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1 xzy){v } ~ 5 Vƒ y) ~! # " $ &%' #!! () ˆ ˆ &Šk Œ Ž Ž Œ Ž *,+.- / 012 3! !7 198 # :! & ŠkŠk Š $š2 š6œ1 ž ˆŸˆ & Š)œ1 ž 2 _ 6 & œ3 ˆœLŸˆ &Šž 6 ˆŸ œ1 &Š ' 6 ª & & 6 ž ˆŸ«k 1±²\³ kµ² µ0 0 9 ² ķ¹>² µ»º ¼ ¹X½ 0 ¾ ¼ ¹X¹ ¼ 0¹>²À ¼ 0Á² à ¼ ¹XÄr² ¹X k kµ²å ¹ ¾ Œ ŸˆŒ &Šk Æ Æ ²Ç6 k X½ ÈV½ Æ ¼ k ķ¹ ² ¼ ¹Xµ0 0Á²Ç6 È ÈV½ Æ ¼ k ķ¹ µ0 kµ²ç6 k X½ ÈV½ Æ ¼ k ķ¹ ; <>= D1E FHG IAJ FLKMF>NPOLOLQ5R SF1T3F1UVFXWYD B F Z\[ E] [_^ FLKa` [ JPbYc>= bycld e O>= byclfygaflhlc9r Z\[3i?LE W [ WYT3IkR ^ SlR [ KE J mafxwyi3n o1bycyg0blblbyf9pqm [ ]n o1bycyg0byqlhlo I ir[ E J n T3KMUYs T3KMU3= tvu UVD=IVT>tX= É &Ê$º ² Æ 0Är² Ë kµ0ìk À ¼ÎÍ Ž Ž

2 "! # $ % '&)(! *,+- /.0 1!2 4365!2 k 1±²\³ kµ² µ0 0 9 ² ķ¹>² µ ¼ Ê ² ¹1±² Á ¼ ı> ¼ Š 0 1± ¼ Á² ¼ Á Ê ±² ½ 87 Á² 0µ Æ Æ ²Ç6 k X½ ÈV½ Æ ¼ k ķ¹»º ¼ ¹X½ 0 ¾ ¼ ¹X¹ ¼ 0¹>²ª ¼ 0Á² ¼ Ê ² ¹1±² Á ¼ ı> ¼ ¾ 9 º X 0½\² 87 Á² 0µ ² ¼ ¹Xµ0 0Á²Ç6 È ÈV½ Æ ¼ k ķ¹ à ¼ ¹XÄr² ¹X k kµ²å käk 0 ¹ º ¼ Ê ² ¹1±² Á ¼ ı> ¼ Š 0 1± ¼ Á² ¼ Á Ê ±² ½ 87 Á² 0µ µ0 kµ²ç6 k X½ ÈV½ Æ ¼ k ķ¹ ³ 2Ê ¹ 9º Æ 0 š ¼ µ0 X ;:=<< Í?> à ) k )½ Ä Æ º > ² 1±² µ Ž M Ž É B < ŽCD7ECGF Ž > ² Á Ê 0Är² ¹>² Äk ¼> à > à ¹>² X 0µ ¾r Ä ¼ IH ŽD7 %C > IH ŽD7 Í F$HKJv &Šk ML ¾r Ä ¼ IH ŽD7 %CGB > IH ŽD7 Ž ŽGBKJv ¾ L xzyonqpr SUTWVYXYTZETW[A\QX^] _ Za` _ X$] TWbdc^Àb _ T\Qe^ZETWVYTWc*XE\%f^\U\gf ] _ bdh^i0twc*xe\kj bql \ _nm TdZa\%f^\ e;tw[ _ e^z _ botwvev _ fgtpfgtwvytwc*q _ [rqài0twc*x _ f _ VEÀih^[A\%f _ ZIfGTpbd`rZabdh^`rX _ V s hut \%c*xeàb _ V1vkTWc _Gw/x fgtwvytwc*q _ [rqài0twc*x _zy{_ ` f^`rqàf^àf _ TWif _ ÀV iz] _ f^h^[ _ Vd} _~ D Q ƒr? k dˆ4 Q k Qƒ } _ c^fgt y{_ `Šh^VE\%f _ h^i e^z _ botwvev _ VEÀi0eO[A` Œkbd\%f _ Ž \%VYTW\%f _ c _1 Z _ botwvev _K c^` Œkbd\%f _O } T _~ D Q ƒr * ˆ{ O ošy % =œ D } _ c^fgt y{_ ÌhGXEÀ[A`r W\%f _ h^i?\ki0tdx _ f _ [ _%m À\ Ž \%VYTW\%f^\ c _Ÿž n In w 1 N } r } ckxeª^àvmxytwbaª^c^àbd\%[«zetde _ ZEXd} 8T?e^ZETWVYTWc*X XEªGTŸf _ bdh^i0twc*xe\qxe` _ c m To cgtdza\qxytwf Ž$ XEªGTfGTdq%TW[ _ eoi0twc*xue^z _ botwvev _%y XEªGT s h^\%c*xeh^i bd`rzabdh^`rx VEÀih^[A\QX _ ZvkTWc _Gw± ªGTŠfGTdq%TW[ _ eoi0twc*x Š\%V VYeO[A`rXYXYTWfÀcpX _ i _ f^h [rtwvd}gxeªgt k W ²ˆ4 Q k Qƒ ~ W Q ƒa }O UªGTdZET \?VEÀi0eO[A` ŒOTWfŸe^Z _ botwvev Ž \%VYTWf _ c"xeªgt c^` ŒOTWf Z _ botwvev ³ Š\%Vgh^VYTWf=}\%c^f XEªGT ˆ{ O ošy D W ²ˆ4 Q ~ Qµ Q ƒa }^ UªGTdZET \?i0tdxeª _ f _ [ _%m% Ž \%VYTWf _ c ž n In o Š\%VIh^VYTWf w 6 r{v G =NW *¹ G 9y»º ½ Á Ê ±² ½ ² ¼ ² ı> 0½\²k:r½ 0¹X½ k M±> ½¼ ² ı> 0½ ³:r X 0Áª kµ² k ¹³: X 0Áª kµ² ½ ² ;: X 0Áª kµ² k ¹ ¼ Äk

3 9} P À~ r{ Ny ya Í M ) ¼ µ² Æ ¼ Á r² Ÿ ² ¹ ¼ Èv² & & & É Í Í ) ¼ µ² Æ ¼ Á r² œ ı ¼ ¹>² ½ & & & Í Í H Ÿ ¼ µ² ¹X ) k 0 r² & & &,B Ž yonqn "!_ R$# { &% H M ¹ ¼ k M± ¼ ±> k¹>² & & &,BF H Í ) ¼ µ0 Äk½ ¼ M±> r² µ & & &,BF H H ² Æ ¹>² Á²Π¼ ½µ² X ¼ & & &,BF Í

4 Ÿ ² ¹ ¼ Èv² Ÿ > ¹X Ë ¼ ±² ¹ ¼ X 0Áª kµ² ¹ ½ 0¹X½ k M±> k >² Äk k  X 0Áª kµ² k ¹ ¼ Äk & É Í Ÿ ² ¹ ¼ Èv² Ÿ Í Í?> ¹X ² ¹ Äk ³ ½ 0¹X½ k M±> & & F H Ÿ ² ¹ ¼ Èv² Ÿ Í Í Í?> k M±² ¹ ½ 0¹X½ k M±> & & F Ÿ ² ¹ ¼ Èv² Ÿ Í Í Í H > k M±² ¹ Ê ¹X Ê ¹X ¼ r² ¼ $ r² Ê ¹1±² & < B Ÿ ² ¹ ¼ Èv² Ÿ Í Í Í M %H > ¼ ½ Á Ê ¹ Ê ¹1±² & & < É Ÿ ² ¹ ¼ Èv² Ÿ Í H > k M±² ¹ ½ 0¹X½ k M±> 0 1± ¼ ı ¼ & & C F Ÿ ² ¹ ¼ Èv² Ÿ Í > Š ² µm³ ² ¹ ½ 0¹X½ k M±> & & C < Ÿ ² ¹ ¼ Èv² Ÿ Í É > Ä Æ k¹>² ¹ È ¼ ¹X¹>² Á ¼ ı² & & C C Ÿ ² ¹ ¼ Èv² Ÿ H > Š 0Áª kµ² ¹ ½ 0¹X½ k M±> & & Ž Ž Ÿ ² ¹ ¼ Èv² Ÿ > Š 0ı ¼ ±> \² ¹ ½ 0¹X½ k M±> & & Ž Ÿ ² ¹ ¼ Èv² Ÿ B > ¹X Ë ¼ ±² ¹$½ 0¹X½ k M±> & & Í Ÿ ² ¹ ¼ Èv² Ÿ É > ¼ ¹ ¼ Äk½ ² ¹ Ê ¹1±² ¼ ķ 0ķµ0 0 ± ¼ ½\² & & Í %H Ÿ ² ¹ ¼ Èv² Ÿ É Í M > ¹X ² ¹ Ê ¹1±² Á² ±>¹X & & Í \ Ÿ ² ¹ ¼ Èv² Ÿ É Í Í?> ¹X ² ¹ Ê ¹1±² lê ² ¹>² Á ¼ ±>¹X \² r² & %H DB Ÿ ² ¹ ¼ Èv² Ÿ É k M > ¹X ² ¹ Ê ¹1±² Á² ±>¹X & & %H É Ÿ ² ¹ ¼ Èv² Ÿ É k Í?> ¹X ² ¹ Ê ¹1±² lê ² ¹>² Á ¼ ±>¹X \² r² & %H DF 6œLŸˆ & Å ² Ä ¼ µ² Ê ¹X 0Äk½ Ê ² µ > ¹X Ë ¼ ±² ¹ ¼ X 0Áª kµ² ¹$½ 0¹X½ k M±> ˆ k >² Äk kźź X 0Áª 7 µ² k ¹ ¼ Äk & & & GH < š6œ1š ª ¾r käk½ 0 Är² µ0 0 r² ¼ & & & %C 6œLŸˆ & 5 ¼ ½ 0¹X½ k M± & & & Í Ž à ŠŸˆ œ3 ˆŸ$ $ ª 9 6Ê ¼ Ä & & ^B Í Ã Å Ÿˆ œ3 ˆŸ$ $ ª 9Š ²\³ ¼ ² & & ^B Í Í Ã Å Ÿˆ œ3 ˆŸ$ $ ª 5 ¹ ¼ È ¼ ¹ ¼ Äk½ ¼ & & É Í H à ŠŸˆ œ3 ˆŸ$ $ ª 5 k M± & & É Í Ã Å Ÿˆ œ3 ˆŸ$ $ ª 9Š 0Áª kµ² ±> 0 Ä & & ^F Í B à ŠŸˆ œ3 ˆŸ$ $ ª 5 ¼ X Æ Ä ½ 0¹X½ k M± & & ^F Í É Ã Å Ÿˆ œ3 ˆŸ$ $ ª 9 ² Är² Æ ¼&Æ ² ± ¼ $² Äk»µ0 0ķ¹>² ¹X ¼ & < Í F 6œLŸˆ & 9 ² Är² Æ ¼ µ0 0ķ¹>² ¹X ¼ & & < Í < à ŠŸˆ œ3 ˆŸ$ $ ª 0Äk k & & GC Í C à ŠŸˆ œ3 ˆŸ$ $ ª ¼ µ Ê & & GC H Ž Å ² Ä ¼ µ² Ê ¹X 0Äk½ Ê ² µ & & &,B Ž H ¼ Ä ¾ 0µ ¼ & & &,B) H Í ¼ Ä k M± & & &,B) HH ¼ Ä Š 0Áª kµ² ±> 0 Ä & & &,B Í H ¼ Ä ¼ X Æ Ä ½ 0¹X½ k M± & & &,B Í HGB ¼ Ä &² ± ¼ 0ķ¹>² ¹X ¼ & & &,B$H H É ¼ Ä 0Äk k & & &,B$H HGF Å ² Ä ¼ µ² ¼ 0¹X½ k M± & & &,B$H H < Å ² Ä ¼ µ² ¹ ¼ È ¼ ¹ ¼ Äk½ ¼ & & &,B HC Å ² Ä ¼ µ² š 0 X r² µ0 \² ±> 0 Ä! ¼ ± & &,B Ž Å ² Ä ¼ µ² š 0 X r² µ0 \² ±> 0 Ä ¼ Äk X M±#" Á² ±>¹X & &,BB k Å ² Ä ¼ µ² š 0 X r² µ0 \² ±> 0 Ä 0 1±> Æ ¹>² Á & &,BB Í Å ² Ä ¼ µ² ² Är² Æ ¼&Æ ² ± ¼ & & &,B É GH Å ² Ä ¼ µ² ² Är² Æ ¼ µ0 0ķ¹>² ¹X ¼ & & &,B É H

5 ¹ ¼ k M± ¼ ±> k¹>² k X 0Áª kµ² k ¹ ¼ Äk & &,BF ^B ) ¼ µ0 ½ Äk½ ¼ M±> r² µ_ k X 0Áª kµ² k ¹ ¼ Äk & &,B < É ² 0Ä Ê ² ½ ² Æ ¼ & & &,B < ^F 0¹X½ k M± Ê ² ½ ² Æ ¼ & & &,B$C < &² ± ¼ Ê ² ½ ² Æ ¼ & & & É Ž GC 0ķ¹>² ¹ " Ê ² ½ ² Æ ¼ & & & É Ž

6 ¼ 1± ¼ k )½ ká ¼ ı> ¼ º ¼ X½¹X M±> Ê ¹X )½ ¼ X X ¼ ¼ ¼ ij µm³) 0Á ¼ ı> ±> 0µ0 \² k Ê ² ¹>² ²ž½ Äk 1±>¹X ½ k X 0Áª kµ² k ¹ ¼ ½ 0¹X½ k M±> ½¼ ² ı> 0½ Äk X 0 ¼ ¹>² Äk k À Ê ¹X 0Äk½ 9º Ê 0 ª r²ª 0Äk ¼ Ê ¼ Äk ¼ Äk½ ²À k k ² µ0 º Æ ;:)² k ±> 7 ¼ káâ²î² ¹ ¼ k M± ¼ ±> k¹>² ¼ Á k 0 Á k kµ0 º J ÈV käk½ 0 Är² µ ¼ ¼ 0ı ¼ ¹>² ½ L : Ê X X 0ķ 0µ0 7 ±² Äk k ²² k ½ ² ¼ Ê ¹X )½ ¼ X X $ ¼ ¼ ¼ ij µm³) 0Á ¼ ı> k MÈ ¼ ¹ ¼ ı ¼ Ê ² ¹>²À½\² r²à ká ¼ µ ¼ ³: Ê ² ¹1±> 0Äk k r² ² Ä ² µ0 0 º ¼ r²ž±² ¹ ¼ Èv² ƒ ² ¹>² Á k kµ0»èv käk½ 0 Är² µ ² k ±> º 7 ¼ ká Ê ¹X )½ ¼ X X X 0Á Ê µ0 r½\² k žŗ² 7 ¼ ² k Äk ¹X )½ ¼ X X Äk r½\² k Í : ¼ Ê ² ¹>²Â Á k kµ0  º ¼ 0ı ¼ ¹>² ½ ² k ±> 7 ¼ ká Ê ¹X )½ ¼ X X ¼ ¼ ¼ ij µm³) 0Á ¼ ı> Âŗ² ¼ ² k Är²ÀÁ ¼ ±> ) k µ0 Æ ² ž 6œLŸ$ B

7 " Ä ² µ0 0 º ¼ r² Ÿ ² ¹ ¼ Èv² ¼ º Ê Ä±> ¼ Ê ² ¹1±> 0 r² k Ê ¹X )½ ¼ X X ¼ ½ Äk½ ¼ Ê ½ k Á k kµ0 º r² 0ı ¼ ¹1Èv² ½ ¼Î¼ kźá k kµ0 ÈV käk½ 0 Är² µ º kź X 0Áª kµ² k ¹ ¼ Äk ˆ ¼ ±² Ê ² ¼ ² Ä ² µ0 0 º ¼&¼ Á ) ¼ µ² Æ ¼ Á r² ±² ¹ ¼ Èv² Ê X X k ½ Á ¼ ı>¹>² r²» r² k X ķ¹ ¼» k X ² ¹X 0 º ¼ X ķ¹ ¼ ² ±² ¹ ¼ Èv² ¼ ² Ê ¹ ¼ ¼ ı²ž½ Á >² 9 º r²² ¼ X½¹X ½ ² r²à±² ¹ ¼ Èv²À ¼Æ käk k Á ) ¼ µ0 Ÿ«ˆ &Š9 "!# Á ) ¼ µ² Æ ¼ Á r² ±² ¹ ¼ Èv² ¼º káâ² Á² Ä ¼ 0¹>²z ¼ ¼ ± ¼ ¹& &¹ ¼ ¼ k 0 X M±> & k» X 0 1± ¼ Á² ¼ ÈV ¹XÁ² ² Ê ¼ ¹XÁ M±> 0¹ ²ª káâ²ªá ¼ µ0ìk ¹ ¼ Ê ¼ ½ r½\² ½ ² r²à 0ı ¼ ¹1Èv² ½ ¼ k k X ² ¹X 0 º $² ¹1± ¼ Èv² ±> Á ) ¼ µ² Æ ¼ Á r² ±² ¹ ¼ Èv² Ê ¹X ) k 0 k _Är² Á ) ¼ µ² Æ ¼ Á r² ±² ¹ ¼ Èv² X kķ 1±> M±> ¼ Á : Äk Ê ¹X )½ ¼ X X ˆ käk r½\² k ;: _ k ² Æ ¹>² Á² ¼$&% ('*) % % : ½ Á ²6 k MÈ ¼ ¹ ¼ Ä ½\²¼ ¼ Ê ¼ ¹XÁ M± ¼ Á káâ² ¼ Ê ¼ ½ r½\² ½ ² Á² 0 ¼ ±² µ0ìr² r²2 r²2 0ı ¼ ¹1Èv² ½ ¼ k ˆ k X ² ¹X 0 º «Á ) ¼ µ² Æ ¼ Á r² ±² ¹ ¼ Èv²k: Ê ¹1±² ı> ;: ¼ ¹1³ ¼ ±² ı> Ê ² ¹>²$ $Á k kµ0 ÈV käk½ 0 Är² µ º :%¼ r² ı> Ê ² ¹>² Á k kµ0 À º ¼ 0ı ¼ ¹>² ½ J 0ı ¼ ¹1Èv² ½ ¼ k k X ² ¹X 0 º LP,+ + ~ 5 y ya ¼ 1±² ¼ ½ ² ;: ¼ º ² Ê ¹ ¼ ¼ ı² r² ² ² ¹1³ ¹ º ¼ r²â±² ¹ ¼ Èv²k:±¼ ¼¼ Ê ¼ ½ r½\² ² 6±² ¹ ¼ Èv² 6Ä ¼ ½ ¼ X ² ¹X ² º Ê ² ¹>² ¼ k >² ¹» X 0Áª kµ² k ¹ ¼ Äk ² ¹1³ ¹ º ¼ ÈV k M³) 0 k 0 r² ¼ Á Ê ² ¹1± ¼ ²$¼ k Ê ¹?¼ ¼ 1± ¼ Î ¼¼ Ê ² ½ È 9 º X 0½ ;:káâ² ¼ ³ ¼¼ 1±² ¹$½µ² ¹>²À²² X X )½ ² ½ ¼ ı>¹ ¼ ½\² r² ² ¹1³ ¹ º ¼&¼ X r² $ X k 7)º ² ¹1³ ¹ ¼ ¾ Æ k¹>² Ÿ ² ¹ ¼ Èv² Ÿ > ¹X Ë ¼ ±² ¹ ¼ X 0Áª kµ² ¹ ½ 0¹X½ k M±> k >² Äk k X 0Áª kµ² k ¹ ¼ Äk É

8 ¾ Æ k¹>² Í Ÿ ² ¹ ¼ Èv² Ÿ Í Í?> ¹X ² ¹ Äk ³ ½ 0¹X½ k M±> ¾ Æ k¹>² H Ÿ ² ¹ ¼ Èv² Ÿ Í Í Í?> k M±² ¹ ½ 0¹X½ k M±> F

9 ¾ Æ k¹>² k Ÿ ² ¹ ¼ Èv² Ÿ Í Í Í H > k M±² ¹ Ê ¹X Ê ¹X ¼ r² ¼ $ r² Ê ¹1±² ¾ Æ k¹>² B) Ÿ ² ¹ ¼ Èv² Ÿ Í Í Í M %H > ¼ ½ Á Ê ¹ Ê ¹1±² <

10 ¾ Æ k¹>² É Ÿ ² ¹ ¼ Èv² Ÿ Í H > k M±² ¹ ½ 0¹X½ k M±> 0 1± ¼ ı ¼ ¾ Æ k¹>² F) Ÿ ² ¹ ¼ Èv² Ÿ Í > Š ² µm³ ² ¹ ½ 0¹X½ k M±> ¾ Æ k¹>² < Ÿ ² ¹ ¼ Èv² Ÿ Í É > Ä Æ k¹>² ¹ È ¼ ¹X¹>² Á ¼ ı² C

11 ¾ Æ k¹>² C Ÿ ² ¹ ¼ Èv² Ÿ H > Š 0Áª kµ² ¹ ½ 0¹X½ k M±> ¾ Æ k¹>² Ž Ÿ ² ¹ ¼ Èv² Ÿ > Š 0ı ¼ ±> \² ¹ ½ 0¹X½ k M±> Ž

12 ¾ Æ k¹>² Ÿ ² ¹ ¼ Èv² Ÿ B > ¹X Ë ¼ ±² ¹$½ 0¹X½ k M±>

13 ¾ Æ k¹>² Í Ÿ ² ¹ ¼ Èv² Ÿ É > ¼ ¹ ¼ Äk½ ² ¹ Ê ¹1±² ¼ ķ 0ķµ0 0 ± ¼ ½\² ¾ Æ k¹>² %H Ÿ ² ¹ ¼ Èv² Ÿ É Í M > ¹X ² ¹ Ê ¹1±² Á² ±>¹X Í

14 ¾ Æ k¹>² \ k Ÿ ² ¹ ¼ Èv² Ÿ É Í Í?> ¹X ² ¹ Ê ¹1±² lê ² ¹>² Á ¼ ±>¹X \² r² ¾ Æ k¹>² DB) Ÿ ² ¹ ¼ Èv² Ÿ É k M > ¹X ² ¹ Ê ¹1±² Á² ±>¹X ¾ Æ k¹>² É Ÿ ² ¹ ¼ Èv² Ÿ É k Í?> ¹X ² ¹ Ê ¹1±² lê ² ¹>² Á ¼ ±>¹X \² r²,+ + yon\ } 5 yon ž ¼ X½¹X M±> ¹ ¼» ¼ X½¹ ¼ ³ ¼ Á,² ±² ¹ ¼ Èv² ž² Ê ¹ ¼ ¼ ı² r² žär² ² ¹1³ ¹ º ¼ r² ±² ¹ ¼ Èv² ¼Æ k 0¹³: ² Ê ¹ ¼ ¼ ı² k 2 ¼ X½¹X M±> ¹ ¼ ˆ k X 0Áª kµ² k ¹ ¼ Äk %H

15 µ² X ¼ Ÿ ² ¹ ¼ Èv² Á ¼ Ÿ ¹X Ë ¼ ±² ¹ ¼ X 0Áª kµ² ¹ ½ 0¹X½ k M±> k >² Äk k ¼ Äk ¹X Ë ¼ ±² ¼ X 0Áª kµ²î½ 0¹X½ k M±> k >² Äk k ¼ Äk Š M±> r² ½ œ Äk 0½ ² µ JYŠ)œaL ¼ Ÿ Jv Š;L ¼ Ÿ ½ ¼ Î M : Î < Š k ±² ¹ ¼ Èv² Ÿ Í : Ÿ H : Ÿ : Ÿ B : Ÿ É : Ÿ F Ÿ ² ¼ µ² Ÿ ¹X Ë ¼ ±² ¹ ¼ X 0Áª kµ² ¹ ½ 0¹X½ k M±> k >² Äk k ¼ Äk Á ¼ Š)œ ¼ Ÿ 7 ¹ ¼ ¼ k 0 X M±> Ê ² ¹>² ¼ ¼ Ÿ ¼ Ë ² ¼ ½ ±² r² Ë ¼ ±> ² Áªķ ¼ ı ¼ :k k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J ² Áªķ ¼ ı ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L Á ² ±> 0Ä Æ 0¹ > Ÿ ² ¼ µ² Í Š)œ ¼ Ÿ Á ¼ Š ¼ Ÿ Š M±> r² ½ ² ² Ê$º ¼ ½ ½ ²  ¼ Ÿ Ë ¼ ±> ² Áªķ ¼ ı ¼ ¼ >² ±> M³ ² k J ² Áªķ ¼ ı ¼ L Á ² ±> 0Ä Æ 0¹ Î < Ÿ ² ¼ µ² H Š ¼ Ÿ µ² X ¼ ½ Á ¼ Î M ±> M³ ² ¹$² Áªķ ¼ ı ¼ œ Äk 0½ ² µ0 \² ² Áªķ ¼ ı ¼ Š)œ ¼ Ÿ Š ¼ Î M Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ÿ ² ¼ µ² k Î M ±> M³ ² ¹$² Áªķ ¼ ı ¼ \

16 Á ¼ Š)œ ¼ Î M Š M±> r² ½ ² ² Ê$º ˆ² ¼ ½ ½ ² ź ¼ Î M Ë ¼ ±> ² Áªķ ¼ ı ¼ ² ±> M³ ² k J ² Áªķ ¼ ı ¼ L Á ² ±> 0Ä Æ 0¹ Î M Ÿ ² ¼ µ² B) Š)œ ¼ Î M µ² X ¼ Ÿ ² ¹ ¼ Èv² Á ¼ Ÿ Í» ¼ ¹ ¼ Äk½ ² ¹ ½ 0¹X½ k M±> ¼ ¹ ¼ Äk½ ²À½ 0¹X½ k M±> ½¹X ²k:k² ķ¹ ¼&¼ >² µm³ ²À½ 0¹X½ k M±> ¼ Á ² ¹ ¼ k M³ ³: 0Á Ê ¹X 0Á ¼ ½ 0¹X½ k M±> ³: ¼ rä ¼ Ê ¹X Ê ¹X ¼ r² ¼ $ r²àè ¼ ¹X¹>² Á ¼ ı² Š ¼ Î M Š ¼ Ÿ Í ½ ¼ Î Í M : Î Í B : Î Í F Š k ±² ¹ ¼ Èv² Ÿ Í Í : Ÿ Í H : Ÿ Í : Ÿ Í É Ÿ ² ¼ µ² É Ÿ Í ¼ ¹ ¼ Äk½ ² ¹ ½ 0¹X½ k M±> Á ¼ Š ¼ Ÿ Í Š M±> r² ½ ² ² Ê$º ˆ² ¼ ½ ½ ² ź ¼ Ÿ Í Ë ¼ ±> ² Áªķ ¼ ı ¼ k 0 Ê Ä 9 º ³ ¼ µ J ² Áªķ ¼ ı ¼ L Á ² ±> 0Ä Æ 0¹ Î Í M : Ÿ Í Í : Ÿ Í H : Ÿ Í : Î Í B : Ÿ Í É : Î Í F Ÿ ² ¼ µ² F) Š ¼ Ÿ Í µ² X ¼ ½ Á ¼ Î Í M Š ¼ µ ¼ ½ 0 Är² ¹ Ê ½ Š ¼ µ ¼ ½ 0 Är² ¹ M± ¼ Á ¼ Á ¼ Ä ¾ 0µ ¼ Š)œ ¼ Î Í M Š ¼ Î Í M Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> Á ¼ Ä rµ ¼ Ÿ ² ¼ µ² < Î Í M Š ¼ µ ¼ ½ 0 Är² ¹ Ê ½ DB

17 Á ¼ Š)œ ¼ Î Í M 7 ¹ ¼ ¼ k 0 X M±> Ê ² ¹>² ¼ ½ ½ ²  ¼ Î Í M Ë ¼ ±> Á ¼ Ä rµ ¼ :k k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J Á ¼ Ä rµ ¼ L :k k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L Á ² ±> 0Ä Æ 0¹ Î Í Ÿ ² ¼ µ² C Š)œ ¼ Î Í M Á ¼ Š ¼ Î Í M Š M±> r² ½ ² ² Ê$º ¼ ½ ½ ²  ¼ Î Í M Ë ¼ ±> Á ¼ Ä rµ ¼ ¼ µ ¼ ½ 0 Är² k J Ä ¼ L ¼ µ ¼ ½ 0 Är² k J Ê ¼ Ä L ¼ µ ¼ ½ 0 Är² k J >²\³ ¼ L ¼ µ ¼ ½ 0 Är² k J Ê ¹X 0ı L ¼ µ ¼ ½ 0 Är² k J ºvÊ ¹ ¼ È ¼ ¹ ¼ Äk½ ¼ L ¼ µ ¼ ½ 0 Är² k J ½µ0 ¼ L ¼ µ ¼ ½ 0 Är² k J M± L Á ² ±> 0Ä Æ 0¹ Î Í M Ÿ ² ¼ µ² Ž Š ¼ Î Í M µ² X ¼ Ÿ ² ¹ ¼ Èv² Á ¼ Ÿ Í Í ¹X ² ¹ Äk ³ ½ 0¹X½ k M±> ¹X ²ÀÄk ³ ½ 0¹X½ k M±> ÀÄk ² Áªķ ¼ ı ¼ Š)œ ¼ Ÿ Í Í Š ¼ Ÿ Í Í ½ ¼ > Š k ±² ¹ ¼ Èv² Ÿ Í Í M : Ÿ Í Í Í Ÿ ² ¼ µ² Ÿ Í Í ¹X ² ¹ Äk ³ ½ 0¹X½ k M±> Á ¼ Š)œ ¼ Ÿ Í Í 7 ¹ ¼ ¼ k 0 X M±> Ê ² ¹>² Ÿ Í Í Ë ¼ ±> k X ² ¹X 0 ;:ká º ¼ Ä rµ ¼ :ká k ¼ :k± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J Á ¼ Ä rµ ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : ¼ µ ¼ ½ 0 Är² k J Ä ¼ L Á ² ±> 0Ä Æ 0¹ Î Í M Ÿ ² ¼ µ² Í Š)œ ¼ Ÿ Í Í É

18 Á ¼ Š ¼ Ÿ Í Í Š M±> r² ½ ² ² Ê$º Ÿ Í Í Ë ¼ ±> ½ 0¹X½ k M±> k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :² ±> M³ J ½ 0¹X½ k M±> L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í M Ÿ ² ¼ µ² %H Š ¼ Ÿ Í Í µ² X ¼ Ÿ ² ¹ ¼ Èv² Á ¼ Ÿ Í Í M ¼ räk 0¹ Ê ¹X Ê ¹X ¼ r² ¼ ¼ rä ¼ Ê ¹X Ê ¹X ¼ r² ¼ $ k Äk ³ ½ 0¹X½ k M±> Š ¼ Í Í Š ¼ Ÿ Í Í M ½ ¼ Î Í Í M M : Î Í Í M Í : Î Í Í M H Š k ±² ¹ ¼ Èv² > Ÿ ² ¼ µ² \ k Ÿ Í Í M ¼ räk 0¹ Ê ¹X Ê ¹X ¼ r² ¼ Á ¼ Š ¼ Ÿ Í Í M Š M±> r² ½ ² ² Ê$º Ÿ Í Í M Ë ¼ ±> ½ 0¹X½ k M±> ;:Ä ká º ¼ ¹X À ¼ ¼ kķ M±> ³:rÄ ká º ¼ ¹X À ¼ ½ µ0 kär² ³:±> Ê ¼ ¼ 1±² k k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :³ ² 0 J ½ 0¹X½ k M±> L :² ±> M³ J ½ 0¹X½ k M±> L : ¼ räk 0 k J Ä ká º ¼ ¹X À ¼ ¼ kķ M±> L :r ¼ räk 0 k J Ä ká º ¼ ¹X À ¼ ½ µ0 kär² L ¼ räk 0 k J ±> Ê À ¼&¼ 1±² k L Á ² ±> 0Ä Æ 0¹ Î Í Í M M ¼ Œ Î Í Í M ͪ¼ Œ Î Í Í M H Ÿ ² ¼ µ² DB) Š ¼ Ÿ Í Í M µ² X ¼ ½ Á ¼ Î Í Í M M ¼ räk 0¹ Ä ká º ¼ ¹X À ¼ ¼ kķ M±> ¼ rä ¼ Ä ká º ¼ ¹X À ¼ ¼ kķ M±> $ k Äk ³ ½ 0¹X½ k M±> Š)œ ¼ Î Í Í M M Š ¼ Î Í Í M M Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½\² ¼ ± Ä ká º ¼ ¹X À ¼ ¼ kķ M±> Ÿ ² ¼ µ² É Î Í Í M M ¼ räk 0¹ Ä ká º ¼ ¹X ¼ ¼ kķ M±> DF

19 Á ¼ Š)œ ¼ Î Í Í M M ¼ ¼ k 0 X M±> Ê ² ¹>²À ¼ räk ½ ² ¼ Ä ká º ¼ ¹X À ¼ ¼ kķ M±> $ k ½ 0¹X½ k M±> Ë ¼ ±> ½\² ¼ ± Ä ká º ¼ ¹X À ¼ ¼ kķ M±> :r k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J ½\² ¼ ± Ä ká º ¼ ¹X À ¼ ¼ kķ M±> L : k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : Ê ¹ ¼¼ Äk½Ìk 0 k 7 ½ Á 7 ¼ Èv² kµm± J ½\² ¼ ± Ä ká º ¼ ¹X À ¼ ¼ kķ M±> L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í M Ÿ ² ¼ µ² DF) Š)œ ¼ Î Í Í M M Á ¼ Š ¼ Î Í Í M M Š M±> r² ½ ² ² Ê$º Î Í Í M M Ë ¼ ±> ½\² ¼ ± Ä ká º ¼ ¹X À ¼ ¼ kķ M±> Ê ¹ ¼¼ Äk½Ìk 0 k J ½\² ¼ ± Ä ká º ¼ ¹X À ¼ ¼ kķ M±> L Á ² ±> 0Ä Æ 0¹ Î Í Í M M Ÿ ² ¼ µ² < Š ¼ Î Í Í M M µ² X ¼ ½ Á ¼ Î Í Í M Í ¼ räk 0¹ Ä ká º ¼ ¹X À ¼ ½ µ0 kär² ¼ rä ¼ Ä ká º ¼ ¹X À ¼ ½ µ0 kär² $ k Äk ³ ½ 0¹X½ k M±> Š)œ ¼ Î Í Í M Í Š ¼ Î Í Í M Í Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½\² ¼ ± Ä ká º ¼ ¹X À ¼ ½ µ0 kär² Ÿ ² ¼ µ² %C Î Í Í M Í ¼ räk 0¹ Ä ká º ¼ ¹X À ¼ ½ µ0 kär² Á ¼ Š)œ ¼ Î Í Í M Í ¼ ¼ k 0 X M±> Ê ² ¹>²À ¼ räk 0¹$Ä ká º ¼ ¹X À ¼ ½ µ0 kär² Ë ¼ ±> ½\² ¼ ± Ä ká º ¼ ¹X À ¼ ½ µ0 kär² :r k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J ½\² ¼ ± Ä ká º ¼ ¹X À ¼ ½ µ0 kär² L : k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : Ê ¹ ¼¼ Äk½Ìk 0 k 7 ½ Á 7 ¼ Èv² kµm± J ½\² ¼ ± Ä ká º ¼ ¹X À ¼ ½ µ0 kär² L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í M Ÿ ² ¼ µ² Í Ž Š)œ ¼ Î Í Í M Í <

20 Á ¼ Š ¼ Î Í Í M Í Š M±> r² ½ ² ² Ê$º Î Í Í M Í Ë ¼ ±> ½\² ¼ ± Ä ká º ¼ ¹X À ¼ ½ µ0 kär² Ê ¹ ¼¼ Äk½Ìk 0 k J ½\² ¼ ± Ä ká º ¼ ¹X À ¼ ½ µ0 kär² L Á ² ±> 0Ä Æ 0¹ Î Í Í M Í Ÿ ² ¼ µ² Í Š ¼ Î Í Í M Í µ² X ¼ ½ Á ¼ Î Í Í M H ¼ räk 0¹ ±> Ê À ¼&¼ 1±² k ¼ rä ¼ ±> Ê À ¼ Èv² kµm±$ ¼&¼ 1±² k Ê ² ¹>²À Äk ³ ½ 0¹X½ k M±> Š)œ ¼ Î Í Í M H Š ¼ Î Í Í M H Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½Ì ¼ ½ 9 ³ ¼ ±> ¹ˆ ¼&¼ 1±² k :r½ì ¼ ½ 9 Á² ±>¹X 6 ¼ Äk X 0 r² ¼ Ÿ ² ¼ µ² Í Í Î Í Í M H ¼ räk 0¹ ±> Ê À ¼&¼ 1±² k Á ¼ Š)œ ¼ Î Í Í M H ¼ ¼ k 0 X M±> Ê ² ¹>²À ¼ räk 0¹ ±> Ê À ¼ Èv² kµm±$ ¼&¼ 1±² k Ê ² ¹>²À Äk ³ ½ 0¹X½ k M±> Ë ¼ ±> ½Ì ¼ ½ 9 ³ ¼ ±> ¹ˆ ¼&¼ 1±² k :r½ì ¼ ½ 9 Á² ±>¹X 6 ¼ Äk X 0 r² ¼ : k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J ½Ì ¼ ½ 9 ³ ¼ ±> ¹$ ¼&¼ 1±² k L :5 k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J ½Ì ¼ ½ 9 Á² ±>¹X 6 ¼ Äk X 0 r² ¼ L :5 k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : ¼ µ ¼ ½ 0 Är² k J ½Ì ¼ ½ 9 ³ ¼ ±> ¹ˆ ¼&¼ 1±² k L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í M Ÿ ² ¼ µ² Í H Š)œ ¼ Î Í Í M H %C

21 Á ¼ Š ¼ Î Í Í M H Š M±> r² ½ ² ² Ê$º Î Í Í M H Ë ¼ ±> ½Ì ¼ ½ 9 ³ ¼ ±> ¹ˆ ¼&¼ 1±² k :r½ì ¼ ½ 9 Á² ±>¹X 6 ¼ Äk X 0 r² ¼ ¼ µ ¼ ½ 0 Är² k J ½Ì ¼ ½ 9 ³ ¼ ±> ¹$ ¼&¼ 1±² k L ¼ µ ¼ ½ 0 Är² k J ½Ì ¼ ½ 9 Á² ±>¹X 6 ¼ Äk X 0 r² ¼ L Á ² ±> 0Ä Æ 0¹ Î Í Í M H Ÿ ² ¼ µ² Í k Š ¼ Î Í Í M H µ² X ¼ Ÿ ² ¹ ¼ Èv² Á ¼ Ÿ Í Í Í k M±² ¹ ½ 0¹X½ k M±> ¼ ¹XÁ M± ¼ ¼ k ½ ² ¼ ½ 0¹X½ k M±> Š)œ ¼ Ÿ Í Í Í Š ¼ Ÿ Í Í Í ½ ¼ Î Í Í Í M : Î Í Í Í Í : Î Í Í Í : Î Í Í Í B : Î Í Í Í É : Î Í Í Í F : Î Í Í Í <k: Î Í Í Í C : Î Í Í Í M Ž : Î Í Í Í M : Î Í Í Í M Í Š k ±² ¹ ¼ Èv² Ÿ Í Í Í H : Ÿ Í Í Í M %H Ÿ ² ¼ µ² Í B) Ÿ Í Í Í k M±² ¹ ½ 0¹X½ k M±> Á ¼ Š)œ ¼ Ÿ Í Í Í ¼ ¼ k 0 X M±> Ê ² ¹>² ¼ k M±² ¹ ½ 0¹X½ k M±> Ë ¼ ±> k X ² ¹X 0 ;:k½ 0¹X½ k M±> ;:½ 0¹X½ k M±> $² º ¼ ¹1±> ³:rķ 0ķµ0 0 ± ¼ ½\² ¼ kķ M± : ķ 0ķµ0 0 ± ¼ ½\² Ê ² ¹>² Á ¼ ±>¹X \² r² :kķ 0ķµ0 0 ± ¼ ½\² ½ ı>¹X µ² r² :rá k ¼ : ± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> ² ¼ ¹1±> L : k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :) k 0 Ê Ä 9 º ³ ¼ µ J ķ 0ķµ0 0 ± ¼ ½\² ¼ kķ M± L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ķ 0ķµ0 0 ± ¼ ½\² ½ ı>¹X µ² r² L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : k 0 Ê Ä 9 º ³ ¼ µ J ķ 0ķµ0 0 ± ¼ ½\² Ê ² ¹>² Á ¼ ±>¹X \² r² L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Ÿ ² ¼ µ² Í É Š)œ ¼ Ÿ Í Í Í Í Ž

22 Á ¼ Š ¼ Ÿ Í Í Í Š M±> r² ½ ² À Ê$º Ÿ Í Í Í Ë ¼ ±> ½ 0¹X½ k M±> k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L Á ² ±> 0Ä Æ 0¹ Î Í Í Í M : Î Í Í Í Í : Ÿ Í Í Í H : Î Í Í Í : Î Í Í Í B : Î Í Í Í É : Î Í Í Í F : Î Í Í Í <k: Î Í Í Í C : Î Í Í Í M Ž : Î Í Í Í M : Î Í Í Í M Í : Ÿ Í Í Í M %H Ÿ ² ¼ µ² Í F) Š ¼ Ÿ Í Í Í µ² X ¼ ½ Á ¼ Î Í Í Í M œ Äk ¼ ¹X 0¹ Ê ¹1±² œ Äk ¼ ¹ ¼ Ê ¹1±²ÀÄk ½ 0¹X½ k M±> ² ±> M³ Š)œ ¼ Î Í Í Í M Š ¼ Î Í Í Í M Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> Ê ¹1±²k:k½ 0¹X½ k M±> ;:ķ 0ķµ0 0 ± ¼ ½\² Ÿ ² ¼ µ² Í < Î Í Í Í M œ Äk ¼ ¹X 0¹ Ê ¹1±² Á ¼ Š)œ ¼ Î Í Í Í M ¼ ¼ k 0 X M±> Ê ² ¹>² Î Í Í Í M Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;:k½ 0¹X½ k M±> ;:ķ 0ķµ0 0 ± ¼ ½\² ³: Ê ¹1±²k: ½ 0¹X½ k M±> $² ¼ ¹1±> k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :) k 0 Ê Ä 9 º ³ ¼ µ J ķ 0ķµ0 0 ± ¼ ½\² L : k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> ² ¼ ¹1±> L :r ¼ µ ¼ ½ 0 Är² r² JVÊ ¹1±² L : J JVÊ ¹1±² ƒķ 0ķµ0 0 ± ¼ ½\² L JVÊ ¹1±² ƒ½ 0¹X½ k M±> $² ¼ ¹1±> L L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í Ÿ ² ¼ µ² Í C Š)œ ¼ Î Í Í Í M Í

23 Á ¼ Š ¼ Î Í Í Í M Š M±> r² ½ ² ² Ê$º Î Í Í Í M Ë ¼ ±> ½ 0¹X½ k M±> ;: Ê ¹1±² ½ 0¹X½ k M±> ½ 0¹X½ k M±> Ê ¹1±² Á ² ±> 0Ä Æ 0¹ Î Í Í Í M Ÿ ² ¼ µ² H Ž Š ¼ Î Í Í Í M µ² X ¼ ½ Á ¼ Î Í Í Í Í ¼ Á ³ ¼ ¹ Ê ¹1±² ¼ Á ³ ¼ Ê ¹1±²À k ½ 0¹X½ k M±> Š)œ ¼ Î Í Í Í Í Š ¼ Î Í Í Í Í Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> Ê ¹1±²k:k½ 0¹X½ k M±> Ÿ ² ¼ µ² H Î Í Í Í Í ¼ Á ³ ¼ ¹ Ê ¹1±² Á ¼ Š)œ ¼ Î Í Í Í Í ¼ ¼ k 0 X M±> Ê ² ¹>²À¹ ¼ Á ³ ¼ ¹ Ê ¹1±² Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;:k½ 0¹X½ k M±> ;: Ê ¹1±² k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :) ¼ µ ¼ ½ 0 Är² r² JVÊ ¹1±² L : JVÊ ¹1±² ½ 0¹X½ k M±> L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í Ÿ ² ¼ µ² H Í Š)œ ¼ Î Í Í Í Í Á ¼ Š ¼ Î Í Í Í Í Š M±> r² ½ ² ² Ê$º $¹ ¼ Á ³ ¼ ¹ Ê ¹1±² Ë ¼ ±> ½ 0¹X½ k M±> ;: Ê ¹1±² ½ 0¹X½ k M±> ½ 0¹X½ k M±> Ê ¹1±² Á ² ±> 0Ä Æ 0¹ Î Í Í Í Í Ÿ ² ¼ µ² HH Š ¼ Î Í Í Í Í Í Í

24 µ² X ¼ Ÿ ² ¹ ¼ Èv² Á ¼ Ÿ Í Í Í H k M±² ¹ Ê ¹1±² k M±² Ê ¹X Ê ¹X ¼ r² ¼ $ r² Ê ¹1±² Š)œ ¼ Î Í Í Í Í Š ¼ Ÿ Í Í Í H ½ ¼ > Š k ±² ¹ ¼ Èv² Ÿ Í Í Í H M : Ÿ Í Í Í H Í Ÿ ² ¼ µ² H k Ÿ Í Í Í H k M±² ¹ Ê ¹1±² Á ¼ Š ¼ Ÿ Í Í Í H Š M±> r² ½ ² ² Ê$º ¼ k M±² ¹ Ê ¹1±² Ë ¼ ±> ½ 0¹X½ k M±> ;: Ê ¹1±² k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :) k 0 Ê Ä 9 º ³ ¼ µ JVÊ ¹1±² L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í H ¹ Ÿ Í Í Í H Í Ÿ ² ¼ µ² HGB) Š ¼ Ÿ Í Í Í H µ² X ¼ Ÿ ² ¹ ¼ Èv² Á ¼ Ÿ Í Í Í H M k M±² ¹ Ê ¹1±² 7 Á² ±>¹X k M±² Ê ¹1±²À k À±> Ê ÀÁ² ±>¹X Š)œ ¼ Î Í Í Í Í Š ¼ Ÿ Í Í Í H M ½ ¼ Î Í Í Í H M M : Î Í Í Í H M Í Š k ±² ¹ ¼ Èv² > Ÿ ² ¼ µ² H É Ÿ Í Í Í H M k M±² ¹ Ê ¹1±² 7 Á² ±>¹X Á ¼ Š ¼ Ÿ Í Í Í H M Š M±> r² ½ ² ² Ê$º ¼ k M±² ¹ Ê ¹1±² 7 Á² ±>¹X Ë ¼ ±> Ê ¹1±² k 0 Ê Ä 9 º ³ ¼ µ JVÊ ¹1±² L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í H Ÿ ² ¼ µ² HGF) Š ¼ Ÿ Í Í Í H M Í H

25 µ² X ¼ ½ Á ¼ Î Í Í Í H M M ¼ räk 0¹ Äk Á ¼ ¼ rä ¼ Äk Á ¼ r² Ê ¹1±² Š)œ ¼ Î Í Í Í H M M Š ¼ Î Í Í Í H M M Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½\² ¼ ± Äk Á ¼ Ÿ ² ¼ µ² H < Î Í Í Í H M M ¼ räk 0¹ Äk Á ¼ Á ¼ Š)œ ¼ Î Í Í Í H M M ¼ ¼ k 0 X M±> Ê ² ¹>²À ¼ räk 0¹$Äk Á ¼ r² Ê ¹1±² Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;:k½\² ¼ ± Äk Á ¼ k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : k 0 Ê Ä 9 º ³ ¼ µ J ½\² ¼ ± Äk Á ¼ L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í H M Ÿ ² ¼ µ² HC Š)œ ¼ Î Í Í Í H M M Á ¼ Š ¼ Î Í Í Í H M M Š M±> r² ½ ² ² Ê$º $ ¼ räk 0¹$Äk Á ¼ r² Ê ¹1±² Ë ¼ ±> ½\² ¼ ± Äk Á ¼ k 0 Ê Ä 9 º ³ ¼ µ J ½\² ¼ ± Äk Á ¼ L : Ê ¹ ¼¼ Äk½Ìk 0 r² J ½\² ¼ ± Äk Á ¼ L Á ² ±> 0Ä Æ 0¹ Î Í Í Í H M M Ÿ ² ¼ µ² Ž Š ¼ Î Í Í Í H M M µ² X ¼ ½ Á ¼ Î Í Í Í H M Í ¼ räk 0¹ Á² ±>¹X ¼ rä ¼ Á² ±>¹X 6 r² Ê ¹1±² Š)œ ¼ Î Í Í Í H M Í Š ¼ Î Í Í Í H M Í Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> Æ ¹X 0 Á² ±>¹X Ÿ ² ¼ µ² k Î Í Í Í H M Í ¼ räk 0¹ Á² ±>¹X Í

26 Á ¼ Š)œ ¼ Î Í Í Í H M Í ¼ ¼ k 0 X M±> Ê ² ¹>²À ¼ räk 0¹$Á² ±>¹X 6 r² Ê ¹1±² Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;: Æ ¹X 0 Á² ±>¹X k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : k 0 Ê Ä 9 º ³ ¼ µ J Æ ¹X 0 Á² ±>¹X L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í H M Ÿ ² ¼ µ² Í Š)œ ¼ Î Í Í Í H M Í Á ¼ Š ¼ Î Í Í Í H M Í Š M±> r² ½ ² ² Ê$º $ ¼ räk 0¹$Á² ±>¹X 6 r² Ê ¹1±² Ë ¼ ±> Æ ¹X 0 Á² ±>¹X k 0 Ê Ä 9 º ³ ¼ µ J Æ ¹X 0 Á² ±>¹X L : Ê ¹ ¼¼ Äk½Ìk 0 r² J Æ ¹X 0 Á² ±>¹X L Á ² ±> 0Ä Æ 0¹ Î Í Í Í H M Í Ÿ ² ¼ µ² GH Š ¼ Î Í Í Í H M Í µ² X ¼ Ÿ ² ¹ ¼ Èv² Á ¼ Ÿ Í Í Í H Í k M±² ¹ Ê ¹1±² Ê ² ¹>² Á ¼ ±>¹X \² r² k M±² Ê ¹1±²À k À±> Ê Ê ² ¹>² Á ¼ ±>¹X \² r² Š)œ ¼ Î Í Í Í Í Š ¼ Ÿ Í Í Í H Í ½ ¼ Î Í Í Í H Í M : Î Í Í Í H Í Í : Î Í Í Í H Í H Š k ±² ¹ ¼ Èv² Ÿ ² ¼ µ² k Ÿ Í Í Í H Í k M±² ¹ Ê ¹1±² Ê ² ¹>² Á ¼ ±>¹X \² r² Á ¼ Š ¼ Ÿ Í Í Í H Í Š M±> r² ½ ² ² Ê$º ¼ k M±² ¹ Ê ¹1±² Ê ² ¹>² Á ¼ ±>¹X \² r² Ë ¼ ±> Ê ¹1±² k 0 Ê Ä 9 º ³ ¼ µ JVÊ ¹1±² L Á ² ±> 0Ä Æ 0¹ Î Í Í Í H Í M ¼ Œ Î Í Í Í H Í Íª¼ Œ Î Í Í Í H Í H Ÿ ² ¼ µ² ^B) Š ¼ Ÿ Í Í Í H Í Í B

27 µ² X ¼ ½ Á ¼ Î Í Í Í H Í M ¼ räk 0¹ Äk Á ¼ 1±²² ½ ¼ º 0 ¼ Á ² Î Í Í Í H M M Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> Ÿ ² ¼ µ² É Î Í Í Í H Í M ¼ räk 0¹ Äk Á ¼ µ² X ¼ ½ Á ¼ Î Í Í Í H Í Í ¼ räk 0¹ ² Ä Æ kµ0 ¼ rä ¼ ² Ä Æ kµ0 Ê ² ¹>²À ¼ räk 0¹ Ê ¹1±² Š)œ ¼ Î Í Í Í H Í Í Š ¼ Î Í Í Í H Í Í Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½\² ¼ ± ² Ä Æ kµ0 Ÿ ² ¼ µ² ^F) Î Í Í Í H Í Í ¼ räk 0¹ ² Ä Æ kµ0 Á ¼ Š)œ ¼ Î Í Í Í H Í Í ¼ ¼ k 0 X M±> Ê ² ¹>²À ¼ räk ½ ² k ² Ä Æ kµ0 Ë ¼ ±> k X ² ¹X 0 ;:k½\² º ¼ ± ² Ä Æ kµ0 :ká k ¼ :± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J ½\² ¼ ± ² Ä Æ kµ0 L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í H Í Ÿ ² ¼ µ² < Š)œ ¼ Î Í Í Í H Í Í Á ¼ Š ¼ Î Í Í Í H Í Í Š M±> r² ½ ² ² Ê$º $ ¼ räk ½ ² ¼ ² Ä Æ kµ0 Ë ¼ ±> ½\² ¼ ± ² Ä Æ kµ0 k 0 Ê Ä 9 º ³ ¼ µ J ½\² ¼ ± ² Ä Æ kµ0 L : Ê ¹ ¼¼ Äk½Ìk 0 r² J ½\² ¼ ± ² Ä Æ kµ0 L Á ² ±> 0Ä Æ 0¹ Î Í Í Í H Í Í Ÿ ² ¼ µ² GC Š ¼ Î Í Í Í H Í Í Í É

28 µ² X ¼ ½ Á ¼ Î Í Í Í H Í H ¼ räk 0¹ ³ ¼ ±> ¹ ¼ rä ¼ ³ ¼ ±> ¹ Ê ² ¹>²À ¼ räk 0¹ Ê ¹1±² Š)œ ¼ Î Í Í Í H Í H Š ¼ Î Í Í Í H Í H Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½\² ¼ ± ³ ¼ ±> ¹ Ÿ ² ¼ µ² B Ž Î Í Í Í H Í H ¼ räk 0¹ ³ ¼ ±> ¹ Á ¼ Š)œ ¼ Î Í Í Í H Í H ¼ ¼ k 0 X M±> Ê ² ¹>²À ¼ räk 0¹ ³ ¼ ±> ¹ Ë ¼ ±> k X ² ¹X 0 ;:k½\² º ¼ ± ³ ¼ ±> ¹ :5Á k ¼ :± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J ½\² ¼ ± ³ ¼ ±> ¹ L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í H Í Ÿ ² ¼ µ² B) Š)œ ¼ Î Í Í Í H Í H Á ¼ Š ¼ Î Í Í Í H Í H Š M±> r² ½ ² ² Ê$º $ ¼ räk ½ ² k À³ ¼ ±> ¹ Ë ¼ ±> ½\² ¼ ± ³ ¼ ±> ¹ k 0 Ê Ä 9 º ³ ¼ µ J ½\² ¼ ± ³ ¼ ±> ¹ L : Ê ¹ ¼¼ Äk½Ìk 0 r² J ½\² ¼ ± ³ ¼ ±> ¹ L Á ² ±> 0Ä Æ 0¹ Î Í Í Í H Í H Ÿ ² ¼ µ² B Í Š ¼ Î Í Í Í H Í H µ² X ¼ ½ Á ¼ Î Í Í Í œ Äk ¼ ¹X 0¹ ¼ kķ M± œ Äk ¼ ¹ ¼ ¼ kķ M± J µ0 0ÄkÌr² L Äk ½ 0¹X½ k M±> Š)œ ¼ Î Í Í Í Š ¼ Î Í Í Í Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½ 0¹X½ k M±> ;:k¼ kķ M±ˆ k ½ 0¹X½ k M±> ;:Äk ³ ¼ kķ M± Ÿ ² ¼ µ² B$H Î Í Í Í œ Äk ¼ ¹X 0¹M¼ kķ M± Í F

29 Á ¼ Š)œ ¼ Î Í Í Í ¼ ¼ k 0 X M±> Ê ² ¹>²À 0Äk ¼ ¹X 0¹½¼ kķ M± Ë ¼ ±> k X ² ¹X 0 ;:k½ 0¹X½ k M±> ;:k¼ kķ M±ˆ k ½ 0¹X½ k M±> ;:käk º ³ -¼ kķ M±Q:kÁ k ¼ :k± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L :& k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :& k 0 Ê Ä 9 º ³ ¼ µ J ¼ kķ M± k ½ 0¹ 7 ½ k M±> L :k k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : ¼ µ ¼ ½ 0 Är² k J ¼ kķ M±$ k ½ 0¹X½ k M±> L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í Ÿ ² ¼ µ² B k Š)œ ¼ Î Í Í Í Á ¼ Š ¼ Î Í Í Í Š M±> r² ½ ² ² Ê$º $ 0Äk ¼ ¹X 0¹M¼ kķ M± Ë ¼ ±> k X ² ¹X 0 ;:k½ 0¹X½ k M±> ;:Äk º ³ ¼ kķ M±Q:kÁ k ¼ :k± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L :ž k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :» k 0 Ê Ä 9 º ³ ¼ µ J Äk ³ ¼ kķ M± L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : ½ 0¹X½ k M±> ½ 0¹X½ k M±> Äk ³ -¼ kķ M± Á ² ±> 0Ä Æ 0¹ Î Í Í Í Ÿ ² ¼ µ² BB) Š ¼ Î Í Í Í µ² X ¼ ½ Á ¼ Î Í Í Í B ¼ Á ³ ¼ ¹ ¼ kķ M± ¼ Á ³ ¼ ¼ kķ M± J µ0 0ÄkÌr² L k ½ 0¹X½ k M±> Š)œ ¼ Î Í Í Í B Š ¼ Î Í Í Í B Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½ 0¹X½ k M±> ;:k¼ kķ M±ˆ k ½ 0¹X½ k M±> Ÿ ² ¼ µ² B É Î Í Í Í B ¼ Á ³ ¼ ¹p¼ kķ M± Í <

30 Á ¼ Š)œ ¼ Î Í Í Í B ¼ ¼ k 0 X M±> Ê ² ¹>²À¹ ¼ Á ³ ¼ ¹ ¼ kķ M±ˆ k ½ 0¹X½ k M±> Ë ¼ ±> k X ² ¹X 0 ;:k½ 0¹X½ k M±> ;:k¼ kķ M±ˆ k ½ 0¹X½ k M±> ;:ká k º ¼ :± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :) k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : ¼ µ ¼ ½ 0 Är² k J ¼ kķ M±$ k ½ 0¹X½ k M±> L : ¼ kķ M±$ k ½ 0¹X½ k M±> ½ 0¹X½ k M±> Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í Ÿ ² ¼ µ² BF) Š)œ ¼ Î Í Í Í B Á ¼ Š ¼ Î Í Í Í B Š M±> r² ½ ² ² Ê$º $¹ ¼ Á ³ ¼ ¹ ¼ kķ M±ˆ k ½ 0¹X½ k M±> Ë ¼ ±> ½ 0¹X½ k M±> ;:k¼ kķ M±ˆ k ½ 0¹X½ k M±> ½ 0¹X½ k M±> ½ 0¹X½ k M±> ¼ kķ M±$ k ½ 0¹X½ k M±> Á ² ±> 0Ä Æ 0¹ Î Í Í Í B Ÿ ² ¼ µ² B < Š ¼ Î Í Í Í B µ² X ¼ ½ Á ¼ Î Í Í Í É œ Äk ¼ ¹X 0¹$½ µ0 kär² œ Äk ¼ ¹ ¼ ½ µ0 kär²àäk ½ 0¹X½ k M±> Š)œ ¼ Î Í Í Í É Š ¼ Î Í Í Í É Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½ 0¹X½ k M±> ;:½ µ0 kär²à k ½ 0¹X½ k M±> ;:Äk ³ ²½ µ0 kär² Ÿ ² ¼ µ² B$C Î Í Í Í É œ Äk ¼ ¹X 0¹$½ µ0 kär² Á ¼ Š)œ ¼ Î Í Í Í É ¼ ¼ k 0 X M±> Ê ² ¹>²À 0Äk ¼ ¹X 0¹ ½ µ0 kär² Ë ¼ ±> k X ² ¹X 0 ;:k½ 0¹X½ k M±> ;:½ µ0 kär²à k ½ 0¹X½ k M±> ;:Äk º ³ ²½ µ0 kär²k:ká k ¼ :± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L :«k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L : k 0 Ê Ä 9 º ³ ¼ µ J ½ µ0 kär²» k ½ 0¹ 7 ½ k M±> L :k k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : ¼ µ ¼ ½ 0 Är² r² J ½ µ0 kär²ª k ½ 0¹X½ k M±> L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í Ÿ ² ¼ µ² É Ž Š)œ ¼ Î Í Í Í É Í C

31 Á ¼ Š ¼ Î Í Í Í É Š M±> r² ½ ² ² Ê$º $ 0Äk ¼ ¹X 0¹ ½ µ0 kär² Ë ¼ ±> k X ² ¹X 0 ;:k½ 0¹X½ k M±> ;:Äk º ³ ²½ µ0 kär²k:ká k ¼ :k± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L : k 0 Ê Ä 9 º ³ ¼ µ J Äk ³ ² ½ µ0 kär² L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : ½ 0¹X½ k M±> ½ 0¹X½ k M±> Äk ³ ²½ µ0 kär² Á ² ±> 0Ä Æ 0¹ Î Í Í Í É Ÿ ² ¼ µ² É Š ¼ Î Í Í Í É µ² X ¼ ½ Á ¼ Î Í Í Í F ¼ Á ³ ¼ ¹$½ µ0 kär² ¼ Á ³ ¼ ½ µ0 kär²à k ½ 0¹X½ k M±> Š)œ ¼ Î Í Í Í F Š ¼ Î Í Í Í F Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½ 0¹X½ k M±> ;:½ µ0 kär²à k ½ 0¹X½ k M±> Ÿ ² ¼ µ² É Í Î Í Í Í F ¼ Á ³ ¼ ¹$½ µ0 kär² Á ¼ Š)œ ¼ Î Í Í Í F ¼ ¼ k 0 X M±> Ê ² ¹>²À¹ ¼ Á ³ ¼ ¹$½ µ0 kär²à k ½ 0¹X½ k M±> Ë ¼ ±> k X ² ¹X 0 ;:k½ 0¹X½ k M±> ;:½ µ0 kär²à k ½ 0¹X½ k M±> ;:Á k º ¼ :k± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :) k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : ¼ µ ¼ ½ 0 Är² k J ½ µ0 kär²ª k ½ 0¹X½ k M±> L : ½ µ0 kär²à k ½ 0¹X½ k M±> ½ 0¹X½ k M±> Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í Ÿ ² ¼ µ² É H Š)œ ¼ Î Í Í Í F Á ¼ Š ¼ Î Í Í Í F Š M±> r² ½ ² ² Ê$º $¹ ¼ Á ³ ¼ ¹$½ µ0 kär²à k ½ 0¹X½ k M±> Ë ¼ ±> ½ 0¹X½ k M±> ;:½ µ0 kär²à k ½ 0¹X½ k M±> ½ 0¹X½ k M±> ½ 0¹X½ k M±> ½ µ0 kär²à k ½ 0¹X½ k M±> Á ² ±> 0Ä Æ 0¹ Î Í Í Í F Ÿ ² ¼ µ² É k Š ¼ Î Í Í Í F H Ž

32 µ² X ¼ ½ Á ¼ Î Í Í Í < œ Äk ¼ ¹X 0¹$½ ı>¹X µ ¼ œ Äk ¼ ¹ ¼ ½ ı>¹X µ ¼ Är² Ê ¹1±² Š)œ ¼ Î Í Í Í < Š ¼ Î Í Í Í < Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½ 0¹X½ k M±> ;: Ê ¹1±²k:k½ ı>¹X µ ¼ :k½ ¼ º µ0 kµ² Ÿ ² ¼ µ² É B) Î Í Í Í < œ Äk ¼ ¹X 0¹ ½ ı>¹X µ ¼ Á ¼ Š)œ ¼ Î Í Í Í < ¼ ¼ k 0 X M±> Ê ² ¹>²À 0Äk ¼ ¹X 0¹ ½ ı>¹X µ ¼ Ë ¼ ±> k X ² ¹X 0 ;:k½ 0¹X½ k M±> ;:½ µ0 kär²k:k½ º ¼ º µ0 kµ²k:ká k ¼ :± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :) k 0 Ê Ä 9 º ³ ¼ µ J ½ µ0 kär² L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : k 0 Ê Ä 9 º ³ ¼ µ J ½ ¼ º µ0 kµ² L : ³ ² ² J ½ ¼ º µ0 kµ² L :) ¼ µ ¼ ½ 0 Är² r² J ½ ¼ º µ0 kµ² L :Ä 7 ³ ² ² J ½ µ0 kär² L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í Ÿ ² ¼ µ² É É Š)œ ¼ Î Í Í Í < Á ¼ Š ¼ Î Í Í Í < Š M±> r² ½ ² ² Ê$º $ 0Äk ¼ ¹X 0¹ ½ ı>¹X µ ¼ Ë ¼ ±> k X ² ¹X 0 ;:k½ 0¹X½ k M±> ;:½ ı>¹X µ º ¼ :rá k ¼ :± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :) k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ½ ı>¹X µ ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : ½ 0¹X½ k M±> ½ 0¹X½ k M±> ½ Ä 7 ±>¹X µ ¼ Á ² ±> 0Ä Æ 0¹ Î Í Í Í < Ÿ ² ¼ µ² É F) Š ¼ Î Í Í Í < H

33 µ² X ¼ ½ Á ¼ Î Í Í Í C ¼ Á ³ ¼ ¹$½ ı>¹X µ ¼ ¼ Á ³ ¼ ½ ı>¹X µ ¼ ¼ Ê ¹1±² Š)œ ¼ Î Í Í Í C Š ¼ Î Í Í Í C Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½ 0¹X½ k M±> ;:½ ı>¹X µ ¼ Ÿ ² ¼ µ² É < Î Í Í Í C ¼ Á ³ ¼ ¹$½ ı>¹X µ ¼ Á ¼ Š)œ ¼ Î Í Í Í C ¼ ¼ k 0 X M±> Ê ² ¹>²À¹ ¼ Á ³ ¼ ¹$½ ı>¹X µ ¼ ¼ Ê ¹1±² Ë ¼ ±> k X ² ¹X 0 ;:k½ 0¹X½ k M±> ;:½ ı>¹X µ º ¼ :rá k ¼ :± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :) k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : k 0 Ê Ä 9 º ³ ¼ µ J ½ ı>¹X µ ¼ L : ¼ µ ¼ ½ 0 Är² k J ½ ı>¹X µ ¼ L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í Ÿ ² ¼ µ² É C Š)œ ¼ Î Í Í Í C Á ¼ Š ¼ Î Í Í Í C Š M±> r² ½ ² ² Ê$º $¹ ¼ Á ³ ¼ ¹$½ ı>¹X µ ¼ ¼ Ê ¹1±² Ë ¼ ±> ½ 0¹X½ k M±> ;:½ ı>¹X µ ¼ ½ 0¹X½ k M±> ½ 0¹X½ k M±> ½ ı>¹X µ ¼ Á ² ±> 0Ä Æ 0¹ Î Í Í Í C Ÿ ² ¼ µ² F Ž Š ¼ Î Í Í Í C µ² X ¼ ½ Á ¼ Î Í Í Í M Ž Æ ¹X Ê ² ¹ Ê ¹1±² Æ ¹X Ê ² Ê ¹1±² ˆ²À ¼ ¹ ¼ Á ±>¹>² ±² r² ½ Á káâ² käk 0½\² º Ê ¹1±² Š)œ ¼ Î Í Í Í M Ž Š ¼ Î Í Í Í M Ž Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½ 0¹X½ k M±> ;: Ê ¹1±² Ÿ ² ¼ µ² F) Î Í Í Í M Ž Æ ¹X Ê ² ¹ Ê ¹1±² H Í

34 Á ¼ Š)œ ¼ Î Í Í Í M Ž ¼ ¼ k 0 X M±> Ê ² ¹>²² Æ ¹X Ê ² ¹ Ê ¹1±² Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;:k½ 0¹X½ k M±> ;: Ê ¹1±² k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : ² ±> M³ J ½ 0¹X½ k M±> L : Ê ¹1±² ½ 0¹X½ k M±> ;: ² Ë ² ½ ¼ ı ¼ JVÊ ¹1±² L : ¼ µ ¼ ½ 0 7 Är² k JVÊ ¹1±² L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í Ÿ ² ¼ µ² F Í Š)œ ¼ Î Í Í Í M Ž Á ¼ Š ¼ Î Í Í Í M Ž Š M±> r² ½ ² ² Ê$º ˆ² Æ ¹X Ê ² ¹ Ê ¹1±² Ë ¼ ±> Ê ¹1±² 7 ½ 0¹X½ k M±> k 0 Ê Ä 9 º ³ ¼ µ JVÊ ¹1±² 7 ½ 0¹X½ k M±> L Á ² ±> 0Ä Æ 0¹ Î Í Í Í M Ž Ÿ ² ¼ µ² F$H Š ¼ Î Í Í Í M Ž µ² X ¼ ½ Á ¼ Î Í Í Í M ¼ >² Æ ¹X Ê ² ¹ Ê ¹1±² ¼ >² Æ ¹X Ê ² Ê ¹1±² 7 ½ 0¹X½ k M±> ¼ Á ½ 0¹X½ k M±> À½ ¹X¹ ¼ Ê Äk ¼ ı ¼ Š)œ ¼ Î Í Í Í M Š ¼ Î Í Í Í M Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> Ê ¹1±² 7 ½ 0¹X½ k M±> Ÿ ² ¼ µ² F k Î Í Í Í M ¼ >² Æ ¹X Ê ² ¹ Ê ¹1±² Á ¼ Š)œ ¼ Î Í Í Í M ¼ ¼ k 0 X M±> Ê ² ¹>²À ¼ >² Æ ¹X Ê ² ¹ Ê ¹1±² Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;:k½ 0¹X½ k M±> ;: Ê ¹1±² 7 ½ 0¹X½ k M±> k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : k 0 7 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :) ¼ µ ¼ ½ 0 Är² k JVÊ ¹1±² 7 ½ 0¹X½ k M±> L : Ê ¹1±² 7 ½ 0¹X½ k M±> ½ 0¹X½ k M±> Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í Ÿ ² ¼ µ² FB) Š)œ ¼ Î Í Í Í M HH

35 Á ¼ Š ¼ Î Í Í Í M Š M±> r² ½ ² ² Ê$º $ ¼ >² Æ ¹X Ê ² ¹ Ê ¹1±² Ë ¼ ±> ½ 0¹X½ k M±> ;: Ê ¹1±² k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L : Ê ¹1±² ½ 0¹X½ k M±> Á ² ±> 0Ä Æ 0¹ Î Í Í Í M Ÿ ² ¼ µ² F É Š ¼ Î Í Í Í M µ² X ¼ ½ Á ¼ Î Í Í Í M Í Š 0Á Ê µ0 r½\² ¹ ½ 0¹X½ k M±> Š 0Á Ê µ0 r½\²î½ 0¹X½ k M±> ;: Ê ² ¹>² ¼ µ0 0Á 0Är² ¹ X k 9½ 0¹X½ k M±> 0Ä ± º ¼ 0 Š)œ ¼ Î Í Í Í M Ž Š ¼ Î Í Í Í M Í Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½ 0¹X½ k M±> ;: Ê ¹1±² Ÿ ² ¼ µ² FF) Î Í Í Í M Í Š 0Á Ê µ0 r½\² ¹ ½ 0¹X½ k M±> Á ¼ Š ¼ Î Í Í Í M Í Š M±> r² ½ ² ² Ê$º $ X 0Á Ê µ0 r½\² ½ ² ª ¼ ½ 0¹X½ k M±> Ë ¼ ±> ½ 0¹X½ k M±> ;: Ê ¹1±² k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :) X 0Á Ê µ0 r½\² k JVÊ ¹1±² L Á ² ±> 0Ä Æ 0¹ Î Í Í Í M Í Ÿ ² ¼ µ² F < Š ¼ Î Í Í Í M Í µ² X ¼ Ÿ ² ¹ ¼ Èv² Á ¼ Ÿ Í Í Í M %H ¼ ½ Á Ê ¹ Ê ¹1±² ¼ ½ Á Ê ¼ Ê ¹1±² J X 0ı ¼ ±> \²À½ 0¹X½ k M±> L ¼ Á ½ 0¹X½ k M±> À½ ¹X¹ ¼ Ê Äk ¼ ı ¼ ² Ê ¹X 0Á² k Š)œ ¼ Î Í Í Í Í Š ¼ Ÿ Í Í Í M %H ½ ¼ Î Í Í Í M %H M : Î Í Í Í M %H Í Š k ±² ¹ ¼ Èv² > Ÿ ² ¼ µ² F$C Ÿ Í Í Í M %H ¼ ½ Á Ê ¹ Ê ¹1±² H

36 Á ¼ Š ¼ Ÿ Í Í Í M %H Š M±> r² ½ ² ² Ê$º $ ¼ ½ Á Ê ¹ Ê ¹1±² Ë ¼ ±> ½ 0¹X½ k M±> ;: Ê ¹1±²k:k½ 0¹X½ k M±> ¼ ¼ k M³ ² µ ¼ ı ¼ k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L : ½ 0¹X½ k M±> ½ 0¹X½ k M±> 7 Ê ¹1±² ½ 0¹X½ k M±> ¼ ¼ k M³ ² µ ¼ ı ¼ Á ² ±> 0Ä Æ 0¹ Î Í Í Í M %H Í Ÿ ² ¼ µ² < Ž Š ¼ Ÿ Í Í Í M %H µ² X ¼ ½ Á ¼ Î Í Í Í M %H M ¼ räk 0¹ ±> Ê ¼ ¼ ½ Á Ê X ½ ¼ rä ¼ ±> Ê À ¼ ¼ ½ Á Ê X ½ ² ²À¹ ¼ ² µ0 \² ¹ Š)œ ¼ Î Í Í Í M %H M Š ¼ Î Í Í Í M %H M Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±²z½ ı>¹X µ² r² :'½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±² Æ ¼ Ä ¼ º ¹X 0½\² Ÿ ² ¼ µ² < Î Í Í Í M %H M ¼ räk 0¹ ±> Ê ¼ ¼ ½ Á Ê X ½ Á ¼ Š)œ ¼ Î Í Í Í M %H M ¼ ¼ k 0 X M±> Ê ² ¹>²À ¼ räk 0¹ ±> Ê À ¼ ½ Á Ê X ½ Ë ¼ ±> k X ² ¹X 0 ;:&Á k º ¼ :&± ¼ ½µ² k ;:½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±² ½ ı>¹X µ² r² : ½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±² Æ ¼ Ä ¼ º ¹X 0½\² k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : k 0 7 Ê Ä 9 º ³ ¼ µ J ½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±²À½ ı>¹X µ² r² L : k 0 Ê Ä 9 º ³ ¼ µ J ½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±² Æ ¼ Ä ¼ º ¹X 0½\² L : Á² ¹X½\² r² J ½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±² Æ ¼ Ä ¼ º ¹X 0½\² L Á ² ±> 0Ä Æ 0¹ Ÿ Í Í Í M %H Ÿ ² ¼ µ² < Í Š)œ ¼ Î Í Í Í M %H M HGB

37 Á ¼ Š ¼ Î Í Í Í M %H M Š M±> r² ½ ² ² Ê$º $ ¼ räk 0¹ ±> Ê À ¼ ¼ ½ Á Ê X ½ Ë ¼ ±> ½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±²z½ ı>¹X µ² r² :'½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±² Æ ¼ Ä ¼ º ¹X 0½\² Á² ¹X½\² r² J ½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±² ½ ı>¹X µ² r² L Á² ¹ 7 ½\² r² J ½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±² Æ ¼ Ä ¼ º ¹X 0½\² L Á ² ±> 0Ä Æ 0¹ Î Í Í Í M %H M Ÿ ² ¼ µ² < H Š ¼ Î Í Í Í M %H M µ² X ¼ ½ Á ¼ Î Í Í Í M %H Í ¼ ² µ0 \² ¹ ¼ ½ Á Ê X ½ ¼ ½ Á Ê ¼ Ê ¹1±² ¼ Á ½ 0¹X½ k M±> ¼ ¼ k M³ ² µ ¼ ı ¼»² Ê ¹X 0Á² k Š)œ ¼ Î Í Í Í M %H Í Š ¼ Î Í Í Í M %H Í Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±²z½ ı>¹X µ² r² :'½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±² Æ ¼ Ä ¼ º ¹X 0½\² : Ê ¹1±²k:k½ 0¹X½ k M±> ¼ ¼ k M³ ² µ ¼ ı ¼ Ÿ ² ¼ µ² < k Î Í Í Í M %H Í ¼ ² µ0 \² ¹ ¼ ½ Á Ê X ½ Á ¼ Š)œ ¼ Î Í Í Í M %H Í ¼ ¼ k 0 X M±> Ê ² ¹>²À¹ ¼ ² µ0 \² ¹ ¼ ½ Á Ê X ½ ² ¼ Ê ¹1±² Ë ¼ ±> k X ² ¹X 0 ;:&Á k º ¼ :&± ¼ ½µ² k ;:½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±² ½ ı>¹X µ² r² : ½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±² Æ ¼ Ä ¼ º ¹X 0½\² : Ê ¹1±² k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L :l k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L :l k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : J Á² ¹ 7 ½\² k J ½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±²À½ ı>¹X µ² r² L Á² ¹X½\² k J ½Ì ¼ ½ 9 ¼ ½ Á Ê ¹ Ê ¹1±² Æ ¼ Ä ¼ º ¹X 0½\² L L : k 0 Ê Ä 9 º ³ ¼ µ JVÊ ¹1±² L Á ² ±> 0Ä Æ 0¹ Î Í Í Í M %H M Ÿ ² ¼ µ² < B) Š)œ ¼ Î Í Í Í M %H Í H É

38 Á ¼ Š ¼ Î Í Í Í M %H Í Š M±> r² ½ ² ² Ê$º $¹ ¼ ² µ0 \² ¹ ¼ ½ Á Ê X ½ Ë ¼ ±> ½ 0¹X½ k M±> ¼ ¼ k M³ ² µ ¼ ı ¼ k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> ¼ ¼ k M³ ² µ ¼ ı ¼ L Á ² ±> 0Ä Æ 0¹ Î Í Í Í M %H Í Ÿ ² ¼ µ² < É Š ¼ Î Í Í Í M %H Í µ² X ¼ Ÿ ² ¹ ¼ Èv² Á ¼ Ÿ Í H k M±² ¹ ½ 0¹X½ k M±> 0 1± ¼ ı ¼ ķ¹ ¼ ½ 0¹X½ k M±> ¼ Á ² ¹ ¼ k M³ ¼ ¼ k M±² Š)œ ¼ Ÿ Í H Š ¼ Ÿ Í H ½ ¼ Î Í H M Š k ±² ¹ ¼ Èv² Ÿ Í H Í Ÿ Í Í Í Ÿ ² ¼ µ² < F) Ÿ Í H k M±² ¹ ½ 0¹X½ k M±> 0 1± ¼ ı ¼ Á ¼ Š)œ ¼ Ÿ Í H ¼ ¼ k 0 X M±> Ê ² ¹>² ¼ k M±² ¹ ½ 0¹X½ k M±> 0 1± ¼ ı ¼ Ë ¼ ±> k X ² ¹X 0 ;:ká º ¼ Ä rµ ¼ :ká k ¼ :k± ¼ ½µ² k k 0 Ê Ä 9 º ³ ¼ µ J k X ² ¹X 0 º L : k 0 Ê Ä 9 º ³ ¼ µ J Á ¼ Ä rµ ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J Á k ¼ L : k 0 Ê Ä 9 º ³ ¼ µ J ± ¼ ½µ² k L : ¼ µ ¼ ½ 0 Är² k J Ê ¼ Ä L Á ² ±> 0Ä Æ 0¹ Î Í M Ÿ ² ¼ µ² << Š)œ ¼ Ÿ Í H Á ¼ Š ¼ Ÿ Í H Š M±> r² ½ ² ² Ê$º ¼ k M±² ¹ ½ 0¹X½ k M±> 0 1± ¼ ı ¼ Ë ¼ ±> ½ 0¹X½ k M±> k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :² ±> M³ J ½ 0¹X½ k M±> L Á ² ±> 0Ä Æ 0¹ Ÿ Í H Í Ÿ ² ¼ µ² < C Š ¼ Ÿ Í H HGF

39 µ² X ¼ ½ Á ¼ Î Í H M Š ¼ µ ¼ ½ 0 Är² ¹ ½ 0¹X½ k M±> Š ¼ µ ¼ ½ 0 Är²² ¹ ¼ k M³ ¼ ½ 0¹X½ k M±> ² ¼ ¹ ¼ k M±² k Š)œ ¼ Î Í H M Š ¼ Î Í H M Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ² ¹ ¼ k M³ ¼ ½ 0¹X½ k M±> Ÿ ² ¼ µ² C Ž Î Í H M Š ¼ µ ¼ ½ 0 Är² ¹ ½ 0¹X½ k M±> µ² X ¼ Ÿ ² ¹ ¼ Èv² Á ¼ Î Í H Í Ÿ Í Í Í k M±² ¹ 0¹X½ k M±> k M±²À½ 0¹X½ k M±> Š)œ ¼ Ÿ Í Í Í Š ¼ Ÿ Í Í Í ½ ¼ Î Í Í Í M : Î Í Í Í Í : Î Í Í Í : Î Í Í Í B : Î Í Í Í É : Î Í Í Í F : Î Í Í Í <k: Î Í Í Í C : Î Í Í Í M Ž : Î Í Í Í M : Î Í Í Í M Í Š k ±² ¹ ¼ Èv² Ÿ Í Í Í H : Ÿ Í Í Í M %H Ÿ ² ¼ µ² C Î Í H Í Ÿ Í Í Í k M±² ¹ 0¹X½ k M±> µ² X ¼ Ÿ ² ¹ ¼ Èv² Á ¼ Ÿ Í Š ² µm³ ² ¹ 0¹X½ k M±> Š ² µm³ ²ª½ 0¹X½ k M±> ² ±> M³ Š)œ ¼ Ÿ Í Š ¼ Ÿ Í ½ ¼ Î Í k M : Î Í k Í Š k ±² ¹ ¼ Èv² > Ÿ ² ¼ µ² C Í Ÿ Í Š ² µm³ ² ¹ 0¹X½ k M±> Á ¼ Š)œ ¼ Ÿ Í ¼ ¼ k 0 X M±> Ê ² ¹>²À >² µm³ ² ¹ ½ 0¹X½ k M±> Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;:k½ 0¹X½ k M±> k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :² ±> M³ J ½ 0¹X½ k M±> L Á ² ±> 0Ä Æ 0¹ Î Í M Ÿ ² ¼ µ² CH Š)œ ¼ Ÿ Í H <

40 Á ¼ Š ¼ Ÿ Í Š M±> r² ½ ² ² Ê$º $½ 0¹X½ k M±> ª± ¼ ¹$ X 0 k >² µm³ ² k Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;:k½ 0¹X½ k M±> k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L : 0 1± ¼ J ² ¹ ¼ k M³ ¼ ½ 0¹X½ k M±> L : ² ±> M³ J ½ 0¹X½ k M±> L Á ² ±> 0Ä Æ 0¹ Î Í k Í Ÿ ² ¼ µ² C k Š ¼ Ÿ Í µ² X ¼ ½ Á ¼ Î Í k M ¼ räk 0¹ Äk Á ¼ ¼ µ0 )½\² µh ¼ ² ¹ ¼ k M³ ¼ rä ¼ Äk Á ¼ ¼ µ0 )½\² µh Äk ¼ ² ¹ ¼ k M³ ¼ ¹ ² >² µm³ º Š)œ ¼ Î Í k M Š ¼ Î Í k M Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½ 0¹X½ k M±> ;:k² ¹ ¼ k M³ ¼ ½ 0¹X½ k M±> ;:Äk Á ¼ ¼ ² ¹ ¼ k M³ Ÿ ² ¼ µ² CGB) Î Í k M ¼ räk 0¹ Äk Á ¼ ¼ µ0 )½\² µh ¼ ² ¹ ¼ k M³ Á ¼ Š)œ ¼ Î Í k M ¼ ¼ k 0 X M±> Ê ² ¹>²À ¼ räk 0¹$Äk Á ¼ ¼ µ0 )½\² µh ¼ ² ¹ ¼ k M³ Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;:k½ 0¹X½ k M±> Á ² ±> 0Ä Æ 0¹ Ÿ Í Ÿ ² ¼ µ² C É Š)œ ¼ Î Í k M Á ¼ Š ¼ Î Í k M Š M±> r² ½ ² ² Ê$º $ ¼ räk 0¹$Äk Á ¼ ¼ µ0 )½\² µh ¼ ² ¹ ¼ k M³ Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;:käk Á ¼ ¼ ² ¹ ¼ k M³ ¼ räk 0 k J Äk Á ¼ ¼ ² ¹ ¼ k M³ L Á ² ±> 0Ä Æ 0¹ Î Í k M Ÿ ² ¼ µ² CGF) Š ¼ Î Í k M HC

41 µ² X ¼ ½ Á ¼ Î Í k Í Š ² µm³ ² ¹$² ¹ ¼ k M³ Š ² µm³ ²ª½ 0¹X½ k M±> ¼ Á ² ¹ ¼ k M³ Š)œ ¼ Î Í k Í Š ¼ Î Í k Í Æ ¼ ı ¼ k X ² ¹X 0 º œ Äk 1±>¹X ká ¼ ı> Á k ¼ :k± ¼ ½µ² k Ë ¼ ±> ½ 0¹X½ k M±> ;:k² ¹ ¼ k M³ ¼ ½ 0¹X½ k M±> Ÿ ² ¼ µ² C < Î Í k Í Š ² µm³ ² ¹$² ¹ ¼ k M³ Á ¼ Š)œ ¼ Î Í k Í ¼ ¼ k 0 X M±> Ê ² ¹>²À >² µm³ ² ¹$² ¹ ¼ k M³ Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;:k½ 0¹X½ k M±> ;:Äk Á ¼ ¼ ² ¹ ¼ k M³ ¼ räk 0 k J Äk Á ¼ ¼ ² ¹ ¼ k M³ L :r k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L : ² ±> M³ J ½ 0¹X½ k M±> L Á ² ±> 0Ä Æ 0¹ Ÿ Í k M Ÿ ² ¼ µ² CC Š)œ ¼ Î Í k Í Á ¼ Š ¼ Î Í k Í Š M±> r² ½ ² ² Ê$º $ >² µm³ ² ¹$² ¹ ¼ k M³ Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;:r² ¹ ¼ k M³ ¼ ½ 0¹X½ k M±> 0 1± ¼ J ² ¹ ¼ k M³ ¼ ½ 0¹X½ k M±> L Á ² ±> 0Ä Æ 0¹ Î Í k Í Ÿ ² ¼ µ² Ž Ž Š ¼ Î Í k Í µ² X ¼ ½ Á ¼ Î Í B œ Á Ê ¹X 0Á 0¹ 0¹X½ k M±> œ Á Ê ¹X 0Á ¼ ½ 0¹X½ k M±> Š)œ ¼ Î Í B Š ¼ Î Í B ½ ¼ > Š k ±² ¹ ¼ Èv² > Ÿ ² ¼ µ² Ž Î Í B œ Á Ê ¹X 0Á 0¹ 0¹X½ k M±> Ž

42 Á ¼ Š)œ ¼ Î Í B ¼ ¼ k 0 X M±> Ê ² ¹>²À 0Á Ê ¹X 0Á 0¹ ½ 0¹X½ k M±> Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;:k½ 0¹X½ k M±> k 0 Ê Ä 9 º ³ ¼ µ J ½ 0¹X½ k M±> L :² ±> M³ J ½ 0¹X½ k M±> L Á ² ±> 0Ä Æ 0¹ Î Í M Ÿ ² ¼ µ² Ž Í Š)œ ¼ Î Í B Á ¼ Š ¼ Î Í B Š M±> r² ½ ² ² Ê$º $ 0Á Ê ¹X 0Á 0¹ ½ 0¹X½ k M±> Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;:k½ 0¹X½ k M±> 0Á Ê ¹ ¼ X X J ½ 0¹X½ k M±> L Á ² ±> 0Ä Æ 0¹ Î Í B Ÿ ² ¼ µ² ŽH Š ¼ Î Í B µ² X ¼ Ÿ ² ¹ ¼ Èv² Á ¼ Ÿ Í É Ä Æ k¹>² ¹$¾ ¼ ¹X¹>² Á ¼ ı² Ä Æ k¹>² Ê ½ ¼ ) $ Är²ÀÈ ¼ ¹X¹>² Á ¼ ı² Š)œ ¼ Ÿ Í É Š ¼ Ÿ Í É ½ ¼ Î Í É M : Î Í É Í : Î Í É H Š k ±² ¹ ¼ Èv² > Ÿ ² ¼ µ² Ž k Ÿ Í É Ä Æ k¹>² ¹$¾ ¼ ¹X¹>² Á ¼ ı² Á ¼ Š)œ ¼ Ÿ Í É Š M±> r² ½ ² ² ı ¼ ˆ ¼ ½ Ä Æ k¹>² ¹ È ¼ ¹X¹>² Á ¼ ı² Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;:k Ê ½ ±> Ê ;:)± ¼ kķ M±> ³: ± ½ µ0 kär² ¼ µ ¼ ½ 0 Är² k J Ê ½ ±> Ê L : Ê ¹ ¼¼ Äk½Ìk 0 k J ± ¼ kķ M±> L : Ê ¹ ¼¼ Äk½Ìk 0 k J ± ½ µ0 kär² L Á ² ±> 0Ä Æ 0¹ Î Í M Ÿ ² ¼ µ² ŽGB) Š)œ ¼ Ÿ Í É k

43 Á ¼ Š ¼ Ÿ Í É Š M±> r² ½ ² ² Ê$º $½ Ä Æ k¹>² ¹ È ¼ ¹X¹>² Á ¼ ı² Ë ¼ ±> k X ² ¹X 0 ;:ká k º ¼ :k± ¼ ½µ² k ;:k Ê ½ ±> Ê ;:)± ¼ kķ M±> ³: ± ½ µ0 kär² ¼ µ ¼ ½ 0 Är² k J Ê ½ ±> Ê L : Ê ¹ ¼¼ Äk½Ìk 0 k J ± ¼ kķ M±> L : Ê ¹ ¼¼ Äk½Ìk 0 k J ± ½ µ0 kär² L Á ² ±> 0Ä Æ 0¹ Î Í É M : Î Í É Í : Î Í É H Ÿ ² ¼ µ² Ž É Š ¼ Ÿ Í É " Ê ² ¹1±> 0¹ r²á ) ¼ µ² Æ ¼ Á r²±² ¹ ¼ Èv² ¼ r² ˆ¹ ¼Æ ¹>² ¼ ¹ Æ Ä Á 0½\² $ k M±² r² Ê ¹ ž 6œLŸ$ :5ÈV ¹>² Á Æ ¼ ¹>² k $ $ ¼Æ k 0ı ¼ ¼ k M±> ¹ ¼ Í

44 ¾ Æ k¹>² DF) 6œLŸˆ & Å ² Ä ¼ µ² Ê ¹X 0Äk½ Ê ² µ > ¼ Äk ¹X Ë ¼ ±² ¹ ¼ X 0Áª kµ² ¹ ½ 0¹X½ k M±> k >² Äk k À ª X 0Áª kµ² k ¹ GH

45 ¾ Æ k¹>² < lš6œ1š ª ¾r käk½ 0 Är² µ0 0 r² ¼ ¾ Æ k¹>² %C 6œLŸˆ & 5 ¼ ½ 0¹X½ k M±

46 ¾ Æ k¹>² Í Ž à ŠŸˆ œ3 ˆŸ$ $ ª 9 6Ê ¼ Ä ¾ Æ k¹>² Í Ã Å Ÿˆ œ3 ˆŸ$ $ ª 9Š ²\³ ¼ ² ^B

47 ¾ Æ k¹>² Í Í Ã Å Ÿˆ œ3 ˆŸ$ $ ª 5 ¹ ¼ È ¼ ¹ ¼ Äk½ ¼ ¾ Æ k¹>² Í H à ŠŸˆ œ3 ˆŸ$ $ ª 5 k M± É

48 ¾ Æ k¹>² Í k à ŠŸˆ œ3 ˆŸ$ $ ª 9Š 0Áª kµ² ±> 0 Ä ¾ Æ k¹>² Í B) à ŠŸˆ œ3 ˆŸ$ $ ª 5 ¼ X Æ Ä ½ 0¹X½ k M± ^F

49 ¾ Æ k¹>² Í É Ã Å Ÿˆ œ3 ˆŸ$ $ ª 5 ² Är² Æ ¼&Æ ² ± ¼ ˆ² Äk»µ0 0ķ¹>² ¹X ¼ ¾ Æ k¹>² Í F) 6œLŸˆ & 5 ² Är² Æ ¼ µ0 0ķ¹>² ¹X ¼ <

50 ¾ Æ k¹>² Í < à ŠŸˆ œ3 ˆŸ$ $ ª 0Äk k ¾ Æ k¹>² Í C à ŠŸˆ œ3 ˆŸ$ $ ª ¼ µ Ê GC

51 ¼Æ k 0¹ ¼ 1± ² µ0 0 1±² r² $² ± ¼ µ² k X 0Áª kµ² k ¹ ¼ Äk ¾ Æ k¹>² H Ž Å ² Ä ¼ µ² Ê ¹X 0Äk½ Ê ² µ B Ž

52 ¾ Æ k¹>² H ¼ Ä ¾ 0µ ¼ ¾ Æ k¹>² H Í ¼ Ä k M± B)

53 ¾ Æ k¹>² HH ¼ Ä Š 0Áª kµ² ±> 0 Ä ¾ Æ k¹>² H k ¼ Ä ¼ X Æ Ä ½ 0¹X½ k M± B Í

54 ¾ Æ k¹>² HGB) ¼ Ä &² ± ¼ 0ķ¹>² ¹X ¼ ¾ Æ k¹>² H É ¼ Ä 0Äk k ¾ Æ k¹>² HGF) Å ² Ä ¼ µ² ¼ 0¹X½ k M± B$H

55 ¾ Æ k¹>² H < Å ² Ä ¼ µ² ¹ ¼ È ¼ ¹ ¼ Äk½ ¼ ¾ Æ k¹>² HC Å ² Ä ¼ µ² š 0 X r² µ0 \² ±> 0 Ä! ¼ ± B

56 ¾ Æ k¹>² Ž Å ² Ä ¼ µ² š 0 X r² µ0 \² ±> 0 Ä ¼ Äk X M±#" Á² ±>¹X ¾ Æ k¹>² k Å ² Ä ¼ µ² š 0 X r² µ0 \² ±> 0 Ä 0 1±> Æ ¹>² Á BB

57 ¾ Æ k¹>² Í Å ² Ä ¼ µ² ² Är² Æ ¼&Æ ² ± ¼ ¾ Æ k¹>² GH Å ² Ä ¼ µ² ² Är² Æ ¼ µ0 0ķ¹>² ¹X ¼ B É

58 ² ¹>² ¼ ¼ ij µm³) 0Á ¼ ı> k Á k kµ0 ÈV käk½ 0 Är² µ º :9ÈV ±> 0µ0 \² k  ká Ê ¹X )½ ¼ X X X 0Á Ê µ0 r½\² k Âŗ² 7 ¼ ² k Äk ¹X )½ ¼ X X Äk r½\² k ¹X )½ ¼ X X Äk r½\² k ;: ½ ÄÈV ¹XÁ ¼ ¼ X½¹X M±> Ê ¹ ¼ µ0 )½Ì ¼ Í : ¼ Ä Æ µ0 ŗ²2² ±> M³) 0 r² ¼ «¼ ² µm±> ¼ ¼ ŗ² 2Ä 9 º ³ ¼ µ 2Á² 0 «² µm±> ˆÄ 9 º ³ ¼ µ : ± ¼ Á «½ 0½µ0 «¼ ¼ ¼ ij µ 7 ³) 0Á ¼ ı> ½ 0½µ0 ² ½ Á Ê 1±> Ê ¹I¼ r² ±>¹X Èv² ¼ lê µ² Ä ¼ Ë ² Á ¼ ı> ;: ¼ µ² 9 ¹>² ½ ² ;:½ Äk 1±>¹X ½ ¼ ±>¹>² Äk X ½ l Èv² ¼ ² Î k M³) 0 k 0 r² ¼ Á M± ¼ ¹>² ½ ¼ ³:O¼ ¼ 0 ¼ ı> r½\² Á :½\² r² káâ²k:)² µ Æ käk ² Ê ¼ ½ 7 ±> k X 0 1± ¼ Á²&² ¼ ¹ ¼ Á ½ Äk X 0 ¼ ¹>² k M± ¼ ¹>² ½ ¼ ² &½ Á Ê 1±² Ê ¹ ¼ ² ±> M³) 0 r² ¼ ³: ¼ ¼ ¼ X½¹ ¼ ³ ¼ Á ½ Á ν\² r²î² ±> M³) 0 r² ¼ ÈV ¹XÄ ¼ ½ ¼ 0ÄÈV ¹XÁ² ½ ¼ Ê ² ¹>² ±>¹>² ¹ rá :) ¼ ² ±> M³) 0 r² ¼ & ²»½ Á Ê 1±> Ê ¹² ±> M³) 0 r² ¼ & ¼ ŗ² Ä 9 º ³ ¼ µ : ±² 0 ½ Á» ¼ räk 0¹&½µ² X ¼ ¼ ¼ k ² ±>¹X 0ķ ±> ¾ Æ k¹>² Á 1±>¹>²À ká k ² Æ ¹>² Á²ι ¼ Ê ¹ ¼ ¼ ı² Äk kź²² ¹ ¼ k M± ¼ ±> k¹>²à k X 0Áª kµ² k ¹ ¼ Äk ¾ Æ k¹>² k ¹ ¼ k M± ¼ ±> k¹>²à k X 0Áª kµ² k ¹ ¼ Äk ¾ Æ k¹>² ^B Á 1±>¹>²À Á ) ¼ µ0 À½ Äk½ ¼ M±> r² µ' k X 0Áª kµ² k ¹ ¼ Äk Æ k¹>² ¼Æ k 0ı ¼ ˆÁ 1±>¹>² Á $ k ² Æ ¹>² Á² ¼ ½µ² X ¼ ¼ ½\² r² Ê ² ½ ± ¼ k X 0Áª kµ² k ¹ ¼ Äk BF

59 UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon f UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon r UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon r UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseido or UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseido for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseid for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseid ¾ Æ k¹>² ^B) ) ¼ µ0 ½ Äk½ ¼ M±> r² µ_ k X 0Áª kµ² k ¹ ¼ Äk n for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Posei n for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Pose on for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Pos on for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Pos don for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Po idon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Po circuit eidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition P eidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition P seidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition tests seidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition oseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Environment oseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Editio << create >>+Environment(circuitManager:CircuitManager,libraryManager:LibraryManager):Environment +getdefaultnumberqubits():int +setdefaultnumberqubits(defaultnumberqubits:int):void +getdefaultnumbercolumns():int +setdefaultnumbercolumns(defaultnumbercolumns:int):void addlist(command: ):void removelist(): +undo():void +redo():void +save():void +reset():void +save(numeric:string):void +getname():string +load(name:string):void mountcircuit(in:bufferedreader):void fatal(string:string):void Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Editio library Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Editi CannotRedoException Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edit << create >>+CannotRedoException():CannotRedoException n Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Ed gate SquareMatrixTemplates +getzero():matrix +getone():matrix +getbasestate(value:int,arity:int):matrix +getid():matrix +getid(arity:int):matrix +gethadamard():matrix ColumnMatrixTemplates +getzero():matrix +getone():matrix +getzeroplusone():matrix +getzerominusone():matrix +getzeroplusi():matrix +getizero():matrix +getione():matrix +getbasestate(value:int,arity:int):matrix +PARTIAL:int= 1 +STEP_BY_STEP:int= 2 +NORMAL:int= 3 simmode:int= NORMAL CannotUndoException n Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Ed << create >>+CannotUndoException():CannotUndoException on Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community E ion Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community E ¾ Æ k¹>² É ² 0Ä Ê ² ½ ² Æ ¼ ition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community ition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community dition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community dition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Communit Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Commun Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Commun Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Commu ty Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Commu ity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Comm oseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Comm y Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Com Community Edition Poseidon for UML, Community Edition Poseidon for UML, Com n for UML, Community Edition Poseidon for UML, Com n Poseidon for UML, Co Simulator << create >>+Simulator(circ:AbstractQuantumCircuit):Simulator +setcircuit(circ:abstractquantumcircuit):void +simulate():quantumstate #simulatepartial():quantumstate #simulatestepbystep():quantumstate #simulatenormal():quantumstate +simulate(column:int):quantumstate +setsimulationrange(begin:int,end:int):void +setstate(state:quantumstate):void +setsimulationmode(simulationmode:int):void +getposition():int +setcursorposition(position:int):void B <

60 ition Poseidon for dition Poseidon for UML, Community Edition P dition Poseidon for UML, Community Edition Poseidon for UML, Communit dition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseido Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Editio y Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Comm ty Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for U ity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Pos nity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community E nity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, C unity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon unity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon fo unity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon f munity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon munity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon mmunity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon mmunity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseido ommunity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseid ommunity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseid Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Posei Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Pose, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Pose, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Pos L, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Po L, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Po L, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition P ML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition P ML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition CircuitManager r UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Editio << create >>+CircuitManager():CircuitManager +getcircuitcount():int or UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Editio +addcircuit(circuit:abstractquantumcircuit):void +getcircuits():collection +setactivecircuit(circuit:abstractquantumcircuit):void for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Editi +getactivecircuit():abstractquantumcircuit ColumnNotEmptyException << create >>+ColumnNotEmptyException():ColumnNotEmptyException << create >>+ColumnNotEmptyException(arg0:String):ColumnNotEmptyException << create >>+ColumnNotEmptyException(arg0:Throwable):ColumnNotEmptyException << create >>+ColumnNotEmptyException(arg0:String,arg1:Throwable):ColumnNotEmptyException StateConversionException << create >>+StateConversionException():StateConversionException << create >>+StateConversionException(arg0:String):StateConversionException << create >>+StateConversionException(arg0:String,arg1:Throwable):StateConversionException << create >>+StateConversionException(arg0:Throwable):StateConversionException ColumnNotCreated << create >>+ColumnNotCreated():ColumnNotCreated << create >>+ColumnNotCreated(arg:String):ColumnNotCreated << create >>+ColumnNotCreated(arg:Throwable):ColumnNotCreated << create >>+ColumnNotCreated(arg:String,arg1:Throwable):ColumnNotCreated +getname():string AbstractQuantumCircuit +setname(name:string):void +setgatequbit(qubit:int,column:int):void +addgate(gate:abstractgate,qubit:int,column:int):void +removegate(column:int):void +addqubit():void +addqubit(qubit:int):void +removequbit(qubit:int):void +addcolumn():void +addcolumn(column:int):void for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edit +addcolumn(col:column):void +addcolumn(column:int,col:column):void for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edi +removecolumn(column:int):void +getqubitcount():int +getcolumncount():int n for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Ed +removecolumn():void +removequbit():void n for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community E +getgatequbit(column:int):int +getgate(column:int):abstractgate +getcolumn(index:int):column on for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community E +gettype():int +setinitialstate(qs:compositestate):void don for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community +getinitialstate():quantumstate +tostring():string QuantumStateFactory +makestate(mat:matrix):quantumstate +makepurestate(mat:matrix):purestate +makemixedstate(mat:matrix):mixedstate EmptyColumnException CompositeState << create >>+CompositeState(stateVector:Vector):CompositeState +getarity():int +tomixedstate():quantumstate +topurestate():quantumstate +getmatrix():matrix +getmatrix(inibit:int,finbit:int):matrix +getstate(inibit:int,finbit:int):quantumstate +getprevious(qb:int):int +getfollowing(qb:int):int +multiply(matrix:matrix):void QuantumState[] << create >>+EmptyColumnException():EmptyColumnException +addqubit(qs:quantumstate):void +addqubit(qs:quantumstate,position:int):void idon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community idon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community eidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Communit eidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Commun << realize >> PureState[] + initialstate seidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Commun oseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Commu oseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Commu Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Comm Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Comm Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Comm Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Com n Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Com n Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Co ion Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Co tion Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, C ition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, C ition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, dition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, dition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UM y Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UM ty Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for U ity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for U ity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for U nity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for unity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for unity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon fo unity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon f munity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon munity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon munity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon mmunity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseido ommunity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseido ommunity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseid ommunity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Posei Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Pose, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Pose, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Pos L, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Po L, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Po L, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition P ML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition P ML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community 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for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Com for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Co n Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Co unity Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, Community Edition Poseidon for UML, C << realize >> invrsqrt2:complex= invrsqrt2:complex= MixedState << create >>+MixedState():MixedState Complex.ONE.multiply(2).sqrt().inverse() << create >>+MixedState(arity:int):MixedState << create >>+MixedState(matrix:Matrix):MixedState +getarity():int +tomixedstate():quantumstate +topurestate():quantumstate +getmatrix():matrix +getmatrix(inibit:int,finbit:int):matrix +getstate(inibit:int,finbit:int):quantumstate +getprevious(qb:int):int +getfollowing(qb:int):int +multiply(matrix:matrix):void +tostring():string +equals(obj:object):boolean PureState << create >>+PureState():PureState << create >>+PureState(arity:int):PureState Complex.ONE.multiply(2).sqrt().inverse() << create >>+PureState(matrix:Matrix):PureState +getarity():int +tomixedstate():quantumstate +topurestate():quantumstate +getmatrix():matrix +getmatrix(inibit:int,finbit:int):matrix +getstate(inibit:int,finbit:int):quantumstate +getprevious(qb:int):int +getfollowing(qb:int):int +tostring():string +multiply(matrix:matrix):void +equals(obj:object):boolean QuantumCircuit << create >>+QuantumCircuit(type:int):QuantumCircuit << create >>+QuantumCircuit(type:int,qb:int,col:int):QuantumCircuit +getname():string +setname(name:string):void +setgatequbit(qubit:int,column:int):void +addgate(gate:abstractgate,qubit:int,column:int):void +removegate(column:int):void +addqubit():void +addqubit(qubit:int):void +removequbit(qubit:int):void +addcolumn():void +addcolumn(col:column):void +addcolumn(column:int):void +addcolumn(column:int,col:column):void +removecolumn(column:int):void +getqubitcount():int +getcolumncount():int +removecolumn():void +removequbit():void +getgatequbit(column:int):int +getgate(column:int):abstractgate +getcolumn(index:int):column +gettype():int +getinitialstate():quantumstate +getarity():int +setinitialstate(qs:compositestate):void +tostring():string ¾ Æ k¹>² ^F) 0¹X½ k M± Ê ² ½ ² Æ ¼ +getmatrix():matrix QuantumState +getmatrix(inibit:int,finbit:int):matrix +getstate(inibit:int,finbit:int):quantumstate +getprevious(qb:int):int +getfollowing(qb:int):int +tomixedstate():quantumstate +topurestate():quantumstate +multiply(matrix:matrix):void +equals(obj:object):boolean << realize >> << realize >> #controls:int[]= new int[0] Column << create >>+Column(nQubits:int):Column << create >>+Column(nQubits:int,newGate:AbstractGate,row:int):Column +addnqubits(n:int):void +addqubit():void +addqubit(row:int):void +removequbit(row:int):void +addcontrols(controls:int[]):void +addgate(newgate:abstractgate,row:int):void +removegate():void +removequbit():void +isempty():boolean +getgate():abstractgate +getgatequbit():int +setgatequbit(qubit:int):void +getnqubits():int +tostring():string +apply(state:quantumstate,type:int):quantumstate #applywithcontrols(state:quantumstate,type:int):quantumstate +getnextcontrolbefore(qb:int):int +getnextcontrolafter(qb:int):int << realize >> +addqubit():void +addqubit(row:int):void AbstractColumn +removequbit(row:int):void +removequbit():void +isempty():boolean +getnqubits():int +tostring():string << realize >> +apply(state:quantumstate,type:int):quantumstate GroupedColumn << create >>+GroupedColumn(cols:Vector):GroupedColumn +addqubit():void +addqubit(row:int):void +removequbit(row:int):void +removequbit():void +isempty():boolean +getnqubits():int +tostring():string +apply(state:quantumstate,type:int):quantumstate B$C

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