EQUIPE D’ANALYSE

(1)

EQUIPE D’ANALYSE

ESA 7064 – CNRS

Universit ´e Pierre et Marie Curie - Paris 6

Tour 46 - 0 - Boˆıte 186 - 4, place Jussieu - 75252 PARIS CEDEX 05 T él : (33-1) 44 27 53 49 - T él écopie : (33-1) 44 27 25 55 - lana@ccr.jussieu.fr

COURS DE MATHEMATIQUES 4

DEUG 2

Analyse vectorielle

Sylvie DELABRIERE

(2)

(3)

2432 57698:8<;>=@?A;>BDCFE4BG6&BIH@E4CF?A?GJFKL=;>?A698F8:=@HMN6&BIH@E4CF?A=H@CPO;6&HK;?AQF;SRUTLQF6&CF?

RUV3

W/XYXZ[]\_^(`

abUc dee

d f

ahg<c dee

d

f_eeeif

a T c ddee

j `Fkl`mh\onp`XqZXrts_u\wv(\

R

Tx

ywz{l{4|I}~+N_h_N11iY]___Y_q]YqiG

__I]qq_pp_I1I ]

R T¢¡

]_19pI1£_¤_N

RUV(¥

i§¦ ]¨_qqi©>(ª]N

]t+>p]_>Ipll_]_p4«ª¬

¡

]p19_Gt_pN®Y¬

¥@¯

q9___1]___G

ywz{l{4|I}~°±³²4q¤q+ip1Pipi]<´¶µ¸·º¹

R T» RUV¼

_(¸]t+>p]_>I_+½(¤1]_

¾¬:«

¯N¿À¯ÀÁ

:Â_ÃI«piq_(__GG(]Ã_q

¿

h>®_ÃpI]q_pÃ_ÃÂ_

+N´

¯

q__I1G(]&¸i¤¦(]¸_©N U

RUTq¯

_Äp+]Å_p&9i¤¦(]¸_©N UU_Æ_1l_

RUV

ywz{l{4|I}~Ç³Èlll I i_](

É£Ê _q+_ip]_

R

qq

RUV

]>l]t+N_h_>Ip_llÀq_À1]__Ã¬

¯

NÆ_(

Á

]U+ÀpÀ1]ip__iqI·º¹ R f

RUV¼

p(lª_Â

Á

RUV

Ë-Ê

pFÌ1]_ipi]pF (

R T ¯

NÆ_(

Á

½]¾_+_1i_]_

R T

qq

R¸¯

]Nl]+N_]pNI_pll_]_p ¬«

¯

>Æp(

Á

]/l_]_pÀÂqI

Í4Î_>1iq>Àip¾1]ip_¾pq_¾GÀi_Ï]_p¾iÂq_

Á

w«Ð__pN1

¯

_p_/(9_]I

¸Æiq_>pÀiÂ¸I¦ ]i©>(p_NlÑ+(>

RUT¯

¹

RUT¼£Ò

c

·Ó¹

RUT » R:¼oÁ

RUT

t(Ô³Õ_G

(4)

243× 57698:8<;>=@?³;B³CFE4BI69BIHE4CF?Î?GJFKª=;>?ÎØEÃC:MNBIH@E4CF?ÎM®EÃC¸BIHC¸JF;>?ÎQF;DR T QF6&CF?¨RUV3

W/XPÙ¾uqXr^(`Ï[]ZuÚ1Zuq^]m R T

vÛuX\¤XqZ^]Ù¤\XqZ[NÜ\p\Ý

e Ý x®Þ

XPß^(`[]rts_uq\Ià®ZXPßZu^]^(`áß^]\pX+v(^]\ j ÛuX\âv \_m

XZ^]Ù\_mÏn

j

`mhm]rts_uq\_m¾ã

Ýä:Ý

b

cAå

ä

b_åæ7å

ä

gIå æ

eeie æå

ä T å f Ýä:Ý£ç

c

mhuß

èié bêgêìëëìëìê

T åä è å f Ýä:Ý

g c ä gb æ ä gg æ

eee æ ä gT

b#í]g

î `Xm j `Ãß^(`[]r£spu\Ià j\ÑnïqZriðwv \ j `4XqZ^]Ù\/XlÛi`uq^(`4ß+`mvÛriÙß®Z^][(`X+n\ñ`n_`um]\Ñv(uÏ[]ïÜ\pZ^pñ\pÙ\/mhurò`XI[Àã

ó<ôÑõ|Iö÷Gø|Iù³|°±³úlû_

Á

_qüG:i_pýI

þ

( ³_+__G]_/w_hi³qÿ

¯

11_¾_Ï]_¾h>_©>(t]_>1_

¯

NÆ_

Á

]¾©N+ÆI1>9__FqI(Äq]_ Ý e Ý I

åååeååå

(Ñÿ

¯

+pÄI(1¾_Fpq(1N1_

f

d 1__

©N

ä µÿ

f åååä ååå Ýä:Ý

åååä ååå

ywz{l{4|I}~±± ¸ ipÀ_ p

¯

¦(_ÀÌ1_]Å_p

¯

ihiqÂ_

Ê þ

toµ R T

I

d +²4¦(<qp(Ï¹

f ¼

¾_pN1]oI9¾]p(9

](]Ô#_h_¦(Ñ

RUT

_qG+

¾¹

f ¼ c

ä µ R T å

Ýä Ý

Yq9__]F+t(]F+__>l___q]_¦ ipÀq_¾¦ ip(

Ê ²4â¦(¤Ì_] p Ï¹

f ¼

¤__>1]YGU¤]_(U¤](]Ô#_h_¦(¤

R T

_qG+

¾¹

f ¼ c

ä µ R T å

Ýä Ý

ywz{l{4|I}~±1Ç þ tµ

R T â]q9_iá©>+Æ(](]Ô#_]p¦( "!

R T

_ (]Â

#¤

RUT

Æi_ÄG(1$

d p>©>(Ñâ¦(#Ï¹

f ¼

Ñp_N1]#¤I&<]

¯

_ lp£ ]

% o

W/XYXZ[]\_^(`'&

¹

¼ j Û\_Xqm]\_ÙÏk j\ov(\pmÀòZrm]riXl`)(\pm¾v \ v`Xm RUT x

ywz{l{4|I}~P±+* ªt:©>+Æ(¾+(1-,Ó_(á ¨qp(:

R T

].,Ó_ á(A]Â½q

ûG(qh_l4>

ywz{l{4|I}~Y±+/ þ £10 ã ,2!

R T43 RUV

áÌ1I1pá (o(q:+(1á_(1,¶q

R T

I

Á

°]I(]

RUV

Y]©>(50N¹6

¼

_>p]Âo_]Ä7©>(86

3 d

]

9'

d

f:;

d

[@\ j spu\ Ý 6 Ý

;=<

Ý

0N¹6

¼ Ý 9

ywz{l{4|I}~±+>üI1qÀp>1i>(pÀ( R T

²9qFÌ1I10 ã ,?!

R T@3 RUV

_qF (Ñ Ã+(1i_(1A,

R T

I

Á

Y]iG(]¸

RUV

_(l_>1i>(Ñ_Báµ=, hC

9' d

fD:FE

d

[]\

j

spu\ Ýä Ý

E-<

Ý

0®¹ ä ¼

0®¹

¼ Ý 9

Gl\_[][@\¤ß^]Zß^]rÜ\_[NÜ\m Û\_ðGß^]rÙ\°`uqm]m]r4\_X v(rm(`XI[wspu\ßZuq^Ñ[@Zuq[@\¤kZu j\ Ï¹0N¹

¼ f 9 ¼

v \ RUV

à®rj \pðIrm][]\

uX\ÑkZu j\

Ï¹

fHE

¼

v \ RUT

[@\ jij\ws_u\

0®¹Ï¹

fHE

¼@¼

!I¾¹0N¹

¼ f 9 ¼

(5)

W/Xv r[spu\ 0 \_mh[nZXI[]rXIu\m]u^ , m]r 0 \pm][ÑntZXI[]rXIuq\F\_X½[@Zuq[/ßZrXG[ áµ=,

x

W/X½XZ[@\p^(`1K ¹,

» RUV¼

j Û\_Xqm]\_Ù¾k j\wv(\pm1LZXlnt[]riZXqm¾ntZXG[@rXGu\_mÏv(\

,?!

RUT

v`Xqm R V x

W/X½òÜ\_^]rNMq\ntZÙÙ\¤v`Xm j\¤n_`mU^NÜ\_\ j s_uq\ j `m]ZÙÙ\Ià j\Fß^]Z>v(uqri[Ußl`^¸uXw^>Ü\p\ j \_[ j `ÏntZÙßZm]r[@rZXv \

v(\_uqðBL1ZXlnt[]riZXqmwntZXG[@rXGu\_mÑmhZXG[wntZXI[]rXIuq\_m xPO

\ßq^]ZNv ur[wv(\°v(\puð8LZX+nt[]rZXmwnZXG[]riXGu\pmwñ`Ïò`

j

\_uq^]m

^NÜ\_\ jj\_mÑ\_m][wntZXG[@rXGu xQO

`5L1ZX+nt[]rZXP^NÜ\Intrß^]Z>s_uq\°vÛuXq\LZX+nt[]rZX ntZXG[@rXGu\°spur9Xq\m(Û`XXIu j\¤ß+`mÑ\_m][

`uqm]m]r/nZXG[]riXGu\

x

243SR 57698:8<;>=@?³;>B³C:EÃBI6&BGHE4CF?³?GJFK¨=;?³CFE4KT§;>?³QU698F8:=@HMN6&BIH@E4CF?³=H@CPO;6&H@K*;?³QF;

R T

Q:69C:?ªRUV3

ywz{l{4|I}U1Ç1WVF]¸Æ(qli_1i_]I

þ q´LµN·º¹

R T» RUV¼t¯

¾9GlpÀh]/l

Ý ´ Ý c m]uß

Ý ´¾¹ ä ¼ Ý å ä µ R T f ÝäÝ

ÈlI]Ñ]w&_]C

ä µ R T f Ý ´¾¹ ä ¼ Ý Ý ´ Ý4Ýä:Ý

ywz{l{4|I}NÇ±ÍÃ¸+(1I(_

¯

]

c ¯

i:]ÃÀÆ ÃÌ1]Ãip]YXYµN·Ó¹

R T» R:¼

c ¹ R T ¼ Ò

_(lq_U+

Ý X Ý c m]uqß

å XN¹

ä ¼

åÑå

ä µ R T f

Ýä:Ý

G

Z&ÏN G1]iw_N1] R T

IÀ]Î+(À¹ R T ¼ Ò ¯

4IÀ(h]/>1]_¾©>(wi°q]w

R T

_(

p/l

Ýä:Ý

c

m]uqß

å XN¹

ä ¼

åÑå XYµ¹

R T ¼ Ò f Ý X Ý

243S[ \ 8:8F=H@M®69BIH@E4C:?¨QFH^]7O;>K;C¸BIH6`_:=@;>?¨QF;AR T QF6&CF?ªRUV3

a õ|cbedYf+gDf1öQd7+*1 É#Ê

þ

t`Ïµ R T

I` ¢ PihiqÂqAá

R T

®²4q+ip

0 ã 3 RUV

_(9qih¾p]_>¦(<p=oqÆ+_ÄGi (q<li_1°i_]<q

R T

RUV(¯

I_

0cj#¹

¼t¯

1_i

0®¹

æ 6 ¼ c 0N¹

¼ æ 0 j

¹

¼

¹6

¼ æ Ý 6 Ý 9 ¹6

¼

Á

jrÙ

kDlAm 9 ¹6

¼ c d

Ë-Ê

<Æli_1n0 j ¹

¼

µ½·Ó¹ R/T

f R V ¼

p(¾9ppi7_]t9_o0D_pªÎ_q_]

-Æ+_1iYip]wqÂpN1

Á

0 _8

q-Ê ÑÆq+ipÑsr ä 3 0N¹

¼ æ

0tj#¹

¼ ¹äu

¼

_(*9__4_Æ+_ÑsrÂpN1

Á

0YpB

vw |GùP{l}|¾*±³²4/q+ip<>p_i/p/((À(]Â 1Ïµ

R

_(qih¾p]_>¦(

_BhNpiÑ_(lp]£h¦ iÑ_8Il]p]£9_Ñ_(u0 j ¹

¼

ó<ôÑõ|Iö÷Gø|Iù³|°+*Ç

¡x

_]t]1iY((t]NÀ ³_GG(

¥

(6)

þ £$ µ R T

I$ ]Âqq

R T þ z0 ã 3 RUV

_ /Nh<_]pN1¦ ipo

¯

]

©N _>©N ]tu6wµ RUT¯

0 j

¹

¼

¹6

¼ c jriÙ

{

lAm 0N¹

æ8|

6 ¼ 0®¹

¼

|

}~

.YDPQY

ã Zri[ 6wµ R T

v(ZXXÜ\ x

W/XAÜ\In^]ri[ j `¾vÃÜ\DMXr[]riZXv(\ j `¾v ri¾Ü\p^]\_XG[@rt`krjr[NÜ\áv \ 0 `u

ßZriXG[ àG\pXu[]rjrim `XG[ j\ò\Int[]\_uq^

| 6 ã

0N¹

æ8|

6 ¼ c 0®¹

¼

æB|

0 j ¹

¼

¹6

¼

æå|på

Ý 6 Ý 9 ¹| 6 ¼ c 0N¹

¼

æ8|

0 j ¹

¼

¹6

¼

æå|på 9 b ¹ | ¼

ZNñuYZX³`FßZm>Ü\ 9 b ¹| ¼ c Ý 6 Ý 9 ¹| 6 ¼ x

GlZÙÙ\ 9 b ¹ | ¼ 3 d

s_u+`Xlv

| 3 d

à>nt\Inr>riÙß jrtspu\kqri\pX³spu\

0 j

¹

¼

¹6

¼ c jriÙ

{

lAm 0N¹

æ8|

6 ¼ 0®¹

¼

|

ö÷(ö}}zf÷(|L*+*

þ

t' µ R T

I ( ]Âo¨qq

R T þ

50

ã 3 RUV

_(

Nh<_]_>1i¦(Ñ_B

¯

]

¯ 0 j ¹

¼

p(À(qi©>(I

}~

.YDPQY

ã O

Û`ßß jrtn_`[]riZX jrXÜ\I`r^]\ 0tj¹

¼

\pm][¸\_X½\®\_[U\pXI[]rñ\_^]\_Ù\pXI[<vÃÜ\_[]\_^]ÙrXÜ\p\ß+`^ j\_m

Ü

\(` jr[NÜ\_m¾v u[]ïÜ\pZ^pñ\_Ù\

xJ xÖ x

vw |GùP{l}|I~¤+*+/

É£Ê

ÑÆq+_B0 ã R g 3 R

piÑ©N(

ä c ä b

ä g f

0®¹

ä ¼ c ä b ä g

_(Nh<_]_>1i¦ iFp1qG9>e

c b

g µ R g

I]Ï_]t9_F_-

c b

g

_ >_Æq+ip

ip]Ñ

R g

qq

R

1_©>(

6 c 6 b

6 g f 0 j

¹

¼

¹6

¼ c g 6 b æ b 6 g c

¹

g b ¼ 6 b

6 g

Ë-Ê ÑÆ+_1i80

ã R g 3 R g

piÑ©N(

ä c ä b

ä g f

0®¹ ä ¼ c ä b æ ä g

ä b ä g

_(Nh<_]_>1i¦ iFp1qG9>e

c b

g µ R g

I]Ï_]t9_F_-

c b

g

_ >_Æq+ip

ip]Ñ

R g

qq

R g

1_©>(

6 c 6 b

6 g f 0 j

¹

¼

¹6

¼ c

¹6

b æ 6 g f b 6 g æ g 6 b ¼ c g b 6 b

6 g

(7)

}~

.YDPQY

ã É£Ê

Þ

XY\\_[(àGZXß\pu[Ü\In^]ri^]\wã

0®¹

æ 6 ¼ 0®¹

¼ g 6 b b 6 g c

¹

b æ 6 b ¼

¹

g æ 6 g ¼ b g g 6 b b 6 g c 6 b 6 g

\_[ÀZX³`ã

å6 b 6 g å

¹ å6 b åg

æå

6 g åg ¼ c Ý ¹6

b f 6 g ¼ Ý gg

Ë-Ê î \ j `FÙ\_Ù\L@`QntZX+àGZX \Int^]r[¾ãÜ

0N¹

æ 6 ¼ 0®¹

¼ 6 b æ 6 g

b 6 g æ g 6 b c

b æ 6 b æ g æ 6 g

¹

b æ 6 b ¼

¹

g æ 6 g ¼ b æ g

b g 6 b æ 6 g

b 6 g æ g 6 b c

d

6 b 6 g

\_[

d

6 b 6 g g ¹ å6 b åg

æå

6 g åg ¼ c Ý ¹6

b f 6 g ¼ Ý gg

Ñ÷(ö{4ö~Df+gfödS+*+> É£Ê úq1Yli_1_q(1>1Yp(Nh<_]pN1¦ i

¯

_]t9_

N ip³1q9N]

Ë-Ê

úq<li_1i i_i]:´ ã R T3 RUV

_(&qih¾p]_>¦(<_¨9> ä µ R T

I

]p]£9_Ñ_(l_Æq+ip1_]_q(1>1

¯ _Â

Á

Ñ´o

q-Ê

úq1+_1i¤sr_>>(p&+ ä µ R T f ¿ ä c æ ´ ä ¯ Á

µ RUV

I

´ µN·Ó¹

R T» RUV¼

_(>qih¾p]_>¦(:_qI4>

ä µ R T

GNh¾_]t9p:_ N_Æ+_o_]

_(1N1

¯ pÂ

Á

Ñ´w

} ~

.YDPQY

ã É£Ê \pm][Ü\_òGr£v \_XG[

Ë-Ê Zri[Àä µ R Tx

WUXLÜ\In^]ri[¾ã

´¾¹ ä æ 6 ¼ ´¾¹ ä ¼ c

´¾¹6

¼

î ÛZ>ñu ´.j#¹ ä ¼ c ´ ßZuq^À[]Zuq[Àä µ R T®x

q-Ê

mh\ov/Ü\_ÙZXI[]^]\wntZÙÙ\

Ë-Ê

x

a õ

|cbedYf+gDf1öQd +*++ª_I1I w

RUV

p4+ jriÙ

{

lAm 0N¹

æ8|

6 ¼ 0®¹

¼

|

©N q F_ÄGi â_(

q9__]t&p#0 ((t]NlopI1I(6+

W/X ß\_uq[Ïv ZXln¸riXG[]\_^]ß^>Ü\p[@\p^ j\<[]ïÜ\_Z^_ñ\_Ù\

xJ xÖ

\_X¨v(rm(`XG[Ïspu\<[]Zu[]\ALZX+nt[]rZX¨v(rN<Ü\_^]\_XG[]r£`k j\<\_X

`v Ù\_[¾v(\pm¾v/Ü\_^]riò:Ü\_\pmÀm]uqriò`XG[À[]Zuq[Àò\Int[]\_u^Ïv(\

R T®x

O

`F^NÜ\Intrßq^]ZNspu\wv(\on\_[][@\Ñß^]Zß^]rÜ\_[NÜ\Ñ\_m][1L]`uqm]m]\wã

(8)

vw |GùP{l}|°+*+ <Æli_180 ã R g 3 R

1_©>(

ä c ä b

ä g µ R g f

0®¹ ä ¼ c ä b åä g å

¹ ä gb æ ä gg ¼ bí]g

qIlpÀ_]£9_pÀ( £]>À1qÀ_I1I(_

dd

ÀÀÆp(q+Nh<_]_>1i¦ iÑ_Y_/9N]

}~

.YDPQY

ã Þ

XY\\p[àGZXYß\_u[Ü\In^]ri^]\wã

| µ R f 6 c 6 b

6 g µ R g f

0®¹

| 6 ¼ co|

6 b 6 g

¹6

gb æ 6 gg ¼

b#í]g co|

0N¹6

¼

î ZX+n

0®¹

| 6 ¼ 0®¹ d ¼

| c

0®¹6

¼

\_[ 0 `v Ù\_[À\_X

d

uXq\ov/Ü\p^]riò:Ü\_\Ñm]urò`XI[À[]Zu[Àò\In[@\pu^ 6wµ R g

spur>ò`u[ 0N¹6

¼ x

`^ÏntZXI[]^]\IàGmhr

0 Ü\_[(`r[¾v(rN<Ü\_^]\_XG[]r£`k

j

\Ñ\_X

d

àGr

j

\_ðGrimh[@\p^(`r[¾v(\puðw^NÜ\_\

j

mXZ[NÜ\_m

;

\_[1P[@\

j

mÏs_uq\

0 j ¹ d ¼

¹6

¼ c ¹ ; ¼ 6 b

6 g c ; 6 b æ 6 g

`rim àG\_Xß®Zm `XG[¾ntZÙÙ\w`uYß+`^(`)(^(`ßï\

a b c d

\_[

a g c d

vÛ`ßq^_ñ\_m j `v/Ü\_ÙZXm][]^(`[]riZXYß^NÜ\InÜ\Iv(\pXI[]\Ià

0 j ¹ d ¼ ¹ a b ¼ c ; c 0®¹

a b ¼ c d \_[ 0 j ¹ d ¼ ¹ a g ¼ c c 0N¹

a g ¼ c d

Gl\Intr4rÙß jr£spu\p^(`r[wspu\¤ßZu^Ñ[]Zu[ 6³µ

R g à 0®¹6

¼ c d n\°spur4X+Û\_mh[Ñß+`mÑòG^(`r

x 0 X+Û\_mh[wv(ZX+nß+`m

v(rN<Ü\_^]\_XG[]r£`k

j

\Ñ\_X

d x

Ñ÷(ö{4ö~Df+gfödÎ+*+

þ

P0op(®_]t]¦ Àp@Ïµ R T ¯

_ip(®(h]qqih¾_]_>¦(]¤]pF+_

ip¾]p¾

R T

G

RUV

+¾q_Ï]_ _©N £]_>1_¾G0cj#¹

¼

qoûÂÑ+¾]¾ÀÆ Å1_

]_F+__pN]

}~

.YDPQY

ã

j

mhu[áv(\¾^]\_Ù°`^(s_uq\_^áspu\Gà*ßl`^ávÃÜ\MqXr[]riZXªv(\

j

ÛÜ\Ispurò`

j

\_Xlnt\v(\_mFXZ^]Ù\_m(à

j `spu+`XG[@r[NÜ\ Ý 0N¹

æ 6 ¼ 0®¹

¼ 0tj#¹

¼ 6 Ý

Ý 6 Ý

\_m][Ù°`(Ú1Z^NÜ\_\á\p[ÙriXqZ^NÜ\_\áßl`^ÑuX\°ntZXmh[`XG[@\LZrm j `¾Ù\_Ù\\_ðGß^]\_m]mhriZX n_` j ntu j\_\°`]ò\GnÜ j\_mw`uq[]^]\_m

XZ^]Ù\_m

x

ó<ôÑõ|Iö÷Gø|Iù³|°+*

¡

ÈlF9h£1Y_w(w1]q]1

¥

þ ipNuáµ R T

Iu0 ã

3

(Ñ+_ÀÆ ³]Â5 #áq

R T ¯Á

°]I ]Àqq

RUV

þ £ ä m µ R T

Iu0

m

_Æli_1 ä m æ Á

°]iG(]Àq

RUV

piÑ©N(

ä µ ä m æ f 0 m ¹ä ¼ c

0®¹ ä °ä

m ¼

¡

]

¯

]e0 _(lqih¾_]_>¦(pB

¯ 0 m

_(lNh<_]pN1¦(_8

æ ä m

I

0 j

m

¹

æ ä m ¼ c 0 j

¹

¼

}~

.YDPQY

ã r 0 \pm][¾v(rN<Ü\_^]\pXI[]rt`k j\\_X àGZX \Int^]r[Ü

0 m

¹

æ ä m æ 6 ¼ 0 m

¹

æ ä m ¼ c 0®¹

æ 6 ¼ 0N¹

¼ c 0 j

¹

¼

¹6

¼ æ Ý 6 Ý 9

¹6

¼

`]ò\Gn 9 3 d s_ul`Xlv 6 3 d x

î ÛZ>ñu j `v ri¾Ü\_^]\_XG[@rt`krjri[NÜ\wv(\

0 m

\_X

æ ä m

\_[ j ÛÜ\(` jr[NÜ\ 0 j

m

¹

æ ä m ¼ c 0 j

¹

¼ x

(9)

ó<ôÑõ|Iö÷Gø|Iù³|°+*

¡

ÈlF9h£1Y_w(Ñ+_Yi_]

¥

þ

ipNÏµÿ Iu0

ã 3 RUV

(Ñli_1iY¸Æ(Î]Â# #q

R T ¯Á

°]I(hÀqq

RUV(¯

Nh<_]_>1i¦(Ñ_B

É£Ê

þ £µN·º¹

RUV » Rz¤ ¼t¯

£u¥0 _(l_]£h¦ iÑ_8I

¹£u¥0

¼ j

¹

¼ c

£u¥0

j

¹

¼

Ë-Ê

þ ¦YµN·º¹

Rz¤ » R T ¼

Gl]¦N¹ ¼ c ¯

0¥¦ _(l_]t]¦ iÑ_ I

¹0¥§¦

¼ j ¹ ¼ c 0 j

¹

¼

¥§¦

} ~

.YDPQY

ã

É£Ê

O

`F^]\ j `[]rZX

0®¹

æ 6 ¼ 0N¹

¼ 0 j

¹

¼

¹6

¼ c Ý 6 Ý 9 ¹6

¼

`]ò\Gn jrÙ

kl5m 9 ¹6

¼ c d

\_XG[]^(`riXq\oã

¹£u¥0

¼

¹

æ 6 ¼ ¹£u¥0

¼

¹

¼ ¹£u¥0

j

¹

¼]¼

¹6

¼ c Ý 6 Ý 9 b

¹6

¼

`]ò\Gn 9 b

¹6

¼ c

£u¥

9

¹6

¼

\_[¾v(ZX+n jrÙ

kDlAm 9 b

¹6

¼ c d

Ë-Ê WUXÎ`

¹0¥¦

¼ ¹

æ©¨

¼ c

0N¹

æ

¦N¹

¨

¼]¼

c

0®¹

¼ æ 0 j

¹

¼

¦N¹

¨ ¼ æ Ý ¦N¹

¨ ¼ Ý 9 ¹¦N¹

¨

¼@¼

c

¹0¥¦

¼ ¹ ¼ æ

¹0

j

¹

¼

¥§¦

¼ ¹ ¨ ¼ æ Ý ¨ Ý 9 g ¹ ¨ ¼

`]ò\GnwÝ 9 g ¹ ¨ ¼ Ý Ý 9 ¹§¦N¹

¨

¼]¼

Ý4Ý ¦ Ý 3 d spu+`X+v

¨ 3 d x

ö÷(ö}}zf÷(|7+*±

É£Ê

þ Y£ p(< ³ih1lû]o

R/V

qq¾t(Ô³Õ_

¯

i](q

_t1i ___h]i]7Gw(ªr¤]N1â9(P©N «0§htwqih¾_]_>¦(7_? _ w©>(4£u¥0§]£

Nh<_]_>1i¦(Ñ_B

Ë-Ê

þ $¦ _ Y Dih¤1lû]P

R/T

t(Ô³Õ_

¯

(qP_q£1D_p_]h]PI

(ªrh>1/9(©N 50 ]tlNh<_]_>1i¦(Ñ_Bp(l©N 50¥¦ ]£lqih¾_]_>¦(p¦¬

b

¹

¼

O

\¤v(\_uqð¤ß+`^][@r\_m<v(u½[]ïÜ\pZ^pñ\pÙ\

xJ x

ZXG[Ñv(\pmÑ`ßqß jr£n_`[]rZXmLZX+vq`Ù\pXI[(` j\pm(à®ntZÙÙ\pXntZXm¸ß+`^ j `

ß^]Zß^]rÜ\_[NÜ\

É£Ê

ã

a õ|cbedYf+gDf1öQd +*Ç þ £u0 ã !

RUT 3 R V

cZ&(¾1PXYµ¹ R V ¼£Ò(¯

-Æ+_1i

ä 3

0®I¹ ä ¼ c X 0N¹ä ¼ c

X¥0N¹ ä ¼

R T

R

_ lq9__ÑiÌ1qI1Y]_]i>_Ñ50&

¯ {l{l}f+° zgföd **

¡ þ _i]]1i

¥

þ £Y (ihiqÂ:±<

R T

GY0 ã 3 RUV

þ 0w_(Nqih¾p]_>¦(p@

¯

i]>9(1

XYµ¹ R/V ¼ Ò ¯

_Æli_1 ä 3 0 ® ¹ ä ¼

R T

qq

R

p(lNh<_]pN1¦ iÑ_8I

6wµ R T f

¹0®

¼ j

¹

¼

¹6

¼ c X 0 j

¹

¼

¹6

¼ c

X¥0

j

¹

¼

¹6

¼

} ~

.YDPQY

ã j m]u[ÎvqÛi`ßß jrtspu\_^ j\[]ïÜ\pZ^pñ\pÙ\

xJ x

ñ` j Û`ßqß jr£np`[]rZX jriXÜ\I`ri^]\ X¢µ

·º¹ RUV » R:¼

c ¹ RUV¼Òx

Þ

X7`ßß jrtspu+`XI[¤nt\Ï^NÜ\_m]u j[(`[`uðYò\In[@\pu^]m¤v(\ j `Ñk+`m]\Yn_`XqZXqr£spu\Yv \ RUV

àqZXâ[]^]Zuò\ j\YntZ^]Z jj `r^]\

m]urò`XI[(àGm]uq^ j\_m¾nZIZ^(v(ZXqXÜ\_\_mÏv(\

0 ã

(10)

ö÷(ö}}zf÷(|°+*1Q/ þ tu0 ã !

R T@3 RUV

Y_qtlipÀ_G]__#0Ïl#C

ä µ R T f

0N¹ä ¼ c 0 b ¹ä ¼ 0 g ¹ä ¼

ee

0 V ¹ä ¼

¡ ]Àhe0Yp(lNh<_]_>1i¦ iÑ_8

¯

9(ÏqP²

c f f_eeeif

¯

0³p(lNh<_]pN1¦ iÑ_8I

0 j

¹

¼ c

¹0 b ¼

j#¹

¼

¹0 g ¼

j#¹

¼

ee

¹0 V¼

j#¹

¼

}~

.YDPQY

ã Þ

XY\\p[¸mhr X \pm][ j\ ² ñ\_Ù\ò\Gnt[]\_u^¾v \kl`mh\Ià 0 ® c 0 ³ x

yw|Iù³z÷ª´¶µl|¶+*> LN__+]G©>( Å_ >p((t1 _ Îp]

¯

>Æp(

Á

q]·CÑh0³ _(

Nh<_]_>1i¦(Ñ_BF9 ¾1qP²

c f f_eeeif

¯

0Yp(lNh<_]pN1¦(_8I

0 j

¹

¼ c

¹0 b ¼

j#¹

¼

¹0 g ¼

j#¹

¼

ee

¹0 V¼

j#¹

¼

}~

.YDPQY

ã Þ

XY\\p[àGr j m]u[¾v \^]\_Ù°`^(spu\p^¾s_uq\

0 c 0 b a b æ 0 g a g æ

eiee

æ 0 V a V

\_[¾`ßß jrts_uq\_^ j\_mÏvÃÜ\MqXr[@rZXm

x

¸

n_`uqm]\7v(\7n\_mPv(\puð7^>Ü\pm]u j[(`[@m à4\_XºÜ\p[]u+v(rt`XI[Pnïl`s_u\ntZIZ^(v ZXqXÜ\_\pmPv(\ 0 m>Ü\_ß+`^NÜ\_Ù\pXI[(àÃZXÅm]\

^(`ÙYñ\pX\_^(`F[]ZuÚ1Zu^]m¾ñ`v \_m$LZX+nt[]rZXmÏñ`Fò` j\_uq^]m¾vq`Xqm R x

O

`Fß^]Zß^]rÜ\_[NÜ\ Ë-Ê v(u[]ïÜ\pZ^_ñ\_Ù\

xJ x

`³Ü\D(` j\_Ù\_XG[ÀuXq\ontZXqmNÜ\Ispu\_Xlnt\±L1ZX+v`Ù\pXI[(` j\wã

a õ|cbedYf+gDf1öQd +*1Q

þ

t0

ã

¹!

R Tº3 RUV

þ

£ µ», Z&(ª±¼

c f f_eeeif

« ¯

-Æ+_1iÏ+(1ipiq50 _8

¯

p(lÌI1ÀÆ o]]¦(>p_iÑ_q/l#C

| 3 0®¹

æ8|_a

è ¼

Í4Îp_]³_o_¾q1iq¾+³1ûp

Á

_=½¾¿ ¯

°_]t9poopI]wq+ip1³_

|oc d ¯

_(Ñ9__â_]t9_+(1_iâÀ0Å_Á

¯

]_ ª_I1I

a è

Iw]#0tj¹

¼ ¹ a è ¼ 1_]

0cj

è

¹

¼ c

0tj¹

¼ ¹ a è ¼

ÌI1q5iq]>¦1_>(I

Þ

X¢u[]rjrm(`XI[ j ` ntZÙßZm]r[@rZXSß+`^ j\_m `ßqß jr£np`[]rZXm jrXÜ\I`r^]\_m v(\

R

v`Xm R T

v/Ü\MXqri\pm7ß+`^

£ è ¹| ¼ c æ8|_a

è à j\[]ïÜ\_Z^pñ\pÙ\

xJ x

rÙß jr£spu\ j\Ñ^NÜ\_m]u j[`[Àm]uqriò`XG[¾ã

(11)

¯ {l{l}f+° zgföd°+* þ t0 ã R T3 R

p(Nh<_]_>1i¦(Ã_'

¯

_iÃG*p+_]t9__l __

((t]NÀ1(ip¾_GG(]Àq°¦(]Ñ_qi©>(

¯

qq_pll#C

0 j

è

¹

¼ c 0 j

¹

¼ ¹ a è ¼

yw|Iù³z÷ª´¶µl|D*1Q³ÈlN1]]__>Ñ_½_½+_½_G]q_pwqÀ0

¡

½¾i½)ÂÎI

½¾N½ÄÃ

¥]¯

N__+]G©N qpo1ûp

Á

pÀÆp(q+Ï_]CGÌ1qI1i80 Ñ-Æ_ÄG_F+½¾Å¸Æ_(

+Àqih¾p]_>¦(p d Àq_À_]t&p_ll(1__Àp_U9N]

O

ÛÜ\_[]u+v(\Yv \ j `½v(rN<Ü\_^]\pXI[]rt`kqrjr[NÜ\Yv \_m%L1ZXlnt[]riZXqm¤v(\Ïß jumhri\_uq^]mò`^]r£`k j\pmX\Ïm]\Ï^(`Ùñ\_Xq\Yv(ZX+nß+`m¤ñ`

nt\ jj\ov(\pm1L1ZXlnt[]riZXqm¾vÛuXq\ò`^]rt`k j\ x

243SÆ Ç ;M®BG;>JFK7BI6&CÈ4;C¸BÉ.È4K69Q:H@;>C¸BÉT§6&BIKH@M®;©Ê6&MNEu_FH;C:CF;/3

vw |GùP{l}|°+/B0 ã !

R 3 R

W/X¾^]\_[]^]Zuò\ j `:v/Ü\MXr[]rZX¾uqm]u\ jij\v(\ j `:v/Ü\_^]rò`kqrjr[NÜ\v \_meLZXlnt[]riZXmÀvqÛuqX\/ò`^]rt`k j\/^>Ü\p\ jj\ñ`4ò` j\_uq^]m

^NÜ\_\

jj

\_m

x

vw |GùP{l}|°+/±B0

ã

!

R 3 R V

(r

0

\_m][Yv(rN<Ü\_^]\_XG[]r£`k j\w\pX àm(`âvÃÜ\_^]rò:Ü\_\`uÎßZriXG[ à 0 j

¹

¼

\_m][ÏuX \Üj\pÙ\_XG[v(\Ü

·Ó¹

R » R V ¼ x>Þ

X

[@\p^]Ù\_m<v(\Ù°`[@^]rtnt\Gà j\pmâÜ\ j\pÙ\_XI[]m<v(\Ü ·º¹ R » RUV¼

m]ZXI[U^]\pß^NÜ\_mh\_XG[NÜ\pmUßl`^<v(\pmUÙ°`[]^]rtnt\_m w¬ àNn_Û\_m][Ññ`

v(r^]\ß+`^Ïv(\_mÙ°`[@^]rtnt\_mÏntZ j ZXX\wñ`

Ü\ j Ü\_Ù\pXI[]m

x

WUXß\pu[¾v(ZX+n j Ûrtv(\pXI[]rNM\_^¾ñ`FuqX \Üj\pÙ\_XI[¾v \Ü R V x

a õ|cbedYf+gDf1öQdS+/Ç

þ

%0 p(_Æ_©>(1i¸Æ( ]ál] G> q

R V ¯

9pi_]©0

j

¹

¼

pI1I(ÏÂpN

Á

_Æ]Ñ_8

ZmhZXm¾nZÙÙ\ß^>Ü\GnÜ\Iv \_ÙÙ\_XG[

0®¹

ä ¼ c 0 b ¹ ä ¼ 0 g ¹ ä ¼

ee

0 V ¹ ä ¼

î Ûi`ßq^_ñ\_m j\ntZ^]Z jj `ri^]\

xJ x

sy

àZX°[]^]Zuò\spu\¾ßZu^F[]Zuq[ ² c f f_eeeif

à j ` ²

ñ\pÙ\ntZGZ^(v ZXXÜ\_\v \

0cj#¹

¼

\pm][ j `vÃÜ\_^]rò:Ü\_\ov \ j ` ²

ñ\_Ù\wntZIZ^(v ZXqXÜ\_\

0 ³ v(\

0

\_X àNn\ospur>m(ÛÜ\In^]ri[À\pX+ntZ^]\oã

0 j

¹

¼ c

¹0 b ¼ j ¹

¼

¹0 g ¼

j#¹

¼

ee

¹0 V¼

j#¹

¼

vw

|GùP{l}|°+/+*B0 ã !

R T@3 R

(r

0

\pm][:v ri¾Ü\_^]\_XG[@rt`k j\À\_X à(m(`Ñv/Ü\p^]riò:Ü\_\¾`ußZriXG[ à 0 j

¹

¼

\_m][4uXÅÜ\ j\_Ù\pXI[Fv(\Ü

·º¹ RUT » R:¼

c ¹ RUT¼£Ò x

Þ

X³[]\_^]Ù\pm½v \oÙ°`[]^]rtnt\Ià j\_mÜ\ j\_Ù\pXI[]mv(\Ü ·º¹ R T» R:¼

m]ZXI[¾^]\_ß^>Ü\pm]\_XG[NÜ\_m¾ß+`^½v \_m¾Ù°`[@^]rtnt\pm ¬« à

n_Û\_m][¾ñ`v(r^]\Ñß+`^¾v(\pmÀÙ°`[]^]r£n\_m jrN(X\wñ`

« Ü\ j Ü\pÙ\_XG[@m

x

(12)

(Zri[

a b f a g

fpeieef

a T j `k+`m]\½np`XqZXrts_uq\½v(\

R Tx

¸ jZ^]m à*ßl`^áv/Ü\MXqri[]rZX j ` ¼ ñ\_Ù\½v/Ü\_^]ròÜ\_\¾ß+`^][]ri\ jj\

v(\

0

\_mh[Ü\(` j\wñ` j `Fòq` j\_uq^¾v(\ j `L1Z^]Ù\ jrXÜ\I`r^]\

0 j

¹

¼

m]uq^

a è x

WUX³`v ZXln j ÛÜ\(` jr[NÜ\oã

0 j

è

¹

¼ c 0 j

¹

¼ ¹ a è ¼

s_uqrNm ÛÜ\Gnt^]r[À\_X+nZ^]\wv`XmÏnt\wn_`m¾ã

0 j

¹

¼ c

¹0 jb

¹

¼ 0 j

g

¹

¼

eÐeÐe 0 j

T

¹

¼¼

a õ|cbedYf+gDf1öQd +/+/ +Ì]Ñi_]50tj#¹

¼

p(l9__ÑÂ]qipNlq50 _8

Ë \_ò\_XqZXqm¾`uÎn_`m1(¸Ü\_XÜ\_^(` j ã

a õ|cbedYf+gDf1öQdA+/>

þ

0

ã

º!

RUT 3 R V

_ Ãqih¾_]_>1i¦(áp

¯

]50 j ¹

¼

µÃ·º¹ RUT

f R V ¼

ÈlI]w+_1iÎip]op(À]tlN_]pNI_Ñ+(qo1]ip¾P¬«

Á

w³iÂq_¾G4«D_iq_

¯

q9__1]_Ì]_¦(_qq50 _8áGlI_5ÍÏÎ¹

¼

(Zri\pXI[ 0³

f ² j\_m°ntZGZ^(v(ZXXÜ\_\_m°v(\ j Û`ßß jrtn_`[@rZX 0 x ¸ jZ^]m(àÀvÛ`ß^_ñ\_m j\[]ïÜ\_Z^_ñ\_Ù\³v \

m(n_` j `^hrim(`[]rZX

xJ x J

àGZX³`ã

¹0

j

¹

¼]¼

³ c

¹0

³ ¼ j

¹

¼

Þ

X¢vÛ`u[]^]\_mâ[]\_^]Ù\pm(à j ` ²

rñ\pÙ\ ntZGZ^(v(ZXXÜ\_\ v(\ j ` v(rN<Ü\_^]\pXI[]r\ jj\Dv(\ 0 \_X \_m][ \(`Ü j\ ñ` j `

v(rN<Ü\_^]\_XG[]ri\ jij\ov \ 0³ \_X

x

î

Ûi`uq[@^]\Àßl`^][(àqvÛ`ßq^_ñ\_m

j

\¾ntZ^]Z

jij

`ri^h\

xJ x

sy à(mhr

a b f a g

fpeieef a T

\_mh[

j

`/kl`mh\¾n_`XZXrtspu\¾v(\

R T

àq`

j

Z^]m(à

ß+`^:v/Ü\DMXr[]rZX j ` ¼

rñ\_Ù\¾v/Ü\p^]riò:Ü\_\Àß+`^][]ri\ jij\¾v(\ 0cj#¹

¼

\_m][Ü\D(` j\¾ñ` j `Uò` j\_uq^:v(\ j Ûi`ßqß jr£np`[]rZX jrXÜ\I`r^]\

v(\

RUT

v`Xm

R V 0 j ¹

¼

m]uq^

a è

à>n_Û\_mh[¾ñ`v(r^]\

0 j

è

¹

¼ c 0 j

¹

¼ ¹ a è ¼

`[@^hr£ntr\ jj\_Ù\_XG[(à>nt\Intr>m Û\pðIß^]rÙ\Ñß+`^ j `F^]\ j `[@rZXmhurò`XG[]\oã

ÍÏÎ¹

¼ c

¹0

b

b ¼ j¹

¼

¹0

b

g ¼ j#¹

¼

eiee

¹0

b

T ¼ j#¹

¼

¹0

g

b ¼ j¹

¼

¹0

g

g ¼ j#¹

¼

eiee

¹0

g

T ¼ j#¹

¼

e e eiee e

e

¹0

V

b ¼ j#¹

¼

¹0

V

g ¼ j#¹

¼

eiee

¹0

V

T ¼ j#¹

¼

W/X¾ß\pu[À`uqm]m]r>v(r^]\s_uq\ j\_mÀntZ jZXqX\_mÀv \ ÍÐÎq¹

¼

m]ZXI[ j\_mÀv/Ü\p^]riò:Ü\_\_m&ß+`^][@r\ jj\_mÀv(\ 0 m]\ jZX j\_mlò\Int[]\_uq^]m

v(\ j `ákl`m]\n_`XZXrts_uq\âv \ R T

\_[½spu\ j\_m jrN(X\_mv(\ 0 m]ZXG[ j\pm½v/Ü\_^]rò:Ü\p\_mv(\_mntZGZ^(v(ZXXÜ\p\_mv(\ 0

v`Xm j `Fkl`mh\onp`XqZXrts_u\wv(\

RUV x

vw |GùP{l}|I~¤+/+ É£Ê ÑÆq+_B0

ã R g 3 R

piÑ©N(

ä c ä b

ä g f

0®¹

ä ¼ c ä b ä g

F9(À1]ipÌ]p¦(_qC

ÍÏÎ¹

¼ c

¹

g b ¼

(13)

Ë-Ê ÑÆ+_1i80 ã R g 3 R g

piÑ©N(

ä c ä b

ä g f

0®¹ ä ¼ c ä

blæ ä g

ä b ä g

F9(À1]ipÌ]p¦(_qC

ÍÐÎq¹

¼ c g b

} ~

.YDPQY

ã

É£Ê

Þ

XY\\_[(àGZXß\pu[Ü\In^]ri^]\wã

0 j

b

¹

¼ c g

\p[ 0 j

g

¹

¼ c b

Ë-Ê î \ j `FÙ\_Ù\L@`QntZX+àGZX \Int^]r[¾ãÜ

¹0

b

b ¼ j

¹

¼ c f

¹0

b

g ¼ j

¹

¼ c f

¹0 gb ¼ j

¹

¼ c g f

¹0

g

g ¼ j

¹

¼ c b

243SÑ 5ÁÒ;È4=;?¨Q:;DQFH]ªO;>K;C¸BIH69BIHEÃC

ó<ôÑõ|Iö÷Gø|Iù³| +>1 þ _>±¨µ R T

I± D]ÂB

R T þ _N±07IÓ7I Ä

ÌI1_q_Àq5

RUV

IuÔGPÕ¨G(Äw]_i]p(

¡

]

¯

]e0 IPÓYhNlNh<p]_N1¦(_ÀpB

¯

ÔQ0

æ

ÕÓ -Æ_(l ]]>I

¹ÔQ0

æ

ÕÓ

¼ j

¹

¼ c

ÔQ0

j

¹

¼ æ

ÕÓ

j

¹

¼

} ~

.YDPQY

ã `^ïÏÖGßZ[@ï>ñ\_m]\GàIZXÎ`

0N¹

æ 6 ¼ c 0®¹

¼ æ 0 j ¹

¼

¹6

¼ æ 9 b

¹6

¼ Ý 6 Ý°`]ò\In 9 b

¹6

¼ 3 d

s_ul`Xlv 6 3 d

Ó®¹

æ 6 ¼ c Ó®¹

¼ æ Ó j

¹

¼

¹6

¼ æ 9 g

¹6

¼ Ý 6 Ý `]ò\Gn 9 g

¹6

¼ 3 d spu+`X+v 6 3 d

î ÛZ>ñu

¹ÔQ0

æ

ÕÓ

¼

¹

æ 6 ¼ c

¹ÔQ0

æ

ÕÓ

¼

¹

¼ æ

ÔQ0

j

¹

¼

¹6

¼ æ

ÕÓ

j

¹

¼

¹6

¼ æ Ô 9 b

¹6

¼ Ý 6 Ý æ Õ 9 g

¹6

¼ Ý 6 Ý

Þ

X³ß®Zm `XI[ 9 ¹6

¼ c Ô 9 b

¹6

¼ æ Õ 9 g

¹6

¼

àNZX³òZri[s_uq\ 9 ¹6

¼ 3 d s_ul`Xlv 6 3 d \_[nt\Intr/ß^]Zuò\ j\

[@ïÜ\_Z^_ñ\_Ù\

x x x

(14)

ó<ôÑõ|Iö÷Gø|Iù³|P+>± þ _N½µ R T

Gz (7]Â¾q×w

R T þ _>z0(qÏÌG

_qÀq

Á

½]I ]Ã

R V

GtÓâ ÌG¤_qÀq(â]Â%Ø %0N¹

¼

qq

RUV(¯Á

°]I ]Àqq

Rz¤

¡ ]

¯

h0w_ NNh<_]pN1¦ i:p@¾IÓw_ NNh<_]pN1¦ i:p@0N¹

¼t¯

Ó¶¥0wp(Nqih¾p]_>¦(:_ <I

¹§Ó¥0

¼ j ¹

¼ c Ó j 0N¹

¼

¥0 j ¹

¼

} ~

.YDPQY

ã

`^ÏvÃÜ\MqXr[@rZX³v \

j

`v(rN<Ü\_^]\pXI[]rt`kqr

j

r[NÜ\ov(\

0

\_X àGZX³`ã

0N¹

æ 6 ¼ c 0®¹

¼ æ 0 j

¹

¼

¹6

¼ æ 9 b

¹6

¼ Ý 6 Ý°`]ò\In 9 b

¹6

¼ 3 d s_ul`Xlv 6 3 d

ZuY\_XlntZ^]\\_XYßZm(`XG[

¨ác 0 j ¹

¼

¹6

¼ æ 9 b

¹6

¼ Ý 6 Ý ¹ ¨

\_m][¾v(ZXln/uXYò\Int[]\_uq^¾v(\

R V ¼ à

0®¹

æ 6 ¼ c 0N¹

¼

æÙ¨

Þ

XÎ`ßß jrts_ul`XI[ j ÛïcÖGßZ[@ï>ñ\_m]\wv(\wv(rN<Ü\_^]\_XG[]r£`kr jri[NÜ\wv(\ Ó \_X 0®¹

¼

àGZXYß\_u[Ü\Gnt^]ri^h\oã

¹Ó¶¥0

¼

¹

æ 6 ¼ c Ó 0®¹

¼

æ©¨ c Ó 0®¹

¼ æ Ó j

0N¹

¼ ¹ ¨ ¼ æ 9 g ¹ ¨ ¼ Ý ¨ Ý

`]ò\Gn 9 g ¹ ¨ ¼ 3 d

s_ul`X+v

¨ 3 d

m]Zri[À\pX+ntZ^]\wã

¹Ó¶¥0

¼

¹

æ 6 ¼ c Ó 0®¹

¼ æ Ó j

0N¹

¼

¥0

j

¹

¼

¹6

¼ æ 9 b

¹6

¼ Ý 6 Ý ¼ æ 9 g ¹ ¨ ¼ Ý ¨ Ý c

¹Ó¶¥0

¼

¹

¼ æ Ó j

0®¹

¼

¥0

j

¹

¼

¹6

¼ æ 9 ¹6

¼ Ý 6 Ý

`]ò\Gn

9 ¹6

¼ Ý 6 Ý c Ó j

0N¹

¼ 9 b

¹6

¼ Ý 6 Ý æ 9 g ¹ ¨ ¼ Ý 0 j

¹

¼

¹6

¼ æ 9 b

¹6

¼ Ý 6

ÝÝ

î ÛZ>ñuDÝ 9 ¹6

¼ Ý Ý Ócj#¹0N¹

¼

Ý9Ý 9 b

¹6

¼ Ý æ Ý 9 g ¹ ¨ ¼

Ý4Ý 9 b

¹6

¼ Ý x

(r

6 3 d

à>` jZ^]m

¨ 3 d

\_[ 9 g ¹ ¨ ¼ 3 d

àG\p[Àß+`^Àm]uqri[]\Ià 9

¹6

¼ 3 d x

Gl\Intr>ß^]Zuqò\ j\[]ïÜ\_Z^_ñ\_Ù¤\

x x x

ö÷(ö}}zf÷(|P+>Ç þ t0(qÏli_1i¦(Ì@_GtÏ 5Ø

¯

qih¾p]_>¦(Ï]&©N

]>p]]I ¡ ]

¯

_¾9h> c 0®¹

¼ C

0 ¬ b j c 0 j 0 ¬ b ¹ ¼ ¬ b

¯

{l{l}f+° zgföd +>+*

þ

z0

ã

Ú!

R T3 RUV(¯

IeÓ

c

ØÛ!

RUV 3 Rz¤p¯

Á

p( ]Â

×½q

R T

GzØ 7]Âá0®¹

¼

q

RUV(¯

]â½½]_i1â( £]>á_>]á_

1]__ÜÌ@_¦ ippÀ#0 _B

¯

$ÓY_80®¹

¼

Il$Ó¶¥0 _BBC

ÍÐÝ

¥

Îq¹

¼ c

ÍÐÝ ¹0N¹

¼]¼

ÍÐÎq¹

¼

vw |GùP{l}|°+>+/

þ

tu0

ã R g 3 R g

_Æli_1Î1_iÑ©N

ä c ä b

ä g f

0®¹

ä ¼ c ä b æ ä g

ä b ä g

(15)

Il]tPÓ ã R g 3 R

_Æ+_1iÎpi©>(

ä c ä b

ä g f

Ó®¹

ä ¼ c ä b ä g

¡ ]

¯

Ó¶¥0 F9(À1]ipÌ]p¦(_qC

ÍÏÝ 0®¹

¼

ÍÐÎq¹

¼ c

¹

b g b æ g ¼ g b c ¹ b g æ gg b g æ gb ¼

W/XYòÜ\p^]riMq\ov(r^]\In[@\pÙ\_XG[¾s_u\ j Ûi`ßß jrtn_`[]rZX Ó¶¥0 à>v/Ü\MXqri\Ñß+`^

Ó¶¥0®¹

ä ¼ c ä b ä g ¹ ä b æ ä g ¼

`v Ù\_[ÀßZu^ÏvÃÜ\_^]rò:Ü\p\

Ó¶¥0

j

¹

¼

¹6

¼ c ¹ b g æ gg ¼ 6 b æ ¹ b g æ gb ¼ 6 g

243SÞ ßÀàPO;E4KÒ;¶T§;DQF;?o\ MNMNK*EÃH?G?G;T§;>C¸BI?áoHCFH?>3

a õ|cbedYf+gDf1öQd +

É£Ê

²47Ì1I1"0§_q7( _(-,

R T

_ wt1

Nh<_]_>1i¦(Ñ((%, ]>_p(lNh<_]pN1¦ iÑ_Îqq9>l#,

Ë-Ê Ì1I180cj ã , 3

·º¹ R T f

RUV¼

p(l9__p]£9_Ñ#0Y (,

q-Ê

þ `0°p(9Nh<_]_>1i¦ i¾((±, I9]+]o_]t9_'0tj9_(9_>>(< (±,¢°]¤©>(0

_(l_>1i:Õ(_>lNh<_]_>1i¦ iÑ((%, Y](]h>©N(#0 _(lq_]]#â

b

( ,

Ë

`ßß\

j

ZXmv \_uðÑ^>Ü\pm]u

j

[(`[]mn

j

`m]m]rtspu\_m&ßZu^

j

\_mÜLZX+n[@rZXmvÛuXq\/òq`^(`rk

j

\U^NÜ\_\

jj

\IàGñ`4ò`

j

\_uq^]ml^>Ü\p\

jj

\pmÀã

ó<ôÑõ|Iö÷Gø|Iù³|°+±

¡

úlûp

Á

pq

¥

þ £.0Å ¤ÌqI1iP_>1i>(¤ÀÆ Pi>1_(]i4ã

f

åä

¯¤Á

Î]I ]<

R¸¯

_]t]¦(¤(( ä f ãqI

pi©>(#0®¹

¼ c

0N¹ ¼ ¡

¼ c d

ó<ôÑõ|Iö÷Gø|Iù³|°+Ç

¡

úlûp

Á

pq_À_p]i]h__>1ÀqÀ]p]

¥

þ £0(qÀÌqI1ipN1N À¸Æ(¤i>1_(]i×ã

f

åä

¯¸Á

w]I(]Ã

R¸¯

_]t]¦(À( ä f ã' ¡ ]

¼ c

0cj#¹æ

¼ ¹ ¼

W/X\pX³vÃÜ\Iv ur[¸rÙÙÅÜ\Iv r£`[]\_Ù\pXI[ÀuX[]ïÜ\pZ^_ñ\_Ù\ov(\pm¾`n_nt^]Zrm]m]\pÙ\_XI[]m1MqXrmÀßZu^¾v(\pm1LZX+n[@rZX³vÛuXq\

ò`^]rt`k j\ò\Gnt[]Z^]r\ jj\Ià>ñ`Fò` j\pu^]mm(n_` j `r^]\_m

x

ó<ôÑõ|Iö÷Gø|Iù³|<+*

¡

ú+û_

Á

_Ã_+__]]]p_>+qi9(q_Ì1I1

Á

á]I ]h_i]_

¥

þ

£z07(¾li_1°qih¾p]_N1¦(<ÀÆ(°_(,

R T ¯<Á

]iG(]F

R þ

li¾]pÂ¤_N

ã f æ 6 ä !Á,

¯

i>pÄI(15ç<µ ä d f

ã1_>©>(C

0®¹

æ 6 ¼ 0N¹

¼ c 0 j

¹

æ

çs6

¼

¹6

¼

6Üã1_>©>(C

0®¹

æ 6 ¼ 0N¹

¼ c 0 j

¹æ

¼

¹6

¼

}~

.YDPQY

ãÐWUX `ßß jrts_uq\ j\Y[]ïÜ\_Z^_ñ\_Ù\Îv \_mâ`n_n^]Zrm]mh\_Ù\_XG[]m×MXqrim¤m n_` j `r^]\

x xÖ ñ` j `

LZX+nt[]rZX

¹ | ¼ c

0®¹

æ|

6 ¼ x

ãd f ä àáv/Ü\p^]riò`k j\ªm]uq^

ãd f ä \_[

j¹

| ¼ c 0tj#¹

æÙ|

6 ¼

¹6

¼ x j \pðIrm][]\ªv(ZX+n æµ ä f æ

6`ã [@\ j s_uq\

¹ ¼ ¹ d ¼ c

j#¹æ

¼

à:nt\ªs_ur

ß^]Zuò\ j\Ñ^NÜ\_m]u j[(`[

x

(16)

yw|Iù³z÷ª´¶µl| ++/YN_( £14+N_9p_>F_(FÌ Ä³]ÀÌ1I1è07p(

Á

]I(]¤°

_1lpo_I1]_>Ñ_hiY(]o_]I(]Ñ_Â

Á

é

W/X ß\_uq[³ñ`°ßl`^][]r^³v \ nt\_mY^NÜ\_mhu j[`[]mYZk[]\_Xr^ j\[]ïÜ\_Z^_ñ\_Ù\ v \_mÎ`npnt^]Zrm]m]\_Ù\pXI[]mMXqrimYßZu^ j\_m

LZX+nt[]rZXmÏñ`Fò` j \_uq^]mÀò\In[@Z^]r\ jj\_m¾ã

ó<ôÑõ|Iö÷Gø|Iù³|°++>

¡

úlûp

Á

pq_À_p]i]h__>1Àq

¥

þ £0¶ ªq+ip1 qih¾p]_>¦(ªq qp(, q

R T ¯ªÁ

]I(hq

RUV

þ

ã f æ 6 ä

!Á,

¯

BC

Ý

0®¹

æ 6 ¼ 0N¹

¼ Ý Ý 6 Ý m]uqß

êÐëFìîí

ê

í)ï kÏð

Ý 0 j ¹ ä ¼ Ý

}~

.YDPQY

ã(Zr[

¦°µP¹

RUV¼ ÒxtO

Û`ßß

j

rtn_`[]riZX

¦¥0

ã , 3 R

[@\

jij

\½s_uq\

¦¥0N¹ ä ¼ c

¦N¹0N¹

ä

¼@¼

\_m][ÃuqX\á`ßß jrtn_`[]riZXv(rN<Ü\p^]\_XI[]rt`k j\ ¹ vqÛi`ß^pñ\pm j\:[]ïÜ\_Z^_ñ\pÙ\

xJ x

É#Ê

¼

mhu^ , àñ`Àò` j\_uq^]m/^NÜ\_\ jj\pm

x

WUX

ß\_u[¾v ZXln°Ü\Gnt^]r^]\ovÛ`ß^pñ\pm

j

\[]ïÜ\pZ^pñ\pÙ\

x xÖ ã

¦¶¥0N¹

æ 6 ¼

¦¥0®¹

¼ c

¹¦¥0

¼ j

¹

æ

çñ6

¼

¹6

¼ c

¦¥0

j

¹

æ

çñ6

¼

¹6

¼

`]ò\Gn

çÑµ ä d f

ãG¹

spur/vÃÜ\pß\_X+vYv(\Ñò

¼ x î ÛZNñu

¦¥0

j

¹

æ

çs6

¼

¹6

¼ Ý ¦

Ý4Ý

0 j

¹

æ

çs6

¼

Ý9Ý

6 Ý Ý ¦ Ý9Ý

6

Ým]uß

Ý 0 j

¹

æ

çs6

¼ Ý å

çÑµ ä d f ã

vÛ`ßq^_ñ\_m j\pmÀ^(`ßß\ jmm]u^ j\pmÀXZ^]Ù\pm¾vÛ`ßß jrtnt[]rZXm jrXÜ\I`r^]\_m ¹ ßl`^(`Ä(^(`ßïq\

xÖ x¼ x

W/XY\_X³v/Ü\Iv(uqri[¾v ZX+nã

Ý 0®¹

æ 6 ¼ 0N¹

¼ Ý c

m]uß

å

¦¥0®¹

æ 6 ¼ ¦¥0N¹

¼

åå

Ý¦ Ý

Ý 6 Ým]uqß

Ý 0 j

¹

æ

çs6

¼ Ý å

çÑµ ä d f ã

\_[¾nt\Inr>ß^]Zuò\ j\Ñ[@ïÜ\_Z^_ñ\_Ù\

x x x

ö÷(ö}}zf÷(|°+ þ (_ÀÎÕp_ûG9û

Á

_]p

¯

É£Ê

þ

q´LµN·º¹ RUT

f R V ¼£¯

Ý

0®¹

æ 6 ¼ 0N¹

¼

´¾¹6

¼ Ý Ý 6

Ým]uqß

Ý 0 j ¹ä ¼ ´ Ý å ä µ ä f æ 6Üã

Ë-Ê

Ý

0N¹

æ 6 ¼ 0®¹

¼ 0 j

¹

¼

¹6

¼ Ý Ý 6

Ým]uqß

Ý 0 j ¹ä ¼ 0 j

¹

¼ Ý å ä µ ä f æ

6`ã

q-Ê

þ e,S_(lpq_ÄGGl]e0cj#¹ ä ¼ c d

9 ¾1 ä µÀ,

¯

i]%0Yp(l_ >Ñ( ,

Zuq^¾v/Ü\pÙZXG[]^]\_^ j `Fß^]Zßq^]rÜ\p[NÜ\

q-Ê

àGZXYu[]r jrm]\_^(` j ÛÜ\Ispurò` j\_Xlnt\Ñm]urò`XI[]\wã

,óòFôöõ¶÷ÄøÐùùòFúFò.ô òFõ¶ôöòFûtüýòFþ'òDùõ¶ô PücòFú ôÄõÿò.ûcùò.ü ùòtøÐü øÐùÐüýò ø ùÐùõsòFûtú tø ùõÿô õ ^òDô

Ðò#,

(17)

Ñ÷(ö{4ö~Df+gfödâ++ þ tQ0 (Uq+ip1¾Nh<_]pN1¦ iUÀ ¾_(P,A

R T ¯/Á

]I ]

R V þ

e0

j

p(l_>>(pB

¯

9(¾1(%6½G

¨ µ RUT

C

0N¹

æ 6 ¼ 0®¹

æ©¨

¼ c 0 j

¹

¼

¹6 ¨ ¼ æ Ý 6 ¨ Ý 9 ¹6 ¨ ¼

p 9 3 d

©N qB6

f ¨ 3 d

a õ|cbedYf+gDf1öQd ++

x

qÀ_Ñ_

¯

} ~

.YDPQY

ã(r j ÛZX vÃÜ\MqXr[ j `L1ZX+nt[]rZX 9 ¹6

f ¨ ¼

ß+`^ j `LZ^]Ù¾u j\<v \ j ÛÜ\_XZXlnÜ\Ià j\<ntZ^]Z jj `r^]\

x x

`ßqß jr£spuÜ\w`uðwßZriXG[]m

æ 6

\p[

æÙ¨

rÙß jrts_u\wã

Ý 9 ¹6

f ¨ ¼ Ý m]uqß

Ý 0 j

¹

æ 6 ¼ 0 j

¹

æÙ¨æ

ç¹6 ¨

¼]¼

Ý å

çÑµ ä d f ã

mhuß

Ý 0 j ¹ ä ¼ 0 j ¹

6Üã æ mhuß

Ý 0 j ¹§X

¼ 0 j ¹

¼ Ý å

XYµ ä æ 6 f

æÙ¨

ã

W/^Àmhr 6 f ¨ 3 d àGä

3

\_[ X 3 x

GlZÙÙ\Ñß+`^ÀïcÖIß®Z[]ï>ñ\pm]\Ià 0tj \_m][¾nZXI[]riXGu\Ñ\_X à j\_mÏv(\_uqðs_u+`XG[]ri[NÜ\_m

m]uß

Ý 0 j ¹ä ¼ 0 j

¹

6Üã

\_[Ym]uqß

Ý 0 j

¹X

¼ 0 j

¹

¼ Ý å

XYµ ä æ 6 f

æÙ¨

ã

[@\pX+v(\pXI[Àò\_^]m

d

àNn\ospur>rÙß jr£spu\Ñkr\_XÎs_uq\ 9 ¹6

f ¨ ¼ 3 d

s_ul`Xlv 6 f ¨ 3 d x

W/Xß\pu[Ù°`rXG[@\pX+`XI[¨Ü\_XqZXlnt\_^uX^NÜ\_m]u j[(`[%L1ZX+v`Ù\_XG[(` j \_[[@^pñ\pmß^(`[]r£spu\ámhu^ j\_m±LZXlnt[]riZXmov \

n j

`mhm]\

â b ã

ó<ôÑõ|Iö÷Gø|Iù³|+

þ

t0° ¸+_1iáNh<_]pN1¦ i¸q áq_(,L

R T ¯UÁ

o]I ]

RUV

¡ ]

¯

0_ Ã_N1:Õ _N/Nh<_]_>1i¦(á((5, h&IÃ]G(__>Ã]0I/_71

9i>uÏµ=,

¯

q_À_]t9p_ll(__ÀpN1N(p(

}~

.YDPQY

ã(r

0cj

\pðIrm][]\m]uq^

,

\_[U\pm][<ntZXI[]rXIuq\Ià rj \_X½\_mh[°Ü\pòIrtv(\_ÙÙ\pXI[<v(\Ùo\pÙ\ßZu^

j\pm 0tj

è x

Ë Ü\Inrißq^]ZNspu\_Ù\pXI[(àNm]ußqßZm]ZXm½spu\ j\_m 0cj

è

\_ðGrm][]\_XG[Ñ\p[ÑmhZr\_XG[½ntZXI[]rXIuq\_m<mhu^ , x Zu^<m]rÙß jrNM\_^(à

ß j `nZXm

XqZum¾vq`Xm j\wn_`mÀZ>ñu « c à j\on_`m$(¸Ü\pXÜ\_^(` j m(Û\_XÎvÃÜ\Gv(ur[Àm(`XmÏv(rN°ntu j[NÜ\ x

(Zri[ 6wµ R g x

WUXLÜ\In^]ri[¾ã

0N¹

æ 6 ¼ 0®¹

¼ c

0N¹

b&æ 6 b f

gæ 6 g ¼

0®¹

b f g ¼ c

0®¹

b æ 6 b f g æ 6 g ¼ 0N¹

b æ 6 b f g ¼ æ 0®¹

b æ 6 b f g ¼ 0N¹

b f g ¼

W/XÎ`àGßl`^¾vÃÜ\MqXr[@rZXÎv(\ j Û\_ðGrimh[@\pX+nt\wv(\

0cj

b ã

0®¹

b æ 6 b f g ¼ 0®¹

b f g ¼ c 0 j

b

¹

¼

¹6

b ¼ æ 9 b

¹6

¼ Ý 6 b Ý

`]ò\GnwÝ 9 b

¹6

¼ Ý 3 d

s_ul`X+v 6 3 d x

`^ j `Fßq^]ZßZmhri[]rZX

x x¢ àGZXÎ`ã

0N¹

b æ 6 b f g æ 6 g ¼ 0®¹

b æ 6 b f g ¼ c 0 j

g

¹

¼

¹6

g ¼ æ 9 g

¹6

¼ Ý 6 g Ý

`]ò\GnwÝ 9 g

¹6

¼ Ý

m]uß

ëFì

m êb ð Ý 0tj

g

¹

b æ 6 b f g æ çñ6

g ¼ 0tj

g

¹

b f g ¼ Ý x

`^ïÏÖGßZ[]ïNñ\_m]\Gà

0 j

g

\pm][¾ntZXI[]rXIuq\ov ZXln 9 b

¹6

¼ 3 d

spu+`X+v

6 3 d x

(18)

î ZX+n

0N¹

æ 6 ¼ 0®¹

¼ c 0 j

b

¹

¼

¹6

b ¼ æ 0 j

g

¹

¼

¹6

g ¼ æ Ý 6 b Ý 9 b

¹6

¼ æ Ý 6 g Ý 9 g

¹6

¼

¸

rXmhr 0 \pm][¾v(rN<Ü\_^]\_XG[]r£`k j\Ñ\_X \_[

0 j

¹

¼

¹6

¼ c 0 jb

¹

¼

¹6

b ¼ æ 0 j

g

¹

¼

¹6

g ¼

GlZÙÙ\wv(\Ñß j um(à

0 j

b

\_[

0 j

g

m]ZXG[¾ntZXI[]rXIuq\_m(àGrj \_X\pm][¾v(\ÑÙ\_Ù\wv(\

0 j x

243 ßÀàPO;E4KÒ;¶T§;DQF;?ÎØEÃC:MNBGHE4CF?¨H^T§8F=H@M®H@BI;>?

a õ|cbedYf+gDf1öQd

þ

tz0(q¾li_1âq

R ¬ R

R

â4_iÏÌGâiFli_t1

_qUl¤]pi1i=0N¹ä f X ¼ c d ¯

11<q+ipÓ ÀÆ ¸+(1

¿

R

qqá(¸l(1

R

pi©N

¯

]p(1]_N1

¿

¬

¯

]_«0®¹

Á

i]_

X c

Ó®¹ä ¼

W/XYß\_u[ÀÙ°`rXI[]\_Xl`XI[Ü\_XqZX+nt\p^ j\Ñ[]ïÜ\_Z^_ñ\_Ù\wv(\pm1LZXlnt[]riZXmrÙß jr£nri[]\_mÏã

ó<ôÑõ

|Iö÷Gø|Iù³|°+± þ £u0¨(qli_1iY¸Æ(Y_(u, q

R ¬ R¸¯Á

°]iG(]

R

þ ipN

f µ R ¬ R

1_:©N '0®¹

¯

©N

i_]t&_U+(1_i#0cj

g

¹

f

¼

c d

¡

]

¯

4_ÄG(1° ]Â

¿

@Y

R ¯

( ]Â@¢ q

R

IÑ ¤ÌG

_N1N ×Ó

¿

¯

Á

¿

]£

_©N £h_>1

Á

]_C X c

Ó®¹ä ¼

ó<ôÑõ|Iö÷Gø|Iù³|¨+Ç þ (<_<ûG91û

Á

_]pÑlPû_

Á

_8½Åé ¯

Nh<_]_>1i¦(Ñ_°¹

f ¼ µ ¿

¬B Il©>(50 j

g

¹

f ¼

_ À(Yih1lû]q

(¤

¡

]

¯

ÓYp(lNh<_]pN1¦ iÑ_8I

Ó j

¹

¼ c

¹0

j

g

¹

f

¼]¼

¬ b

¥0

jb

¹

f ¼

vw |GùP{l}|++*

w_]

Á

ä ¹ ä g æ X g ¼

¹X

g

oä

g ¼ c d

ZmhZXm

0N¹

ä f X ¼ c ä ¹ä g æ X g ¼

¹§X

g ä g ¼ x ¸ jZ^]m

0

\_m][¾v/Ü\_^]rò`k j\\_XY[]Zu[ÀßZriXG[¾v(\

R g

\_[¾ã

0 j

b ¹ ä f X ¼ c Ö ä g æ ä f 0 j

g ¹ä f X ¼ c ¹ ä

¼ X

î

\ß juqm(àGZX³`ã

0 jb ¹ä f X ¼ c

d

< ä c d Zuä

c Ö

0 j

g ¹ ä f X ¼ c d

< ä c Zu

X c d

Ë \_Ù°`^(spuZXm¾vqÛi`kZ^(vspu\ j ÛÜ\Is_ul`[@rZXä ¹ä g æ X g ¼ ¹§X

g ä g ¼ c X g ¹ ä@

¼ æ ä g ¹ ä æ ¼ c d XlÛi`

v(\mhZ juq[@rZX³spu\Ñm]rz

ä=

x

(19)

Þ

X[@Zu[ßZrXI[ ¹

f ¼

[@\ j spu\

c d à 0cj

g

¹

f

¼

c d \_[Fßl`^ j\Ï[]ïÜ\_Z^_ñ\pÙ\Yv(\_m%L1ZX+nt[]rZXqmriÙß jrtntr[]\_m(à

nt\_[][]\ntZuq^]k\¾\_mh[F^]\_ß^>Ü\pm]\_XG[NÜ\p\Iàl`u°òZrimhriXl`)(\Yv(uâßZriXG[

¹

f ¼

àqß+`^FuqX\ \Gs_ul`[]rZXÜ

X

c

¹ ä ¼ àl`]ò\In

v(\wn j `m]m]\ â b x

¸ ußZriXG[

¹ f d ¼ à 0 jb ¹ f d

¼

c d

\_[¸ß+`^

j

\[]ïÜ\_Z^_ñ\pÙ\¤v(\_m1LZX+n[@rZXm¸rÙß

j

rtntr[@\pm(àNnt\_[][]\¤ntZu^]k®\\_m][

^]\_ß^>Ü\pm]\_XG[NÜ\p\o`uYòZrm]rX+`)(\ov \ont\ÑßZrXI[Àß+`^ÀuqX\ªÜ\Ispu+`[@rZXä

c"!

¹§X

¼

àN`hò\Gn

!

v(\wn j `mhm]\ â b x

Þ X ¹ d f d ¼ à j

\[]ïÜ\pZ^_ñ\_Ù\ov \_m$LZX+nt[]rZXmÀrÙß

j

rtntr[]\_mÀXq\m Ûi`ßß

j

rtspu\ßl`m

x

Þ

X°v(\_mhm]rX+`XI[ j `ntZu^]k\GàZX nZXqm][(`[@\¾s_ulÛi`uáß®ZrXG[ ¹ d f d ¼

à(rj ß+`m]mh\<v(\puð½`^(nm:v(\¾ntZu^]k\_mFv(rm][]riXlnt[]m

v(ZX+nUZXYX\Ñß\_uq[Àß+`mÀ^]\_ßq^NÜ\_m]\pXI[]\_^Ïnt\_[][]\ontZuq^]k\ß+`^uX\ªÜ\Ispu+`[@rZXÎv(u[HÖGß\Ñß^NÜ\InÜ\Gv(\_XG[

x

243# $ E4BG6&BIH@E4CF?¨Q:H]ªO;>K;C¸BIH;==@;>?

î `Xm j `ªß^(`[]r£spu\GàßZuq^Åv(\_moLZX+n[@rZXm ñ`¨òq` j\_uq^]m³^NÜ\_\ jij\_m àZX u[]rjrm]\_^(`Av(\pm³XZ[(`[]riZXmÎ[]^_ñ\_m

m]u(s(\_m][]rò\_m(àáspuráZXI[

j

\¨[]^_ñ\_mÀ(^ `XlvÙÅÜ\_^]r[]\Dv \¨^NÜ\_mhuÙ\_^

j

\_mÀLZ^]Ù¾u

j

\pmv/Ü\pÙZXI[]^NÜ\_\_m v`Xm

j

\_m

ß+`^(`)(^(`ßqï\_mß^NÜ\InÜ\Iv(\pXI[]m

x

(r 0 \_mh[ÏuXq\L1ZX+nt[]rZXDv ri¾Ü\p^]\_XI[]rt`k j\v \ « ò`^]r£`k j\_máä

b f ä g

f_eeief

ä T à j `v(rN<Ü\_^]\_XG[]ri\ jij\Pv(\ 0 m]\_^(`

XZ[NÜ\_\%

0

\p[¸ZXÎvÃÜ\MqXr[¾` jZ^]m j `F^]\ j `[]rZXYm]uqriò`XG[@\wã

% 0N¹ä b f ä g

f_eeeif ä T ¼ c

0 jb ¹ä b f ä g

f_eeief ä T ¼

%_ä

b æ 0 j

g ¹ ä b f ä g

fpeieef ä T ¼

%_ä

g æ

eeie æ 0 j

T ¹ä b f ä g

f_eeeif ä T ¼

%-ä

T

Þ

XYß+`^][]rtntu jr\_^]m(àGm]r X 0N¹ä ¼ c d àGZX³`u^(`Fßl`^¾ntZXIò\pXI[]rZXÎã

% X c 0 j ¹ä ¼

%_ä

m]Zri[À\pX+ntZ^]\Ñm]r>ä µ R ã 0 j ¹ ä ¼ c % X

%_ä

Gl\_[][@\wntZXIò\pXI[]rZXÎv(\ÑXZ[(`[@rZXß\p^]Ù\_[¾v(\Ñ^]\_[]^]Zuò\_^¾v \_mÀ^pñ\D( j\pm¾v(\wv(rN<Ü\_^]\pXI[]rt`[]rZX³ã

&('ò üýò)Ðò *,+ò-^òDùõ Ðõ øÐù.ÐòFô0/øÐù÷Fõ øÐùô±÷öøÐþ1tøsô òFòFô32+

(r4

c

Ó®¹§X

¼

\_[ X c

0N¹ä ¼

à&Z>ñu 0 \_[ Ó m]ZXG[°v \_m×L1ZX+nt[]rZXmâv ri¾Ü\p^]\_XI[]rt`k j\_m(à j `PvÃÜ\_^]rò:Ü\p\Îv(\ Ó¶¥0

m(ÛZkq[@r\_XG[À\_XÎv(rN<Ü\_^]\pXI[]rt`XG[Àm]uln_nt\_mhm]rò\pÙ\_XG[ j\_mÏv(\puðw^]\ j `[@rZXmÏã

%54

c Ó j ¹X

¼ % X f % X c 0 j ¹ ä ¼

%-ä

\_[À\_XY^]\_ßZ^][(`XG[ j `Fò` j\pu^¾v(\6% X L1Zu^]Xr\Ñß+`^ j `v(\_uqðIrñ\_Ù\LZ^]Ù¾u j\wv`Xm j `Fßq^]\_Ùrñ\_^]\LZ^]Ù¾u j\wã

%54

c Ó j

¹X

¼ 0 j ¹ä ¼

%_ä

c Ó j 0N¹

ä ¼ 0 j ¹ ä ¼

%_ä

\_[ÀZX^]\p[@^]Zuò\w`riXqm]r j `L1Z^]Ù¾u j\ov ZXXÜ\p\o`u[]ïÜ\_Z^_ñ\_Ù\

x x x

&('ò üýò)Ðò *,+ò-^òDùõ Ðõ øÐù.ÐòFô0/øÐù÷Fõ øÐùô þ1Pü ÷ õÿòFô32