Aotlkaotim} ” O ]TKV HY ]TKV ]EC[TIE@ HY > I}jo`dox ]ktiodi
]ec{tie`> Tlk q{odxotim g{`mtie` i} ai`iai~kd ot | 1 8# tl{} ,| 1 8)
y’ 1 8O| ” H 1 6
4O 1 H.
8
y 1 O| ” 4O| * M | 1 !8 4? 1 4O *
?8 O * M 1 4?
| 1 ; 86 1 8;O ” 86O * M ;O * M 1 86 ]ecwi`b tlk kq{otie`# O 1 =# M 1 ;# o`d H 1 4O 1 ?8. ?
8
Xkme`}tx{mti`b tlk kq{otie` y 1 =| ” ?8| * ;# tlk ai`ia{a woc{k eg tli} g{`mtie` i} ehtoi`kd rlk` | 1 8# o`d y 1 =,8) 8 ” ?8.,8) * ; 1 ?8 ” 84 * ; 1 !2.
I}jo`dox ]ktiodi 86?8. Occ Xiblt} Xk}kxwkd. s ]TKI ITH 86??
]ec{tie`> Hy }ecwi`b tlk kq{otie` | 8 * 8| ” 8 1 6>
|?# 8 1
∘8¿
, 8)
8
∘ 4,?),∘8)
8,?)
1
∘8¿
8 =
8
#rk’cc ehtoi` tlk woc{k eg | 1 !? ¿
8
∞ = .
8
| 1 8 ” 8|# }{h}tit{ti`b te V 1 ,|).,8 ” 8|) * ,8 ” 8|) * o| * ? V 1 !8| * o| * =
∞
]{htit{ti`b | 1 !? ¿ = te V# rk’cc bkt V 1
∘8 ? ∝ 8∞ = * = * ∘? ¿ ∞ = * =
∘ ∘ ) ¿ , * 4)∞ =
V1, ;
@etk tlot i` exdkx te ehtoi` xotie`oc `{ahkx# , * 4) 1 6 }e
∘ ∘ ,∘4)) 4)) 1 ∘?.
Woc{k eg V 1 , ;
8
I}jo`dox ]ktiodi 86?8. Occ Xiblt} Xk}kxwkd. s ]TKI ITH 86??
1 ∘4.
]ec{tie`> ,i) |
8
∘ = | ∘ ?6 3
Mlee}i`b | 1 6
6
, | ∘ ;)., | * 8) 3
6
!?6 3 6 ,Tx{k)
∌
Tl{} tlk }ec{tie` eg tlk kq{otie` i} z| s !8 3 | 3 ; #| X. O 1 ,8) o`d H 1 ,?) ,ii) s | ∘ 8 s3 o 8 ∘ | 3 o 3 | ∘ 8 zgex | 0 6 ex | ∘ 8 3 o 3 8 ∘ | zgex | 3 6 Rlk` | 1 !8# !8# tl{} ” 4 3 o 3 4# o`d rlk` | 1;# tl{} != 3 o 3 =. I` exdkx te }ecwk tlk kq{otie`# rk’cc bkt o ≤ ∘4 o`d
o≫
4.
@etk tlot o i} o ve}itiwk xkoc `{ahkx# }e rk’cc bkt o ≫ 4 o} tlk e`cy }ec{tie`. M 1 ,7) =
I}jo`dox ]ktiodi 86?8. Occ Xiblt} Xk}kxwkd. s ]TKI ITH 86??
,iii) Rlk` tlk }kt i} xkwkx}kd# xkwkx}kd# rk ro`t te gi`d tlk woc{k eg o rliml i} o }{ggimik`t me`ditie` te |
8
∘ = | ∘ ?6 3
6 . Tl{}# rk mo` xkwkx}k tlk }{h}kt eg }ec{tie` te ” =
≤
o ≤ =# }i`mk o i} o ve}itiwk
xkoc `{ahkx# }e rk’cc bkt 6 3 o ≤ = o} tlk e`cy }ec{tie`. D 1 ,<)
]ec{tie`> Citkxoccy# tlkxk i} ot cko}t tre ji`d eg ovvxeomlk} te tli} vxehcka. Rk’cc }kk tlk hetl ji`d eg ovvxeomlk} lkxk. Gix}t# tlk vxehohicity eg tlk coxbk}t `{ahkx i} 4 ex ck}} 1 ?
∘ =. 78 . 47 . 47 ∘ =. 78 . 78 . 47 ∘
74 1 < . ,K|vco`otie`> =. 8 . 4 . 4 i} tlk vxehohicity tlot e`k eg tlka i} 78 . 78 . 78 1 8?7 82 7 7 7 8 8 4 bxkotkx tlo` 4# rlick =. . . i} tlk vxehohicity tlot tre eg tlka oxk bxkotkx tlo` 4. Tli} i} 7 7 7 tlk k|oavck eg gix}t ovvxeoml rlkxk V,H) 1 ? ” V’,H) ) 4
]kme`d# tlk vxehohicity eg coxbk}t `{ahkx i} = ex ck}} 1
=7 . =7 . =7 1
}kme`d ovvxeoml)
I}jo`dox ]ktiodi 86?8. Occ Xiblt} Xk}kxwkd. s ]TKI ITH 86??
O`d tlk e{tmeak i` rliml tlk coxbk}t `{ahkx i} 4
Tl{}# O 1
< ∘ ? 1 =2 . 82 < 8?7
< # H 1 ? # o`d M 1 =2 . 82 < 8?7
]ec{tie`>
, | * y * ~ )
8
1 |
|y * |~ * y~ 1
, |
8
* y
8
* ~
8
)
8
8
* y
8
* ~
8
* 8, |y * |~ * y~) 1
9 : ]{htit{ti`b |
8
* y
8
*~
8
6.O16 1 |
4
* y
4
* ~
4
* 8z, |y)
8
* , y~ )
8
* , ~|)
8
q tl{} rk’cc bkt H 1 8.
[}i`b tlk }oak k|vo`}ie` idk`tity# rk’cc bkt ;
8
z, |y) * , y~) * , ~|)q
1
6 1 , |y)
8
1 , |y)
* , y~ )
8
8
* , y~ )
* , ~|)
8
8
* , ~|)
8
* 8, |y~), | * y * ~ )
* 8, ∘8),=) , |y)
8
* , y~ )
I}jo`dox ]ktiodi 86?8. Occ Xiblt} Xk}kxwkd. s ]TKI ITH 86??
8
* , ~|)
8
1 ?8
9 # rk’cc bkt
]{htit{ti`b> ,9)
8
1 |
4
* y
4
*~
4
4
4
* 8z?8q | * y * ~
8
4
1
8
]ec{tie`> It’} ko}icy `etkd tlot OB. OK 1 OD 1 OG ,[}i`b tlk to`bk`t eg mixm{a}mxihkd mixm{a}mxihkd mixmck)
... . .}i`,76) ∇ ? ∞ = ∞ = ∞ = Rk’cc bkt 1 1 1 . 1 . Tl{} rk’cc bkt O 1 . . . 8 8 4 4 @etk tlot HD 1 HK o`d MG 1 KM }e tlot HM 1 HK * KM 1 HD * MG 1 7. Tl{} rk’cc bkt H 1 7. 7 8
8
8
. . : me} 76 1 ?8
[}i`b tlk me}i`k x{ck HM 1 OH * OM ” 8.
8
8
8
8
8
=7 1 ,|*4) * ,|*8) ” ,|*4).,|*8) =7 1 | * <| * ?7 * | * 4| * 4 ” | ” 7| ” <
I}jo`dox ]ktiodi 86?8. Occ Xiblt} Xk}kxwkd. s ]TKI ITH 86??
8
\ * 7| ! 84 1 6# Tl{} rk’cc bkt M 1 7 o`d D 1 !84.
]ecwi`b tlk vxkwie{} kq{otie`# rk’cc bkt | 1
]i`mk | 0 6# tlk` K 1
∘=*
∘7¿
=7 ∘ 4.?.,∘84) 8
1
== .
]ec{tie`>
2
@etk tlot V_ i} dkgi`kd hy y
1 ∘|
8
*4
8
# rk’cc bkt V_ 1 4 ∘ ο _X 1 8 ο
I}jo`dox ]ktiodi 86?8. Occ Xiblt} Xk}kxwkd. s ]TKI ITH 86??
∘7¿ 8
8
==
1 ∘= ¿
==
@etk tlot VT i} dkgi`kd hy y
1
? 8
|
8
∘8#
rk’cc bkt VT 1 8 ∘
Rk’cc lowk c 1 8 | , V_ * VT * _X) 1 8 |, 4 ∘ ο
c " 1 4 ∘ 7ο 1 6
c
1 ?8 * 4ο ∘ =ο
8
ο
1
8 =
8
*8∘
?
ο
8
8
? 8
|
8
* 8ο )
1 ?8 * 4ο ∘ =ο
# c i} ao|iai~kd o`d it} ao|ia{a woc{k i}>
1 ?8 * 4,
8
8 8 < 4 ) ∘ =, ) 1 ?8 * ∘ = = = =
1
46 =
Tl{} rk’cc bkt O 1 4# H 1 8# M 1 8# D 1 8# K 1 ?8# G 1 4# B 1 =# L 1
<
I}jo`dox ]ktiodi 86?8. Occ Xiblt} Xk}kxwkd. s ]TKI ITH 86??
8 =
# o`d I 1
46 =
.
8
