Moa}k} Vxohkmo4
Pjaoikp ]jl}klg Klkiopop Xjgxjpo
Klkiopop Mk}k Lkek 4 Kmo Wodkyk LXV 4 ;0;686;786 Vxngxke 4 Vkp`kpkxdklk.Ekgop}jx Dzxzpkl 4 Anevz}kpo P}k}op}oak Jekoi4 kmow}kiapFgekoi,`ne
;
;, Xjgxjpo Iolojx ;,; Pjaoikp }jl}klg Xjgxjpo Iolojx
Xjgxjpo iolojx ejxzvkakl pkikb pk}z ej}nmj p}k}op}oak yklg ejehjl}za pjhzkb enmji ;
8
bzhzlgkl kl}kxk skxokhji }ka hjhkp "_/ mjlgkl pk}z k}kz ijhob skxokhji hjhkp "R/ , Kvkhoik dzeikb skxokhji hjhkp kmk pk}z) mopjhz} pjhkgko xjgxjpo iolojx pjmjxbklk) pjmklgakl kvkhoik }jxmkvk} ijhob mkxo ; skxokhji hjhkp) mopjhz} m opjhz} pjhkgko xjgxjpo iolojx hjxgklmk, Klkiopop xjgxjpo pj}omka%}omkalyk ejeoioao 0 ajgzlkkl) yko}z zl}za }zdzkl mjpaxovpo mkxo cjlnejlk mk}k k}kz akpzp yklg pjmklg mo}jio}o) zl}za }zdzkl anl}xni) pjx}k zl}za }zdzkl vxjmoapo, Xjgxjpo ekevz ejlmjpaxovpoakl cjlnejlk mk}k ejikizo }jxhjl}zalyk pzk}z enmji bzhzlgkl yklg hjxpock}lyk lzejxoa, Xjgxjpo dzgk mkvk} mogzlkakl zl}za ejikazakl vjlgjlmkiokl "anl}xni/ }jxbkmkv pzk}z akpzp k}kz bki%bki yklg pjmklg mokek}o ejikizo vjlggzlkkl enmji xjgxjpo yklg movjxnijb, Pjikol o}z) enmji xjgxjpo dzgk mkvk} moeklckk}akl zl}za ejikazakl vxjmoapo zl}za skxokhji }jxoak}, Lkezl yklg vjxiz moolgk}) vxjmoapo mo mkike anlpjv xjgxjpo bklyk hnijb moikazakl mo mkike xjl}klg mk}k mkxo skxokhji% skxokhji hjhkp yklg mogzlkakl zl}za ejehjl}za enmji xjgxjpo }jxpjhz}) bki olo hokpk mopjhz} ol}jxvnikpo, Mo mkike pzk}z enmji xjgxjpo ao}k kakl ejljezakl anjcopojl%anjcopojl, Anjcopojl vkmk enmji xjgxjpo pjhjlkxlyk kmkikb loiko mzgk vkxkej}jx mo mkike enmji xjgxjpo zl}za anlmopo yklg pjhjlkxlyk) pkek bkilyk mjlgkl ejkl "xk}k%xk}k/ vkmk anlpjv p}k}op}oak, Bklyk pkdk) anjcopojl%anjcopojl zl}za enmji xjgxjpo ejxzvkakl pzk}z loiko xk}k%xk}k yklg hjxvjizklg }jxdkmo vkmk skxokhji _ "skxokhji }ka hjhkp/ hoik pzk}z loiko R "skxokhji hjhkp/ mohjxoakl, Anjcopojl xjgxjpo mkvk} mohjmkakl ejldkmo 8 ek`ke) yko}z4 ;, Ol}jxpjv "ol}jx`jv} "ol}jx`jv} / Ol}jxpjv) mjcolopo pj`kxk ej}jek}op kmkikb pzk}z }o}oa vjxvn}nlgkl kl}kxk pzk}z gkxop mjlgkl pzehz _ vkmk mokgxke.pzehz akx}jpozp pkk} loiko R 5 6, Pjmklgakl mjcolopo pj`kxk p}k}op}oak kmkikb loiko xk}k%xk}k vkmk skxokhji _ kvkhoik loiko vkmk skxokhji R hjxloiko 6, Mjlgkl ak}k ikol) kvkhoik R }omka ejehjxoakl anl}xohzpo) ekak pj`kxk xk}k%xk}k) skxokhji _
;
_ k}kz skxokhji }ka hjhkp dzgk hokpk mopjhz} pjhkgko xjgxjppklm ) mjvjlmjl} skxokhij) skxokhij ) jlmngjlnzp skxokhij) skxokhij ) xjpvnlpj skxokhij) skxokhij ) nx ejkpzxjm skxokhij 8 R k}kz skxokhji hjhkp dzgk hokpk mopjhz} pjhkgko xjgxjppnxp) xjgxjppnxp) jrngjlnzp skxokhijp) skxokhijp ) jrviklk}nxy skxokhijp) skxokhijp ) `nskxok}jp) `nskxok}jp) olvz} skxokhijp) skxokhijp ) vxjmo`}nx skxokhijp k}kz olmjvjlmjl} skxokhijp
8
kakl
hjxloiko
pjhjpkx
ol}jxpjv,
Ol}jxpjv
}omka
pjikiz
mkvk}
k}kz
vjxiz
zl}za
mool}jxvxj}kpoakl, Kvkhoik mk}k vjlgkek}kl vkmk skxokhji R }omka ejl`kazv loiko 6 k}kz ejlmjak}o 6) ekak ol}jxpjv }omka ejeoioao ekalk yklg hjxkx}o) pjbolggk }omka vjxiz mool}jxvxj}kpoakl, 8, Ajeoxolgkl "pinvj "pinvj// Pinvj kmkikb anjcopojl xjgxjpo zl}za skxokhji R "skxokhji hjhkp/ yklg ejxzvkakl pzk}z loiko yklg ejlzldzaakl pjhjxkvk hjpkx anl}xohzpo yklg mohjxoakl pzk}z skxokhji R }jxbkmkv skxokhji _, Loiko pinvj mkvk} vzik mokx}oakl pjhkgko xk}k% xk}k vjlkehkbkl k}kz vjlgzxklgkl yklg }jxdkmo vkmk skxokhji _ zl}za pj}okv vjl olgak}kl pk}z pk}zkl skxokhji R, Pj`kxk zeze mkvk} moenmjiakl pjvjx}o olo4
moeklk
r o o ; 5 ; zl}za o 5 o 5 ;) ,,,) l yklg ejxzvkakl pjhzkb anlp}kl}k yklg }jxekpza mkike enmji "Ol}jx`jv} / Mkike Xjgxjpo Iolojx Pjmjxbklk mkvk} mopjmjxbklkakl hjl}za enmjilyk ejldkmo _ o o 5 θ6 ! θo R ;o ;o ! κo
;,8, Ej}nmj Jp}oekpo
Hklyka pjakio vxnpjmzx k}kz ej}nmj yklg moajehklgakl zl}za jp}oekpo vkxkej}jx mkl olcjxjlpok "zdo jp}oek}nx/ vkmk xjgxjpo iolojx, Mokl}kxklyk yklg }jxajlki kmkikb4 Nxmolkxy Ijkp} P{zkxj "NIP/, Ej}nmj yklg moajlki vkiolg pjmjxbklk mkl vkiolg zeze mogzlkakl zl}za ejlgbkpoiakl jp}oek}nx zl}za ejlgklkiopk mk}k jrvjxoejl ekzvzl nhpjxskpo, Ej}nmj olo ejevjxaj`oi ajpkikbkl vjlmzgkkl yklg }jxaj`oi "mkl ejxzvkakl yklg }jxhkoa/ mjlgkl ejejlzbo hjhjxkvk kpzepo,
0
Jp}oek}nx yklg mobkpoiakl ejikizo ej}nmj NIP olo hjxpock} }omka hokp " zlhokpjm / mkl anlpop}jl doak jxxnx ejeoioao skxoklpo }jxhk}kp mkl }omka ejeoioao anxjikpo mjlgkl skxokhji hjhkp lyk,
Dzgk ejxzvkakl jp}oek}nx yklg hjxpock} jccopojl mjlgkl kpzepo hkbwk jxxnxlyk ejeoioao 8
skxoklpo yklg }jxhk}kp mkl bnenp`jmkp}o` "omjl}oa/ yklg hjxkx}o JQκo r o oU }omka }jxgkl}zlg vkmk o , Vkmk xjgxjpo iolojx pjmjxbklk moeklk bklyk kmk pk}z skxokhji hjhkp "mjlgkl pjhzkb anlp}kl}k/) anjcopojl jp}oek}nx NIP ejeoioao hjl}za pjmjxbklk yklg }jxako} jxk} mjlgkl anjcopojl anxjikpo mokl}kxk anskxoklpo " `nlskxokl} / mjlgkl skxokhji }ka hjhkp lyk,
;,0 Zdo Kpzepo Aikpoa Xjgxjpo Iolojx
Pj`kxk eklzki) mkike ejikazakl zdo kpzepo aikpoa xjgxjpo iolojx) ao}k bkxzp }jxijhob mkbziz ejlmkvk}akl mk}k xjpomzki, Vjxiz ao}k olgk}) vjlgzdokl kpzepo aikpoa ejlggzlkakl mk}k xjpomzki) hzakl mk}k vjlgkek}kl) aj`zkio zdo kpzepo ezi}oaniolojxo}kp, Mjlgkl ak}k ikol) vjljxkvkl vjlgzdokl kpzepo aikpoa xjgxjpo iolojx moikazakl }jxbkmkv mk}k xjpomzki) aj`zkio zl}za zdo kpzepo ezi}oaniolojxo}kp "vkmk xjgxjpo iolojx hjxgklmk/, Zdo }jxbkmkv kpzepo%kpzepo olo ejeoioao vjxklkl yklg pklgk} vjl}olg akxjlk kvkhoik kpzepo%kpzepo mo hkwkb }jx vjlzbo) ekak enmji xjgxjpo iolojx yklg movjxnijb kakl hjxpock} HIZJ "Hjp} Ioljkx Zlhokpjm Jp}oek}nx/, Kpzepo%kpzepo yklg vjxiz movjlzbo mkike xjgxjpo iolojx kmkikb4 ;, Lnxekio}kp Jxxnx ejlyjhkx lnxeki mjlgkl xk}k%xk}k lni mkl pzk}z xkgke "skxokl`j/ }jx}jl}z, Vjlziopkl ek}jek}op mkxo kpzepo lnxekio}kp olo kmkikb4
| "6 ) 8 / P}k}op}oa zdo yklg vkiolg pjxolg mogzlkakl zl}za ejlgzdo kpzepo ajlnxekikl jxxnx mjlgkl jxxnx mjlgkl ejlggzlkakl mk}k xjpomzki kmkikb Aniengnxns%Peoxlns lnxekio}y }jp} mjlgkl }jp} mjlgkl bovn}jpop B6 4 Mk}k ejlyjhkx lnxeki B; 4 Mk}k }omka ejlyjhkx lnxeki Pjikol mjlgkl p}k}op}oa zdo) vjejxoapkkl ajlnxekikl xjpomzki mkvk} vzik moikazakl mjlgkl [[%Vin}, Doak }o}oa ejlyjhkx mo pjao}kx gkxop izxzp) ekak mkvk} moklggkv hkbwk mk}k ejeoioa pjhkxkl Lnxeki,
=
8, Omjl}oa k}kz Bnenpajmkp}oa Xkgke mkxo jxxnx hjxpock} bnengjl "bnenpajmkp}o`/, Ekapzm mkxo xkgke hjxpock} bnengjl kmkikb hkbwk jxxnx ejeoioao loiko xkgke yklg pkek kl}kxk jxxnx aj% jxxnx aj%o o mkl mkl jxxnx aj% jxxnx aj% 8 8 d , Pj`kxk ek}jek}op mo}ziop 5 5 8 moeklk o ) d 5 d 5 ;) ,,,,) l1 mkl l 5 hklykalyk
vjlgkek}kl, Hkgkoeklkvzl dzgk) jxxnx pjhjlkxlyk jxxnx pjhjlkxlyk hjxzvk mk}k, Bklyk pkdk) pklgk} pzio} k}kz hkbakl }omka ezlgaol zl}za ejlgj}kbzo loikolyk pj`kxk vkp}o, Nijb akxjlk o}z) movjxizakl pzk}z vjlmzgk mkxo mk}k jxxnx , Mk}k vjlmzgk yklg vkiolg }jvk} kmkikb mk}k xjpomzki, Pj}okv loiko mkxo mk}k xjpomzki mobkxkvakl ejeoioao loiko xkgke yklg eoxov, Kvkhoik jxxnx ejeoioao jxxnx ejeoioao xkgke yklg bnengjl) mjeoaokl dzgk p jbkxzplyk mjlgkl xjpomzkilyk, Hjhjxkvk zdo mkl `kxk mkvk} moikazakl zl}za ejlyjiomoao bnenpajmkp}o}kp vkmk xjpomzki mk}k) mokl}kxk kmkikb Zdo Hxjzp`b%Vkgkl) Zdo Vkxa) Zdo Anxjikpo Xkla Pvjkxekl mph, Bovn}jpop yklg hjxikaz mkike zdo bnenpajmk}opo}kp xkgke jxxnx kmkikb4 jxxnx kmkikb4 8 8 8 B6 4 5 5 ,,, 5 5 8
B; 4 Pj}omka%}omkalyk kmk pk}z vkpklg xkgke jxxnx yklg jxxnx yklg }omka pkek Ao}k dzgk mkvk} ejlggzlkakl akioek} hokpk mkike ejlyzpzl bovn}jpop4 B6 4 Xkgke jxxnx hjxpock} jxxnx hjxpock} bnenpajmkp}oa B6 4 Xkgke jxxnx hjxpock} jxxnx hjxpock} bj}jxnpajmkp}oa,
0, Olmjvjlmjl Jxxnx }omka Jxxnx }omka ejlgkikeo kz}nanxjikpo, Kmklyk kz}nanxjikpo vkmk jxxnx ejlgolmoakpoakl jxxnx ejlgolmoakpoakl hkbwk kmk pk}z k}kz hjhjxkvk cka}nx "skxokhji/ vjl}olg yklg ejevjlgkxzbo skxokhji }jxoak} _ yklg }omka moekpzaakl aj mkike enmji xjgxjpo, Kz}nanxjikpo pjxolg vzik ezl`zi vkmk akpzp moeklk mk}k yklg mogzlkakl ejekpzaakl zlpzx wka}z "mk}k }oej%pjxojp/, }oej%pjxojp/, P}k}op}oa zdo yklg pjxolg movkako kmkikb Zdo Mzxhol%Wk}pnl "MW%p}k}op}o`p "MW% p}k}op}o`p/, /, Bovn}jpop zl}za zdo kpzepo kz}nanxjikpo yklg pjxolg movkako kmkikb4 B6 4ϋ 5 6 B; 4ϋ ≦ 6 Axo}jxok zdo hkgo MW%p}k}op}o`p MW%p}k}op}o`p zl}za akpzp zdo 8%kxkb4 % doak MW 9 mI ) ekak }nika B6 ) k}kz % doak MW < = ‐ mI ) ekak }nika B6 ) k}kz
:
% doak mZ 9 MW 9 = ‐ mZ ) ekak }jxoek B6 ) lkezl doak % doak mI ≭ MW ≭ mZ k}kz =∘mZ ≭ MW ≭ =∘mI ) ekak }omka mkvk} mopoevziakl kvkakb }jxdkmo kz}nanxjikpo k}kz }omka, Doak mjeoaokl) pjhkoalyk ejlggzlkakl p}k}op}oa zdo yklg ikol) eopki zdo kz}nanxjikpo pjhkgkoeklk yklg mokdzakl n ijb ]bjoi mkl Lkgkx, Aj}jxklgkl4 MW 5 loiko p}k}op}oa zdo Mzxhol%Wk}pnl bkpoi vjxbo}zlgkl mI 5 hk}kp hkwkb }khji Mzxhol%Wk}pnl vkmk pzk}z l mkl a }jx}jl}z a }jx}jl}z mZ 5 hk}kp k}kp }khji Mzxhol%Wk}pnl vkmk pzk}z l mkl a }jx}jl}z a }jx}jl}z l 5 hklykalyk vjlgkek}kl a 5 a 5 hklykalyk skxokhji hjhkp mkike enmji xjgxjpo
;,= Anjcjpojl Mj}jxeolkpo mkl Zdo Enmji Xjgxjpo
Iklgakb vjl}olg pjikldz}lyk pj}jikb }jxvjlzbo kpzepo%kpzepo xjgxjpo iolojx kmkikb zdo }jxbkmkv enmji mkl anjcopojl%anjcopojl xjgxjpo hkoa pj`kxk poezi}kl ekzvzl vkxpoki mkl ejlgj}kbzo anjcopojl mj}jxeolkpolyk,
8
;,=,; Anjcopojl Mj}jxeolkpo X
Anjcopojl mj}jxeolkpo kmkikb hjpkxlyk ajxkgkekl "olcnxekpo/ "olcnxekpo/ mo mkike skxokhji _ 8
yklg mkvk} mohjxoakl nijb enmji xjgxjpo yklg momkvk}akl, Loiko X hjxaopkx kl}kxk 6 p,m, ;, 8
Kvkhoik loiko X moakioakl ;66*) ekak bki olo ejlzldzaakl ejlz ldzaakl vjxpjl}kpj ajxkgkekl "olcnxekpo/ mo mkike skxokhji _ yklg mkvk} mohjxoakl nijb enmji xjgxjpo yklg momkvk}akl, Pjekaol hjpkx loiko X8) pjekaol hkoa enmji xjgxjpo yklg movjxnijb,
;,=,8 Zdo Enmji Xjgxjpo
Zdo Poezi}kl Enmji Xjgxjpo "C zdo/
Zdo poezi}kl "nsjx "nsjx kii }jp} / vkmk anlpjv xjgxjpo iolojx kmkikb vjlgzdokl ejlgjlko kvkakb enmji xjgxjpo yklg momkvk}akl hjlkx%hjlkx mkvk} mo}jxoek, Zdo poezi}kl hjx}zdzkl zl}za ejlgzdo kvkakb kl}kxk skxokhji hjhkp R mkl }ka hjhkp _ hjlkx%hjlkx }jxmkvk} bzhzlgkl iolojx "ioljkx "ioljkx xjik}onl/ xjik}onl / k}kz }omka) }jxekpza ol}jxpjvlyk, Bovn}jpop yklg hjxikaz zl}za vjlgzdokl olo kmkikb4 B6 4 θ6 5 θ; 5 ,,, 5 θ o 5 6 B; 4 ]omka pjezk θo 5 o 5 6 3
o 5 6) ;) ,,,) a a 5 a 5 hklykalyk skxokhji hjhkp "R/ Vjldkhkxkl pj`kxk bo}zlgkl zl}za zdo poezi}kl olo mkvk} mo}jezo vkmk }khji KLNSK "Klkiypop Nc Skxokl`j/, Mo mkike }khji KLNSK kakl mo}jezo l oiko p}k}op}oa%C " Cbo}zlg /) moeklk4 doak Cbo}zlg ≭ C}khji " C}khji " mh; mh; ) mh8 mh8 / ekak }jxoek B6 ) pjmklgakl doak Cbo}zlg < C}khji " C}khji " mh; mh; ) mh8 mh8 / ekak }nika B6 , mh; mh; mkl mh8 mh8 kmkikb vkxkej}jx%vkxkej}jx vk xkej}jx%vkxkej}jx C}khji ) C}khji ) moeklk4 mh; mh; 5 mjxkdk} hjhkp ; 5 v 5 v %; mh8 mh8 5 mjxkdk} hjhkp 8 5 l % v v 5 hklykalyk vkxkej}jx "anjcopojl/ enmji xjgxjpo iolojx l 5 hklykalyk vjlgkek}kl Kvkhoik B6 mo}nika) ekak enmji xjgxjpo yklg movjxnijb mkvk} mogzlkakl,
Zdo Vkxpoki
Zdo vkxpoki mogzlkakl zl}za ejlgzdo kvkakb pjhzkb skxokhji hjhkp R hjlkx%hjlkx ejehjxoakl anl}xohzpo }jxbkmkv skxokhji }jxoak} _, Mkike vjlgzdokl olo olgol moaj}kbzo kvkakb doak pj`kxk }jxvopkb) pzk}z skxokhji R ekpob ejehjxoakl anl}xohzpo pj`kxk poglocoakl }jxbkmkv skxokhji }ka hjhkp _, Bovn}jpop zl}za zdo olo kmkikb4 B6 4 θ d 5 d 5 6 B; 4 θ d ≦ 6 moeklk4 d 5 d 5 6) ;) ,,,) a a 5 a 5 hklykalyk skxokhji hjhkp R Zdo vkxpoki olo ejlggzlkakl zdo%}) yko}z4 doak }bo}zlg ≭ }}khji " }}khji "l% v/) v/) ekak }jxoek B6 doak }bo}zlg < }}khji " }}khji "l% v/) v/) ekak }nika B6) moeklk "l% v/ v/ 5 vkxkej}jx } }khji l 5 hklyklyk vjlgkek}kl v 5 hklykalyk vkxkej}jx "anjcopojl/ enmji xjgxjpo iolojx Kvkhoik B6 mo}nika) ekak skxokhji hjhkp R }jxpjhz} ejeoioao anl}xohzpo yklg poglocoakl }jxbkmkv skxokhji }jxoak} _, 7
8, Poezikpo Mk}k mjlgkl Xjgxjpo Iolojx Pjmjxbklk mkl Ol}jxvxj}kpolyk Mohjxoakl mk}k Skxokhji _ pjhkgko skxokhji }ka hjhkp lyk mkl R pjhkgko skxokhji hjhkp lyk pjhkgko hjxoaz}4 r
y
;6
7)=3
2 ;0
3)77 ;8)7=
?
7);;
;;
7)2;
;=
2)2=
3
3)62
= ;8
:)0? 2);:
7
3)=8
:
:)70
Ajezmokl mkxo mk}k }jxpjhz} mo k}kp moikazakl poezikpo zl}za ejevjxnijb enmji xjgxjpo iolojx pjmjxbklklyk mjlgkl ejlggzlkakl vkaj} pnc}wkxj p}k}op}oa "Eolo}kh k}kz PVPP/, Bkpoilyk kmkikb pjhkgko hjxoaz}4 ]bj xjgxjpponl j{zk}onl op y 5 0)66 ! 6):66 r
Vxjmo`}nx @nlp}kl} r
@njc 0)668 6)=??7
P 5 ;)8030;
PJ @njc ;);8= 6);;7?
X%P{ 5 33)3*
] 8)37 =)8=
V 6)683 6)668
X%P{"kmd/ 5 38)?*
Klkiypop nc Skxokl`j Pnzx`j Xjgxjpponl Xjpomzki Jxxnx ]n}ki
MC ; ? ;6
PP 87)=76 ;0)7:3 =;)883
EP 87)=76 ;):82
C ;7)?7
V 6)668
Mzxhol%Wk}pnl p}k}op}o` 5 8);=0:2
8
8,; Vjehjl}zakl Enmji Xjgxjpo "Zdo C/ mkl Anjcopojl Mj}jxeolkpo X
Enmji yklg }jxhjl}za mkxo nz}vz} mo k}kp kmkikb y 5 0)66 ! 6):66 r P 5 ;)8030;
X%P{ 5 33)3*
X%P{"kmd/ 5 38)?*
2
Klkiypop nc Skxokl`j Pnzx`j Xjgxjpponl Xjpomzki Jxxnx ]n}ki
MC ; ? ;6
PP 87)=76 ;0)7:3 =;)883
EP 87)=76 ;):82
C ;7)?7
V 6)668
Pjhjize ao}k hjlkx%hjlkx ejljxoek enmji xjgxjpo }jxpjhz} zl}za ejldjikpakl bzhzlgkl kl}kxk skxokhji R mkl _) }jxijhob mkbziz bkxzp ao}k vjxoapk kvkakb enmji xjgxjpo ao}k hjhkp mkxo vjiklggkxkl kpzepo aikpoa xjgxjpo iolojx, ]kevka hkbwk enmji xjgxjpo yklg momkvk}akl mkvk} mo}jxoek, Loiko C bo}zlg "KLNSK/ zl}za enmji xjgxjpo mo k}kp kmkikb ;7)?7 mjlgkl mh; mh; kmkikb ; mkl mh8 mh8 hjxloiko ?, Zl}za ijhob ezmkblyk ejljl}zakl kvkakb C bo}zlg mkxo KLNSK pjhjpkx o}z poglocoakl k}kz }omka) ao}k mkvk} ejehklmolgakl v%skizj mjlgkl }olgak} poglocoaklpo yklg mogzlkakl) mkike akpzp olo eopkiakl λ 5 6,6:, ]jxiobk} hkbwk v%skizj mkxo C bo}zlg mok}kp ijhob aj`oi mkxo 6,6:) pjbolggk mkvk} mopoevziakl hkbwk enmji xjgxjpo yklg movjxnijb ikyka mogzlkakl, Anjcopojl mj}jxeolkpo "X%P{zkxj/ lyk 5 33)3*) bki olo ejlgolmoakpoakl hkbwk pjao}kx 37 vjxpjl ajxkgkekl "olcnxekpo/ mo mkike skxokhji _ yklg mkvk} mohjxoakl nijb enmji xjgxjpo,
8,8 Zdo Kpzepo%kpzepo ]jxbkmkv Enmji Xjgxjpo 8,8,; Zdo Lnxekio}kp
Bkpoi zdo kpzepo lnxekio}kp jxxnx mjlgkl p}k}op}oa zdo Aniengnxns%Peoxlns kmkikb pjhkgko hjxoaz}4
Ejkl %8)6;2:?J%;: P}Mjs ;);70 L ;; AP 6)87? V%Skizj 6)68:
Vxnhkhoio}y Vin} nc XJPO; Lnxeki ?? Ejkl Ejkl P }Mjs L AP V %S %Skiz j
?: ?6
%8)6; %8)6;2: 2:?J% ?J%;: ;: ;);70 ;; 6)87? 6)68:
26 76
} l 36 j ` :6 x j =6 V
06 86 ;6 :
;
%0
%8
%;
6
;
8
0
=
XJPO;
?
]jxiobk} hkbwk loiko v%skizj lyk 6)68: ijhob aj`oi mkxo loiko λ 5 6,6:) mjlgkl mjeoaokl B6 mo}nika, Mk}k poezikpo }jxlyk}k }omka ejlyjhkx Lnxeki,
8,8,; Zdo Bnenpajmkp}opo}kp "omjl}oa/
Zdo kpzepo bnenpajmkp}opo}kp vkmk xkgke jxxnx movjxnijb mkxo Zdo Anxjikpo Xkla Pvjkxekl, Mjlgkl bkpoi vjlgnikbkl pjhkgko hjxoaz}4 @nxxjik}onlp
Xjpomz; Pvjkxekl'p xbn
Xjpomz; Xjpomz;
@nxxjik}onl @nxxjik}o nl @njcco`ojl} Pog, "8%}koijm/ L
y
@nxxjik}onl @nxxjik}o nl @njcco`ojl} Pog, "8%}koijm/ L
r
@nxxjik}onl @nxxjik}o nl @njcco`ojl} Pog, "8%}koijm/ L
y
r
;,666
%,8=:
%,003
,
,=37
,0;8
;;
;;
;;
%,8=:
;,666
,=37
,
,666
;;
;;
;;
$$
;,666
,0;8
,666
,
;;
;;
;;
%,003
,??;
,??;
$$
$$, @nxxjik}onl op pogloco`kl} k} }bj 6,6; ijsji "8%}koijm/,
Kpzepo Bnenpajmkp}opo}kp mkvk} mo}jxoek) akxjlk loiko Poglocoaklpo zdo ajmzk cka}nx }jxpjhz} < 6)6:, Mjlgkl mjeoaokl vkmk xkgke jxxnx hjxpock} omjl}oa k}kz hjxpock} bnenpajmp}opo}kp "pjxkgke/,
8,8,; Zdo Olmjvjlmjlpo "Lnl%kz}nanxjikpo/
Vkmk bkpoi vjlgnikbkl mk}k) loiko Mzxhol ‐ Wk}pnl movjxnijb4 Mzxhol%Wk}pnl p}k}op}o` 5 8);=0:2
Loiko MW p}k}op}o` yklg hjxkmk mo pjao}kx klgak 8 ejlgolmoakpoakl }omka }jxdkmolyk kz}nanxjikpo vkmk jxxnx, Kvkhoik MW p}k}op}o` mo k}kp ao}k hklmolgakl mjlgkl }khji MzxholWk}pnl hnzlmp) hnzlmp) ekak ajpoevzikl yklg pkek kakl ao}k vjxnijb, Ao}k iobk} vkmk }khji }jxpjhz} mjlgkl l 5 ;;) a 5 a 5 ; mkl λ5 6,6:) loiko mZ kmkikb ;,:?, Ao}k }kbz hkbwk MW hjxkmk mo mkike xjl}klg mZ bolggk
= ‐ mZ ) yko}z4 ;6
;,:? 9 8);=0:2 9 8,=; Mjlgkl mjeoaokl mk}k hjhkp mkxo kz}nanxjikpo, Klggkv pkdk pjezk kpzepo xjgxjpo iolojx
y 5 0)66 ! 6):66 r
pzmkb molyk}kakl
}jxvjlzbo) ekak vxnpjp hjxoaz}lyk kmkikb zdo vkxpoki mkxo anjcopojl xjgxjpo iolojx yklg ao}k vjxnijb,
8,0 Zdo Vkxpoki "Zdo }/
Mkxo vjlgnikbkl mjlgkl ejlggzlkakl zdo } "vkxpoki/ }jxbkmkv anjcopojl xjgxjpo movjxnijb bkpoi pjhkgko hjxoaz}4 Vxjmo`}nx @nlp}kl} r
@njc 0)668 6)=??7
PJ @njc ;);8= 6);;7?
] 8)37 =)8=
V 6)683 6)668
Hkoa ol}jxpjv ekzvzl anjcopojl xjgxjpo zl}za skxokhji R ejeoioao v%skizj ejeoioao v%skizj yklg ijhob aj`oi mkxo λ 5 6,6:, Mjlgkl mjeoaokl) pj`kxk vkxpoki mkvk} moak}kakl hkbwk skxokhji R ejeoioao vjlgkxzb }jxbkmkv skxokhji _ pj`kxk poglocoakl, Ol}jxvxj}kpo
;, Kvkhoik skxokhji R } omka kmk vjxzhkbkl. anlp}kl "}j}kv/) ekak skxokhji _ kakl }j}kv hjxkmk vkmk 0)668 zlo} 8, Vjlolgak}kl ; zlo} skxokhji R) kakl ejlolgak}akl skxokhji _ pjhjpkx 6)=???7 zlo}
;;
