od pdwulfh vl glfh txdgudwd gl ruglqh ?1 Vh c 5 E

(1)

PDWULFL

Frqvlghuldpr o*lqvlhph

E? 6 '

wdehooh gl ?6 qxphul +uhdol r frpsohvvl, ruglqdwl lq ? uljkh h lq 6 frorqqh

' ipdwulfl d ? uljkh hg 6 frorqqhj

Udssuhvhqwldpr xqd pdwulfh frph xqd wdehood ghood irupd=

3 EE EC

@ @2 @6

@₂ @₂₂ @₂₆ 111 111 111 111

@_? @_?2 @_?6 4 FF FDc

od lqglfkldpr frq h vfulyldpr ' E@/ gryh @ ë lo jhqhulfr hohphqwr gl frqwudvvhjqdwr gd xq lqglfh gl uljd h xq lqglfh gl frorqqd 1 Vh 6 ' ?/

od pdwulfh vl glfh txdgudwd gl ruglqh ?1 Vh c 5 E? 6 h b 5 U/ vl srvvrqr ghqluh=

4, n ' 5 E? 6/ vrppdqgr jol hohphqwl qhoor vwhvvr srvwr S ' @n K

5, b 5 E? 6/ frq Eb ' b@1

Vh 5 E? 6 h 5 E6 ^/ vl ghqlvfh lo surgrwwr wud pdwulfl

' 5 E? ^

frq lo surgrwwr uljkh shu frorqqh= E_&/ flrë o*hohphqwr gl srvwr c &

ghood pdwulfh / ë lo surgrwwr vfdoduh ghood 0hvlpd uljd gl / E@@2@?/

shu od &0hvlpd frorqqd gl /

3 EC

K&

K6&111 4 FD=

(2)

E@@₂@_? 3 EC

K&

K6&111 4

FD ' @K_&n @₂K_2&n n @₆K_6&1

Lo jhqhulfr hohphqwr gl ë= S 'S

6 @6K61 Qrwldpr fkh h srvvrqr hvvhuh prowlsolfdwh wud orur vror vh

qxphur frorqqh gl @ qxphur uljkh gl 1

Gxh pdwulfl txdgudwh ghoor vwhvvr ruglqh vl srvvrqr vhpsuh prowlsolfduh1 HVHPSLR1

+2 2,

@ K S _

e s }

'

@e n K} @s n K

Se n _} Ss n _

1

RVVHUYD]LRQH +lpsruwdqwh$,1

Vh vl srvvrqr iduh vld fkh / lq jhqhudoh vl kd fkh 9' 1 Lqrowuh/ ' / gryh '

f f f f

/ qrq lpsolfd fkh r vldqr }hur=

f f f

f f

f

'

f f f f

1

Od pdwulfh wudvsrvwd ^|gl ë od pdwulfh rwwhqxwd gd vfdpeldqgr oh uljkh frq oh frorqqh1 Vh '

@ K S _

/ doorud ^| '

@ S K _

1 Lq jhqhudoh E^|_&' @&1

Sursulhwã lpphgldwh ghood pdwulfh wudvsrvwd=

4, E n ^|' ^|n ^|>

5, E^| ' ^|^|1 6, E^|^| '

Vh ' E@ ë xqd pdwulfh txdgudwd/ jol hohphqwl @c @₂₂c c @_?? frvwlwx0 lvfrqr od gldjrqdoh sulqflsdoh gl 1 Xqd pdwulfh vl glfh gldjrqdoh vh jol

(3)

Frqvlghuldpr pdwulfl txdgudwh +shu rud 2 2,1 Od pdwulfh frq wxwwl 4 vxood gldjrqdoh sulqflsdoh ë od pdwulfh lghqwlwã U '

f f

hg kd oh vwhvvh sursulhwã gho qxphur 4/ flrë U ' U ' 1

Vdssldpr fkh vh @ 5 U h @ 9' f/ srvvldpr ghqluh xq lqyhuvr @³ wdoh fkh

@@³ ' 1 Qho fdvr ghooh pdwulfl/ qrq edvwd fkh 9' shu srwhu ghqluh xqd

³ wdoh fkh ³ ' ³ ' U1 Vhuyh od qr}lrqh gl ghwhuplqdqwh ghood pdwulfh +_i| ,1 Qho fdvr 2 2/ vl kd

_i|

@ K S _

' @_ KS1

Vl yhgh vxelwr fkh _i| E ' _i| _i| 1 Vh _i| 9' f/ vl sxõ ghqluh

³=

vh '

@ K S _

/ vl kd ³ ' _i|

_ K

S @

1

Vl yhulfd lpphgldwdphqwh fkh ³ ' ³ ' U1 Sursulhwã ghoo*lqyhuvd= d, _i| ³ '

_i| >

e, E³³ ' >

f, E³ ' ³³>

g, E^|³ ' E³^|1

Vl qrwl dqfkh fkh _i| ^|' _i| 1

Shu oh pdwulfl ? ?c lo ghwhuplqdqwh vl ghqlvfh ulfruvlydphqwh qho vhjxhqwh prgr= vh

' 3 EE EC

@ @2 @?

@2 @22 @2?

111 111 111 111

@? @?2 @??

4 FF FD

doorud

_i| ' [? R'

E^Rn@R_i| ER

(4)

gryh R ë od vrwwrpdwulfh gl rwwhqxwd gd holplqdqgr od 4^@uljd h od R0hvlpd frorqqd1 Dqfkh txl _i| ^|' _i| h _i| ' _i| _i| 1

HVHPSL1

4, Frqvlghuldpr od pdwulfh 2 2

'

@ @2

@₂ @₂₂

1

Fdofroldpr _i| ' S²

R'E^Rn@_R_i| _R1 Vl kd= ' @₂₂/ ₂ ' @₂/ shu fxl

_i| ' E²@_i| n E@₂_i| ₂ ' @@₂₂ @₂@₂

+dqdorjd dood ghql}lrqh gdwd suhfhghqwhphqwh,1 5, Frqvlghuldpr od pdwulfh

' 3

C @ @2 @

@₂ @₂₂ @₂

@ @2 @

4 D1

Vl kd=

'

@22 @2

@2 @

/ 2'

@2 @2

@ @

/ '

@2 @22

@ @2

1

_i| ' @_i| @2_i| 2n @_i| 1

Irupxod jhqhudoh shu o*lqyhuvd= vld _R^ od vrwwrpdwulfh rwwhqxwd holpl0 qdqgr gd od R0hvlpd uljd h od ^0hvlpd frorqqd1 Vl ghqlvfh frpsohphqwr

@ ghoo*hohphqwr @ gl =

(5)

Doorud

E³'

_i| @ +qrwduh or vfdpelr= h qrq ,1

Dssolfd}lrqh do fdvr 221 Vh ' E@ ë od pdwulfh ghl frpsohphqwl/

od irupxod suhfhghqwh vl ulvfulyh ³ '

_i| ^|1 Doorud vh '

@ K S _

/ vl kd

@ ' _/ @₂₂ ' @/ @₂' S/ @₂' K/

shu fxl

'

@ @2

@₂ @₂₂

'

_ S

K @

/ ^|'

_ K

S @

/

txlqgl ³ ' _i|

_ K

S @

1 QRWD1

@ vhuyh dqfkh d fdofroduh lo ghwhuplqdqwh xvdqgr od uljd fkh ë slü frprgd +flrë txhood frq slü }hul,=

_i| 'S

@@ ë vfhowr gd qrl1 HVHPSLR1

' 3

C 2

f f f 2

4 D

Fdofroldpr lo ghwhuplqdqwh vfhjolhqgr od 6^@uljd/ ' 1

(6)

@' _i|

2

f

' 2/ @₂ ' _i|

2

f

' 2/

@' _i|

' f1 _i| 'S

@@ ' f E2 n f 2 n 2 f ' f1

Udqjr gl xqd pdwulfh1 Vld xqd pdwulfh ?61 Vl fkldpd plqruh gl xqd vrwwrpdwulfh txdgudwd frqwhqxwd lq 1 O*ruglqh gho plqruh ë o*ruglqh ghood vrwwrpdwulfh txdgudwd1

HVHPSLR1 Gdwd od pdwulfh

' 3

C f 2 f f f f

4 D/

l plqrul vrqr=

ruglqh 4= c fc 2c >

ruglqh 5=

f

/

2 f

/

f 2

f

/

f f

/

f f f

/

f f f

/

ff f

/

f 2 f f

/

2 f f

>

ruglqh 6=

3

C f 2 f f f f

4 D1

Vl glfh udqjr gl h vl lqglfd frq oE/ o*ruglqh +flrë lo qxphur gl uljkh h gl frorqqh, pdvvlpr ghl plqrul gl frq ghwhuplqdqwh 9' f1

HVHPSLR1

f f

kd udqjr 4>

2 2

kd udqjr 4>

f f

kd udqjr 5>

f f f f

kd udqjr 3>

f f f f

kd udqjr 5>

f

kd udqjr 51

(7)

Ryyldphqwh oE 9 4? i?c 6j1

Sursulhwã hvvhq}ldoh1 Lo udqjr gl ë lo qxphur pdvvlpr gl frorqqh olqhduphqwh lqglshqghqwl +r gl uljkh olqhduphqwh lqglshqghqwl/

shufkë oE ' oE^|,1 HVHPSLR1

' 3

C f 2 f f f f

4

D kd udqjr 5/ shufkë

3 C

f 4 D ' 2

3 C 2

ff 4 D n

3 C f

f 4 D1

Lqidwwl lo ghwhuplqdqwh ghood pdwulfh ë xjxdoh d }hur +yhulfduh, h lo plqruh

f

/ fkh kd ruglqh 2 kd ghwhuplqdqwh glyhuvr gd }hur1

Whruhpd1 Vld ' 1 Doorud vh ë lqyhuwleloh oE ' oE> vh h

vrqr lqyhuwlelol oE ' oE ' oE1

Qrwd}lrql pdwulfldol ghl yhwwrul h ghooh edvl1 +Frqyhq}lrqh gl Hlqvwhlq, Xqd pdwulfh sxõ dqfkh hvvhuh frvwlwxlwd gd rjjhwwl slü jhqhudol ghl qxphul uhdol/ edvwd fkh vxjol rjjhwwl vldqr ghqlwh rshud}lrql fkh gdqqr vhqvr d surgrwwl h vrpph> dg hvhpslr/ frqvlghuhuhpr pdwulfl gl qxphul frpsohvvl h dqfkh gl yhwwrul1

Frqvlghuldpr od edvh e ' E$e c $e 2c c $e ?/ lo yhwwruh $ h lo yhwwruh frorqqd ghooh frpsrqhqwl gl $ = '

3 EC

111?

4

FD1 Doorud $ ' S^?

'$e 1 Vl sxõ vfulyhuh

$ ' e

hg dqfkh/ shu lo surgrwwr vfdoduh=

$ $ ' ^| ' Ec c _? 3 EC

111?

4

FD ' n n _?_?1

od pdwulfh vl glfh txdgudwd gl ruglqh ?1 Vh c  5 E

od pdwulfh vl glfh txdgudwd gl ruglqh ?1 Vh c 5 E