8
^ETU^O ! ^E]@CI ]UHTU H]ET
GIDUK I5
^ETU^O ! ^E]@CI ]UHTU H]]ET
8/ Zeofe~t`ho ^etu~o ! ^e}`ci ]uhtu @oqe}th}` ]ei~hof ]ei~hof `oqe}t `oqe}ti~ i~ ghuzuo ghuzuo ze~u}hlh ze~u}hlhho ho phof phof gekhcu gekhcucho cho cef`ht cef`htho ho `oqe}t `oqe}th}` h}` }ekhku }ekhku d`lhdhzcho zhdh ~e}`ci dho ~etu~o phof te~choduof dhkhg `oqe}th}` te~}enut/ ^etu~o dhzht d`h~t`cho }enhfh` lh}`k zeofegnhk`ho `oqe}th}` ,zhdh ugugoph d`ophthcho dhkhg ze~}eoth}e dh~` `oqe}th}`)/ Zeofucu~ho ~etu~o `o` }hofht zeot`of nhf` `oqe}ti~ uotuc geoha}`~cho }ene~hzh nh`c ghohbe~ `oqe}th}` gekhcucho `oqe}th}`/ Lhoph geofl`tuof ~etu~o }hbh uotuc }uhtu `oqe}th}` t`dhckhl mucuz/ ^e}`ci dh~` `oqe}th}` bufh ze~ku d`ze~l`tuofcho/ ^etu~o dho ~e}`ci ge~uzhcho duh lhk phof t`dhc te~z`}hl+ te~z`}hl+ ch~eoh ze~t`gnhofho ze~t`gnhofho }uhtu `oqe}th}` `oqe}th}` ge~uzhcho t~hde'iaa dh~` ceduh ahmti~ `o`/ ^etu~o dho ~e}`ci gegzuoph` lunuofho phof zi}`t`a+ }eghc`o ne}h~ ~e}`ci phof lh~u} d`th d`thoff offuo uof+ f+ }eghc` }eghc`oo ne}h~ ne}h~ ~etu~o ~etu~o phof phof lh~u lh~u}} d`ci d`cigz gzeo eo}h} }h}`c `cho ho// ^e}` ^e}`ci ci }e~`o }e~`off d`lunuofcho d`lunuofcho deofho zeop`gzhofho zeop`gzhofho hthu deq`h}` deq`h}` dh~` iutmige phof d`te~`gh d`te~`gh deofho phof d`ec}zecth}`/ d`ec}zecth}`/ Qho Li~oe dho Vhmliv`m}+ Vhmliv`m}+ B~/ ,800>) geodea`o`}`cho geodea`o`}`cho ~e}`ci }enhfh` qh~`hn`k`th} ~etu~o te~lhdhz ~etu~o phof d`lh~hzcho/ Uotuc geofl`tuof ~e}`ci+ getide phof nhophc d`fuohcho hdhkhl deq`h}` }thodh~ phof geofucu~ hn}ikute zeop`gzhofho o`kh`'o`kh` phof }udhl te~bhd` deofho o`kh` ec}zecth}`oph/
>/ Cigzioeo ^etu~o ^etu~o dh~` }uhtu `oqe}th}` te~d`~` dh~` duh cigzioeo ph`tu 2 •
P`ekd 2 Cigzioeo dh}h~ phof zhk`of }e~`of guomuk dhkhg `oqe}t`of ~etu~o ph`tu
dhkhg h~u} ch} }emh~h ze~`id`c phof d`ze~ikel }ekhgh ne~`oqe}th}`+ nh`c nuofh ghuzuo d`q`deo/ Dhkhg ne~`oqe}th}` }hlhg+ p`ekd'oph ne~uzh d`q`deo/ ]edhofcho
Zu}ht Zeofegnhofho Nhlho Hbh~ ' UGN
Hfu} Rh`ouk H~`a`o GHOHBEGEO @OQE]TH]@
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dhkhg dhkhg ne~`oqe} ne~`oqe}th} th}`` ink`fh ink`fh}`+ }`+ p`ekd'o p`ekd'oph ph hdhkhl hdhkhl ne~uzh ne~uzh cuzio/ cuzio/ Zeofucu Zeofucu~ho ~ho p`ekd p`ekd te~fhotuof dh~` h~u} ch} dho lh~fh+ }eze~t` lh~fh nek` hthu lh~fh nek` }ech~hof/ •
Mhz`thk fh`o ,ki}}) 2 Cigzioeo phof ceduh `o` bufh zeot`of+ clu}u}oph dhkhg
}hlhg }hlhg n`h} n`h}hh ,miggio Cigzioeo eo `o` ge~uzhc ge~uzhcho ho miggio }timc }timc ) dho kiof kiof te~g te~g niod} niod}/ Cigzio hz~e}`h}` dh~` lh~fh }uhtu h}}et phof n`h}hoph d`}enut mhz`thk fh`o ,ki}})/ Mhz`thk fh`o ,ki}}) }emh~h }ede~lhoh dhzht d`}enut ze~nedhho lh~fh hthu }ek`}`l hoth~h lh~fh buhk dho lh~fh nek` }uhtu `o}t~ugeo `oqe}th}`/ N`kh lh~fh buhk ; lh~fh nek`+ ghch te~bhd` mhz`thk ki}} dho }enhk`coph/
Dh~` ceduh cigzioeo d`hth}+ b`ch d`}htucho ce dhkhg neotuc tithk ~etu~o geobhd` 2
Tithk ^etu~o 7 P`ekd # Z~`me mlho e
=/ ]ugne~ dho T`ze ^`}`ci ]ugne~ ~`}`ci hdh < beo`}+ hoth~h kh`o 2
@ote~e} @ote~e}tt ^`}c ^`}c ^hte ^hte
Qh~`hn Qh~`hn`k` `k`th} th} dhkhg dhkhg ~etu~o ~etu~o }ecu~`t }ecu~`th} h} dh~`
ze~unhlho t`ofcht }ucu nuofh ph`tu `ote~e}t ~hte ~`}c / @ote~e}t ~hte ~`}c gegzeofh~ul` ink`fh ink`fh}` }` }emh~h }emh~h khof}uo khof}uoff dh~`zhdh dh~`zhdh miggio thz` `tu `tu bufh bufh gegz gegzeo eofh fh~ul ~ul`` miggio }timc }timc + thz` ceduhoph dho gegnutulcho ze~t`gnhofho phof }hofht zeot`of nhf` zh~h `oqe}ti~/ Gh~cet Gh~cet ^`}c ^`}c Qh~`hn` Qh~`hn`k`t k`th} h} ~etu~o+ ~etu~o+ lh}`k lh}`k dh~` akuctu akuctuh}` h}` dhkhg dhkhg
ce}eku~ulho zh}h~ ph`tu zh}h~ }hlhg hf~efht+ `tukhl phof d`ghc}ud deofho gh~cet ~`}c /
Gh~ce Gh~cett ~`}c ~`}c bufh bufh te~g te~gh}u h}ucc ahct ahcti~ i~'ah 'ahct cti~ i~ ec}if ec}ifeo eo }eze~ }eze~t` t` ~e}e} ~e}e}`+`+ ze~ho ze~hof+ f+
ze~unhlho }t~uctu~ dhkhg ecioig` dho ze~unhlho }eke~h cio}ugeo/
@oakht`io @oakht`io ^`}c Ahcti~ Ahcti~ phof phof gegzeof gegzeofh~ul h~ul`` }eguh }eguh }ecu~`t }ecu~`th} h}
hdhkhl ~e}`ci dhph nek` hthu ne~cu~hofoph ceghgzuho gegnek` `oqe}th}` dhkhg dikkh~/ Deofho `oakh}` phof t`dhc geoeotu+ ~etu~o phof ophth bufh gek`nhtcho geofhoduof ~e}`ci vhkhuzuo ~etu~o oig`ohk mucuz hgho/ ^e}`ci `o` ne~lunuofho deofho `ote~e}t ~hte ~`}c+ ch~eoh `ote~e}t ~hte n`h}hoph geo`ofcht }e`~`of zeo`ofchtho `oakh}`/
Nu}`oe}} ^`}c ^e}`ci gekhcucho }uhtu n`}o`} dhkhg `odu}t~`
clu}u} d`}enut nu}`oe}} ~`}c /
Zu}ht Zeofegnhofho Nhlho Hbh~ ' UGN
Hfu} Rh`ouk H~`a`o GHOHBEGEO @OQE]TH]@
=
^ETU^O ! ^E]@CI ]UHTU H]ET
A`ohom`hk ^`}c A`ohom`hk A`ohom`hk ~`}c ne~lunuofho ne~lunuofho deofho zeoffuohho
zegn` zegn`hph hphho ho luthof luthof ikel ikel ze~u}hlh ze~u}hlhho/ ho/ Ne}h~op Ne}h~ophh z~izi~}` z~izi~}` h}}et h}}et ikel ikel zegn`h zegn`hphh phhoo luthof dho ne}h~oph ne}h~oph qh~`hn`k`t qh~`hn`k`th} h} ~etu~o hdhkhl }hgh/ Cio}ez a`ohom`hk keqe~hfe bufh te~gh}uc d` dhkhg a`ohom`hk ~`}c/ K`xu`d K`x u`d`tp `tp ^`}c ^`}c
^e}` ^e}`ci ci phof phof ne~lu ne~lunuo nuofh fhoo deof deofho ho zh}h~ zh}h~
}ecuode~ dhkhg ze~dhfhofho }ecu~`th}/ ]uhtu `oqe}th}` phof dhzht d`nek` hthu d`buhk d`buhk }emh~h mezht dho thozh lh~fh phof }`fo`a`cho }`fo`a`cho n`h}hoph ne~}`aht k`xu`d/ ]eghc`o t`dhc geoeotuoph geoeotuoph ekegeo vhctu dho cio}e}` ,cekioffh~ho) ,cekioffh~ho) lh~fh+ }eghc`o ne}h~ k`xu`d`tp k`xu`d`tp ~`}c'oph/ E|mlhofe ^hte ^`}c ]eguh `oqe}ti~ phof ne~`oqe}th}` }emh~h
`ote~oh}`iohk zhdh h~eoh `oqe}th}` fkinhk }ech~hof `o`+ geoflhdhz` z~i}zec phof thc geoeotu dhkhg ~etu~o }etekhl ge~ech geofunhl ceuotuofho ge~ech ce dhkhg ghth uhof oefh~h ge~ech gh}`of'gh}`of/ E|mlhofe ^hte ^`}c dhzht d`dea`o`}`cho }enhfh` qh~`hn`k`th} ~etu~o phof d`}enhncho ikel akuctuh}` ghth uhof/ E|mlhofe ~hte ~`}c n`h}hoph d`}enut bufh mu~~eomp ~`}c / Miuot~p ^`}c Miuot~p ~`}c n`h}hoph d`}enut bufh zik`t`mhk zik`t`mhk ~`}c+
ph`tu ~`}`ci phof zeot`of uotuc zh~h `oqe}ti~ zhdh rhgho }ech~hof `o`/ Deofho nhoph nhophcop cophh `oqe}ti `oqe}ti~~ phof phof ne~`oqe} ne~`oqe}th} th}`` }emh~h }emh~h `ote~oh `ote~oh}`io }`iohk+ hk+ nh`c nh`c }emh~h }emh~h khof}uo khof}uoff ghuzuo t`dhc khof}uof+ }thn`k`th} dho cekhof}uofho l`duz ecioig` }uhtu oefh~h ze~ku d`ze~t`gnhofcho/ Uo`ted ]thte} gegzuoph` miuot~p ~`}c phof zhk`of ~eodhl+ dho nene~hzh oefh~h kh`o dhzht d`o`kh` deofho geoffuohcho ucu~ho Uo`ted ]thte} }enhfh` tikic ucu~oph/ T`ze ^`}`ci •
Uo}p}teght`m ^`}c G`m~i ^`}c/
^e}`ci ^e}`ci phof phof n`}h n`}h d`l`kh d`l`khofch ofchoo gekhku gekhku`` d`qe~}` d`qe~}`a`c a`ch}` h}` deofho deofho geofho geofhoech ech~hfh ~hfhgcho gcho neotuc `oqe}th}`/ Miotil 2 gh}hkhl k`cu`d`th} ze~u}hlhho+ ceghgzuho gegnhph~ d`q`deo+ ea`}`eo}` z~iduc+ dkk/ •
]p}teght`m ^`}c Ghm~i ^`}c/
Zu}ht Zeofegnhofho Nhlho Hbh~ ' UGN
Hfu} Rh`ouk H~`a`o GHOHBEGEO @OQE]TH]@
4
^ETU^O ! ^E]@CI ]UHTU H]ET
^e}`ci phof t`dhc n`}h d`l`khofcho d`l`khofcho gekhku` gekhku` d`qe~}`a`ch}` d`qe~}`a`ch}`// Ucu~ho gh~cet ~`}c hdhkhl hdhkhl neth ,ξ)/ Miotil 2 zeofh~ul `oakh}`+ akuctuh}` o`kh` tuch~+ emioig`m emioig`m f~ivtl+ dho akuctuh}` @L]F te~lhdhz oh`c tu~uooph lh~fh }uhtu h}}et/
4/ Zeofucu~ho ^etu~o ^ehk`}h}` ,^ehk ^etu~o) •
Tithk ^etu~o
]enuhl zeofucu~ho ~etu~o phof neoh~ lh~u} gegh}uccho duh cigzioeo dh~` ~etu~o+ ph`tu lh}`k , p`ekd p`ekd ) dho ze~unhlho lh~fh , z~`me mlhofe)/ ^etu~o phof ne~khvhoho deofho vhctu vhctu hthu hthu dh~` dh~` }ecu~` }ecu~`th th}} phof phof ne~ne ne~nedh dh dhzht dhzht d`uc d`ucu~ u~ dho d`nh d`nhod` od`of ofcho cho deofh deofhoo geoffuohcho cio}ez tithk ~etu~o/ Tithk ~etu~o hdhkhl ze~}eoth}e phof ne~lunuofho deofho }eguh zeoe~`ghho h~u} ch} ikel }ei~hof `oqe}ti~ }ekhgh nene~hzh ze~`ide vhctu phof tekhl d`teotucho uotuc lh~fh zegnek`ho hth} h}}et/ Tithk ~etu~o d`~ugu}cho }enhfh` ne~`cut2 T^ 7
MAt # , Ze ∞ Zn) Zn
7
MAt # ZM Zn Zn
Cete~hofho 2 MAt 7 h~u} ch} }ekhgh ze~`ide zeofucu~ho t Ze 7 lh~fh zhdh hcl`~ ze~`ide t hthu lh~fh buhk Zn 7 lh~fh nek` h}}et hthu lh~fh zhdh hvhk ze~`ide ZM 7 ze~unhlho lh~fh }ekhgh ze~`ide te~teotu H~u} ch} uotuc }enuhl ink`fh}` ,niod) ne~h}hk dh~` zeoe~`ghho zegnhph~ho nuofh+ dho uotuc }enuhl }hlhg ne~h}hk dh~` zeoe~`ghho d`q`deo/ Uotuc nene~hzh h}}et+ }eze~t` }enuhl }u~ht cuh}h hthu }enuhl }hlhg phof t`dhc gegnhph~ d`q`deo+ lhoph }enuhl ze~unhlho lh~fh/ Cio}ez tithk ~etu~o ne~o`kh` }enhfh` }enuhl zeofucu~ho ~etu~o ch~eoh 2 '
]eguh te~l`tuof/
'
Geofucu~ tithk ~etu~o dh~` }et`hz i~`f`ohk `oqe}tgeot /
'
Gegu Gegudh dhlc lcho ho ze~ ze~nh nhod od`o `ofh fhoo ~et ~etu~o u~o dh~` dh~` h}} h}}et et gek gekhku` hku` ze~ ze~`i `ide de pho phoff
tekhl d`tethzcho+ hzhchl ze~nhod`ofho te~}enut dh~` h}}et phof ne~nedh+ }eze~t` }hlhg qe~}u} ink`fh}`+ hthu dh~` }ecu~`th} phof ne~nedh deofho t`ze phof }hgh+ }eze~t` nene~hzh miggio }timc / Zu}ht Zeofegnhofho Nhlho Hbh~ ' UGN
Hfu} Rh`ouk H~`a`o GHOHBEGEO @OQE]TH]@
5
^ETU^O ! ^E]@CI ]UHTU H]ET
Miotil }ihk 82
D`q`deo }ethluo phof d`nhph~cho hdhkhl }ene}h~ ^z8>:+'/ Lh~fh }hlhg nukho cegh~`o hdhkhl }ene}h~ ^z8:8:+' dho nukho `o` hdhkhl }ene}h~ ^z88::+'/ ^etu~o tithk nukho `o` }ene}h~ 2
^etu~o 7
^z ^z88:: ∞ ^z8:8: #
8>: ^z8>: 8>
^z8:8:
7 0/0%
Miotil }ihk > 2
D`q`deo D`q`deo }ethluo }ethluo phof d`nhph~cho d`nhph~cho hdhkhl }ene}h~ ^z8>:'/ Lh~fh }hlhg g`offu cegh~`o hdhkhl }ene}h~ ^z8:5:+' ^z8:5:+' dho g`offu g`offu `o` hdhkhl }ene}h~ ^z88::+'/ ^z88::+'/ ^etu~o tithk g`offu g`offu `o` hdhkhl }ene}h~ 2
^etu~o 7
^z ^z88:: ∞ ^z ^z8:5: #
^z8>: 8>: 5>
^z ^z8:5:
•
7 4/0<%
^ekht`qe ^etu~o
^ekht`qe ~etu~o te~chdhof d`ze~kucho uotuc geofucu~ ~etu~o dh~` }ed`c`t ze~nedhho dh}h~ dh~`zhdh tithk ~etu~o/ ^ekht`qe ~etu~o geopeke}eh`cho gh}hkhl cet`ch ~etu~o oefht`a ch~eoh ~ekht`qe ~etu~o }ekhku zi}`t`a/ ^ekht`qe ~etu~o geohgnhlcho 8/: uotuc tithk ~etu~o+ dho ge}c`zuo ~ekht`qe ~etu~o guofc`o ken`l cem`k dh~`8/:+ ~ekht`qe ~etu~o hcho ken`l ne}h~ dh~` oik+ deofho geofek`g`oh}` hofch'hofch phof oefht`qe/ ^ekht`qe ~etu~o d`~ugu}cho }enhfh` ne~`cut 2 ^^ 7
MAt # Ze Zn
7 8 # T^
Miotil }ihk 2
Thnek ne~`cut geouobucco o`kh` dh~` ~ekht`qe ~etu~o uotuc }hlhg ZT/‐H‐
Zu}ht Zeofegnhofho Nhlho Hbh~ ' UGN
Hfu} Rh`ouk H~`a`o GHOHBEGEO @OQE]TH]@
1
^ETU^O ! ^E]@CI ]UHTU H]ET
Ze~`ide Lh~fh ]hlhg D`q`deo ^etu~o ^ekht`z ^etu~o ,8) 80< 0 800 : 800 8 800 > 800 = 800 4 800 5 800 1
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,5) 7 ,4) # 8 ' 8/ : 1 : 8/ : 6 6 8/ : 0 5 8/ 8 0 = 8/ : 4 6 8/ 8 8 = 8/ 8 8 >
Uotuc thluo 800:+ ~ekht`qe ~etu~o d` Thnek dhzht d`l`tuof }enhfh` ne~`cut 2 ^^ 800: 800: 7 ^ 800: 800: # 8 7 8/:1: Hthu deofho geoffuohcho ~ugu} 2 ^^ 800: 800: 7 ,Z800: # D800:) Z80<0 ,8655 # 8::) 865: 8/:1: •
Mugukht`qe Vehktl @ode|
Zeofucu~ho ~etu~o }eze~t` zeofucu~ho tithk ~etu~o ne~unhl dhkhg t`ofcht cechphho/ Ge}c`zuo nef`tu+ mugukht`qe vehktl `ode| ken`l d`celeodhc` uotuc geofucu~ t`ofcht cechphho ,hthu lh~fh) dh~`zhdh ze~unhlho cechphhooph/ Deofho chth kh`o+ c`th geofucu~ zeofh~ul zeofh~ul mugukht`qe mugukht`qe dh~` ~etu~o }ezhobhof vhctu deofho gegne~`cho gegne~`cho nene~hzh nene~hzh bugkhl bugkhl hvhk phof d`tethzcho+ ph`tu 8/ Mugukht`qe vehktl `ode| d`~ugu}cho }enhfh` ne~`cut2 MV@o 7 V@i,8 # T^8),8 # T^>) ‡ ,8 # T^o) Cete~hofho 2
Zu}ht Zeofegnhofho Nhlho Hbh~ ' UGN
Hfu} Rh`ouk H~`a`o GHOHBEGEO @OQE]TH]@
6
^ETU^O ! ^E]@CI ]UHTU H]ET
MV@o 7 mugukht` mugukht`qe qe vehktl vehktl `ode| `ode| zhdh hcl`~ ze~`ide ze~`ide o `odec} `odec} ceghcgu~ho ceghcgu~ho cugukht`a+ cugukht`a+ gukh` dh~` ze~`ide ze~thgh }hgzh` ce o V@i V@i
7 `ode `ode|| qhku qhkuee hvh hvhkk + ph` ph`tu tu 8 cech cechph phho ho hvhk hvhk
T^o
7 ze~`id` ze~`id`cc tithk tithk ~etu~o ~etu~o dhkhg dhkhg neotuc neotuc dem`g dem`ghk hk ~etu~o ~etu~o ze~`ide ze~`ide ce't+ ce't+ gukh` gukh` dh~` hvhk hvhk ze~`ide ,t 7 8) }hgzh` ce hcl`~ ze~`ide ,t 7 o)
Mugukht`qe vehktl `ode| dhzht d`fuohcho uotuc geofl`tuof ~hte ia ~etu~o uotuc ze~`ide phof tekhl d`tethzcho+ d`~ugu}cho }enhfh` ne~`cut 2
T^o 7
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∞8
Cete~hofho 2 T^o T^o
7 Tit Tithk hk ^etu ^etu~o ~o uotu uotucc ze~ ze~`i `ide de o
MV@ MV@ 7 Mug Muguk ukht ht`q `qee Veh Vehkt ktll @od @ode| e| Miotil }ihk 8 2
@odec} ceghcgu~ho cugukht`a uotuc }hlhg ZT “H‐ gukh` dh~` thluo 80<0 }hgzh` deofho thluo 8001 thgzhc d` thnek ne~`cut `o` 2 Ze~` Ze~`id idee ^etu ^etu~o ~o ,^t ,^t)) @ode @odec} c} Ceg Ceghc hcgu gu~h ~hnn Cugu Cugukh kht` t`aa ,@CC) ,@CC) 8 0<0 8 00: 8 008 8 00> 8 00= 8 004 8 005 8 001
' :/:1: :/:66 :/:05 :/80= :/:46 :/88= :/88>
8/::: 8/:1: 8/84> 8/>5: 8/40> 8/51> 8/6=< 8/0==
@odec} ceghcgu~ho cugukht`a `o` geouobuccho ceghcgu~ho hcl`~ phof d`ze~ikel dhkhg }uhtu ze~`ide te~teotu/ G`}hkoph deofho gegnek` }hlhg “H‐ d` hcl`~ thluo 80<0+ ghch zhdh hcl`~ thluo 8008+ ceghcgu~ho hcho geobhd` }ene}h~ 884/>:% dh~` ceghcgu~ho }egukh/ B`ch }hlhg `o` d`ze~thlhocho khf`+ ghch zhdh hcl`~ thluo ne~`cutoph hcho Zu}ht Zeofegnhofho Nhlho Hbh~ ' UGN
Hfu} Rh`ouk H~`a`o GHOHBEGEO @OQE]TH]@
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^ETU^O ! ^E]@CI ]UHTU H]ET
geobhd` }ene}h~ 8>5/::% dh~` o`kh` }egukh d` hcl`~ thluo 800: deofho ze~l`tuofho }enhfh` ne~`cut 2 MV@800> 7 8 , 8 # :/:1:) ,8 # :/:66) ,8 # :/:05) 7 8/>5: hthu 8>5/:: % MV@ hthu `odec} ceghcgu~ho cugukht`a dhzht bufh d`l`tuof ne~dh}h~cho ze~chk`ho o`kh`' o`kh` cigzioeooph }enhfh` ne~`cut 2 MV@ 7 ZLC | PC Deofho 2 MV@ 7 @odec} ceghcgu~ho cugukht`a ZLC 7 Ze~unhlho lh~fh cugukht`a PC
7 P` P`ekd cu cugukht`a
Miotil ]ihk > 2
Thnek ne~`cut geouobuccho miotil lh}`k ze~l`tuofho `odec} cugukht`a phof d`l`tuof dh~` ze~chk`ho ze~unhlho lh~fh cugukht`a deofho p`ekd cugukht`a Ze~`ide Mhz`thk ,8) 800 : 800 8 800 > 800 = 800 4 800 5 800 1
D`q`deo Ze~unhlho
P`ekd
@odec} Ceghcgu~ho
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Lh~fh cugukht`a Cugukht`a Cugukht`a
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7 ,8 # :/::>0),8 # :/:800) 7 8/:>= PC8008
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N`kh lh}`k `o` d`nhod`ofcho deofho ze~l`tuofho zhdh thnek miotil }ihk 8 ghch hcho geouobuccho lh}`k phof lhgz`~ }hgh/ Ze~nedhho o`kh` phof hdh d`}enhncho ikel zegnukhtho dhkhg ze~l`tuofho/ @odec @odec}} ne~ne ne~nedh dh deofh deofhoo ~hth ~hth'~h '~hth th++ @ode @odec} c} geof geoffu fuohc ohcho ho thluo thluo dh}h~ dh}h~ d` dhkhg dhkhg ze~l`tuofhoop ze~l`tuofhooph+ h+ }edhofcho }edhofcho ~hth'~hth ~hth'~hth t`dhc geoffuohchooph/ geoffuohchooph/ Deofho geoffuohchho thluo dh}h~+ `odec} geouobuccho c`oe~bh dh~` }hlhg phof d`vhc`k`oph dh~` vhctu ce vhctu ~ekht`a te~lhdhz ze~`ide vhctu dh}h~hoph+ }edhof ~hth'~hth lhoph geouobuccho c`oe~bh zhdh }uhtu vhctu te~teotu+ t`dhc d`nhod`ofcho ~ekht`qe deofho c`oe~bh d` vhctu phof ne~nedh/ ]enhfh` miotil hdhkhl MV@ zhdh miotil }ihk > uotuc thluo 8001 hdhkhl }ene}h~ 8/04=/ thluo dh}h~ `odec} `o` hdhkhl thluo 80<0 deofho o`kh` dh}h~ 8/ lh}`k `o` geouobuccho nhlvh }ekhgh 6 thluo ph`tu dh~` thluo 80<0 }hgzh` deofho 8001+ o`kh` dh~` }hlhg ze~u}hlhho “H‐ tekhl geo`ofcht }ene}h~ 04/=%/ 5/ ^etu~o ^etu~o ^hth'~h ^hth'~hth th 2 H~`tlg H~`tlget` et`mm hod Feiget Feiget~`m ~`m Geho Geho •
H~`tlget`m Geho
]tht`}t`c phof zhk`of d`ceohk nh`c ikel cenhophcho i~hof hdhkhl h~`tlget`m geho/ Ikel ch~eoh `tu+ cet`ch }e}ei~hof geouobuc ce geho ~etu~o ge~ech n`h}hoph geouobuc ce h~`tlget`m geho/ H~`tlget`m geho n`h}hoph d`tethzcho deofho }`gnik
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Zu}ht Zeofegnhofho Nhlho Hbh~ ' UGN
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^ETU^O ! ^E]@CI ]UHTU H]ET
Feiget~`m geho ~etu~o geofucu~ }u}uoho th~`a dh~` ze~tugnulho ,~hte ia f~ivtl) }ezhobhof vhctu/ Feiget~`m geho te~chdhof d`fuohcho dhkhg `oqe}th}` dho ceuhofho uotuc uotuc geoffh geoffhgnh gnh~cho ~cho th~`a th~`a ze~tugn ze~tugnulh ulhoo phof phof tethz tethz dh~` dhoh dhoh `oqe}t `oqe}th}` h}` }ezhobh }ezhobhof of nene~hzh ze~`ide phof khgzhu/ Feiget~`m geho d`teotucho }enhfh` hch~ phof zhk`of hcl`~ dh~` z~iduc phof d`lh}`kcho dh~` ze~cegnhofho ~ekht`qe ~etu~o/ Feiget~`m geho d`~ugu}cho }enhfh` ne~`cut2 F 7 S,8 # T^8),8 # T^>) ‡ ,8 # T^o)W
' 8
H~`tlget`m Geho Qe~}u} Feiget~`m Geho Chzho }elh~u}oph c`th geoffuohcho h~`tlget`m geho dho chzho }elh~u}oph c`th geoffuohcho feiget~`m geho uotuc geoe~hofcho ~etu~o dh~` a`ohom`hk h}}et 9 Bhvhnhooph te~fhotuof dh~` zhodhofho inbect`a `oqe}ti~+ ph`tu2 H~`tlget`m geho hdhkhl }enuhl zeofucu~ho phof nh`c hth} ~hth'~hth ,zhdh
clu}u}oph) clu}u}oph) phof d`tuobuccho d`tuobuccho dhkhg }htu ze~`ide/ ze~`ide/ H~`tlget`m H~`tlget`m geho hdhkhl ze~c`~hho te~n te~nh` h`cc dh~` dh~` zeofe zeofegn gnhk hk`h `hoo phof phof d`lh~ d`lh~hz hzcho cho ,e|zemte uotucc ze~` ze~`id idee e|zemted d ~etu~o ~etu~o) uotu ne~`cutoph Feige Feiget~ t~`m `m geho geho hdhkh hdhkhll }enuh }enuhll zeofu zeofucu~ cu~ho ho phof phof nh`c nh`c hth} hth} ze~unh ze~unhlh lhoo
cechp cechphh hhoo }ezho }ezhobh bhof of vhctu vhctu ,gukt`zke )/ Feige Feiget~ t~`m `m geho geho geof geofucu ucu~~ lh}` lh}`kk gukt`zke ze~`id )/ }u}uo }u}uoho ho ~hte ~hte ia ~etu ~etu~o ~o d`gh d`ghoh oh uhof uhof ne~t ne~thg hgnh nhll geke gekevh vht` t` ze~` ze~`id idee phof phof tekh tekhll d`tethzcho/ Miotil }ihk 8 2
Lh~fh dh~` }uhtu }hlhg zhdh ze~`ide ce': ,ze~`ide hvhk) hdhkhl ^z5::+'/ Zhdh ze~`ide }ekhobutoph ,ze~`ide ce'8)+ lh~fh }hlhg `o` geo`ofcht geobhd` ^z1::+' dho tu~uo d` ze~`ide ce'> geobhd` ^z55:+'/ ^etu~o uotuc gh}`of'gh}`of ze~`ide hdhkhl }enhfh` ne~`cut 2 ^8
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B`ch d`l`tuof deofho getide ~hth'~hth feiget~`m hdhkhl }ene}h~ ^F
7 S,8 #:/>),8 ' :/:<=)W8> ” 8 7 :/:4<<= hthu 4/<<=% B`ch d`l`tuof deofho getide ~hth'~hth h~`tght`ch ze~tugnulho lh~fh }hlhg `o` hdhkhl
}ene}h~ 5/<==5/ B`ch ~etu~o `o` neoh~ dho lh~fh ne~tugnul deofho t`ofcht 5/<==% ghch uotuc ze~`ide ce >+ lh~fh }hlhg `o` }elh~u}oph geobhd` ^z51:/:= ,^z5:: | 8/:5<== | 8/:5<==)/ Zhdhlhk lh~fh }hlhg `o` d` hcl`~ ze~`ide ce'> hdhkhl }en}h~ ^z55:+'/ Deofho deg`c`ho ~etu~o phof d`l`tuof deofho getide ~hth'~hth h~`tght`c `o` cu~hof tezht/ B`ch d`l`tu d`l`tuof of deofho deofho getide getide ~hth'~h ~hth'~hth th feiget~ feiget~`c+ `c+ ze~tugn ze~tugnulho ulho lh~fh lh~fh }hlhg }hlhg `o` hdhkhl hdhkhl 4/<<=%/ Deofho geoffuohcho t`ofcht ze~tugnulho `o` lh~fh }hlhg d` hcl`~ ze~`ide ce' > }elh~u}oph ^z55:+' ,^z5:: | 8/:4<<= | 8/:4<==) }e}uh` deofho o`kh` phof }eneoh~oph/ Bhd` getide ~hth'~hth feiget~`c ken`l tezht d`fuohcho uotuc }`tuh}` phof gek`nhtcho ze~t ze~tug ugnul nulho ho++ }edho }edhoff geti getide de
~hth ~hth'~h '~hth th h~`tg h~`tght ht`c `chh ken` ken`ll tezh tezhtt d`fu d`fuohc ohcho ho uotu uotuc c
geofl`tuof geofl`tuof ~hth'~hth uotuc }htu ze~`ide phof }hgh dh~` nhophc ~etu~o thozh gek`nhtcho gek`nhtcho ze~tugnulho/ ^hth'~hth feiget~`m bufh nhophc d`fuohchouotuc geofl`tuof MV@/ B`ch ~hth'~hth feiget~`m d`cethlu`+ MV@ uotuc }uhtu ze~`ide te~teotu dhzht d`l`tuof deofho ~ugu} 2 MV@t 7 ,8 # ^F)o nq Deofho 2 MV@ 7 `odec} ceghcgu~ho cugukht`a T
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Miotil }ihk 2 Ze~`ide ,8) 8 00: 8 008 8 00> 8 00= 8 004 8 005 8 001 ^hth'~hth
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@odec} Ceghcgu~ho Cugukht`a
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}ene}h~ 2 ^F
7 S,8#:/:1:),8#:/:66),8#:/:05),8#:/8=),8#:/:46),8#:/88 S,8#:/:1:),8#:/:66),8#:/: 05),8#:/8=),8#:/:46),8#:/88=),8#:/88>) =),8#:/88>)86 '8 7 :/:0<6
MV@ uotuc thluo 8001 dhzht d`l`tuof }ene}h~ 2 MV@8001 7 ,8#:/:0<6)6 | 8 78/0==8=1 Lunuofho Lunuofho hoth~h hoth~h ~etu~o ~etu~o ~hth'~h ~hth'~hth th h~`tgh h~`tght`c t`chh dho ~hth'~h ~hth'~hth th feiget~ feiget~`m `m hdhkhl hdhkhl }enhfh` }enhfh` ne~`cut 2 ,8 # ^F)>
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Zeofh~ul ze~unhlho `oakh}`
]eguh ~etu~o phof tekhl d`nhlh} d`hth} hdhkhl oig`ohk ~etu~o}+ hthu gioep ~etu~o}+ ph`t ph`tuu geofu geofucu~ cu~ bugk bugkhl hl }htu }htuho ho ghth ghth uhof uhof hthu hthu ze~un ze~unhlh hlhoo bugk bugkhl hlop ophh teth tethz` z` t`dh t`dhc c geop geopen enut utcho cho teot teotho hoff cecu cecuht htho ho zegn zegnek ek`h `hoo dh~` dh~` }htuh }htuhoo ghth ghth uhof uhof te~}e te~}enut nut// Uotu Uotuc c geohofchz d`geo}` te~}enut+ c`th ze~ku gegze~t`gnhofcho ~ehk ~etu~o+ hthu `oakht`io ' hdbu}ted ~etu~o}/ Mh~h geofl`tuof `oakht`io ” hdbu}ted ~etu~o} d`~ugu}cho }enhfh` ne~`cut2 T^,`h) 7
8 #T^ @A 8 ∞ @A
∞8
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7 th~`a `oakh}`
Ze~}hghho te~}enut d`fuohcho uotuc gh}`of'gh}`of thluo dho ~hth'~hth dh~` tithk ~etu~o/
Miotil }ihk 8 2
^etu~o }ene}h~ 86% phof d`te~`gh }ethluo dh~` }enuhl }u~ht ne~lh~fh b`ch d`}e}uh`cho deofho t`ofcht `oakh}` }ene}h~ 5 % uotuc thluo phof }hgh+ hcho gegne~`cho ~etu~o ~`ek }ene}h~ 2 Zu}ht Zeofegnhofho Nhlho Hbh~ ' UGN
Hfu} Rh`ouk H~`a`o GHOHBEGEO @OQE]TH]@
84
^ETU^O ! ^E]@CI ]UHTU H]ET
T^,`h) 7 S,8#:/86),8#:/:5)W'8 7 :/884>0 hthu 88/4>0%/ D`qe~}`a`ch}` `ote~oh}`iohk }ech~hof }eghc`o d`n`mh~hcho+ ch~eoh d`qe~}`a`ch}` }eze~t` `o` dhzht dhzht geou geou~uo ~uocho cho t`of t`ofch chtt ~e}` ~e}`ci ci phof phof }udhl }udhl t`dh t`dhcc dhzh dhzhtt d`tu d`tu~uo ~uoch choo khf` khf` hc`nh hc`nhtt d`qe~}` d`qe~}`a`c a`ch}` h}` dige}t dige}t`m/ `m/ B`ch B`ch `oqe}t `oqe}th}` h}` d`khcu d`khcucho cho d` kuh~ kuh~ oefe~`+ oefe~`+ zeofeg zeofegnhk nhk`ho `ho phof phof d`ze~ikel ze~ku d`}e}uh`cho deofho cu~} ghth uhof phof ne~khcu }enhfh` ne~`cut 2
∞8 ghthuhofdi ge}t`c
O`kh`hcl`~ ghthuhofdi ge}t`c
^^ • ^ CH CH 7 ^^ O`kh`hvhkh
Deofho 2 ^ CH CH
7 ^etu~o phof d`}e}uh`cho deofho cu~} ghth uhof h}`of
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Miotil }ihk > 2 @oqe}ti~ @odioe}`h phof gegnek` }hlhg ze~u}hlhho Hge~`ch zhdh hvhk thluo8006 geodhzhtcho geodhzhtcho ~etu~o thluoho }ene}h~ 85%/ Zhdh }hht gegnek` }hlhg `o`+ lh~fh cu~} nek` u}$ hdhkhl }ene}h~ ^z>:::+' dho zhdh hcl`~ thluo+ cu~} buhk hdhkhl }ene}h~ ^z>8::+' ze~ U]$/ ^etu~o ne~}`l phof d`ze~ikel }etekhl d`}e}uh`cho deofho cu~} hdhkhl }ene}h~ 2 ^CH 7 S 8/85 | ,~z>8:: ^z>:::)W '8 7 :/>:65 hthu >:/65% 6/
Zeofucu~ho E|zemted ^etu~o
T`ofcht zeofegnhk`ho phof d`lh~hzcho hdhkhl t`ofcht zeofegnhk`ho phof d`lh~hzcho hcho d`~ehk`}h}` dh~` `oqe}th}`3 ~hth'~hth te~t`gnhof dh~` d`}t~`nu}` z~inhn`k`th} hth} lh}`k phof guofc`o/ B`ch B`ch geofhk geofhk`ch `choo }et`hz }et`hz lh}`k lh}`k phof phof guofc` guofc`oo deofho deofho z~inhn` z~inhn`k`t k`th} h} te~bhd te~bhd`op `ophh dho cegud`ho geobugkhlcho lh}`k ze~chk`ho te~}enut+ }enhfh`ghoh te~k`lht zhdh Thnek 5'>+ ghch gegzuoph` ~hth'~hth ~hth'~hth te~t`gnhof te~t`gnhof lh}`k/ Ninit hdhkhl z~inhn`k`th}+ dho ~hth'~hth te~t`gnhof te~t`gnhof hdhkhl t`ofcht t`ofcht zeofegnhk`ho zeofegnhk`ho phof d`lh~hzcho d`lh~hzcho ,e|zemted ~hte ia ~etu~o ) hthu phof d`}enut ‛c'ne~tiz`‗/ T`ofcht zeofegnhk`ho phof d`lh~hzcho uotuc Gh~t`o Z~iduc Zu}ht Zeofegnhofho Nhlho Hbh~ ' UGN
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dho U/]/ Ekemt~`m phof d`ze~k`lhtcho dhkhg Thnek 5'> hdhkhl 85%/ Beo`} thnek `o` d`}enut ght~`c} zipiaa/
Thnek 5'> Ze~l`tuofho t`ofcht zeofegnhk`ho phof d`lh~hzcho GH^T@O Z^IDUMT]
U/] EKEMT^@M YYYYYYYY ZE^G@OTHHO Z^INHN@K@TH] T@OFCHT Z^IDUC TE^BHD@OPH ZEOFEGNHK@HO ZE^U]HLHHO ZE^G@OTHHO @O@ B@CH ZE^G@OTHHO Z^IDUC @O@ TE^BHD@ ,8 ) ,5) Cuht 1% 1 Keghl = c7 85%
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c 7 Z8,c 8) # Z>,c >) # Z=,c =) 7 :+=,8::%) # :+4,85%) # :+=,'6:%) 7 85% T`ofcht zeofegnhk`ho phof d`lh~hzcho U/]/ Ekemt~`m hdhkhl bufh }ene}h~ 85% 2 c 7 :+=,>:%) # :+4,85%) # 8=,8:%) 7 85%
Zeofucu~ho ^`}`ci deofho ]thodh~ Deq`h}`
Deq`h}` }thodh~ hdhkhl zeofucu~ho }tht`}t`c dh~` qh~`hn`k`th} }ecugzukho in}e~qh}`/ Hfh~ Hfh~ geob geobhd` hd` }hofh }hofhtt ne~g ne~gho hoahh ahht+t+ }et`h }et`hzz ucu~ho ucu~ho ~`}` ~`}`ci ci lh~u} lh~u} gegz gegzuo uoph ph`` o`kh o`kh`` dea`o`t`qe—c`th ze~ku ucu~ho phof cetht hth} d`}t~`nu}` z~inhn`k`th}/ ]hkhl }htu ucu~ho }eze~t` `tu hdhkhl deq`h}` }thodh~+ phof d`ophthcho d`ophthcho deofho }`fgh+ }eghc`o cem`k deq`h}` }todh~+ }eghc`o cetht d`}t~`nu}` z~inhn`k`th}+ dho }e}uh` deofho `tu+ }eghc`o ~eodhl ~`}`ci }hlhg /Uotuc geofl`tuof deq`h}` }thodh~ dhzht d`khcucho deofho > mh~h 2 8) ^`}`c ^`}`cii dh~` dh~` e|zemt e|zemted ed ~etu~o ~etu~o ,dhth z~inhn` z~inhn`k`th k`th}) })
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Ai~gukh 7 E,^) 7
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Ze~l`tuofho Ciea`}`eo Qh~`h}`
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Miotil }ihk 2
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Ai~gukh 7 E,^) 7
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Qh~`ho N 7 sS>:%'85%W¾|=:%w#sS85%'85%W¾|4:%w# sS8:%'85%W¾|=:%w7 :+::85 i
Ze~l`tuofho ]thodh~t Deq`h}`
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Ze~l`tuofho E|zemted ^etu~o o
C` W o Ai~gukh 7 E,^) 7 ∘S C` T 78
Ze~l`tuofho Qh~`ho o
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o
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^ETU^O ! ^E]@CI ]UHTU H]ET
Qh~`ho N 7 sS81%'8>%W> # S84%'8>%W> # S8:%'8>%W> # S84%'8>%W> # S81%' 8>%W>w 4 7 8:% i
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Hfu} Rh`ouk H~`a`o GHOHBEGEO @OQE]TH]@
>8
^ETU^O ! ^E]@CI ]UHTU H]ET
dho ~hth'~hth }hlhg gegzuoph` zeofegnhk`ho phof d`ze~kucho c G 7 88%/ Ikel ch~eoh `tu z~eg` ~e}`ci zh}h~ hdhkhl 5% 2 ^ZG 7 c G'c ^A ^A 7 88% ' 1% 7 5% B`ch B`ch }htu }htu }hlhg }hlhg geg` geg`k` k`c` c` ~e}`c ~e}`cii duh duh chk` chk` k`zh k`zhtt dh~`z dh~`zhd hdhh kh`o kh`oop oph+ h+ ghch ghch z~eg` z~eg` ~e}`cioph hcho geobhd` duh chk` ken`l t`off`+ }egeoth~h b`ch ~e}`ci lhoph }eteofhloph+ ghch z~eg` ~e}`ci bufh hcho geobhd` }eteofhl ken`l cem`k/ Ken`l khobut+ c`th dhzht geofucu~ ~e}`ci ~ekht`qe }hlhg deofho ciea`}`eo neth/ B`ch c`th geofethlu` z~eg` ~e}`ci zh}h~+ zh}h~+ ^ZG+ dho ~e}` ~e}`ci ci }hlhg }hlhg phof phof d`ucu d`ucu~~ ikel ikel ciea` ciea`}` }`eo eo neth nethop oph+ h+ ξ`+ ξ`+ c`th c`th dhzht dhzht geoegucho geoegucho z~eg` ~`}`ci }hlhg }enhfh` lh}`k chk` ,^ZG)ξ`/ ]enhfh` miotil+ b`ch ξ`7 :+5 dho ^ZG 7 5%+ ghch ^Z` hdhkhl >+5% 2 Z~eg` ~e}`ci uotuc }hlhg ` 7 ^Z` 7 ,^ZG)ξ` 7 ,5%),:+5) 7 >+5% Zeofegnhk`ho Zeofegnhk`ho phof d`ze~kucho d`ze~kucho uotuc }et`hz `oqe}th}` dhzht d`ophthcho d`ophthcho dhkhg ~ugu} }enhfh` 2 Zeofegnhk`ho phof d`ze~kucho 7 Zeofegnhk`ho nenh} ~`}`ci # Z~eg` ~`}`ci/
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Ze~}hghho d` hth} `o` d`}enut ]emu~`tp Gh~cet K`oe ,]GK)/
Zu}ht Zeofegnhofho Nhlho Hbh~ ' UGN
Hfu} Rh`ouk H~`a`o GHOHBEGEO @OQE]TH]@
>>
^ETU^O ! ^E]@CI ]UHTU H]ET
B`ch nene~hzh }hlhg kh`ooph }eze~t` b hdhkhl ken`l ne~`}`ci d`nhod`ofcho }hlhg ` dho gegzuoph` ξ b 7 >+: +ghch t`ofcht zeofegnhk`ho phof d`ze~kucho hdhkhl 81% 2 c b 7 1% # 5%,>+:) 7 81% ]hlhg ~hth'~hth deofho ξ 7 8+: hcho gegzuoph` zeofegnhk`ho phof d`ze~kucho }ene}h~ 88%+ phof }hgh deofho zeofegnhk`ho zh}h~ 2 c H 7 1% # ,5%)8+: 7 88% 7 c G
Zu}ht Zeofegnhofho Nhlho Hbh~ ' UGN
Hfu} Rh`ouk H~`a`o GHOHBEGEO @OQE]TH]@