bgpfr2008 fardous
Transcript of bgpfr2008 fardous
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Il z~axacail hl
~a|xb`l N@ZO~bgcd SKEAG @KZ ^LGBXL^
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Saeebk~lKgx~ah|cxkag b|v z~axacails hl ~a|xb`l Cibsskokcbxkag ' 3
Kgx~ah|cxkag N@Z '' 8%>2) &^lclkvlh o~ae b ^^%ciklgx+) &~lclkvlh / |slh+?>'8:'2:3':;?:;?< 3>>2) &~lclkvlh / |slh+?>'8:'2:3'::=>:;? ~leaxl%bs >
Cagok |~bxkag ~a|xl|~ >
~a|xl~ n`z >
glk fna~ 2;3'8;'2'2 ~leaxl%bs 2
glk fna~ 2;
BS 2 BS >
^2 ^> ^8
2;3'8;'2'22;3'8;'2'>
2;
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Bcxkbxkag hl N@Z s|~ |g ~a|xl|~ Cagslkis
Za|~ ~kokl~ r|l ils akskgs N@Z sagx mak`gbnils ki lsx cagslkii hlobk~l |g zkg` xlgh| lgx~l ils bh~lssls KZ ~lszlcxkls hlsakskgs) hl obag oa~cl~ il ~a|xl|~ ha zb~x il zkg` h|xkiksl~caeel sa|~cl ibh~lssl KZ szckokl hbgs ib caeebghlglk`fna~ zi|xx r|l ibh~lssl KZ hl ikgxl~obcl ha lsx kss|l il
zbr|lx KCEZ' B cfbr|l cfbg`lelgx hl cagok`|~bxkag h|gl slsskag N@Z) ki lsx
cagslkii hl obk~l |g ~lslx hl ib slsskag N@Z za|~ x~l s~ r|lils ga|lb|v zb~bex~ls sagx nklg z~ks lg caezxl =
cilb~ kz n`z Tbh~lssl KZ h| akskgU TsaoxU
Ki lsx lg a|x~l cagslkii hl ~kokl~ ixbx hl ib slsskag N@Z za|~ x~ls~ r|liil lsx nklg bcxkl =
sf kz n`z glk`fna~ Tbh~lssl KZ h| akskgU
sf kz n`z glk`fna~s
sf kz n`z s|eeb~{
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Bcxkbxkag hl N@Z s|~ |g ~a|xl|~ Cagslkis
R|bgh |gl slsskag N@Z klgx hx~l cagok`|~l s|~ |g ~a|xl|~) ki lsxb|ssk cagslkii hl ~kokl~ ils ~slb|v bggagcs b| akskg N@Z) lx ils~slb|v ~l|s hl cl hl~gkl~ =
sf kz n`z glk Tbh~lssl KZ h| akskgU bhl~xkslh%~a|xls
sf kz n`z glk Tbh~lssl KZ h| akskgU ~lclklh%~a|xls
Bxxlgxkag = za|~ r|l ils caeebghls bhl~xkslh%~a|xls lx~lclklh%~a|xls oagcxkagglgx) ki ob|x bma|xl~ |gl ik`glszckokr|l b| gklb| h| zll~kg` N@Z =
glk`fna~ Tbh~lssl KZ h| akskgU saox%~lcagok`|~bxkagkgna|gh
Ib caeebghl s|kbgxl zl~elx hl ~kokl~ ils ~slb|v ~liilelgxbzz~ks h|g akskg N@Z & hkoo~lgckl~ hl ib caeebghl ~lclklh%~a|xls r|k bookcfl ils ~slb|v ~l|s+ =
sf kz n`z glk Tbh~lssl KZ h| akskgU ~a|xls
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Bcxkbxkag hl N@Z s|~ |g ~a|xl|~ Cagslkis
Ki lsx zassknil hl sc|~ksl~ ib slsskag N@Z lg { bssackbgx |g eax hlzbssl &ki ob|x bia~s cagok`|~l~ il eel eax hl zbssl s|~ ils >~a|xl|~s N@Z r|k agx xbnik |g zll~kg`+ =
glk`fna~ Tbh~lssl KZ h| akskgU zbsspa~h Tx{zl c~{zxb`l &:%0+U Teax hl zbsslU
Ki lsx zassknil hl okvl~ |gl ikekxl s|~ il gaen~l hl ~slb|v lgz~algbgcl h|g akskg N@Z za|~ sl z~ax`l~ h|g akskg r|kbggagcl~bkx % zb~ l~~l|~ % |g x~s `~bgh gaen~l hl ~slb|v)elxxbgx lg z~ki il ~a|xl|~ r|k ~lakx cls bggagcls sk sb xbkiileeak~l lsx ikekxl &clib zl~elx b|ssk hkxl~ hls z~aniels hl~a|xb`l) sk |g akskg r|k fbnkx|liilelgx lgakl r|lir|ls ~slb|v)
sl elx b lga{l~ h| o|ii%~a|xkg`+ = glk`fna~ Tbh~lssl KZ h| akskgU ebvke|e%z~lokv Tgn
ebvke|e hl z~okvls b|xa~kssU Tzb~bex~ls obc|ixbxkos hagxTbil|~ h| za|~clgxb`l hbil~xlU T~lsxb~x To~r|lgcl hl~lheb~~b`l hl ib slsskag N@Z lg cbs hl hzbsslelgxUUTpb~gkg`%agi{UU
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Bcxkbxkag hl N@Z8$ s|~ |g~a|xl|~ S{gxbvl
Ki ob|x) b| z~bibnil) bcxkl~ il ~a|xb`l KZ? s|~ ir|kzlelgx) kb ibcaeebghl =
kz? |gkcbsx%~a|xkg`
Ki ob|x cagok`|~l~ |gl bh~lssl KZ? s|~ |gl kgxl~obcl) ibr|liilsl~k~b za|~ eagxl~ il zll~kg` N@Z =
kgxl~obcl Tgae kgxl~obclUkz? bhh~lss Tbh~lssl KZ?U
kz? lgbnil
Hcib~bxkag h|g akskg N@Z KZ? =
bhh~lss%obeki{ kz?
glk`fna~ Tbh~lssl KZ? h| akskgU bcxkbxl
glk`fna~ Tbh~lssl KZ? h| akskgU ~leaxl%bs Tg|e~a hBSh| akskgU
lvkx%bhh~lss%obeki{
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Bcxkbxkag hl N@Z E|ixkcbsx s|~|g ~a|xl|~ S{gxbvl
Ki ob|x) b| z~bibnil) bcxkl~ il ~a|xb`l E|ixkcbsx s|~ ir|kzlelgx)kb ib caeebghl =
kz e|ixkcbsx ~a|xkg`
Hcib~bxkag h|g akskg EN@Z &KZ8+ =
bhh~lss%obeki{ kz8 e|ixkcbsx
glk`fna~ Tbh~lssl KZ h| akskgU bcxkbxl
glk`fna~ Tbh~lssl KZ h| akskgU ~leaxl%bs Tg|e~a hBS h|akskgU
lvkx%bhh~lss obeki{
Za|~ zi|s hkgoas s|~ il E|ixkcbsx) ak~ =
fxxz=!!ppp'|gk%bilgcklggls'o~!C^\!ENagl
fxxz=!!ppp'|gk%bilgcklggls'o~!C^\!ENagl!cbglbs%cagok`'fx
http://www.univ-valenciennes.fr/CRU/MBonehttp://www.univ-valenciennes.fr/CRU/MBone/canevas-config.htmlhttp://www.univ-valenciennes.fr/CRU/MBone/canevas-config.htmlhttp://www.univ-valenciennes.fr/CRU/MBone -
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Bggagcl~ hls ~slb|v blc N@Z S{gxbvl
Za|~ bggagcl~ hls ~slb|v kb N@Z) ki ob|x |xkiksl~ ib caeebghls|kbgxl =
glxpa~dT~slb|U TebsdTebsr|l ~slb|UU
Bxxlgxkag = ib caeebghl glxpa~d gb|~b hloolx r|l sk il
~slb| r|l iag cfl~cfl bggagcl~ lsx sakx cagg| h| ~a|xl|~zb~ |gl kgxl~obcl hk~lcxlelgx cagglcxl) sakx bzz~ks hl ebgk~lsxbxkr|l a| h{gbekr|l' Ils ~slb|v bggagcs kb ib caeebghlglxpa~d b|~agx za|~ a~k`kgl iBS h| ~a|xl|~ s|~ ilr|liclxxl caeebghl lsx bzzikr|l'
Ib caeebghl glxpa~d lsx |xkiksl~ hbgs ib slcxkag ~a|xl~n`z Tg|e~a hBSU'
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Bggagcl~ hls ~slb|v blc N@Z Lvlezil
BS 2
^2 lN@Z
BS >
^>
^slb|v ciklgxs2;3'2':':!>82;3'2'2':!>8
^slb|v ciklgxs2;3'>':':!>82;3'>'2':!>8
Cagok |~bxkag ~a|xl|~ 2
~a|xl~ n`z 2
glxpa~d2;3'2':': ebsd> ~leaxl%bs >
Cagok |~bxkag ~a|xl|~ >
~a|xl~ n`z >
glxpa~d2;3'>':': ebsd>'2': ebsd>
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Bggagcl~ hls ~slb|v blc N@Z ^lhksx~kn|xkag
Zi|xx r|l hl e|ixkzikl~ ils caeebghls h| x{zl glxpa~d) ki zl|xx~l sa|fbkxbnil hl za|ak~ b|xaebxkr|lelgx ~kgmlcxl~ xa|x a|zb~xkl hls ~slb|v h|g K@Z &^KZ) KS%KS) ASZO+ hbgs iL@Z = clsx ibcaeebghl ~lhksx~kn|xl r|k ~lezikx cl ~il' Ki lsx b|sskzassknil hl ~kgmlcxl~ hbgs N@Z hls ~a|xls sxbxkr|ls) ebks cls
~slb|v sl~agx eb~r|s blc |gl a~k`kgl kgcagg|l hbgs ibxbnil hl ~a|xb`l &~slb|v eb~r|s 1+'
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Bggagcl~ hls ~slb|v blc N@Z S{gcf~agksbxkag
\gl hls ~`ils hl N@Z z~cksl r||g ~a|xl|~ gl hakx zbs bggagcl~) sls akskgs lN@Z) hl ~slb|v bzz~ks zb~ hls akskgs kN@Z zb~lvlezil) eakgs r|l cls ~slb|v gl saklgx `bilelgx z~azb`s b|slkg hl iBS' Cl z~kgckzl sbzzliil ib s{gcf~agksbxkagN@Z'
Ki lsx zassknil hl hsbcxkl~ ib s{gcf~agksbxkag N@Z s|~ |g ~a|xl|~)s|~xa|x sk |g o|ii%elsf kN@Z lsx cagok`|~) `b~bgxkssbgx bkgskr|l ib hlsxkgbxkag ~lsxl mak`gbnil hbgs ikN@Z' Za|~ hsbcxkl~ ibs{gcf~agksbxkag) ki ob|x bzzikr|l~ ib caeebghl s|kbgxl hbgs ibslcxkag ~a|xl~ n`z Tg|e~a hBSU=
ga s{gcf~agksbxkag
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Bggagcl~ hls ~slb|v blc N@Z Ebsr|ls CKH^
N@Z lsx |g z~axacail cibssilss) lx ki lsx zassknil hbggagcl~b|ssk nklg hls s|nglxs r|l hls s|zl~glxs &lg KZ8) |gs|nglx ca~~lszagh |g ebsr|l CKH^7 !>8) |g s|zl~glxca~~lszagh |g ebsr|l 9 !>8+'
Lvlezil =
2;3'2':':!>0
57 glxpa~d2;3'2':': ebsd>8 2;3'2':': 2;3'2':'>
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Bggagcl~ hls ~slb|v blc N@Z B`~`bxkag
Bokg hl gl zbs s|~cfb~`l~ kg|xkilelgx ils xbnils hl ~a|xb`l) |gloagcxkaggbikx lsslgxkliil b x bzza~xl zb~ N@Z8 = ib`~`bxkag'
Ib caeebghl hl nbsl za|~ c~l~ |g b`~`bx lsx b``~l`bxl%bhh~lss) caeebghl |xkiksl~ hbgs ib slcxkag ~a|xl~n`zTg|e~a hBSU' S|kbgx ils zb~bex~ls bssacks clxxlcaeebghl) ils ~s|ixbxs sl~agx hkoo~lgxs =
b``~l`bxl%bhh~lss T~slb|U Tebsr|l ~slb|U
57 ib`~`bx sl~b bggagc) lx ils ~slb|v lvzikckxls r|k oagxzb~xkl hl ib`~`bx lx r|k sagx z~slgxs hbgs ib xbnil hl~a|xb`l sagx cagsl~s) lx sl~agx hagc `bilelgx bggagcsb|v b|x~ls akskgs N@Z'
b``~l`bxl%bhh~lss T~slb|U Tebsr|l ~slb|U s|eeb~{%agi{
57 ib`~`bx sl~b bggagc) ebks ils ~slb|v zi|s lvzikckxlsagx x~l s|zz~kes) lx hagc sl|i ib`~`bx sl~b bggagc b|vb|x~ls akskgs N@Z'
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Bggagcl~ hls ~slb|v blc N@Z B`~`bxkag
BS 2
^2 lN@Z
BS >
^>
^slb|v ciklgxs2;3'2':':!>82;3'2'2':!>8
^slb|v ciklgxs2;3'>':':!>82;3'>'2':!>8
Cagok |~bxkag ~a|xl|~ 2
~a|xl~ n`z 2
glxpa~d2;3'2':': ebsd> ~leaxl%bs >
Cagok |~bxkag ~a|xl|~ >~a|xl~ n`z >
glxpa~d2;3'>':': ebsd>'2': ebsd>Cagok |~bxkag ~a|xl|~ 2
~a|xl~ n`z 2
glxpa~d2;3'2':': ebsd> ~leaxl%bs >
b``~l`bxl%bhh~lss 2;3'2':': >':': ebsd>'2': ebsd>82;3'2':':!>3
^> b bggagcl~|gkr|lelgxil ~slb|2;3'>':':!>3lx zbs2;3'>':':!>82;3'>'2':!>8
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Bggagcl~ hls ~slb|v blc N@Z B`~`bxkag
b``~l`bxl%bhh~lss T~slb|U Tebsr|l ~slb|U gl s|zz~kelb|c|gl ~a|xl szckokr|l) lx b``~l`bxl%bhh~lss T~slb|UTebsr|l ~slb|U s|eeb~{%agi{s|zz~kel xa|s ils ~slb|v ilszi|s szckokr|ls' A~) ag zl|x a|iak~ s|zz~kel~ |gl zb~xkl hls~slb|v szckokr|ls sl|ilelgx ia~s hl ib`~`bxkag) ha ib
caeebghl s|kbgxl r|k cagsksxl bssackl~ |gl ~a|xl%ebz ibcaeebghl b``~l`bxl%bhh~lss =
b``~l`bxl%bhh~lss T~slb|U Tebsr|l ~slb|U s|zz~lss%ebz Tgae hl ib ~a|xl%ebzU
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^a|xl%ebz Z~kgckzls
\gl ~a|xl%ebz zl~elx lsslgxkliilelgx hl cagx~il~ lxeahkokl~ hls kgoa~ebxkags hl ~a|xb`l) hloolcx|l~ hls okix~b`ls lxhkgxl~lgk~ s|~ ib zaikxkr|l hl ~a|xb`l `ianbil' \gl ~a|xl%ebzzl|x sbzzikr|l~ s|~ hls kgoa~ebxkags hl ~a|xb`l b|ssk nklg lglgx~l &eahkokcbxkags hls kgoa~ebxkags hl ~a|xb`l ~l|ls h|g
akskg N@Z+ r|lg sa~xkl &eahkokcbxkags hls kgoa~ebxkags hl ~a|xb`lbbgx x~bgseksskag |g akskg N@Z+'
B| gklb| lN@Z) elxx~l lg zibcl |gl zaikxkr|l hl ~a|xb`lszckokr|l z~lgh s|~xa|x |g slgs r|bgh il ~a|xl|~ s|~ilr|li ag cfl~cfl bzzikr|l~ clxxl zaikxkr|l lsx cagglcx
hl ebgk~l e|ixkzil hb|x~ls akskgs) lx r|l hagczi|skl|~s cflekgs &BS%zbxfs+ sagx zassknils za|~bxxlkgh~l |gl hlsxkgbxkag'
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^a|xl%ebz S{gxbvl
S{gxbvl =
~a|xl%ebz Tgae hl ib ~a|xl%ebzU T T zl~ekx y hlg{ U yTg|e~a hkgsxbgcl hl ib ~a|xl%ebzU U
Zi|skl|~s kgsxbgcls) za~xbgx bia~s hls g|e~as hkoo~lgxs) zl|lgx
x~l bssackls |gl eel ~a|xl%ebz' Il ~a|xl|~ lvc|xl~b ilshkoo~lgxls kgsxbgcls hl ib ~a|xl%ebz h| zi|s zlxkx g|e~ahkgsxbgcl l~s il zi|s `~bgh'
Lvlezil =
~a|xl%ebz VVV zl~ekx 2:
~a|xl%ebz VVV zl~ekx >:
2l~ `~a|zl hl caghkxkags) lx bcxkagssk caghkxkags ~lezikls
>lel `~a|zl hl caghkxkags) sk 2l~lcaghkxkags gag ~lezikls) lx bcxkagssk ga|liils caghkxkags ~lezikls&gaxl = ils ~slb|v gl~zaghbgx b|c|gl caghkxkaggl sagx zbs ~lhksx~kn|s+
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^a|xl%ebz S{gxbvl
\gl ~a|xl%ebz lsx nbsl s|~ il z~kgckzl s|kbgx =
sk CAGHKXKAG ~lezikl &ebxcf+ bia~sBCXKAG&slx+
Lvlezils hl caghkxkags zassknils =
ebxcf bs%zbxf
ebxcf caee|gkx{ ebxcf kz bhh~lss
ebxcf elx~kc
Lvlezil hbcxkags zassknils =
slx bs%zbxf
slx caee|gkx{ slx iacbi%z~lol~lgcl
slx elx~kc
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Kgxl~obcl hl Iaaznbcd Z~kgckzl
^il kgkxkbi h|gl kgxl~obcl hl Iaaznbcd = sbss|~l~ r|libh~lssl KZ h| akskg N@Z ~lsxl \Z kghzlghbeelgx hl ixbxhls kgxl~obcls zf{skr|ls h| ~a|xl|~' Gaxl= ib sxbnkikx hl ib slsskagN@Z hzlgh hl ib sxbnkikx hls bh~lssls KZ hls akskgs N@Z'
Ils kgxl~obcls hl Iaaznbcd sagx sa|lgx |xkiksls za|~ ils zll~kg`s
kN@Z ikgx~kl|~ h|g eel ~slb| = cls akskgs gl sagx zbsoa~celgx hk~lcxlelgx xa|s kgxl~cagglcxs lgx~l l|v) ebks agsa|fbkxl gbgeakgs r|l ils ~a|xl|~s sl aklgx xa|s lgx~l l|v b|slkg hl ikN@Z &kN@Z gxbgx zbs x~bgskxko+'
Ki lsx ~b~l r|l hls akskgs lN@Z gl saklgx zbs hk~lcxlelgxkgxl~cagglcxs) ha ib zassknkikx hxbnik~ il zll~kg` lN@Z lg
|xkiksbgx hk~lcxlelgx ils bh~lssls KZ hls kgxl~obcls zf{skr|ls hl~bcca~hlelgx zi|xx r||gl kgxl~obcl hl Iaaznbcd' Ebks ~klgglezcfl h|xkiksl~ hls bh~lssls hl Iaaznbcd) eel za|~ hlsakskgs hk~lcxlelgx kgxl~cagglcxs &s|~xa|x sk cls akskgs sagxkgxl~cagglcxs hl ebgk~l e|ixkzil+'
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^> ^8
iaaznbcd >
2;
kgxl~obcl iaaznbcd >
kz bhh~lss 2;
glk fna~ 2;
Cagok |~bxkag ~a|xl|~ 8
~a|xl~ n`z >
glk fna~ 2;
glk fna~ 2;
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Kgxl~obcl hl Iaaznbcd /lN@Z e|ixkfaz Lvlezil
BS 2 BS >
^2 ^> ^8
^3
iaaznbcd >2;
Gaxl = ki ob|x b|ssk cagok`|~l~|g ~a|xb`l sxbxkr|l a| |g K@Z
za|~ b|xa~ksl~ ils akskgs gaghk~lcxlelgx cagglcxs slmakgh~l e|x|liilelgx'
Bxxlgxkag =il e|ixkfaz glsx|xkiks r|l za|~ lN@Z) zbsza|~ kN@Z "
lN@Z
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Z~aclss|s hxbkii hl hckskagN@Z Z~kgckzb|v c~kx~ls
sf kz n`z 2;3'8:':':
N@Z ~a|xkg` xbnil lgx~{ oa~ 2;3'8:':':!2?) vl~skag 26:;?< 3>>2) &^lclkvlh o~ae b ^^%ciklgx+) &~lclkvlh / |slh+
?>'8:'2:3':;?:;?< 3>>2) &~lclkvlh / |slh+?>'8:'2:3'::=>:;?8 &cb~zll~kg` hk~lcx lgx~l ^2 lx ^3+ ebks b|ssk BS%zbxf t> 3u za|~ cls~slb|v cb~ ^> b|xa~ksl il x~bgskx lx ils bggagcl ^2'
BS%zbxf t>u za|~ makgh~l 2;3'>':':!>8 lx 2;3'>'2':!>8
BS 2
^2 lN@Z
BS >
^>
BS 3
^3lN@Z
^slb|v ciklgxs2;3'2':':!>82;3'2'2':!>8
^slb|v ciklgxs2;3'>':':!>82;3'>'2':!>8
^slb|v ciklgxs2;3'3':':!>82;3'3'2':!>8
Gaxl = bokg hkxl~ils na|cils) |g~a|xl|~ lN@Zgbcclzxl~b zbs h|gb|x~l ~a|xl|~ ilskgoa~ebxkags hl~a|xb`l r|k agx
za|~ a~k`kgl sagz~az~l BS'
lN@Z
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Z~aclss|s hl hckskag N@Z Zb~bex~l A~k`kg
Il zb~bex~l A~k`kg hokgk ia~k`kgl hl ikgoa~ebxkag h| cflekg'Ki zl|x bak~ i|gl hls bil|~s s|kbgxls) lg oagcxkag hl ib GI^K&Glxpa~d Ib{l~ ^lbcfbnkikx{ Kgoa~ebxkag+ =
K@Z = ib GI^K klgx hl iBS ha~k`kgl &|g k bzzb~bx hbgsikgoa~ebxkag hl ~a|xb`l+' Gaxl = |g ~slb| bggagc kb ib
caeebghl glxpa~d a| kb b`~`bxkag sl~b cagskh~caeel kgxl~gl iBS'
L@Z = ib GI^K lsx bzz~ksl zb~ |g L@Z &|g l bzzb~bxhbgs ikgoa~ebxkag hl ~a|xb`l+
Kgcaezilxl = ib GI^K lsx kgcagg|l &|g 1 bzzb~bx hbgsikgoa~ebxkag hl ~a|xb`l+ &lv= |gl ~a|xl sxbxkr|l ~lhksx~kn|lhbgs N@Z+
Keza~xbgx =bokg hkxl~ ils na|cils) |g ~a|xl|~ lN@Zgbcclzxl~b zbs ils kgoa~ebxkags hl ~a|xb`l r|k agx za|~a~k`kgl sag z~az~l BS'
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Z~aclss|s hl hckskag N@Z Zb~bex~l glvx%faz
Il zb~bex~l glvx%faz lsx ibh~lssl KZ h| akskg r|k b x~l|xkiks za|~ makgh~l |gl hlsxkgbxkag haggl'
Za|~ lN@Z) il glvx%faz lsx) zb~ hob|x) ibh~lssl KZ h| akskgszckokl hbgs ib caeebghl glk`fna~'
Za|~ kN@Z) il glvx%faz glsx zbs oa~celgx il akskg hk~lcxlelgx
cagglcx) cb~ kN@Z cagskh~l r|l ib bil|~ hl glvx%fazbggagcl zb~ lN@Z hakx x~l x~bgsza~xl hbgs kN@Z &hagc bil|~ hlglvx%faz gag eahkokl+'
Ki lsx zassknil hl oa~cl~ N@Z |xkiksl~ |gl bh~lssl KZ caeelglvx%faz) zi|xx r|l hl ibkssl~ il z~axacail hckhl~ zb~ i|k%eel' Clsx il zb~bex~l glvx%faz%slio) bssack ibcaeebghl glk`fna~) r|k ~lezik cl ~il = glk`fna~ Tbh~lssl KZ h| akskgU glvx%faz%slio
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8'2':!>8) sag glvx%faz lsx 2;3'8;'2'>
^> b cagskh~l~ r|l za|~ makgh~l ils ~slb|v 2;3'2':':!>8 lx2;3'2'2':!>8) sag glvx%faz lsx 2;3'8;'2'2
^3 b cagskh~l~ r|l za|~ makgh~l ils ~slb|v 2;3'2':':!>8 lx2;3'2'2':!>8) sag glvx%faz lsx 2;3'8;'2'2 &lx gag zbs2;
^> ^3kN@Z
^slb|v ciklgxs2;3'2':':!>82;3'2'2':!>8
^slb|v ciklgxs2;3'>':':!>82;3'>'2':!>8
2;3'8;'2'2 2;3'8;'2'> 2;
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8?
Z~aclss|s hl hckskag N@Z Zb~bex~l plk`fx
Il zb~bex~l plk`fx &z~az~kxbk~l Cksca+ lsx |xkiks za|~ ibsilcxkag h| elkiil|~ cflekg'
Keza~xbgx =il zb~bex~l plk`fx ~lsxl kgxl~gl b|~a|xl|~ N@Z s|~ ilr|li ki lsx cagok`|~) ki glsx mbebksz~azb` ia~s h|g |zhbxl N@Z' B |xkiksl~ blc eah~bxkag)
cb~ ~ksr|l hl ~a|xb`l bs{ex~kr|l = |g ~a|xl|~ ^2 zl|x hckhl~hbxx~kn|l~ |gl bil|~ plk`fx ill b|v ~slb|v ~l|s h|g~a|xl|~ ^>) ebks cl hl~gkl~ zl|x hckhl~ hl gl zbs bcca~hl~ hlz~ka~kx b|v ~slb|v ~l|s hl ^2' Ki lsx z~o~bnil h|xkiksl~ hlsxlcfgkr|ls nbsls s|~ iBS%z~lzlghkg` &~zxkxkag h|g eel
BS za|~ biiag`l~ b~xkokckliilelgx iBS%zbxf+) ils caee|gb|xs
N@Z a| hls elx~kc' Za|~ |gl eel hlsxkgbxkag) ils ~slb|v eb~r|s blc ib
bil|~ plk`fx ib zi|s oa~xl sagx z~o~s b|v b|x~ls~slb|v'
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80
Z~aclss|s hl hckskag N@Z Zb~bex~l plk`fx
Ki lsx zassknil hl eb~r|l~ xa|s ils ~slb|v ~l|s h|g akskg N@Zblc |gl bil|~ plk`fx zb~xkc|ik~l =
glk`fna~ Tbh~lssl KZ h| akskgU plk`fx Tbil|~ plk`fxU
Hbgs ilvlezil ck%hlss|s) sk ^> z~o~l s{sxebxkr|lelgx ^3 ^2)akck ib cagok`|~bxkag zassknil hl ^> =
BS 2
^2 lN@Z
BS >
^>
BS 3
^3lN@Z
2;3'8;'2'2 2;3'8;'2'> 2;
Cagok |~bxkag ~a|xl|~ >
~a|xl~ n`z >
glk fna~ 2;3'8;'2'2 ~leaxl%bs 2
glk fna~ 2;3'8;'2'2 plk fx 2::
glk fna~ 2; plk fx >::
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86
Z~aclss|s hl hckskag N@Z Zb~bex~l plk`fx
Ki lsx b|ssk zassknil hl eb~r|l~ ils ~slb|v ~l|s h|g akskg N@Zblc |gl bil|~ plk`fx haggl) kb |gl okixl~%iksx a| kb|gl ~a|xl%ebz) ebks cls exfahls sagx zi|xx |xkiksl~ sk iln|x lsx hl eb~r|l~ blc |gl bil|~ plk`fx |gl zb~xklsl|ilelgx hls ~slb|v ~l|s h|g akskg) a| hl eb~r|l~ ils ~slb|v
~l|s blc hls bil|~s plk`fx hkoo~lgxls lg oagcxkag hlcl~xbkgs c~kx~ls'
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8;
Z~aclss|s hl hckskag N@Z Zb~bex~l plk`fx
\xkiksbxkag hl plk`fx blc |gl okixl~%iksx = glk`fna~ Tbh~lssl KZ h| akskgU okixl~%iksx Tg|e~a okixl~%iksxU
plk`fx Tbil|~ plk`fxU
kz bs%zbxf bcclss%iksx Tg|e~a okixl~%iksxU Tzl~ekx y hlg{UTbs%zbxfU
\xkiksbxkag hl plk`fx blc |gl ~a|xl%ebz= glk`fna~ Tbh~lssl KZ h| akskgU ~a|xl%ebz Tgae hl ib ~a|xl%
ebzU kg
kz bs%zbxf bcclss%iksx Tg|e~a okixl~%iksxUTzl~ekx y hlg{UTbs%zbxfU
~a|xl%ebz Tgae hl ib ~a|xl%ebzU Tzl~ekx y hlg{U Tg|e~ahkgsxbgcl hl ib ~a|xl%ebzU
ebxcf bs%zbxf Tg|e~a okixl~%iksxU
slx plk`fx Tbil|~ plk`fxU
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) zi|xx r|l cl|vbggagcs zb~ ^3) lx ^2 gl l|x hls ~slb|v ciklgxs hl ^8 r|l kb^3 lx zbs kb ^>' Ha ib cagok`|~bxkag hl ^2 nbsl s|~ |glokixl~%iksx =
BS 2
^2
BS >
^>
BS 3
^3
2;3'8;'2'2 2;3'8;'2'>
Cagok |~bxkag ~a|xl|~ 2~a|xl~ n`z 2
glk fna~ 2;3'8;'2'> ~leaxl%bs >
glk fna~ 2;3'8;'2'> okixl~%iksx 22 plk fx >::
glk fna~ 2;3' ~leaxl%bs 3
glk fna~ 2;3' okixl~%iksx >> plk fx 2::
BS 8
^8lN@ZlN@Z
lN@Z2;3'
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) zi|xx r|l cl|vbggagcls zb~ ^3) lx ^2 gl l|x hls ~slb|v ciklgxs hl ^8 r|l kb^3 lx zbs kb ^>' Ha ib cagok`|~bxkag hl ^2 nbsl s|~ |gl~a|xl%ebz =
BS 2
^2
BS >
^>
BS 3
^3
2;3'8;'2'2 2;3'8;'2'>
BS 8
^8lN@ZlN@Z
lN@Z2;3' ~leaxl%bs >
glk fna~ 2;3'8;'2'> ~a|xl%ebz ~e kg
glk fna~ 2;3' ~leaxl%bs 3
glk fna~ 2;3' ~a|xl%ebz ~e kg
kz bs%zbxf bcclss%iksx 22 zl~ekx W>(%
kz bs%zbxf bcclss%iksx >> zl~ekx W3(
kz bs%zbxf bcclss%iksx >> zl~ekx W3Q8(
%
kz bs%zbxf bcclss%iksx 33 zl~ekx '-
~a|xl%ebz ~e zl~ekx 2:ebxcfbs%zbxf 22
slx plk fx >::
~a|xl%ebz ~e zl~ekx >:
ebxcf bs%zbxf >>
slx plk fx 2::
~a|xl%ebz ~e zl~ekx 3: ebxcf bs%zbxf 33
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Z~aclss|s hl hckskag N@Z Zb~bex~l iacbi%z~lol~lgcl
Il zb~bex~l iacbi%z~lol~lgcl a| iacbi%z~lo lsx |xkiksb| slkg h|g BS za|~ z~cksl~ r|li lsx il elkiil|~ cflekg za|~ sa~xk~hl iBS bokg hbxxlkgh~l |g ~slb| hagg'
Keza~xbgx = il zb~bex~l iacbi%z~lo lsx z~azb` b| slkgh|g eel BS ia~s h|g |zhbxl N@Z'
Za|~ |gl eel hlsxkgbxkag) ils ~slb|v eb~r|s blc ibbil|~ iacbi%z~lo ib zi|s oa~xl sagx z~o~s b|v b|x~ls~slb|v'
Ib bil|~ hl iacbi%z~lo zb~ hob|x lsx 2::' Ebks ki lsx zassknil hleahkokl~ clxxl bil|~ lx lg bzzikr|l~ |gl ga|liil =
b| gklb| h| ~a|xl|~ N@Z) kb ib caeebghl = n`z hlob|ix iacbi%z~lol~lgcl Tbil|~ iacbi%z~loU
b| gklb| h|g a| zi|skl|~s zll~kg`s cagok`|~s s|~ cl ~a|xl|~kb |gl ~a|xl%ebz) cagxlgbgx ib caeebghl =
slx iacbi%z~lol~lgcl Tbil|~ iacbi%z~loU
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^>2 ^>8
BS 3
^3lN@Z
^>> ^>3
kN@Z
lN@Z
^slb| ! hlsxkgbxkag V
Hbgs ilvlezil ck%hlss|s) ils ~a|xl|~s hl iBS > zl|lgx makgh~l il~slb| a| ib hlsxkgbxkag V hl zi|skl|~s ebgk~ls &kb iBS 2 a| kbiBS 3+' \gl iacbi%z~lol~lgcl lsx hagc bzzikr|l s|~ ils~slb|v bzz~ks hl BS 2 lx hl BS 3 za|~ z~ka~ksl~ zb~ lvlezil ibza~xl hl sa~xkl kb BS 3 r|bgh iBS > l|x makgh~l ib hlsxkgbxkag V'
iacbi%z~lo 2::
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?:
Z~aclss|s hl hckskag N@Z Zb~bex~l hksxbgcl
Bxxlgxkag = ki lsx xlcfgkr|lelgx zassknil hl cfbg`l~ ibbil|~ hl hksxbgcl bssackl N@Z) ebks ki glsx zbs h| xa|xcagslkii hl il obk~l "
S{gxbvl = hksxbgcl n`z Thksxbgcl lvxl~gl &:''>
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?2
Z~aclss|s hxbkii hl hckskagN@Z Bi`a~kxfel
_akck ils z~kgckzbils xbzls za|~ hxl~ekgl~ il nlsx%zbxf = Z~o~l~ il cflekg b{bgx ib bil|~ plk`fx ib zi|s `~bghl
&zb~bex~l z~az~kxbk~l Cksca+
Z~o~l~ il cflekg b{bgx ib bil|~ iacbi%z~lo ib zi|s`~bghl'
Z~o~l~ il cflekg b{bgx |gl a~k`kgl iacbil) hagc `g~ kb|gl caeebghl glxpa~d a| b``~l`bxl &ils ~slb|v`g~s kb ib caeebghl glxpa~d xbgx l|v%eelsz~ka~kxbk~ls zb~ ~bzza~x b|v b`~`bxs+ a| bzz~ks kb |gl~lhksx~kn|xkag h|g K@Z'
Z~o~l~ il cflekg b{bgx iBS%zbxf il zi|s ca|~x'
Z~o~l~ il cflekg blc il x{zl ha~k`kgl il zi|s zlxkx = K@Z&k+ lsx zi|s zlxkx r|l L@Z &l+) lx L@Z lsx zi|s zlxkx r|lKgcaezilxl &1+
Z hx kii h h k k
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?>
Z~aclss|s hxbkii hl hckskagN@Z Bi`a~kxfel
Z~o~l~ il cflekg b{bgx ib bil|~ elx~kc &ELH+ ib zi|szlxkxl'
Z~o~l~ |g cflekg lvxl~gl &lN@Z+ |g cflekg kgxl~gl &kN@Z+'
Z~o~l~ il cflekg bggagc zb~ il ~a|xl|~ b{bgx ib bil|~ hl~a|xl~%KH ib zi|s zlxkxl &ib bil|~ hl ~a|xl~%KH lsx zb~hob|x ibh~lssl KZ ib zi|s fb|xl h| ~a|xl|~) ils bh~lssls hlIaaznbcd xbgx z~o~ls+ &gaxl= ki lsx zassknil hl szckokl~|gl bil|~ hl ~a|xl~%KH kb ib caeebghl n`z ~a|xl~%khTbh~lssl KZU+'
Z~o~l~ il cflekg bggagc zb~ il ~a|xl|~ b{bgx ibh~lssl KZ ibzi|s nbssl'
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?3
Okix~b`l N@Z
Ki lvksxl zi|skl|~s x{zls hl okix~b`l N@Z =
okix~b`l nbs s|~ ils ~slb|v
okix~b`l nbs s|~ ils BS%zbxfs
okix~b`l nbs s|~ ils caee|gb|xs
Okix N@Z n i
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?8
Okix~b`l N@Z nbs s|~ ils~slb|v Z~kgckzl
Il okix~b`l N@Z nbs s|~ ils~slb|v cagsksxl bzzikr|l~) b| gklb|hl ib hcib~bxkag h|g akskg N@Z) |gl BCI ~a|xb`l' Cl x{zl hlokix~b`l zl~elx bia~s hl gl zbs bggagcl~ |g akskg N@Z cl~xbkgs~slb|v &BCI a|x+) a| hl ~lo|sl~ cl~xbkgs ~slb|v~l|s hl clakskg N@Z &BCI kg+ =
glk`fna~ Tbh~lssl KZ h| akskgU hksx~kn|xl%iksx Tg|e~a BCIUTkgya|xU
Okix~b`l N@Z nbs s ~ ils
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? b~lx~bgselxx~l xa|s ils ~slb|v ciklgxs hl ^2 ^3' Ag sa|fbkxl zb~lvlezil r|l ^> gl ~lx~bgselxxl ^3 r|l il ~slb| 2;3'2':':!>8kss| hl ^2 lx zbs il ~slb| 2;3'2'2':!>8' Ha ib cagok`|~bxkagzassknil hl ^>) lg |xkiksbgx |gl hksx~kn|xl%iksx =
Cagok |~bxkag ~a|xl|~ >
~a|xl~ n`z >
glxpa~d2;3'>':':
glxpa~d2;3'>'2':
glk fna~ 2;3'8;'2'2 ~leaxl%bs 2
BS 2
^2 lN@Z
BS >
^>
BS 3
^3lN@Z
2;3'8;'2'2 2;3'8;'2'> 2;
^slb|v ciklgxs2;3'2':':!>82;3'2'2':!>8
^slb|v ciklgxs2;3'>':':!>82;3'>'2':!>8
^slb|v ciklgxs2;3'3':':!>82;3'3'2':!>8
glk fna~ 2; hksx~kn|xl%iksx 2: a|x
%
bcclss%iksx 2: hlg{ 2;3'2'2': :':':'>8'
Okix~b`l N@Z nbs s|~ ils BS
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??
Okix~b`l N@Z nbs s|~ ils BS%zbxfs Z~kgckzl
Il okix~b`l N@Z nbs s|~ ils BS%zbxfs cagsksxl bzzikr|l~ |glokixl~%iksx a| |gl ~a|xl%ebz b| gklb| hl ib hcib~bxkagh| akskg N@Z' Cl x{zl hl okix~b`l zl~elx hl gl zbs bggagcl~ |gakskg N@Z cl~xbkgs ~slb|v &eb~r|s blc |g BS%zbxf hagg+)a| hl ~lo|sl~ cl~xbkgs ~slb|v &eb~r|s blc |g BS%zbxf
hagg+ ~l|s hl cl akskg'
Okix~b`l N@Z nbs s|~ ils BS
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?0
Okix~b`l N@Z nbs s|~ ils BS%zbxfs S{gxbvl
\g okix~l N@Z nbs s|~ ils BS%zbxfs) sc~kx sa|s oa~el h|gllvz~lsskag ~`|ik~l) lx obkx bzzli |gl s{gxbvl zb~xkc|ik~l) hagxakck ils z~kgckzb|v s{enails =
W = hsk`gl il hn|x h|gl cfbgl hl cb~bcx~ls &zl|x x~lb|ssk |xkiks za|~ ib g`bxkag h|gl cfbgl hl cb~bcx~ls sk |xkiks
b| hn|x h|gl hsk`gbxkag h|g kgxl~biil hl cb~bcx~ls =TWkgxl~biil hl cb~bcx~lsU+
( = hsk`gl ib okg h|gl cfbgl hl cb~bcx~ls
' = hsk`gl gkeza~xl r|li cb~bcx~l sl|i &{ caez~ks ilszbcl+
Q = ca~~lszagh hls cb~bcx~ls szckb|v &{ caez~ks il hn|xa| ib okg h|gl cfbgl hl cb~bcx~ls a| ilszbcl+
T U = hsk`gl |g kgxl~biil hl cb~bcx~ls
% = szb~bxl|~ h|g kgxl~biil
Okix~b`l N@Z nbs s|~ ils BS
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?6
Okix~b`l N@Z nbs s|~ ils BS%zbxfs S{gxbvl
1 = sk`gkokl b|c|g a| |g ielgx bikhl - = sk`gkokl b|c|g a| zi|skl|~s ielgxs bikhls
$ = sk`gkokl |g a| zi|skl|~s ielgxs bikhls
Okix~b`l N@Z nbs s|~ ils BS
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?;
Okix~b`l N@Z nbs s|~ ils BS%zbxfs S{gxbvl
Lvlezils = '- = xa|xls ils ~a|xls
W( = ~a|xls iacbils sl|ilelgx &b{bgx za|~ a~k`kgl iBS iacbi+
W>>::( = ~a|xls b{bgx za|~ a~k`kgl BS >>:: &BS >>:: xbgxbia~s |g BS hk~lcxlelgx cagglcx+
Q>>::( = ~a|xls b{bgx za|~ a~k`kgl BS >>:: Q>>::Q = ~a|xls kb iBS >>::
Q&>>::y>>:2+Q = ~a|xls kb iBS >>:: a| iBS >>:2
WT:%;U$( = ~a|xls blc |g BS%zbxf hl iag`|l|~ 2
WT:%;U$QT:%;U$( = ~a|xls blc |g BS%zbxf hl iag`|l|~ >
WT:%;U-QT:%;U$( = ~a|xls blc |g BS%zbxf hl iag`|l|~ 2 a| >
Okix~b`l N@Z nbs s|~ ils BS
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0:
Okix~b`l N@Z nbs s|~ ils BS%zbxfs Lvlezil
Hbgs ilvlezil ck%hlss|s) sk b|c|g okix~b`l glsx loolcx|) ^> b~lx~bgselxx~l xa|s ils ~slb|v ciklgxs hl ^2 ^3' Ag sa|fbkxl zb~lvlezil r|l ^> gl ~lx~bgselxxl ^3 b|c|g hls ~slb|v hl ^2'Ha ib cagok`|~bxkag zassknil hl ^>) lg bzzikr|bgx |gl okixl~%iksx b| gklb| h| zll~kg` blc ^3 =
BS 2
^2 lN@Z
BS >
^>
BS 3
^3lN@Z
2;3'8;'2'2 2;3'8;'2'> 2;
^slb|v ciklgxs2;3'2':':!>82;3'2'2':!>8
^slb|v ciklgxs2;3'>':':!>82;3'>'2':!>8
^slb|v ciklgxs2;3'3':':!>82;3'3'2':!>8
Cagok |~bxkag ~a|xl|~ >
~a|xl~ n`z >
glxpa~d2;3'>':':
glxpa~d2;3'>'2':
glk fna~ 2;3'8;'2'2 ~leaxl%bs 2
%
glk fna~ 2; okixl~%iksx 2: a|x
%
kz bs%zbxf bcclss%iksx 2: hlg{ Q2(
kz bs%zbxf bcclss%iksx 2: zl~ekx '-
%
Okix~b`l N@Z nbs s|~ ils
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02
Okix~b`l N@Z nbs s|~ ilscaee|gb|xs Lvlezil
Hbgs ilvlezil ck%hlss|s) sk b|c|g okix~b`l glsx loolcx|) ^> b~lx~bgselxx~l xa|s ils ~slb|v ciklgxs hl ^2 ^3' Ag sa|fbkxl zb~lvlezil r|l ^> gl ~lx~bgselxxl ^3 b|c|g hls ~slb|v hl ^2'Ha ib cagok`|~bxkag zassknil hl ^2) lg |xkiksbgx |gl caee|gb|xz~hokgkl ga%lvza~x =
BS 2
^2 lN@Z
BS >
^>
BS 3
^3lN@Z
2;3'8;'2'2 2;3'8;'2'> 2;
^slb|v ciklgxs2;3'2':':!>82;3'2'2':!>8
^slb|v ciklgxs2;3'>':':!>82;3'>'2':!>8
^slb|v ciklgxs2;3'3':':!>82;3'3'2':!>8
Cagok |~bxkag ~a|xl|~ 2
~a|xl~ n`z 2
glxpa~d2;3'2':':
glxpa~d2;3'2'2':
glk fna~ 2;3'8;'2'> ~leaxl%bs >
glk fna~ 2;3'8;'2'> slgh%caee|gkx{
glk fna~ 2;3'8;'2'> ~a|xl%ebz ~e a|x
%
~a|xl%ebz ~e zl~ekx 2:
slx caee|gkx{ ga%lvza~x
%
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0>
Zll~%`~a|z Z~kgckzl
\g zll~%`~a|z lsx |g `~a|zl hl akskgs N@Z |xkiksbgxhls ~`ils caee|gls' Hagc) zi|xx r|l hbzzikr|l~ g oakscls ~`ils s|~ cfbc|g hls akskgs N@Z cagok`|~s s|~ |g ~a|xl|~) kis|ookx hl hcib~l~ ilgslenil hl cls akskgs N@Z caeel obksbgxzb~xkl h|g eel zll~%`~a|z lx hbzzikr|l~ ils ~`ils
hk~lcxlelgx s|~ cl `~a|zl' \g zll~%`~a|z zl|x x~l |xkiks lgx~l akskgs kN@Z ebks b|ssk
lgx~l akskgs lN@Z'
Ils xlcfgkr|ls cibsskr|ls hl okix~b`l zl|lgx x~l bzzikr|ls s|~ |gzll~%`~a|z &okixl~%iksx) ~a|xl%ebz+'
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03
Zll~%`~a|z S{gxbvl
Za|~ hcib~l~ |g zll~%`~a|z) ib s{gxbvl lsx skekibk~l cliil|xkiksl za|~ hcib~l~ |g akskg N@Z =
~bzzli hcib~bxkag h|g akskg N@Z =
glk`fna~ Tbh~lssl KZ h| akskgU ~leaxl%bs Tg|e~a hBSh| akskgU
hcib~bxkag h|g zll~%`~a|z =
glk`fna~ Tgae h| zll~%`~a|zU zll~%`~a|z
hcib~bxkag h|g akskg hbgs il zll~%`~a|z =
glk`fna~ Tbh~lssl KZ h| akskgU zll~%`~a|z Tgae h|
zll~%`~a|zU
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08
Zll~%`~a|z / kN@Z Lvlezil
Hbgs ilvlezil ck%hlss|s) ag b cagskh~l~ r|l ^> bzzikr|l |glzaikxkr|l hl okix~b`l caee|gl &blc okixl~%iksx lx ~a|xl%ebz+ lg lgx~l!sa~xkl ks%%ks hl ^3 lx ^8' Ha ib cagok`|~bxkagzassknil hl ^> =
BS >
^> ^8
2;BS 2
^2
2;3'8;'2'2 2;:'2 2;:'>2;3'8;'2'>
Cagok |~bxkag ~a|xl|~ >~a|xl~ n`z >
glk fna~ 2;3'8;'2'2 ~leaxl%bs 2
glk fna~ z`zll~%`~a|z
glk fna~ z` ~leaxl%bs >
glk fna~ z` okixl~%iksx 22 kg
glk fna~ z` okixl~%iksx >> a|xglk fna~ z` ~a|xl%ebz ~e2 kg
glk fna~ z` ~a|xl%ebz ~e> a|x
glk fna~ 2; zll~%`~a|z z`
Zll~%`~a|z / lN@Z
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0 bzzikr|l |glzaikxkr|l hl okix~b`l caee|gl &blc okixl~%iksx lx ~a|xl%ebz+ lg lgx~l!sa~xkl ks%%ks hl ^2 lx ^3) ebks zbs blc ^8'Ha ib cagok`|~bxkag zassknil hl ^> =
BS 2
^2 lN@Z
BS >
^>
BS 3
^3lN@Z
2;3'8;'2'2 2;3'8;'2'> 2;
Cagok |~bxkag ~a|xl|~ >
~a|xl~ n`z >
glk fna~ 2;>:'2'2
glk fna~ z` ~a|xl%ebz ~e> a|x
glk fna~ 2;3'8;'2'2 ~leaxl%bs 2
glk fna~ 2;3'8;'2'2 zll~%`~a|z z
glk fna~ 2; zll~%`~a|z z`
2;
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0?
Cagoh~bxkag N@Z Z~kgckzl
Il n|x h|gl cagoh~bxkag N@Z lsx hl ~h|k~l il ebkiib`lkN@Z hbgs |g BS' Zi|xx r|l hbak~ |g o|ii%elsf &xa|xls ilscaenkgbksags zassknils+ kN@Z blc |g `~bgh gaen~l hl ~a|xl|~s) ilz~kgckzl lsx hl hca|zl~ iBS z~kgckzbi &bzzli BS khlgxkokbgx+lg zi|skl|~s BS slcaghbk~ls) clck bokg =
hl obk~l obckilelgx |g o|ii%elsf ikgx~kl|~ hl cfbc|g hlcls BS slcaghbk~ls 4
hxbnik~ hls zll~kg`s lN@Z lgx~l ils BS slcaghbk~ls &|g ~a|xl|~hl cfbr|l BS slcaghbk~l lsx bia~s hsk`g za|~ ikgxl~cagglvkagl~s ils b|x~ls BS hl ib cagoh~bxkag+) sk cl glsx r|l hlszb~bex~ls ga~ebilelgx gag z~azb`s kb lN@Z za|~~agx x~l
z~sl~s b| slkg hl ib cagoh~bxkag &lv= il zb~bex~l iacbi%z~lo) ga~ebilelgx |gkr|lelgx z~azb` b| slkg h|g eelBS+'
Il `~a|zlelgx hBS sl~b | caeel |g sl|i BS'
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00
Cagoh~bxkag N@Z S{gxbvl
Za|~ hcib~l~ |gl cagoh~bxkag N@Z = n`z cagolhl~bxkag khlgxkokl~ Tg|e~a hBS khlgxkokbgx hl ib
cagoh~bxkagU
Za|~ hcib~l~ ils BS kgx`~l~ hbgs ib cagoh~bxkag =
n`z cagolhl~bxkag zll~s Tiksxl hls BS hls b|x~ls ~a|xl|~s hlib cagoh~bxkagU
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06
Cagoh~bxkag N@Z Lvlezil
Hbgs ilvlezil ck%hlss|s) ag b hca|z iBS > lgx~l 3 BS &BS >2)BS >> lx BS >3+) ha ib cagok`|~bxkag zassknil hls ~a|xl|~s=
BS 2
^2 lN@Z
BS >
^> ^3lN@Z
2;3'8;'2'2 2;3'8;'2'> 2;
^8lN@Z
2;>:'2'2
BS >2 BS >> BS >3
Cagok |~bxkag ~a|xl|~ 2
~a|xl~ n`z 2
glk fna~ 2;3'8;'2'> ~leaxl%bs >
Cagok |~bxkag ~a|xl|~ >
~a|xl~ n`z >2
n`z cagolhl~bxkag khlgxkokl~ >
n`z cagolhl~bxkags zll~s >> >3glk fna~ vvv'vvv'vvv'vvv ~leaxl%bs >2
glk fna~ vvv'vvv'vvv'vvv ~leaxl%bs >2
glk fna~ 2;>:'2'> ~leaxl%bs >3
glk fna~ 2;3'8;'2'2 ~leaxl%bs 2
lN@Z
Cagok |~bxkag ~a|xl|~ 3
~a|xl~ n`z >>
n`z cagolhl~bxkag khlgxkokl~ >
n`z cagolhl~bxkags zll~s >2 >3glk fna~ vvv'vvv'vvv'vvv ~leaxl%bs >>
glk fna~ vvv'vvv'vvv'vvv ~leaxl%bs >>
glk fna~ 2;>:'2'> ~leaxl%bs >3
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0;
^a|xl ~loilcxa~ Z~kgckzl
Caeel za|~ ils cagoh~bxkags N@Z) il n|x h|g ~a|xl~loilcxa~ lsx hl ~h|k~l b| ebvke|e il gaen~l hlslsskags kN@Z zb~bex~l~ s|~ cfbr|l ~a|xl|~ h|g eelBS'
kN@Z) ikgl~sl hl lN@Z) lsx |g z~axacail gag x~bgskxko) clsx%%hk~lr|l sk |g ~a|xl|~ kN@Z ^2 x~bgselx hls ~slb|v |g akskg kN@Z^>) ilr|li b i|k%eel |g akskg kN@Z ^3) bia~s ^3 gb|~b zbscaggbkssbgcl hls ~slb|v bggagcs zb~ ^2 &sb|o sk ^3 xbnikx`bilelgx |g zll~kg` kN@Z blc ^2+) ha sa|lgx ib sai|xkaglvx~el r|k cagsksxl hcib~l~ s|~ cfbr|l ~a|xl|~ kN@Z ilgslenilhls b|x~ls ~a|xl|~s kN@Z caeel akskgs &o|ii%elsf+' Blc |g
~a|xl ~loilcxa~) ki g{ b zi|s nlsakg hl o|ii%elsf kN@Z) cb~cfbr|l ~a|xl|~ kN@Z zakgxl s|~ il ~a|xl ~loilcxa~ r|k caggbx~bxa|s ils ~slb|v bggagcs hbgs ikN@Z &gaxl = |g zll~%`~a|zzl|x `bilelgx zakgxl~ s|~ |g ~a|xl ~loilcxa~+'
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6:
^a|xl ~loilcxa~ Z~kgckzl
Il ~a|xl ~loilcxa~ lx sls ciklgxs cagsxkx|lgx |g ci|sxl~' B| slkg h|g BS) ki lsx zassknil hl cagok`|~l~ zi|skl|~s ~a|xl|~s lg xbgx r|l
~a|xl ~loilcxa~'
\g ~a|xl ~loilcxa~ x~bkxl~b |g b|x~l ~a|xl ~loilcxa~ hl iBS caeel|g skezil ~a|xl|~ kN@Z'
Gaxl = bokg hkxl~ ils na|cils) |g ~a|xl|~ N@Z gbcclzxl~b zbs ils
kgoa~ebxkags hl ~a|xb`l r|k agx za|~ a~k`kgl sag z~az~l BS &kxl~ ilsna|cils lg lN@Z+'Ebks ils na|cils b| slkg h|g eel BS &kN@Z+ glzl|lgx zbs x~l kxls lg bzzikr|bgx skezilelgx clxxl ~`il' R|bgh hls~a|xl ~loilcxa~ sagx hzia{s) clsx `~cl b|v zb~bex~ls a~k`kgbxa~%kh lx ci|sxl~%iksx r|l ils na|cils sagx kxls' Il zb~bex~la~k`kgbxa~%kh cagxklgx il ~a|xl~%kh h| ~a|xl|~ ia~k`kgl hl ib ~a|xl =
sk |g ~a|xl|~ ~lakx |gl kgoa~ebxkag hl ~a|xb`l blc za|~ a~k`kgbxa~%khi|k%eel) bia~s ki ik`ga~l' Il zb~bex~l ci|sxl~%iksx cagxklgx ilsci|sxl~%kh hls ci|sxl~s x~bl~ss) hagc sk |g ~a|xl%~loilcxa~~lakx |gl kgoa~ebxkag hl ~a|xb`l blc |gl ci|sxl~%iksx cagxlgbgx sagz~az~l ci|sxl~%kh) bia~s ki ik`ga~l'
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62
^a|xl ~loilcxa~ Lvlezil
BS 2
^>
^2
^3
^8
kN@ZkN@Z
kN@Z kN@Z
Sbgs ~a|xl ~loilcxa~)ebkiib`l kN@Z xaxbi &o|ii%elsf+'
BS 2
^>
^2
^3
^8
kN@Z kN@Z
kN@Z kN@Z
Blc ~a|xl ~loilcxa~)ebkiib`l kN@Z zb~xkli'
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6>
^a|xl ~loilcxa~ S{gxbvl
Il ciklgx h|g ~a|xl ~loilcxa~ lsx hcib~ s|~ il ~a|xl~loilcxa~ i|k%eel) kb ils caeebghls s|kbgxls =
glk`fna~ Tbh~lssl KZ h| akskg ciklgx h| ~a|xl ~loilcxa~U~leaxl%bs Tg|e~a hBS h| akskgU
glk`fna~ Tbh~lssl KZ h| akskg ciklgx h| ~a|xl ~loilcxa~U ~a|xl%
~loilcxa~%ciklgx
B| gklb| h| ~a|xl|~ ciklgx) il obkx hl zakgxl~ l~s |g ~a|xl~loilcxa~ lsx |g skezil zll~kg` kN@Z =
~a|xl~ n`z Tg|e~a hBSU
glk`fna~ Tbh~lssl KZ h| ~a|xl ~loilcxa~U ~leaxl%bs Tg|e~ahBS h| akskgU
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@i k
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@iassbk~l
EN@Z E|ixkz~axacai &E|ixkcbsx+ Na~hl~ @bxlpb{ Z~axacai ELH E|ixk Lvkx Hksc~kekgbxa~
EZ%N@Z E|ixkZ~axacai Na~hl~ @bxlpb{ Z~axacai
EZIS E|ixkZ~axacai Ibnli Spkxcfkg`
ESHZ E|ixkcbsx Sa|~cl Hkscal~{ Z~axacai
GI^K Glxpa~dIb{l~ ^lbcfbnkikx{ Kgoa~ebxkag ASZO Azlg Sfa~xlsx Zbxf Ok~sx
ZKE%SE Z~axacai Kghlzlghlgx E|ixkcbsx % Szb~sl Eahl
^KZ ^ a|xkg` Kgoa~ebxkag Z~axacai
^Z ^lghl}%a|s Zakgx
SBZ SlsskagBgga|gclelgx Z~axacai
SH^ Slsskag Hk~lcxa~{
XCZ X~bgsol~ Cagx~ai Z~axacai