `bolleh(

olm }be te`ecet V4W,

Acj,?,4 Dhi`f mcojtog ia ol u~hclf olm mizlhclf po}ehhc}e `iggulc`o}cil psp}eg 

?,4 ]tolpgc}}et 

]be }tolpgc}}et `ilet}p }be ehe`}tilc` pcjloh cl}i hcjb}, ]be }tolpgc}}et cl`humep o

gimuho}it( o hopet mtcet( o HEM it hopet( olm o }tolpgc}}et ol}ello "}ehep`i~e#, ]be

gimuho}it `ilet}p dc}p ia claitgo}cil cl}i pcjlohp cl o``itmol`e zc}b }be `bipel

gimuho}cil ge}bim, ]be mtcet ~ticmep }be ~izet ait }be hopet olm p}odchc{ep c}p

  ~etaitgol`e6 c} ohpi leu}tohc{ep pu`b eaae`}p op }eg~eto}ute olm ojeclj ia }be hopet it 

HEM, ]be hcjb} piut`e `ilet}p }be ehe`}tc`oh pcjloh cl}i i~}c` pcjloh, ]be }ehep`i~e ohcjlp

}be hopet)HEM tomco}cil }i o `ihhcgo}em deog olm mcte`}p c} }i }be te`ecet V4W,

44

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?,0 ]tolpgc}}et Ol}ello

]be }ehep`i~e cl }be }tolpgc}}et cp ohpi `ohhem }be deog er~olmet, O deog

er~olmet cl }be }tolpgc}}et dtiomelp }be deog }i temu`e deog dhi`foje atig idke`}p cl

}be oct "ahcep( dctmp( tocl mti~p( e}`,#( }i gc}cjo}e }utduhel`ep( olm }i temu`e }be mcetjel`e

oljhe, ]be iu}~u} ia hopet }tolpgc}}et cp ia}el `ihhcgo}em ds o }tolpgc}}et i~}c`oh ol}ello

}i temu`e }be deog mcetjel`e, Deog mcetjel`e( ds }be ~tcl`c~he ia mcaato`}cil( cp

cletpehs ~ti~it}ciloh }i }be ol}ello o~et}ute mcoge}et, Bel`e( hotjet }be ol}ello

pgohhet cp }be }tolpgc}}et deogzcm}b, ]be }tolpgc}}et ol}ello pbiuhm ohzosp de mepcjlem

op `hipe }i }be mcaato`}cil hcgc} op ~ippcdhe pcl`e }bcp tepuh}p cl }be pgohhep} pc{e ol}ello,

O} o hilj zoehelj}b elm ia }be i~}c`oh p~e`}tug( }bcp ep}odhcpbep o hcgc} ia odiu} ?>

ge}etp ait }be }tolpgc}}et o~et}ute mcoge}et olm o} pbit} zoehelj}b elm ia }be p~e`}tug

}be gorcgug o~et}ute mcoge}et cp odiu} 5> `g V=W,

?,= O}gip~betc` I~}c`oh @bolleh

]be `iggulc`o}cil `bolleh ia }be u~hclf olm mizlhclf po}ehhc}e `iggulc`o}cil

psp}eg cp }be o}gip~bete( zbc`b gos `bolje c}p `boto`}etcp}c`p "jcel cl me`cdehp# ds

gite }bol }zi itmetp ia gojlc}ume ~et fchige}et( me~elmclj il zeo}bet `ilmc}cilp,

]bepe `boljep ote `oupem ds ~izet o}}eluo}cil( odpit~}cil( }cge migocl zcmelclj(

p~o}coh migocl zcmelclj( tolmig ~ihotc{o}cil( deog zolmetclj( olm p`cl}chho}cil mue }i

}utduhel`e olm guh}cp`o}}etclj eaae`}p, ]be o}gip~betc` `bolleh ohpi `il}tcdu}ep

ommc}ciloh do`fjtiulm licpe }i }be te`ecet V0W,

?,=,?  O}gip~betc` Hippep 

"c# Atee P~o`e Hipp

Atee p~o`e hipp meaclep }be ~ti~it}cil ia i~}c`oh ~izet ottcclj o} }be te`ecet 

}bo} cp upeauhhs `o~}utem zc}bcl }be te`ecet–p o~et}ute op pbizl cl }be Acj, "?,0#,

Acj,?,0 Atee p~o`e hipp

0

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"cc# Oetipih Odpit~}cil hipp

]be o}gip~bete cp o gcr}ute ia jopep olm oetipihp }bo} clahuel`ep hcjb}

  ~ti~ojo}cil ds odpit~}cil olm p`o}}etclj eaae`}p "op pbizl cl acjute ?,=#, ]be gip}

pcjlcac`ol} jopep ote L4I( @I( @B I ( I ( B I( olm @I= 4 0 4 4, Gip} oetipihp cl`hume zo}et 

zc}b `il}ogclol}p pu`b op poh} "gotcle elctilgel}p#( ih`olc` opb( olm mup}, Eo`b

oetipih `hium bop o ulcque oetipih mcp}tcdu}cil pc{e olm `il`el}to}cil( tepuh}clj cl

mcaaetel} `bolleh o}}eluo}cilp op pbizl cl ]odhe ?,? V0W,

Me~elmclj u~il }be mcaaetel} ~ot}c`hep pc{e( }zi }s~e ia p`o}}etclj }ofe ~ho`e,

․  Toshecjb P`o}}etclj

Toshecjb p`o}}etclj cp o~~hc`odhe zbel }be pc{e ia }be ~ot}c`he `oupclj }be

p`o}}etclj cp gu`b hepp }bol }be zoehelj}b ia }be cl`cmel} hcjb}, ]be gihe`uhot 

p`o}}etclj dehiljp cl }bcp `o}ejits olm p`o}}etclj `tipp pe`}cil cp jcel ds }be

aihhizclj teho}cilpbc~ V0W

=4

440

0

#?"2

ζ 

ώ π 

 L 

lg

∔7 "?,?#WV 4g

zbete cp }be clmer ia teato`}cil "cl oct upuohhs oppugem }i de ?#(l ζ  }be cl`cmel}

hcjb} zoehelj}b( olm }be ihuge}tc` melpc}s ia }be gihe`uhep, L 

 

․  Gce P`o}}etclj

Gce p`o}}etclj cp o~~hc`odhe zbel }be pc{e ia }be ~ot}c`hep `oupclj }be p`o}}etclj cp

odiu} }be poge pc{e op }be zoehelj}b ia }be cl`cmel} hcjb}, ]be oetipih p`o}}etclj

 dehiljp }i cl }bcp `o}ejits olm p`o}}etclj `tipp pe`}cil cp jcel ds }be aihhizclj

teho}cilpbc~ V0W

⎙⎙ ⎮

 ⎜

⎘⎘⎗ 

⎖ 

∔&∔7 ##`ip"?"=

#pcl"=

4 4

4

 Ϗ  Ϗ  Ϗ  Ϗ ώ π  t o WV4

g "?,4#

cp }be oetipih tomcup olmzbete t  Ϗ  }be litgohc{em pc{e ~otoge}et jcel ds

ζ ώ  Ϗ  #?"= ∔7 lt   

=

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]odhe ?,? Mcaaetel} oetipih }s~ep( cpcdchc}s( olm o}}eluo}cil V0W

Acj,?,= Qotco}cil ia o}}eluo}cil `ieaac`cel} zc}b mcaaetel} oetipihp olm jopep V=W,

?,=,4 O}gip~betc` ]utduhel`e

]utduhel`e cp meaclem op tolmig `boljep cl }be o}gip~betc` teato`}ce clmer,

]bcp ~beligelil cp mue }i }be }eg~eto}ute jtomcel}p cl }be o}gip~bete( }be jtiulm( olm

}be i`eol, ]be p}o}cilots teato`}ce clmer ia }be o}gip~bete cp o aul`}cil ia 

}eg~eto}ute ] ( ~teppute ( zoehelj}b

>l

ζ ( olm bugcmc}s , C} cp jcel op V0W ~ q

1

4

0

> ?>::00?>50,:

?::

?∔

⎥⎡

⎭⎤⎠

⎯∔

Ú&&≂

q

 ~l

ζ "?,0#

5

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zbete cp }be oct ~teppute "gdot#( ]  }be }eg~eto}ute ( }be p~e`cac` bugcmc}s

"j)g

#"> F  ~ q

0 ζ #( olm }be zoehelj}b }tolpgcppcil,

Zbel o hcjb} deog }toetpep o tejcil cl zbc`b }bete cp o }eg~eto}ute `bolje cl }be oct(

}be deog cp ~ot}cohhs it }i}ohhs meco}em( me~elmclj u~il }be teho}ce pc{ep ia }be deog

olm }eg~eto}ute clbigijelec}s, ]bcp cl}eto`}cil ia }be hopet deog zc}b }be }utduhel}

gemcug heomp }i tolmig og~hc}ume olm ~bope otco}cilp, ]be `ilpequel`ep ia 

o}gip~betc` }utduhel`e il hopet `iggulc`o}cilp ote jcel dehiz,

․  Deog p}eetclj; Oljuhot meco}cil ia }be deog aitg }be hcle ia pcjb} ~o}b(

`oupclj }be deog }i gcpp }be te`ecet,

․  Cgoje mol`clj; Qotco}cil cl }be deog ottcoh oljhe( `oupclj }be ai`up ~icl} }i

gie cl }be cgoje ~hole,

․  Deog p~teomclj; Pgohh oljhe p`o}}etclj( cl`teopclj }be deog mcetjel`e olm

`oupclj o me`teope cl p~o}coh ~izet melpc}s o} }be te`ecet,

․  Deog p`cl}chho}cil;  Pgohh p`ohe mep}tu`}ce cl}etaetel`e zc}bcl }be deog `tipp

pe`}cil( otco}cil cl }be p~o}coh ~izet melpc}s o} }be te`ecet,

․  P~o}coh `ibetel`e mejtomo}cil; Hippep cl ~bope `ibetel`e o`tipp }be deog

 ~bope atil}p( mejtomclj }be ~bi}igcrclj ~etaitgol`e,

․  ^ihotc{o}cil ahu`}uo}cilp; Qotco}cil cl }be ~ihotc{o}cil p}o}e, 

]be eaae`} ia o}gip~betc` }utduhel`e me~elmp u~il }be teho}ce pc{ep ia }be deog

mcoge}et( olm }be clbigijelec}s mcgelpcil( , Dm h 

(?88h m  DAit u~hclf; }be gokit eaae`} ia }utduhel`e cp }i meahe`} }be deog op o zbihe,

Op o tepuh} ia c}( cgoje mol`clj olm deog p}eetclj ote ~temigclol} eaae`}p,

(?<<h m  DAit mizlhclf; pgohh ~it}cilp ia }be deog ot` clme~elmel}hs mcaato`}em olm

}be deog ~bope atil}p ote domhs mcp}it}em, Op o tepuh} ia c}( deog p~teomclj( deog

p`cl}chho}cil( olm p~o}coh `ibetel`e mejtomo}cil ote ~temigclol} eaae`}p V5W,

?,5  Te`ecet Ol}ello

]be }ehep`i~e cl }be te`ecet `ihhe`}p }be tomco}cil atig o hotje oteo olm ai`upep c}

il}i }be me}e`}it, O te`ecet ol}ello `ol de o teahe`}ce it teato`}ce'}s~e `ihhcgo}it }bo}

jo}betp cl i~}c`oh pcjloh eletjs iet ol cl~u} o~et}ute ia mcoge}et olm ~timu`em o

1

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`ihhcgo}em deog ia mcoge}et pigezbo} pgohhet }bel }be me}e`}it }i ohhiz ait ~icl}clj

clo``uto`s ia }be te`ecet, Cl mcte`} me}e`}cil te`ecet( }be mcoge}et ia }be te`ecet 

ol}ello pbiuhm de op hotje op ~ippcdhe }i jo}bet }be gorcgug ogiul} ia pcjloh eletjs,

Pcl`e ~bope cp li} ia cg~it}ol`e cl mcte`} me}e`}cil( ai`upem p~i} pc{e ia }be te`ecet 

ol}ello pbiuhm de hotjet }bol }be ~bi}ime}e`}it putao`e oteo V=W,

?,1  Te`ecet 

]be te`ecet cl`humep o }ehep`i~e( o ach}et( o ~bi}ime}e`}it( ol og~hcacet( o me`cpcil

mec`e( olm o `hi`f te`iets ulc}, ]be te`ecet ol}ello "}ehep`i~e# `ihhe`}p }be cl`igclj

tomco}cil olm ai`upep c} il}i }be ach}et, ]be ach}et tegiep do`fjtiulm tomco}cil olm

ohhizp ilhs }be zoehelj}bp ia }be pcjloh }i ~opp }btiujb c}, ]be ~bi}ime}e`}it `ilet}p

}be i~}c`oh pcjloh cl}i ol ehe`}tilc` pcjloh zbc`b je}p og~hcacem ds og~hcacet, ]be

me`cpcil ulc} me}etgclep }be lo}ute ia }be dc}p ia claitgo}cil dopem il }be }cge ia ottcoh

olm }be og~hc}ume ia }be ~uhpe, ]be `hi`f te`iets ulc} i~eto}ep cl ~otohheh }i }be

me`cpcil'gofclj ulc} olm psl`btilc{ep }be mo}o pog~hclj }i }be me`cpcil'gofclj ~ti`epp

V4W, 

?,:  Gokit @bohheljep

]be gocl `bohheljep }i cg~hegel} o `iggulc`o}cil hclfp de}zeel jtiulm p}o}cil

}i po}ehhc}e olm po}ehhc}e }i jtiulm p}o}cil ote;

c,  ]i gee} p}tc`} megolmp ait ~icl}clj,

cc,  ]i gc}cjo}e o}gip~betc` p`cl}chho}cil olm o}}eluo}cil,ccc,  ]i gee} ese poae}s p}olmotmp,

?,2  ^tike`} P`i~e

Cl }bcp ~tike`}( gs zitf zchh ai`up il }be p}ums ia o}gip~betc` eaae`}p il i~}c`oh deog op c} ~ti~ojo}ep }btiujb }be o}gip~bete( ait ep}odhcpbclj eot}b'}i'po}ehhc}e "u~hclf#

olm po}ehhc}e'}i'eot}b "mizlhclf# `iggulc`o}cil, ]bepe hclfp ote cg~it}ol} op }bepe zchh

ao`chc}o}e }be ep}odhcpbgel} ia ohh'i~}c`oh hclfp "eot}b'}i'po}ehhc}e( po}ehhc}e'}i'po}ehhc}e( olm

po}ehhc}e'}i'eot}b#, ]bcp ~tike`} clihep p}ums ia o}gip~betc` hippep hcfe odpit~}cil olm

p`o}}etclj( o}gip~betc` }utduhel`e eaae`}p il }be hopet deog( gimehclj olm pcguho}cil ia 

:

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i~}c`oh `bolleh( mcaaetel} gimuho}cil p`begep( olm i}bet ge}bimp }i gc}cjo}e }be odie

eaae`}p, Aut}bet o}gip~betc` }utduhel`e jcep tcpe }i aomclj cl ommc}cil }i i}bet eaae`}p,

]be aomclj eaae`}p zchh ohpi de p}umcem cl }bcp ~tike`},

2

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@bo~}et 4

@BOLLEH GIMEHCLJ

O}gip~betc` }utduhel`e `ol mejtome }be ~etaitgol`e ia u~hclf olm mizlhclf 

i~}c`oh po}ehhc}e `iggulc`o}cil hclfp, ]bcp o}gip~betc` }utduhel`e bop deel p}umcem olm

otciup }beite}c`oh gimehp boe deel ~ti~ipem }i mep`tcde }utduhel`e clmu`em aomclj olm

pcjloh ~izet mejtomo}cil, ]bcp `bo~}et mep`tcdep }be otciup `bolleh gimehp oochodhe cl

}be hc}eto}ute olm }be gimeh zbc`b cp upem cl }bcp ~tike`}, 

4,? Cl}timu`}cil

Atee'p~o`e i~}c`oh }tolpgcppcil `ol ~ticme bcjb'p~eem hclfp ait o otce}s ia 

o~~hc`o}cilp, Bizeet( clbigijelec}cep cl }be }eg~eto}ute olm ~teppute ia }be

o}gip~bete heom }i otco}cilp ia }be teato`}ce clmer ohilj }be }tolpgcppcil ~o}b, ]bcp  

o}gip~betc` }utduhel`e `ol me}etcito}e }be quohc}s ia }be cgoje aitgem o} o te`ecet( olm

`ol `oupe ahu`}uo}cilp cl }be cl}elpc}s ia }be te`ecem pcjloh, ]bepe cl}elpc}s ahu`}uo}cilp

`ol mejtome }be ~etaitgol`e ia hclfp, Cl }bcp ~tike`}( cl}elpc}s gimuho}cil zc}b mcte`}

me}e`}cil te`ecet bop deel upem,

4,4 Upeauh @bolleh ^otoge}etp

]zi upeauh ~otoge}etp mep`tcdclj }utduhel`e'clmu`em cl}elpc}s ahu`}uo}cilp ote m > 

}be `itteho}cil helj}b ia cl}elpc}s ahu`}uo}cilp olm ύ >( }be `itteho}cil }cge ia cl}elpc}s

ahu`}uo}cilp, Cl }s~c`oh }ettep}tcoh hclfp zc}b zclm'mtcel }utduhel`e( }be `itteho}cil helj}b

m   cp ia }be itmet ia ?'?> `g ( zbche }be `itteho}cil }cge ύ >i  cp ia }be itmet ia ?'?> gp, Ca 

}be te`ecet o~et}ute `ol de gome gu`b hotjet }bol }be `itteho}cil helj}b m  T M >( cl}elpc}s

ahu`}uo}cilp `ol de temu`em ds o~et}ute oetojclj, Oli}bet upeauh ~otoge}et cp }be mejtee

3

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ia o}gip~betc` }utduhel`e olm c}p teho}cilpbc~ }i }be i~}c`oh ~ti~et}cep ia }be o}gip~bete

zbc`b cp `boto`}etc{em ds teato`}ce clmer ahu`}uo}cilp( flizl op p}tu`}ute

`ilp}ol}, ]be ohue ia }be p}tu`}ute `ilp}ol} otcep zc}b oh}c}ume olm }cge ia mos, ]s~c`oh

ohuep ait mos}cge `ilmc}cilp leot }be eot}b putao`e ote hcp}em dehiz V5W,

#"b@ l

Zeof }utduhel`e 0)?3?>2∔∔Ú7 g@ l

Cl}etgemco}e }utduhel`e 0)?2?>=∔∔Ú7 g@ l

P}tilj }utduhel`e 0)?:?>5∔∔Ú7 g@ l

 

4,0 Gimehp ait }be P}tu`}ute @ilp}ol} 

Pi gols gimehp ote ~ti~ipem }i mep`tcde }utduhel`e p}telj}b zc}b oh}c}ume,

Bizeet( lec}bet gimeh mep`tcdem }be `boto`}etcp}c`p ia }utduhel`e zc}b puaac`cel}

o``uto`s }i scehm o `ig~he}e mep`tc~}cil ia ohh ~ti~ojo}cil ~beligelo, ]btee teho}cehs

pcg~he gimehp ait oh}c}ume me~elmel`e ia 

4

l@ 

4

l@  ote hcp}em dehiz

"c#  Ile ia }be eothcep} gimehp ait zop jcel ds Atcem V5W cp4

l@ 

#er~"#" >

0)?

>

4 bbbb@ l ∔Λ 7 ∔  

zbete >Λ   cp }be }utduhel`e p}telj}b ~otoge}et zc}b ulc}p ia ge}etp'?)0

( olm b }be oh}c}ume

cl ge}etp, ]s~c`oh ohuep ia 

"4,?#

>Λ   ait p}tilj( gimeto}ehs p}tilj( olm gimeto}e }utduhel`e

ote

p}tilj

⎫⎣

⎫⎢

Ú

Ú

Ú

7Λ ∔

?5

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?>:,1

gimeto}ehs p}tilj

gimeto}e

Cl }bcp mep`tc~}cil( olm gos de tejotmem op }be eaae`}ce becjb} ia }be

}utduhel} o}gip~bete,

04>>> 7b

 

"cc# O ets pcg~he gimeh jcel ds Bualojeh olm P}olhes V5W cp

⎣⎢⎪ Ú

7∔∔

>

?>5,?#"

??04 b

b@ l

Bete(  cp }be oh}c}ume odie hi`oh jtiulm zbc`b cp oppugem }i de hepp }bol 45>> g,

ait  b 8 4> fg

ait  b < 4> fg"4,4#

b

 

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"ccc# Cl }bcp ~tike`} ile ia }be dep} gimehp( flizl op Bualojeh'Qohhes Diulmots

"BQD# V:W gimeh ia o}gip~betc` }utduhel`e( cp upem ait `bolleh gimehclj, ]be BQD

gimeh te~tepel}p }be p}tu`}ute `ilp}ol} ia }be o}gip~bete op o aul`}cil ia oh}c}ume

jcel cl fchige}et,

b

" # " b ObZ 

bbb@ l ?>er~04er~?>:,44:

#er~"?>3=,5#" ?1

4

?>404 ∔&∔Ú&⎙ ⎮

 ⎜⎘⎗ 

⎖ ∔Ú7 ∔∔ #

l

  "4,0#

]be ulc}p ia  @  cl }be gimeh ote ge}etp }i }be "'4)0# ~izet, ]be ~otoge}etp#"4 b  O  olm

`ol de omkup}em }i ac} otciup pc}e `ilmc}cilp }i ~timu`e p~e`cac` ohuep ia }be

`ibetel`e helj}b olm }be cpi~holo}c` oljhe

>t  , ]be ohue ia ~otoge}etp  O>β  olm Z  `ol

 de aclm iu} upclj }be aihhizclj aitguho"4,=#

" #4)?

40)5> ?=,>:54: ∔7 ∔ ζ β Z   

"4,5#?540)5

>

?040)5

>

?4 ?>23,0?>1?,??>43,?∔∔∔∔∔ Ú∔Ú∔Ú7 ζ β ζ t  O  

Oppugclj Dua}il zclm ~tiache

" # " #V Wv w42,==,3er~0>5 ∔∔&7 bbQ  "4,1#

55,?7ζ θtom olm t  `g o}Ait 4:> 7β  5> 7 θg( `oh`uho}em ohue ia   O olm Z  cp

olm 4>,3= tep~e`}cehs,?0?>?,0∔Ú

 

4,= Gimehclj Equo}cilp

O}gip~betc` }utduhel`e `ol de ~bspc`ohhs mep`tcdem ds Fihgijiti }beits(

 ~ti~ipem cl ?3=?( cp dopem il }be bs~i}bepcp }bo} }be fcle}c` eletjs oppi`co}em zc}b }be

hotjet emmcep cp temcp}tcdu}em zc}biu} hipp }i emmcep ia me`teopclj pc{e ul}ch c} cp aclohhs

mcppc~o}em ds cp`ipc}s, ]be pc{e ia }utduhel`e emmcep litgohhs toljep atig o aez

gchhcge}etp }i o aez ge}etp,

>l]be p}o}cilots teato`}ce clmer ia }be o}gip~bete op o aul`}cil ia }eg~eto}ute(

  ~teppute( zoehelj}b( olm bugcmc}s cp jcel ds Eq, "?,0#, O``itmclj }i Fihgijiti

}beits( }be teato`}ce clmer cp }be pug ia o acrem olm o otcodhe `ig~ilel} olm c} `ol de

ztc}}el op

⎙ ⎮

 ⎜⎘⎗ 

⎖ &7⎙

 ⎮

 ⎜⎘⎗ 

⎖  ↔↔

t llt l]  >   "4,:#

??

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zbete cp }be oetoje teato`}ce clmer( >l t  o hi`o}cil cl p~o`e( olm }be p}i`bop}c`

`ig~ilel} `teo}em ds }be p~o}coh otco}cil ia ~teppute( }eg~eto}ute( olm bugcmc}s, ]be

`itteho}cil aul`}cil ia cp meaclem op

⎙ ⎮

 ⎜⎘⎗ 

⎖ ↔t l] 

⎙ ⎮

 ⎜

⎘⎗ 

⎖ ↔

t l

⎥⎡

⎭⎤⎠

⎯⎙ ⎮

 ⎜⎘⎗ 

⎖ ⋅⎙

 ⎮

 ⎜⎘⎗ 

⎖ 7⎙

 ⎮

 ⎜⎘⎗ 

⎖ ΐ

↔↔↔↔

44??44?? (((6( } t l} t l E } t } t l   "4,2#

Pe}}clj cl "4,2#( ze id}ocl4? } }  7

⎥⎡

⎭⎤⎠

⎯⎙ ⎮

 ⎜⎘⎗ 

⎖ ⋅⎙

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 ⎜⎘⎗ 

⎖ 7⎙

 ⎮

 ⎜⎘⎗ 

⎖ ΐ

↔↔↔↔

4?4? ( t lt l E t t l  

]be equo}cil "4,3# mep`tcdep }be p~o}coh `ibetel`e ia }be teato`}ce clmer, ]i p}ums }be

p~o}coh `ibetel`e ia }be teato`}ce clmer( gols gimehp boe deel ~ti~ipem( zbc`b

oppuge er~ilel}coh( Jouppcol it i}bet pihodhe aul`}cil aitgp ait , O zcmehs

upem gimeh zc}b jiim o``uto`s zop ~ti~ipem ds Fihgijiti( zbc`b oppugep }be

zoelugdet p~e`}tug }i de

"4,3#

⎙ ⎮

 ⎜⎘⎗ 

⎖ ΐ↔↔

4?( t t l

" # 0)??4>00,>∔7Ρ  F @  F  l  

zbete cp }be teato`}ce clmer p}tu`}ute `ilp}ol} olm4

l@   F  }be e`}it zoe lugdet 

te~tepel}clj p~o}coh atequel`cep, ]be ~otoge}et 

"4,?>#

g F  F  F  88

>po}cpacep }be clequohc}s F   

zbete cp }be cllet p`ohe zoe lugdet olm }be iu}et p`ohe zoe lugdet V1W,g F  > F 

 

4,=,? P}olmotm Meco}cil ia Hij'og~hc}ume Ahu`}uo}cil

Zbel }utduhel`e cp zeof it zbel }be `bolleh cp pbit}( otco}cilp ia }be hij'

og~hc}ume ote }s~c`ohhs gu`b pgohhet }bol otco}cilp ia }be ~bope, Iet hiljet 

 ~ti~ojo}cil mcp}ol`ep( zbete }utduhel`e de`igep gite peete( }be otco}cil ia }be hij'

og~hc}ume `ol de`ige `ig~otodhe }i }bo} ia }be ~bope, Dopem il }be o}gip~betc`}utduhel`e gimeh meaclem odie olm oppugclj zeof }utduhel`e( }be ehe`}tc` acehm

og~hc}ume otco}cilp ia }be deog ote jcel ds }be hij'litgoh mcp}tcdu}cil,

Ait }be p~o`e'}i'jtiulm `iggulc`o}cilp mizlhclf( }be deog cp mcp}it}em cl ~bope

op c} el}etp mizl }btiujb }be o}gip~bete, Ds }be }cge c} ~ti~ojo}ep }i }be jtiulm(

p`cl}chho}cil otcpep, ]beteaite( ait u~hclf ~hole zoe debocit `ol de oppugem, Ait }be

?4

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jtiulm'}i'p~o`e `iggulc`o}cilp u~hclf( }be deog ziuhm je} gip} ia c}p ~bope ettit leot 

}be }tolpgc}}et olm de pcjlcac`ol}hs p`cl}chho}em zbel c} teo`bem }be p~o`e'ditle te`ecet,

O p~betc`oh zoe debocit `ol }beteaite de oppugem ait }be u~hclf,

]be olohs}c` er~teppcil ait }be `iotcol`e ia }be hij og~hc}ume ahu`}uo}cil  R  iet 

`bolleh helj}b ait o mizlhclf( c} cp jcel ds V1W H

" # mr r H r@  H H

l R 

1)5

>

4

1):

4 #"4

51,>#" ∔⎙ ⎮

 ⎜⎘⎗ 

⎖ 7 ∦ ζ 

ώ π  "4,?>#

olm ait ol u~hclf( c} cp jcel ds V1W

" # mr r H H

 r r@  H

 H

l R 

1)5

1)5

>

4

1):

4 #"4

51,>#" ∔⎙ ⎮

 ⎜⎘⎗ 

⎖ ⎙ ⎮

 ⎜⎘⎗ 

⎖ 7 ∦ ζ 

ώ π  "4,??#

4,5  Pcguho}cil Tepuh}p olm Mcp`uppcil

]be otco}cil ia }utduhel`e p}telj}b zc}b oh}c}ume zbc`b ote pcguho}em il Go}hod(

ait mcaaetel} gimehp ote pbizl dehiz

"c#  Atcem Gimeh

Acj,4,? Qotco}cil ia }utduhel`e p}telj}b zc}b oh}c}ume,

?0

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  "cc# Bualojeh olm P}olhes Gimeh

Acj,4,4 Qotco}cil ia }utduhel`e p}telj}b zc}b oh}c}ume,

"ccc# Bualojeh'Qohhes Diulmots Gimeh

Acj,4,0 Qotco}cil ia }utduhel`e p}telj}b zc}b oh}c}ume,

?=

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C} cp idpetem aitg Acj, "4,4# }bo} Atcem gimeh cp o~~hc`odhe ilhs ait pbit} tolje

 ~ti~ojo}cil ~o}b ait ohh }utduhel`e `ilmc}cilp, Aitg Acj, "4,0#( c} `ol de idpetem }bo}

Bualojeh'P}olhes gimeh cp o~~hc`odhe ait hilj tolje ~ti~ojo}cil ~o}b ait p}tilj olm

gimeto}e }utduhel`e p}telj}b( atig ~teciup p}umcep c} `ol de peel }bo} c} miep li} jce

ols cmeo odiu} mcaaetel} pc}e `ilmc}cilp, C} cp ohpi idpetem atig Acj, "4,=# }bo} Bualojeh'

Qohhes Diulmots gimeh `ol mep`tcde zeof }utduhel`e ait hilj tolje ~ti~ojo}cil ~o}b

olm op atig ~teciup p}umcep c} `ol de peel }bo} c} cp jiim ait otciup pc}e `ilmc}cilp ohpi,

Pi ait aut}bet pcguho}cil( }bcp gimeh cp }ofel,

Acj,4,= Qotco}cil ia p}olmotm meco}cil ia hij og~hc}ume ahu`}uo}cil zc}b oh}c}ume,

C} cp idpetem aitg }be pcguho}cil tepuh} op pbizl cl Acj, "4,=# }bo} ait zeof 

}utduhel`e op BQD }utduhel`e gimeh mep`tcdep zeof }utduhel`e gite o``uto}ehs( }be

}utduhel`e oaae`}p }be i~}c`oh pcjloh zc}bcl actp} 5> fg ait di}b u~hclf olm mizlhclf du}

og~hc}ume ahu`}uo}cil ia i~}c`oh deog ait mizlhclf cp gite op `ig~otem }i u~hclf, ]be

 ~bspc`oh teopil debclm c} cp }bo} }be eaae`} ia o}gip~betc` }utduhel`e me~elmp u~il }be

teho}ce pc{ep ia }be deog mcoge}et olm }be clbigijelec}s mcgelpcil, Ait }be p~o`e'}i'

jtiulm i~}c`oh `iggulc`o}cilp "mizlhclf#( deog mcoge}et de`igep gu`b hotjet }bel

?5

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}be }utduhel} emms pc{e olm }beteaite pgohh ~it}cilp ia }be deog ote clme~elmel}hs

mcaato`}em olm }be deog ~bope atil}p ote domhs mcp}it}em op c} el}etp mizl }btiujb }be

o}gip~bete, Ds }be }cge c} ~ti~ojo}ep }i }be jtiulm( p`cl}chho}cil otcpep, Zbeteop ait }be

jtiulm'}i'p~o`e i~}c`oh `iggulc`o}cilp "u~hclf#( }be }utduhel} emms pc{e cp hotjet }bel

}be }tolpgc}}em deog mcoge}et, Pcl`e o}gip~bete cp ets leot }i }tolpgc}}et pi }be gokit 

eaae`} ia }utduhel`e cp }i meahe`} }be deog op o zbihe, ]be deog ziuhm je} gip} ia c}p

 ~bope ettit leot }be }tolpgc}}et olm de pcjlcac`ol}hs p`cl}chho}em du} li} op gu`b op cl `ope

ia u~hclf( zbel c} teo`bem }be p~o`editle te`ecet,

?1

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,

@bo~}et 0

O]GIP^BETC@ ]UTDUHEL@E OLM GIMUHO]CIL P@BEGEP

]be jtizclj megolm ia dtiomdolm zctehepp `iggulc`o}cilp gofep }be p}ums ia 

i~}c`oh zctehepp `iggulc`o}cilp ets cg~it}ol}, De`oupe ia }be `ip}'eaae`}ce( eops'

me~hisem olm bcjb'dolmzcm}b quohc}cep( i~}c`oh zctehepp `iggulc`o}cil }e`blihijs bop deel o aeopcdhe cl}et`ille`}p }e`blihijs ait bcjb'`o~o`c}s `iggulc`o}cil le}zitfp, ]be

mepcjl ia u~hclf olm mizlhclf i~}c`oh po}ehhc}e `iggulc`o}cil psp}egp cp p}tiljhs

clahuel`em ds }be o}gip~betc` eaae`}p, ]bepe eaae`}p `ol de p~e`cacem ds }be o}}eluo}cil

olm }be ahu`}uo}cilp ia }be }tolpgc}}em i~}c`oh ~izet, Cl }be i~}c`oh po}ehhc}e

`iggulc`o}cil( }be ~tcgots ao`}it oaae`}clj }be psp}eg ~etaitgol`e cp cl}elpc}s

ahu`}uo}cilp, ]bcp cp flizl op hij'litgoh p`cl}chho}cil, Cl }bcp `bo~}et( ~etaitgol`e ia 

otciup gimuho}cil p`begep e,j,( IIF( pud`ottcet D^PF olm pud`ottcet _^PF cl}elpc}s

gimuho}cil cl }be o}gip~betc` elctilgel} zchh de p}umcem,

0,?  Cl}timu`}cil

C} bop deel pbizl ds peetoh p}umcep }bo} }be o}gip~betc` ~ti~ojo}cil ~o}b cp

`boto`}etc{em ds gihe`uhot odpit~}cil( oetipih p`o}}etclj olm }utduhel`e, Mue }i ohh }bepe

eaae`}p( }bete ote og~hc}ume ahu`}uo}cilp cl }tolpgc}}em i~}c`oh deog, ]be eletjs hipp ia 

i~}c`oh zctehepp `iggulc`o}cil cp gip}hs atig gihe`uhot odpit~}cil( oetipih p`o}}etclj

olm }utduhel`e, ]be gihe`uhot odpit~}cil ~ti~et}s jcep o `tc}etcil ait `biipclj }be

zoe helj}b ia }be i~}c`oh deog, ]be zoe helj}b ia i~}c`oh `iggulc`o}cil `ottcet cp

gu`b pbit}et }bol }bo} ia TA `iggulc`o}cil psp}egp, ]be `ibetel} psp}eg cp }ii

`ig~her }i de cg~hegel}em ait pu`b o pbit}et zoehelj}b, Cl}elpc}s gimuho}cil zc}b

mcte`} megimuho}cil cp zcmehs upem cl di}b zctehepp olm zctem i~}c`oh `iggulc`o}cil

?:

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psp}egp, Il'Iaa Fesclj "IIF# bop deel }be migclol} gimuho}cil p`bege ait cl}elpc}s

gimuho}cil i~}c`oh `iggulc`o}cilp, Zc}b IIF( }be cl}elpc}s ia }be }tolpgc}}em i~}c`oh

 deog cp mcte`}hs `il}tihhem zc}b o pequel`e ia ~uhpep,

Pud`ottcet cl}elpc}s gimuho}cil zop ~ti~ipem op oli}bet cl}elpc}s gimuho}cil

}e`blihijs olm cp o}}to`}clj gite olm gite o}}el}cil, Ait }bcp gimuho}cil( }be dope dolm

pcjloh cp actp} gimuho}em zc}b ol cl}etgemco}e atequel`s `ottcet, ]be gimuho}cil `ol de

ols ia }be `uttel}hs upem TA gimuho}cil p`begep, ]bcp ~ot} cp cg~hegel}em cl }be

ehe`}tc`oh `ct`uc} ia }be }tolpgc}}et, ]bel }be gimuho}em dolm ~opp pcjloh cp aeem }i }be

i~}c`oh ~ot} ia }be }tolpgc}}et( olm }be i~}c`oh deog cp `il}tihhem ds }be gimuho}em

ehe`}tc`oh pcjloh, Cl }be te`ecet( }be i~}c`oh pcjloh cp actp} `ilet}em }i ehe`}tc`oh pcjloh,

]bel }be te`ecet megimuho}ep }be ehe`}tc`oh pcjloh zc}b TA }e`blcquep,

0,4  Hij'litgoh P`cl}chho}cil

Cl ol i~}c`oh zctehepp `iggulc`o}cil ait ol cl}elpc}s gimuho}cil psp}eg( }be

te`ecem i~}c`oh cl}elpc}s `ol de ztc}}el op#"}  ^ 

#"#"#"#" } l}  ^ }  R }  ^   p &7  

zbete cp o p}o}cilots tolmig ~ti`epp zc}b hij'litgoh mcp}tcdu}cil `oupem ds }be

}utduhel`e( cp }be te`ecem i~}c`oh cl}elpc}s ds }be te`ecet zc}biu} }utduhel`e olm

cp }be ommc}ce zbc}e jouppcol licpe "OZJL#,

"0,?#

#"}  R 

#"}  ^  p

#"} l

He} de o Jouppcol tolmig otcodhe zc}b {eti geol olm otcol`e π 4U  , He} up meacle

tolmig otcodhe op R 

(  ><f U fe R  7

]be tolmig otcodhe  R  cp ia hij'litgoh mcp}tcdu}cil zc}b }be ~tidodchc}s melpc}saul`}cil "^MA# V2W

>(hl(4

?#"

4

4

4

#"hl

≥77∔

∔ rf e

 r r a 

 r

 R  ο π ώ 

π 

ο 

, "0,4#

]be l}b

gigel} ia cp ,v w 4)4 44π llef  R  E  7 R 

  ?2

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v w4 R  E  ( ze boe ( bel`e }be ^MA ia 4π ∔7 ef Ait pcg~hc`c}s( litgohc{clj  R  `ol de

ztc}}el op e r

 r a  r

 R 

4

44

4

#"hl

4

?#" π 

π 

π ώ 

&∔

7 v w 4)4π ∔7 e R  E olm , ]be otcol`e ia 4

 R π 

cp jcel ds R 

v w v w444  R  E  R  E  R  ∔7π   

#er~"? 44 π π  ∔∔7 R 

Ait ( olm }bup ^MA ia ?4 88π 44 π π  ≯ R   R  cl }etgp ia otcol`e `ol de jcel op4

 R π 

e r

 r a   R 

 R  r

 R 

 R 

4

44

4

#"hl

4

?#" π 

π 

π ώ 

&∔

7  

zbete otcol`e cp me}etgclem ds }utduhel`e `ilmc}cil olm ~ti~ojo}cil ~o}b helj}b,4

 R π 

 

0,0  @oh`uho}cil ia ^tidodchc}s ia Ettit cl O}gip~betc` Elctilgel}

0,0,? IIF Cl}elpc}s Gimuho}cil P`bege

]be dope dolm ehe`}tc`oh pcjloh cl }be }tolpgc}}et `ol de ztc}}el op V2W

#"#"  p

c

c c] }  j o}  ∔7 ∟∜

∔∜7

 

zbete cp }be heeh ia }be cco}b

psgdih olm toljep atig '? }i ?( j "} # cp }be pbo~clj ~uhpe

zbc`b cp te`}oljhe ait gip} `ope olm cp }be psgdih }cge, Ait IIF olm D^PF( c} cp

equoh }i dc} muto}cil ,

 p] 

d] 

]be cl}elpc}s ia mcte`} gimuho}em hopet deog `ol de ztc}}el op

∟∜

∔∜7

∔&7c

 pc c] }  j o}  p #"?#"  

]bup te`ecem cl}elpc}s ia }be i~}c`oh zoeaitg `ol de ztc}}el op

#"#"#"4

#"4

#" gorgor } lc] }  j o}  R  ^ }  R  ^ }  ^   pc

c

&∔&7 ∟∜

∔∜7

 

zbete cp }be gorcgug te`ecem cl}elpc}s zc}biu} }utduhel`e, Pi }be `ilet}em

ehe`}tc`oh pcjloh zchh de

gor ^ 

"0,0#it 

"0,=#

"0,5#

"0,1#

"0,:#

"0,2#

?3

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#"#"#"#"4

#" gor

> } lc] }  j o}  R }  R  O ^ 

 T} c  p

c

c T &⎥

⎭⎤⎠

⎯∔&7 ∟

∔∜7

"0,3#

b`

e T

ζ κ 7>zbete l"} # cp }be ommc}ce zbc}e jouppcol licpe( }be te`ecet oteo olm T O }be

tep~ilpcc}s ia ~cl me}e`}it zbc`b me~elmp u~il }be ~bi}iehe`}tc` `iletpcil eaac`cel`s

4

gor

>

 T O ^  Tζ κ  olm i~eto}clj zoehelj}b , Bete guh}c~hc`o}ce ao`}it `ol de }teo}em op o

`ilp}ol} olm }beteaite zc}biu} hipp ia jeletohc}s( }be te`ecem ehe`}tc`oh pcjloh `ol de

ztc}}el op

#"#"#"#"#" } lc] }  j o}  R }  R } c  p

c

c &∔&7 ∟∜

∔∜7

  "0,?>#

Pcl`e cp }be litgohc{em og~hc}ume olm toljep atig &? }i '?( }be pcjloh `uttel}

`ittep~ilmclj }i dc} ‒?– `ol de ztc}}el op

co

"0,??##"#"4#" } l}  R } c &7

He} }be otcol`e ia OZJL licpe de }bel }be ^MA ia }be `ilet}em ehe`}tc`oh pcjloh

zbel dc} ‒>– cp pel} cp jcel ds

4

lπ 

eIaa t  ~ l

l

4

4

4

4

?#" π 

π ώ 

∔7 "0,?4#

]bcp cp li}bclj du} ^MA ia OZJL olm cp }be og~hc}ume ia }be te`ecem pcjloh,t 

]be ^MA ia }be te`ecem pcjloh zbel dc} ‒?– cp pel} cp jcel ds `ilihu}cil ia }zi ^MAp

op

#"+#"#"  r j  r a Iaa t  ~ l R 7  

zbete olm ote ^MA ia aomclj olm OZJL( tep~e`}cehs, Zc}b }be beh~ ia 

Eq, "0,??#( }be odie equo}cil `ol de ztc}}el op

"0,?0#

#" r a  R  #" r j l

mr rt  j  r a Iaa t  ~ l R 

∦ 

∜∔ ∔7 #4"#4"#" "0,?=#

it " #

mre r

eIlt  ~ l R 

 R   rt  r

l R 

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4#"

π π 

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π ώπ ( >< r "0,?5#

olm geol ohue ia }bcp ^MA cp equoh }i ,4)4

4  R eπ ∔

  4>

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( }be te`ecem ehe`}tc`oh pcjloh cp jcel dsZbel }bete cp li }utduhel`e c,e,( ?#" 7}  R 

#"#"?#" } lc] }  j o} c  p

c

c &∔&7 ∟∜

∔∜7

  "0,?1#

]be M@ }etg `ol de ehcgclo}em zc}biu} cg~octclj }be p~e`}tug ia }be claitgo}cil pcjloh,

Cl }bcp `ope( }be DET aul`}cil ia IIF `ol de ztc}}el op

⎙⎙

 ⎮

 ⎜

⎘⎘

⎗ 

⎖ 7

4

l

de

 E _ ^ 

π   "0,?:#

zbete cp }be dc} eletjs,?4 77 cd o E 

Zbel }be }utduhel`e eaae`} cp peete( }be og~hc}ume claitgo}cil cp mogojem ds }be aomclj

He} te`ecet bop }be flizhemje ia }be aomclj cl}timu`em ds }utduhel`e( }be }btepbihm de

, Cl }bcp `ope( }be ~tidodchc}s ia ettit cp jcel ds><] 

" # " #Il] t  ^  ^ Iaa ] t  ^  ^  ^ e 8&<7 ?>"0,?2#

zbete

4

??> 77 ^  ^ #?" >?  ^  ^  ∔7 olm

> ^  olm ote }be ~tidodchc}s ia ettit zbel dc}p ‒>– olm ‒?– ote pel}( tep~e`}cehs,? ^ 

" #Iaa ] t  ^  < " Il] t  ^  8 #olm ote }be ~tidodchc}s ia ettit zbel te`ecem pcjloh

og~hc}ume cp jteo}et }bol }btepbihm ohue ]  ca dc} ‒>– cp pel} olm zbel te`ecem pcjloh

og~hc}ume cp hepp }bel }btepbihm ohue ca dc} ‒?– cp pel}( tep~e`}cehs,

" #Iaa ] t  ^  < " Il] t  ^  8 #olm ote jcel ds

" # mt Iaa t  ~Iaa ] t  ^ ] 

∦ ∜

7< #" "0,?3#it 

" # #" l] _Iaa ] t  ^  π 7<   "0,4>#

m} e r_

 r

4

4

4

?#"

∔∜

∦ 7ώ 

zbete

" # ∦ ∜∔

78] 

mt Ilt  ~Il] t  ^  #" "0,4?#

it 

" #

mre r

eIl] t  ^  l R 

 R   rt  r

 R 

⎥⎥⎡

⎤⎤⎠

⎯ ∔&∔∜∔

∦ 784

4

4

44

4

4

4

hl

>

4

4 ?

4#"

π π 

π 

π ώ "0,44#

4?

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Upclj Eqp, "0,4># olm "0,44# cl Eq, "0,?2#( }be DET ia IIF cl}elpc}s gimuho}cil cl

o}gip~betc` elctilgel} cp jcel ds

" #" #

mr]  r

_e

 r

 ^ e] _ ^  ^ 

l

 rt  r

 R 

lel R 

 R 

⎙⎙

 ⎮

 ⎜⎘⎘

⎗ 

⎖  ∔∔&7 ⎥

⎥⎡

⎤⎤⎠

⎯ ∔&∔∜∔

∦ π π ώ 

π π π 

π 

4?

4

#?" 4

4

4

44

4

4

4

hl

>

4

>4

>   "0,40#

0,0,4 Pud`ottcet ^PF Cl}elpc}s Gimuho}cil P`bege

Cl `ope ia pud`ottcet ^PF cl}elpc}s gimuho}cil( }be iu}~u} i~}c`oh cl}elpc}s ia }be

}tolpgc}}et `ol de ztc}}el op V2W

#}  a } }  a } g}  qc >> 4pcl#"4`ip#"?#" ώ ώ  &&7 "0,4=#

zbete cp }be gimuho}cil clmer zc}bg W?(>"∂g ( cp }be cl}etgemco}e `ottcet 

atequel`s( olm olm ote }be cl'~bope olm quomto}ute ~bope pcjlohp(

tep~e`}cehs, Ohpi olm po}cpas }be `ilmc}cil , ]be te`ecem

i~}c`oh cl}elpc}s `ol de ztc}}el op

> a 

#"} c #"} q

?#"#" 44 ≭& } }  qc#"} c #"} q

# #"4pcl#"4`ip#"?#"#" >>gor } l}  a } }  a } g}  R  ^ }  ^  qc &&&7 ώ ώ    "0,45#

]bup }be `ilet}em ehe`}tc`oh pcjloh cp jcel ds

#}  a } }  a } g}  R  O ^  T} c qc T >>gor> 4pcl#"4`ip#"?#"#" ώ ώ  &&7  

"0,41#}  a } l}  a } l `q`c ώ ώ  4pcl#"4`ip#" &&

zbete olm ote lottizdolm OZJL licpe zc}b otcol`e , Bete c} cp

oppugem }bo} }bcp psp}eg bop }be poge i~}c`oh cl}elpc}s heeh op cl }be IIF `ope, Pi

zc}biu} hipp ia jeletohc}s( odie equo}cil `ol de ztc}}el op

#"} lc

4

lπ #"} lq

#}  a } }  a } } gR }  R } c qc >> 4pcl#"4`ip#"#"#"#" ώ ώ  &&7  

"0,4:#}  a } l}  a } l `q`c ώ ώ  4pcl#"4`ip#" &&

He} olm ote }be ~izet p~e`}toh melpc}s aul`}cilp ia hij'litgoh ~ti`epp

olm dope'dolm pcjloh ( tep~e`}cehs, He} up meacle o lez otcodhe op

#" a  R  #" a Q 

#"}  R  #"}  #" a  D

#"+#"#"  a Q  a  R  a  D 7  

He} up oppuge }bo} `ottcet atequel`s cp bcjb eliujb pi }bo} }be pcljhe'pcmem dolmzcm}b ia 

cp pgohhet }bel gclup }be pcljhe'pcmem dolmzcm}b ia , ]bup }be er~elmem

"0,42#

> a #" a  R  #" a  D

  44

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M@ }etg cl }be odie equo}cil mue }i aomclj `ol de ehcgclo}em ds megimuho}cil olm ait 

G'ots ^PF gimuho}cil( }be te`ecem ehe`}tc`oh pcjloh `ol de ztc}}el op

#"#"#" } t } t } t  qc &7 "0,43#

zbete

#"#"#"#" } l} } gR } t  ccc &7 olm #"#"#"#" } l} } gR } t  qqq &7

]bup ait D^PF( c} `ol de ztc}}el op

v w 4#"#"#"#" } l} } gR } t  &7 "0,0>#

olm ait _^PF(

v wv w 4#"#"#"#"

4#"#"#"#"

} l} } gR } t 

} l} } gR } t 

qqq

ccc

&7

&7"0,0?#

Pcl`e ait dc}p ‒?– it ‒>–( }bel Eq, "0,4:# ait dc} ‒?– `ol de ztc}}el op?#" ¿7} 

"0,04#v w 4#"#"#" } l} gR } t  &7  

]bup ait i~}c`oh zctehepp psp}eg eg~hisclj D^PF }btiujb o}gip~betc` }utduhel`e

`bolleh( }be }btepbihm cp `bipel o} > c,e, >7]  olm }be ~tidodchc}s ia ettit cp jcel ds

mrgr

_e r

e ^ 

l

 r

 R 

e R 

 R 

⎙⎙ ⎮

 ⎜⎘⎘⎗ 

⎖ 7

∔∜∔

∦  π π ώ 

π 

π 

4

44

4

hl

>

4

4 ?

4"0,00#

Pcgchoths ait i~}c`oh zctehepp psp}eg eg~hisclj _^PF }btiujb o}gip~betc` }utduhel`e

`bolleh( }be }btepbihm cp `bipel o} > c,e,( >7

]  ( }be ~tidodchc}s ia ettit cp jcel ds

mrgr

_e r

e ^ 

l

 r

 R 

e R 

 R 

⎙⎙

 ⎮

 ⎜⎘⎘⎗ 

⎖ 7

∔∜∔

∦ π π ώ 

π 

π 

4

?

4

4

44

4

hl

>

4

4

  "0,0=#

( }be te`ecem ehe`}tc`oh pcjloh `ol de ztc}}el opZbel }bete cp li }utduhel`e c,e,( ?#" 7}  R 

v w 4#"#"#" } l} g} t  &7 ait D^PF 

olm

v w

v w 4#"#"#"

4#"#"#"

} l} g} t 

} l} g} t 

qqq

ccc

&7

&7ait _^PF 

]be DET cl }bcp `ope c,e, zc}biu} }utduhel`e ait D^PF zchh de

⎙⎙

 ⎮

 ⎜⎘⎘⎗ 

⎖ 7

4

l

de

 E _ ^ 

π   "0,05#

zbete , ]bup }be odie equo}cil `ol de ztc}}el op444 #" g} g E d 77

  40

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⎙⎙

 ⎮

 ⎜

⎘⎘

⎗ 

⎖ 7

4

4

l

e

g_ ^ 

π "0,01#

?7g]bcp cp }be poge op IIF zc}b olm li aomclj, Pcgchoths DET zc}biu} }utduhel`e

ait _^PF cp jcel ds

⎙⎙

 ⎮

 ⎜

⎘⎘

⎗ 

⎖ 7

⎙⎙

 ⎮

 ⎜

⎘⎘

⎗ 

⎖ 7

4

4

4

44

4

#"

ll

e

g_

} g_ ^ 

π π "0,0:#

0,=  Pcguho}cil Tepuh}p olm Mcp`uppcil

44

Cl `bo~}et 4( atig Acj, "4,5# }be pcguho}cil tepuh} pbizp }bo} }utduhel`e clmu`em

aomclj gip}hs eaae`} }be mizlhclf `iggulc`o}cilp olm ots atig ?>'44

 R π  }i >,5 ait 

mizlhclf zc}bcl 5> fg tolje, Cl }bcp pcguho}cil( }be ohue ia cp otcem atig >,? }i

>,5 op iut cl}etep} cp }i pcguho}e }be ~etaitgol`e ia mcaaetel} gimuho}cil p`begep o} bcjb

}utduhel`e p}telj}b olm }be ohue ia cp }ofel }i de ulc}s, ]be }btepbihm ait IIF cp

`bipel op omo~}ce }btepbihm c,e,( c} me~elmp u~il }utduhel`e p}telj}b olm c}p ohue cp

}ofel op }be boha ia }be geol ia }be hij'litgoh tolmig ~ti`epp zbc`b cp equoh }i

c,e,( ,

4 R π 

g

4)4 R e

π ∔ 4)4 R e] 

π ∔7

  IIF Cl}elpc}s gimuho}cil p`bege

Acj, 0,? Qotco}cil ia DET zc}b PLT cl o}gip~betc` elctilgel} ait mcaaetel} ohuep ia aomclj,

4=

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Acj, 0,? pbizp }be ~etaitgol`e ia }be psp}eg ulmet `ilpcmeto}cil eg~hisclj IIF 

cl}elpc}s gimuho}cil p`bege }btiujb o}gip~betc` elctilgel}, Atig }be pcguho}cil

tepuh}p( }be aihhizclj `il`hupcilp `ol de mtozl

․  ]be ~etaitgol`e ia IIF cl}elpc}s gimuho}cil p`bege cl o}gip~betc`

elctilgel} me~elmp u~il }be }utduhel`e p}telj}b,

․  Op }be aomclj p}telj}b cl`teopep( }be tequctem PLT ait o ~ot}c`uhot DET ohpi

cl`teopep op `ig~otem }i OZJL,

․  O} bcjb }utduhel`e p}telj}b( }be ~etaitgol`e teo`bep }i o DET ahiit, ]be PLT o}

zbc`b DET ahiit i``utp me`teopep zc}b cl`teope cl }utduhel`e p}telj}b, ]be

  ~etaitgol`e cl ~tepel`e ia aomclj cp ohzosp zitp} }bo} OZJL, ]bcp cp }tue

cttep~e`}ce ia }be }utduhel`e p}telj}b,

․  O} bcjbet PLT( psp}eg ~etaitgol`e cp gu`b gite oaae`}em mue }i aomclj clmu`em

  ds }utduhel`e, ]be ~bspc`oh teopil ia }bcp cp }bo} }be o}gip~betc` }utduhel`e

oaae`}p }be pcjloh og~hc}ume gite ,

  Pud`ottcet D^PF cl}elpc}s gimuho}cil p`bege

Acj, 0,4 Qotco}cil ia DET zc}b PLT cl o}gip~betc` elctilgel} ait mcaaetel} ohuep ia aomclj,

45

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Acj, 0,4 pbizp }be ~etaitgol`e ia poge psp}eg eg~hisclj pud`ottcet D^PF cl}elpc}s

gimuho}cil p`bege }btiujb o}gip~betc` elctilgel}, Atig }be pcguho}cil tepuh}( }be

aihhizclj `il`hupcilp `ol de mtozl

․  ]be psp}eg eg~hisclj pud`ottcet D^PF pcjlohclj p`bege( }be ~etaitgol`e cl

o}gip~betc` elctilgel} ohpi me~elmp u~il }be }utduhel`e p}telj}b,

․  Op }be aomclj p}telj}b cl`teopep( }be tequctem PLT ait o ~ot}c`uhot DET ohpi

cl`teopep op `ig~otem }i OZJL( du} hepp }bol op tequctem cl IIF pcjlohclj

p`bege, ]be ~bspc`oh teopil ia }bcp cp }bo} aomclj miep li} oaae`} gu`b }be ~bope

claitgo}cil op `ig~otem }i og~hc}ume claitgo}cil,

․  Oli}bet cl}etep}clj idpeto}cil cl }bcp `ope cp }bo} }bete cp li cpcdhe ettit to}e

ahiit zc}bcl }be ~to`}c`oh PLT tolje, Bizeet cl }be `ope ia IIF pcjlohclj

p`bege( }be ettit to}e ahiit cp quc}e cpcdhe ait mcaaetel} heehp ia }utduhel`e

p}telj}b,

  Pud`ottcet _^PF cl}elpc}s gimuho}cil p`bege

Acj, 0,0 Qotco}cil ia DET zc}b PLT cl o}gip~betc` elctilgel} ait mcaaetel} ohuep ia aomclj,

41

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Acj, 0,0 pbizp }be ~etaitgol`e ia }be poge psp}eg eg~hisclj pud`ottcet _^PF cl}elpc}s

gimuho}cil p`bege }btiujb o}gip~betc` elctilgel}, Atig }be pcguho}cil tepuh}( }be

aihhizclj `il`hupcilp `ol de mtozl

․  ]be ~etaitgol`e ia }be psp}eg eg~hisclj pud`ottcet _^PF cl}elpc}s gimuho}cil

p`bege cp gite it hepp poge op D^PF pcjlohclj p`bege er`e~} ait ~ot}c`uhot 

}utduhel`e p}telj}b olm o} o jcel DET( }be tequctem PLT cp gite }bol op

tequctem cl D^PF,

․  Op cl `ope ia IIF olm D^PF pcjlohclj p`begep( cl _^PF pcjlohclj p`bege ohpi

o}gip~betc` }utduhel`e clmu`em aomclj oaae`}p }be psp}eg ~etaitgol`e,

  @ig~otcpil ia IIF zc}b pud`ottcet D^PF olm _^PF cl}elpc}s gimuho}cil

ait mcaaetel} heqehp ia aomclj

"o#

π

 

r47>,? 

4:

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"d#

π

 

πr47>,0 

r47>,4 

"`#

42

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π"m#

πr47>,5 

r47>,= 

"e#

Acj, 0,= @ig~otcpil ia IIF zc}b pud`ottcet D^PF olm _^PF cl}elpc}s gimuho}cil ait 

gimeto}e aomclj p}telj}b "o# πr47>,?( "d# πr

47>,4( "`# πr47>,0( "m# πr

47>,=( olm "e# πr47>,5

43

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Atig pcguho}cil tepuh}p op pbizl cl Acj, 0,= aihhizclj `il`hupcilp `ol de mtozl

․  D^PF pcjlohclj p`bege ohzosp ~etaitgp de}}et }bol IIF olm _^PF pcjlohclj

p`begep cttep~e`}ce ia o}gip~betc` }utduhel`e p}telj}b,

․  ]bete cp `tipp iet ia DET `ute ait IIF olm _^PF pcjlohclj p`begep zbc`bcg~hcep }bo} ait pige PLT tolje IIF pcjlohclj p`bege ~etaitgp de}}et }bol }be

_^PF pcjlohclj p`bege, ]bcp PLT tolje me`teopep zc}b cl`teope cl }be

}utduhel`e p}telj}b, Zbel }utduhel`e heeh cp hiz IIF pcjlohclj p`bege ohzosp

 ~etaitgp de}}et }bol _^PF pcjlohclj p`bege "teaet Acj,0,= "o##,

0>

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@bo~}et =

I^]C@OH P@CL]CHHO]CIL OLM O^ET]UTE OQETOJCLJ

Cl ol u~hclf olm mizlhclf i~}c`oh po}ehhc}e `iggulc`o}cil( hclf gup} de `o~odhe

ia mehcetclj o gimuho}em deog }i o te`ecclj mec`e zc}b gclcgoh mcp}it}cil ia }be

gimuho}em pcjloh, @iggulc`o}cil }btiujb }be o}gip~bete tepuh}p cl pcjloh mcp}it}cil

 de`oupe }be og~hc}ume olm ~bope ia }be deog cp tolmighs otcem iet }be ~ti~ojo}cil

  ~o}b, O}gip~betc` }utduhel`e ~bope mcp}it}cilp tepuh} cl cl}elpc}s mcp}it}cilp mue }i

p`cl}chho}cil }bo} ote me}e`}em o} }be te`ecet olm }beteds `ittu~} }be pcjloh claitgo}cil,

Gclcgc{o}cil ia }be ~bope mcp}it}cilp olm pudpequel}hs }be cl}elpc}s otco}cil `ol de

o`bceem ds temu`clj }be dolmzcm}b it ds upclj o~et}ute oetojclj ge}bim, Cl }bcp

`bo~}et( ~etaitgol`e ia }be u~hclf olm mizlhclf po}ehhc}e `iggulc`o}cil psp}eg

eg~hisclj otciup gimuho}cil p`begep e,j,( IIF( pud`ottcet D^PF olm pud`ottcet 

_^PF cl}elpc}s gimuho}cil zc}b o~et}ute oetojclj ge}bim cl }be o}gip~betc`

elctilgel} zchh de p}umcem,

=,?  Cl}timu`}cil

C} cp idpetem atig pcguho}cil tepuh}p ia `bo~}et 0 }bo} ~etaitgol`e ia }be psp}eg

eg~hisclj otciup gimuho}cil p`begep cp mejtomem mue }i o}gip~betc` i~}c`oh

p`cl}chho}cil, Op }utduhel`e p}telj}b cl`teopep( }be ~etaitgol`e ia }be psp}eg de`igep

  ~iitet, ]bcp bo~~elem gite cl IIF pcjlohclj p`begep }bol cl D^PF olm _^PF 

pcjlohclj p`begep, C} bop deel pbizl cl peetoh p}umcep }bo} }utduhel`e'clmu`em cl}elpc}s

ahu`}uo}cilp ote mep`tcdem ds }zi upeauh ~otoge}etp zbc`b ote m > }be `itteho}cil helj}b ia 

cl}elpc}s ahu`}uo}cilp olm ύ > }be `itteho}cil }cge ia cl}elpc}s ahu`}uo}cilp, Cl }s~c`oh

}ettep}tcoh hclfp zc}b zclm'mtcel }utduhel`e( }be `itteho}cil helj}b m i cp ia }be itmet ia ?'

?> `g ( zbche }be `itteho}cil }cge ύ > cp ia }be itmet ia ?'?> gp, Zbel }be te`ecet o~et}ute

0?

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mcoge}et  M T `ol de gome gu`b hotjet }bol }be `itteho}cil helj}b m > cl}elpc}s ahu`}uo}cilp

`ol de temu`em ds o~et}ute oetojclj, 

=,4  O~et}ute Oetojclj Ao`}it 

Op hcjb} ~ti~ojo}ep }btiujb }be o}gip~bete( c} cp tolmighs p`o}}etem ds

}utduhel`e clbigijelec}cep, O} pige mcp}ol`e atig }be piut`e( ol cttomcol`e ~o}}etl cp

 ~timu`em }bo} cp tolmig cl di}b p~o`e olm }cge, Ol i~}c`oh te`ecet zc}b o ets pgohh

o~et}ute zchh ~timu`e o tolmig pcjloh, Ca }be o~et}ute mcoge}et cp hotjet }bol }be p~o}coh

p`ohe ia }be cttomcol`e ahu`}uo}cilp( }be te`ecet zchh oetoje ahu`}uo}cilp iet }be

o~et}ute( olm }be pcjloh ahu`}uo}cilp zchh de hepp }bol }bipe atig o ~icl} te`ecet, ]bcp

 ~beligelil cp flizl op o~et}ute oetojclj,

]be o~et}ute oetojclj ao`}it  O cp meaclem op }be to}ci ia }be otcol`e ia }be pcjloh

ahu`}uo}cilp atig o te`ecet zc}b o~et}ute mcoge}et  M T }i }bo} atig o te`ecet zc}b ol

claclc}epcgohhs pgohh o~et}ute,

Ait o `ct`uhot o~et}ute ia mcoge}et  M T( }be o~et}ute oetojclj ao`}it  O `ol de ztc}}el op

V3W

" #" #

" #∦ 7?

>>2

? rmr rG 

 r M@  O  H

 C 

 T C    "=,?#

#" Ϗ  C @  cp }be `iotcol`e ia cl}elpc}s ahu`}uo}cilp olmzbete

" #⎥⎡⎭

⎤⎠⎯ ∔∔7 ∔ 4

?4? #?"`ip)4#"  r r r rG  H ώ   

cp }be i~}c`oh }tolpaet aul`}cil ia ol ulodetto}em `ct`uhot el}tol`e o~et}ute,

" # ,?> 88 C @   Liz `ilpcmetclj zeof p`cl}chho}cil ilhs zbete C} cp pbizl }bo} ait p~betc`oh

zoep }bo} }be o~et}ute oetojclj ao`}it `ol de ztc}}el op

#>" C @ 

 D O 7 "=,4#

zbete

Λ Λ Ρ⎙ ⎮

 ⎜⎘⎗ 

⎖ ∔7 ∦ ∦ 

m  a  a  H

 {  {  Hm{  D l T

 H

 p

5

> >

4

44 *#*"*=ώ  "=,0#

Λ Λ Ρ⎙ ⎮

 ⎜⎘⎗ 

⎖ ∔7 ∦ ∦ 

m  a  H

 {  {  Hm{ @  l

 H

 p C 

5

> >

4

44 *#*"*=#>" ώ  "=,=#

04

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v wfH {  H { ` a  p 4)#*"*pcl 44 ∔Λ 7 "=,5#

4

?

#4)*"

#4)*"4⎥⎡

⎭⎤⎠

Λ 

Λ 7

 H {  M

 H {  M K  a 

 T

 T T

"=,1#

olm ait }be Fihgijiti p~e`}tug0??4 #*">00,>#*(" ∔Λ ≂Λ Ρ  { @  {  ll  

Cl Eqp, "=,0# }i "=,1#( `ittep~ilmp }i }be hi`o}cil ia }be piut`e(>*7 {   H cp }be mcp}ol`e

  de}zeel }be piut`e olm }be te`ecet( }be i~}c`oh zoe lugdet( }be mcoge}et ia }be

te`ecclj ol}ello( olm cp }be Deppeh aul`}cil ia }be actp} fclm ia itmet ile, ]be olm

ote p~betc`oh zoe }utduhel} mcaato`}cil olm te`ecet ach}et aul`}cilp( tep~e`}cehs olm

cp flizl op teato`}ce clmer p}tu`}ute `ilp}ol}, Ait ~hole zoe ~ti~ojo}cil(

o~et}ute oetojclj ao`}it `ol de `oh`uho}em cl }be poge zos ds gimcasclj Eqp, "=,0# }i

"=,1# cl zbc`b }be ao`}it cp te~ho`em ds ulc}s,

"=,:#

 T Mf 

? K   p a 

 T a 

#*"4  { @ l

 H {  )*

Ait u~zotm ~ti~ojo}cil( }be }tolpetpe cttomcol`e `itteho}cil p`ohe helj}b cp

}s~c`ohhs gu`b jteo}et }bol }be o~et}ute mcoge}et ia te`ecclj ol}ello ia ~to`}c`oh

`il`etl( olm bel`e li o~~te`codhe o~et}ute oetojclj eaae`}p zchh tepuh} "c,e,( ?≂ O #, Ait 

mizlzotm ~ti~ojo}cil mcte`}cil( }be o}gip~betc` }utduhel`e cp hcgc}em }i }be ho}}et 

 ~it}cil ia }be ~ti~ojo}cil ~o}b zbete  H { ≂* , ]be aul`}cil cp lil{eti ilhs cl }be

tolje ( zbete ait o p~o`editl piut`e

#*"4  { @ l

 H {  H H ≭≭∔ *>  H H 88> olm }be quol}c}s cp ia }be

itmet ?> fg, Ds `boljclj otcodhep atig }i

> H

* {  * {  H {  ∔7 ( `ol de te~ho`em ds

( zbete `ittep~ilmp }i }be hi`o}cil ia }be te`ecet, Ait 

#*"4  { @ l

>7 { #"4  { @ l

 H M T

>4 << "=,2#

ohh }be }utduhel`e hcep cl }be leot acehm ia }be o~et}ute, Cl }bcp `ope olm jeige}tc`oh

i~}c`p aitguho}cil cp upem cl Eq, "=,0# ait `oh`uho}cil ia `ihhe`}em p`cl}chho}cil olm

o~et}ute oetojclj ao`}it cp jcel ds

?≂ p a 

" # 1):4

>> )  T Mb O O ζ ≂   "=,3#

zbete

3>,>#?0"

#0)?"

pcl

#"

=4)?0)?=

5

4?1)??

>

4

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0)4

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ΐ77

∦ 

∦ ∜

∜∔

ώ  rmr r

mr r K  r

 O "=,?>#

>

  00

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:)1

>

1)51)54

>

0)?44

>

#)?"#"

#)?"#"

⎥⎥⎥⎥⎥

⎤⎤⎤⎤⎤

7

∦ 

∦ ∔

 H

l

 H

l

 H {  {  { m{@ 

 H {  {  { m{@ 

b   "=,??#

ζ cp }be i~}c`oh zoehelj}b olm ΐ }be joggo aul`}cil, ]be quol}c}s cp flizl op ol

o}gip~betc` }utduhel`e o~et}ute oetojclj p`ohe becjb},

>b

?) 88 H { Ait ~hole zoep it ait p~betc`oh zoep zbete "c,e,(> H H << #( odie equo}cil

`ol de ztc}}el op

:)1

>

1)54

>

44

>

#"

#"

⎥⎥

⎥⎥⎥

⎤⎤

⎤⎤⎤

7

∦ 

∦  H

l

 H

l

 {  { m{@ 

 {  { m{@ 

b   "=,?4#

Ait ~ti~ojo}cil o} {elc}b oljheβ ( cp pcg~hs te~ho`em ds>b β pe`>b ,

Il }be i}bet bolm( ait 

 H M T

>4 88   "=,?0#

}be o~et}utep oetojclj ao`}it o~~tio`bep ulc}s zc}b }be o~~tircgo}cil upem cl

Eq,"=,0# olm }bup( ait erog~he o~et}ute mcoge}etp hotjet }bol o aez cl`bep erbcdc}

oetojclj eaae`}p ait cpcdhe hcjb}, ]bup zc}b }be beh~ ia Eq, "=,3#( ol eljcleetclj aitguho

`ol de `ilp}tu`}em zbc`b `ol de upeauh ait pgohh o~et}ute mcoge}et c,e,( `ol de upeauh

eel zbel clequohc}s "=,2# cp ciho}em, Cl ao`}( ait 

?≂ T a 

 {  M T

>4 88 ( ?≂ O olm }bup zc}biu}

tequctclj flizhemje ia  #" Ϗ  C @  ( }be o~et}ute oetojclj ao`}it `ol de o~~tircgo}em ds }be

eljcleetclj aitguho op

?1):

>

4

>pe`

?

⎥⎥⎡

⎤⎤⎠

⎙⎙ ⎮

 ⎜⎘⎘⎗ 

⎖ &≂ β ζ b

 M O O  T "=,?=#

zbete , ]bcp er~teppcil jcep }be o~et}ute oetojclj ao }̀it ait p~o`e'}i'jtiulm

 ~ti~ojo}cil `ilmc}cilp cl `hipem aitg olm cp }bup o~~hc`odhe ait psp}eg p}umcep ia o dtiom

`hopp ia o}gip~betc` }utduhel`e gimehp,

?,?> ≂ O

  0=

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=,0  O~et}ute Oetojclj olm Gimuho}cil p`begep

Cl zeof ahu`}uo}cil }beits( }be hijlitgoh gimeh pbizp }bo} }be cttomcol`e

otcol`e cp teho}em }i }be hij'cttomcol`e otcol`e ds V:W

"=,?5#?#er~"

44

cl} ∔7 h π π   

olm }be hij'og~hc}ume otcol`e cl }etgp ia hij'cttomcol`e zc}biu} o~et}ute oetojclj cp

jcel ds

?#=er~" 44

cl} ∔7  R π π    "=,?1#

Pcgchoths zc}b o~et}ute oetojclj( c} cp jcel ds

?#*=er~"* 44

cl} ∔7  R π π   

zbete olm ote }be hij'og~hc}ume otcol`e zc}b olm zc}biu} o~et}ute oetojclj(

tep~e`}cehs, ]be litgohc{em cl}elpc}s otcol`e o`tipp ol o~et}ute o} o ~icl} cl }cge( cp

jcel ds

"=,?:#

4* R π  4

 R π 

" #?#=er~" 44

cl} ∔7  R  O π π  "=,?2#

zbete cp }be o~et}ute oetojclj ao`}it V3W, O

Ds equo}clj Eqp, "=,?2# olm "=,?3#( }be hij'og~hc}ume otcol`e zc}b o~et}ute oetojclj

ao`}it `ol de jcel cl }etgp ia o~et}ute oetojclj ao`}it  O olm hij'og~hc}ume otcol`e

zc}b o~et}ute oetojclj op4

 R π 

" #V W??#=er~"hl=

?* 44 &∔7  R  R   O π π  "=,?3#

=,0,? IIF Cl}elpc}s Gimuho}cil P`bege

Cl `bo~}et 0( }be ~tidodchc}s ia ettit ait IIF cl}elpc}s gimuho}cil p`bege cl

o}gip~betc` elctilgel} zc}b ~icl} o~et}ute cp jcel ds Eq, "0,40#, Ait te`ecclj

ol}ello o~et}ute mcoge}et ( }be ~tidodchc}s ia ettit cp jcel ds te~ho c̀lj cl Eq,

"0,40# ds op

 T M 4

 R π 

4* R π 

" #" #

mr]  r

_e r

 ^ e] _ ^  ^ 

l

 rt  r

 R 

lel R 

 R 

⎙⎙ ⎮

 ⎜⎘⎘⎗ 

⎖  ∔∔&7 ⎥

⎥⎡

⎤⎤⎠

⎯ ∔&∔∜∔

∦  π π ώ π 

π π 

π 

4?

*4

#?" 4

4

4

44

4

4

*4

hl

>

44

>4

*

>  "=,4>#

05

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zbete "V W??#=er~"hl=

?* 44 &∔7  R  R   O π π 

?1):

>

4

>pe`

?

⎥⎥

⎤⎤

⎙⎙ ⎮

 ⎜⎘⎘⎗ 

⎖ &≂

β ζ b

 M O O  T# olm

=,0,4 Pud`ottcet D^PF Cl}elpc}s Gimuho}cil P`begeCl `bo~}et 0( }be ~tidodchc}s ia ettit ait pud`ottcet D^PF cl}elpc}s gimuho}cil

p`bege cl o}gip~betc` elctilgel} zc}b ~icl} o~et}ute cp jcel ds Eq, "0,00#, Ait 

te`ecclj ol}ello o~et}ute mcoge}et ( }be ~tidodchc}s ia ettit cp jcel ds te~ho`clj

cl Eq, "0,00# ds op

 T M

4

 R π  4* R π 

mr r

_e r

e ^ 

l

 r

 R 

e R 

 R 

⎙⎙ ⎮

 ⎜⎘⎘⎗ 

⎖ 7

∔∜∔

∦  π 

ο 

π ώ 

π 

π 

4

44

*4

hl

>

44

4

*

?

*4"=,4?#

zbete olm4* R π  ote poge op cl `ope ia IIF cl}elpc}s gimuho}cil p`bege, O

 

=,0,0 Pud`ottcet _^PF Cl}elpc}s Gimuho}cil P`bege

Pcgchoths cl `bo~}et 0( }be ~tidodchc}s ia ettit ait pud`ottcet _^PF cl}elpc}s

gimuho}cil p`bege cl o}gip~betc` elctilgel} zc}b ~icl} o~et}ute cp jcel ds Eq,

"0,0=#, Cl }be poge zos op cl `ope ia IIF olm D^PF pcjlohclj p`begep( }be ~tidodchc}s

ia ettit ait te`ecclj ol}ello o~et}ute mcoge}et ( cp jcel ds te~ho c̀lj cl Eq,

"0,0=# ds op

 T M 4 R π 

4* R π 

mr r

_e r

e ^ 

l

 r

 R 

e R 

 R 

⎙⎙

 ⎮

 ⎜⎘⎘⎗ 

⎖ 7

∔∜∔

∦ π 

ο 

π ώ 

π 

π 

4

?

*4

4

44

*4

hl

>

44

4

*

"=,44#

zbete olm4* R π  ote poge op cl `ope ia i}bet gimuho}cil p`begep, O

 

=,=  ]tolp`ecet Pe}u~ ait O~et}ute Oetojclj

]be p`bego}c` ia }be jtiulm i~}c`oh equc~gel} ait o~et}ute oetojclj cp pbizl cl

Acj, =,?, ]be otcodhe o~et}ute }ehep`i~e cp upem op te`ecclj ol}ello ait mizlhclf 

`iggulc`o}cil, ]be o~et}ute mcoge}et `ol de `il}tihhem o``itmclj }i }utduhel`e p}telj}b

ait zbc`b o @@M `ogeto cp upem, Oli}bet }ehep`i~e zc}b acrem mcoge}et il }be pcme ia c}

01

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cp upem op }tolpgc}}clj ol}ello ait u~hclf, ]be o~et}ute mcoge}et ia }tolpgc}}clj }ehep`i~e

cp hepp }bol }be o~et}ute mcoge}et ia te`ecclj }ehep`i~e, Ait ~icl}clj }be hopet deog }i

}be po}ehhc}e( o quomtol} me}e`}it cp upem zc}b cpiho}cil ia }be mc`btic` gcttit,

Acj, =,? P`bego}c` ia i~}c`oh hosiu} ia jtiulm equc~gel} V?W

]be p`bego}c` ia }be po}ehhc}e'ditle i~}c`oh equc~gel} zc}biu} o~et}ute oetojclj cp

pbizl cl Acj, =,4, ]be jcgdoh gcttit cp upem ait mizlhclf `iggulc`o}cil, Acle olm

`iotpe }to`fclj psp}egp zete duch}'cl }i ~icl} }be deog }i }be jtiulm p}o}cil, ]be acle'

}to`fclj psp}eg cp `ig~ipem ia }be quomtol} me}e`}it "_M# olm }be acle ~icl}clj gcttit(

olm }be `iotpe'}to`fclj psp}eg cp `ig~ipem ia }be @@M olm }be jcgdoh gcttit,

Acj, =,4 P`bego}c` ia i~}c`oh hosiu} ia po}ehhc}editle jtiulm equc~gel} V?W 

0:

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=,5 Pcguho}cil Tepuh}p olm Mcp`uppcil

@ilpcmetclj Bualojeh'Qohhes Diulmots gimeh ia o}gip~betc` }utduhel`e olm

Dua}il zclm ~tiache( }be o}gip~betc` }utduhel`e o~et}ute oetojclj p`ohe becjb} olm

tgp zclm p~eem Q o} p`ohe becjb} ote `oh`uho}em, ]be `oh`uho}em ohuep ia p`ohe becjb} olm

tgp zclm p~eem o} p`ohe becjb} ote ?>,0 fg olm 01 g)pe`( tep~e`}cehs, ]bepe }zi ohuep

ote upem cl pcguho}cil, Cl }bcp pcguho}cil ilhs mizlhclf `iggulc`o}cil ~o}b cp

`ilpcmetem op ait u~hclf }be eaae`}p ia }utduhel`e cp li} gu`b olm }be }tolpetpe

cttomcol`e `itteho}cil p`ohe helj}b cp }s~c`ohhs gu`b jteo}et }bol }be o~et}ute mcoge}et ia 

te`ecclj ol}ello ia ~to`}c`oh `il`etl( olm bel`e li o~~te`codhe o~et}ute oetojclj

eaae`}p zchh tepuh},

>b

 

  IIF Cl}elpc}s gimuho}cil p`bege zc}b o~et}ute oqetojclj

"o#

π

 

r47>,5 

02

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"d#

π

 

Acj, =,0 pbizp }be ~etaitgol`e ia }be psp}eg ulmet `ilpcmeto}cil eg~hisclj IIF 

cl}elpc}s gimuho}cil p`bege }btiujb o}gip~betc` elctilgel} zc}b o~et}ute oetojclj

ait mizlhclf, Atig }be pcguho}cil tepuh}p( }be aihhizclj `il`hupcilp `ol de gome

․  Aomclj clmu`em mejtomo}cil `ol de temu`em ds o~et}ute oetojclj ge}bim, ]be

heeh ia cg~tiegel} cl`teopep zc}b }be cl`teope cl }be o~et}ute mcoge}et, O}

pige o~et}ute mcoge}et( }be ~etaitgol`e de`igep ets `hipe }i OZJL, ]bcp

ohue ia o~et}ute mcoge}et me~elmp il }be }utduhel`e p}telj}b,

․  Cl `ope ia hiz }utduhel`e p}telj}b( }bete cp `et}oclhs ol cg~tiegel} cl }be

  ~etaitgol`e du} heeh ia cg~tiegel} cp li} ets gu`b "teaet }i Acj,=,0 "d##,

Bizeet cl `ope ia bcjb }utduhel`e p}telj}b "πr

4

7>,5#( }be cg~tiegel} cl }be ~etaitgol`e cp ets pcjlcac`ol} "teaet }i Acj,=,0 "o##, Ait erog~he o} }be PLT ia 

?4 mD( }be DET cl ~tepel`e ia OZJL ilhs cp o~~tircgo}ehs equoh }i

olm cl ~tepel`e ia }utduhel`e zc}b ~icl} o~et}ute c} cp o~~tircgo}ehs equoh }i

, Zc}bcl o~et}ute mcoge}et ia ?5 `g( ?1 `g( olm ?: `g c} temu`ep }i

5?>5∔Ú

4?>3∔Ú

r47>,? 

Acj, =,0 Qotco}cil ia DET zc}b PLT cl o}gip~betc` elctilgel} zc}b olm zc}biu}

o~et}ute oetojclj ait "o# πr4 47>,5 olm "d# π 7>,?r

  03

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o~~tircgo}ehs ( olm (tep~e`}cehs, Zbel o~et}ute mcoge}et  

cp ?2 `g( }be DET cp o~~tircgo}ehs zbc`b cp ohgip} poge op cl `ope ia 

OZJL "teaet }i Acj,=,0 "o##,

4?>4∔Ú 0?>=

∔Ú =?>=∔Ú

5?>:∔Ú

․  O} o~et}ute mcoge}et ia ?0 `g( }be cg~tiegel} cl ~etaitgol`e cp li} ets

gu`b, ]be ~bspc`oh teopil ia }bcp cp }bo} ca  > H M T ζ << }bel ilhs o~et}ute

oetojclj ge}bim cp o~~hc`odhe i}betzcpe }be o~et}utep oetojclj ao`}it 

o~~tio`bep ulc}s olm }beteaite jcep li cg~tiegel}, ]be `oh`uho}em ohue ia 

lg> Hζ  ?55>7ζ cp equoh }i ?4,5 `g o} zbc`b cihel} }be odie `ilmc}cil ait 

o~et}ute oetojclj ge}bim o} o~et}ute mcoge}et ia ?0 `g olm }beteaite jcep

lejhcjcdhe cg~tiegel} op `ig~otem }i }be bcjbet o~et}ute mcoge}et,

  Pud`ottcet D^PF Cl}elpc}s gimuho}cil p`bege zc}b o~et}ute oqetojclj

"o#

π

 

r47>,5 

=>

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"d#

Acj, =,= pbizp }be ~etaitgol`e ia }be poge psp}eg ulmet `ilpcmeto}cil eg~hisclj

pud`ottcet D^PF cl}elpc}s gimuho}cil p`bege }btiujb o}gip~betc` elctilgel} zc}b

o~et}ute oetojclj, Atig }be pcguho}cil tepuh}p( }be aihhizclj `il`hupcilp `ol de mtozl

․  Op cl `ope ia IIF pcjlohclj p`bege( cl }bcp pcjlohclj p`bege ohpi }be eaae`}p ia 

o}gip~betc` }utduhel`e `ol de temu`em ds o~et}ute oetojclj ge}bim,

․  O} bcjb }utduhel`e p}telj}b( }be eaae`} ia o~et}ute oetojclj cp gu`b gite

  ~tiliul`e }bol o} hiz }utduhel`e p}telj}b, Ohpi o} hiz PLT( }be o~et}ute

oetojclj eaae`} cp li} gu`b du} o} bcjb PLT c} cp quc}e cpcdhe,

․  ]be o~et}ute oetojclj eaae`} cp li} gu`b gite ~tiliul`em cl }bcp pcjlohclj

p`bege }bol cl }be IIF pcjlohclj p`bege ait }be poge }utduhel`e p}telj}b, ]be

  ~bspc`oh teopil ia }bcp cp }bo} }be o~et}ute oetojclj ge}bim oetoje iu} }be

cl}elpc}s ahu`}uo}cilp zbc`b cp gite cl IIF pcjlohclj p`bege iet el}cte

`ihhe`}clj o~et}ute mcoge}et, @ilpequel}hs }be psp}eg ~etaitgol`e cg~tiegel}

cp gu`b hepp cl D^PF pcjlohclj p`bege ait }be poge }utduhel`e p}telj}b olm

o~et}ute mcoge}et,

πr47>,? 

Acj, =,= Qotco}cil ia DET zc}b PLT cl o}gip~betc` elctilgel} zc}b olm zc}biu}

o~et}ute oetojclj ait "o# πr4 47>,5 olm "d# π 7>,?r

  =?

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  Pud`ottcet _^PF Cl}elpc}s gimuho}cil p`bege zc}b o~et}ute oqetojclj

"o#

π

 

πr47>,?

r47>,5 

"d#

Acj, =,5 Qotco}cil ia DET zc}b PLT cl o}gip~betc` elctilgel} zc}b olm zc}biu}

o~et}ute oetojclj ait "o# πr4 47>,5 olm "d# π 7>,?r

  =4

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Acj, =,5 pbizp }be ~etaitgol`e ia }be poge psp}eg ulmet `ilpcmeto}cil eg~hisclj

pud`ottcet _^PF cl}elpc}s gimuho}cil p`bege }btiujb o}gip~betc` elctilgel} zc}b

o~et}ute oetojclj, Atig }be pcguho}cil tepuh}p( }be aihhizclj `il`hupcilp egetjem iu}

․  Op cl `ope ia IIF olm D^PF pcjlohclj p`begep( cl _^PF ohpi }be eaae`} ia 

o}gip~betc` }utduhel`e `ol de temu`em ds o~et}ute oetojclj ge}bim,

․  Cl _^PF pcjlohclj p`bege `ope( }be o~et}ute oetojclj cp gite ~tiliul`e o}

bcjb PLT zbel }utduhel`e p}telj}b cp bcjb, O} hiz }utduhel`e p}telj}b( o~et}ute

oetojclj eaae`} jcep cpcdhe cg~tiegel} o} bcjb PLT, ]bcp }telm cp poge op cl

`ope ia D^PF,

 @ig~otcpil ia IIF zc}b pud`ottcet D^PF olm _^PF cl}elpc}s gimuho}cilait mcaaetel} heqehp ia aomclj

"o#

πr47>,5 olm M7?2 `g

=0

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"d#

πr47>,5 olm M7?: `g

"`#

πr47>,5 olm M7?1 `g

==

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"m#

Atig pcguho}cil tepuh}p op pbizl cl Acj, =,1 "o#( c} cp idpetem }bo} o} bcjb }utduhel`e

p}telj}b }be ~etaitgol`e ia IIF pcjlohclj p`bege zc}b o~et}ute oetojclj ge}bim"M7?2 `g# o~~tio`bep }i }be ~etaitgol`e ia D^PF pcjlohclj p`bege, ]bcp tepuh} cp ets

pcjlcac`ol} atig ~to`}c`oh ~icl} ia cez pcl`e cg~hegel}o}cil ia IIF pcjlohclj p`bege

cp gu`b eopcet }bol }be D^PF olm _^PF pcjlohclj p`begep cl i~}c`oh le}zitfp, Zc}b

}bcp p}ums( c} cp `il`humem }bo} IIF cl}elpc}s gimuho}cil p`bege `ol de upem cl u~hclf 

olm mizlhclf po}ehhc}e `iggulc`o}cil psp}eg zc}b o~et}ute oetojclj ge}bim o} bcjb

}utduhel`e p}telj}b,

πr47>,5 olm M7?5 `g

Acj, =,1 @ig~otcpil ia IIF zc}b pud`ottcet D^PF olm _^PF cl}elpc}s gimuho}cil o}

aomclj p}telj}b π4

r 7>,5 ait mcaaetel} mcoge}etp "o# M7?2 `g( "d# M7?: `g( "`# M7?1 `g(

olm "m# M7?5 `g

=5

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@bo~}et 5

HCLF ^ETAITGOL@E

Op i~}c`oh pcjloh }tolpgc}}em atig jtiulm p}o}cil }i po}ehhc}e it po}ehhc}e }i jtiulm

p}o}cil( o}gip~bete hcgc}p }be hclf ~etaitgol`e mue }i oetipih odpit~}cil( p`o}}etclj olm

}utduhel`e, Cl ommc}cil }i ohh }bepe mejtomo}cil ao`}itp( licpe ohpi hcgc}p }be ~etaitgol`e

ia u~hclf olm mizlhclf i~}c`oh po}ehhc}e `iggulc`o}cil psp}eg, Cl }bcp `bo~}et( o

go}bego}c`oh gimeh ait i~}c`oh pcjloh( licpe olm hclf dumje} zchh de metcem olm c} zchh de

pbizl }bo} biz licpe cl`humclj do`fjtiulm licpe( odpit~}cil( p`o}}etclj olm }utduhel`e

oaae`} }be hclf ~etaitgol`e,

5,? Licpe Gimeh

 Licpe hcgc}p }be ~etaitgol`e ia ols `iggulc`o}cil psp}eg, Cl ommc}cil }i licpe

pu`b op }betgoh( motf `uttel}( hopet teho}ce cl}elpc}s licpe "TCL#( olm pcjloh pbi} licpep(

cl u~hclf olm mizlhclf i~}c`oh po}ehhc}e `iggulc`o}cil "IP@# psp}eg( ze boe }i

`ilpcmet }be eaae`} ia do`fjtiulm licpe, Cl `ope ia i~}c`oh ~teog~hcacet( }be OPE cp ol

ommc}ciloh licpe piut`e }bo} gcrep zc}b }be pcjloh( di}b zc}b c}peha olm }ije}bet zc}b

  do`fjtiulm tomco}cil, ]be `uguho}ce licpe cp jcel ds "oppugclj ol ommc}ce zbc}e

Jouppcol licpe gimeh# V0W

444444

 TCL ]B  DJPL  M@  L  π π π π π π  &&&&7 WV 4 O

zbete  M@ π  cp }be motf `uttel} licpe( PL π  }be pcjloh pbi} licpe(  DJπ  }be do`fjtiulm

licpe(

"5,?#

]B π  }be }betgoh licpe olm(  TCL π  }be TCL, C} cp `heot }bo} licpe cl`teopep zbel

upclj ol i~}c`oh og~hcacet it ol O^M,

=1

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c,  ]betgoh licpe

]be `uttel} otcol`e cl }be me}e`}it }bo} tepuh}p atig Kiblpil "}betgoh# licpe cp

jcel ds V0W

 H

 D]B   D

 T]A f =4 7π  "5,4#WV 4 O

zbete cp }be hiom tepcp}ol`e( ]  }be licpe }eg~eto}ute ia }be ehe`}tilc` psp}eg(

}be te`ecet ehe`}tilc` dolmzcm}b( }be licpe acjute ia }be psp}eg olm 

}be Dih}{goll `ilp}ol},

 H T

 Df Z  D  A 

 

cc,  Motf `uttel} licpe

]be `uttel} otcol`e cl }be me}e`}it }bo} tepuh}p atig }be motf `uttel} ia }be ~bi}imcime `ol de er~teppem ds V0W

Z  M M@   DqC 44 7π  WV 4 O "5,0#

zbete cp }be ~bi}imcime motf `uttel}, M C 

 

ccc,  Pcjloh pbi} licpe

]be pcjloh pbi}'licpe otcol`e cl }be me}e`}it }bo} tepuh}p atig }be te`ecem pcjloh

cp jcel ds V0W

"5,=#Z  TPL   DqT^ 44 7π  WV 4

 O

zbete cp }be te`ecem pcjloh ~izet, T ^ 

 

cq,  Teho}cqe cl}elpc}s licpe

]be pcjloh `uttel} otcol`e mue }i hopet–p teho}ce cl}elpc}s licpe " TCL # cl }be

 ~tepel`e ia ulcaitg p~e`}toh melpc}s cp jcel ds V0W

" # Z  T

 TCL 

 TCL   D T^ 4?>4 ?>7π  "5,5#WV 4 O

zbete TCL cp }be teho}ce cl}elpc}s licpe ao`}it,

=:

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q,  Do`fjtiulm licpe

Do`fjtiulm tomco}cil atig }be Pul( ot}cac`coh chhugclo}cil( it i}bet piut`ep ia 

teahe`}em it p`o}}etem hcjb} ote ol ulmepctem piut`e ia ~izet }i te`ecetp, ]bcp cp o

p~e`cac` i~}c`oh `iggulc`o}cilp ~tidheg tepuh}clj atig bcjb eletjs ~bi}ilp o}i~}c`oh zoehelj}bp( zbc`b `teo}ep pbi} licpe, ]be do`fjtiulm i~}c`oh ~izet 

te`ecem ds }be }ehep`i~e cp id}oclem ds guh}c~hsclj }be do`fjtiulm tomcol`e( }be

i~}c`oh ach}et dolmzcm}b( }be }ehep`i~e acehm ia cez( olm }be }ehep`i~e o~et}ute

pc{e( olm cp jcel ds V0W

ώ ζ =

4

 T T DJ

 M L  ^  ΣΝ7 "5,1#WVZ 

zbete cp }be te`ecet mcoge}et "g#( T M ζ Ν }be ach}et dolmzcm}b "g#( Σ }be

te`ecet acehm ia cez( olm }be tomcol`e "Z)g4 T L  ,pt,θg#, Ait mcaato`}cil hcgc}em

te`ecet acehm ia cez( cp jcel op V??WΣ

4

4=

 T Mώ 

ώζ 7Σ "5,:#

olm }bup Eq,"5,1# `ol de ztc}}el op

"5,2#η η  Ν7 #"l DJ P  ^   

zbete

4

#" ζ η   Tl  L P 7

]be do`fjtiulm pbi} licpe otcol`e cp jcel ds V0W

"5,3#Z  DJ DJ  DqT^ 44 7π  WV 4 O

 ]bup }be }i}oh licpe otcol`e zc}biu} ols pcjloh cp jcel ds V4W

"5,?>#4444

> ]B  DJ M@  π π π π  &&7  

olm }be otcol`e zc}b ol i~}c`oh pcjloh cp jcel ds V4W 

"5,??#444444

?  TCL ]B  DJPL  M@  π π π π π π &&&&7

 

5,4 Pcjloh'}i'licpe To}ci

]be PLT zc}biu} }utduhel`e cp meaclem op }be to}ci de}zeel }be pcjloh olm }be

licpe ~izet op aihhizp

=2

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" #4

?

4

>

4

>

π π  &77  T ^  T

 ^izet ]i}ohLicpe

t Pcjloh^izePLT  

zbete cp }be tep~ilpcc}s ia ^CL me}e`}it,> T

 

5,0  Hclf Dumje}

]be i~}c`oh pcjloh te`ecem o} }be te`ecet cp id}oclem ds guh}c~hsclj }be

}tolpgc}}et ~izet( }ehep`i~e jocl( olm hippep( olm cp jcel ds V4W

]  AP @b A  T]  T]  T  ^  H] ] JJ ^  κ κ 7  

zbete cp }be }tolpgc}}et ~izet(]  ^  ] κ  olm   Tκ  ote i~}c`p eaac`cel`s ia }tolpgc}}et olm

te`ecet tep~e`}cehs( olm }be }tolpgc}}et olm te`ecet ol}ello "}ehep`i~e# joclp(

tep~e`}cehs( }be i~}c`oh ach}et }tolpgcppcc}s( }be atee'p~o`e hipp olm }be

o}gip~betc` `bolleh }tolpgcppcil `ieaac`cel} "cl`humclj }utduhel`e( odpit~}cil olm

p`o}}etclj eaae`}p# jcel op

"5,??#

] J  TJ

 A ]   AP  H @b] 

"5,?4# po} @b ] ] ] ]  7

zbete ( ( olm p}olm ait }utduhel`e( odpit~}cil olm p`o}}etclj tep~e`}cehs,**}  **o ** p

]be }tolpgc}}et ol}ello jocl "mcaato`}cil hcgc}em# cp jcel ds

4

⎙ ⎮

 ⎜⎘⎗ 

⎖ ≂

ζ 

ώ  ] 

Z J "5,?0#

Bete Z ]  cp }be }tolpgc}}et o~et}ute mcoge}et olm  ζ }tolpgcppcil zoehelj}b, Pcgchoths

er~teppcil ait te`ecet ol}ello jocl cp jcel ds

4

⎙ ⎮

 ⎜⎘⎗ 

⎖ ≂

ζ 

ώ   T T

 MJ   "5,?=#

Bete M T cp }be te`ecet o~et}ute mcoge}et, ]be atee p~o`e hipp cp jcel ds

4

=⎙ ⎮

 ⎜⎘⎗ 

⎖ ≂

 [  H AP 

ώ 

ζ   "5,?5#

Bete [ cp }be mcp}ol`e de}zeel }tolpgc}}et olm te`ecet,

Equo}cil "5,??# pbizp }be teho}cilpbc~ de}zeel }tolpgc}}em olm te`ecem ~izet heehp op

pbizl cl dhi`f mcojtog ia dopc` p`bege, Ca ze fliz }be gclcgug tequctem te`ecem

=3

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  ~izet ait jcel dc} ettit to}e }bel ds upclj Equo}cilp "5,??# }i "5,?5#( ze `ol aclm

iu} }be tequctem }tolpgc}}em ~izet heeh , Cl itmet }i me}etgcle ( ze boe }i acr }be

gimuho}cil p`bege( te`ecet p}tu`}ute olm }bel ze gup} cl`hume }be otciup }s~ep ia 

licpep cl }be te`ecet olm }be do`fjtiulm licpe ~c`fem u~ ds }be te`ecet V4W,

 T ^ 

]  ^   T ^ 

 

5,0  Pcguho}cil Tepuh}p olm Mcp`uppcil

Mcaaetel} ~otoge}etp }ofel cl `oh`uho}cil ote V4W

Do`fjtiulm licpe ~pm mue }i Pul  [  B Z )4>?>>,0#" ∔Ú≂η lP 

  lg o}I~}c`oh dolmzcm}b ?>7Νζ  ?55>7ζ    lg

Ehe`}tc`oh dolmzcm}b 5>>7Z  D    [ GB 

_uol}ug eaac`cel`s ia ~cl me}e`}it  :,>7κ ?>>7 H THiom tepcp}ol`e Σ  

@ct`uc} licpe acjute =7 A 

43>7]   F >Equcohel} }eg~eto}ute

lO  ?7 M C ^bi}imcime motf `uttel}

Mcaaetel} `oh`uho}em ~otoge}etp ote

22,>> 7 T  ^bi}imcime tep~ilpcc}s

Do`fjtiulm ~izet 5,0:7 DJ ^    lZ 

Do`fjtiulm pbi} licpe otcol`e 4 O?24 ?>42,5 ∔Ú7 DJπ 

]betgoh licpe otcol`e ?04 ?>4,0 ∔Ú7]B π  4 O

Motf `uttel} licpe otcol`e 4 O?34 ?>1,? ∔Ú7 M@ π 

 

Zc}b ohuep op jcel odie( gclcgug tequctem oetoje ~izet  ^  T  cl  mDg o} o

mo}o to}e  ia 5>> Gd~p ait mcte`} me}e`}cil "^CL# te`ecet ait IIF pcjlohclj p`bege

zc}biu} }utduhel`e ait jcel DET cp `oh`uho}em, Qotco}cil ia DET zc}b gclcgug

tequctem oetoje ~izet  ^  T cl mDg cp pbizl cl Acj, "5,?#,

5>

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 Acj,5,? Qotco}cil ia DET zc}b gclcgug tequctem oetoje ~izet cl mDg zc}biu}

aomclj

Atig }be odie ~hi}( ile `ol aclm iu} }be gclcgug tequctem te`ecem ~izet  ^  T ait jcel

 dc} ettit to}e olm }bel ds upclj Equo}cilp "5,??# }i "5,?5#( ze `ol aclm iu} }be gclcgug

tequctem }tolpgc}}em ~izet heeh ^ ]  ait acrem hclf tolje }i o`bcee mepctem dc} ettit to}e

zc}biu} }utduhel`e, Zc}b }utduhel`e }be gclcgug tequctem ~izet ait poge hclf tolje cp`oh`uho}em olm jcel cl ]odhe 5,?, Bete IIF pcjlohclj p`bege cp upem,

Cl hclf dumje}clj( te`ecet ol}ello eaac`cel`s  Tκ  olm }tolpgc}}et ol}ello eaac`cel`s ] κ   

ote }ofel op 5>%, Dopem il pcguho}cil tepuh}p op pbizl cl Acjp, "=,?o# olm "=,=o# te`ecet 

ol}ello mcoge}et ait mizlhclf cp }ofel ?2 `g ait de}}et ~etaitgol`e olm ait u~hclf c} cp

}ofel op ?4,5 `g zbc`b cp }be gclcgug te`ecet ol}ello mcoge}et o} zbc`b te`ecet cp

}teo}em op o ~icl} te`ecet, Op atig ~teciup p}umcep( c} `ol de peel }bo} ait u~hclf 

o~et}ute oetojclj cp li} upeauh olm }bcp cp }be teopil ia }ofclj te`ecet o~et}ute mcoge}et 

?4,5 `g ait u~hclf,

5?

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]odhe 5,? Hclf dumje} ait u~hclf olm mizlhclf po}ehhc}e `iggulc`o}cil psp}eg zc}b o~et}ute

oetojclj o} 5>> Gd~p mo}o to}e ait ,0?>∔7 DET

 

Mizlhclf U~hclf 

"po}ehhc}e }i jtiulm# "jtiulm }i po}ehhc}e#]tolpgc} ~izet ? Z ? Z

0> mDg 0> mDg

Zoehelj}b ?55> lg ?55> lg

]r ol}ello o~et}ute mcoge}et ?4,5 ̀ g ?4,5 ̀ g

]r ol}ello jocl ?>2,>: mD ?>2,>: mD

]r hipp '4,> mD '4,> mD

Mcp}ol`e =>> fg =>> fg

Atee p~o`e hipp '45>,44 mD '45>,44 mD

Tr ol}ello o~et}ute mcoge}et ?2 ̀ g ?4,5 ̀ g

Tr ol}ello jocl ???,4= mD ?>2,>: mD

Tr hipp '4,> mD '4,> mD

O}gip~betc` hipp '5,> mD '0,> mD

P}tebh to}ci '>,= mD '>,= mD

Poae}s gotjcl 5 mD 5 mD

Te`ece ~izet '4?,0? mDg '44,=2 mDg

Tequctem ~izet '45,5? mDg '45,5? mDg

Hclf gotjcl =,4 mD 0 mD

54

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@bo~}et 1

@IL@HUPCIL OLM AU]UTE P@I^E IA ]BE ^TIKE@]

Il }be dopcp ia pcguho}cil tepuh}p ~tepel}em cl `bo~}et 0(= olm 5( cl }be aihhizclj

pe`}cil( `il`hupcilp ia }be p}umcep ote jcel,

1,?  @il`hupcilp

․  Cl }bcp ~tike`} mcaaetel} gimehp mep`tcdclj }be debocit ia o}gip~betc` }utduhel`e

ote p}umcem olm c} cp aiulm }bo} li ile gimeh cp auhhs `o~odhe }i mep`tcde }be

o}gip~betc` }utduhel`e du} Bualojeh'Qohhes Diulmots "BQD# gimeh cp aiulm }i

 de teopilodhe jiim }i mep`tcde }be ~o}b me~elmel} zeof }utduhel`e,

․  ]be p}olmotm meco}cil ia hij og~hc}ume cp `oh`uho}em upclj BQD gimeh olm

aiulm }bo} c} cp zehh zc}bcl }be hcgc}p ait di}b u~hclf olm mizlhclf po}ehhc}e

`iggulc`o}cilp,

․  Psp}eg ~etaitgol`e eg~hisclj mcaaetel} gimuho}cil p`begep hcfe IIF 

cl}elpc}s gimuho}cil( pud`ottcet D^PF olm pud`ottcet _^PF cl}elpc}s gimuho}cil

ote p}umcem ulmet o}gip~betc` elctilgel} olm c} cp aiulm }bo} ohh gimuho}cil

p`begep ote oaae`}em mue }i }utduhel`e clmu`em aomclj,

․  Cl IIF pcjlohclj p`bege( omo~}ce }btepbihm zbc`b me~elmp u~il }utduhel`e

p}telj}b cp }ofel olm c} cp ohpi aiulm }bo} IIF pcjlohclj p`bege cp gite oaae`}em

}bol D^PF olm _^PF pcjlohclj p`begep mue }i }utduhel`e clmu`em aomclj c,e,(

DET cl`teope gite to~cmhs op }utduhel`e p}telj}b cl`teope ait }be poge ohue ia 

PLT,

50

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․  C} cp idpetem }bo} zc}b omo~}ce }btepbihm pcguho}cil jcep ohcm tepuh} ait 

p}olmotm meco}cil ia hij'og~hc}ume ahu`}uo}cil jteo}et }bol >,?, O} hepp }bel }bcp

ohue }btepbihm ohue o~~tio`bep }i ulc}s olm }beteaite }be go}bego}c`oh gimeh

 de`igep clohcm,

․  Psp}eg ~etaitgol`e eg~hisclj D^PF pcjlohclj p`bege cp de}}et }bol IIF 

pcjlohclj p`bege cl o}gip~betc` elctilgel} olm ile `ol upe D^PF pcjlohclj

p`bege cl hiz }utduhel`e p}telj}b,

․  ]i temu`e }be }utduhel`e clmu`em aomclj o ge}bim flizl op o~et}ute oetojclj

ge}bim cp upem zc}b ohh gimuho}cil p`begep cl o}gip~betc` elctilgel} olm c} cp

aiulm }bo} cg~tiegel} cl psp}eg ~etaitgol`e eg~hisclj IIF cl}elpc}s

gimuho}cil cp gite }bol pud`ottcet D^PF olm pud`ottcet _^PF cl}elpc}s

gimuho}cil p`begep ait poge o~et}ute mcoge}et olm poge PLT o} bcjb

}utduhel`e p}telj}b c,e,( DET me`teope gite ait IIF pcjlohclj p`bege }bel

D^PF olm _^PF pcjlohclj p`begep ait poge o~et}ute mcoge}et olm poge PLT o}

bcjb }utduhel`e p}telj}b,

․  C} cp idpetem }bo} op o~et}ute mcoge}et cl`teopep ~etaitgol`e cg~tiegel}

teo`bep }i ohgip} o ~eof ait ~ot}c`uhot }utduhel`e p}telj}b olm oa}et o ~ot}c`uhot 

o~et}ute mcoge}et cg~tiegel} cl psp}eg ~etaitgol`e cp ets hepp, ]bcp cp }tue

ait ohh gimuho}cil p`begep cttep~e`}ce ia }utduhel`e p}telj}b,

․  Op IIF pcjlohclj p`bege cp }be pcg~hep} ile }i cg~hegel} cl i~}c`oh

`iggulc`o}cilp du} c}p ~etaitgol`e cp ets gu`b oaae`}em ds }be aomclj, C} cp

idpetem atig }be pcguho}cil tepuh}p }bo} zc}b o~et}ute oetojclj }bete cp o

pcjlcac`ol} cg~tiegel} cl c}p ~etaitgol`e olm }beteaite c} `ol de upem cl

o}gip~betc` elctilgel},

․  Cl }bcp ~tike`} hclf dumje}clj ait u~hclf olm mizlhclf de}zeel eot}b olm hiz

eot}b itdc} po}ehhc}e }ofclj =>> fg ia hclf tolje cp gome olm c} cp aiulm }bo} }be

`oh`uho}em ohue ia hclf gotjcl cp odiu} =,4 mD ait mizlhclf olm 0 mD ait u~hclf 

o} ? Z }tolpgc}}em ~izet,

5=

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1,4  Au}ute P`i~e

Cl u~hclf olm mizlhclf po}ehhc}e `iggulc`o}cil( }bete ote }zi ao`}itp zbc`b

mejtome }be psp}eg ~etaitgol`e, Ile cp }be o}gip~betc` `bolleh zbc`b bop ohteoms

mcp`uppem cl }bcp ~tike`} olm i}bet cp }to`fclj olm ~icl}clj ia hopet deog atig eot}b }i

po}ehhc}e olm c`e etpo, ]bcp ~tidheg goclhs otcpep mue }i cdto}cilp olm }bup ile `ol

cl`hume c} }i pcguho}e }be psp}eg ~etaitgol`e, Ait }bcp }bete cp ile ohjitc}bg flizl op

o`qucpc}cil ohjitc}bg( `ol de upem, ]be ~ut~ipe ia c} cp }i `ig~elpo}e hotje ~icl}clj

ettitp de}zeel }be eot}b dope p}o}cil olm po}ehhc}ep o} }be dejcllclj ia }be ~ti`epp }i

o`bcee gclcgoh mepctem ettit }bo} zchh ~ticme }be dejcllclj ia }o`fclj olm i~}c`oh

`iggulc`o}cil ~ti`epp, C} `ol de pcguho}em cl mcaaetel} zosp,

Cl }bcp ~tike`} ile ge}bim }i temu`e }be }utduhel`e clmu`em aomclj eaae`}p cp

mcp`uppem, ]be i}bet ge}bimp e,j,( mcetpc}s }e`blcquep `ol de upem }i temu`e }be aomclj

eaae`}p, Op hopet deog ~ti~ojo}ep }btiujb o}gip~bete( c} cp me~ihotc{em olm }bup

 ~ihotc{o}cil mcetpc}s }e`blcque `ol de upem }i temu`e }be aomclj eaae`}p,

55

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Dcdhcijto~bs

V?W Gopobcti ]isimo( ‘Cl}elpc}s ahu`}uo}cilp cl hopet hclfp de}zeel }be jtiulm olm

o po}ehhc}e‗( O~~hcem I~}c`p( ih, ==( li, 0=( ~~, :01=':0:>( Me`egdet 4>>5,

V4W B, Golit olm P, Otlil( ‘^etaitgol`e ia ol i~}c`oh `iggulc`o}cil psp}eg op o

aul`}cil ia zoehelj}b‗(   O~~hcem I~}c`p( ih, =4( li, 4?( ~~, =425'=43=( Kuhs

4>>0,

V0W P, Otlil( I~}c`oh Zctehepp `iggulc`o}cilp( El`s`hi~emco ia i~}c`oh

eljcleetclj( 4>>0,

V=W Zchhcog F, ^to}}( Hopet @iggulc`o}cil Psp}eg( Kibl Zches ! Pilp, Cl`,( Lez

Sitf( ?313,

V5W P, Fot~( T,G,Jojhcotmc( P,E, Gitol( H,D, P}i}}p( I~}c`oh `bollehp( ^helug(

?322,

V1W R, [bu olm Kipe~b G, fbol( ‘Atee'p~o`e i~}c`oh `iggulc`o}cil }btiujb

o}gip~betc` }utduhel`e `bollehp‗( CEEE ]tolp, il @iggul,( ih, 5>( li, 2( ~~,

?430'?0>>( Oujup} 4>>4,

V:W T,F, ]spil ‘Omo~}ce i~}c`p olm jtiulm }i p~o`e hopet `iggulc`o}cil‗(

 O~~hcem I~}c`p( ih, 05( li, ?3( ~~, 01=>'01=1( Kuhs ?331,

V2W J,P, Gc}`behh olm _c Hu( ‘^etaitgol`e olohspcp ait i~}c`oh zctehepp

`iggulc`o}cil psp}egp upclj pud`ottcet ^PF cl}elpc}s gimuho}cil }btiujb

}utduhel} o}gip~betc` `bolleh‗( CEEE ( Jhide`ig 4>>=( ~~, ?2:4'?2:5,

V3W B,], Suto olm Z,J, G`Fclhes( ‘O~et}ute oetojclj ia p`cl}chho}cil ait p~o`e }i

jtiulm i~}c`oh `iggulc`o}cil o~~hc`o}cilp‗(   O~~hcem I~}c`p( ih, 44( li, ??(

 ~~, ?1>2'?1>3( Kuhs ?320,

51

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V?>W Gitci ]isipbcgo( ‘]telmp cl po}ehhc}e `iggulc`o}cilp olm }be tihe ia i~}c`oh

atee p~o`e `iggulc`o}cilp‗(   Kiutloh ia I~}c`oh Le}zitfclj( ih, =( li, 1( ~~,

0>>'0??( Kule 4>>5,

V??W K,B, Atol{ olm Q,F,Kocl( I~}c`oh `iggulc`o}cilp( Lotipo ^udhcpbclj Biupe(

 Lez Mehbc( 4>>>,


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