• No results found

The variational iteration method for solving linear and nonlinear Schrodinger equations

N/A
N/A
Protected

Academic year: 2020

Share "The variational iteration method for solving linear and nonlinear Schrodinger equations"

Copied!
9
0
0

Loading.... (view fulltext now)

Full text

(1)

! #"$% '&()+*,))- .

+))- ./10 2! ()+*3 4657+&8

9+:<;>=@?BACEDFGIH!=@JKML':<LON>CPJC

QSRUT

NSN>V-N@WLM=YX TZB[

=YX\C RB]B^_)`

=@JOa(JCcb ZB`]

CcX)deN@W QSR

C

Z

J

RBZ

=@JKOf ZBRUT

JN>VPN>g@d

^

h+= `[ =@i ^ f ZBT` =@J'jlk>m@n>n ^_)` =@J

o1pqsrstUuwvxr

y{z|}w~€Y‚x@ƒs„…w|}wƒ3†U‚x„~€‚U|~‡$zY‚xˆS~|ƒs„‰‚U|~‡$z‹ŠŒƒ|}w‡l‹Ž-}w~€‰}w„‡$@‡Bƒ+‘“’‹”$~•{–—Y‚xz

–ƒ˜~€<‚xwwˆ~ƒŒ|‡‡$ˆ†$ƒ‘@‡x|}1ˆ~zwƒ‚x„‚xzY!zw‡$zwˆ~zwƒ‚x„6™l‰}w„‡ll~zwš$ƒs„›ƒœB—Y‚U|~‡$zYsž6}wƒ

Š!‚x~zŸw„‡$@ƒs„| ’‡x¡<|}wƒ!ŠŒƒ|}w‡lI~€~zŸ~|‰¢Yƒ£l~‘w~ˆ~| ’I‚xzYI‚x‘w~ˆ~| ’‹|‡‹‡$ˆ†$ƒˆ~zwƒ‚x„

‚xzY‹zw‡$zwˆ~zwƒ‚x„˜ƒœB—Y‚U|~‡$zY˜‚$s—w„‰‚U|ƒsˆ’‚xzY‡$z“†$ƒszw~ƒszB|ˆ’$˜y{z|}w~€˜ŠŒƒ|}w‡l…š$ƒszl•

ƒs„‰‚xˆ¤S‚xš$„‰‚xzwš$ƒŠ3—wˆ|~wˆ~ƒs„‰-‚x„ƒ~zB|„‡ll—Yƒ1|‡!‡$zY |„—Y)|-‡$„„ƒ)|~‡$z!¡¥—wzY)|~‡$zY‚xˆ€

|‡(|}wƒ!w„‡$‘wˆƒsŠ!sž6}wƒŒŠ3—wˆ|~wˆ~ƒs„‰~zŸ|}wƒ¡¥—wzY)|~‡$zY‚xˆ€s‚xzI‘@ƒ!~€lƒszB|~¦YƒI‡$l|~•

Š!‚xˆˆ’†“~€‚1|}wƒŒ†U‚x„~€‚U|~‡$zY‚xˆ2|}wƒs‡$„’$%§—wŠŒƒs„~€s‚xˆ„ƒ—wˆ|‰}w‡Uލ|}Y‚U||}w~€ŠŒƒ|}w‡l

s‚xz+„ƒ‚$l~ˆ’!‘@ƒ~ŠŒwˆƒsŠŒƒszB|ƒ+Ž-~|}ƒ£wƒsˆˆƒszB|‚$s—w„‰‚$’Œ|‡Œˆ~zwƒ‚x„‚xzY(zw‡$zwˆ~zwƒ‚x„

™l‰}w„‡ll~zwš$ƒs„2ƒœB—Y‚U|~‡$zYsž6}w~€2|ƒ‰}wzw~€œB—wƒ6s‚xz‘@ƒƒ£“|ƒszYlƒ|‡˜}w~š$}wƒs„l~ŠŒƒszY~‡$zY

ˆ~zwƒ‚x„-‚xzY+zw‡$zwˆ~zwƒ‚x„™l‰}w„‡ll~zwš$ƒs„-ƒœB—Y‚U|~‡$zYŽ-~|}w‡$—l|˜‚!ƒs„~‡$—Y6l~©1—wˆ|~ƒs

ª‹«B¬­3® tU¯qŸuw°¯²±³StUuwq « q$´+µ ƒszwƒs„‰‚xˆ¤S‚xš$„‰‚xzwš$ƒ!Š3—wˆ|~wˆ~ƒs„‰s…ˆ~zwƒ‚x„Œ‚xzY¶zw‡$zl•

ˆ~zwƒ‚x„™l‰}w„‡ll~zwš$ƒs„-ƒœB—Y‚U|~‡$zYs…“†U‚x„~€‚U|~‡$zY‚xˆ>~|ƒs„‰‚U|~‡$z+ŠŒƒ|}w‡l

o(·²¸¹¸2ºSp»

«

vxr+¼3½cuwqq¾¥¿v$ulr¾

®

°ÁÀYÂ@Â@Â2´Ã

„~Š!‚x„’‹Ä$ÄÅÆxÇYÈw™“ƒ‡$zYw‚x„’1ÉxÇBʘÉxÇY

æ ç2èéêë1ìíîéïëè

ð%ñòó“ô“õsö¥ô“÷ö×øwù2ôlú@ö×÷)òUõsô“÷ö×øwùû‹òU÷ñø>ü¶ýPþÿô Sõ)÷2õøø)òxüwö2ôlù3òö¥ù

!"#$

ôlù2ü%&')÷)òxûô“÷ö)(Uôlú¥ú*¶ö¥ú¥ú)+)÷)õsô“÷)òxü ö¥ù, $.-/

ö¥ù+(\ò1÷ñòxù

"

ö×÷3ñ2ô0òUòxù%1+(2(\ò1

3

Ð4‰Õ4‰Ö564)Ï7ޘˌÌ18 ÕÎ1Üsààá9“Ð45xÖÍ:4)Ï7Üsã<;=?>@=BÍEÓÜsààá

A

(2)

Z2ú¥ú* ô[+Sú¥ö×òxü ÷)ø ó“ô“õsö×ø+òxù]\wö¥ùòUòUõsö¥ù]\^2õøSú×òxû_ `

"

!a$.-ð%ñ2ö)Œû‹òU÷ñø>üeö)òxûbSú×øalòxü

ö¥ù

$

÷)øb)øwú×ólò!÷ñòdc1ú×òxö¥ù'eølõsüøwùŸòf2ô“÷ö×øwù^3ñ2ö)(sñö)÷ñò!õòxú¥ô“÷ö×ó>ö))÷ö)(%ólòUõö×øwùø

Z

÷ñò

/

(sñõø>ü2ö¥ù]\lòUõ˜òf2ô“÷ö×øwù

"

3ñ2ö)(sñŸö)M+)òxüI÷)ø‹üò1(\õsö*òg&Sö¥ù2ú×ò1hSô“õ÷ö)(Uú×ò -ji

+Sú¥ö)(Uô“÷ö×øwùø

Z

3òk3ó“ô“õsö¥ô“÷ö×øwù2ôlú›ö×÷)òUõsô“÷ö×øwù¶÷)ò(sñ2ù2ö)fò1÷)øŸôlù ö¥ùYólòUõ)òlSô“õsô[øwú¥ö)(2õøSú×òxû ö)%üò1(\õsö*òxü

ö¥ù H

$.-ÿ‰ù ma$

÷ñò!þÿ ö)òxûbSú×øalòxü¶÷)ø)øwú×ólò!÷ñò1÷ö¥û‹ò!üò2òxù2üòxùY÷õòxô(\÷ö×øwù'ü2öno+ö×øwù

òf2ô“÷ö×øwùp3ñ2ö)(sñMñ2ô&ò(Uö¥ôlúö¥ûbølõ÷ôlù+(\òŸö¥ùOòxù]\wö¥ùòUòUõsö¥ù]\ ôlù2üp1(Uö×òxù+(\òôlù2üp(\øwù+)÷ö

÷1÷)ò‹ôq\lø@ø>ü¨û‹ø>üòxú

Z

ølõûôlùJr&')÷)òxû_‹ö¥ùOó“ô“õsö×ø+Sòxú¥ü+

-ð%ñ2ö)1÷)ò(sñ2ù2ö)fò¶ö)+ôlú))ø

òxûbSú×øalòxü ö¥ù `

$

÷)ør)øwú×ólò÷ñòtsøuulòUõ&v˜ú¥ôlù+(1u òf2ô“÷ö×øwù ôlù2ü ö¥ù I

$

÷)ø,)øwú×ólò ôwSö×ø[

ú×ø\wö)(Uôlú<øX2ú¥ô“÷ö×øwù û‹ø>üòxú

-sølõŸû‹ølõò ô[+Sú¥ö)(Uô“÷ö×øwù ø

Z

÷ñò û‹òU÷ñø>ü

"

÷ñò ö¥ùY÷)òUõò)÷)òxü

õòxôlüòUõö)1õò ZòUõõòxüÁ÷)ø

"

#J"

"m

$.-ð%ñòþÿ

"

ma$

ö)(ôtøaòUõ Z2ú÷)ø@øwú÷)øw)òxô“õ(sñ

Z

ølõ3ô[+2õøxö¥ûô“÷)òd)øwú)÷ö×øwù+ø

Z

ú¥ö¥ùòxô“õôlù2ü¶ùøwù2ú¥ö¥ùòxô“õòf2ô“÷ö×øwù+<3ö×÷ñø÷õòf2ö×õòxû‹òxùY÷

ø Z ú¥ö¥ùòxô“õsö*yxô“÷ö×øwù ølõdòUõ÷1õ1Sô“÷ö×øwù -di

ùøl÷ñòUõ!ö¥ûbølõ÷ôlùY÷Œôlüó“ôlùY÷ô[\lòIö)÷ñ2ô“÷Œ÷ñòþÿ

ö)g(Uô[Sô[Sú×ò1ø

Z

\lõòxô“÷ú*¶õòxü++(Uö¥ù]\‹÷ñòö*yUò1ø

Z

(Uôlú)(22ú¥ô“÷ö×øwùt3ñ2ö¥ú×òd)÷ö¥ú¥úûôlö¥ùY÷ôlö¥ù2ö¥ù]\ñ2ö*\wñ

ô(2(2õsô(6 ø

Z

÷ñòù2û‹òUõsö)(Uôlú )øwú)÷ö×øwù

-ølõòUø$ólòUõ

"

÷ñòøaòUõ!ø

Z

÷ñò‹û‹òU÷ñø>üw\wö×ólò!ô

3ö¥üòUõ+ô[+Sú¥ö)(Uô[Sö¥ú¥ö×÷¹ö¥ùOñ2ôlù2ü2ú¥ö¥ù]\ ô ñ]\lòù2ûòUõ(ø Z ôlù2ôlú*@÷ö)(Uôlúôlù2üMù2û‹òUõsö)(Uôlú˜ô[]

Sú¥ö)(Uô“÷ö×øwù+

-ð%ñò%(\øwùYólòUõ1\lòxù+(\ò ø

Z

3òkó“ô“õsö¥ô“÷ö×øwù2ôlú3ö×÷)òUõsô“÷ö×ólò û‹òU÷ñø>ü'ö)Iö¥ùYólò)÷ö*\wô“÷)òxü

ö¥ù

m[z?$.-3òUõò

"

òô[+Sú*eþÿ ÷)ø øwùòôlù2üO÷øeü2ö¥û‹òxù+ö×øwù2ôlúú¥ö¥ùòxô“õ+ôlù2üMùøwù2ú¥ö¥ùòxô“õ

/

(sñõø>ü2ö¥ù]\lòUõŒòf2ô“÷ö×øwù+

-ð%ñ2ö)Sô[òUõ!ö)Œølõ1\wôlù2ö*yUòxüÁô

Z

øwú¥ú×øag2{Œÿ‰ù

/

ò(\÷ö×øwù m"

òö¥ù'

÷)õø>ü++(\ò(÷ñò+û‹ø>üòxú›ø Z ÷ñò2õøSú×òxû_

-ÿ‰ù

/

ò(\÷ö×øwù I

"

Sõ)÷gò+üò1(\õsö*ò1þÿ#û‹òU÷ñø>ü

ôlù2üŸ÷ñòxù^ò!ô[+Sú*‹þÿö¥ùŸôü2ö×õò(\÷ûôlù2ùòUõ÷)øò)÷ô[Sú¥ö)ñIò6xô(\÷0)øwú)÷ö×øwù+

Z

ølõú¥ö¥ùòxô“õ

ôlù2ü¨ùøwù2ú¥ö¥ùòxô“õ

/

(sñõø>ü2ö¥ù]\lòUõ+òf2ô“÷ö×øwù+

-ÿ‰ù

/

ò(\÷ö×øwù H

"

ò üò1(\õsö*òI÷ñò ù2û‹òUõsö)(Uôlú

)øwú)÷ö×øwù ø

Z

ú¥ö¥ùòxô“õ3ôlù2ü ùøwù2ú¥ö¥ùòxô“õ

/

(sñõø>ü2ö¥ù]\lòUõ%òf2ô“÷ö×øwù+%÷)ø|ñøa4÷ñòøaòUõø

Z

÷ñò

û‹òU÷ñø>ü ö¥ù¶ô_2ù2öSòxüûôlù2ùòUõ<3ö×÷ñø÷õòf2ö×õsö¥ù]\ôlùJôlü2ü2ö×÷ö×øwù2ôlúõò)÷)õsö)(\÷ö×øwù

-} ~€ƒ‚ë1ìbM„ ëg…¹éoƒ†êë‡b„1M‚

ÿ‰ù¶÷ñ2ö)ˆSô[òUõ

"

÷ñò1ú¥ö¥ùòxô“õ

/

(sñõø>ü2ö¥ù]\lòUõòf2ô“÷ö×øwù ö)<(\øwù+ö¥üòUõòxü¶ô Zøwú¥ú×øag2{

‰+Š

‰+‹ ýŒŽ

‹

r ‰X‘2Š

‰ Œ ýŒŽ

‹

“’

z

Ž

Š

ýŒŽ

z

M’•”-ýŒoŽqŒ%–t—<Ž ‹™˜ z

Žq

‘

(3)

œ'ž0Ÿ ž ž  Ÿ

ôlù2ü©ò(\øwù+ö¥üòUõ÷ñò(ùøwù2ú¥ö¥ùòxô“õ

/

(sñõø>ü2ö¥ù]\lòUõòf2ô“÷ö×øwù¶ø Z ÷ñò Zølõsû



‰+Š

‰+‹

ýª%Ž ‹ M’›š

m

ý

‰X‘6Š

‰ Œ

‘

ýª%Ž ‹  ‰X‘@Š

‰+«

‘

ýª%Ž ‹ &­¬ˆ®Š ®

‘

Š Žqª¯–t—

‘

Ž ‹™˜

z

Ž ý

m

3ñòUõòdª°’ ýŒŽ «

"

®Š ®‘ ’ Š Š

"

ôlù2ü©¬Oö)ô‹õòxôlú(\øwù+)÷ôlùY÷

-± ²´³<µïî ïìb“³<µëg…,¶·g¸.µ›¹<³ê›ï1³éïëè³0„¹ï‰éOêo³éïë躂°6éoë1ì

ÿ‰ù ÷ñ2ö)W)ò(\÷ö×øwù

"

÷ñò‹ô[+Sú¥ö)(Uô“÷ö×øwù ø Z ÷ñòþÿ ö)Œü2ö)1(2+1)òxü Zølõ!ú¥ö¥ùòxô“õŒôlù2ü¹ùøwù2ú¥ö¥ùòxô“õ

/

(sñõø>ü2ö¥ù]\lòUõòf2ô“÷ö×øwù+ -™»

øwù+ö¥üòUõsö¥ù]\+÷ñò

Z

øwú¥ú×øa3ö¥ù]\\lòxùòUõsôlú<ü2önòUõòxùY÷ö¥ôlúòf2ô“÷ö×øwùo{

¼

Š

ýŒŽ

‹

p½

Š

ýŒŽ

‹

p¾

Š

ýŒŽ

‹

M’À¿ýŒŽ

‹

Ž ý I

3ñòUõò ¼ ö)3ôSõ)÷%ølõsüòUõgSô“õ÷ö¥ôlú›ü2önòUõòxùY÷ö¥ôlúøòUõsô“÷)ølõ

"

½ ö)%ôIú¥ö¥ùòxô“õ%øòUõsô“÷)ølõ

"

¾ ö)

ô+ùøwù2ú¥ö¥ùòxô“õøòUõsô“÷)ølõôlù2üb¿ýŒŽ ‹ ˜ö)ôlu>ùøa3ùŸôlù2ôlú*@÷ö)(Uôlú Z2ù+(\÷ö×øwù -ji

(2(\ølõsü2ö¥ù]\(÷)ø+÷ñò

þÿ Á£

z?$."

òl(Uôlù%(\øwù+)÷)õ+(\÷%÷ñò

Z

øwú¥ú×øa3ö¥ù]\b(\ølõõò(\÷ö×øwù

Z

2ù+(\÷ö×øwù2ôlú:{

ŠjÂÃÄ

ýŒŽ

‹

“’ ŠjÂ

ýŒŽ

‹

%ÅpÆ

ÇrÈ ý¼

ŠjÂ

ýÉJ©½ËÊ ŠjÂ

ýÉJJ©¾ÌÊ ŠjÂ

ýÉJ'š_¿ýÉJ&¤ÍÉ Ž&Î ˜ z

Ž+ý H

3ñòUõò

È

ö)ô0\lòxùòUõsôlú'Ï<ô[\lõsôlù]\lòû2ú×÷ö*Sú¥ö×òUõ H $."

3ñ2ö)(sññø2ú¥üdòö¥üòxùY÷öSòxü1ø2÷ö¥ûôlú¥ú*

ó>ö¥ô¶÷ñò‹ó“ô“õsö¥ô“÷ö×øwù2ôlú-÷ñòUølõ1

H

$."

÷ñò_1]X1(\õsö*2÷WÎ üòxùøl÷)ò1÷ñò_Î÷ñÁô[+2õøxö¥ûô“÷ö×øwù

"

ôlù2üÐÊ Š™Â

ö)g(\øwù+ö¥üòUõòxü ôôIõò)÷)õsö)(\÷)òxü ó“ô“õsö¥ô“÷ö×øwù !"#J"

$

ôlù2ü I

$

ö

-òÑÊ ŠjÂ

’

z%-gÒ

ò

Sõ)÷üòU÷)òUõsûö¥ùò¶÷ñòtÏ<ô[\lõsôlù]\lò û2ú×÷ö*Sú¥ö×òUõ

È

÷ñ2ô“÷_3ö¥ú¥ú™ò ö¥üòxùY÷öSòxüMø2÷ö¥ûôlú¥ú*Oó>ö¥ô

ö¥ùY÷)ò2\lõsô“÷ö×øwùÓrSô“õ÷1

-ð%ñò©1+(2(\ò1ö×ólò¶ô[+2õøxö¥ûô“÷ö×øwù+ ŠjÂÃÄ

ýŒŽ

‹

Ž&Î ˜ z

ø

Z

÷ñò

)øwú)÷ö×øwù Š ýŒŽ ‹ 3ö¥ú¥úMòõòxôlü2ö¥ú*Áø2÷ôlö¥ùòxüÓ+ö¥ù]\ ÷ñò üòUõsö×ólòxüpÏ<ô[\lõsôlù]\lò û2ú×÷ö*Sú¥ö×òUõ

ôlù2ürr+ö¥ù]\ ôlùJr)òxú×ò(\÷ö×ólò

Z

2ù+(\÷ö×øwù

Š

Ç

-ð%ñòŸö¥ù2ö×÷ö¥ôlú6ó“ôlú)ò

Š

ýŒŽ

z

+ôlù2ü

Š

Æ

ýŒŽ

z

ô“õòl+12ôlú¥ú*_+)òxü Zølõ0)òxú×ò(\÷ö¥ù]\÷ñòdyUòUõøl÷ñ¶ô[+2õøxö¥ûô“÷ö×øwù Š

Ç

-“Ò

ö×÷ñ

È

üòU÷)òUõsûö¥ùòxü

"

)òUólòUõsôlúŒô[+2õøxö¥ûô“÷ö×øwù ŠÔ

ýŒŽ

z

ŽtÕ

˜ z Z

øwú¥ú×øa ö¥ûû‹òxü2ö¥ô“÷)òxú* -›»

øwù+)òfòxùY÷ú*

"

÷ñò

ò6xô(\÷)øwú)÷ö×øwù¶ûô|ò!ø2÷ôlö¥ùòxü©|+ö¥ù]\ ýÖ)òUò m[z?$

Š ’ ú¥ö¥û

Â×lØ

Šj£٠ý:`

i

(2(\ølõsü2ö¥ù]\(÷)ø÷ñò3þÿ

"

òW(\øwù+ö¥üòUõú¥ö¥ùòxô“õ

/

(sñõø>ü2ö¥ù]\lòUõ˜òf2ô“÷ö×øwù¹ýa˜ö¥ù÷ñò Zøwú¥ú×øa<

ö¥ù]\

Z

ølõsû Á£ z?$

{

ŠjÂÃÄ ýŒŽ ‹ “’ Šj ýŒŽ ‹ ÓÅ­Æ ýÉJ\ý ‰+ŠjÂ

‰

É

ýŒŽ&ÉJ­ ‰X‘£ÚŠjÂ

‰

Œ ‘

ýŒŽ&ÉJ&¤ÍÉ Ù ý

!

(4)

H KMLONP@Q@R1S P2T'UWVLXVY2S*TJS

ð<øbù2ü÷ñò1ø2÷ö¥ûôlúó“ôlú)ò!ø Z

È

"

ò(ñ2ôxólò

Ñ

ŠjÂÃÄ

ýŒŽ

‹

“’•Ñ ŠjÂ

ýŒŽ

‹

pÑhÅ Æ

Ç È ýÉJ\ý

‰+ŠjÂ

‰

É

ýŒŽ&ÉJ­ ‰X‘£ÚŠjÂ

‰

Œ

‘

ýŒŽ&ÉJ&¤Íɒ

z

Ž ý

#

ølõ

Ñ ŠjÂÃÄ ýŒŽ ‹ M’•Ñ Šj ýŒŽ ‹ ÓÑ

Å

Æ

ÇrÈ ýÉJ\ý

‰+ŠjÂ

‰

É

ýŒŽ&ÉJ&¤Íɒ

z

Ù ý:

3ñ2ö)(sñ Zøwú¥ú×øag

Ñ

ŠjÂÃÄ

ýŒŽ

‹

“’•Ñ ŠjÂ

ýŒŽ

‹

\ýˆ

È

ý

‹

& š­ÑhÅ

Æ

Ç

È]Û ýÉJ

ŠjÂ

ýŒŽ&ÉJ¤Íɒ

z

Ž ý:

ð%ñò

Z

øwú¥ú×øa3ö¥ù]\b)÷ô“÷ö×øwù2ô“õ1©(\øwù2ü2ö×÷ö×øwù+

™

È

ý

‹

“’

z

Ž ý

z

È]Û ýÉJ“’

z

Ž ýa

Z

øwú¥ú×øa4ö¥ûû‹òxü2ö¥ô“÷)òxú*

-ð%ñ2ö)ö¥ù÷1õsù|\wö×ólò

È

ýÉJ“’›š Ù ý

m

/

]X)÷ö×÷1÷ö¥ù]\1÷ñ2ö)ó“ôlú)ò3ø

Z

÷ñòdÏ<ô[\lõsôlù]\lò!û2ú×÷ö*Sú¥ö×òUõ

È

’›šö¥ùY÷)ø÷ñò

Z

2ù+(\÷ö×øwù2ôlú6ý

!

\wö×ólò3ö¥ù÷ñò Zøwú¥ú×øa3ö¥ù]\‹ö×÷)òUõsô“÷ö×øwù Zølõsû2ú¥ô

ŠjÂÃÄ

ýŒŽ

‹

“’ ŠjÂ

ýŒŽ

‹

špÅ Æ

Ç

ý

‰+ŠjÂ

‰

É

ýŒŽ&ÉJ­ ‰X‘£ÚŠjÂ

‰

Œ ‘

ýŒŽ&ÉJ&¤ÍÉ

Ù

ý I

/

ö¥ûö¥ú¥ô“õsú*

"

ò!ø2÷ôlö¥ù¶÷ñò(\ølõõò(\÷ö×øwù

Z

2ù+(\÷ö×øwù2ôlú

Z

ølõý

m

-3òxù+(\òò1ñ2ôxólò

ŠjÂÃÄ

ýª%Ž

‹

ܒ ŠjÂ

ýª%Ž

‹

ÀÅ­Æ

Ç­È ýÉJ\ý

‰+ŠjÂ

‰

É

ýª%Ž&ÉJ

m

ý

‰X‘OڊjÂ

‰

Œ ‘

ýª%Ž&ÉJ ‰X‘£ÚŠjÂ

‰+«

‘

ýª%Ž&ÉJ&

šÝ¬ Š ‘ Š

¤ÍÉ

Ù

ý H

ð%ñòl)÷ô“÷ö×øwù2ô“õ1©(\øwù2ü2ö×÷ö×øwù+ô“õò!ø Z ÷ñò Zøwú¥ú×øa3ö¥ù]\ Zølõsû

M­

È

ý‹ “’

z

Ž ý`

È Û ýÉJ“’

z

Ž ý

!

ôlù2üt)ø_ò(ñ2ôxólò

ýÉJ“’ސ

Ù

ý

#

(5)

œ'ž0Ÿ

P2 &SCP2¡SCY2T'P2¢£S*¡

ž

 ¤P2¡SCY2T^¥

ž

¡



Y@U“¦1Y2 <§Y2¢

Ÿ

S*T[¨L@L@L H

/

]X)÷ö×÷1÷ö¥ù]\÷ñ2ö)%ó“ôlú)ò1ø Z ÷ñòÏ<ô[\lõsôlù]\lò+û2ú×÷ö*Sú¥ö×òUõ

È

’•ö¥ùY÷)øI÷ñò Z2ù+(\÷ö×øwù2ôlú˜ý H

\wö×ólò%÷ñò

Z

øwú¥ú×øa3ö¥ù]\ö×÷)òUõsô“÷ö×øwù

Z

ølõsû2ú¥ô

ŠjÂÃÄ

ýª%Ž

‹

ܒ ŠjÂ

ýª%Ž

‹

­'Å Æ

Ç

ý ‰+ŠjÂ

‰

É

ýª%Ž&ÉJ

m

ý

‰X‘£ÚŠjÂ

‰

Œ

‘

ýª%Ž&ÉJ ‰X‘£ÚŠjÂ

‰+«

‘

ýª%Ž&ÉJ&

šÝ¬ Š

‘

Š ¤ÍÉ Ù ý

3òUõò

"

ò03ö¥ú¥ú+)ò÷ñ2ö)-û‹òU÷ñø>ü‹÷)ø)øwú×ólò%ú¥ö¥ùòxô“õôlù2ü‹ùøwù2ú¥ö¥ùòxô“õ

/

(sñõø>ü2ö¥ù]\lòUõ-òf2ô“÷ö×øwù+

÷)øò)÷ô[Sú¥ö)ñò6xô(\÷)øwú)÷ö×øwù+

Z

ølõ%÷ñò)ò1òf2ô“÷ö×øwù+

-ß à,á ³0‚â†b„1“µ

ð<øeö¥ú¥ú)+)÷)õsô“÷)ò÷ñò|)øwú)÷ö×øwùr2õø'(\òxü+õòIôlù2üpñøa ÷ñòô[Sö¥ú¥ö×÷¹ø Z ÷ñòû‹òU÷ñø>ü

"

)øwû‹ò

ò6xôlûbSú×ò%ô“õòl2õø$ó>ö¥üòxü

-ãäåXærçjèé%êë:ì

»

øwù+ö¥üòUõ÷ñò Zøwú¥ú×øa3ö¥ù]\‹ú¥ö¥ùòxô“õ

/

(sñõø>ü2ö¥ù]\lòUõòf2ô“÷ö×øwù{

‰+Š

‰+‹

ýŒŽ ‹ ­ ‰X‘6Š

‰

Œ ‘ ýŒŽ ‹ “’

z

Ž ý

Š

Ç

ýŒo“’€ö¥ù2ñ

m

Œ Ù ý

m[z

í

ö¥ù]\ ý

I

"

ò1ø2÷ôlö¥ù¶÷ñò

Z

øwú¥ú×øa3ö¥ù]\b1+(2(\ò1ö×ólò(ô[+2õøxö¥ûô“÷ö×øwù+2{

Š™Ä ýŒŽ ‹ î’ ý<š H  ‹ ö¥ù2ñ

m

ŒŽ

Š

‘

ýŒŽ ‹ î’ ý<š H  ‹ 

ý¤š H ‹ ‘

ö¥ù2ñ

m

ŒŽ

-ŠjÂ

ýŒŽ

‹

î’ ý<š H 

‹



ý¤š H 

‹

‘



ý¤š H 

‹

¤ð

I

ï



Ù*Ù*Ù



ý¤š H 

‹

Â

Î

ï

ö¥ù2ñ

m

Œ

Ù

»

øwù+)òfòxùY÷ú*

"

÷ñò!ò6xô(\÷)øwú)÷ö×øwù¶ö)

Šhñòóô

Æ

ýŒŽ

‹

“’•õ[ö+÷&ø

Æ

ö¥ù2ñ

m

Œ

Ù

ý

m

a

ãäåXærçjèé%êëCù

»

øwù+ö¥üòUõ÷ñò(ùøwù2ú¥ö¥ùòxô“õ

/

(sñõø>ü2ö¥ù]\lòUõòf2ô“÷ö×øwù



‰+Š

‰+‹ ýŒŽ

‹

 ‰X‘@Š

‰ Œ

‘

ýŒŽ

‹



m

®

Š

®

‘ Š

’

z

Ž ý

mm

Š

ýŒo“’•õ[ö+ø

ò

Ù

ý

m

(6)

í ö¥ù]\ ý

"

ò1ø2÷ôlö¥ù¶÷ñò Zøwú¥ú×øa3ö¥ù]\b1+(2(\ò1ö×ólò(ô[+2õøxö¥ûô“÷ö×øwù+2{

Š™Ä ýŒŽ ‹ î’ ý™­ ‹ õ[ö+ø

ò

Ž

Š

‘

ýŒŽ

‹

î’ ý™ý

‹

 ý

‹

‘

mï õ ö+ø

ò

Ž

Š

ð

ýŒŽ

‹

î’ ý™ý

‹

 ý

‹

‘



ý

‹

ð

I

ï

õ[ö+ø

ò

Ž

-ŠjÂ

ýŒŽ

‹

î’ ý™ý

‹

 ý

‹

‘



ý

‹

¤ð

I

ï



ý

‹

÷

H

ï



Ù*Ù*Ù



ý

‹

Â

Î

ï

õ ö+ø

ò

Ù

»

øwù+)òfòxùY÷ú*

"

÷ñò!ò6xô(\÷)øwú)÷ö×øwù¶ö)

Šhñòóô

Æ

ýŒŽ

‹

“’•õ øú

Æ

ö

òaû

Ù

ý

m

H

ãäåXærçjèé%êë)ü

»

øwù+ö¥üòUõ÷ñò(ùøwù2ú¥ö¥ùòxô“õ

/

(sñõø>ü2ö¥ù]\lòUõòf2ô“÷ö×øwù



‰+Š

‰+‹

ýª%Ž ‹ 

m

ý

‰X‘6Š

‰

Œ ‘

ýª%Ž ‹  ‰X‘6Š

‰+«

‘

ýª%Ž ‹ &

m

®Š ®

‘

Š ’

z

Ž ý

m

`

Š

Ç

ýŒŽ

«

“’•õ øú òaãý6û

Ù

ý

m!

í ö¥ù]\ ý:

"

ò!ø2÷ôlö¥ù¶÷ñò Zøwú¥ú×øa3ö¥ù]\b1+(2(\ò1ö×ólò1ô[+2õøxö¥ûô“÷ö×øwù+2{

Š™Ä

ýª%Ž

‹

î’ ý™­

‹

õ øú òaãý6û

Ž

Š

‘

ýª%Ž ‹ î’ ý™ý‹  ý ‹ ‘

mï õ øú

òaãý6û

Ž

Š

ð

ýª%Ž ‹ î’ ý™ý‹  ý ‹ ‘



ý ‹ ¤ð

I

ï

õ øú òaãý6û

Ž

-ŠjÂ

ýª%Ž

‹

î’ ý™ý

‹

 ý

‹

‘



ý

‹

¤ð

I

ï



ý

‹

÷

H

ï



Ù*Ù*Ù



ý

‹

Â

Î

ï

õ2øú òaãý6û

Ù

»

øwù+)òfòxùY÷ú*

"

÷ñò!ò6xô(\÷)øwú)÷ö×øwù¶ö)

Šhñòóô

Æ

ýª%Ž ‹ “’•õ2øú

Æ

ãòaãý6û

Ù

þ

ëèsíµïëèµ

ÿ‰ù¶÷ñ2ö)<Sô[òUõ

"

3òk%ó“ô“õsö¥ô“÷ö×øwù2ôlú›ö×÷)òUõsô“÷ö×øwù û‹òU÷ñø>ü ñ2ô<òUòxùt1+(2(\ò1

Z

2ú¥ú*Ÿô[+Sú¥ö×òxüŸ÷)ø

ù2üÁ÷ñò|)øwú)÷ö×øwùÁø Z ÷ñòú¥ö¥ùòxô“õ+ôlù2üOùøwù2ú¥ö¥ùòxô“õ

/

(sñõø>ü2ö¥ù]\lòUõ1òf2ô“÷ö×øwù+

(7)

œ'ž0Ÿ ž ž  Ÿ

ôlüó“ôlùY÷ô[\lòø Z ÷ñò3û‹òU÷ñø>üIö)-÷ñò Zô(\÷˜÷ñ2ô“÷˜ö×÷“2õø$ó>ö¥üòôlùŸôlù2ôlú*@÷ö)(Uôlú2ô[+2õøxö¥ûô“÷ö×øwù

"

ö¥ùûôlùJ|(Uô)ò%ôlùò6xô(\÷g)øwú)÷ö×øwù

"

ö¥ùôõsô[Sö¥ü2ú*b(\øwùYólòUõ1\lòxùY÷)òfòxù+(\òd3ö×÷ñŸòxú×ò2\wôlùY÷ú*

(\øwûbX÷)òxü ÷)òUõsû -Ài

ù2ôlú*@÷ö)(Uôlú0)øwú)÷ö×øwù++òxù2ô[Sú×ò¶õò)òxô“õ(sñòUõ÷)ør)÷12ü]M÷ñò¶ò6nò(\÷Iø

Z

ü2önòUõòxùY÷Ió“ô“õsö¥ô[Sú×òIølõ^Sô“õsôlû‹òU÷)òUõŸøwù²÷ñò Z2ù+(\÷ö×øwùÿ2ù2üòUõ^)÷12ü]¨òxôö¥ú* -›i

(Uú×òxô“õ

(\øwù+(Uú)+ö×øwùp(Uôlùpòüõsô3ù

Z

õøwû ÷ñò¶ù2û‹òUõsö)(Uôlúõò12ú×÷13ñ2ö)(sñOþÿ 2õø$ó>ö¥üò3ö×÷ñ

ñ2ö*\wñ2ú*¶ô(2(2õsô“÷)ò‹ù2û‹òUõsö)(Uôlú )øwú)÷ö×øwùt3ö×÷ñø÷&Sô“÷ö¥ôlúü2ö)1(\õòU÷ö*yxô“÷ö×øwù+ Zølõ!ú¥ö¥ùòxô“õôlù2ü

ùøwù2ú¥ö¥ùòxô“õ

/

(sñõø>ü2ö¥ù]\lòUõòf2ô“÷ö×øwù+

î(èë „1ì‚°˜èé

ð%ñòŒô÷ñølõ™ø2ú¥üIú¥ö*ulò÷)ø+÷ñ2ôlù]uvõø

Z

ò1)ølõ< øu>ñY÷ô“õ1yxôlüòxñ¶ø

Z

ÿ‰ù+)÷ö×÷1÷)ò

Z

ølõ

/

÷12ü2ö×ò

ö¥ù ð%ñòUølõòU÷ö)(Uôlú v˜ñJ'ö)(23ôlù2üq ô“÷ñòxûô“÷ö)(2‹ýPÿvM ZølõŒñ2ö)%ó“ôlú)2ô[Sú×ò1]\\lò)÷ö×øwù+ôlù2ü

ü2ö)1(2+1ö×øwù+

“…êo˜èîh“µ

$

ö¥ô[yxô“õ

"

-ôlù2übeŒñ2ô[yUó>ö¥ù2ö

"

-*"

3òk6ó“ô“õsö¥ô“÷ö×øwù2ôlú@ö×÷)òUõsô“÷ö×øwùû‹òU÷ñø>ü

Z

ølõh)øwú×ó>ö¥ù]\ñJJ

òUõ1øwú¥ö)(1ü2önòUõòxùY÷ö¥ôlú<òf2ô“÷ö×øwù+

" !"# %$'&'()*+,*-./-0

12&3"#45-6,)47"#8:9

ý

m[zzJ#

"

I Á I H

-ma$;

òxñ]\wñ2ôlù "

-ôlù2ü

/

ñ2ô[ulòUõsö

"

s

-*"|i

+Sú¥ö)(Uô“÷ö×øwù ø

Z

3òkMó“ô“õsö¥ô“÷ö×øwù2ôlúIö×÷)òUõsô“÷ö×ólò

û‹òU÷ñø>ü Zølõ0)øwú×ó>ö¥ù]\+÷ñò

»

ô+(sñJIõòxô(\÷ö×øwù'ü2öno+ö×øwù^2õøSú×òxû

"!"#%$5<=47>

?

"!/@A

?B?

8@CD)E#@

ùoìJêý m[zz

"

HJI `Á HH

!-I

$;

òxñ]\wñ2ôlù "

-ôlù2ü

/

ñ2ô[ulòUõsö

"

s

-*"GF

2û‹òUõsö)(Uôlúg)øwú)÷ö×øwù ø

Z

ô,Sö×øwú×ø\wö)(Uôlú0øX2ú¥ô?

÷ö×øwù û‹ø>üòxú<+ö¥ù]\3òkó“ô“õsö¥ô“÷ö×øwù2ôlú%ö×÷)òUõsô“÷ö×ólò û‹òU÷ñø>ü "7<=4

?

"!/@HCD)E#@HA

?B? 8@

I

êý m[zzJ#

"

#

Á£ m[z

-H

$;

òxñ]\wñ2ôlù "

-ôlù2üðô“÷ô“õsö " -*"

ÿ‰üòxùY÷öZ>ö¥ù]\ôlùb2ù]u>ùøa3ù Z2ù+(\÷ö×øwùö¥ù+ôWSô“õsô[øwú¥ö)(

òf2ô“÷ö×øwùl3ö×÷ñ!ø$ólòUõ&ò(UöSòxü(ü2ô“÷ôó>ö¥ô03òk<ó“ô“õsö¥ô“÷ö×øwù2ôlúwö×÷)òUõsô“÷ö×øwù1û‹òU÷ñø>ü

"6<E#BJ0

,*/!03K*LB-M/0

üN<ý m[zz

"

`

#

(8)

!!-` KMLONP@Q@R1S P2T'UWVLXVY2S*TJS

`

$;

òxñ]\wñ2ôlù "

-ôlù2üÁðô“÷ô“õsö " -*"

ð%ñò_+)ò‹ø Z 3òk!ó“ô“õsö¥ô“÷ö×øwù2ôlú-ö×÷)òUõsô“÷ö×ólòIû‹òU÷ñø>ü

Z

ølõg)øwú×ó>ö¥ù]\+÷ñòlsøuu@õò6v˜ú¥ôlù+(1u¶òf2ô“÷ö×øwù

"OPERQJ0-2,*-.

?

/TS

êý m[zz!

"

I

z

Á

I

!-!a$

"

-*"“i

+2õøxö¥ûô“÷)òŸôlù2ôlú*@÷ö)(Uôlú™)øwú)÷ö×øwù

Z

ølõ)òUò2Sô[\lòVUSøaË3ö×÷ñ

Z

õsô(\÷ö×øwù2ôlú

üòUõsö×ó“ô“÷ö×ólò6ö¥ùlølõø+û‹òxü2ö¥ô "<=4

?

"!/@(C:.)E#M1J0.@(A

?B?

8@(C:+-E#@#WXZYR@

ìZN

S

ý

"

`

#

Á

!

-#$

"

-*"|i

+2õøxö¥ûô“÷)òÞ)øwú)÷ö×øwù ø

Z

ùøwù2ú¥ö¥ùòxô“õOü2önòUõòxùY÷ö¥ôlú‹òf2ô“÷ö×øwù+r3ö×÷ñ

(\øwùYóløwú)÷ö×øwùË2õø>ü++(\÷Mùøwù'ú¥ö¥ùòxô“õsö×÷ö×ò "[<=4

?

"!/@\C:.)E#M1J0]A

?B?

8@\C:+-E#@VWXZY

ìZN

S

ý "!

Á

#

I

$

"

-*"'i

\lòxùòUõsôlú¥ö*yUòxüó“ô“õsö¥ô“÷ö×øwù2ôlúX2õsö¥ù+(Uö*Sú×òö¥ùIûö)(\õøwû‹ølõ1Sñ2ö)(÷ñòUõsû‹ø@òxú¥ô)÷ö)(@

ö×÷

"*C:+-E#@^G0.@G<=4747"#

ü£ù(_ìý m[zz

`

"

I Á'

$

"

-ôlù2ü

Ò

-*"

þô“õsö¥ô“÷ö×øwù2ôlú3ö×÷)òUõsô“÷ö×øwù'û‹òU÷ñø>üo{

F

ò2 üòUólòxú×øSû‹òxùY÷

ôlù2ü ô[+Sú¥ö)(Uô“÷ö×øwù+ "P<=4

?

"!021VCD)E!42-07a=)EbA

?B?

-!0

I êý m[zzJ#

"

'Á' H

z?$

"

-*"/

øwû‹òô&>ûb2÷)øl÷ö)((û‹òU÷ñø>ü+

Z

ølõW)÷)õøwù]\wú* ùøwù2ú¥ö¥ùòxô“õ%òf2ô“÷ö×øwù+ "X

CDM12OPERQJ0dc

ù(e<ý m[zz!

"

H Á£

$

"

-*"

þô“õsö¥ô“÷ö×øwù2ôlúö×÷)òUõsô“÷ö×øwù û‹òU÷ñø>ü ôu>ö¥ù2ü ø

Z

ùøwù'ú¥ö¥ùòxô“õôlù2ôlú*@÷ö)(Uôlú<÷)ò(sñ'

ù2ö)fò{“)øwû‹ò!ò6xôlûbSú×ò

"\&'()*+fC:+-E

ü+êý "o!

Á #?z

ma$

"

-*"

þô“õsö¥ô“÷ö×øwù2ôlú<ö×÷)òUõsô“÷ö×øwù û‹òU÷ñø>ü Zølõô÷)øwùøwû‹ø+%ølõsü2ö¥ù2ô“õ1ü2önòUõòxùY÷ö¥ôlú

&')÷)òxû_ "*A

?B?

/+12CD)E!42-01g<=4

?

"!/

ìXìJêý m[zzz

"

`Á£

m

I

I

$

"

-*"

þô“õsö¥ô“÷ö×øwù2ôlúö×÷)òUõsô“÷ö×øwùMû‹òU÷ñø>ü'

/

øwû‹òIõò(\òxùY÷õò12ú×÷1(ôlù2üMùò2 ö¥ùY÷)òUõ&

2õòU÷ô“÷ö×øwù+

"!"#=%$\<=4

?

"!/12A

?B?

/+15CD)E!42-0

ù(e

S

ý

m[zzJ#

"

I Á£

H

$

ÿ‰ùøu'÷ö " -*"'/

ò2u>ö¥ùò

"

-ôlù2üqõsô

"

ð

-*"

eòxùòUõsôlú'+)òø Z ÷ñò<Ï<ô[\lõsôlù]\lò%û2ú×÷ö*Sú¥ö×òUõ

ö¥ù(ùøwù'ú¥ö¥ùòxô“õ<ûô“÷ñòxûô“÷ö)(UôlúJSñJ'ö)(2

-ÿ‰ùo{ /£-hF

òxûô“÷

F

ô1)òUõ "Ri

ü2ö×÷)ølõ

"

þô“õsö¥ô“÷ö×øwù2ôlú

òU÷ñø>ü+ö¥ù!÷ñòM ò(sñ2ôlù2ö)(2<ø Z

/

øwú¥ö¥ü+

"

vòUõ1\wôlû‹øwùvõò1 "Bj

x ZølõsüIý

#

"

`

!

(9)

!m-œ'ž0Ÿ ž ž  Ÿ

`

$

øwûôlù2ö

"t/£-ôlù2ü

i

X2ôôlü

"t/£-*"|i

+Sú¥ö)(Uô“÷ö×øwù ø Z 3òkMó“ô“õsö¥ô“÷ö×øwù2ôlúŸö×÷)òUõsô“÷ö×øwù

û‹òU÷ñø>ü ÷)øÀ3òxú¥ûñøwú×÷&y¹òf2ô“÷ö×øwù

"b<E#BJ0k,*/!0kK*LB-M/0

ù

S

ý

m[zz!

"

Á

m

I

!a$2j

ü2ö*Sô“÷ "Rl -

-ôlù2ü øwûôlù2ö "/£-*"i

+Sú¥ö)(Uô“÷ö×øwù1ø

Z

ó“ô“õsö¥ô“÷ö×øwù2ôlúYö×÷)òUõsô“÷ö×øwùû‹òU÷ñø>ü(÷)ø

ùøwù2ú¥ö¥ùòxô“õü2önòUõòxùY÷ö¥ôlú>òf2ô“÷ö×øwù+-ø ZOZõsô(\÷ö×øwù2ôlúølõsüòUõ

"!/@*!"#*%$m&'()*+

,*-.@&3"#45.@n,)47"#8@6S

ý

m[zz!

"m#

Á I

#$2j

yUòUõ

"

-*"ji

+Sú¥ö)(Uô“÷ö×øwù¹ø

Z

÷ñòó“ô“õsö¥ô“÷ö×øwù2ôlúö×÷)òUõsô“÷ö×øwùOû‹òU÷ñø>üe÷)ø ÷ñò_ø2ù2ü2ô“õ1

ó“ôlú)ò2õøSú×òxû_3ö×÷ñ5o12ûbeü2ö)1(\øwùY÷ö¥ù2ö×÷ö×òô“õsö)ö¥ù]\ö¥ùw)øwú¥ö¥ü¹û‹ò(sñ2ôlù2ö)(2

"p>

p!"#=%$3&'()*+,*-./-015&3"#45-,)47"#8q9

ý

m[zzJ#

"

`' I Á'`'

$_/

ñ2ô[ulòUõsö

"

s

-ôlù2ü

;

òxñ]\wñ2ôlù " -*"#F

2û‹òUõsö)(Uôlú+)øwú)÷ö×øwù‹ø

Z

÷ñògc1ú×òxö¥ù'eølõsüøwù‹òf2ô?

÷ö×øwùIó>ö¥ô3òkó“ô“õsö¥ô“÷ö×øwù2ôlúö×÷)òUõsô“÷ö×øwùŸû‹òU÷ñø>ü

"!&'()*+drsQ42@

I

ìý m[zz

"

Á

$

ðô“õsö

"

-*"

eŒôlùJoö "#;-

;-ôlù2ü5t%ø)÷ôlûö¥ôlù " -*"'i

+2õøxö¥ûô“÷)òW)øwú)÷ö×øwù+ø

Z

c ý m"m

"

c1üþ ôlù2üOû‹ø>ü2öSòxüc1üþ òf2ô“÷ö×øwù+leó“ô“õsö¥ô“÷ö×øwù2ôlúö×÷)òUõsô“÷ö×øwùOû‹òU÷ñø>ü

"

ñøwû‹ø[

÷)ø•òUõ÷1õ1Sô“÷ö×øwùû‹òU÷ñø>ü ôlù2ü ñøwû‹øl÷)ø ôlù2ôlú*'ö)¶û‹òU÷ñø>ü

"

!"#n%$d&'()*+3,*-./-0'17&3"#45-*,)47"#8D9

ý

m[zzJ#

"om[z

I Á

m

z'-m[z?$

ðô“÷ô“õsö "

-ôlù2ü

;

òxñ]\wñ2ôlù " -*"Rj

ù1÷ñòM(\øwùYólòUõ1\lòxù+(\òø Z 3òk<ó“ô“õsö¥ô“÷ö×øwù2ôlúYö×÷)òUõsô“÷ö×øwù

û‹òU÷ñø>ü

"6!"#p%$V<=4

?

"!/@A

?B?

8@nCD)E#@

ù(e

S

ý

m[zzJ#

"

m

Á£

m

-m

$'u

+1 Zø\wú) "ni0-*"

þô“õsö¥ô“÷ö×øwù2ôlú˜ö×÷)òUõsô“÷ö×øwùOû‹òU÷ñø>ü Zølõ(\øwù+)÷)õ+(\÷ö×øwùÁø Z )øwû‹ò^(\øwû

Sô(\÷ôlù2ü ùøwù+(\øwûbSô(\÷b)÷)õ+(\÷1õò+ø

Z

c1ú×òxö¥ù'eølõsüøwùOòf2ô“÷ö×øwù+

"X

!"#n%$d&'()*+3,*-./-0'17&3"#45-*,)47"#8D9

ý

m[zzJ#

"

` I Á£`

References

Related documents

The retailer’s optimal inventory policy is derived when supplier offers a full trade credit to retailer but retailer offers partial trade credit to his/her customer with constant

The aim of the study was to assess the possibility of developing sheep breeding sector in the organic system, in the terms of the consumer’s behavior towards sheep meat obtained

Toxicity of four novel Polyhedral Oligomeric Silsesquioxane (POSS) particles used in anti- cancer drug delivery.. Abdulmajeed Almutary*,

A third issue revolves around the fact that most older adults suffering from depression and/or anxiety disorders do not first seek out a mental health professional for diagnosis and

Filtering of ground level air is performed weekly at six different locations in Sweden: Kiruna, Umeå, Gävle, Ursvik, Visby and Ljungbyhed.. The filters are pressed and the contents

Pranata WS, Suryadarma P, Mangunwidjadja D (2017) Glycerol Utilization as Substrate for Ethanol Production in Escherichia coli Recombinant under an Aerobic Condition..

Sophisticated semantic data management underlies the managed service, thus providing full integration of multiple datasets from many sources, fully mapped and classified using both

Click on the Search button to activate the search and view the list of articles complying with the criteria Market research simple one-step search.. The simple one-step market