Direct Estimation of the Index Coefficients in a Single-index Model
39
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Direct estimation of the index coefficients in a single-index model Marian Hristache , Anatoli Juditsky , Vladimir Spokoiny. No 3433 Mai 1998. ` THEME 4. ISSN 0249-6399. apport de recherche.
(3)
(4)
(5) !" # $
(6) %&
(7) '() *+ , " -) .0/2134/257681349;:</>=@?ACBD85E/2:F>GH3JILK M'3H:<9ONQP7BRGS/>MQ3HT3U1$V W FLN F>3H5'P XY Z\[^]`_acbLde[8f gehjiOdlk+mn]<iok2p iOde[dlqhjiOdlk+m r ]"q;s>qOi;Z\[]<qt<k>[p gl]<u>]<q vJwxkjyO]<izd{q| }h~p p'k>wxi r ],wx]<tY ]\wxtY ]m,>~_>+ah~d ++ac+8p'hj+]<q <'jj ]p'wxk+pQk+qO]hm ]<[]<iOY k r kj]<q;iOde[hjiOdlm iOY ]Cdlm r ]<u0t<k>]t<d{]<mLiOqdlmh qOdlm +gl]dlm r ]<u[^k r ]<gSCSi"dlq, 'h~qO] r k+mdliO]\wOhji;d{¡2]-de[p'w¢k£¡2]\[]<m>i$kjiOY ]h¡+]\wOhj2] r ]\wxdl¡£h~iOdl¡+] ]<qOi;d¤[hjiOk>w<$XY ]-w¢]<qOf gliOdlm C]<qOiOde[hjiO]"dlq,¥ ¦¨§>t<k2m qOdlqOiO]<mLi`f m r ]\w$[dlg r hjqOqOf'[^p iOdlk+m qk+mniOY ] [k r ]<gS ©«ª>¬x®¯'£° q;d{m 2g{]±²dlm r ]<u[k r ]<gS³dlm r ]<u"t<k>]´t<dl]<mLiOq\³gld{m'µ¶Sf m t<iOdlk+m ³ r dewx]<t<i!]<q;iOde[hjiOdlk+m ·4¸¹xºx»\¼J¹½¾¤ºÀ¿HÁ\Â. Unit´e de recherche INRIA Rhˆone-Alpes 655, avenue de l’Europe, 38330 MONTBONNOT ST MARTIN (France) T´el´ephone : 04 76 61 52 00 - International: +33 4 76 61 52 00 T´el´ecopie : 04 76 61 52 52 - International: +33 4 76 61 52 52.
(8)
(9) ¶ )S -
(10) &" )
(11) '-(¶) *+, O .
(12) k2f qp'w¢k+p'k+q;k+m qf m ]Jm k+f ¡+]<gl]J [ <i;Y k r ] r ]<q;iOde[hjiOdlk+m r f,t<kL]´t<dl]<m>i r dlm r d{t<] r hjm qCf m [k r Z<gl] xqOdlm +gl]±²dlm r dlt<] + ³ Lf d"]<qOiC 'hj q <]qOf'w r ]<qh+[]<gldlk>wOhji;d{k2m qCd{i;]\wOhjiOdl¡+]<q r ] g ]<qOi;d¤[hjiO]<f'w r ],geh r ]\wxdl¡ <],[^k£s2]<m m ]+ ]<qOiOde[ < ] >f d ]<mw <qOf gliO]"]<qOi ¥ ¦ §Lt<k+m qOdlqOiO]<mLiO]+ ! ¯'\O "# 0 [k r Z<gl$] xqOdlm +gl]±²dlm r d{t<] 2³]<qOiOde[hjiOdlk+m r dewx]<t<iO].
(13)
(14) . . $ " bLf p pQk+qO]$iOY'hjiJi;Y ]`k+ q;]\wx¡£hji;d{k2m q#"$ %'&( %)*& +-,/.0&2121314&¦5&>h2wx]+]<m ]\wOh~iO] r Ls-i;Y ]wx]<Lwx]<qOqOdlk+m [k r ]<g $6%-,879"( %)-:<; % =x +e > Y ]\w¢?] $6%hnqOt\hjgeh+wwx]<q;p'k+m qO]¡£h+wxdehj gl]<q\³ ( %A@/BDC.&2. EFh+wxH] Gj± r de[]<m q;d{k2m'hjgJ]<uLp gehjm'hjiOk>w¢s ¡jh+wxdehj gl]<q\I³ ;J%h+wx]wOh~m r k>[ ]\w;wxk>wxq"hjm r 79"'KL)¶dlqhjmf m'µ+m kjm G~± r d¤[^]<m qOdlk+m'hjg Sf m t<iOdlk+Mm 7ON P QFSRTP Q ]-h~qOqOf'[]$iOY'hjU i 79"V )Y'hjqiOY ]$qOp']<t<Xd W'tqOiw¢f t<iOf'wx] Y 79"V6)9,OZ["V4\^]J_*)1 =x + 3| > `¶]\wxa ] Z["'KL)dlqhjmf m'µ+m kjm0 ± r de[]<m qOdlk+m'h~Ug b dcCSf m t<iOdlk+m ³ ]+ ' Z["'KL)eNfP QgRhP Q h~m r ]dlq hjmnf m'µ+m kjm ji¡+]<t<iOk>w@o miOY ]8qOihjiOdlqOi;d{t\h~ggldliO]\wOh~iOf'wx],i;Y ],wx]<gehjiOdlk+m q"hjqdlk m =x + j >¶hjm r =x 2 | >"h+wx]-w¢]4]\wOw¢] r i;k hjq"i;Y H ] lm n' ji?l0
(15) C[k r ]<glq\XY ]<qO][k r ]<glq-h+wx]kjSiO]<m f qO] r dlm´]<t<k2m k>[]<iwxdlt<qhjqoh8wx]\hjqOk+m'h~ g{]¶t<k>[p'wxk>[^d{q;]o Q]<ixo]<]<m^4f glgls´p'h2wOh+[]<iw¢d{thjm r 4f glgls m k+m p'h2wOh+[]<iw¢d{t[k r ]<glgld{m o =Hq;]<]o]+ ' «2t pf glgehj+YChjm r ]<g r ]\w<³ \+2 ><- qLk>w dlm qOih~m t<]+³+iOY ]<s h+w¢]´]<uLiO]<m qOdl¡+]<gls f qO] r dlm0p'wxk£y;]<t<iOdlk+m p f'w¢qOf dli^w¢]<>wx]<qOqOdlk+rm =Ht¢s q wxdl] r [hjm0hjm r bLi;f ]<i t<gl]+³ \2 "hjm r ``h~g{gS³ ++ >< X k,]<q;iOde[hjiOdlk+mp'w¢k+ gl]\[qz4k>w qOdlm +gl]±²dlm r ]<u [k r ]<glq`h+wx]¶d{mLiO]<m qOdl¡+]<gls r dlqOt<f qOqO] r dlmCiOY ] gldliO]\wOhji;f'wx]+,XY e] WwxqOi$d{q"i;k´]<qOi;d¤[hjiO],i;Y ]-f m'µ2m kjmCSf m t<iOdlk+m 79"V )@³'iOY ]8qO]<t<k+m r dlq"iOkCwx]± t<kj¡+]\w$iOY ]dlm r ]<u2±²¡+]<t<iOk>w ] _ m i;Y d{q8p'hjp']\w$]8Sk>t<f q8k+miOY ]qO]<t<k+m r k+m ]+v u ¡jh+wxdl]<ixs k~ []<i;Y k r qiOk]<qOiOde[h~iOw] ] _ Y'hjq¶ ']<]<m r ]<¡+]<glk+pQ] r d{mniOY ]$iOY ]<k>wxsk~!qO]\[dlp'h+wOh2[]<iwxdlt$]<qOiOde[h± iOdlk+m x qLk>wdlm qOih~m t<]+³dlm0iOY ]±²]<qOi;d¤[hjiOdlk+m0hjp p'wxk>hjtY iOY ]Cf m'µ2m kjm gldlm'µ 4f m t<i;d{k2xm Z dlq t<k+m q;d r ]\w¢] r hjq`h~mCd{dm W'm dliO]± r de[]<m q;d{k2m'hjgm>f dlqh~m t<]"p'h+wOh+[]<i;]\w<XY ]<miOY ]"]<q;iOde[hjiOk>wzkjy ] _ dlqJt<k2m qOiwxf t<iO] r >s[dlm de[zd t\hjiOdlk+mkjh~m^ ±S4f m t<i;d{k2m'hjg dliOYwx]<qOpQ]<t<iiOwk ] _ ³2Y ]<mwx]<p gehjt<dlm Z >snd{i;q"m k+m p'h+wOh+[^]<iwxdlt"]<qOiOde[hji;k>w<,XzsLp d{t\h~g!]<u h+[p gl]<q,h+wx]8qO]\[dlp'h+wOh2[]<iwxdlt-[hju>de[8f'[ gldeµj]<gldlY k>k r ]<qOiOde[h~iOk>?w = b -{>hjm r qO]\[dlp'h+w;h+[]<iwxdltgl]\hjqOi q Lf'h+wx]<q]<qOiOde[hjiOkL?w =Sb 4b {>< |$gl]<dlm hjm r bLp'h r s+³ \2+8Y'h\¡2]"qOY kjm´i;Y'hjiiOY ]-b -{ d{q$hjqOs [p iOk+iOdlt\hjglgls]´t<dl]<m>idlmniOY ] qOkt\hjglg{] r dlm'h+wxsw¢]<qOp'k+m q;],[k r ]<gS tY de[8f'wOh ³ ++8qOiOf r dl] r i;Y ]"p'wxk+p']\w¢iOdl]<qkjJb 4b { d{m h+]<m ]\wOhjg qOdlm +gl]±²d{m r ]<u [k r ]<gS`XY ]<mniOY ],p'w¢k+ gl]\[ kjiOY ]8tY k+dlt<]8kjJ 'hjm r d r iOY«4k>wiOY ] m k+m p'h2wOh+[]<iw¢d{t$]<qOiOde[h~iOdlk+m´k~!iOY ]"gldlm'µ4f m t<iOdlk+mCY'h~q ']<]<mCt<k+m q;d r ]\w¢] r d{} m `#~2w r gl]"]<i`hjgSe³ \2+ "S m $]<gl]<t\wxk+dluhjm r ``wxdlqOihjtY ]+³ \+2hCwOhjiOY ]\w+]<m ]\wOhjg ixs>pQ]-k~o±²]<qOiOde[h~iOk>wxqY'h~q Q]<]<mqOiOf r dl] r ³>h~m r i;Y ]ohjqOs [p iOk2iOdltJ]´t<dl]<m t<s,k~iOY ]+]<m ]\wOh~g+qO]\[dlp'h+wOh2[]<iwxdlto[hju>de[8f'[8± gldeµj]<gldlY k>k r ]<q;iOde[hjiOk>wY'hjq" ']<]<m p'w¢k£¡2] r dl m zk+m m ]<f]<ihjgSe³ + hjm r $]<gl]<t\wxk2d{un]<i,hjgSe³ \2 4k>wzp'h+w¢iOdlt<f g¤h2wJt<gehjq;qO]<qkjqOdlm +gl]±²dlm r ]<u[k r ]<glq\ Sm,q;p d{i;]Jkj m dlt<]oi;Y ]<k>wx]<iOdlt\hjgjp'wxk+pQ]\wxiOdl]<q kj'±²]<q;iOde[hjiOk>w¢qi;Y ]<s,h+wx]JwOh+w¢]<g{s$de[p gl]\[]<mLiO] r dlm,p'w;hjt<iOdlt<]+!XY ]Jw¢]\hjqOk+m¶4kLw'i;Y d{q d{q iÀkjSk+g r - q d¤w¢qOi kj h~g{gS³iOY ]Jhj Qk£¡2][]<mLiOdlk+m ] r wx]<q;f g{i;q!h+wx] !. - .
(16) |. D . ¡jhjgld r k+m gls"f m r ]\w >f dliO]wx]<qOiw¢d{t<i;d{¡2]J[k r ]<gLhjqOqOf'[p i;d{k2m q\ Sm8p'h+wxiOdlt<f geh+w r d{q;t\wx]<iO]Jwx]<>w¢]<qOqOk>wxq h+w¢]"m k+i`hjglglkjo] r `kj]<¡+]\w<³2d{i$dlqiOY ]"qO]<t<k2m r wx]\hjq;k+m´¶Y d{tYdlqt\w¢f t<d¤h~g YziOY ]"t<k>[^p f ihjiOdlk+m kj$iOY ]<qO]]<qOi;d¤[hjiOk>wxq"gl]\h r qiOkhC+]<m ]\w;hjgJk+p i;d¤[^dbt\h~iOdlk+m p'wxk+ gl]\[ dlm7hnY dl+YL± r de[]<m qOdlk+m'h~g qOp'h~t<]+ u`qhjmhjgliO]\wxm'hji;d{¡2]JiOk"±²]<qOi;d¤[hjiOk>wxq iOY ]JqOk~±²t\hjglg{] r h\¡2]\wOhj+] r ]\wxdl¡jhjiOdl¡+]o[^]<iOY k r =u{y> Y'hjq ']<]<m dlm>iw¢k r f t<] r d{m bLiOkLµj]\w<³ \2 hjm r v kj]<glgo]<iChjgSe³$ \++¨%XY ]d r ]\h kj"iOY dlq []<i;Y k r dlqziOk"]<qOiOde[hji;]oi;Y ]o]<uLp']<t<i;] r ¡jhjglf ]kji;Y ] =H]<dl+Y>i;] r > >w;h r dl]<m>ikjiOY ]`wx]<Lwx]<qOqOdlk+m Sf m t<iOdlk+mY dltYdlqk+ L¡>dlk+f q;g{s8p'wxk+pQk>wxiOdlk+m'hjgjiOk ] _ XY dlqJ[]<iOY k r gl]\h r qiOk"h ¥ ¦Q±²t<k+m qOdlqOiO]<mLi ]<qOi;d¤[hjiOk>w kj'iOY ]dlm r ]<u¡+]<t<iOk>yw =4t¢ hjglqO8k `#~+w r g{]hjm r X qOsL 'h+µjkj¡³2 \++ >@^ u`mh r ¡jhjm>ihj+]Jk~ iOY dlqhjp p'wxk>h~tY$dlq!iOY'h~idlihjglglk£¶q iOk]<qOi;d¤[hjiO] iOY ]¡+]<t<iOk>^w ] _ r dewx]<t<i;g{s hjm r"r k>]<q m k+i!wx] Lf dewx] iOk"q;k+gl¡+]h$Y'h+w r k+p iOde[zd t\hjiOdlk+mp'wxk2 g{]\[« ¶mL4k>w¢iOf m'hjiO]<gls+³iOY ]t<k+m r dliOdlk+m qJwx] Lf dewx] r 4kLw iOY dlq []<i;Y k r i;k,k>wOµ8h+wx]`wOh~iOY ]\wJwx]<q;iwxdlt<iOdl¡+]+[ qLkLwJdlm qOihjm t<]+³+iOY ]$wx]<>wx]<qOq;k>wx9q ( [8f qOip'k2qOqO]<qOqh q[^k>k+i;Y r ]<m qOdliÀs+ u +]<m ]\wOhjglzd t\hjiOdlk+mCkjiOY ] u{ Sk>wiOY ]"t\h~qO]"Y ]\wx]"iOY ]"t<kL[p'k+m ]<mLiOqk~ ( % h+wx]t<k+mLiOdlmLf k+f qohjm r k>w r dlqOt\wx]<iO]$Y'hjq ']<]<mp'wxkj¡>d r ] r dlm `#~2w r gl]`hjm r `k>w¢k£¶d{i t+³ \+ «]\hjm>¶Y d{gl]+³ hjm]<qOiOde[h~iOk>wE4k>w i;Y ]oq;f >¡+]<t<i;k>w k~ ] _ Y dltYt<k>wOwx]<q;p'k+m r q iOk"iOY ]t<k2m>iOdlmLf k+f q p'h+w¢iok~ ( d{q$p'wx]\wx] Lf dlqOdliO]+ u`m k+i;Y ]\w r dewx]<t<i[^]<iOY k r kjJiOY ]8d{m r ]<unt<k>]t<d{]<mLi$]<qOiOde[hjiOdlk+mCY'h~q` Q]<]<m p'w¢k+p'k+q;] r d{m d hjm r $f'hjm ³ \++¨³+Y ]\wx]"i;Y ]"qOdlm +gl]±²d{m r ]<u[^k r ]<gkjiOY ]$Sk>wO[ . . $6% , ZI"
(17) v: ( %]d&';J%). dlq"t<k+m t<]\wxm ] r =HY ]\wx]S; % d{q"q;f p p'k+qO] r iOk Q],dlm r ]<p']<m r ]<mLi"kjy( % >@ u [h\y;k>wzdlm t<k+m>¡2]<m d{]<m t<] kjiOY dlq-hjp p'w¢k>hjtYCd{q8iOY'hji$dli,t\hjm ']hjp p gld{] r k+m gls d iOY ]wx]<>wx]<qOq;k>wxqU( %zY'h¡+]hjm]<g{gldlp iOdlt r dlqOiw¢d{ f i;d{k2m Sm0iOY ]Cp'wx]<q;]<m>ip'hjpQ]\w]´dlmLiwxk r f t<]hm ]< iÀsLp']Ck~ r dewx]<t<i]<qOiOde[h~iO]´k~`iOY ]Cdlm r ]<u t<kL]´t<dl]<m>Si ] _ zSit\hjmC '],w¢]<>h+w r ] r h~qh~mCd{i;]\wOhjiOdl¡+]$de[p'wxkj¡+]\[]<mLikjiOY ]h¡+]\w;hj+] r ]\wxdl¡jh± iOdl¡+]]<qOiOde[hjiOkLw<"XY ]f m r ]\wxgls>dlm d r ]\xh =Shjq$Sk>wi;Y ] u{ []<i;Y k r >¶dlq,iOY'hji$iOY ]>wOh r d{]<mLi kjiOY ]8Sf m t<iOdlk+Mm 79"V6), ZI" V \ ] _ )"dlq,p'wxk2p'k>wxi;d{k2m'hjg!i;ok ] _ ]qOY kjiOY'h~i"iOY ]p'wxk+pQk+qO] r ]<qOi;d¤[hjiOk>w dlq ¥ ¦Q±²t<k+m qOdlqOi;]<m>i\ XY ]wx]<qOf gliOqJh+w¢]J¡£h~g{d r f m r ]\wwOhjiOY ]\w [dlg r t<k2m r d{i;d{k2m qk+miOY ] r ]<qOdl+rm "( %)*&+, .&21m1D1m&¦ u$m k+iOY ]\w¶de[p'k>w¢ihjmLiS]\hjiOf'wx]kjiOY dlq,p'wxkLt<] r f'wx]dlq,iOY'h~i"d{i8dlq Sf glg{s h r h~p iOdl¡+]"dliOY wx]<qOpQ]<t<i`iOkf m'µ+m kjmnq[kLk+iOY m ]<qOqp'w¢k+p']\wxi;d{]<q$kjJiOY ]8gld{m'µ 4f m t<i;d{k2m XY k2f +Y] r k,m k2ioh r r wx]<q;qiOY ]`p'w¢k+ gl]\[kj dliOqoh~qOs [^p iOk+iOdlt]´t<dl]<m t<s+³Lo]¶t\hjmm k+iO]¶iOY'hji h ¥ ¦Q±²]<q;iOde[hjiOk>w t\hjm ']"f qO] r hjqh r ]<p'h+wxi;f'wx]`pQk+dlm>izSk>wziOY ]$qOkt\hjglg{] r xk+m ]±²qOiO]<p]´t<dl]<mLi ]<qOi;d¤[hjiOk>w `hjq r d{q;t<f qOqO] r ³ ]+ Q!dl} m $]<g{]<t\w¢k+dlu´]<i`h~g4 ³ + XY ]p'hjpQ]\wJdlqzk>wx>hjm zd t<] r h~qSk+glg{kjq m´i;Y ]m ]<u>izqO]<t<iOdlk+m] r ]<q;t\wxdl ']$iOY ]`]<q;iOde[hjiOdlk+m hjgl+kLwxdliOY'[C ]<uLi$iOY ],p'wxk2p']\wxiOdl]<q$kjJiOY ]8p'wxk+p'k2qO] r hjgl+kLwxdliOY'[ h2wx],qOi;f r d{] r dlm bL]<t<iOdlk+m m bL]<t<iOdlk+m _ ]Ct<k+m qOd r ]\w r ]<ihjdlg{qkjde[p gl]\[]<mLihji;d{k2m%kj`i;Y ]p'wxk+pQk+qO] r ]<qOi;d¤[hjiO]Chjm r p'wx]<q;]<m>iq;k>[]$qOde[,f gehji;d{k2mwx]<qOf gliOq\XY ]"p'wxkLkjh2wx]`LhjiOY ]\wx] r dlm bL]<t<iOdlk+m + . . [.
(18) .
(19) . ) (¶O - -
(20) Q! 8 ],q;ih+wxizdliOYCiOY ]"dlmL4kLwO[hjg r ]<qOt\wxdlp iOdlk+mCk~iOY ]$p'wxk+pQk+qO] r ]<qOi;d¤[hjiO]+ . . .
(21)
(22) . ]<if qqOf p p'k+q;]Sk>wh [k>[]<mLiiOY'hji G , hjm r i;Y ]k+ qO]\w¢¡£hjiOdlk+m qv( %,h+wx]CqOt\h~iOiO]\wx] r f m d Sk>wO[glsk£¡2]\wJi;Y ]"q >f'h2wx] B 4&2. E < XY ]d r ]\h kji;Y ]t<k+m qOiwxf t<iOdlk+m0dlq h~q4k2g{glkjq\ru$qOqOf'[^]CiOY'hji]h+wx]CdlmLiO]\wx]<qOi;] r d{m ]<qOi;d¤[hjiOdlm 7hjik+m ]kj"iOY ]Cp'k+dlmLiOqa( %"hjm r iOY'hji] µ2m kj d{mh r ¡£h~m t<]CiOY'hji 7 dlq dlp qOtY dli t"t<k+mLiOdlm>f k2f qohj9 i ( %xXY ]<miOY ]m'hjiOf'w;hjg h\s8iOk,]<q;iOde[hjiO] %-, v7 " ( %)dlqiOk8f qO] h xglkLt\hjg ,gl]\hjqOix±² q Lf'h+wx]<qz]<qOiOde[hji;] ( C (v% & =S| e > 6% , B $ C<$ %^C \ "( C( %) E Y ]\w¢A] c "'KL) dlqp'k+qOdliOdl¡+]$hjm r qOf p pQk>wxiO] r k28m BmC.&2.jE ³qOk,iOY'h~iiOY ]]<dl+Y>i;qJkj hjglg pQk+dlm>iOq ( k2f iOqOd r ]hCm ]<dl+YL 'k>wxY kLk r "( % )kj r d¤h2[]<iO]\w h+w¢k+f m r ( % ¡£hjm dlqOY XY ]<m iOY ],h¡+]\w;hj+] r >w;h r dl]<m>i . . . . . . . !. 0. #"%$'& (*),+ / 0 -. 0. .. 0. 0. 57698. 4 . 5. =<?>. :. _ , .. ¦. t\hjmC Q],]<qOi;d¤[hjiO] r dliOY. ¦. }]<t\h~g{g iOY'hji [_ , .. .. .. /. 79"( % ) . % 132 /. .. % 132. %'1 !. v7 " ( % )9, ]J_BA .. ¦ % XY dlq$de[p gld{]<q$iOY'hjid iOY ] >f'h~m>iOdlixs . /. o, . !. ¦. . 1@2. ¦ - . : . 132. . . /. .. % 132. . /. ZDC "( % \ ] _*). .. % 132. ZDC "( % \ ]J_3)'E 1. 8. . ;.
(23) _. D . dlq$qO]<p'h+wOhji;] r hhs"²wxk>[ <t ]\wxk'³Lk+m ]"t\hjmCt<k2m qOiwxf t<ihjm]<qOiOde[hji;] ] k~ ] _ jh q !. S| | ¶k+iO]$iOY'hjik+m ]$t\hjmCk+ ih~d{miOY ]¶4k2g{glkjdlm f p pQ]\w 'k+f m r Sk>w iOY ]"]\wOwxk>w kj!iOY ]"]<q;iOde[hjiO] Y =S| 3 > oC _ : ¥ & ¦ Y ]\w¢] dlq`h8m k>wO[h~g"hjf qOq;d¤h~m wOh~m r k>[ ¡£h+wxdehj gl]"dliOY t<]\wxk[]\hjm XY ]"wxdl+YLiY'hjm r q;d r ] kj =S| 3>8d{q8t<k>[p'wxdlqO] r kjixkCiO]\wO[q\CXY ] WwxqOi,i;]\wO[dlq-i;Y ] r ]<iO]\w;[dlm d{q;iOdlt´]\wOw¢k> w =HiOY ] dehjq>@³>¶Y d{tYCdlq r f ]"iOkiOY ]"]\wOw¢k>wdlmCiOY ]$glk>t\hjg hjp p'wxkju>de[h~iOdlk+mkj 7n Ls´h8gld{m ]\h2wz4f m t<i;d{k2m XY dlqz]\wOwxk>w dlqJp'wxk+pQk>wxiOdlk+m'h~g>iOk XY ]qO]<t<k+m r iO]\w;[ dlqiOY ]qOiOkLtY'h~qOiOdlt]\wOwxk>w Y dltY dlqdlm r ]<p']<m r ]<mLikj97!³LiOY dlqiO]\wO[ dlqixs>p dlt\hjglgls´k~EkLw r ]\w#" ¥ ¦ ) JXY ]$ 'hjgehjm t<]$kj!iOY ]$ixok iO]\w;[q+dl¡+]<q
(24) ¦ hjm r iOY ]"]\wOwxk>w HC _ , "S¦ *)*& hjm r ]SCM] _ , "S¦ )*& Sk>wziOY ]"]<qOiOde[h~iO] ]^d{m =S| 3| >< XY dlqJwOhjiO]kj't<k+mL¡+]\wx2]<m t<w] =S¦ > dlq\³jkjt<k+f'wxqO]+³+[8f tYokLwxqO]iOY'hjm¦ iOY'hji t\hjm '] hji;ihjdlm ] r 4k>wiOY dlq"p'wxk+ gl]\[CA `¶kjo]<¡2]\w<³ iOY ]qOde[p gl]]<qOi;d¤[hjiO] =S|¨ 2| >¶t\hjm ']q;d{2m Ld W't\h~m>iOgls de[p'wxkj¡+] r q dewxqOi]m k+i;]iOY'hji"iOY ] dehjq,k~`iOY ]]<qOi;d¤[hjiO] =Hi;Y a] WwxqOi"iO]\w;[dlm i;Y ] wxdl+YLi Y'hjm r qOd r ]kj = | >>dlqd{m h~t<ip'wxk+pQk>wxiOdlk+m'hjgiOk iOY ]Cd r iOY%k~iOY ]np'wxk£y;]<t<iOdlk+m kj"iOY ] qOp Y ]\w¢d{tdlm r kj "( %)<³ r ] W'm ] r >sniOY ]´µj]\w¢m ]<g " K )$k2m i;Y ] r dewx]<t<iOdlk+Mm ] _ $m iOY ] k+i;Y ]\wY'hjm r ³i;Y ]"Sf m t<iOdlk+m 7 dlq"t<k+m qOihjm>i¶d{miOY ] r dewx]<t<iOdlk+mk>wxiOY k2+k+m'hjgiOHk ] _ ³qOk´]8t\hjm qOiwx]<iOtY iOY ]dlm r kj "( %) hjglk+m niOY dlq r dewx]<t<iOdlk+m dliOY k+f i8d{m t\w¢]\hjqOdlm iOY ] dehjq,i;]\wO[C XY k2f +YiOY ]8iwxf ]8d{m r ]<u ] _ dlq$m k+i"µ+m kjm ³ ]8Y'h\¡2]-hjgewx]\h r sChwOhjiOY ]\w2k>k r ]<qOi;d¤[hjiO],k~ dli r f ]"iOk =S| 2| >< ¶kjo]"p'w¢k>t<]<] r hjq4k+glglkj2q YJh~ih~m>s ( % o] r ] W'm ]-h~mC]<g{gldlp iOdltdlm r kj t<]<mLiO]\wx] r hj i (v%`dliOY0i;Y ]Cq[hjglg`hjuLdlqkj"qOzd t<] H" )<³k>w¢d{]<mLiO] r hjglk+m ] ³oh~m r iOY ] geh+wx2] hjuLdlqkjqOzd t< ] " )8k>wxiOY k2+k+m'hjgiOk ] ]Ct\hjm ]<uLp']<t<iiOY'h~i,d d{qq[hjglgJ]<m k2f +Y hjm r ]dlq"t<glk+qO]i;k ] _ iOY ]<miOY ]]\wOwxk>wkjhjp p'w¢k£uLde[hjiOdlk+mCk~ 79"V ) , Z["V \ ] _ )$ >shgldlm ]\h+w Sf m t<iOdlk+m dlm iOY ]m ]<dl+YL 'k>w¢Y k>k r kj ( %Jk+f g r ']wOhjiOY ]\w¶q[hjglgSSmk>w r ]\w$iOk r ] W'm ] qOf tY hjm]<glgldlp iOdlt´¶d{m r kj ],qOf qOi;d{i;f iO]iOY ],]<dl+YLiOq " ( Cx( % )dlm =S| e* >¶dliOY " ! " "( C ( % ) )<³LY ]\wx]"iOY ]$p'k+q;d{i;d{¡2],qOs [[]<iw¢d{t"[hjiwxdlu !. ]! , . 8. 8. !. . 2. 8. !. 1. = 3>. 8. !. :. 8 8. . :. :. :. :. . 2. .. >. 2. ! 4 . 8. !. 8. !. 2. 8. 2. 8. 2 . 2. 5. < >. :. < >. < >. !. :. !. !. :. 0. < >. 5. 0. :. . 8. 8. 5. . ! #". , PU:. . :. . 8. 8. . ] ]3\. 2 ! !. [.
(25)
(26) . r ] W'm ]<qiOY ]x]<glg{dlp iOdlt+]<kL[]<iwxs$kj iOY ]Jdlm r kj, =`]\w¢] P r ]<m k+iO]<q iOY ]zf m dli XY ]<mC]"t<k+mLiOdlmLf ],hjqhj 'kj¡+] Y ]`t<kL[p f iO]"iOY ]"]<qOi;d¤[hjiO]<q %. ! 2 . ,. "%$'& (*),+ / 0 -. hjm r i;Y ]<d¤w¶h\¡2]\wOhj+]. .. 0. 0. B $ C$ % C4 \ "(. 5. A 8. "#. 132. -, .. ¦. ! 2. dlm'hjglg{s+³]"t<k>[^]`f pCdliOYCi;Y ]"]<qOiOde[hjiO] q. C( % ) E . "(. ]!. 2. . /. ,. % 132. 8. 0. C<( %). : . ±À[hjiwxdluL>. &. = >. S| _. % 1. ! 2 . ! 2 ! 2 . 1. ¶4i;]\wJq;k>[]$iO] r dlk+f qt<k>[p f ihjiOdlk+m q]`k+ ihjdlmCiOY'hjid !Sk>wzqOk>[]
(27) ³ ³>i;Y ]"]<qOiOde[hjiO] ] qhji;d{ q W']<q u. 8 E. G G. . ! 2. 8. ]! CM] _ S 8. hjm r.
(28) : : ¥ 8 ¦ 8 : 1 bLdlm t<] H,H"S¦ 2 )@³ iOY ]"tY k+dlt<] : ,H"'.2)hjm r , ¦ 2 + dl¡+]<q ]! 2 C] _ 8 , "S¦ 2 )*& 8 8. ]!. 2. CM] _. 8. qOkiOY'hjiiOY ]"]<qOiOde[h~iO] ] dlq`¥ ¦ ±²t<k2m qOdlqOiO]<mLi\ XY dlqoq;d¤[^p g{],[^]<iOY k r kj d¤[^p'wxkj¡+]\[]<mLikj iOY ]`q;d¤[^p g{]"]<q;iOde[hjiO] =S| |2>t<k2m qOiOdliOf iO]<qziOY ] 'hjq;d{q"k~iOY ]hjgl+k>wxdliOY'[ r ]<qOt\wxdl '] r ']<glkj,S`kj]<¡+]\w<³LiOY ]\wx]8ixokp'wxk2 g{]\[^q`Y dltYqOY k+f g r Q]-h r r wx]<q;qO] r Y +Y ]<miOY ]`[k r ]<g r de[]<m qOdlk+Hm G
(29) -k2m ]t\hjm m k+izih+µj]iOY ] xk2p iOde[hjg dlm dliOdehjg dlm r kj , "S¦ ) dlm =S| e* > Y dltY 'hjgehjm t<]<q iOY ]iO]\wO[^q dlm-i;Y ]w¢d{2Y>ix±²Y'h~m r qOd r ]kj = | >< XY ]wx]\hjqOk2m$4k>w dlidlqiOY'hji iOY ]\w¢]Jdlglg m k+i ']]<m k+f +oY =HdS ]+5 Gf: .2> k+ qO]\wx¡jhjiOdlk+m q pQk+dlm>i;q dlmiOY ]Jm ]<dl+YL 'kLwxY k>k r "( %) m ]<] r ] r iOk$t<k>[p f iO]#h G~± r de[]<m qOdlk+m'hjg ¡+]<t<i;k>w %x $m ] Y'hjq"iOkCih2µj] , "S¦ F )$d{m iOY dlq"t\hjqO]+XY ]\wx]Sk>wx]+³¨Sk>w G
(30) $³ h ¥ ¦Q±²t<k+m qOdlqOiO]<mLi ]<qOiOde[hji;]kj ] _ t\hjm m k+iz ']$k+ ihjdlm ] r hjqh,wx]<q;f g{izkj!h"qOdlm +gl]"dliO]\wOh~iOdlk+m ³jiOY ]$d{i;]\wOhjiOdlk+m dlqJiOk8 ']`wx]<pQ]\hjiO] r qO]<¡+]\w;hjg iOde[]<qdlm´kLw r ]\w iOk,hjiOihjdlm-i;Y ]`wOhjiO]kjt<k+mL¡+]\wx+]<m t<]¦ ! 2. :. 2. < >. :. !. 2. 2 . - .
(31) D . | XY ]\wx]"dlq,hjglqOk´h~m k+iOY ]\wwx]\h~qOk+mCiOk´[h+µj]"qO]<¡+]\w;hjgd{i;]\wOhjiOdlk+m q]<¡2]<mdlmiOY ]"t\hjqO]8Y ]<m G Y"iOY ] dehjq"iO]\wO[k~oiOY ]]<qOiOde[h~iOdlk+m]\wOwxk>w$wOhjp d r gls ']<t<k>[]<q"m ]<2g{dl+dl gl]dliOY wx]<qOpQ]<t<i"iOk´i;Y ]^[hjdlm q;iOk>tY'hjqOi;d{t8iO]\wO[C $miOY ]k+iOY ]\w¶Y'hjm r ³iOY ]qOi;k>tY'hjqOiOdlt8iO]\wO[ r k>]<q"m k2i r ]<>w;h r ],m k+i;d{t<]\h~ g{s r f'wxdlm CiOY ],dliO]\w;hjiOdlk+m q\"XY ]\wx]Sk>wx]+³Qk+m ]8t\hjm hjiOiO]<m iOY ]dlm r kjqOglk£¶g{s+³]+ '" LsiOY ]8²hjt<iOk>w¶kj ³dlm iOY ] r dewx]<t<iOdlk+m kjJiOY ]t<k+m t<f'wOwx]<mLi ]<qOiOde[hji;] ] =Shjm r qOiwx]<iOtYdliqOglkjgls dlm0iOY ]´kLwxiOY k++k2m'hjg!q;f qOp'hjt<2] ><XY dlqhs] k+ ihjdlmCiOY ],h~g{2k>wxdliOY'[ Y dltYpQk+qOqO]<qOq;]<q+kLk r hjqOs [p iOk+i;d{t$p'wxk+pQ]\wxiOdl]<q`hjm r dlq Lf dliO] wxk+ f qOihjiiOY ]"qh+[]$iOde[]+ . !. % %
(32) D
(33) %
(34). . ]<i N#P Q RhP Q Q]´h4f m t<i;d{k2m ¶ Y d{tY ld q,pQk+qOdliOdl¡+]k+m B &2.2)Chjm r ¡£hjm dlqOY ]<q"]<glqO]<Y ]\w¢]+ ],t<k2m qOd r ]\wiOY ]$Sk+glg{kjdlm "Q¯' U
(35) ! "$#%"'&)("+*,&-#."0/'21 3-4$#65 , ³ 7 , 98 : ¦ ¦ <+=; > ?; & 7 ,8P6& @7 , .1 =S| 3> A SiO]\wOh~iOdlk+m r ]<q;t\wxdlp iOdlk+-m Y B-C "(4 @7
(36) 8" : `¦ +^¦ ) . 5. . . +. +. 6. :. . ;. 2. 4 ('/@K'&)(L#,/O( %M3'/)(I,#%"'/+ ! 7 "(v%)6/+NO# C 4J(4+&)3$# P+3+Q+I@&-R.4)3 DFE /GHI,#%4J# C J H,R,/S (4G VT UXWZY\[ !. ` "$# C. 7 " ( %)9,J] > ^ 2 _@^ ] > ^ _ ^ "V )9,. "( %). /0. 0. .. "$ C$6% )2" (. 0. C ( %) 5. 7 "(. 698. 132. /0. . 1@2. "(. 0. CV6)2"(. 0. CxV )'\ 5. 6 8. 7 "(. 0. 7. : . 0. 7. C ( %). : . C( % ) 8. . 8. ;. ba ;. [.
(37)
(38) . . FE /GHI,#%4J# C 4 G 4+& ! 7 /0N ! 7 "(v%) . ! 7 , ¦. $4 # ]! 7 , ! 7 8 ! 7 8 W 4$#F5g, 5o: . : 7 , : 7. E /,#%"I 4 ` "# C #.4H D
(39) BC "-(4 ! , ]! 7 W .4$R+G "@&-#.4 4$# ] . /. .. % 132. .. 2. !. 7 "(. 7 ,. S| . % )1. = 3 >. 7 2 % 7. 2 ]! 7 ]! \7 W. ,hPH:.
(40) )O ],t<k2m qOd r ]\wiOY ]$Sk+glg{kjdlm ´h~qOqOf'[p iOdlk+m q3Y < U¯ `XY ],µj]\wxm ]<gQSf m t<iOdlk+m "'KL)zqhji;d{q W']<qoi;Y ]$4k+glglkjdlm t<k+m r dliOdlk+m q2Y + dlq$m k+m m ]<>hjiOdl¡+]"hjm r Qk+f m r ] r >s .+³ dS ]+ "V ) . | dlqpQk+qOdliOdl¡+]k+rm B 4&3.2),h~m r ¡jhjm dlqOY ]<qJk2f iOqOd r ]+³jdS ]+ "V )
(41) nSk>w V8. h~m r " V )9, 8Sk>whjglg V . dlq$t<k+m>i;d{mLf k+f qOgls r d ]\wx]<mLiOdehj gl],k+m B 4&2. Ex < U¯ D `XY ],wOhjm r kL[¡£h2wxdehj gl]<Uq ; %!dlm =¢ +e >¶h+wx]$d{m r ]<pQ]<m r ]<m>i,h~m r d r ]<mLiOdlt\hjglgls r dlqOiwxdl f iO] r dliOHY t<]\w¢k^[^]\hjmhjm r ¡£h2wxdehjm t< ] < U¯ ,XY ]$4f m t<i;d{k2Hm ZCd{q$ixk-i;d¤[^]<q r d ]\wx]<mLiOdehj gl]dliOY h Qk+f m r ] r q;]<t<k+m r r ]\w¢d{¡jhjiOdl¡+]+³ Z " ) 4k>whjgl! g @oP Q a ],p f i . . 5. 5. . 5. 5. . 5. 5. . 8. 5. 8. . *. . . 8. . CC. 8. _ , .. ¦. /. .. % 132. 79"( %)*& . Y ]\w¢] 79"V6)9,OZ "V \ ] _ ) ] _ dlq!iOY ]z>wOh r dl]<mLi!k~ iOY ]wx]<>wx]<q;qOdlk+m$4f m t<i;d{k2m 79"V6)9,OZI" V \ ] _ ) $ L¡>dlk+f q;g{s+³ _ dlqp'wxk2p'k>wxi;d{k2m'hjg'iOk ] _ ],Y'h¡+]$iOY ]$Sk+glglk£¶d{m d r ]<mLiOdXWhj dlgldliÀs . C. . - .
(42) . D . < U¯ ` XY ]"¡£h~g{f ] . [ _ , 8 8. ¦. . /. .. % 132. ZDC "( % \ ]J_3)*1. ld q$qO]<p'h+wOh~iO] r hhs8 wxkL[/t<]\wxk'³LdS ]+ _ 8
(43) -4k>whjglg!¦ngeh+wx2]`]<m k+f 2Y Smk>w r ]\w5u`gl+k>w¢d{i;Y'[ iOk"k>wOµQ³jo]Y'h¡+]iOk"qOf p pQk+qO]i;Y'hji!i;Y ] r ]<qOdl+mpQk+dlm>iOq"( %)zh+wx] x]<glg r df qO] r hjm r ³hjqht<k+m qO] Lf ]<m t<]+³hjglg!iOY ][hjiw¢d{t<]<q ] ^ _ ^ "(v% )nh+wx],]<glg r ] W'm ] r $dl¡+]<mMh G G±À[hjiwxdlu ³+] r ] W'm ]"iOY ]$m k>wO[hjglzd t\hjiOdlk+m ] _ "V6)zkj ] _ "V6)*&>h~qJSk+glglkjq2Y gl]<i 8. . . 8. >. >. > _. iOY ]<m. " V )9,. .. /0. 576 8. 0. "(. : . 132. ] > _. "V6) ,. > _ .. .. "V6) :. ] > _ . "V ) "(. .. 0. CV ). CMV6). "(. 0. 8. >. ;. &. CV6) \. " (. 0. CV ). . > _ "V6) /0 132 6 : ; 6 : ; 5 6 8 : 8 ; 1 $ L¡>dlk+f q;g{s ] > _ "V )! 2 , > _ : ] > _ 2 dliOY , 2 < U¯ XY ]\wx]]<uLd{q;iJt<k+m qOihjm>i;q ³ jh m r qOf tYiOY'hji Sk>wJh~g{gQ¡£hjglf ]<q : 7 ,. h~m r 7 dlm>¡+k2g{¡2] r hjm r 4kLwJ]<¡2]\wxs?(v%²³ +Ji;Y ]Jdlm>¡2]\wxqO]J[hjiwxdlt<]<q ] ^ _ ^ "(v% ) h+w¢]o]<glg r ] W'm ] r hjm r f m d Sk>wO[gls$ 'k+f m r ] r dS ]+ >. 2. 7 "(. 0.
(44)
(45) ] > ^ _@^ "( % ) 2
(46)
(47) , : 7
(48)
(49)
(50) 7 ] > ^ 2 _.^ " ( % ) 7
(51)
(52)
(53) /0 5 6 8 : CMV6) 8 ; 132 =4Y ]\wx] 7 , 7 2 hjm r 8 *8 qOihjm r qzSk>wziOY ]A{f t<gld r ]\hjmm kLwO[ kj > _@^ 5 > ^ . /0 | a ^ _ .. . 5 > ^ 132 132 .. [.
(54) .
(55) .
(56)
(57)
(58) 5 C _ ^ > ^ 132 0 . 5 _ ^ > ^ 132.
(59)
(60). 0 .. .
(61) . 1. ¶]\wx] []\hjm qiOY ] r ]\wxdl¡jhjiOdl¡+]"kjiOY ],µj]\wxm ]<g ],t\h~mCm k£qOihjiO]$iOY ],[hjdlmwx]<qOf glik~!iOY ]"p'hjpQ]\w< !ªL¯'ª A 3d f
(62) d
(63)
(64) m * O *HD x
(65) d 4 4 J* .H ¦ m ldA*
(66) J l o ¦ ]SCM] _ ¥ ¦ U : : ¦ !#" "'C$ )^:&% : ¦ ¦ 1 ' `. 5. C. . 5. . . . . 2
(67) . . A. !. 8. 2. 8. 6. . . 2. ,. . . &. ;. . "'.y: 8. . _. . &. %. E. S e . ) &. = >. 8. ( )
(68) J
(69) m?u$gl+k>wxdliOY'[ `hjm r hjq;qOf'[p iOdlk+m qJhj Qkj¡+]o]Y'h¡+]m k+it<k+m q;d r ]\w¢] r iOY ]] ]<t<iOqzY dltY[hs kLt<t<f'w,hji"i;Y ]- Qk+f m r h+wxsnkjiOY ]t<f '] BmC.&3. EÀSm r ]<] r ³ 4kLwt<]\wxihjdlm ¡£hjglf ]<q8kj ]nhjm r iOY ] pQk+dlm>iOSq ( % Y dltYh2wx]"t<glk+qO],i;k^h^¡+]\wxiO]<uk~iOY ]"t<f Q],iOY ]8qOdzt<]"kjiOY ]$x] ]<t<iOdl¡+]8dlm r kj +³ dS ]+ziOY ] r deh+[]<iO]\wkj!iOY ]"dlmLiO]\wxqO]<t<iOdlk+mCk~iOY ]"q;]<i " "( %)9,+*JVHN " "VvC( %) -, dliOY0i;Y ]Ct<f ']Ct\hjm0 Q] [8f tY gl]<qOqiOY'h~m pgl]\h+wxgls+³ 4k>w8qOf tY p'k+dlmLiO q ( %Su`q;qOf'[p iOdlk+m r kL]<q-m k2i-Y k2g r $m ]Ck~i;Y ]´qOk2g{f i;d{k2m q-i;k i;Y d{qp'wxk2 g{]\[ t<k+f g r ']CiOkndlm t<g{f r ]ndlm0iOY ] ]<uLp'wx]<qOqOdlk+m =S|¨ > Sk>w k+m glsiOY ]]<qOi;d¤[hjiO]<q "( %)zY dltY]\wx]t<k>[p f i;] r kj¡+]\w x] ]<t<iOdl¡+] dlm r kjq k~ r deh+[]<iO]\w¶geh+wx+]\w$i;Y'hjm ³qhs+³ ¶t<k+f'wxqO]+³dlm k>w r ]\w$qOf tY hjm]<qOi;d¤[hjiO]iOk k>wOµiOY ]Cd r ]<m>iOXd Whj dlgldlixs u$qOqOf'[p iOdlk+m _ qOY k2f g r Y k+g r 4kLwiOY ]wx]<qOiwxdlt<iO] r q;]<ikj r ]<qOdl+m pQk+dlm>iOq] r km k+it<k+m q;d r ]\wiOY dlqqOdliOf'hjiOdlk+mw¢d{2k>wxk+f qOglsY ]\wx]+ SHm u$qOqOf'[p iOdlk+m 8]hjq;qO]<qOqJt<]\w¢ihjdlmCp'wxk+pQ]\wxiOdl]<qkj!iOY ] r ]<qOdl+Mm "( %)<4³ +-,/.&31m1m1m&¦!- qLkLw dlm qOih~m t<]+³ r kL]<qm k+i,Y k+g r ³hji8g{]\h~qOi"Sk>Aw G
(70) '³ dlm iOY ]´t\h~qO]Y ]<xm ( % 4kLwO[hwx]<+f geh+w >w¢d r 6³ ]t<k+dlm t<d r ]<q`dliOYCk2m ]"kj!iOY ],hjuL]<qkjiOY ]">wxd r hjm r %¦ F JSmCq;f tYht\h~qO]+³LiOY ] qO]<i.2* ( N ( C ( % _#/10 2 . , dlq`h8>wxd r Y>sLp']\wxp gehjm ]"k~ r de[]<m qOdlk+om GC ."hjm r iOY ]"[hjiwxdlu ] " "V6)dlq r ]<+]<m ]\wOhji;]+ $mi;Y ]-k2iOY ]\wY'hjm r ³Qk+m ],t\h~m ¡2]\wxd 4sCiOY'h~Ui u`q;qOf'[p iOdlk+m q_§ Y k+g r iwxf ]$d{mhwOhji;Y ]\w+]<m ]\wOh~gq;d{i;f'hjiOdlk+mCkjw;hjm r k>[ r ]<qOdl+m .
(71). < >. 8. :. !. 0. >. - . 8. 0. >. !. 8. 2. 8. :.
(72) . D . XY ]¡£hjglf ]<qk~,iOY ]t<k+m qOihjmLiOq & Y dltY r ] W'm ] iOY ] wOhjiO]nkj,t<k+mL¡+]\wx+]<m t<]nd{m X Y ]<kLwx]\[ r ]<pQ]<m r Y ]\h¡>dlgls´k2mCiOY ] r ]<q;d{2mM"( %)h~m r k+miOY ]"p'h+w¢iOdlt<f g¤h2woµ~]\wxm ]<g ¶k+iO] iOY'h~i!d iOY ]µj]\wxm ]<g qhjiOdlq'W']<q9u$qOqOf'[p iOdlk+m +³jiOY ]<mh$qOde[p gl] Qk+f m r 4k>w t\hjm ']]\hjqOdlgls k+ ihjdlm ] r =Ht¢ ]\[[h `dlmbL]<t<iOdlk+m ><9`¶k£]<¡+]\w@³jiOY dlq 'k+f m r dlq`w;hjiOY ]\wpQ]<qOqOde[dlqOiOdlthjm r [hsL ']qOdl+m Xd W't\hjmLiOgls de[p'wxkj¡+] r Sk>whp'h2wxiOdlt<f geh+w r ]<qOdl+m = Sk>w"dlm qOih~m t<]+³Y ]<m "( %)h+wx] f m d Sk>wO[gls r d{q;iwxdl f iO] r ³ d{q$t<glk+qO]"iOkH."¶d{i;YCk£¡2]\wxY ]<ge[dlm p'wxk+ 'hj dlgldliÀs4>< Js8dlm qOp']<t<iOdlm 8iOY ]p'wxkLkj'kjiOY ]iOY ]<k>wx]\[ k+m ][hs"t<k+m t<glf r ]iOY'hjihjglg iOY ]`w¢]<qOf gliOqY k+g r dlm iOY ]t\hjq;]-k~JY ]<iO]\wxk+qµ~] r hjqOiOdlt "h~f qOqOdehjm]\wOwxk>w¢Hq ;J% ³Y kj]<¡+]\w dlq,iOk ']f m r ]\w¢qOiOkLk r hjq " % ; % bLd¤[^d{geh+w¢g{s+³QiOY ],wx]<q;f g{i;qh~p p g{sSk>wzm k+mL± "hjf q;qOdehjmC]\wOwxk>w¢qJf m r ]\wiOY ]"t<k2m r d{i;d{k2m " " d; %)
(73) % ! " Sk>wx]q;k>[]p'k+q;d{i;d{¡2]`t<k+m q;ihjmLiOq hjm r
(74) ¨ ¶ t<k+f'wxqO]+³jdlmiOY dlqoq;d{i;f'hjiOdlk+miOY ]¶t<k+m qOihjmLi dlm = e* >zd{q$iOk '],[^k r Xd W'] r $m ],m'hjiOf'w;hjg Lf ]<qOiOdlk+mCiOY'h~i`h+wxdlqO]<q¶Y ]<mXY ]<k>wx]\[ "dlq$t<k+m t<]\wxm ] r dlq¶Y'hjiY'hjp pQ]<m q d iOY dlq`[k r ]<gEh~qOqOf'[p iOdlk+md{q¶d{m'h r ] >f'hji;]+³>dS ]+ d iOY ]"wx]<>wx]<q;qOdlk+mSf m t<iOdlk+8m 79"V ) r kL]<qm k+i pQk+qOqO]<qOqh¶qOdlm +gl]±²d{m r ]<uqOiwxf t<iOf'wx]+ id{qµ2m k£¶m,iOY'hji iOY ]oh¡+]\wOh~+] r ]\wxdl¡£hji;d{¡2]o[]<iOY k r 2d{¡2]<q h¥ ¦Q±²t<k+m qOdlqOiO]<mLi]<qOiOde[hji;]"kji;Y ]"¡+]<t<iOk>w 79"V6)a"V )6G V dliOYqOkL[]`]<dl+YLiSf m t<iOdlk+m Y dltY r ]<p']<m r qk+miOY ] r ]<qOdl+m r ]<m q;d{ixs =4t¢bLiOk>µj]\w@³ \+ $hjm r v kjo]<glgL]<iohjgSe³Q \++0 >-u qOde[dlgeh+w wx]<qOf gli Y k+g r q4kLwiOY 5] WwxqOi qOiO]<p"]<qOiOde[h~iO] ] 8 ³Y kjo]<¡2]\w<³m k£iOY ]wOhjiO] kj t<k+mL¡+]\wx+]<m t<] dlqJ¦ 4kL-w G h~m r ¦ F 4kL[w G
(75) ' ¶mLSk>wxiOf m'hji;]<g{s+³d iOY ][k r ]<g>qOiwxf t<iOf'wx] r kL]<qm k+i t<k>w;wx]<qOp'k2m r iOk =x +e* > Sf'wxiOY ]\wzdliO]\wOhjiOdlk+m q r km k+igl]\h r iOk8iOY ]"de[p'wxkj¡+]\[]<mLiJkj iOY dlqodlm dliOdehjg ]<qOi;d¤[hjiO] f i,[hsn]<¡+]<m r ]<iO]\wxdlk>w;hjiO]iOY ]´hjt<t<f'w;hjt<skj]<qOi;d¤[hjiOdlk+m ´XY ]´wx]\hjqOk2m dlq8iOY'hji iOY ]tY k+dlt<],kjJi;Y ],qOpQ]<t<Ld W't^4k>w;[ kjJm k+m p'h+w;h+[]<iwxdlt$m ]<dl+Y> Qk>wxY kLk r hjglglk£¶q`iOkCwx] r f t<]8iOY ] dehjqk~!iOY ]$]<qOiOde[hjiO] ],k2m g{sSk>wiOY ]$qOpQ]<t<d¤h~g qOiwxf t<i;f'wx] =x +e >Jk~!iOY ]"wx]<>wx]<qOq;d{k2m4f m t<i;d{k2m XY ]\w¢]4k>w¢]hjm>s0hjp p gldlt\hjiOdlk+mkj"iOY ]p'w¢k+p'k+q;] r p'wxkLt<] r f'wx]CqOY k+f g r ']nt<k>[8 dlm ] r dliOYh t\h+w¢]4f g+y;f qOiOXd W't\hjiOdlk+mCkj iOY ],[k r ]<g!hjqOqOf'[^p iOdlk+m 5. 5. . @. .. 2. . .. 2. 2. . . !. 2. . 2. !. )$ O
(76) Q -)
(77) -);
(78) m-kLw r ]\wiOkde[p gl]\[]<mLi9u$g{2k>wxdliOY'[ zk+m ]Y'hjq iOktY k>k2qO]JiOY ]zt<k+m qOih~m>i 98 dlmiOY ] r ] W'm dliOdlk+m =S|¨ >"kj`i;Y ]dlm d{i;d¤h~g 'hjm r d r iOY 8 XY dlqqOY k+f g r '] r k+m ]iOk+f'h2wOhjmLiO]<]iOY ] [hjiwxdlt<]<q ] "( %)$iOkC ']m k+mL± r ]<2]<m ]\wOhjiO]8Sk>#w + , .&31m1m1m&¦ =4t¢a u$qOqOf'[p i;d{k2m ><CkLwx]<kj¡+]\w<³Qk+m ] t\hjmCdlm t<glf r ]dlmCiOY ]"qOf'[ dlmiOY ]$]<u>p'w¢]<qOqOdlk+m =S| 2>zk+m gls´i;Y k+qO] + qzSk>wzY dltYCiOY ]"]<q;iOde[hjiO] 7 "( %)$dlq,]<glg r ] W'm ] r =HdS ]+iOY ][hjiwxdlu ] "( %)$dlq,]<glgt<k+m r dliOdlk+m ] r >< pgl]\h+wxgls+³ iOY ] !. . . . :. >. !. . . > 2. [.
(79) + .
(80) . 'hjm r ¶d r i;Y 8 dlqiOk ']"q;]<g{]<t<i;] r d{mCq;f tYh8hsiOY'hjiziOY ]"iOk+ih~g m>f'[8 ']\wzkj qOf tYCi;]\wO[qdlq H"S^¦ )< :. . .
(81) . . \ Z% . $m k+iOY ]\w8[]<iOY k r i;k]<m qOf'wx]iOY'hji"iOY ]´[hjiwxdlt<]<q ] ^ _@^ "( %),h+w¢]-]<glgJt<k2m r d{i;d{k2m ] r dlqiOk qO]<gl]<t<i`h~io]\h~tYdliO]\wOhjiOdlk+miOY ]$ 'hjm r d r iOY 7 "( %)J¶Y d{tYCdlqp'wxk+pQ]\wziOk,]\hjtYp'k+dlmLiU( %x E]<i _ "V )zqOihjm r Sk>wziOY ]"t\h+w r d{m'h~g{dlixskji;Y ]"qO]<i /,2* (v%[N "(v% CxV ) , 1 $m ]t\hjm tY k>k2qO]+³Sk>w$dlm qOihjm t<]+³ 7 "( %)"qOf tY iOY'hji % " ] ^ _.^ "(v%)) 8
(82) «k>w qOf tYiOY'hji ^ _ ^ ¦ 8 =Hixs>p dlt\hjglgls+³ ¦ 8
(83) G : .$k+f g r +dl¡+] h m k+mL± r ]<+]<m ]\wOh~iO]`[hjiwxdlu ] ^ _@^ "( %)>< ]-wx]\hjglzd t<]"iOY dlqd r ]\hd{mniOY ]¶4k+glglkjdlm "Q¯' U D
(84) ! "$#%"'&)("+*,&-#."0/'21 4$N." 4J# C 4J34$# /0N &
(85) +G "33-"$S ()4LS@&
(86) ` "
(87) # C 3F&)3 N,/)(('/ ` 3 1 34$# 8 ,¦ F ,* % , 8 % F &y+-, 4&21m1D1m&2CBLG : 8 E :8. , A =HY ]\wxa] BmK E qOihjm r qzSk>wziOY ]"dlm>i;]<+]\wp'h+wx i >< u. >. :. >. . 8. :. 8. :. . >. . >. .. >. :. 2.
(88) . 2. . :. . I,#. 5a,. :. 4& . .7. . #. ,/.0&. 7. &. ,8P6&. A SiO]\wOh~iOdlk+m r ]<q;t\wxdlp iOdlk+m-Y -B C " (4 @7
(89) 8" : +`¦ +¦^) 2 D /+R 4'&)K C ( % 34(4-K$# : 7 "( % )6&)3 N,/)(-('/ ` 3 . :. "(v% )9,. -*. (B) +. :. @ N. 7. . :. , G61. > _.^ "(v%) 7 , 1. 4 ('/@K'&)(L#,/O( %M3'/)(I,#%"'/+ ! 7 "(v%)6/+NO# C 4J(4+&)3$# P+3+Q+I@&-R.4)3 FE /GHI,#%4J# C J H,R,/S (4G VT UXWZY\[. - .
(90) \|. D . 7 "( %)9,J] > 2 _ ^ "( %) . !. /0. ] > _@^. "V6)9,. C ( %) 5. 7 "(. 6 8. "(. 0. 0. CV6)2"(. CV )'\ 5. 698. 7 "(. : . 132. E /GHI,#%4 . /0. "$ C $6%)2"(. 0. : . 132. ` "$# C. .. 0. .. % )9,. ["(. . ] > _@^ "(. 0. 0. C ( %) "( %). C( %) " ( %) 8. . 8. ;. ba ;. % ) . &
(91) J# C 4 ` 4" C #.4
(92) 3 IG ! 7 /0N ! 7 "(v% )*Y !. 7 ,. /. .. % 1@2. ["(v%) !. $4 # ]! 7 , ! 7 8 ! 7 8 W 4$#F5 , 5H:g. .7 , @ 7 2 % 7 E /,#%"I 4 ` "# C #.4H D.
(93) BC "-(4 ! , ]! 7 W .4$R+G "@&-#.4
(94) 4$# ] . H_'e . 7 " ( % )1. = >. 7 2 ]! 7 ]! \7 &
(95) 7. , P :. , F. 7 2W. ¶k+iO]iOY'hji$dlm =H_'e ><³ bLiO]<p _]t<k>[p f iO]ho]<dl+YLiO] r qOf'[kj 7 "(v% )<XY ]wx]\hjq;k+mCSk>w iOY dlq`[^k r dXW't\hjiOdlk+mCk~!iOY ],hjgl+k>w¢d{i;Y'[ dlq`w;hjiOY ]\wiwOhjm qOp'h+w¢]<m>i2Yi;Y ]"o]<dl+YLikj!iOY ]A+4±²iOYiO]\wO[ dlm%i;Y ]CqOf'[ dlq´geh+w¢+]´d ,iOY ]Ct<kLwOwx]<qOpQk+m r ]<m>i[hjiw¢d{u ] _ ^ " ( % )^d{qo]<glgt<k2m r d{i;d{k2m ] r ³ hjm r ³ k+m iOY ]t<k+mLiwOh+w¢s+³iOY ]iO]\wO[^q"Y dltY t<k>wOwx]<q;p'k+m r iOknd{glg ±²t<k+m r dliOdlk+m ] r [h~iwxdlt<]<q,Y'h¡+] wx]<gehji;d{¡2]<g{sCq[hjglgo]<dl+YLiOq\ !. . >. . %
(96) J%
(97) + Z . . . ]p'wxkj¡>d r ]Y ]\wx]´hjm]<u h+[p gl]kjiOY ]f qO]kj u`gl+kLwxdliOY'[|Cdlm iOY ]^4k+glglkjdlm CqOde[8f g¤h~iOdlk+m ]<u h+[p gl]+],t<k2m qOd r ]\whY ]<iO]\wxk2qOt<] r hjqOiOdltq;d{m 2g{]±²dlm r ]<uwx]<>wx]<qOq;d{k2m [k r ]<g $6%-,OZ ( % \ ] _y:<; %&. [.
(98) \.
(99) . Y ]\w¢] Z " ) , e ;J% 8 ( %
(100). &. 4& ZI"(. % \ ] _2) 9&. jh m r (v%A, " ( % &213121 & ( % F ) \ @/P Q F Sk>w Gx, hjm r G , 0Sm iOY ]Ct\hjqO]oG , ] ih2µj]?] _ ,}"'C.&2.0&2.&3.j) \ %Y ]<m7 G ,o] _ , "'C.&3.&2.0&2.&*.&*.0&*.&*.2) \ ¥ CSm 'k2iOY qOdliOf'h~iOdlk+m q ( %
(101) " 414&3.2)x³y( %
(102) " 4&2.3)Sk>w 5O, 4&3121214& hjm r 5O, 4&3121314& wx]<q;p']<t<iOdl¡+]<gls+XY ]`t<kL[p'k+m ]<mLiOqkj9( %h+wx]$d{m r ]<pQ]<m r ]<m>i $m q dl+f'wx] ]p'wx]<qO]<mLi-i;Y ] r ]<p']<m r ]<m t<]k~`iOY ]C[]\hjmL±²q Lf'h+wx]]\wOwxk>w ] C ] _ k~ iOY ]]<qOi;d¤[hjiO],k2miOY ]qh+[^p g{]qOzd t<]¦4k>w¶iOY ] j± r de[]<m qOdlk+m'h~g!t\hjq;]+,XY ]t<f'wx¡+]8d{q"p glk+i;iO] r dlm%i;Y ] : : hju>]<q XY ]wx]<q;f g{idlqCh\¡2]\wOhj+] r kj¡+]\w wx]<p gldlt\hjiO]<qkj$iOY ]Ck+ qO]\wx¡jhjiOdlk+m qO] Lf ]<m t<]+XY ]"iOdlt<µ+q$kjiOY ]$8±ÀhjuLd{q¶t<k>wOwx]<qOpQk+m r iOk 8 7 ³QiOY ](n±Àhju>dlqi;d{t<µ2qt<k>wOwx]<q;p'k+m r iOk "'. S: -54) \³ 5 , .&3121214&
(103) k+i;]"iOY'hji$iOY ] r dehj+k2m'hjg ,pQk+dlm>iOq"k~JiOY ],>w¢d r gldl]k+mniOY ] gldlm a] $ , 2. . 2. . . . . ! 8 .. &. &. . 8. . 2. . . . 0.2. 0.1333. 0.1 0.08 0.0667 0.0571. \ª. 100. 225. 400. 625. 900. 1225. >ª O \ª ª>\¯'' jU¯¯` ª "Hª !+ª ¦ XY ]w¢]<qOf gli-k~`iOY ]hjm'hjglk+2k+f q,]<uLp']\wxde[ ]<mLiSk>wAGx,ndlqp'wx]<q;]<m>iO] r k2m q dl+f'wx]| XY ] iOdlt<µ+q8kjoi;Y ] $8±ÀhjuLdlq"t<k>wOwx]<q;p'k+m r iOk 8
(104) % ³ i;Y ] (n±Àhju>dlq"iOdlt<µ+q"t<kLwOwx]<qOpQk+m r iOk " . #:+) ³. . !. 2. - . . .
(105) <_. D . ¶ ¶kj i;Y ] r dehj+k+m'h~g t<kLwOwx]<qOpQk+m r qiOk $ , ,XY ]wx]<qOf gliOq"h+wx]t<gl]\h+wxgls dlm h~t<t<k>w r hjm t<]$dliOYCiOY ],wxkLk+ix±²mt<k+m qOdlqOi;]<m t<s´kj iOY ]"]<qOiOde[hji;]`t<gehjde[] r d{mXY ]<k>wx]\[ + XY ]qOde[,f gehji;d{k2m q`]\wx]8p']\w Sk>wO[] r dlm uJX$ ^u k2mhvJ|£±À| vp" i`ih+µj]<q"h+wxk+f m r | ^qO]<t"iOkt<k>[p f iO]"h8Sk+f'w ±²qOi;]<p´]<qOi;d¤[hjiO]¶4k>wziOY ]"qh+[p gl]"qOzd t<],H¦ ,/. + , .0&2121314&. . % . 0.25. 0.2. 0.1667. 0.1429. 0.125. 0.1111. \ª. 100. D . 225. 400. 625. 900. 1225. 1600. 2025. ª> O \ª ª>\¯'' jU¯¯` ª "Hª !+ª ¦. !. "\
(106) ª - * "V )
(107)
(108) V . F $¯¯ ]<i ']ht<kj¡+]\wxdlm k~oiOY ]8 'hjglg , *JVN 7 "V C( %) -, dliOYiOY ], 'h~g{glq 7 & 5M,}.0&21m1m1D& qOf tY i;Y'hji,iOY ] r d¤h2[]<iO]\w8kj]\hjtY 7 dlqgl]<qOqiOY'hjm d4 ]+n4k>w8hjmLs ixkp'k2d{mLiOAq VI& @ 7 ³ 7 "V C d) $m ]t\hjm]\hjq;d{glsnqOY kj iOY'hji$iOY ]\wx]8d{q"q;f tYh t<kj¡+]\wxdlm dliOYCi;Y ]"t\h+w r dlm'hjgldliÀs h, " d)F\zXY ]<mCd y ( ']<glk+m +q$iOk 7 hjm r ?"( )9,J* V N 7 "VvC ( ) , & . . 5. . . 8. . 8. .
(109) . . . . . . 8. . . 8. . 8. . 0. . 8. : % 8. . :. : %. 0. . 0. 8. : %. [.
(110) .
(111) . iOY ]<m 7 . 0. <³ hjm rCr f ]8iOkau`q;qOf'[p iOdlk+m . "( ). . @_ ^ _@^ > 5 > ^ ^ / ^ / . ^ _ . ^ ^ 5 > ^ 7 132 ^ 5. XY ]<m. /0. @_ ^ > ^ 5 / / 7 132 ^ . 5 . 5 _ ^ > ^ 132 132 F 1 . 5. . 132. k+i;]`iOY'h~iJ Ls u`q;qOf'[p iOdlk+m +³ r f ]"iOk,i;Y ]"t<k+m>i;d{mLf dlixskj de[p gldl]<q"iOY'hji "V )
(112) 8Sk>w V . . 5.
(113) . . . . 8. \%
(114) .
(115). 8. %. 5. 1 2. _.^ > ^ _ ^ > ^ . <³. "V ). 5. "V6)
(116). 4k>w . . 8. V 8 .. m ¶Y'hjiSk+glglkjq %qOihjm r qSk>w$h2]<m ]\wxdlt,p'k2qOdliOdl¡+]t<k+m qOihjmLiY dltY¡jhjglf ] r ]<p']<m r q"k+m gls k+m & & hjm r G'zXY ],wx]<qOf glikjJXY ]<k>w¢]\[ "dlqY ]\h¡>dlglsC 'hjqO] r k2mp'wxk+pQ]\wxiOdl]<qkjJh qOdlm +gl]dliO]\w;hjiOdlk+m,k~ u`gl+k>w¢d{i;Y'[ + ]om kj iOf'wxm8iOk`i;Y ]JqOiOf r s8kj'iOY ]z]<qOiOde[hjiO] ] 7 k2 ihjdlm ] r hSiO]\wziOY ] 52±²iOYCdliO]\w;hjiOdlk+m ]<i`h8¡+]<t<iOk> w ]k+miOY ]"f m dliqOp Y ]\wx]$ ']"i;Y ]"d{m dliOdehjg ]<qOiOde[hjiO]$kj ] _ !]8d{mLiwxk r f t<]$iOY ] Sk+glglk£¶d{m m k+ihjiOdlk+m 3q Y !. ". - . ,8P#:. . 2. ] ]2\&. ! " ,. "2. , PAC. ] ] \ :r..
(117) . D . hjm rCr ] W'm ] ] _#/10 2 "( %) ,. .. >. /0. 0. "(. C ( % )3"(. 132. ] > _#2 /10 2 "( %). "( %) ,. !. ,. ¦. .. !. /. .. 0. .. /0. C( %)'\ 0. " (. 5. 0. 8 " "( :. 0. C( %)2"$ C $ %). 5. C<( % ). 8. 8 " "( :. 132. & 0. C ( %) 8. . . &. "( %)*& !. % 132. e XY ]t\wxf u0k~iOY ]np'wxkLkjk~XY ]<kLwx]\[ nd{qiOY ]«4k+glglkjdlm p'w¢k+p'k+q;d{i;d{k2m ³Y dltY d{qCk~ dlmLiO]\wx]<qOi LsdliOqkj-m Y $¯ ¯!HH¯
(118) Jj f
(119) d ?
(120)
(121)
(122) *
(123) v . , 8
(124) , . " , P H ]
(125) A y
(126) j D ]C] _ ¥ 8 ¥ : ¦ o¦ : 8 . +¦ = 3| > ' * ]!. ,. 8. ! !. 1. =
(127) >. 8. . . :. . :. . . . . . . !. . . 6. 8. . !. 2. 8. . . . &. ,. :. . :. "'.9: _ 8 & 8. , 2. . 8. _. .
(128) . ). ;. &. 8. . . , j D ! "'.y: : 5) . _ o
(129) m3
(130) a ] " " " ]C] _ .9: ! " "'C$ )-: ¦ =
(131) 3>
(132) ' * , ¥ ¦ U : : ¥ ¥ ¦ : o¦ %. . . !. A. :. 8. !. 6. 2. 8. . :. ;. . %. E. . . &. :. [.
(133) 2.
(134) . '. . H ej . . . . . , . 2. . " . ¥. :8.2) .: _ 8 8. U: G . XY ]p'wxkLkj kj iOY dlqp'wxk+p'k2qOdliOdlk+mdlqp g¤h~t<] r dlmCiOY ]m ]<uLiJq;]<t<iOdlk+m ],w¢]<iOf'wxmm kj0iOk8iOY ] p'wxkLkj!k~ XY ]<kLwx]\[ + ]<i 5 _ r ]<m k+iO]iOY ]iOk+ihjg mLf'[, Q]\w$kjodliO]\w;hjiOdlk+m q\}]<t\h~g{gziOY'hji$iOY dlq,mLf'[8 ']\w$qhji;d{q W']<q 7 , 7 hjm r Y ]<m t<] 5 _ : ¦ ],qO]<i ¥ : J¦ &. , 8 : 8¥ ¦ . .. 2. .. &. Y ]\w¢]. 7. 7. . 2. , ,. 2. :. . 2. . &. :. 7 @7 & 7 7 2 " . : 7. 2 2. )*1. : 7 D7 : " 2 : : 7 ¥ 7 ) ¦ ¥ : &J¦ Sk>w . 5 5 _ ]8p f iSk>wzqOk>[]
(135) geh+wx2]`]<m k+f 2Y 2 &¦ 6 : [_ , ¦ ; 1 . { ¡>d r ]<mLiOgls+³L4kLw¦ng¤h2wx+]$]<m k+f +Y ._ qh~iOdlq'W']<q ._ "'.9: : _ ) . hjm r ._ 8 _ 8 ' ] WwxqOi qOY kj iOY'hji 7 ._ Sk>w hjglg25 5 _ ]p'wxkLt<]<] r >s"dlm r f t<iOdlk+m $ L¡Ld{k2f qOgls+³ ¥ . , 2 , : 8 : 2 : ¥ : &¦ : &D2 ¦ , 4"
(136) ._ )*1 2 ¦ 2 8 ¦ 7 2 , . 7 % ¶³ : 7 2 ,(*),+-* .& : 7 , ³ : 7. 7 : 8 hjm r ]<im kj 7 _ bLdlm t<] . . .7 2 @ 7 ³ ]`t<k+m t<glf r ]8iOY'hji : 7 7 7 2 " 2 : 7 ) ¥ : &J¦ : .7 2 .7 2 @7 2 : 7 ¥ ¦ : 7@ 7 : " 2 : . 7 ¥ _ ) ¦ ¥ : &o¦ 6 : &¦ 2 1 . 7. 2. ,. . . - . ¦. ;.
(137) \. D . XYLf q. 7. 2 7 2 7 2 &o¦ 6 : X @7 2 . 7 2 ¦ ;. ,. 2. hjq$wx] >f dewx] r ]<uLio]"q;Y k£iOY'h~ioi;Y ] 5iOYC]<qOiOde[hji;] ] 7 qhjiOdlq'W']<q " ] 7 C] _ 7 ) % ¦ 5 & = _ > ],hj>h~d{mp'wxk>t<]<] r >sdlm r f t<iOdlk+m y $f ]i;k,iOY ] Qk+f m r = | > d{mCvJw¢k+p'k+q;d{i;d{k2m 2³+iOY ]dlm dliOdehjg ]<qOi;d¤[hjiO] ]qhjiOdl'q W']<q " ] 8 Cx] _ 8 ) ¦ . 1 = 3> ]<i"m kj = ¨ _ > Q]-qhjiOdl'q W'] r 4kLwqOk>[] 5 F5 _ Cr.J`bLdlm t<] 7 _ ³]-[hshjp p gls iOY ]" Qk+f m r = 2 >dliOYA , ¥ : J¦ iOkk+ ihjdlm ] 7 CM] _ 7 % ¦ 5 : ¦ % , % "Z5¦ :r.2) & hjq$wx] >f dewx] r kj0]f qO]$iOY ] Qk+f m r = 3 >k+m ]"[k>wx]iOde[]¶dliOY , 7 ³ , 7 ,/.J³ , 7 rhjm " ) , @7 " ) Y ] 7 yCM] _ 7 .y: . 77 !#" C$ y: % ¦ 5 _ & Y ]\w¢] 7 , ¥ ¦ : 7 : 7 : ¦ J¦ 1 bLdlm t<] 7 ,/.J³L]"+]<izSk>wzqOfL´t<dl]<m>i;g{sgeh+wx+] ¦ 7 , 7 .7 @7 : 6" : .7 _ ¥ ) ¥ ¦ : ¦ : ¦ J¦ ; 1. `¶]<m t<]+³ ¦ : : ¦ o¦ 7 , ¥ ¦ : ¦ : 7 ¦ & ¥ ¦ : f" : ) : ¦ !. 8. !.
(138) . 8.
(139) . !. !. 8.
(140) . 8.
(141) . . . 8. !. 2. 2. &. 2. 8. :.
(142) . .. .. . 2. 6. 8. !. .. .. 6. 8. :. 2. %. ; ;. 2. :. .. . . . . &. 2. . . 2. . &. 2. 2. 6. . 2. 2. 2. . . &. ;. 2. . 6. . 6. &. . ;. &. . &. ;. [.
(143) \.
(144) . hjm r ^^ %Y ]<mq;f'[[dlm f pC]`k2 ihjdlm w¢k>[ = 3> ¦ : ] 7 yCx] _ ¥ ¦ U: 6" : :r. ) ¦ ! " "'C$ 0)f: % : ¦ o¦ . 7A. 8. 2. 2. .. .. !.
(145) . 2. 8. . . . 2. 6. 2. . . . &. ;. &. %.
(146) . \ 9
(147) % \. $dl¡+]<m%h«¡+]<t<iOk>w]³ ] r ]<m k+iO] Ls " " ! " ³. . E. 1. iOY ]´¡2]<t<iOk>w " j]³hjm r > s iOY ]´[hjiwxdlu , " ]d& , ! " " " 2 1 4 _ t<k>wOw¢]<qOp'k+m r q$iOk ] _ ³ iOY'hji$dlq\³ _ , ! " * ] _ ³ iOY ]<mk+ L¡Ld{k2f qOgls ,gP$ ] hjglqOkqO]<i9% , " J"( C<( %) ³LqOkiOY'hji . 2. 2. . 0. 0. :. 5. 2. A. "(. 0. C<( %). hjm r !. - . " "( . 0. C (v% ). : . idlq`t<k+mL¡+]<m dl]<mLioi;k r ]<m k+iO] ]. 2. " ( %)9, /. .. 132. 0. 9% . %\. , E. 0 5. "( %)9, : 2 ] 2 "( %) /0 . 9% 0 "$ 0 132. 5. 0. . % \ . C $6%) 5. 0. %\ %. 0. 0. % 1. . 0. U% \ . 0. % y 1.
(148) |. D . d{i;YiOY dlqm k+ihjiOdlk+m ³LdliY k+g r q " "( %)9, "( %) Sm r ]<] r ³¨4kLw !. ] > _. "( % ) ,. /0. ,. /0. .. 0. 1@2 .. 0. " (. ! " . : . , !. " ] > _ 2 "(. "( % ) , , :. ,. . 0. .. !. 2 ] . "(. "( %) 2. 0. %) /0. .. /0. 0. " (. 132. 9%. .. 5. 8. 0. 0. . 5. 0. C( % )2"$ C $ % ) 5 0. " $ C<$ %) 5. 0. U% \ . C<(. . 0. 132. % )1. 0. "(. % \ 9 % 0 0 %\ % " . C ( % ) \. ! " % % \ 5 132 : ! " ] "( %) ! " ,. /0. : . C ( % ) \. 0. C ( %)2"(. 1@2. hjm r Y ]<m t<]. 0. C ( % )2"(. " (. 0. % \ . 0. %. 8. 8. . 8. 2. 8. %. . 8. 0\. . =
(149) 3 >. . . . *
(150) m3 2
(151) .
(152)
(153)
(154)
(155)
(156)
(157)
(158)
(159) 0\
(160)
(161)
(162)
(163) \ 2
(164)
(165) . . 8. 4. 8.
(166)
(167). 8. %. 0. . SmCiOY ]"qO] Lf ]<g ]$m ]<] r iOY ]$Sk+glglk£¶d{m qOde[p gl]"g{]\[[h4Y ª D " +) _ j D _ , " . : ) ] _ _ ,/. 6"'.9: ) "+ +) C _ r "'.9: ) : . O, d y X " .: : 5) . % ! * ' C _ "++ +)
(168) A!J d 4
(169) rP QF 2. " ³ % ) 8 . ,. !. . . "'.9: . .y:. . .UC4. : "'.y:. . "'.y:. 5)*&. . . . :. 5). :. . 5). . %& % % a [.
(170) | .
(171) "+ d) . rP QF y . \ . 2
(172) Sj
(173)
(174) . . % % a
(175)
(176) \
(177)
(178) ¥ . d&
(179)
(180)
(181)
(182) . 8 8. $¯¯ w=4d >@ zs r ] W'm dliOdlk+m " ] _U,8] _ C "'.y: ) ] _2] _ \ ] _U, "'.9: ) ] _ qOkiOY'hji _ ,g"'.y: ) ] _ hjm r =Hdm>z4k2g{glkjq\=Hdldm>dlq"iOY ]"q;iwOhjdl+YLixSk>wxhjw r t<k+m qO] Lf ]<m t<],k~ =Hmd >h~m r iOY ]"dlm ] >f'hjgldlixs C _ =Hdld{md >< $m ],Y'hjq , " ]J] \ : P " , "'.y: ) \ : " hjm r ³¨qOdlm t<] ,/.J³Lf qOdlm ´hjglqOk =Hdld >o]$k+ ih~d{m . 2. 2. 2. 8. 8. . 2.
(183)
(184).
(185)
(186) .
(187)
(188). 8 8. . 0\.
(189)
(190). , "'.:. . . . )
(191)
(192) 0\
(193)
(194) . "'.y: . ) 8 8 . . "'.9: . ). . ¶kj i;Y ]SW'qOiqOih~iO]\[]<mLiJdlmM=Hdldld >Sk+glg{kjq wxkL[iOY ]"iw¢d{¡Ldehjg dlm ] Lf'hjgld{ixs . "'.9:. . ). . "'.9:. ). :. 2. . . . .y:. :. ). "'.9:. 2. :. 91. . jh m r iOY ]gl]\[[h«t<k+m r dliOdlk+m q\CXY ]k+i;Y ]\w$iÀkdlm ] >f'hjgldliOdl]<qSk+glglk£ ²wxk>[i;Y ]aWwxqOi"k+m ]d{m ¡Ldl]< kj \ a,/.J =Hdl¡ >< ¶k+iO]Wwxq;i`iOY'h~i" >s =Hdld{dm>8iOY ]dlm ] >f'h~g{dlixs \ .0de[p gld{]<q % kj,³2gl]<i A, bLd{m t<]r. \ "'.9: ) \ ³ ]$+]<i
(195)
(196) \
(197)
(198) ,
(199) " .y: ) \
(200) , ^"'.y: ) \
(201)
(202)
(203)
(204)
(205)
(206) f" .y: ) . hjm r =4d{4¡ >zSk+glglk£¶qodlmn¡>dl]< kj . 0hjm r % Sm0iOY ]m ]<u>iiO]<tY m dlt\hjggl]\[[hn]t<k+glg{]<t<iqOk>[]f qO]Sf gop'w¢k+p']\wxi;d{]<qkj$iOY ] [hjiwxdlt<]<q ] "( %) ],f qO]"i;Y ]`m k+ihjiOdlk+m . . 8 8. . . . . . 8 8. %. "( %)9,. - . . 8 8. /0. .. 132. 8. 5. . . . %. 0. % \ 9 % . 8. 0. 1. 8 8. . . 8. 8 8 8. . 8. 2. 8.
(207) |+|. D . ª - * . C _ " +)
(208)
(209) ] "( %)
(210)
(211) J " ( % ) %. . 8. . 8. . "'.y:. . . : [ ). . * 2
(212) A U+. 2.
(213)
(214) ] . "+ +) "++ +) "+ d).
(215)
(216).
(217)
(218) 2 "(v% )
(219) ] "( %)
(220) % ¥ % " ( %) ] 2 "( %)
(221)
(222) 2 2 "( %).
(223)
(224). 2. "( %). $¯¯ =4d >hjm r =4d{dm><xqLk>whjmLs f m dli¡+]<t<iOk>w @ P QF³]+]<i8 wxkL[iOY ] r ] W'm dliOdlk+m q´k~ ] "( %)Chjm r u$qOqOf'[p iOdlk+m iOY'h~i "( %) \ ] "( %) A, \ ! " " ] _ / 0 2 " " " " & hjm r ³¨d{mnp'h+wxiOdlt<f geh+w<³ \ ] "( %) " ( % ) ]<uLi\³L >s ]\[[h-|¨³ =4d{dldm> " " , 0\ ! " " " " ,\ % hjq$wx] >f dewx] r =Hdld{md >< pgl]\h+wxgls+³ . . > 2. 2. 8. 8. . 2. 8. . 8. . ]. "( %) ,. /0. .. 0. %. %\. 0. 0. % \ 9 %. C 5. 132. 0. . " % \. . 0. 9 %. 0. ) 1. Lb dlm t<] iOY ] µj]\w¢m ]<g ¡£hjm dlqOY ]<qnk+f iOqOd r ] B &2. E ³][
(225) h\s0t<k2
(226) m qOd r ]\wk+m gls%iOY k+q;] iOY'hji % \ 9% .Y dltY% Ls ]\[[h | ³#=Hdl¡4>,de[p gldl]<q
(227)
(228) % % \
(229)
(230) % ¶kj d{m0¡Ldl]< k~ u$qOqOf'[p i;d{k2m 0. 5. 0. . 0. 0. . . /0. . 1@2. 0.
(231)
(232) 5 C % \ 9 %
(233)
(234) "( %)1 0. ¶]<m t<]+³ f qOdlm ]\[[h| ³-=Hdl¡4><³Lo] r ]\w¢d{¡2]
(235)
(236) ] " ( %)
(237)
(238) ¥
(239)
(240)
(241)
(242) % %
(243)
(244) % \ 9 %
(245)
(246) % ¥ % "(v% )*1 `. /0. .. 5. 0. 0. C. 132. [.
(247) |+.
(248) . Hdl¡ <XY ]"q;]<t<k+m r hjm r iOY dew r qOihjiO]\[]<mLiOqJsLdl]<g r = >.
(249)
(250) ].
(251)
(252) .
(253)
(254).
(255)
(256) ] 2 "( %) ] " ( %) ] 2 "(v% )
(257)
(258)
(259)
(260)
(261)
(262)
(263)
(264) ] 2 "( %)
(265)
(266)
(267)
Documents relatifs
Dans chaque ville et pour toutes les lignes de tramway considérées, il faudrait disposer des trafics avant et après ouverture d’une ligne et de plusieurs projections d’évolution
Le fait d’écrire à partir d’une oeuvre d’art visuelle ressemble à une forme de contrainte; nous croyons par ailleurs que cette pratique a eu un effet durable sur l’écriture
variables d'ordre psychologique: soit f.amiliale ou personnelle, soit so- ciale, soit professionnelle, soit une combinaison de ces facteurs. Ce patient a récupéré
For the two coolest objects in Figure 3.6, HD 4539 and PG 1716+426, both at Ta < 27, 000 K, there is a good match between the predicted synthetic spectra and the FUSE data: the
lui inculquer le registre li'lquistioue, les l1abitudes alimen- taires et vestimentaires ainsi que le comportement des bour- geois de Québec. Pierrette Paul doit
La conciliation emploi-famille : des mesures à développer dans les milieux de travail Tableau 4 : Les dispositions favorisant la conciliation travailfamille dans les
Figure 2.4 Predicted (continuous lines) and observed values (filled circles: stands aged from trees with root collar; open circles: stands aged from trees without root collar)
Cette posture permet de dégager deux idées centrales : le poids des milieux professionnels locaux dans l’intermédiation et le transit des idées, modèles et pratiques
