A limited-memory multipoint symmetric secant method for bound constrained optimization
25
0
0
Full text
(2)
(3) !" # $%& '%)(* #+,- /.0213 , , %' " (* 4 ' 567() . 849;:=<?>*@#ACB DFEHGIKJMLON. PJRQT: S UVGDFW;J?UXGDZY[\^S ] :`_ba. c 9;LTW^Jed3@#> W^9^JKYFYfG g. 84h0YiJRjk:=D5lRm nHomRm p. qsrutZvxwfy{z|v }~{Z2| 0`00 = ~{C[0 0`Z| ~{ Ff`~ `{Z- 0~bx0~| ~=) *~=MMxZ$¡£¢¤{ ¤i¥,|kMF| ~{¦b0 0C0~{ | ~= s |§{`~{Z¨ ~©0Zxx~= ¥ª ~`MMKZ©«=`M| 0 0ZZ¡¬}¬ F[^ZC`¥`x 0~®0s¯ {¦0 ~=ª¥[ ¯ZZ|~= {M§ °{Zx~=F$¡¢¤{ °0Z`~3 KF 0 0{{i±M-f~{²7Z |~T³ { 4M[Z~{0)~{xF,~{|-K `¦`M´K~{¦0¡kµu= 0 Mx´~{Z~{Z| 0{{i±[ -f`~3 ~{0°x~{0Z"¡¶~F0$³u~{Z`| 0sff{-~M`-| 0~§ `x°{ fZ ~ {)0{{i±[ -f'²)F |~"¡ }·0 { ~f`~°|K¸Z0 0~°0~ x0~f¹º{=f¸00M x~=#|{=0{FH 'Zs°x±M{`7x{~M`-| 0~"¡#»£ 00 x0~[0Z`x~x £{f0F40¼5`x~{Z0TMMx#0`0¦{4¡ ½Z{£|k~[{Z x0 x±[x CZ~=|£{FZ~=Z"¡ ¾¿=À$Á°Â wfÃt`Ä |0x| °`M Ff`~"³Ti± x0~| ~=Z³T0 0s{M{x³ ``MZ~=u0¹ºZ`~"³fkx``~"³0`~f¹º{=f¤``MZ~=Z³|°{ 0 ~`
(4) ¥[ ZZ|~=
(5) x{M{Z³{0 0K|"`~[0x0Z~`¡ ÅƤÇÉÈ0ÇÉÊÇÉËFÌbËZͤÎ
(6) Ï`кÇÉÑ ÇÉÒÓкǦËZÌKÔƤÕÏ=ÓxÖÐºÑ ÕÌfÐ*ËZͤ×ÓxкØ=ÕÑÓxкÇÉÙÊÔ ÚKÇÉÌ=Û{ËFÜ Ï`ÇÉÌ=Ý5Þ
(7) Ì=ÇÉÈiÕÖºÊÇÉÐ;ßfÔàá)âZã0äãFå Ú ÇÉÌ=Û{ËFÜ Ï`ǦÌ`Ý`Ôià|æ Õç`ÕÌè$é$ÓÖÐ"ËZÍ=кØ`Õæ ËZÖºÛ)ËZÍ`кØ=ÇÉÊ$ÓZê0кØ=ËxÖ$æHÓZÊ"ç0ËFÌ`Õæ#Ø=ÇÉëÉÕHØ=ÕTæHÓxÊ$È0ÇÉÊÇìкÇÉÌ=ÝkкØ=Õ Þ'Ì=ÇÉÈiÕÖºÊÇìÐ;ß ËxÍíuÓZÑ Ï`ǦÌ=ÓZÊ#ê=Ì=ç`ÕÖuÊê=Ï=ÏMËxÖÐkËZÍ"î|ï
(8) éTðà`é¯ñóò'ÖÓxÌfÐ7äZäôFõáºäFäõZåFöá^âF÷èHð$á^×ÓZÇÉëùø ËZëÉú=ê`Öû
(9) ÑÓxÇùè ëÉÇÉêKè ÊÕ ü ƤÕÏ[ÓÖÐºÑ ÕÌfÐCËxÍ ïkÏ=Ï=ëÉÇÉÕç¯×ÓxкØ`ÕÑÓxкÇÉÙÊÔý¸×ð íHíáóÞ'þ
(10) ýíuï
(11) ×éRÔ'Þ'Ì=ÇÉÈiÕÖºÊÇìÐ;ßeËZÍ íuÓZÑ Ï=ÇÉÌ=ÓZÊÔ*íué Ô TÖÓZÒÇÉëù è uØ=ÇÉʤÓxê`кØ=ËxÖ'æuÓZÊ'Êê=Ï=ÏMËxÖкÕçúfß é kÎ
(12) þ¤ ð 'á^Î
(13) Ï0ÐºÇ¦Ñ ÇÉÒÓкÇÉËFÌKÔ ÿ ö ÿ â|Ô"äåZöFã0äá;ôiõZöCíuÓZÑ Ï`ǦÌ=ÓZÊ
(14) à`éR î|ï'éðà`é¨ñóò'ÖÓxÌfÐkôFöxá;åF õ xá ÿ ÷Ôí þ
(15)
(16) é ÓZÌ=çî|ï
(17) ðTé"áóÞ'þ
(18) ýíuï
(19) ×éRè=ð$á^×ÓZÇÉëùø ÑÓÖкÇÉÌ=ÕÒû
(20) ÇÉÑ ÕFè ê`Ì=ÇÉÙÓZÑ Ïè ú`Ö î[ÓZÙê`ëìÐÓFç§ç0Õ5×ÓxÐºÕ Ñ Ó ÐºÇ¦ÙÓ0Ô
(21) ï'ʸÐÖºËFÌ`ËF Ñ Ó,ß
(22) î ÊÇÉÙÓ0Ô¤î[Ói×ï'îá¸í ý^ð ×Ô Þ
(23) Ì`ǦÈFÕÖºÊǦç=ÓFç3þ¤ÓZÙǦËZÌ[Óxë¤ç`Õ í Ëx Öç`ËZú[Ó0Ô í ÇÉê[ç`ÓFçÞ
(24) Ì`ÇÉÈiÕÖºÊÇìÐÓxֺǦÓñóâZöZöFöi÷Ôï#ÖºÝFÕÌfкÇÉÌ[Ó| è uØ=ÇÉʼÓxê`кØ=ËxÖ*æuÓZÊ*Êê=Ï=ÏMËxÖкÕç4úfß4 é kÎ
(25) þ¤ ð 'á Î
(26) Ï0кÇÉÑ Ç¦ÒÓxкÇÉËFÌÔ=î|ï'éðà`éªñóò'ÖÓZÌfÐ#ôZöxá;åi õ Zá ÿ ÷Ô{í þ¤ é [Ô0î|ï
(27) ðTé"áóÞ
(28) þ'ýíuï
(29) ×ébÓxÌ[ç à`ðí ß á;Þ'þí¯ñóò'ÖÓxÌfÐ ä ô xá xöFöZöi÷èHð$á^×ÓZÇÉëùø Ï`ÇÉë¦ËxÐÐÓiû
(30) ÑÓкÕFè ê=Ì=ÙËZÖè Õç`ê. .
(31)
(32) !"$#&% '" () *+*,.-/ +"01 23)4#/16587:9; < =%=#>4 +"?@4A<% +B ,C?>D% , @A<# 41<*,?B EF + +B +C$HGI3)J 9K 2"1ML=?%&%=NJPORQTS. 3 9. - '"$# U% ' ()2<% , VGXWZY [T\F]^Y [_ + H 8% +`2" 2 *,aP cb$# ?8% +>D1<*,U>4% 'U1Z6587 / %da`AZ(e?>4 ,1<*, #$0 , FQf + g0 ,h4?R18ai% '*,.-j$#T>4R2AA$#&1Z 2< ;kDS=lOFY [ \<m konpl m >4 g() *+*,6- QXqsr?JtOiY [ \@u kTvwJPvwlyx z { ' + |A# 41<*+?BN + |h4$# a} +BUA4# % >48%j ! A#>4% !$>4*<4A% !B ,C?>D% , ~|T} "T'>4 m >*,4% 4(>DAA<*! ,?}A<# 41<*,?B j>4B ,%;B >D% '"?B}>D% +$>4* BUM"?*+ 4(y%da`A 3 9~;T% '"T4% '"$#g'>4 m "T4(y% '"TBU =%bZ?% ,h4 >DA<A# >4'? ;(e4#; = *,hM +"004?"$#>4* =%=#>4 !"?}4A<% +B ,C?>D% , A# 41<*,?B} m 1<>4 =? >42"0 B ?%=? >D04#>4"0 +>4 m # ?*+ +? } b?% ,h4V>4*,044# +% 'B (e4# = *,hM +"0w3 9@3 =$V ? m 6 m ? m4 9~ +>4*!*,a m +K# ??%-4# M w BUA<*,?BU?8% >D# ,%a >4hD>D# +>D% , <>4*& +"?`2>4*+ ,% ,? m % '"? =RA# 41<*,?B} U>D# # ?2<?%=V1 2w < =%=#>4 +"? B + +B} ,C?>D% , A# 41*,?B +}>4}$}$ +?%j->6aF3 =$ m``m`"m 4 >4< # $()$# ?? j% '"$# ? +Z9~ *!*A<#>4% +$>4*HBU$% '"M ¡()4# = *,hM +"0 3 9¡>D# ,%=$#>D% ,h44~£¢T ,h4?J¤fO¥Q m B >48a BU$% '"M T =%=#2%T>@82<>4"#>D% +BUM"?*¦4(G m -/' =04#>4 ,?8%T>D%TJZ¤U +$ +"? -/ +% ' % '"}04#>4< ,?%o4(/G m >4V-/'" =¡§/? +>4¨ + o>4¨>DAA#?5" +B >D% , ¨4(&% '"}§? +>4¨4(/G~ ER>48a} cb$# ?8%3)1<2"%|# ?*+>D%=?9I->6a` j4(y2 +0H% ' + |>DA<A# ?5" +B >D% + U-j$# !"$# ?} ! # ??%A<2"1<*! +$>D% , $~©`$} m ? mDªMmm< ~ «:@% 'T>4*+044# ,% 'B ; +8%=# M2?@ +¡% ' + A<>DA$#;- >4*+ =U2 =H`2>4"#>D% +TBUM"?*+ m 1<2% % '" -;>?ai4(%=# ?>D% +"0} < =%=#>4 +8% / ,bZ$# ;()# B_% ' "? /? # ,1?@ +¨ Mm ? m<Dª"mm m6 ~¬g 2"0 '<*,aH =A?>D` +0 m 2"#A# 4A >4* + y%=/%=# ?>D% =%=#>4 +8% +H% '"| >4BU|-;>?aH% '" 82>4#>D% +T = *,h4$# ® m"4"m<4 ""~ { ' ! jBU?>4< ;% '>D%g>4>4*,044# +% 'B¯(e4#g2< =%=#>4 +? B + +B} ,C?>D% , ° p% '"R$2"# #?%()>4P + }2 ? m 2% !*g>¨ =$A>D#>D%=F +< +$>D%=4#} >6a` ¡% '>D% % ' + @ + ¡"4%@-j4# % '8-/' !*,F>48a`B 4# 4~±«²p% '< + $>4 m % 'F(>4V + ¡>D1<>4" "?>4*, 0°> ,# ?% , $³<"? +´ m/4Mm/4D (e4#R 8h45µB + !B ,C?>D% , ~¯"4#R% '< + @ ,# ?% , m +%=$#? =% +"0VA'aM +$>4*g !%=$# A<# $% >D% , >D#0 ,h4? +µ 4D ~µ©`$R>4*+ p m mj mj m 4Mm¦ ~ E4#$6h4$# m -/'"?t +t% '" 2< =%=#>4 !"?F ?>D#'¨A# M? T-/ ,% ' !F>@(>4 m % '" >4*,044# ,% 'BN' ,% >o1Z 2< m =$h4$#>4*"$-p < =%=#>4 +8% |>D# >4"? %=o% '" =/%=1g >D% + =³? 18aK% '"%=# !>4*jA +8%$~ { ' + U>4*!*,6-/ %=>?h4 +w% 'R =% *,aKA# M? U4(T>4 +0 L 2 =%U " =%=#>4 +8%gA$#g ,%=$#>D% + ~ ¶I5" + =% +0·>4*,044# +% 'B X2< =¸< cbZ$#?%p->6a` 4(¨ %=#2% +"0¥§? +>4 p()4#p% '" 82>4#>D% +BUM"?*+ $~ { '"%=#2"U§/? +>4t4(GK>4 T-?*+*I>4 H*+ +B} ,%=?M7dBU?BU4#aR¹;¢ ©t>4 ©M¬ 82>4 c7dº/$-/%= ¡>DA<A# ?5" +B >D% + |>D# % '"1Z? %|M"6-/¡>4*,%=$#<>D% ,h4? H3 =$ "m ? 9~ +%=$#? =% +"0P¢H>42 ²7dº$-g%= M7»%a8A@>DAA# 65M +B}>D% , V4(;% '"¡§/? +>4V4(&>42"0 BU?8%=? ¦>D04#>4"0 !>4 /-;>4 +"$#?R +¨ 4D ~ { '"$>4 ? +R-/' +'i% '"%=#2"§? !>4R + /h4$# a .
(33) =% *,a}4#& +}$2*,%%= BUA<2%=T>4< ,% j³< +%=7d cb$# ?>DA<A# ?5" +B >D% + + >4*+ =% +BU7 2B !"0w>D# V"4%i#>D# V !pA<#>4% +4~_«²% '"? =V$>4 =? m ,% ! @AZ ,1<*,F%=X2 =t% '" %=#2$>D%=?M7dº$-g%= >DA<A# >4' m »m -'"$# ¡?>4' =§? +>4 ¸h4?%=4# A<# `<2% + # $A<*+>4?}18a >4¡ +# ?B ?% >4*82"4% +?% m 1<2"%| !g?>4'¡4( % '"? /A# M2% j +8h4 *,h4? |>4 >4 ,% , <>4*04#>4 ,?8%&$h>4*+2<>D% , m % ' + &>4*,%=$#>D% ,h4 $>4>4*+ U1ZH +$}$ ,?8%$~|E4# $.h4$# m +R% '< + />DAA<# >4' m +(e4#B}>D% , R>D1 2"%% '"§? !>4FB >D%=# c5i41% >4 +"?P>D%T% '"$2"## ?% ,%=$#>D% , ! g"4%g2 =? i% '"o"5M%& "4~ T% '"j4% '$#'<>4 m % '"`2>4 ,7dº/$-g%= >DAA<# ?5" +B >D% , < y4(% '";§? +>4@3 =$ m 4~®0"~ m 4 9;>D# o>D1*,T%=}>4$$2B2*+>D%=o 2<'iM +¡4(I +"()4#B >D% , y~ { '? = >DAA# 65M !B >D% , & +"7 h4 *,h4U *,ai "04#>4< ,?%$hD>4*+2>D% , PA$# +%=$#>D% , m 1<2"%% '"%=#2"()2<% , P"8? T"4% ³%I-/ ,% 'U% '&# ? 2*,% !"0H82>4#>D% +&BUM"?*">4 I-?*+*>4 I- ,% '% '"g%=#27d§/? +>4 BUM"?*+ I""~ «:°% '"*!>D# 047d $>4*,R$>4 m % '" 8h4?8% , >4*/`2>4 ,7dº/$-g%= wB $% '"`< m -/'< +'°"V"4% A# ? =$# h4U =A>D# ,%a m 04?$#>D%= "? =U§? +>4t>DAA<# ?5" +B >D% , < /% '>D%H$>44%1 =%=4# ? 5`A<*! +$ ,% *,ai4# m ,(|% '"$at$>41U =%=4# ? m >4*,04$1#>4 +B >4< ,A<2*+>D% + /- ,% 'P% '"?B >D# UA# D7 ' ,1< ,% +h4?*,a 5MAZ?< ,h44~ { U6h4$# BU% '"? = ,}$2*+% ,? m *+ +B ,%=?"7dBU?BU4# a}>4*+%=$#>D% ,h4? '>?h41Z$?R"$h4?*,4A?V3 =$¡ "m m >4# $(e$#?? g% '"$#? +9~ T2"#i*+ +B} ,%=?M7dBU?BU4#a°>DA<A# >4'- +*+*g1P1<>4 =? % '"B2*,% ,A +8%} =aMB BU$%=# ! =?$>4%@>DAA#?5" +B >D% , }4(H% '"F§? !>4XB >D%=# ,5°A<# 4A =?X +s ~ { '"? =P>DAA# 65M ,7 B >D% , >D# >4t5`%=? , t4(j% ' $*+>4 +$>4*IB2*,% +AZ !% =?$>4% '"?B F3 =$R m >4°# $()$# ?? U% '"$#? +9o-/ ,% 'K% '">4"hD>48% >D04R% '>D%U% '"$a5`A*, ,%% '" =aMB BU$%=# a4( % '"U§/? +>4FB}>D%=# c5F +P>¡>D% 2"#>4*-;>?a4~ { '"$aF cb$#()# B % '" =U +8%=# `<2?F !K 44 ~ { '" !"?>} + % '>D%% '"§? !>4F>DAA<# ?5" +B >D% , P '" 2<*+i1 2<'F% '>D%% '04#>4< ,?%4( % '"`2>4"#>D% +gBUM"?*- 2*+ +8%=$# A *+>D%=g% '"04#>4 ,?8%|4(¦G>D% = B A#$h` , 2< IA +% ?~ §/.-j$h4$# m !% ' + T41ML=?% ,h4} +% H-/ ,% 't% ' =a`B}BU$%=# a m % ' BU =% ²()# ? ' i +"7 (e4#B}>D% , $>D## ,?18a% '"¡04#>4 +?%h>4*+2? + oA# ,hM +*,$04?¨ +V# ?*+?>4 +"0FA<>D# % +>4*+*+aF% '" +%=$#AZ *!>D% , # ?`2 ,# ?B ?%$~ { '"U%=?"?<aP%=P + =% >D1 +*+ ,%aR4(;% '"} =?`2"?8% +>4*| ?$>4% BU$% '"M @ + ¡6h4$# BU¨-/ ,% '% '">DAA# >4' "$h4?*,4A? + ª"m m ~¯©M +<F% '" B2*+% ,A +%& =aMB BU$%=# + =?$>48% '"?BU? >D# >D1<*,H%=@>4$$2B2<*+>D%="$0 >D% +h4$2"#h>D% 2"# +"()4#B >D% , w>4%=¨04?"$#>D%=F1$%=%=$#}§/? +>4>DAA<# ?5" +B >D% , < U% '>4f3 >6a"9 ¹;¢ © m % '"$a°³%U-j?*!*& =$# hD>D% ,h4RA<# `?<2"# ? 4(%=# ?>D% +"0¨>4% +h4R =%=#>4 !% $~E4# $.h4$# m >R B1< +>D% , V4(&% '" 1?5`7»%=#2 =%²7»#$0 , p3¹ { ¬T9H>4 L=20 >D%=}04#>4 +?%3 /¢ 9H>DA"7 A# >4'? +4# A4#>D%=? !F 2# >4*,044# ,% 'B >4*+*+6-/ H2 T%=i% >D4>4"h>48% >D04 4(;"$0 >D% ,h4 $2"# hD>D% 2"# +"()4#B >D% + ~ { '"¡4# 0 >4 ,C?>D% + 4(/% ' + A<>DA$# + >4 (e *!*,6-/ ?~ K>4*+044# ,% 'B !U 2"% *+ +}4(g% '" B >4 +V>4*,044# ,% 'B ! "? # +1Z? !©`?% , `m -/'$# 1<>4 !0 *,41<>4*| 8h4$# 04?¡% '"$D7 # ?B >D# &>4*+ =A# .h4? ~«: ©`?% , -A<# ? =?8%>T 2"17d>4*,044# ,% 'Bf% '>D%I$>412 ?o1`a % '" B >4 +@>4*,044# +% 'B¯(e4#&B +< +B ,C?>D% , -/ ,% '< + % '"H$2"## ?%;(>44~ { '"H 21"7d>4*,044# ,% '<B + 1<>4 =?¡ ¡% '"¹ { ¬f>4 /¢¸>DAA# >4'"? m >4@ ,%;>4 2BU? % '>D%&>§/? +>4@>DAA# 6587 +B >D% , i + 0 ,h4?y~ *+ !B ,%=?M7dBU?B 4# a B2<*,% ,A +8%j =aMB BU$%=# ! ?$>4%g>DAA<# ?5" +B >D% , + g +8%=# M2?i +R©`?% + ~|«²R©`?% , P-jo< + $2 & BUo +BUA*,?BU?8% >D% , i"$% >4 +*+ ?~. . . . . .
(34). .
(35) { '"i82<BU$# +$>4*# ? 2<*,% U>D# @A# ? =?8%=? +©`?% + ~° +<>4*+*,a m % '" $*!2 , >D# 0 ,h4?R +R©M?% , ~. g/y=
(36) g RI | { '";B >4 +>4*,044# ,% '<BsA<# ? =?8%=? !% '< + ¦A>DAZ$#I + >4>4% ,h47d =$%jBU$% '"M- ,% '> AZ?$ !>4* A# M?2"# &()4#|"# 4A<A< +"0H =%=#>4 +% ?~«:%|$>4*+*! I>©M2"1"7d>4*+044# ,% 'B ()4#% '"/B} + +B +C?>D% , V% '" $2"## ?%H(>44~ { '" >4*,044# ,% '<B h` + ,% T% '"} ,bZ$# ?8%T()>4? 4(% '" 1?52 +0@> =%=#>D%=$04ai% '>D%g- +*+*Z1 "? # ,1?¡1?*,6-o~ +# =%;-j"$? = BUo04?"$#>4*¦$³< ,% , < $~ T +° 4»m *,$%T2 ,hM +" % '"()?>4 ,1<*, =$%HQs !%=@ + )L= +8%g(>4? m >4 (e *+*+6-/ $~"4# >4*+*yY r S S$z$z$z.S IS S$z$z$z6S x m -o"$³" S. "!qsr?JPORQ u J$# qk%# ,('&|OYS|J(#yql(# ,($ )&|OY<SIk%#nwJ$#nwl$#t4% '"$# -/ + Dx z { '" $*, 2# H4( ! + /"?"4%=?i1`a+* ! ~|¦$% ! "?"4%= % 'o B >4*+*+? =%&*+ +"?>D#gB >4< ,(e *! % '>D%| 8% >4 + "! m >4-, !&"?"4%=g% 'g 2"1< =A>4&41% >4 +"?1`a% 'gA<>D#>4*+*+?*8%=#>4 *+>D% , 4(& "! ~|"4#1# $hM ,%a m/.10 GI3)J9j- +*+*Z1T$>4*!*,?3254(687:9<; 2>=57@?A4$6~ 2B +0% '>D%JOBC! m % '"¡4# % '"404 >4*jA# L=?% , 4( .10 GI3)J 9T D, U ! -/ +*!*I1 $>4*+*,?E7F4$6G?A;%4$25HI254(687:9<; 2>=57@?A4$ 6 >4@"?"4%=?¡18aJ5 ! 3)J 9~ { '" KALNMPO>OQ?R=-2<4(687S9>;T2U=57V?W4(6 3 =$ 4Mm4 9XJ>Y;3)J9; ! g"$³<"?@()4#gJPORQ >4 g() *+*,.-/ Z[ ._^W^abd` c 3)J 9S¥ +(NJ(¦# qpkA_# >4 ^W^abd` c 3)J9;n ª S \ J Y 3)J9 # q [] . ^W^abd` c 3)J 9S¥ +(NJ(¦# ql$_# >4 ^W^ebd` c 3)J 9gf ª S 4% '$# -/ + =DS ª S -/'"$# E@ k%I # nw©MJ$ +# & nwq J l$Y # ~ 3)JS$z$9iz$hjz6S I , ~! m §/-jo$# 4 1< =²$4# % h4'" $#% -/'<>D + =% K +$*+2<"? m +A>D# % +$2*+>D# m % '"P$>4 m -/'"? J ! 3)J 9ihBJ>&Y 3)J9z kº/4?%=4%=% '>DJ5%o&l 3)JXJ9&OqjQNJ< + ! H3)J>R9C m% >DJ % Y , 3)J>D9# ~TatAU +$8>4%H*+*4% ('"A<# 4h41<?*,?%=B4#3J<&l 9 3)J ,(j9n>4O$; ¨MTod ?Kd6G*,?Rat=p ,(i2<4(J<68gl 7S9>3);TJ2U9H=57Vq ?W4(ª 6 ~~ «:°04?"$#>4* m % '"B}>DAA< +"0pJ<l;3)J 9 + U"4%U 8% +82 2 m $h4$# % '"?*,? m ,(J ¤ ] Jp>4 J5&l 3)J¢T¤4 ,9h4?] ªMJm ¤ % m '% +'" &V +BU©MA2"*+1 ,?7d >4*,% 04'4>D#%n ,% J<'&l B 3)J# 9$% q 2"#ª < }3 =$JZ¤AqC r m 9>4~ <p ,%¡ + ¡>4 2BU?p%=w'>?h4t% '" (e *+*+6-/ +0A<# 4A$# % ,? $~ susyx tw/vv&«:GI(3)JZJ ¤A¤ qCOzr 9;C!npH% GI'3)?Ji¤9J ~ ¤WqCr O "!* D~ s|{&v «:(|r?JZ¤S=JZ¤WqCr S=JZ¤Wq .} S$z$z$z!xy~ ! + &> =$%&4( +"³ ,%=?*,a B >48ai ,%=$#>D%=? &04?$#>D%=?R>4*+* 18a@% '"©M21"7d>4*,044# ,% '<B m % '"? J< ! 3)J ¤ 9] ª ~ . . . .
(37) ¹?*,6--/A# ? ?%j 2"#jB >4 ! BUM"?*<>4*,044# ,% 'Bi~ { '" =a`B1 *;-/ +*+*"?"4%=/% '" ¶|2$*+ !"?>4}h4?%=4#"4#B¯% '"# 2"0 ' 2"%j% 'A>DAZ$# m >4*,% ' 2"0 '@ +B}>4a¡$>4 =? m >48a}4% '"$# "4#B£$>4R1ZH2 ? + =%=?>4y~. # x vVtwvb twv J<l. 2BU% '>D%
(38) J OQN + >4K>D# 1< ,%=#>D#at ! ,% +>4*A +8% m Os3 ª S 9 m n \ v n m|ª ! n " \ # v "$ n >4&%°O´3 ª S 9~K¦$% ¡1% '" ª )( >4 % '<>D% % >4 +< T% '" $2"# # ?8%H ,%=$#>D%=UJ ¤ ~ { '"U"$-± ,%=$#>D%=UJ ¤ ! H BUA<2"%=?>4 (e *+*+6-/ $~ '()+* ©`%=4AR +, ( g3)J ¤ 9 ;q ª 3)J ¤ + &>} =% >D% , >D# a¡A +8%9~I«(. xv J Y WqCr. #. "! WqCr. b. J>Y&3)J¤49 J<lg3)J ¤ 9.-. S. 3 9. WqCr b bb GI3)J ¤ 60J Y 3)J ¤ 9=9;vXGI3)J ¤ 9 . %70, J Y 3)J ¤ 9 } 3 9 =$%80 ¤ q90 m J¤WqCrjqJZ¤g &0 ¤ J Y 3)J¤49;>4³< + '¡% '";:87»% 'R ,%=$#>D% + ~|¶|*! = m '"` = "$-µhD>4*+2"H()4#20(e# B£% '" +8%=$# h>4*j "# \ 0S<"$ 0 >4# $A?>D%g%=? =%3 9~ b { '"T0 *,41<>4* 8h4$# 04? % '$4# a}()4#&% ' + >4*,044# ,% '<B·04?$#>4*+ ,C$? ;% '"T "T0 ,h4?i ! ® ()4#/82<>4"#>D% +HB ! +B ,C?>D% + ~ >4 2BUU% '>D% 0 GI3)J9 >D% + ³? H% '" ,A< ' ,%=CU ,% + WH% '"$# U5" + =% >= f ª 2'% '>D% 0 GI3 ?"9 .30 GI3)J9/v6=>/? . J@?SBAJS<?¡OFQTz X#. % '"? BUA<2%= J ¤ D> %©`%=$A `m ?*+ =o BUA2"%=HJ ¤ 2 +0% '©M2"1"7d>4*+044# ,% 'Bi~ '()+* ;'"` = ¤ ¸ O \ S/ ~P¦$%10 1 }% '¡B >5" +B2B hD>4*+2"4(20 m (e4# -/' +'@J ¤ &0 3)J ¤ 9;ORH Q ~j©`$%30qB +Zr ¤ S405$ x ~«:(. { ' + & +B A<*+ ,? j% '>D%. / 0. . JE . =. . }. /? F J S AJ¦S<?@OQTz §/$# >4i1?*,6- m CHG<S4IJE;"?4%=? g% '"o $>4*+>D#gA# M2%KG7LIT +iY [T\<~ y$%/2< &A# .h4 0 *,41<>4*y 8h4$# 04?()4# *+044# ,% 'B ~ ~ GI3 ?9vXGI3)J9 DC. GI3)J9S<?. 3 9. 7 y2 %6@2>6878M54'x 25;vVtwyv ONM<7FH 4(9U6(M5;%^W78M56 ;g7L R!O$; M7SNbWTVU H:?J7RdW3XXceU]?WfHFH T =UH? Y4'?=Z254'=?[<?A;]\yH 7VR786$ONM57 4(6iM_^7 6 W7 6G?W;T2<6G?W g; MdM gk h q¸rO:iOiY i u J>Y&3)J ¤ 9]j J l 3)J ¤ 9 x z. 3Q M )N
(39) O)P W `W a\ g _^JT ?4%=. -. A<h # 6h4U% '>D%o% '" >4*,044# ,% '<B + T-j?*!*I"$³<"? m +%T ! H 2"}$ ,?8%T%=R '".-±% '>D% m (e4# >4*+* { :iO m ,% , 3 9 + ; >D% ! =³?i>D()%=$#/>³< ,%=T82<Bo1$#;4(#?2% , 4(0~«²"$? m .
(40) (e4#/>4*!* 0. -. ªMm (e# B. 3 9;-o'>6h4. J Y 3)J ¤ 9=9;vXGI3)J ¤ 9 . 0, J Y 3)J ¤ 9 } 0 } = J Y 3)J ¤ 9 } z ~ { '"$# $()4# m % 'o"$-s +%=$#>D%= + g-j?*+* { ' + / +BUA<*+ +? j% '<>D%3 9/'" *+ &()4#80°v } r GI3)J ¤ 60. . "$³<"? ~ E4#$6h4$# m % '"jhD>4*+2"j4( 0i>4$$A%=?U>D%|©`%=$A 4( *+044# ,% 'B ~ + y1 2? 1?*,618a 3 %89 0PqB} +Zr \ S " \ x ª z = §/? m >D%©`%=$A -jo'<>?h4 GI3)J ¤ 9. WqCr. . X# |f. #. *. . GI3)J W¤ qCr 9 - % 0 * J5lg3)J ¤ 9 } z. ©M +GI3)J ¤ 9gvGI3)J h ¤ 9;()4#>4*!* :ROtY i 3 9& +BUA*+ ,? j% '>D%g? ,% '"$# ! &³< ,%=T4#. 3 9. >4<F !GI3)J9g + g1 2<"?@1?*,6-¸ FQ m. J5l&3)J ¤ 9 } n z 3 9 ¤ h «:R% '"o +"³ ,%=H$>4 = m 3 9& +BUA*+ ,? % '>D%J<l&3)J ¤ 9|] ª ()4#8:iO ~ ?82"?8% *,a m $h4$#a *+ +B ,%Ah +8%&4(|r?JZ¤ x ¤ + />U =% >D% , >D# a@A +8%$~ «( + ³<< ,%= m % '$# }5" + =% ;: OpY i >4>R(>4- ! 2'% '>D%oJZ¤tO ! ()4#>4*+* : : ~ { '"$# $()4# m J ¤WqCr + g B A<2"%=?i1`a% '©M2"1"7d>4*+044# ,% 'B¯()4#/>4*+* : : ~ { '"? m - % '¡A<# 4A$# %da `m *+ +B ! 18aV J 3)J¤49}q ª ~¹;2"% m ()4#U>4*+*$: : m !"- ?82<>4*+ ,%da3 9 ¤ "8? "4%' *+ ~§?¡*+ +B ¤ J5gl 3)J ¤ 9q ª ~ o1$()4# m % '< + BU?>4 % '>D% $h4$#a *+ +B ,%A +8%&4(|r?JZ¤ x ! g =% >D% , >D#a4~ ¬g?$>4*+*% '>D%% '"g =% >D% + >D# aA +% 4(Z 2"#A<# 41<*,?B´>D# g'>D#>4%=$# +C$?}1`a|J<& l 3)J9q ª ~/«:(IJt ! />¡ =% >D% , >D# aRAZ !% m 2'F% '>D%J(#qµkA#/3)4#TJ(#qfl$# 9g>4 ^a` q ªMm -$>4*+* % ' + yA +8%X=U?G9 ?W4'?A; 2<6G? ~«²o% '|() *+*,6- +"0&% '"$4# ?Bs-jA#6h4% '>D% m ,(""$^d04bd?c "$#>D%=A +% " "4%&5" + =% m % '" >4*,044# ,% 'B¥ +"?8% ,³? ;% '"H>4% ,h4 =%=#>4 +8% g>D%g% 'T*! +B ,%A +% & !.
(41).
(42). . . . >U³< ,%=H`2B1Z$#&4(I ,%=$#>D% , $~. LAM5;?A254 H H 6 LN?W; ? x v? x>v7 3A6 M5; z?RM 5u?W?u; n6 L25H2<HI616 2<LNHF?yH H 6 7 LN?p786%256@ON4$2<M<=z687F7V4(M56 LN4$6 ?A25;; M ?-|? ON6 <LNM<7? 7F%4(6 d6 ? (M ?W4$KP? 25;w?uKA4$LERM5?W64$LHSM5=U2<4 ?G6 9 9 ?W4'6@My?A; "!2<6G? ! N g; MdM %=$#B +>D%=? + >&³ ,%=`2Bo1$#y4(" ,%=$#>D% , $~y$%2< A# .h4|³# % % '>D%©`%=$A $>4"4%1 5`?$2"%=?U !"³< ,%=?*+aB >48aH% +BU? $~ 2BU m 1`a %=#>4 +% , m % '>D%% '"; ,%=$#>D%=J¤WqC r + BUA<2"%=?F>D%©`%=$A >D% +"³< +%=?*,a}B >48a¡ +%=$#>D% , $~ { '"?@% '"$# o5M + % g> =%=#>4 +%. Q W4WPR W ]\ W _^ ceU]f T M )N
(43) O)P Z W WY sr S S$z$z$zDS x VW W : t O Y i W I Z J. ¤ O ^ : : T [ 4Z VR W _^ W or?J ¤ x b 7T g _^J T 5"$*+2()# B 2# +"$#>D% , t% '"U%=# ,hM +>4*$>4 = m -/'"? ,* 044# ,% 'B ~ . .
(44) (# %#. -/' +'K ! >D1>4" "?w +³< ,%=?*,aB >48a¨% !BU? $~¨ ,% '" 2%*+ 4(/04h ?"$#>4*! ,%da m >4 2BU % '>D%T% ' + / < =%=#>4 +8% ! gJ qµk m ~®4~/% '$# 5" + =% >4P +"³< +%=o =$% 4(% '" ,%=$#>D% , 82B1$#, :i 2<'i% '>D% J ¤ qpk :SVJ ¤ °k :S 3 9 G 3)J ¤ 9n ª S 3 9 J. # %# #AqCr f A# (#. WqCr. # %#. >4KJ¤ + BUA<2%=?1`a©`%=$A ~ty$%J N 1Z¡>F*! +B ,% A +8%o4( r?J¤x ¤
(45) ~t¹a { '"$4# ?B ~ m J N + > =% >D% + >D# atA +%$~"# B 3 9 >4X3 9 m -j¡'>?h4J N qNk &>4 3)J N 9 v ª ~P¹;2"% + J N + =% >D% , >D# a m 3)J N 9 ª ~P§/?¡J N + "$04?"$#>D%= m -/' +'K 8%=#>4 !% % '"% '$4# ?B >4 2B A% , ~ { '`2 m -¡A<# 6h4?°% '>D%% '"$#¡5" + =% : OY i >4<¨Y _r S S$z$z$z.S x@ 2'¨% '>D%oJZ¤FO ()4#>4*!*@: : ~ { '< + H +BUA<*! ,? % '>D%TJ ¤ + BUA<2%=?R1`a% '" ©M2"1"7d>4*+044# ,% 'B (e4#H>4*+*: : ~ { '"? m >4$4# !"0}%= - % '" A# 4A$# %a `m 83)J¤49I] ª ~|¹a@ % +`2 ,%a m % ' + g0 ,h4? . W^ ^abd` c. 3 WqCr 5J !. d^ ^abd` c. . D"!. (# 3)J 9Iq ª (e4#o>4*!* & 2't% '>D% &.O° j YR>4 &`O° j Y~©M +<J + " $04?"$#>D%= m % '< + H +BUA<*! ,? % '>D%&kA#nJ # nwl(#:~ { '$# $(e4# m J O"!D~ UR ¸²U | d& J. G. N. N. N. . N. . . . *,044# ,% 'B ~ m -/' !' + A# ? =?8%=?1Z?*+6- m + ";4(% '";A +1<*,| +B A<*,?BU?8% >D% , 4( % '"T©M21"7d>4*,044# ,% '<B m -/' !'} ! 2 =?¡>D%;©`%=$A 4( *,044# +% 'B ~ (e4#% '"B} + +B +C?>D% , -/ ,% ' +F>¡0 ,h4?t()>4 4~¢T ,h4?tJ ¤ O i3)% '>D%ThM , *+>D%=? 3 9=9 m >@ =aMB BU$%=# !§? +>4 >DAA# 65M +B}>D% , ¤OY [T \ 8\U>4@>%=#2 =%# $0 , ¡#>4 !2
(46) ¤ m *,044# ,% 'B ~ 04?"$#>D%=? J ¤ O ~¬g?$>4*!* % '>D%% '"(>4 '<>4"04? ! *+044# ,% 'B ~ m -'"?HJ ¤ O D~ { ° +BUA*+ ,()a¨% '"t"4% >D% , m 2"AA =% '<>D%% '"P(>4 F ! % '"t +8%=$# ,4#}4(QT~ { ' 5`%=? , P%=>04?$#>4* + =%=#>4 ,0 '8%=()4# ->D# ~H«: *,044# ,% '<B ~ m % ' g¢¯B $% '"` + g>DAA<*! ,?¡%= % '"o`2>4"#>D% ! 2"1A# 41*,?B. WqCr C!*. "!. "!. C!. 3C!. ER ! +B ,C$ 3 9. . E"!. . WqCr "!* . C!. 0. C¦S ¤ E 9C GI3)J ¤ 9SEz. 3 9. ¦ ,4o !V »m % '"H# $0 2<*+>D# g¢ +%=$#>D% , g>D#o +8%=$# #2"A%=? m -'"?@% '"o %=#>4 +8% . F. . . v ¤ S kHvwJ ¤. . Fvl¦z. 3ª 9. >D# Uh` + *+>D%=?t4# -/'"?>i< ,# ?% , P4(;"$0 >D% ,h4 $2"# hD>D% 2"# ! ?< 2%=$#?V + ¤ ~ { ¬ >DAA# >4'@ + j2< =?¡%=?$ +"/-'"$% '"$#;% '"04?"$#>D%=?@%=# +>4*A +8%j + j048M¡?" 2"0 ' ~ >4*+ =U() *+*,.-µ% '" $*+>4 +$>4*y>DAA<# >4'R%=}BUM ,()a % '" %=#2< =%²7»# $0 , i#>4 +2 $~ .
(47) T2"#©"2"1"7d>4*,044# +% 'B¥$>4i1 =% >D%=?()4#B >4*+*+a>4 g() *+*,.-/ $~. {vVtwv q ªMm >DAA<*,aU%=3 9|% '" g¢sBU$% '"M¡-/' +' ! j 2AA =? %= ( t v 04?"$#>D%= >D%& ,% % 'i ,%=$#>D% , 3 q ª S S$z$z$z+9j> =?>D#'i< ,# ?% , T>4@>"$- ,%=$#>D%= qC$r ~I«²%=$##2"A%&% ' ! ;A# M? g +i>48a@4(% '"o(e *+*+6-/ +0% '# $ $>4 =? $W. ;>4 = W 0 3 .9q ª ~«²i% ' + &$>4 m =$% #
(48) q ~. ;>4 = W 3 9;%=? &%= . >4*, "0 ~«²i% ' ! g$>4 = m A<# `$?R>4 / + ;>4 `m -/ +% ' qCr # $A*+>4?i1`a m -'"$# + g>U*+>D# 04oAZ ,% ,h4H82<Bo1$#?~. ;>4 = W qC;r hM , *+>D%=? />D%/*,?>4 =%g 4(% '" =%=#>4 !% 3 ª 9~j«²i% ' + &$>4 m "$³< `>4 % '&A# L=?% , 4( qCr U% '";# $0 , 0 ,h4? 18a@3 ª 9 m >4"$³" `>4 % '"&(>D# ? =% AZ !%(e# B ;>4BU "0T% '" =;1?*, "0 +0/%=T% '"& =$0 BU?8%g 4S qC²r >4< >D% + =()a` +03 ª 9~ «( 3 +9;v }3 ,9 m % '"? =$% #
(49) q m ?*+ =$% # q e~ '()+* xv©`$%&J # qJ ¤ # S>4i B A<2"%= % '"H() *+*,.-/ +"0A# ?< +%=?i>4i>4% 2>4*
(50) '()+* g©M% >D# % +"0-/ ,% '. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . # ?2% , < & +i(2% , @hD>4*+2"4W. «:( :« ( :« (. /q . 3 # 9S qµGI3)J ¤ 9
(51) n ª z DS =$% ¤ q ª z # ª z Hv
(52) v S_ =$%gJ¤WqCrjqJ #
(53) >4
(54) f D S =$%gJ ¤WqCr qJ #
(55) >4. .. #. GI3)J 9z. >4i04 %=i©`%=$A ~. q ¤ z ¤. q ¤ z ¤. WWqCqCrr >D# U>4% 2>4*!*,aP AZ?$ +³<ohD>4*+2"? . º/4%=}% '>D%H% '"U(>4%=4# ª z >4 ª z 2 =?t +V©`%=$A 4(% ' %d-A>D#>4BU$%=$# /% '>D%/$>4R'<>?h4>48aihD>4*+2"? & R% '"o +8%=$# hD>4*|3 ª S 9~ { '"H% ' ,# A<>D#>4BU$%=$#A# ? =?8%=?t18aP% '"U(>4%=4# $>4V'<>?h4}>48aFhD>4*+2"04# ?>D%=$#% '>4t "4~}T2"# =A?$ ,³<T'" !o4(% '" A<>D#>4B $%=$#/hD>4*+2"? ;-;>4 L 2 =% ,³?@1`a@82B $# +$>4*5MAZ$# ,?4~ { '"H5" + =% +0% '"$4#$% +$>4* # ? 2<*,% ; $# +0U% '"T%=#2 =%²7»# $0 + iBU$% '"M 3 =$ 4~®0"~ ? m ? 9$>4w1¡>DA<A<*+ ,?%=V '".-_% '>D% m 2<"$#% '"@1Z 2<"?"? >4 2BUA% , < o ¤ m *,044# ,% '<B ~ + ;-?*+* "$³<?i>4i?L=6aM g% '"oA# 4A$# % ,? 7 ~ { '"/§? !>4 >DAA# 65M !B >D% , ¤ m % '>D%-/ !*+*`1Zg !%=# M2?} +% '"/"5M%| =?% + m + >*+ !B ,%=?M7dBU?B 4# a¡>DA<A# ?5" +B >D% + ~©M +% ' + >DAA# 65M +B}>D% , R + >*+6-&7»#>4@B ` ,7 ³<$>D% , P4(|>@B2<*,% ,A<*,o4(% '" +"?8% ,%daRB}>D%=# c5 m % '"B >D%=# , 5 ¤ '>4 T> B}>4*+*`2B1$# 4(j + % +%/? +04?hD>4*+2"? $~ { '< + /#? 2*,% +P>¡ B >4*+*82B1$#4( ,%=$#>D% , < #?82 +# ?1`a % '" g¢ BU$% '`@%=} *,h4H% '" `2>4"#>D% +A#41<*,?B 3 94#&%=} !"?% +(ea}>U$0 >D% ,h4o$2"#=7 h>D% 2"# +# ?% , P + }3 9~ { '"$0 >D% ,h4U$2"# hD>D% 2"# !"(e4#B >D% , R ! >4$$2B2*+>D%=? ! % '"g§/? +>4 >DAA<# ?5" +B >D% , < ¤2";%= % '"gB2*,% +AZ !% =a`B}BU$%=# +& =?$>48%|>DAA<# >4' >DAA<*+ ,?@()4#g04?"$#>D% +"0 ¤ ~. .
(56) P ² X /
(57) = y. Zy $ |g
(58) R . . y$%o2 H? # ,1"6-N'6-±%=?B A<*,6aF% '"U1<>4 !U +"?>¡4(j% ' B2*+% ,A +%T =aMB BU$%=# ! =?$>4%BU$% '"Mi()4#g04?"$#>D% +0 % '" B >D%=# !? ¤ ~ ?"4%= ¤ qJ ¤ J ¤ m ? ¤ q ¤ ¤ ~ +$#>o =A?$ +>4*"$>4 =/>4 2B +"0T% '>D% % '" =?`2"?4( h4?%=4# S$z$z$z.S ?\ o'>6h41$?V04?$#>D%=?° = BU?'".- m >4V% '>D% % '"$a¨>D# @*+ +"?>D#*,aP !"$A?"?8%$~ { '" !"?>4*|>4 +B - 2*+V1%=P %=#2%>F§? +>4 >DAA# 65M +B}>D% , \}OY [T\ 8\¡ 2'% '>D%. k. BJ WqCrw. r J. W C q N r . n. 3 \ 9 L q. . \. . E/}. # q ? # S & q. . \ S. .. ª S$z$z$z.S. 3 9 z. 3 9. n .. B/}. §/.-j$h4$# m +04?"$#>4* m % '< + o + o +BUA ,1*, m 1?$>42 =}% ' =aM =%=?B 4( |3 9<j ?82>D% + 3 9T>4w3 9T + 2"M"6-F?*+?BU?% T4( \ + T6h4$#"$%=$#B +? ~ { ' +"()4#B >D% , >D1Z 2%% '"@ =aMB BU$%=# a¨4(g% '"@§/? +>4B}>D%=# c5¨ < !% '$# }-/ +% '¨% '" +"()4#B >D% , $>D# # ,?1`aF% '"}A<>4 ,# r <S ? x ~ { '" !"?>i4(% '"} =?`2"?8% +>4* =aMB BU$%=# ! =?$>4%TBU$% '"M g !%=# M2?R +¨ ! &%=}# ?*+?>4 =oA<>D#% +>4*+*,a# ?*+>D% , 3 9g +4#"$#g%= '>?h4 \o-?*+*"$³<? ~ { ' + I$>41Zg>4$ B A<*+ + '? +UhD>D# , 2 ->6a` $~ { '"/2 !82"?? $>4@1Z>4' +$h4?i18a}#>4"0 +"0% '"TA<>4 ,# gr <S ? x +¡>4$4#>4<- ,% '}% '#?*+ +>D1< +*! ,%da4( % '"H +"()4#B >D% , }% '>D%;% '"$a}$>D# # a4~4#&5M>4BUA*, m (e4# m "H$>4¡ < +"$#r <S ? x >4 B 4# @# ?*+ +>D1<*+ (e4#% '"@§/? +>4°>DAA# 65M !B >D% , % '>4r <S ? x m 1?$>42 % '"¡³# % A<>4 ,#->4 & BUA2"%=?@>D%;>BU4## ??8%& ,%=$#>D% , m >4<}% '"$#$(e4# H ,%;$>D# # +? B 4# ()# ? ' +"()4#B >D% , ~ { '"? m +% '"gA#`? 4(Z %=#2% +"0H% '/§/? +>4U>DAA#?5" +B >D% , \ m ,% + >D% 2"#>4*¦%=¡2< =o% '"A<>4 ,# r <S ? x =?`2"?% !>4*+*,a@(e4# jq S K S$z$z$z.S ª ~/"4# >4a°$2"# # ?8%r <S ? x m -ji$>4 ,0 4# % 'iA<>D# %4( ,% +(e4#B}>D% , m -/' !'° < +% -/ ,% 'i% '"BU4# (e# ? ' +"()4#B >D% , r <S ? x m q S$z$z$z6S m % '>D%'>6h4>4*+# ?>4"a 1Z$?R2 =? ~ # 6\ S ;q S$z$z$z6S m { $*+>D# ,()a/% ' ! +"?> m 2"AA =(e4#¦% '"BU BU?8% m % '>D% ?>4'h4?%=4 + A<>D#>4*+*+?*8%=H% 'g84#< +>D%=g>5" + ~ { '"?% '"&³# =%I *+2B >4% '"&³<# =%# 6-X4(% '" §/? +>4@B >D%=# c5$>4¡1T>DAA# 65M +B}>D%=?1`a % '"T =% >4<>D#¡³< ,%=7d ,bZ$# ?</()4#B2<*+>o>4 ? \ j \ ?~ { '"g =? *+2B U>4<U# 6- m +% '"? +#IA<>D# % I 2"% +"&% '"g³<# =%I *+2B >4V# .- m >D#>DAA#?5" +B >D%=?1`a ?8\ j ?\ + m >4 = ~ { R³<*+*I +% '}" "³<*!*,? A<>D# %H4(% '" »% 'V#6-N>4 *!2B m % '" B AZ ?% ? \ j 6\ m q S$z$z$z6S m >D# 2 =?¨3 =$ +0"~ 9~ «:% '" 04?"$#>4*¦$>4 = 4(I>D# 1< ,%=#>D# a}h4?%=4# 6\ m % '" =A<>4$>41H*+ +"?>D#*+a %=#>4 ²7 (e4#B ?K F% '>D% m +¨% '@$-¯ =A>4 m % '"@h4?%=4# \ >D#¡A>D#>4*+*,?*|%=P% '¡"$-_D7 4# +>D%=>5M? ~ { '"?P% '"U"? # ,1?R>DAA# >4'$>4t12< =?P%=@>DA<A# ?5" +B >D%=% '" §/? +>4RB >D%=# c5 +i% '""$-s =A>44~ ()%=$## $% 2# +"0U1>4 i%=}% 'o4# ,0 !>4* =A<>4 m -j. . # #. # #. # #. # #. & j . . . & .. #. r r &. # #. g&f. (} (}. #. . # #. #. #. . # &. . & .
(59) i. yn-i || s n-i ||. i. ?W68;%78K dW ?KR2<4(6n2PO>O$; M <7 Ru2<687VM54mM<^|6 LN? ?]W4W%782<4 uR 2<68;%7 NT. ,0 2# W"\R1R. . . @, , r -/'"$# p,¯q \ r S \ (} r (} B >D%=# c5 m % '" =aMB BU$%=# ,C?>D% + i4A$#>D% , + &$³<"?i>4 # S+& S 3 =aMBT9 # q #S¯4% - '"$# - + =4z 04$%/% '" >DAA<# ?5" +B >D% , . . j,. L =aMBR3 L 9 S 3 9 S$z$z$z6S » m q ? \ S<? \ $S z$z$z.S<?+ s O Y [ \ 8 \m >4w()4#}>48a . \ q. . . º 4%=% '>D% \ qµG )m ,(GI3)J9; + &`2>4"#>D% +D~I«("4% m B2*,% +AZ !%; =aMB BU$%=# +H ?$>4% / (e4#B2*+>F3 9g0 +h4? >048MR>DA<A# ?5" +B >D% + %=iG 3)J<\"9 m A<# 6hM +"?i% '<>D%% '"B >D%=# c5 + = >D()?*,a " !"0 2*+>D#H3 =$¡ 9~ y$%2 I B A<>D# &% '"g>DAA<# ?5" +B >D% , i3 9- ,% '% '"& " \q 0 ,h4?U1`ao% '" $*+>4 +&B2*,% +AZ !% =?$>48%jBU$% '"MR ~«²U% '"/$-X 2"1< A<>4 m -/'"$# 6 ¤ + A<>D#>4*+*+?* %= m jq S$z$z$z6S m ,% ! g?>4 =a%=@ =$(e4#?>4't?*+?BU?%4(% '">DAA# 65M +B}>D% , m '"6²(e# ? ' ¨ + }% '"F !"(e4#B >D% , +8h4 *,h4? +X +% } BUA<2% >D% , ~ BUA>D# +"0V% '? =R%-j >DAA# 65M +B}>D% , m >?a m #6-£1`a¨# .- 3 =$ ,0"~ 9 m $>4w =$i% '>D%U% '"i =aMB BU$%=# ! "¡2< =? B 4# ²()# ? ' P +"()4#B >D% + ¨ BUA<>D# +"0%=P% '"@$*+>4 +} " m -/' +'2< =? ! ?>4'U# .-w>4*+*8 AZ?%=#2Bf4(Z +"()4#B >D% , m ()# Bs% '"&BU =% ²(e# ? ' %=% ' ² *+? =% M~|©M2' BUA<>D# + 4(3 9- ,% '% '"g =aMB BU$%=# !jh4$# , 4(Z% '"g =?$>48%|BU$% '"MA# 4A =?U ! 44 "?BU < =%=#>D%=? g% ' >4BUo>4"hD>48% >D04? /4( 2"#/>DA<A# >4'y~ { ' + ; + g% '"H# ?>4 = R-/'a m +o% '; a`B B $%=# +|$>4 o3 G L q G 9 m 3 9¦04?"$#>D%=? I1$%=%=$#I>DAA# 65M !B >D% , m >4-/'8a % ' + >DAA<# >4'V ! >DAA<*+ +?P'$# +t% '"}*! +B ,%=?M7dB ?BU4# a()#>4BU$-4# Z~ ¨ +BUA4# % >48% A# 4A$# %daF4(T3 9 ! T% '>D % \ $>4t141<% >4 +"? m ()4# >4at + +% +>4* 1 OKY [. \ 8\m >4 H% '" # ? 2*,%&4( V =?`2"?8% +>4*y2"A >D% +0 j1`a¡% '" #>4"87»%d- ()4#B2*+>. . #& . . . WqCr q ¤ ¤. . ". . 3 ?M¤. .. , r #. . ¤. - . 6¤D93 ¤49 L
(60) ¤M3 ?M¤ C ¤ S ¤ E. -/'"$# ¤ + &>48a¡h4?%=4#T +iY [T\ m 2'i% '>D%. #. .. ¤. D&. 6¤49 L. C ¤ S EIq ª S ª v |n :ZS C ¤ S ¤ E q ª z ª. .. C ?M¤. p,. .. . 6¤8S6¤E ¤M3 ¤49 L S C ¤ S ¤ E. ¤. }. 3 9 3 9 3 ? 9.
(61) n−1 n−2. 0. n−1 n−2 0. 7F4$=<78KP2<6878M<4 Z ^WLNM5?3; Wa?R\2>R1KALpR?W?AH68?;%R78K`?Wc@4(H ?H6 ^AZX6 fy6 LN25?y4$78=6G?A6 ; LN2<? 687VKWM5H:432W42<W%6F78K X cGL ;P787:KW95LL 6 7f>6 W WW?RONKR25257 4(; 6r2POUS<O$?;TxM <X7 2R Wy2>KP6878MM5R4"O W QX6G?786= L T. +0 2"# W. . . . .. { '"H =?`2"?r ¤ x \ + -?*+* "$³<"?¡1`at3 9d73 ? 9/ +¡% '"H =? H% '>D%&% '"$# + ;" 1# ?>D87d"6-/F()4#>4*+* :¡q ª S$z$z$z.S ~ { ' 2"0 'i->4 2<BU ()# B ".-s R% '>D% + =a`B}BU$%=# + m = B 4(% '"H()2# % '"$#g>4 =$#% , g" 4%g# ?`2 ,# T% ' + &>4 2BUA% + ~ «%$>4K1 ?>4 +*,aV '"6-/¨18a>4>4*,404aV-/ +% 'p % '>D%()4#B2*+>4 @3 9 Z3 ? 904?"$#=7 >D%=¡ =aMB BU$%=# + §? +>4K>DAA# 65M !B >D% , H% '<>D% >D% ! =(eat()4#>4*!@ * :¨q ª S$z$z$z.S % '" (e *+*+6-/ +0?`2>D% , < . .. WqCr , ¤ q a`B3=3@, ¤ 9 L¤ 9S 3 6 9 L ¤WqCr , ¤ q L ¤ S Ah , ¤ S 3 9 3@, ¤ 9 L ¤WqCr q 3 ¤ 9 L S A h , ¤ S 3 ? 9 -/'"$# ,¤Xq 6¤S6¤ $r S$z$z$z6S »m ¤Xq ?M¤ S<?M¤ r?S$z$z$z?S<? O¯Y [T\ ¤WqCr ²~ { '"? = ?82>D% + g +BUA*,a % '"o`2>4 ,7dº/$-g%= ?82>D% + ¤AqCr ¤ q ? ¤ z 3 Dª 9 º/4%=% '>D%% 'gh4?%=4# ¤8m >4 |-j?*!*>4 ¤WqCr m >D# 4%|2 +`2"?*,a"$³<"?U1`ai3 9>4 3 ? 9~ { '"H2< +82?"? ;$>4i1T41% >4 +"? m ,(¦-jo>4 2BUT% '>D% ¤WqC; r ! ;% '"H = *+2"% , ¡%= % '" () *+*,6- +"0U*,?>4 =%²7d'>4"04oA<# 41<*,?B EF + !B ,C$ 3 9 . ¤ S 21ML²?%&%="W 3@, ¤ 9 L , ¤ q a`B3=3@, ¤ 9 L¤ 9S L u, ¤ q L ¤ S Ah , ¤ S 3@, ¤ 9 L q´3 ¤ 9 L S A h , ¤ S @,. 3 ¤ 9L. ¤. . . . . . . . . . . . . . . . . . . . . . -/'"$# 7< + ¦% '"#41Z?< +2 ¦B}>D%=# c5"4#B m >4 ¤ + 2"A<AZ ? %=H >D% + =()a ?`2>D% , +B +*!>D#g%=t3 6 9>4K3 9~ { '" = *!2"% , %=¡% ' + /A# 41<*+?B£ + 2 +`2" m >4F ,% ! g0 ,h4? 18a@()4#B2<*+>i3 9;-/ ,% '. . , ¤ r 3=3@, ¤ r 9 L , ¤ r 9 r 3@, ¤ r 9 L ¤ z { ' + BU?>4< % '>D%y% '"j =?82?&r ¤ x \ r $>4 141% >4 +? m 4~®0"~ m 1`a% 'j¢#>4B7:©M'B +% 4# % '"404 >4*+ +C?>D% , A#`? />DAA<*+ ,?¡%= % 'o =?`2"?r ¤ x \ r ~i k ?"4% +"0 . S$z$z$z?S ¤ OiY [ \ ¤WqCr S ¤ q. . ¤. ¤. q´ Y. . . . . . . . . . . . . .
(62) -jo $ % '>D%3. ¤D9 L . . ¤qY¡>4. ¤. . ¤ r 3 ¤ r 9 L ¤ z. q± Y. . . . { ' + &'" + 4( ¤>4 2"# ? g% '>D%g% '"H?`2>D% , . L. . ¤ T q . 3 4 9. . h , ¤ r. L S A. 3 4 9. . '" *+ @()4#R>4*+*>:Nq S$z$z$z.S I~ º4%=V% '>D%% '" =?82?4(U>DAA# 65M +B}>D% , ¤¨ + 2 +`2"?*,at"$³<"?1`ap3 6 9d73 ? 9>43 4 9~T2"#*+ +B +%=?M7dBU?BU4# a>DAA<# >4'K-/ +*!*I1 ? =?8% +>4*+*,a¡1<>4 =?i % ' + ;A# 4A$# %a4~ «:% '"*+ +B ,%=?"7dBU?BU4# aTBU$% '"M m % '"j§? !>4oB >D%=# ,5o + y>DAA#?5" +B >D%=?18a >*,6-&7 #>4"BUM ,³<$>D% , V4(;>F +BUA*,UB >D%=# c 5 ~¡«²V% '"}5`%% '"$4# ?B m -jA# ? =?8% % '" B2*+% ,A +% =aMB BU$%=# + =?$>48% >DAA#?5" +B >D% , T +P% '"()4#B % '>D%H-/ !*+*y1U2 =$(2*(e4# +BUA<*,?B ?% >D% , o +T% '"()#>4BU$-4# 4(`% '|*+ +B +%=?M7dBU?BU4# a>DAA# >4' ~4# +B A<*+ +$ ,%a m % '"o2"AA$#& +< +? ;4( I¤>4 ¤-/ +*+*Z1T B ,%=%=? ~. , M )N
(63) O)P eLNO>?AON41M^WWdM5? ;y6 L 252>4"6i\ vV6 tw1LNv?8TRuOC2<?WY 68[6y;%78\ , K%8?]\W q^Z r6S$¤z$Sz$6z.¤ S r$¤AS$qCz$z$r z625S ;?1 9 ?AO¥4'?WY [T;T2<\ 6G?R=`¤WbqC\ r ^WM5bP;]? R 2NH:2^ NW;HFHce U;T25fu4 254$Ru= 2<c 68S ;%SJ7 Nf TT ¤WqCr q 3Y . g , 3@, L , 9 r , L 9 3Y . &, 3@, L , 9 r , L 9 3 9 1,
(64) . 3@, L", 9 r =3@aM, BRL , 3 9 L"r , 93@, L , 9 r 3@, L ª, 9 r
(65) , LL S X LN?A;? q´ ?`¤8S<?M¤ $r S$z$z$z.S<? OY [T\ ¤WqCr /T gg; Md_M ^JT;y$%, KOY [ \ \ <¤ r 1 >48a¡B}>D%=# c5i 2'% '>D% , L , qY >4 , L V, q ª z. . . . . . . . . . . . . . . . . . . . . . . . . { '"?i?`2>D% , 3 6 9Z3 ? 9/>4<¨3 4 9;$>41H-g# ,%=%=?i>4 .
(66) ,, LL A¤ qCr , , q
(67) a`B, 3@L , L 9 , L L , , z 3 9 ¹ja¨% '"i>4 2BUA<% , m % '"¡B}>D%=# c5p , , OY [ \ 8\ + " +0 2*+>D#?~"4# +% +8h4$# = B >D%=# c5 m -j'>?h4 , , r q
(68) 3@, L , , L 9 r , z . . . . { '"$# $()4# m -/ +% '@% '" 2 =H4(% '" $hM +"?8%&# ?*+>D% + . , , L. q Y. . ,&3@, L ,9 r , L S . .
(69) , . , . L ¨, q . a`B3@, L . L = aMB3 L 9 (e4#B2*+>3 9g$>4i1H?>4 +*,a@"$# +h4?@(e# B. 9S. 3 9~. :« % '" *+ +B +%=?M7dBU?BU4# aBU$% '"M m % '" +< ,% +>4*Z§/? +>4i>DAA# 65M !B >D% , i + &2 2>4*+*,a '" =?°>4 q Y m -/'$# }% '"A ,% ,h4¡ $>4*+>D# wB}>?aVhD>D# a()# B +%=$#>D% , %=P ,%²7 $#>D% , 4(j% '" B >4 +t>4*,044# +% 'B % '>D% $>4*+*+ 2"# §? +>4>DA<A# ?5" +B >D% + ~o«:%HB >?aP1 $>4*+*,? m 4~®0"~ m 1`a *,044# ,% 'B ~ h` +> *,044# ,% 'B ~ ~º/4%=;% '>D%% '"4# ,0 +4(% '"h4?%=4# A<>4 ,# r <S ? xoBU?% + "?@ + { '"$4# ?B ~ ! 4%? =?% !>4*(e4#g2 +"0(e4#B2*+>i3 9; ! % '"U =? =% '>D% m 0 ,h4?t% '"B >D%=# !? X>4< m >@§/? +>4t>DAA# 65M +B}>D% , $>4t1 BUA<2"%=?18aU()4#B2*+>}3 9~|«: 2"#j>DA<A# ?5" +B >D% + m -'"8 T> B >4*+*< *+*,?% , 4( h4?%=4#gA<>4 ,# /r <S ? xH>4B "0% '" =# ??% *+a}04?"$#>D%=?18a % 'B >4 !¡>4*+044# ,% 'Bi~ { ' 82B1$#|4(y% '? =/A<>4 +# m ?"4%=?}1`a m B >?a hD>D# aU()# B¯ ,%=$#>D% , %= +%=$#>D% , ~ { '"? -jo B AZ >4$4# +"0 *+a}% '" B >D%=# +? S OY [T. \ >4i>DA<A<*,a ()4#B2*+>i3 9;-/ +% ' ;/q Y~ { ' + ;0 ,h4? . . # #. . |,. # #. . q. . ,. Y. 3 9. ,
(70) . =aMB3 L",|9 . ª
(71) , LL S -/'"$# q¥3@,L , 9 r OPY [ ~ { 'B +<*, B >D%=# ,5R + /4(|% '" ,C$ ~T"4# m % '< + HBU?>4 H% '<>D%H% '"}B >D%=# ,5 + H>*,.-&7»#>4"P4# # ?% , ¨4( Y~ «:% + T% '" . . . BU =%? =?8% +>4*MA# 4A$# %a 4(<% ';*! +B ,%=?M7dB ?BU4# a BU$% '"M $~ { '" g¢pBU$% '"M>DAA<*+ +? + *+044# ,% 'B ~ 1?"$³<% T(e# B % 'U()>4% % '<>D% % '" `2Bo1$#H4(; + =% !%? +04?hD>4*+2"? 4(% ' B >D%=# c5 ¥"8? /"4%g5"$? ~ º/4%=F% '>D% 2"# *! +B ,%=?M7dB ?BU4# aV()4#B2*+>4 3 9U>4<µ3 9U cb$#U()# B % '"R M7 h4?% , <>4*I "? m 1?$>42 U% '"$aP>D#U1<>4 =?t V ,bZ$# ?8%H82<>4 c7dº$-g%= VBU$% '"M $~¹a >4>4*,404at%=i% '"U4% '"$#o*! +B ,%=?M7dB ?BU4# aR>DAA<# >4'"? m % '" B >D%=# ,5 OKY [. \ 8\ +t 2"# h4$# , t + T"4%H =%=4# ?t5MA<*+ !$ ,% *,a m 12"% ! =%=?>4 m % '"U B >4*!*,$#B}>D%=# +? S OVY [T\ m L S L ¥OµY [ >D# =%=4#?w>4w2"A >D%=? ~V«:(>4*!*;-ji"$?°()# B % '"§? +>4 >DAA# 65M +B}>D% , R + IL=2< =%g% '"A# M2% g4(I% 'o()4#B i>4l L m -/' +' + g% '$>4 = + *,044# ,% 'B ~ m % '"? oA# M2% /$>4R1 BUA<2%=?1`ai(e4#B2*+>3 9g-/ ,% '% '"2 4(% ' =%=4# ?RB}>D%=# +? $~ «(% '"Hh4?%=4# %= 12 ?i +3 9;>D# *+ +?>D#*,a "$A?"?8% m % '" B >D%=# ,5 L K + "4%/ +8h4$# % ,1<*+4~¶|h4?R ,( ,%g + g !h4$# % +1<*, m 1<2"%;% '" h4?%=4# >D# >4*+BU =%g*+ !"?>D#*,a}$AZ?"7 "?% m % '"o§? +>4F>DAA# 65M !B >D% , iB >6ai1ZHA`4#?~ { ' + & + &%a8A +$>4*y()4#/% '" =?82?% +>4* B2*+% ,A +% =?$>4%U>DAA<# ?5" +B >D% , < $~ { P>6h4 +° 2'° +< =% >D1< +*+ +%dat +¨>DAA<# ?5" +B >D% , m -j2 = +¨3 9"4%>4*!*y4(% '">?hD>4 +*+>D1<*+ h4?%=4# m 1<2"%> 2"1< $%$~/¹a>4>4*,404a-/ +% ' m ª"m m D»m % '";h4?%=4# I>D# & =A?$ +>4*+*,a ?*,?%=?(e4#I% ' ! 21< =$%%=12 W _^ \ \ +R = BUo =?< =4~ { '" =% >D1<*,BU$% '"M g +¨ m ?DL².a¡% 'o 2"A$#*+ !"?>D# h4$# 04?<UA# 4A$# %dai2 %=% 'o(>4%/% '>D%% '"$a2 =o *,ai >D()?*,a*+ +"?>D#*,a +<"$A?M7 "?%/h4?%=4# (e4#/% '"? ,#/B2*,% ,A +8%; =a`B}BU$%=# +H =?$>48%T>DAA# 65M +B}>D% , m -/' !'>D# . . , , ,.
(72) . #. 7F4$= ? OQ?W4$=U?A4$6.
(73) . |,. , ",. #. #. . A2 d?AH H 7F4 ?25;%H.
(74) 1<>4 +H()4#/ 2#*+ +B} ,%=?M7dBU?BU4#a>DAA#?5" +B >D% , ?~j«²i% '""5`% =?% , m -j +%=#`2< >BU?>4 2"# /4(*+ +"?>D#| !"$A?"?4~ a =$%4( h4?%=4# m - ,% ' % '"h>4*!2"/4( % ' ! |BU?>7 2"# U>D16h4}>@³5`?t% '"#? '" *+PhD>4*+2" XO3 ª S »m -/ !*+*¦1# $0 >D#?V>4 H >D()?*,aP*! +"?>D#*,a +"$A?"?8%$~ ©M2"AA =U% '}§/? +>4V>DAA<# ?5" +B >D% , ¤ + o$>4*+*,?V>D%% '". :`% '¨ +%=$#>D% , V4(;% '" B >4 +U>4*,044# +% 'Bi~/*+ +B +%% '"gB}>5M +B}>4*``2B1$#I4(% '"&h4?%=4#jA<>4 ,# r <S ? x2 =?U ! =%=#2% !"0 ¤/18a>TA<>D#>4BU$%=$# I~ "4% '"$#IA>D#>4BU$%=$# m m A# 4%=?% (e# B 2 +0U% '" A<>4 ,# Tr <S ? x-/ ,% ' ;n : 3)-j$>4*+*¦ 2'iA>4 ,# m + 8%=#>4 =% %=}% '"4% '"$#/A<>4 +# &% '>D%-j$>4*+* !9~ 04?"$#>4* '?BUo4( 2"#*+ +B ,%=?"7dBU?BU4# a >4*,044# ,% 'B $>4i1HA# ? =?8%=?>4 g() *+*,.-/ $~. # # } r |M5H:=. # # &r . } ;?KP?W4(6
(75) vVtwv¢T ,h4? r m } r m O3 ª S 9 m ¤ f ª >4i> =$%&4(¦#??% h4?%=4#A<>4 +# r # S<? # x ~ '()+* t(v}"# B % '"0 ,h4? =$%H4(|#??% *,at BUA<2%=?Fh4?%=4# # '8 = >i 2"1< =$%4( >D%BU =% r h4?%=4# 2'¨% '>D% m ³# =% m 6¤ r + +<$*+2"?t +% '} 2"1< $% m =? m % '" h4?%=4# +R% '" 2"1< =$%>D# >D(e?*,aF*+ +"?>D#*+a¡ +<"$A?"?8%$~ =U>4*+* # (e# B % '" 2"1< $% >4 ¡ *!2B t3)A# $()$#>D1<*,aw +"?# ?>4 +"0¨4#"$#4(|:& 9}(e4#@ BUA +"0% '"tB >D%=# c5 , ~. BUA =H% '"oB}>D%=# c5 >4$4#< +"0 *,a4~ '()+* x v %=#2% ¤ 1`a()4#B2*+>3 9&-/ ,% ' iq ¤ ~ º/4%=% '>D%©`%=$A $>41 +BUA<*,?B ?%=?t +thD>D# , 2 T-;>?aM $~ { '"U +BUA<*+? =%'" + % '>D%j 2*!}BU$$%;>4*+*"% '"# ?`2 ,# ?BU?8% I4(©`%=$A - 2*+}1Z/%= BUA = t , 4(`L 2 =% " *+2B .¤ r$~}«²V% ' + o$>4 = m ()4#B2*+>¨3 9 + H?`2 ,hD>4*,?8% %=R% '" .-j?*!*c7d =aMB BU$%=# + 7 . . . . . . . ¹j#6aM"?µ2"A >D%= 4 4(% '"VB >D%=# ,5 1q ¤ Y m 1<2"%i2"()4# % 2>D%=?*+a m % ' ! - 2*+ "4%% >D4U>4"hD>48% >D044(j2 +"0 +"()4#B >D% , F>D1Z 2%/% '"§/? +>4R$>D## ,?F18ai% '"4% '"$# # ??% *+a@ B A<2"%=?ih4?%=4#A<>4 ,# r <S ? x ~ " *+*,.-/ +"0R% '">DAA<# >4'K>4 +BU? K BUA<*+$%=2 =}4(% '>?hD>4 +*+>D1*,} +"()4#B >D% + m ª"m m »m >4}% '"$# $1`aU }% '"1$%=%=$#j§? +>4>DAA# 65M +B}>D% , m - !h4 *,h4 m ³# % 4(>4*+* m r ¤ <S ? ¤ x& ! %=#2% +"0T% '";§? +>4>DAA#?5" +B >D% , m >4<% '?-;%=# a 4% +h4 *+h4o =?`2"?% !>4*+*,a}*,? g>4i*,? g# ??%/h4?%=4#A<>4 +# $~|©`A?$ ,³<$>4*+*+a m -o =$%/ ! ,% +>4*+*+a ±q ¤ ²»m >4<% '?°-ji'? m +°"?#?>4 +"0t4#"$#4(% '"i ,%=$#>D% , w`2B1Z$# m -/'"$% '"$# % 'R >D()R*+ +"?>D# !"$A?"?@4(% '"R *+2<B 4( - 2*+°1*, =%>D(e%=$# >4 +"0 >4 /> $-s *+2B} ~«:(% '< + g + g4%g% '"$>4 m w ! &?*+>D# 04?R18ai>4< +"0 >4 ,% g"$-f*!>4 =%g *+2B y~ =%=4AR>D()%=$#'"? M +"0} !@% ' + &-;>?ai>4*+* ()# B_% 'H0 ,h4?R =$% 4(|# ??8%Th4?%=4# $~T2"#T +BUA*,?BU?8% >D% , R4(|% ' + >DAA# >4' + < + $2 ?R +F% '""5`% =?% , ~. ,. # #. r r r #. , |, #. . #. &.
(76) w R j' d i
(77) . . >4"#? H'"$# %=F = BU} +B A<*,?BU?8% >D% , + 2"? H $# !"0i% '" >4*,044# +% 'B TA# 7 =?%=?X +¨% '¡A<# $h` + 2 =?% , $~ { '"¡# ? 2*,% 4(82B $# +$>4*j5`A$# +B ?% >D# i + =7 $2 =? !@% '"o"5M%g =?% , ~. .
Related documents
Skribenta requires text segments in source documents to find an exact or a full match in the Translation Memory, in order to apply a translation to a target language.. A full match
[r]
A Firenze dal 24 al 28 maggio 2017 LAO, Le Arti Orafe Jewellery School organizza PREZIOSA 2017-Florence Jewellery Week, un’iniziativa unica in Italia, dedicata a tutte le
ÙuØÎÕ¬ÔéÖ8Õ¬ØÐÙhÔ@ÙuØÐÛjÕ¨ÔÎÏ!Ûjá!ÔBÑ î!ÛغÖuØÐÙuáéÔ!î ÜWÕ¬Ô!Û×nÙhàRÎÐÏ!Û
The solution for the optimization variables is computed based on minimizing the objective function, i.e., a simulation may predict one posture that will require lowest
In order to decrease the number of fatigue constraints, the same approach as for the static stress constraints is used: stress evaluation points are clustered using the Stress
Department of Management and Engineering Linköping University, SE-581 83, Linköping,
The method of sequential quadratic programming, suggested by Wilson [74] in 1963, for the special case of convex optimization, has been of great inter- est for solving
