An hybrid Approach for the Computation of Guided Modes in Integrated Optics
47
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. An hybrid approach for the computation of guided modes in integrated optics A. Berm´udez, D. G´omez Pedreira and P. Joly. N ˚ 4148 Mars 2001. ISSN 0249-6399. ISRN INRIA/RR--4148--FR+ENG. ` THEME 4. apport de recherche.
(3)
(4)
(5) "!#%$& '( ' )"*,+&$ ) - . !# - ./0 1 1 ' 2+ 3 4 . ' ) / 576'89;:1<>?= @ 9BADC4E76FGH = <I9;AKJ29 @ :19;LM:ONPNRQ @ J26S HUTMV4W XY'[Z \-[]-^`_Uab\-cUdbe;f)ahgjik[OfgjlUf)ab\-ahmne;faogUi p [mqjm)f [Z \-[Om2rOgj\KlUdh[Osj[Om t2u gwvx[Ofy&i p [Om z ewlDl{g u f p [ u [Or Y [ u r Y [|i&}w]~]j,^e u m( RwD~^]j%lDe;w[Om O;w if Y aom-3g u) 3[e u [Kabiwf)[ u [Om)f)[ p abif Y [ijcD\-[ u aored(eRlDl u g;sjab\Ke;faogUig;&ewi [Oahw[iRuBe;dbcUp [Il u gjUdh[\lDgwm)[ p p ai ¡&Y e u Y ahm)abiUu ¢ u gju \£f Y [Ku rOgj\%lDcUfne;f)ahgjiIg(UcUa p [ p p \¤g p [Om ai abiRf)[O§ e;f[ gjlUp f)ahu rOm*eu w[OjcUa p [Om ahr p e [u lDe faorcUdbe re;m)[Omg;u ¥gjl{[iYew[OjcUa [Om¦ u [p rOgju iUm)a [ e m)f e;u fa©¨[ (ew[OUcUa [3f ewiUm)dbe;f)ahgjiDp e;dhdhqKabiRBe abewiRf.abi-f p [p abiR¨'iUp aof[ªu l gUlDep « jef)p ahgji a [OrOY f)ahu gji4¦ fm r gwu m)mx«¬m[OrOf)ahgji u aom3e;u dhm)gmncDlDlDgwm[ Y f)gu D[u ewi-cDiUDgjcDp i [ Y ewi m)f e;f)a¨u [ p\-cU[ rO[ abp cD\f)g- [iUmn[ c [Pu [ ewf iY [&eRlD[OlsUaomgjf)lU[abiUe;rOf)[-[g;lD¯[ Uf1cUc a p D[ pe;f)ah\-gji,g p g;[O®m¦ f [ [1 e;rOfaogUiIabi [Os e;mKD[O[i,abiwf g;« ° i p [ u f Y [P3[e UcUa p abiU±em)mncD\KlUf)ahgji e²\¤[Of Y g p fg¢rOgj\KlDcUf[f Y [PUcUa p [ p \-g p [Om Y e;m&D[O[iIl u gUlDgwm)[ p ewi p ewiDe;dhqU³O[ p abi´b~w~µ¶¦ XY aom&\-[Of Y g p eRlDlD[e u m&e;m&eKrOgU\UabiDe;faogUig; ewiDeYdoqUf)ahrue;d¥\¤[Of Y g p m Y p ahr Y fne [p abiwf)g7e;rOu rOgjcDiRf®f Y [cDij{gjcDi p [ p Y ewi Y p m)f u ef)a¨u [ p p r Y e p u e;rOf)[ u g; f Y [&l ugjY lDe;Up e;f)ahgjiY \-[ uabcD\·u ewi iUcD\-[ ahre;d¸rOgj\KlDcUfne;faogUiUm ahr reRiD[ [ cUrO[ f)gKe iU[Oah Dg Y gjg g;uO¯ f [lDu [ fnc De;uf)ahgji4p ¦ Y Y ip &f aom u lDewl{[ 3[®e [ rOgUiUu rO[ iU[ u ahf f [3ijcD\¤[ u ahre;djab\KlUdh[\-[iRfne;faogUig¹f Y [3\-[Of Y g p ewi 3[l [Om)[iRfm)gj\-[iUcD\-[ ahre;d [OmncUdhf)m¦ ºk»j¼½x¾-¿';Àw iwf)[O u e;f)[ p gjlUf)ahrOm UcUa p [ p \-g p [Om gjl{[iI[Odh[OrOf u gj\KejiU[Of)ahr-(ew[OUcUa p [Om iUcD\-[ u ahre;d \-[Of Y g p m \-ahsU[ p [Odh[\-[iRf)m Y qD u a p \-[Of Y g p m¦ ÁÃÂ-ÅxÄ ÆxÇÈ Å Ä É ÊƶËÍÌÎ ÏÐ3Ñ)ÒwÓÕԬРÖ;×BظÖ;ÙÛÚnÜ ÓxÙxÝwЮÑÞ©ßÞ©ÑàظÖ;ÙÛÚnÜ ÓxÙxÝjáDÑ1âÍÔÛã©ÚÛäwÜ å1ßÞ©æظãèçÔÛã©ÑÜ éhÔ. Unit´e de recherche INRIA Rocquencourt Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex (France) T´el´ephone : 01 39 63 55 11 - International : +33 1 39 63 55 11 T´el´ecopie : (33) 01 39 63 53 30 - International : +33 1 39 63 53 30.
(6) ! ¸" - · ) - 7"$ª 2$I Õ& - ./ +&$ ) . ./ 3 '. $ 1 . +
(7) . »¹ » ewiUmKrO[ u ewlDl{g u f iUgjcUmPiUgjcUm-abiwf[ u [Om)m)gjiUmeI d©ewlDl u g;sUa\%e;f)ahgjiiUcD\[ u a DcU[ p ©cDi7l u gjUd [Z \-[ p [Be;dh[c u ml u gjl u [Om.[i7\-ahdoah[ciUgji7Dg u i [ lDgUc u cDi¤gjl [ u ef)[c u p a ![ u [iRf)ah[Od p [Km[OrOgji p g u p u [w¦#"3[-fxq¹l{[ p [¤l u gjUd [Z \-[KewlDlDe u e%$&hf p ewiUm&dh[KredorcUd p gji p [Om'[O dh[OrOf u gU\Ke;;« i([O f)a * ¹cU[Om3jcUa p [O [Op m3u[i%gjlUf)a DcU[*abp iRf)[O u [O [ u p ewiUm3dhu[&re p u [ p u [du Y q¹l{gwf Y4[OZ m[ p p c¤ eaUdh[&p jcUu a p e;R[w¦ gjcUm rOgjiUm)a [ gjiUmcDiIUcUa [7gjcUw[ fabiw;e abewiRflDe f ewiUmdef)ahgji ewiUm-cDiU[ a [OrOf)ahgji [Of&u gUrOru cDlDewiRff)gjcUfdè[Op mnlDe;rO[% ,+O¦.-¸e7u m)[OrOf)ahgjiIf u ewiUm)w[ u m[Y p cIjY'cUZ a p [PeRlDlDe u e%p &h$ f&rOu gj\K\¤[¤cDpiU[ l{[ pfnc De;p faogUu i7dou gUre;dh[ ©cDi\-ahdhah[cm)f p e;f)a¨[ [Of®p gUi-¬e;ahpf3d/ qDlDgwf [Om)[0 ¹cU[dbe ahm)f abDcUf)ahgji [ dèabi ahrO[ [ [1 e;rOf)ahgji%[Om)ff)[Oudhdh[, DcU[ [Om\-g [OmjcUa [O m[OsjY ahm)pf)[iRf¦ u ep wiUm´b~w~µ¥iUgju cUm&ewgjiUml [O m[iwf1[ [Of*ewiDedoqUm1[ª cDp iU[-\[O Y f gp [&lDgjc dh[re;dhrcUd p [Ou m&\-g u p [Om jcUa [O m2 DcUa¥ewp lDlDe e%$&hfrOgj\K\-[cDiUu [ rOu gj\-UabiDe;p ahm)gji [Y \3p [O f g [Om*ewuiDe;dhqUf)a ¹cU[Om&u lDgUc dbu eKl ahm)[ [i rOgU\KlUp f)[ c \-u ahdoahu[c iUgji lD[ f1c [I [Of [\3[O f g [OmijcD\3[ a DcU[Om¢lDgjc del aom[²[i rOgj\% lUf)[ [dbe7ulD[ fnc De;f)ahgji4¦ ewp iUmKrO[f e;e;ahd u iUgjcUmPiUgUcUmKabiwf)[ u [Om)u m)gjiUm4e d/ a\%lUdo[\¤u [iwfnef)ahgji iUcD\3[ u a5 DcU[ p [rO[Off)[ Y \3[O f g [&[Of*iUgjcUm*l [Om[iwf)gUiUm ¹cU[Od DcU[Om [OmncUdhfne;fm*ijcD\3[ a DcU[Om¦ 6 ¿O½)87%»0 Ig p [Om&jcUa p [O m gji p [Om9[O dh[OrOf u gj\Keji [O f)a DcU[Om gjlUf)a ¹cU[-abiRf)[O u [O [ \[O f Y g p [Om iUcD\3[ u a5 DcU[Om [O d:[ \-[iRf)m\-ahsjf[Om \3[O f Y g p [Om Y qD u a p [Om¦.
(8) .
(9)
(10) !"#
(11) $ %&
(12) ''(
(13) ) * + 1 B. 0. [. m. & 4 3 4/ , - ¿À ;/. ¿ » 2¬¿4 7 D/. ¿ - ¿32*544»¢»6.87» -#9 74»;:¿' 7b» =<>@? C ²»D5 .M 7.# :D:¿6ED.ID/.b¿ - ¿#2544»:¥¿' 7 » <>GFH? D¦b~ Xz Y [f u cDiUref)ahgji7Y g; I u ¦ iRf u g p <>KcUrOJLab? iUPf Y [lDe u eR\-[Of)[ u3z ¦&¦&¦¦&¦ ¦&¦&¦¦&¦ D¦© [Om)gwdbp cUf)ahgju i g; f [l gjU<dh>N[\ J M ? ¦&¦ ¦&¦&¦¦&¦&¦¦&¦&¦ ¦&¦&¦¦&¦ ¦&¦&¦¦&¦ D¦© IXY ahsU[ u Ûg \-cUu dbe;f)ahgji7g; u ¦&p ¦¦&¦&¦ Y ¦&¦&¦u¦&¦&¦¦&Gu ¦&P ¦ ¦&¦&¦¦&¦ ¦&¦&¦¦&¦ D¦è] [u m)[ ah[Omf cDiUre;f)ahgji4¦ iwf g cUrOabiUf [lDe ew\-[Of)[ ¦&¦¦&¦ ¦&¦&¦¦&¦ DR¦ O ahm)r [Of)ah³e;f)ahgji ¦¦&¦&¦¦&¦&¦ ¦&¦¦&¦&¦ ¦&¦&¦¦&¦&¦¦&¦&¦ ¦&¦&¦¦&¦ ¦&¦&¦¦&¦ .TE»DÀ¸½ 4¼¥¥5 .ÍV À U - . O» »)7 » I» - W :¿;»DÀ
(14) »|O¿ O¿ 7 9 »|5 4'V » :¥¿' 7 » <>NJ M ?&X ]¦b~ ahm)r u p [Of)Yah³O[ p u \¤p aosU[ u p Ûg u \-cUdbe;f)ahgji¦&¦&¦ ¦&¦&¦¦&¦&¦¦&¦&¦ ¦&¦&¦¦&¦ ¦&¦&¦¦&¦ ]¦© IahsU[ u « qDu a Ãg \cUdbe;faogUi¦&¦¦&¦&¦ ¦&¦&¦¦&¦&¦¦&¦&¦ ¦&¦&¦¦&¦ ¦&¦&¦¦&¦ ]¦© e;f ahsKÛg \-cUdbe;f)ahgji ¦¦&¦&¦ ¦&¦¦&¦&¦ ¦&¦&¦¦&¦&¦¦&¦&¦ ¦&¦&¦¦&¦ ¦&¦&¦¦&¦ \^<8_`baD? C ²»D5 .M 7.# :D:6¿ ED.ID/ .b¿ - #¿ 25 44»I(¿ :»DDO¿4] u Y u OD¦b~ "(gjiUm)f cUrOfaogUi7g;¯f [ewlDl g;sjab\KXef)ahgji7mnlDe;rO[¦&¦&¦¦&¦&¦ ¦&¦&¦¦&¦ ¦&¦&¦¦&¦ u \fhe g <8_`ji#? X ¦&¦¦&¦&¦¦&¦&¦ ¦&¦&¦¦&¦ ¦&¦&¦¦&¦ OD¦© [1¨'iUahf)ahgji g;f Y [gjl{[ u e;f)g d OD¦© "(gj\KlDcUfne;faogUiewi p l u gjl{[ u f)ah[Om*g(X j´ k e h g µ ¦&¦&¦¦&¦&¦ ¦&¦&¦¦&¦ ¦&¦&¦¦&¦ OD¦è] "(gjiUm)f u cUrOfaogUi7g;¯f Y [\Ke;f u ahsIb´ l Je g g h µ¦&¦&¦¦&¦&¦¦&¦&¦ ¦&¦&¦¦&¦ ¦&¦&¦¦&¦ C ²»D5 .M 7®»D% 7b cD¦b~ XY [gjlUf)ahre;d
(15) ¨'D[ u f)[Omf¦&¦&¦ ¦&¦¦&¦&¦ ¦&¦&¦¦&¦&¦¦&¦&¦ ¦&¦&¦¦&¦ ¦&¦&¦¦&¦ cD¦© XY [abiwf[O u e;f)[ p gUlUf)ahrOmf)[Om)f|¦&¦¦&¦&¦ ¦&¦&¦¦&¦&¦¦&¦&¦ ¦&¦&¦¦&¦ ¦&¦&¦¦&¦. ç. non Gpq r&qs. 0 A +#+. ~R~ ~ ~ O ~ Q ~ S. +ZY. R {~ R . 1#[ c Q. . R R . B#B. R S.
(16) ]. %
(17) @G% %& # . %$ ' )" i f Y aom3g u 3[²e u [ abiwf)[ u [Om)f)[ p abi f Y [iUcD\-[ u ahre;d&ewlDl u g;sjab\Kef)ahgjig;eRi[Oahw[iRBe;dbcU[ l u gUUdo[\l{gwm)[ p p ai Y¡&e Y u ahm)abuiU¢ u gju \£f Y [Ku rOgj\%lDcUfne;f)ahgji,g;jcUa p [ p p \¤g p [Om-abiabiRf)[O u ef)[ p gjlUfaorOmew[OjcUa [Omp ahr u e [u lDe f)ahrcUdbe reu m)[Omg;u gjlD[ikY Y eR[Ou jcUa [Om¦ p y&lD[Yiu ew[OjcUa [OmKY e [lY gjlDe;jef)ahgju iIm)f pcUrOfnc [Om- Y ahr e [KY mncDu lDl{gwm)u [ fg²D[p abiRu Be u a©« ewiRfahf [OmnlD[OrOf*{gwf f)g%f [&w[Ogj\-[Of qPewi f)g-ahf)m*l qUm)ahre;dr e e;rOf)[ aomf)ahrOmªcDi [ eRiwq f uY ewiUm)dbe;f)ahgji e;dhu gjiUKgjiU[l u ahp Uahu do[OR[ p mnlDe;rO[ Y p a u [OrOf)ahgji dh[OfªcUu mmneq uO+ Y Y uaor Y u rOgRaiUrOa p [Om p ahf Y f [&Y abiR¨'iUahf)[-l gjp lDe;jef)ahgjp i a [Op rOf)ahgjikg;¥f [Y eR[Om¦ u ilDe u f)ahrcUdbe u p f [ [1 e;rOfaogU< iKabi ` [O? s g;Y f [u eR[OjcUa [&ahdod Y [lD[ip gjXiUdhY qPgUiKf [&fx3g< f ? ewiUm)w[ m)p [*rOgUg Y abiDe;Y f[O m u u ! ¡ p g; f # < [? r gwmm.m) [OrO f)$ahgj i%!%&g;
(18) ¥ /f %&/[3j)cU a [w¦ p [3 cDiUrOfp aogU"i rOp gRaiUp rOau [Omahf f [ Y [1 < e;rO`f)ahgji%? abi [Os g¯e \-[ abcD\|gjcUfm)a [e{gjcDi [ [Owahgji&% g¥f [ ' lUdbewiU[ Y gRm)[ p ab\-[Y iUm)ahgjiUm&p e u [m)g-mn\Ke;p dhd4u f Y p e;f u gj\ f Y [&\Ke;p f Y p±[\%p e;f)ahre;dlDgwXabiRY fg;¥Uah[OY f ¡Y [r u gwm m m)[OrOfaogUiI'6g;/. f [-jcUa [Kp ahm&rOgjiUm)a [ [ e;mewi¢cDiUDgUcDi [ gj\%e;abi4¦ ahm&ahm q3[m1lD[e g;.ewi (ew[OUcUa [w¦ . . ((). * (,+. ahjc u [K~0/21,3547698;:<=?>@A<5BC4D@FE96HGI>J69KMLN4DOP
(19) > Q54DRTSKO4U>@OA69:4U8;:<TK8D4<=$6H:4U8D<,<TG9OK@N>J694E9V,E96H4DW X Y ikgjlUf)ahre;d4¨'{[ u aom&ewikgjlD[ik(ew[OUcUa p ["Ãg u Y ahr Y f Y [ u [1Ã[ u [iUrO[-\-[ p abcD\ ahm Y gj\¤g;« w[iU[OgUcUY 5m / I# Y ahmrOu gjiUmu fnewiRf¦ XY p [mnl{[OrOa¨rOY aofxq u g;¯ewi7abiRf)[O u e;f[ p gju lUf)ahrOmp ew# [OjcUa p [p dhah[Om*abikp f Y [ ¬e;rOff e;f&f [ u [1Û[ [ iUrO[\-u [ abcD\ ahm [O f)[ YgwR[iU[OgjcUmu DcUf m)f e;fa©¨[ / Y gjiUp dhq u [lD[i m-g;u gjiUu [-mnY lDerO[KBe aY eRUdo[ ¡ Ûg u abiUm)u f1ewiUrO[w¦ ®p f [K \KY ef)[ abY e;dhm&rOgj\Ku l{gwm)abiU¢Y f [ a [ [iRf&deqwu [ m e [r gRm)[i p ahf emnY cUahfnewUdh[ u [1 e;rOf)Yahgji-Y abi [Ou s f [i p f [[iU[ wq-g;4f Y [3peRu [®reRiKD[R[ f)Y a« ru e;dhudhqKrOgjiR¨'iU[ p abiKf [*p \Ke;f)Y [ aeu djahf f [3dbY e wY4[O mf.abi Y [Os'[¦ Z®cUu f2ahf.uahm.f < [ aomf ab DcUf)ahgj?Oi% g;f [ Y [1e u \-e;rOgjfiUaogUahr*i¢[Oabdhi [OrO[Of us gj\KaiUe;ma jiU[%[Off aor[ (e[Oww[Oahgjm "i g'%|¨'iU ahf)[ahr f u eRiUa®m)wr [ u gwm)m)[3[i¢[iUl [ u gjRlDq[ fgdhq l u gjm)[OlD[7e;j´©eµ f)[3´b~ ahµf Y gje;cUdhf®dhgBefxm« f)[iUcDe;f)ahgji e;dhgjiUKf Y [ p [OUahrO[w¦ XY [Om)[&ew[Om*e u [*re;dhdh[ p ]@/ < g u '] /L ? .. \^] n_\a`.
(20)
(21)
(22) !"#
(23) $ %&
(24) ''(
(25) ) O. ewi p e u [lDe u f)ahrcUde u m)gRdcUfaogUiUmg; e sj3[Odhdèm[ DcDe;f)ahgjiUmg;¯f Y [Ãg u \ ` `
(26) () ` ` + + `
(27) ()b` Y [u[ _ ahm*f Y [ N % %&"!//#)T < g u N
(28) ? g; f Y [&ew[ a# ¤aomf Y [ /3 %$j/% < g u (%&'Z L
(29) )' 6
(30) 3 ? g¥f Y [\¤g p [ & <' &`"' ¡ &`(' + ? ewi p <) &`() ¡ &`") + ? e u [¢ f)g u ¨[Od p m Y p [Om)r u abUabiU¢f Y [ p ahm)Yf u abDcU#f)ah
(31) gj!i
(32) %&g; ¯6f Y /[ %b[O dh[O!rO f #u gj \%% Ce; jiU[Of)ahp r&¨[Od p abi[e;r Y m)[OrOf)ahgji f e;f*\-cUm)fmnef)ahmxÃq%f +[ * rOgji ahf)ahgji ,.- < / / / / ?32 - ¡10 ¡ 547698 D AFEHG AJI?K. ~R¦b~ ? <. w[Or1« r u gwmm <. ~R¦© ?. :;<=?> @ ACB. oa Uc u [ /._Uf u cUrOfnc u [&g;.e-jcUa p [ p ew[w¦ML p [iUgRf)[Omf Y [-l Y e;m)[&w[OdhgUrOaofxqw¦ _DcUr < Y mgwdbcUf)ahgjiUmKe u [-f Y [Kgj? iU[Om 3[¤e u u [-aiRf)[ u [Omf)[ p Y fgrOgjY \KlD cUf)[w¦p Y u dhf Y Y gjcU 'Y Nf Y [K [O s¹3erO)f p \-g [Od e;sj3< [Odhdèm[ DcDe;p f)ahgjiUm ?Oah m¥RY [OrOf)g abe;d u gjiU[ rewi"m g;f u e;f p cDi [ f [ u e;u mmnu cD\KlUf)ahgji p m)[O[K ´© Y µ¯ewi u ´ /~ Y Sµ f e;fahmp dp e w[&ew[ijcD\-{u [ p ewi p 3[e Y ;e abe;f)ahgjiUmg; f Y [u [1 e;rOfaogUiabi [Os f [3m)[e r abiU&g;UcUa [ (ew[Om¸rewi-D[ [ cUrO[ f)gf [2Ûgwdhdog;abiU&m)rede l u gUUdo[\ _W `jaX Z Y SVU\[^] -¡ < ¡ ? < [X _ ?a`cbdfehgHe Y g <>N?OQPMRTSVU < ~R¦© ? i _ ` 0 ¡ ¡ ! ' ¡ i+j [ Y [ u [ [ p [iUgRf)[OmewiRq¢g®f Y [K[ f u ewiUm)w[ u m)[-[ rOgj\KlDgUiU[iwf)m ' &`"' ¡ &`() g ku ) ¡ g; f Y [ [Odh[OrOf u ahrg u \Ke;jiU[Of)ahr¨[Od p ¦ .. ç. non Gpq r&qs.
(33) c. %
(34) @G% %& # . pDp u XY Y u u u <>@? XY ul gUUdo[\ [2 DrcUew[Oi m)f)Dahgj[i7rOgU3iU[*m)ea p [ u [ [Op m)m3abiabi7fx3f g-ahm(lDeeRqUlDm [ < f Y ahm[&f)m)g[OrOmgUgwidhwp [ªgjiUiUcD[\-{[ [OaahiUre;¢dhdhl q¢Y l qUm)gjahrUe;dhdh[do\qI\-g u [ ¦ u [Odo[1ahm« ;ewiwf ? / &ahw[ikf Y [l u gUlDe;je;f)ahgjikrOgjiUm)fneRiwf a ewi p f Y [ u [1 u e;rOf)ahgjikai p [Os p ahm)f u abDcUf)ahgji < ?O ¨'i p f Y [lDcUdhmnef)ahgji _ ewi p f Y [&f u eRiUm)w[ u m)[¨[Od p [ < ? ¦ < ?O p Y &ahw[i f Y [lDcUdhmne;f)ahgji _ eRi p f Y [ u [1 u e;rOf)ahgji abi p [Os p ahm)f u abDcUf)ahgj ul gjlDe;Ue;f)ahgji7rOgjiUm)f1ewiwf a eRi p f Y [&f u ewiUm)w[ u m[¨[Od p [ < ? ¦ i ¨'i f [ XY [ u [Odef)ahgjiUm Y ablID[Ofx3[O[i _ ewi p a r Y e u e;rOf[ u ah³O[Om Y e;f3ahm*redodh[ p f Y [ T $Z %b g;f Y [ \-g p [w¦ Y Y ip %[u e;r rpe;m)[ p gjiU[ e; m3f)Y g m)Y gwdhw[&e& m)[OdÍ«¶Y e p v¶gRaiRf[Ouahw[iRBe;dbcU[l u gUUdo[\aiu eRiKcDij{§ gjcDi p [ p ewpi m)f Y e;f)u a¨[ Y gju \Ke;abi Dahr Y \Ke u[OmPY f [IY ijcD\¤[ Y ahre;d&m)gwudbcUf)ahgji iUgji f ahUabe;dÛ¦ u [¢aou dhd e gUlUf [ [&f [¨ mfgjlUf)ahgji g;3[Ow[ f ahm*r gwahrO[ e;m*iUg [e;d4ai'cU[iUrO[-gji7gUc ijcD\¤[ « ahre;d¥\¤[Of Y g p ¦ X_Y cUm 3[Y ahdhp d¥D[&u abiRf)[ u [Om)f)[ p u abikrOgj\KlDY cUf)abiUKf u Y [ju cUa p [ p \¤g p [Om*< em)m)gUrOaea f)[ ?Op f)g,[OaoR[iw;e;dbcUY [Om ¡ abi< f [ ahm)r [Ofp [¢mnl{[OrOf ucD\g;&f [gjl{[ p e;f)g ? XY ¡ i+j 0 ¡ e;mmncD\-abiUf [Oq[OsUahm)f m)[O[I´©µewi ´b~ µ.Ûg [OsUaomf)[iUrO[rOgji ahf)ahgjiUm ¦ [Om)[7[Oahw[iw;e;dbcU[Om mnef)ahmxÃq < m)[O[K´ ~w~ Sµ ? i ¡ ¡ 4 _ ¡ 4
(35) i ` < ~R¦è] ? £mncDl - Y [u[ pewi i p [iUgwf)[Om2f Y [ u [ef)[Om)fdog;3[ u {gjcD(i p g;'f Y [[Om)m)[iRf)abe;dDmnlD[OrOf u cD\ g;'f Y [gjlD[ u ef)g u ¦ § [&m Y e;dhd p [iUgRf)[ ' _`ji ¡ _ ` i `Di ¡ '¡ 4 _ ¡ 4 i 8 ] XY [2fxq¹lUahre;dUm)ahfncDe;f)ahgji"ahm¥f Y [ ÃgRdodhg;abiU /
(36) Ãg u ewahw[i"Be;dbcU[3g; i¥ Y e;me3¨'iUahf)[3ijcD\-D[ u g; [Oahw[iRBe;dbcU[Om _ ¡ < i#. ? ` ~u ¦ X Y [®Y iUcD\-YD[ u \Keq;e_ u q&<i#? ahf Y i ewi p u mncD l u ri ewi`j{i [¢ abiR¨'iUahf)[w¦ g iew iRq !i " i f #[ jf [Oi ahw[iR<Ûu Be;dbcU[ ¡ i [O sU? aomf)mKÛg p ewiY abiRf)[ Beu d ´<Ûu µ'g;;e;dbcU[Om®gub ? &% %&$ ' % 4 u )/ &( *) 0 6 ¦ [Om1lD[Ou rOf)ahwu [Odhq Y Y ahm3re;p dhdh[ p f [p dhg;3 [ [OmnlD[OrOf)ahw[OdhqIcDlDlD[ g eR[ijcD\-D[ Ãg f +[ Uf jcUa [ \-g [w¦ i e-dhgwfg;¯maof1cDe;f)ahgjiUm i 0 6 ¦ §0Y [i i-, i _ <i(? .
(37) i ewi p f Y [&rOg u)u [Omnl{gji p abiUK[Oahw[iR cDiUrOfaogUi¢ahmdh[Om)mewi p dh[Om)m*rOgUiR¨'iU[ p ¦ i 0 6 Y [i i / 0 6 f Y [7rOg u)u [Om1lDgji p abiU[Oahw[iR¬cDiUrOf)ahgjiahmP\¤g u [ewi p \-g u [&rOgUiR¨'iU[ p abif Y [&dbeqw[ 1u 0 ¦ \^] n_\a`.
(38)
(39)
(40) !"#
(41) $ %&
(42) ''(
(43) ) . . . .. %» I . Q.
(44) . . . . . ahjc u [- / " u gwm)mm)[OrOf)ahgji7ahf Y f DY u O[ [ p a [ u [iwfdbeqw[ u m¦. + + & % % Z %
(45) )/C %
(46)
(47) ^ R/# L /%$j &% L ( /3
(48) 6)
(49) % @ 8 < ' ? &% %& 8 )' )
(50) %& &% &% f& $j' ' R/# L !T # %) 0 !/ ( )% N @ %&^ &% N /% 6
(51) $ ^ &% %& $Z')/
(52) @ &% K %C/ ) 6 Z %T )
(53) 6 d &% G f # &% /# o !#
(54) % L
(55) %& G(%& )
(56) )' 6 3 &@ // . ´è]µ. if Y [m)[ DcU[Od 3[Pm Y edod u [ p cUrO[¢gjc u m)[Odhw[OmKf)geIf YDu [O[deqw[ u%u [1Ã[ u [iUrO[¢\-[ p abcD\ rOg uu [1« mnl{gji p abiUf)g < m)[O[ . ao¦¹ ? ! a ¡ ] 0 ! ` ¡ ] ¡ ` ¡ 4 ` $ " # ¡ !# % a ¡ ] 0 ! ` ¡ ] -¡ ` %4 ¡ 4'& ` ($ a ¡ ] 0 ` ¡ ] -¡ ` ¡ & ` Y Y [ u [Y ®[%ru ewi±u em)mncD\-[7ahf Y gjcUf-dhp gwm)p m-g;*RY [iU[ u e;dhahf¶u q,f Y e;Ff u 0 $ ($ ¦ § u [Y e;dhm)ge;m)m1u cD\-[ f ef®Y f p [lD[ fnu c De;f)ahgj&i % ahmu abiUrOdbc [ abikp f [&rOY [iwf e;d4dbu eqR[ p *¦ )gB3[Ow[ fY [ijcD\-[ Y aorued \-[Of g 3[*e [*wgRaiU-f) g-l Y [Om)Y [iRf3[Osjf)p [i mY ahf \¤aiUg \¤g u a¨Y re;f)ahgjiUmf)g-f [*rem)u[* [ [ %-ahme-¬cDiUrOf)ahgji g; ahr abiUrOdbc [Om-f [rem)[-g;.m)[Ow[ ed gj\-gwR[iU[OgjcUm&dbeqR[ m [Ow[i a.f Y [l{[ u fnc u De;faogUi"% ¡ ahmªiUgRfrOgj\KlUdh[Of)[Odhq[\-D[ p [ p abigjiU[&g¯f Y [\ < m)[O[K´b~ µ ? ¦ yp ®rOpIgjc p u m[ f Y [P\Ke;abi p ,a +Prp cUdhfxY q eR\-gjcDiRf)m*u fg u [ Yp cUrOp [Kf Y [-[ [OrO f)ahw[-re;dhrcUdbe;f)ahgjiUY m-f)ge {gjcDi [ gj\Ke;abiabi7mnlDerO[ewi f [&R[Ogj\-[Of q7g; f [ [OUaorO[-\Ke [Oma\%lDgwm)maUdh[-f [-cUm)[ g;3rOdbe;m)m)ahre;de u u fa©¨rOabe;d.{gjcDu i p e u qIrOgji p ahf)ahgju iUm¦ u. p g u aiUmfnewiUrO[ p Ãg u gjlUfu aored ¨'D[ u m u gjpiU[%rewi [OsDlUdhgwahfm)[lDY e e;u f)ahgji g;®;e abewUu dh[Omabil{gwdbe rOgUgu Y abiDe;f)[Om&* gjcUfm)a [PeKrOu a rOdh[.-u/g; e p abcUm10 [iUrOdhgwm)abiU< -f [ [OwahgjAi % f)4 g&3 aof[(eRp i[Ot sDe;urOf u a ahr dh[Ou f3f)g [cD\KeRp iDi-\ f ewiUu m1lDe ? [iRf¥XrOY gji ahf)ahgji gj2i - / u m)[O"[ Z2gjiDiU[Ofu ´© µ gwp dhqewi Y gRa aou [ ´b~Op µ3g "au hwgwdhaewY i u [Ou dhdh[ ´©Bµ ¦p ahmKahmKiUY g dhgjiUw[ u lDgRm)m)abUdh[®abi gjc u rem)[ cU[3f)g3f Y [.pm)f e;f)a¨[ iDefnc [ Y g;Df [ u [1p Ã[ [iUrO[3\-[ abcD\u¦e [ ´b~]µ¥l gUlDgwm)[Omewi7ewlDl g;sUab\Ke;f)[&\-[Of g rOgUiUm)ahm)f)abiUKabiKf [*abiRf g cUrOf)ahgji7g;¥fx3ge f)a¨rOaed ç. non Gpq r&qs.
(57) . %
(58) @G% %& # . p u Y u u Y u* p p XY Y u p gu e*ao³OgUDiwefnr e d'gjDiUgU[cDireRi7e ¨'ah[Oi m3p abi [ f Y[*ahem&\-a [Of ahrY g dop [Ofahm*g f Y e;[fcDah\%f*ewahm&iDiKiUgwrOfgU[Oi s¹e;aofrOaofTgU/ iKf)ahgKm®weR[OlDflUdorOahgj[ iRw¦ [ u w[[*iU\KrO[ ef)ai g f Y Y [f Y u cU[m)gRdcUu faogUi-ahf.ahm®iU[OrO[Om)m1e u q-u f)g\Ke [®f Y [fx®g Y g u ah³Ogjiwf1e;dDgjp cDi pY e u ah[Om®Y Rg&f)g&abuiR¨'iUaofxq Y ahr u ahm w[ p qI[Os¹l{p [iUm)ahw[u ijcD\-[ aoredodhqw¦ Y f rewie;dhm)Y gID[KY [OsDlD[OrOf[ Y p f ef&f [Pe;rOrc u erOq¢g;p fu [ [OmncUdhf)Y m [l{Y [i m&gju i7 [ DcUY [iUrOq¢abp if [ m)[u iUm)[-f e;ff ahmª\-p [Of g Y ahdhu d¥RaoR[p w[ u qRgjg [Om1cUdofY m* [iku f u [& [iU[ wq7g; f [\-g p [&ahm*u w[ u qP3[OdhdrOgjiRY ¨'iU[ aiku f [&w[ Y faorei d a [OrOf)ahgjiUm¦ y&iIf [KrOgjiRf e q 3[Krewi [OsDlD[OrOfe [Of[ ahg e;f)ahgji g;®f [Ke;rOrc e;rOqI [i ahmrOdhgwm[Kf)g m)gU\-X[&Y rcUfx«¬g% Y pew[ªiUcD\-u D[ u ¦ Y u p [\-[Of Y g p 3 [l gjl{gwpm)[ aikf u ahm*3u g rOgjcUd { [ &% rO gjiU$j m)a p #[ u [ p % e;mewi7u ab\Kl u g;w< >N[\-? [iRXfY g; Y e [8 èm¯u \¤[Of g ¦ f.ahm.u Dp e;m)[ p gUie [1 Ãg \cUdbe;faogUi u p g;l gjUdh[\ ¦ ahm iU[O,Y Ãg \-cUdeu f)ahgji abiwf g cUrO[ abiK´b~R~ Sµ ahdhd¹{[ u [Orp e;dhdh[ Y abi-Y _U[OrOf)ahgji- Du ¦ XY [i u f Y [.gUcUf)dhaiU[ g;f Y ahm(lDueRlD[ ahme;m § Ûgwdhdhg;m¦.Y_U[OrOf)ahgjY i"ahmY rOgjp iUrO[ iU[ ahf f [&u ijcD\¤[ ahre;dewlDl g;sjab\Kef)ahgji g;u p f [7p l gjUdh[\u ¦ [%ahdod3m u)u g; p g; f Y [ gj\Ku e;abu i,g;(iUcD\-[ ahre;d3rOgj\%lDcU fne;f)ahgjiUm u rewiD[ [ cUrOp [ Y f)g²u e p [OrOf1ewiUwdh[Pm1c gjcDi abY iUp f [¢u l{[ fnc u Def)ahgju i4¦ i_U[OrOf)ahgjiY ] u 3[l gjl{gwm)[pe \-ahsU[ « qD a ¨'iUahf)[[Odh[\-[iRfP\-[Of g Ãg iUcD\-[ ahre;d [OmgwdbcUf)ahgjiabif [ [OrOfneRiUwdh[¢ewi 3p [- u u ahf)[ f Y [Ku l u gju Udh[\ abi²\%u e;f u ahsÛg Y u \k¦*_U[OrOf)u ahgji O p [e;u dhm&ahf Y f Y [-rOgj. iUm)f u cUrOfaogUi¢g.u f Y [ u [Oahm)m1rcUdof[Omªf[e u gj[&lDw[ ahwe;[f)ig abmi¢ew_UlD[Ol{rO[faoe gUi abiUcD¦ abi f [ijcD\¤[ ahre;dewlDl g;sUa\%e;f)ahgji4¦ abiDe;dhdoq ijcD\-[ aored . ! $,)( ' )" I . )+ 3 31$ ) 3! -4[Of&cUmabiRf u g p cUrO[/ I ! ` ` ' ] < 0 ? ` I ' ` & ` ! ] < 0 ? 8 XY [a p [e ahmKf)gkÃg u \cUdbe;f[PeIl u gjUdh[ \
(59) Y gwm[PcDi iUg;* i < ` ? ahmKf Y [Pf u e;rO[Kg; < Y gi ;p <>N?j? p gjiI I < u I Y ¦ . g u wahw[i <8_`ja Y ? ] '7 3[KabiR f u g p cUrO[f Y [ [gjl{[ f u e;[Kf)g m)u gwdb- cU f)_ahgj`ji, [1¨'u iU[ e;mÃgwdhdhg;m Ãu g f [mu)a\% lUdoahprOahfxu qIg;u.f Y [u[OsDlDp gRm)u ahf)ahgji 3[gju \-ahff)u g Y u p\-[O[fniRef)aodhahmgj? ik/ f [ewlDl gjl aef)[ cDiUrOfaogUiDe;d4 ew\-[O3g ewi [1Ã[ f [ [e [ f)g´b~R~)µ¸Ãg \-g [ < {¦b~ ? - _`bi [ - [ - ` [ - ` ( Y [ u [ [ p [iUgRf)[Omf Y [ m)gwdbcUf)ahgjig¥f Y [{gjcDi p e u q7BedcU[Kl u gUUdo[\ ! 0 < a ¡ i ¡ _ ¡ ? ai 0 #¡ " I ` < {¦© ? < > ? O i+j [ [ . gji I 8 [. \^] n_\a`.
(60)
(61)
(62) !"#
(63) $ %&
(64) ''(
(65) ) S. i < D ¦ ~ ?O - p [iUgRf)[Omf Y [&gjcUf[ u cDiUahfªiUg u \Ke;d4w[OrOf)g u f)g^I g u I eRi p ´ µ < ´ µ ( ` ´ µ ? ahf Y ´ Oµ ( < ? ( i < ( ? ( ` ´ Oµ < ? i < ? 8 p p p p XY p Y Y ue q²;e;db[-cU[¢a [l e7u gjahUm&dh[f \ ["<Ã>gRdo 6dhg;?Od ab< iU Y /ahr fnY e rO[-gje-iUm¬aocDmf)iUm rO f)ahabgjiI i ¬e; rOf [1g;¨'iU[fx3g gUi p [OIrOgjewcDi lUdh[ pm)gwdhl wu [ gjUf dh[[K\-DmTgj/-cDgji iU[« gjcUfm)a p [f Y [m f u abl u p0 u ewi Y p ewiUgwf Y [ u gjiU[-abiUm)a p [ ? ¦ Z2qu rOgjiUm)f u cU< rO>Nf)ah?Ogj i f Y [ ¬cDiUrOYf)ahgji [ u ahm rOYgjiRf)abiUcUgjcUY m¦ i g Y [ f u e;f [ p u {[e-m)gRdcUfaogUi¢Y g l gUUdo[\ ahp f*ahm[iUgjcU Y f)gK[iUmnc [ f Y [-\Ke;Y f)r Y abiUKg;.f [iUg Y \Ke;d u [ ao;pe;f)ahu w[Omgjif [&doabiU[O m u ¡ %ewi ¡ &U _/ `jf i ah mª\- [eRiUm f eff [&f [v cDX\KY l7g¯ f u [iUg \K<e;>@d ? [ ao;e;f)ahw[ g; [ e;r gwmm I iDew\¤[Odoq - \cUmf {[[ DcDe;df)gP{¦ [i l gUUdo[\ ahm*[ DcUahBe;dh[iRf&f)g i _ gHe;< _`bi6? ' <> 6? O P`cbdfehgHe g ` SVU R ] Y R Y S R (S Y b - _`ji . g u ijcD\-[ u aored¥lDc u lDgRm)[Om 3[&cUm)[e p [OrOgj\KlDgRm)ahf)ahgji7g; - _`bi abiwf)gKewiUgRf Y [ u f YDu [O[&gjl{[ u « e;fg u m < {¦© ? - _`bi - _`ji 0 - J _`bi i - _`bi Y ahr Y rOg uu [OmnlDgUi p m*f)gKe p [OrOgU\KlDgwmaofaogUi¢g [ e;m5/ [ [ aof Y [ [ < ? f Y [cDiUa ¹cU[ m)gwdbcUf)ahgjikg; i+j [ 0 < a ¡ i $ ¡ _ ¡ ? [ abi 0 ` <> ? ` [ gji I [ [ 0 [ Jj ahf Y [ [ < ? f Y [cDiUa DcU[-m)gwdbcUf)ahgjig i+j [ 0 <a ¡ i '%¡ _ ¡ ? [ abi 0 ` <> ? ` [ gji I ewi p [ J [ JZ< ? f Y [cDiUa DcU[-m)gwdbcUf)ahgjig i+j [ J 0 <a ¡ i ¡ _ ¡ ? [ J < ¡ i %¡ ?_ ¡ [ abi 0 ` <> J ? J gUi I ` [ Y ahr Y rewiD[-l u g;w[ p f)gK[OsUahm)f3Ûg u rO[ u f1e;abi7Be;dbcU[Om&g; _ ewi p i ¦ . . . . . . . . . . . .
(66). . . . . . . . . . . non Gpq r&qs. . . . . . ç. . . . .
(67) ~. %
(68) @G% %& # . XY [ik3[ p [1¨'iU[ -. [- ` [- ` ( [ - ` [ - ` ( J J [- ` [- 8 (. _`bi . _`bi . -. _ `ji - J . . <. . . {¦è] ?. . p XY u t.u <> ? p <> ? u u < XY u ? pewi f Y gjcUUm&dh[cD\-iUm a ¹cU[O dhqewm)igwdhBeRUdo [w¦ e X[Y [OrOqIgj[ rrOewahiIw[ D[-m)[O[O[sDlUdhaorO[Oahf)g dhq[\·m)gwdhDw¦b[ ~&p ewRi q¢cUm)abiU[O²g lD[\·e u f)Dabe;¦d .abi,gUc ´b~wu ah~[ µ u f uY ewiUmxÛg u u \ ai u f Y [F' p p a u [OrOf)ahgjp i4¦ XY Y ahme;dhdhgBY mcUm&Y f)gPY rOgU\KlDcUf)[-[Ou s¹lUdhahrOahf)dhq±f Y [m)qD\-Dgwu dhm&g; f [7gjl{[ e;f)g m1- Y ewi Y - ewi Y f)g m u g; u f e;ff [Oq ew[Ke lDc [Ku rOY gjiRf)abijcUgUXcUY mm1lD[OrOf cD\k¦ y&iUp [Irewi e;dhm)g±m gB Y f e;fKf [ gjlD[ e;Y f)g u - i - <>KaomJ/? ewi aomgj\- fg (l %' ahmn%\k ¦ [ [Osjahm)f)[iU rO[ ewi cDiUa ¹cU[iU[Om)m&g¯f [&mgwdbcUf)ahgjig; f [l gUUdo[\ ahmªiUgwf gUwUahgjcUmm)abiUrO[ ai w<>K[iUJ [? u e;d f Y [Kl u gjUp dh[\ ahmªp iUgdhgjiUw[ _u rOgU[ u rOah< wa [w?O¦ iY ´b~wu ~ Sµ < a aof? ahm&m Y g;*if < Y e;f*f Y [l u gjUdh[\ ? aom3%3%&$[O dhdC«¶lD gw%Dm)[ %&"!/a¯/ew#i ) Lgj iUdh< qPa Y ]_ Y u)[ u [ Y aome"¨'uiUahf)[ lDgwmm)abUdoq? [\%XYlUf¶q m)u)[Ou fg; u u mncUr e;m3f gwm)[&gUrOrc abiU7ahf abiwf)[O e;d4[ ¹cDef)ahgjiUm ¦ [Om)[ a0 [O<UcUde [ ¹cU[iUrOah[Om3rewi-D? [r XY eY u e;rO f)[ u _ah³O[ p f YDu< gja cU?O Y f¯Jje&l u p gUUdoY [\ m)[Of abi-f Y [3rOp [iRf u e;pdUdbeqR[ u - ewi f cUm - aom3[Odhd [1¨'iU[ ¦. § m)[O[ u-4[\Ku \Ke%D¦© abi´b~w~µu ¦ u cUm a© u ] [ p [1Ã[ Y f)g±´b~R~ Sµ.Ûg uBe ahgjcUmKl gUY lD_ [ u f)p ah [Om-g; - u - -ewi p - J ¦ i±Y lDe u u f)ahrcUdbe uO ahfahm [OYsDlUdbe;abiU[ Y f e;1f - ahmKiUgwfw[ q¢[u e;m)qIf)g XY ewi dh[¢ijY cD\¤ [ ahre;u dhp doq gjiU[Pg(f [ [e;m)gUiUmu Dp [OabiU f Y ef*ahf u e;m&eKu rOgUiwf)abiUcUgjcUm&mnl{[OrOf cD\¦ e;faom& q e;rOrOg abiUPf)gI´b~w~ Sµ 3[abiwf g cUrO[ f [ gjlD[ e;f)g \ _`bi < - i - ? - J ` < {R¦ O ? Y ahr Y ahm7®[Odhd u p [1¨'u iU[ p Y e;mKeIdhabiU[eu u gjlD[ u e;f)g u u abip - ¡ I u ¦ y&iU[p m Y g;m-f Y e;f \ _`ji aom7e rOgj\%lDe;rOfPgUlDu [ e;fg gwm)[¢m1lD[Op rOf cD\ ahm¢lDc [Odhq aomr [Of)[ewi rOgUiUm)ahm)f)mg;<erOgUcDiwfneRUdo[ u abiRY ¨'iUahfxu q±g; ? [e;d.[Oahw[iRBedcU[Om7e \-ahf)f)abiUIe;mcDiUa DcU[¢e;rOrcD\-cUdef)ahgji±l{gwabiwf m)[O[¢´b~R~)µ3Ûg f [-Xl Y gUg;u ¦ Y [ bu ? [Odef)ahgjiUm ablD[Ofx3[O[i - _`ji ewi p \ _`ji ahm-m)ab\KlUdhq <Û p [iUgwf)[Om-f Y [%a p [iRf)ahfxq u gjl{[ e;f)g < {R¦ c ? - <8_`ja ? < - i - ? 0 \ _`ji ` m)g%aofahmgjRjahgjcUmf Y e;f3f Y [-l u gjUdh[\ <> 6? ahm[ ¹cUah;e;dh[iwf&f)g-f Y [Ûgwdhdhg;abiU i _W < _ <i(?b? gHe <8_`bi6? ' <>GFH? O P Y `cR bd(eS gHe g SVU ` ] _ b \ R _`bi ] Y i ~ R Y S R (S Y. .
(69). . . . . . . . . . . . \^] n_\a`.
(70) ~R~.
(71)
(72) !"#
(73) $ %&
(74) ''(
(75) ) . g u [ ¹cUah;e;dh[iwf)dhq . _ <_ Y R (S i SVU W. <i#?b? ] _ ?g e ` g ` -¡ I `. R < 0 ] \ _`ji ?. gH e < _`bi#? ' `cbdeXgHe Y g R ` g ` ] 0 _ Y R RTS 08 XY cUm f Y [e;dhwg u aof Y \ Ãg u m)[e u r Y abiUKjcUa p [ p \-g p [Omahm5/ ~w¦"3gj\KlDcUf[&f Y [&[Oahw[iw;e;dbcU[Om _`bi g; \ _`bi ? ¦ D¦_Ugwdhw[f Y [&[ ¹cDe;faogUiUm _`bi i ~ aikf Y [lUdbewiU[ _`ji ¦ ". #. P. .
(76). . . . . .
(77) . . . . D¦. < RQ ?. XY [\Ke;abi p a,+PrcUdhfxqaom f Y [7rOgj\KlDcUfne;faogUiIg;f Y [K[Oahw[iRBe;dbcU[OmKg(f Y [KgjlD[ u e;f)g uf\ _`bi u Y ahr Y \-cUm)fD[ Y p gjp iU[ijcDu \¤[ u ahre;dhdoqw¦ XY ahm _ahdhd`biD[&f Y [gjUp vx[OrOf.g¥m)[OrOf)u ahgjiUm ]eRi p u OD¦ XY [u p [O,a +PmgwrdbcUcUf)dhfxahgjq²i ewg;i ¯p f ahf[ ahahdhmnd¥lDD[ [-m) ahgju ahiI'[ [ q¢ DcD[Oe;sDf)lUahgjdeiUamiU[ p abi¢_U[O rOfaoi gUi ~ cD¦gj[OmiUgRf*l [Om)[iRfªeRiwqlDe f)ahrcUdbe $-!# ) ² 1!#( ' )" *
(78) ) 3! i-f Y ahm m)[OrOf)ahgji ®[3m [Of)r Y f Y [\Ke;abi-m)f[lUm g;f Y [ijcD\¤[ u ahre;dewlDl u g;sUa\%e;f)ahgji g;'f Y [(l u gjR« dh[\ <>Gu F ? ¦ § [ u [1Ã[ u f Y [ u [e p [ u f)g7´b~w~ ~µ4Ãg u \-g u [ p [Ofne;ahdhm*ewi p Ûg u f Y [rOg u)u [OmnlDgji p abiU iUcD\-[ ahre;d ewiDe;dhqUm)ahm¦ . . .
(79). !#"$% &$!'(*)+ ,#-$. " /021 3 3456#!87. XY [¨ u m)f p a,+PrcUdhfxqgjiU[ Y e;m3f)g erO[Ãg u m)gRdoUabiUl u gjUdh[\ <> F ? dhah[Om*abikf Y [ erOf®f Y e;f3f Y [ cDY i iUg;*i-p ¬cDu iUrOf)ahgji X aom p [1p ¨'iUY [ p pabiPe"gjiU[ p ab\-[iUu m)ahgjiDe;dDcUp f3cDij{gjcDi u p [ pp gj\Ke;abi u iDewp \-[Ou dhq fXY [Dgjp cDi e q I u)¦ gewgRYa f ahm a +7rcUp dofxq 3p [l gjlDY gRm)[*e gjp \Kp¢eai¤p f cDiUre;f)ahgji-l gUrO[ c [w¦ [ a [eKahm3g abiUKahf cDiUrOf)ahgjiUm [1¨'iU[ gUif [{gjcDi [ gj\%e;abi I h I ` ¡ i z 4 4 0 z ` p Y [ u [ p z I ahmewp i eR lDl Y u g;sjab\Ke;faogUi lDe u eR\-[Of)[ u u p [OwgRf)[ p f)gf)[i p f)< g o0 ? 6 ¦ p § [ Y ew [ [iUgwf[ Rq ewi f [-ewUm)rOahm)[Omg;¯fxu3g-w[ u f)ahrp e;d¸doabiU[Om 'Y p ewi ' p < ? [iUrOdogRm)abiUKf Y [&lD[ u fnc u De;f)ahgj i %P¦Ig [OgBR[ [iUgwf)[Om2f [ ahm)f1ewiUrO[ª{[Ofx®[O[ Yf [Om[dhabiU[Om < m)[O[ . ah¦D] ? ¦ § [&m)[Of I h I " I h ewi p cUm)[ f Y [&g u f Y gwwgjiDe;d p [OrOgj\%lDi gw%m)ahf)ewahgji i < {¦b~ ? -¡ I - ¡ I h -¡ < I h ? *:. *9. :. :. :. :. <;. ,=. ?>. @. ç. non Gpq r&qs. >. <;. :.
(80) ~ . %
(81) @G% %& #
(82) . . . . . ahjc u [] / Xu cDiUre;faogUi¢\-[Of Y g p ¦ Y [ u [ u - ¡ I h <Ûu p[Omnl{p [OrOf)ahw[Odhq <Û-u ¡ < I h ?j? p [iUgwf[Om ? f Y [3mncDUmnlDe;rO[3g;D¬cDiUrOf)ahgjiUm.abi - ¡ I Y gRm)[ mncDlDl{§ g fahmabiUrOdc u [ p ai I Y h u [OmnY l{[OrOf)ahw[Odhq u I h ¦ u [e;dhm)gKabiRf g cUrO[f [&g f gwRgjiDe;d'l gwvx[OrOf)g h gji - ¡ I h p [1¨'iU[ p wq h / -¡ < I ? i . - ¡ < I ? < {¦© ? .. i h #. Y [ * u [ Y p [iUp gwf)[Omf Y [&r Y u e u e;rOf)[ u ahm)faor" cDiUrOfaogUui g; I h Y ¦ u u g; f [ap [eahm3f)g ahf)[*ewi%[ DcDe;f)ahgji Ûgu h f [ u [Om)f ahrOf)ahgji g; I f)@g I h ¦ _DjcUZr Y ( ew3i /#[
(83) D cD e;f)ahgji gj[Omu)u iUgwu f [OsUaoY mfDcUf*3 [reRi¢ ahf)[ewi ewlDl g;sUa\%u e;f)[[ DcDe;f)ahgji cDl f)g mn\Ke;dhd[ g m gwm[cDi iUgBi h ahdhd¯{[ewiewlDl gBsUab\Ke;f)ahgji7g h 3¦ Z.q p [OrOgj\Kl{gwm)abiU e;m. h 0 < i h ? ewi p ewlDlUdhqjabiU7f Y [gUlD[ u e;fg u h fg < DR¦ Q ?O 3[&gjUfneai h 0 h \ h 0 h \^<Û i h ? 0 ` f Y ef3[&rewi u [O u ahf)[em h. 0 h <- i - ? h - J h. 0 h < - i - ? <Û i h ? - J h 0 h < - i - ? - Jd<Û i h ? 8 XY ["ÃgRdodhg;abiU7[Om)f)ab\Ke;f)[Om Y eR[D[O[i¢l u gBR[ p ai,´b~w~ ~µ - Jd<Û i h ?
(84) ! -
(85) #" $ + h ` < {¦© ? <Û i h ? - J - #" $ + h .. >. >.
(86) !
(87) . \^] n_\a`.
(88)
(89)
(90) !"#
(91) $ %&
(92) ''(
(93) ) . ~. Y [ u [&®[edomg p [\¤gjiUm)f u ef)[*f Y e;f3f Y [ u [&[OsUaomf)m W -abi p [l{[i p [iwf&g; _`bix mncUr Y f Y e;f <8_`ba ? ' ` <8_`ja ? < ¡ & ¡ 0 i ¡ i %¡ _ ¡ ? ¡. W 8 ] XY ahmm Y g;m3f Y e;ff Y [# ¹cDe;dhahfxqPg¯f Y [eRlDl u g;sjab\Ke;faogUi7ahdodiU[Ow[ u p [Of)[ u ahg u e;f)[&[Ow[ie;ff Y [ iU[Oah Y Dg uY gjg p <g;¯f YD? u [Om Y gwd p m¦ u m)f)ab\Kef)[Om D¦ e;dhdhg; cUmf)gPewlDl g;sUab\Ke;f)[f Y [[ DcDe;f)ahgji < DR¦ Q ? Rq < {¦è] ? 0 \ h " 0 ` ] - ¡ I h ahf Y \ h h <- i - ? h - J h ` < {R¦ O ? ewi p Xf YY [i aodhd D[-< ewi? ewlDl u g;sUa\%e;u f)ahgji7p g; Y h 3 ¦ u u p p [Y ¢[Om)fa\%e;f)[Om J D¦© Y rewi D[u l u g;wu [ f ewi <>KmPJ/f)?g < [OjcU< dbe ah?bfx? q ewXi Y [Oreu q l u gUlD[ u u f)ah[Om g;-f [Im)gwdbY cUf)ahgji [ g;f [IabiRf)[ ahg l gjUdh[\ r1 ¦ D¦ S u ¦ Y u [Oq e [Iab\KlDug fnewiRf {[OrewcUm)[f [Oqe;dhdhg;cUm f)g¢gUUfne;abiI[OsDlDgjiU[iRf)abe;d3[Om)f)ab\Ke;f[Om&Ûg f [ e;f)[Kg(rOgUiww[ w[iUrO[ g; f Y [ u [OaoR[iw;e;dbcU[Omg; \ h \ f)gKf Y [[Oahu w[iRBe;dbcU[Om&g; \ ¦2Ig u [Y l u [OrOahm)[Odhq u 3[l u g;w[&f Y e;ff Y \ [ iUgjiUz ³O[ g¢[Oahw[iRBe;dbcU[OmKg;< h rOgj iRw[ R[u [Op sDlDgUiU[? iwf)abe;dhdhqf)gf [PiUgjiU³O[ g¢[Oahw[iRBe;dbcU[Om-g; e;m Y wgU[Omf)g-Y abiR¨'iUahfxq m)[OY [K´ ~w~ ~µÛg [Ofn e;ahdhY m ¦ u u u\ p [ u ahw[ m&p 3 [-u gjm \ e;ewdhdiKm)ew[OiD[-eabdoiIqUf)fahre;[Kd4iUrO[OgjsU\Kf&lDm)cU[Of1rOe;f)f)ahgjahgjiUi%m g;ff [KY [ewlDgjll{[ g;u sje;f)ab\Kg u ef)< -ahgj i i g;- . gj?"lD [ eRe;if)g p e-ijh cD\-[ ahdhu d.aorDe[ d ewlDl u gBsUab\Ke;f)ahgjikg;¥gjl{[ u e;f)g u - J ¦
(94). $ "$% 5$!'# . . . 1 $. J. 4. g u Y f Y [-u l u e;rOf)ahre;<d>KrOJ gU? \KlDXcUY fne;f)ahgji7g¯f Y [ p gjlDu [ u e;f)g uG\ h u eKl u [OUahgjcUY m*mf)[u lahm0 f Y [ Yu [Om)gwdbcUu f)ahgjY i g;Y .f p [l p gjUY dh[\ ¦ ahm&aom&e7u DgjcDi e p qp Be;dbcU[Kl t.gjUu dh[\ abi<f >KJ/[ ? m)f abl gwm)[ u ah f ewi p ma [ emrOgU\KlDd e;rOf-mncDlDlDg g f-aiUrOdbc [ g abi gH%Pe ¦ gU Udo[\ rewi±{[¢Y ijcD\¤[ ahre;Y dhdoq m)gRJ doR[ Rq¢cUm)abiUY e Y R CU S R u Y (S p U f1e abiU7abiwf)ge;rOrOgjcDiRff [&¬e;rOff e;f [ mnXe;f)Y ah[mx¨a [Op m&[e7ewi ahm&f)gjg-\-ÛgRg wu \-[iUcU[Odbgje;cUf)[-m eKa l ahu r gjUdodh[O[f&\ rOgU[ i DcUaoaof;aoe;gUdhi4[¦iwf < abiIe-rO[ u fne;abi m)[iUm)[ ? f)g7f Y [abiUahf)abe;d gjY iU[&D cUf3m)[Of3abiYeDgUcDu i p [ p¢p gj\Keai RqPcUp m)abiU- f u ewiUm1u lDe u [iRf®DgUcDi p p e u u q7rOgji p ahf)ahgjiUm¦0 X g p g f ef 3p [PpcUm)[7f p [KR[ f)ahre;0 d. 1dh abiU[Om ewi Y emu e u fa©¨rOabe;d3 DgjcDp i e ah[OmKY f)u gmnlUdhah f 0 abiw0 f 1g e Y Dgju cDi Y [ u mncDu gj\Ke;abi p rOgjiRfne;abiUabiUIf X[PY lD[ fnc De;f)ahgju i ewi u ewiUgwf [ u gjiU[ p " u p [ u [&f [ [1 e;Y rOf)ahgji%abp i [OsaomrO0 gj iUm)fnewp iRf¦ Y [i7u fx3gm)[lDe Y e;f)[&l p gjUdh[\-m&0e [rO0 gjiU m)a [ p [ / e7l gjY Udh[\ Y abi f Y [mncD u gj\Ke;abi 0 ewi eRiUgwf p [ gjiUY[abi f [m1cD gj\KeaiJ p " eRi u 3[ m)p [O[u f e;ff [7 u gwdh[¢Y l gUUu do[\ ai ahmp mgwu dhw[ a*f [7u rOp gjiwfaiUcUahfxq±g; [ ewi ahf)mKiUg \Ke;d [ ah;e;f)ahw[Ome;r gRm)m3f [e f)a¨rOaed¥DgjcDi e ah[Om*ahm[iUmnc [ ¦ .. . . . . . ;. . ç. non Gpq r&qs. . . ;. .
(95) ~O]. %
(96) @G% %& # . . . A E ; . A E ; .
(97) .
(98) .
(99) . ha jc u [!O / "(gj\KlDcUfne;faogUiKg; [ J ¦ XY [ p [1¨'iUahf)ahgji g;f Y [Om[ f u ewiUmnlDe u [iwfDgjcDi p e u q&rO gji p ahf)ahgjiUm abiw wgRdoR[Om¥f Y [2abiwf u g p cUrOf)ahgji g; _`je i wua u ahr Y do[Of7f)gY * [u cD\K\KewiY gjl{[ u e;f)g u ] < ) Y ¡ < Y ? u ` ) ¡ < ? 8?Ou p [l{p [i u p abiUgji § [ Y ew[O[ dbe;p f)[abiUiUgR&f)[f p [3Rf q e;) rO[2 g;¡ < f [3? m)gwf Y dbcU[ f)ahmngjlDi¤e;rOgj[ i ahf f [3f e;rO[2g;'ahf)m iUg \%e;d [ ao;e;f)ahw[w¦ $ ) ¡ < ? . -] ¡ < ? / / ¡ < ~ 0 ¡ ? ¡ 4 0 6 .. . . ;. . <;. . . <;. . . <;. . . . . . <;. <;. . . . "!. we i p XwY q.) ¡ u< ? u ahf)mf)gjlD gRdogRwahre;d p cDe;dÛ¦ ahmgjlD[ e;f)p g ahm . iUgBu iKu [OsDlUu dhaorOahf)dhq m)abiUrO[&f Y [&m)p gwdbcUf)ahgji7g;f Y [&< l u gjUdh[\|gUu cUf)p m)a p [ 0 ? rewi D[ gjUfne;abiU[ Uae7e gjc ah[ m)[ ah[Om[Os¹lDeRiUm)ahgji¢ewi ahmwahw[i¢Rq m)[O[K´b~w~µÛg [Of1e;ahdom < {¦Rc ? ´ _`bi ¸µ ¡ $ _`bi ¡ ` . <;. . #. . . . . . Y [ u [# p [ iUgwf)[Omf Y [&g u f Y gUiUg u \Ke;dDe;maomg; ) ¡ < ´© ` &µ ? wahw[iRq < {¦RQ ? ¡ < & ? ¡ m)abi < ¡ & ?` ~ `. p [iUgwf)[Omf Y [&[Os¹lDeRiUm)ahgjirOgU[ +PrOah[iwfm*g; f Y [¬cDiUrOf)ahgji abikf Y [De;maom ewi p < ¡ ¡ & ¡ 0 i ¡ i %¡ _ ¡ ? ¡ ` ] 8 Z.q7cUm)abiUf Y aom3gjl{[ u e;f)g u 3[rewi- u ahf)[&ewi-[ DcUahBe;dh[iRf3Ûg u \-cUdbe;f)ahgji%g;f Y [*l u gjUdh[\ <> J ? Y ahr Y rOgjcDlUdh[Om e,Be u abe;f)ahgjiDe;dÛg u \-cUdbe;f)ahgji abi f Y [±{gjcDi p [ p0p gj\%e;abi 0 ahf Y e . gjc u ah[ u [OsDlDewiUm)ahgji7gUcUf)m)a p [w¦.Ig u [ªl u [OrOahm)[Odhq f Y [&rOgU\KlDcUfne;f)ahgji7g JY e;mf)gKD[ p gUiU[&ai [ fx3g-m)f)[lU5m / . . . !. !. . . . !. !. %$. &. \^] n_\a`.
(100) ~ O.
(101)
(102) !"#
(103) $ %&
(104) ''(
(105) ) . y&iU[rOgj\KlDcUf[Om [ J abiUm)a p [ 0 wq&m)gRdoUabiUiUcD\-[ u ahre;dhdhqKf Y [DgUcDi p e u q;e;dbcU[*l u gjUdh[\ !! i+j J 0 < i ¡ i 4¡ _ ¡ ? J < '¡ i 4%¡ ?$_ ¡. 0 ` [ J ] ) <0 ? b a i [ [ [ <>NJ M ? " ! J !# gji I I 9 0 '` [J [ gji ; 8 < D¦© ? i [J i < D¦© ? p [iUgwf)[Omf Y [&gjcUf)wgRaiU7iUg u \Ke;d4w[OrOfg u f)g-f Y [-DgjcDi p e u ao[Om ; g u ; ¦ \ iUg;abiU [ J abiUm)a p [ 0 3[2rOgj\KlDcUf)[2aof.eRiDe;dhqjf)ahre;dhdhq-abif Y [®[OsUf)[ u ahg u p gj\Keai 0 " 0 . jabe%f Y [Ûg u \-cUdbe;m. J ` [ ' ¡ . Y [u[ [ f u e;rO[&gUi " . . .. ;. . . $. . :. `. J ` a !+4 : ` [ ' ¡ [ pew i [ p [iUgwf)[Om&f Y [[OsDlDewiUm)ahgji rOgj[ +PrOah[iRf)mabiIf Y [¤Dem)ahm$ ewi p ; g; f Y [&m)gwdbcUf)ahgji [ J g; < >NJ M ? ¦ . . $
(106) (,+ ( a ! [ ¡ $. . ' $%4. . . . !" $, 5$!' ]J M < ?. ¡ $
(107) ,( +H. {¦. < RS ?. . . g;3f Y [. Km e¢rOgUiUm)[ ¹cU[iUrOY [g(u f Y [ p [1¨'Y iUahf)ahgji u {¦è] p O u aig u p [ u f)g J rOgj- \KlDcUf)[7Y f Y [7gjlD[ p u e;u f)g u - J X3Y [ \-cUm)fp rOgj\KlDcUf)[-f [-f p e;rO[u g;.f [¤Y iUg \Ku e;d [ ao;e; f)ahw[ [ gji f [-DgjcDp i e q"I ¦ [ \Ku eai a,u+PrcUdhfxq-ao< m fg ? [Of)[ \-abiU[f aomf erO[.gji@I m)abiUrO[3gji!I " I ahf rewi D[ gjiU[3[OsDlUdoahrOahf)dhq gj\ Ûg \-cUdbe; m D¦RS ¦ Y u f ahm.Y 3[Odhd« iUg;*i-f e;fÛg e&p ijcDu \¤p [ u u ahre;dD[OBe;dbcDu e;faogUiKg; f Y Y [®f u e;rO[3g;'f Y p[(iUg u \Ke;d p [ u ahBe« f)ahw[3g;u Df [2m)ugwdbcUf)ahgjp i g;'ep m)[O rOgjp i p g Y[ [Odhdhu ablUp f)ahrªl gjUdh[Y \ f [®cUm[®g{\-ahsU[ ¨'iUY aof[®[Odh [\-[iRf)m ahm&lDe Y f)ahrcUu dbe dhq¢e ewlUp f[ Y ¦ i u [O[ f [&Y e ahu [iRfg;¥p f u [&mgwdbcUf)ahgji7ahm*gjiU[&p gu ¥f [cDi iUgBiUp m g;f Y [²Y l gjp Udh[u \ewi f u [¢p f e;rO[g;Y f [IiU g \Ked [ XahY Be;faoR[²reRY i D[ a [OrOf)dhq [OBe;dbcDe;f)[ p ahf f [ [O [O[Omg [O[ gj\ g;*f ahmKcDi iUg;*i4¦ e;f-aom- q3[iUgB|wahw[eI\-ahsj[ Ûg u \-§ cUdbe;f)ahgjui7pg; f Y [-Y l u gjUdh[\ u <> J M ? ¦ : p p 0 [&abiwf g cUrO[ f [w[OrOfg cDiUrOf)ahgji [1¨'iU[ abi Rq : i uep J 8 < D¦b~ ? [ * gwf)ahrO[f Y e;f : D[OdhgjiUwmf)g-f Y [m1lDe;rO1[ ) < p ao `'0 &? p [1¨'iU[ p Rq < < 0 ?b? ¡ / p ah
(108) ) < p ah `'0 ? . ] -¡ < 0 ? 8 ] -¡ Y. ç. non Gpq r&qs.
(109) ~/c. %
(110) @G% %& # . p u p p u u p u u Y XY pa dh[m)e%g¢ao3m[f)gKe rO[-gUiUdo[ m)a p [ f)ug f Y [O[& gUahlDf)[-[ u fe;fg[KuDgjcD i ke qI rOf gjY i [&ahabf)iRahwgj[ iUu mm)[&gjig; f Y [ abgjilDe [ u ea f) g [ u [iR f&wahwe[qwi¦ Rq [ < D¦b~w~ ? ´ _`bi ¸µ ¡ $ _`ji ¡ 8 ewi p f)g u [O u ahf)[ f Y [DgUcDi p e u qrOgji p ahf)ahgjiUmgji ewi p e;m < m)[O[ < D¦ ?b? < D¦b~ ? i <
(111) : ? 0 [ J 0 8 XY [ u [1Ãg u [ 3[ u [O u ahf)[f Y [&l u gjUdh[\ <>@J M ? e;m®e"m)qUm)f)[\ g'¨ u m)f.g u p [ u lDe u faed p a [ u [iwfaed [ DcDe;f)ahgjiU5m / !! . abi p : ) < p ah `'0? ewi p J ) < 0 ? m1cUr Y f Y e;f !! ] [ ] !! !! : 0 u e p J abi 0 '` [ " p : J abi 0 '` < D¦b~ ? 0 h a !! [ !! !! J i I ` !!# [ gU] i <
(112) : ? 0 [ J gUi ` Y [ u [3[ Y ew[ p [u iUgwf)[ p Y " Y < ¡ Y i %¡ ?Z_ p ¡ [ u eRi p i u ¡ i ¡ _ ¡ ¦ p f)g < {¦b~ ?O f o a m [ e ) m & q ) f * g l ; g w 2 [ f ; e f f ® [ f ® [ \ h a U s [ ; e b a ; e ) f h a j g D i e w d Û g \ U c b d ; e ) f h a j g. i ; e ) m ) m U g O r b a ; e ) f [ Y ahr Y l{[ u \-ahf)mf)gK3[e [i7f Y [ u [OjcUdbe u ahfxqPg; [ ahm p [ J ] mncUr Y f Y ef . abi p : !! w e i !! ] !!! , : , J p , < : ?/< ? 0 , < : ? < ? . ". i h a
(113). 0 [ ] !! M ( M !! !! , p :
(114) , !# ah 0 [ J
(115) ,
(116)
(117) ] < {¦b~O] ? Y [ u [ - ¡ < 0 &? eRi p ) < p ah ` 0 ? ¦ %» I B + R %& T &% @ 3
(118) % 0R , <
(119) : ?/< ? @ 1$b@# %b
(120) / Y. ;. . . . . . . ;. . ;. ;. . . . . . . . . M <
(121) : ? `5< ? M % %& T` M #
(122) L ! &% @ 0 Z % $j/
(123) '/ ) ; 3 ) ; . ¡. . ¡. . \^] n_\a`.
(124) ~ Q.
(125)
(126) !"#
(127) $ %&
(128) ''(
(129) ) . . .4u gj\|f Y. . . " !" $% *)+ ,#-$. " /. # . 1 3 345 . [-uijcD\¤[ u ahre;d¯l{Y gwabiwfg;u .Uah[Ou 3[p \-cUY m)ff u u cDiUre;fY [DY gwf p Y f Y [m[ Y u ah[Om* Y ahr Y ewlDlD[e p u m Y ab0 i7 f [[O< s¹l u [Om)?Km)ahgju i%g; Pf [*gUXlDY [ e;f g Y ewi p f [m)[ ah0 [Om3 n Y ahr [1¨'iU[Omf J [m)gwdbcU<> f)ahJ gjM i%? gjcUf)ma [ e;u f dbe R[ p ewi Y ¦ cUm abJ if [ Y gj\Ku e;abi f [m)gwdbcUf)ahgji [ g; ahdod&D[ ewlDl gBsUab\Ke;f)[ Rqf [&m)gRdcUfaogUi [ g; f [l gjUdh[\"/ !! !! : 0 u e p J abi 0 ` J ) < 0 &? !! [ [ ] p : 0 ` J " 0 h a b a i <> J M ?&X ! < D¦b~/O ? [ !!! ` J j g i ] I !!# X <: ? [ J 0 [ gji ` i Y [ u [ X p [iUgwf)[Omf Y [&gjl{[ u e;f)g u gUUfne;abiU[ p u gj\ < D¦b~w~ ? wq7f u cDiUref)ahgjie;f u eRi
(130) * X X _`ji _`ji 8 < D¦b/~ c ? ´. ¸µ ¡ ¡ if Y [&[OsUf)[ u ahg u p gj\Ke;abi 0 " 0 1 [ J reRiD[[OsDlDewi p [ p e;m < r1)¦´b~w~µÛg u p [Ofne;ahdhm ? X < ? < ?V $ (,+ ( a ! ` J ` ¡ [ ' ¡ [ < D¦b/~ Q ? X < ? < ?V $ (,+ a !+4 8 J ` ¡ [ ' ¡ [ XY [ u [e p [ u aodhd[e;m)ahdhq u [\Ke u f Y ef [ J ahm p [1¨'iU[ p abim1cUr Y e-eq%f Y e;f i+j [ J 0 <i ¡ i %¡ _ ¡ ? [ J 0 abi 0 " 0 ` p Y Y J p u u Y XY pewi[1¨'iUmn[KcUewr ifewlDe;l f u gB[ sUab\Kahm*e;f)rOahgjgjiRi.f)ab- iUJ XcUgjg;cU mf e;Y r [&gwgjml{m[ fu e;[f)g fxu 3- gPJ {egjm3cDÃi gRdodhe g;ah[Om m ¦ ahm&ahm&mnc +PrOah[iRf&f)g . . . . . . . ;. . . . . . . . . . . :. . . . . . . . :. . . . . ;. . . !!. J. ? [ - ` < - J X ? [ J `
(131) -
(132) . ". ! < - JX !#. !!. . ç. non Gpq r&qs. . <. D¦b~ ?.
(133) ~. %
(134) @G% %& # . Y [ u [®[ Y ew[ p [iUgwf)[ p u I ( uO I " u p I I ( u
(135) I ( < ahf Y?O I ( Y I ( Y I ewi p I I I 82²g [Og;w[ e;rOrOg abiUf)gIÛg \-cUdbe D¦b~ Q 3[ ew[f [Ûgwdhdog;abiU [OsD (lU dhaorOahf u [l( u [Om)[iRfne;f)ahgjiUmg; < - J X ? ( / 9. 9. . !!. X !! < - J ? !! " !!. !!. !!# < - J X. . ?. . . ~. . X. . . <i ?. . (
(136) (
(137) . X. . ¡. . ~. . <i ? . . . <. [. . . ¡. . <. . ? $F
(138) (,+ ( . a ! . ? $
(139) (,+H. a !+4. . [ . `. :. :. D¦b~. < /S ?. `. ewi p m)ab\-ahdbe u [Os¹l Y u [Omm)u ahgjiUmgji I J ( ¦ i < D ¦b~/S ?Op < [ ? eRi Y p < [ ? p [iU gwf[f Y [[OsDlDewiUm)ahgji rOgU[ +PrOah[iwfm*g; f [&f e;rO[&g; [ gji ewi abikf [De;m)ahm ¦ XY ahm*ewlDl u g;sUa\%e;f)ahgji%g; - J dh[e p m*iDefnc u e;dhdhqPfgabiRf u g p cUrO[&f Y [ewlDl u g;sUab\Ke;f)ahgji \ Xh g; \ h p [1¨'iU[ p Rq X X . . . . . . . ;. . ;. < h <- i. \ h <8_`baD?. - ?. . . h ? < h - J. . h ?`. ewi p f Y [ i7f)gKrOgUiUm)a p [ u f Y [ eRlDl u g;sjab\Ke;f[l u gjUdh[\ i _ `&_ <i#? gHe<8_`bi#? ' <> F ? O P Y `cbdR eX(S gHe g SVU ` ] _ b. \ R Xh < _`ba ? ] Y i ~ R Y S R (S Y XY [Ûgwdhdhg;abiU u [OmncUdhfrOgjiUmf)ahfncUf)[Om*e f Y [Og u [Of)ahre;dUv cUm)fa©¨ref)ahgjig;gjc u \-[Of Y g p ¦ ° maiU%f Y [ mneR\-[Y \-[Of Y gY p em®abi,´b~w~ ~µ Y ahr Y rOgjiUrO[ u iUm*ewiewiDe;dhgwRgjcUm3f u cDiUre;f)ahgjil u gjrO[ p c u [ gjiU[ rewikm g; f [ 4'»U¿'» B + / _`ji $j^ 3 /%&/ /3 / ^&^ &% 'Z %&
(140) % \ _`bi &%" 0 ( c$ %& ) @N
(141) $ ) 3; @ &% )'/3 f& i \ T % / N &% % %& P % # z % )%W &% N % P P % 3 z z % " &% % 5T X hg _`bi ` ¡ g h _`ji ` 8F8 8 ` g h _`bi / /3 / \ h _`ji )' 3 //% "
(142) _`bi % / &% K ]
(143) @
(144) .
(145). . . . . . . . . . . . . . . . .
(146). . . . . . . . . / _`bi i. . . . . . _`bi / gh. ". . P X 0 ". ¡ $ + h . . ` %. ~ ` 8 8F8 ` 8. \^] n_\a`.
(147) ~ S.
(148)
(149) !"#
(150) $ %&
(151) ''(
(152) ) n. n . . . . . . . " . . . ahjc u [@c / t e u ew\-[Of[ u m3aiRwgwdhw[ p abif Y [-ijcD\-[ u aored¥\-[Of Y g p ¦. ". "$% . il u e;rOf)ahrO[ gjiU[-m)f)ahdhd.rewiDiUgwf Y eRi p do[%f Y [-gjlD[ u ef)g uf\ Xh iUcD\-[ u ahre;dhdhqw¦ § [[OR[i²iU[O[ p e p ahm)r u [Ofao³ef)ahgjiIl u gjrO[ p c u [abiwRgwdhjabiU / Y ¨'iUahf)[[Odh[\-[iRf®eRlDl u g;sjab\Ke;faogUiÛg u ijcD\¤[ u ahre;dhdoq-m)gRdoUabiUf Y [l u gUUdo[\ <> J M ?&X- aiR« wgwdhUu aiUeRiewlDl u g;sUY ab\Ke;f)ahgji lDe pu ew\-[Of[ u
(153) Y Y ahr Y aom f p Y [.Y m)f)[u lRp«¬mao³O[g;Y ¹f Yp7[(p \¤[Om u Y ¦ Xp Y ahm ewlDl g;sUa\%e;f)ahgji f u e;p f2ahdodD[ gjiU[&cUu m)abiUKf [&\-ahsju[ « u qD J e a g X \-[Of J Xg [Om)r abD[ ai _U[OrOf)ahgji] ahdhd¥l g cUrO[¤e-iU[O ewlDl g;sUa\%e;f)[&gjl{[ e;f)g - g; - ¦ XY [PewlDl u gBsUab\Ke;f)ahgji g;2- ¡ < I h ? wqIe7¨'iUahf)[ p ab\-[iUm)ahgjiDe;d3mncDUmnlDerO[ < g(lUah[OrO[Oahm)[ rO gjiUm)fneRiwf cDiUrOf)ahgjiUm Ãg u abiUm)f1ewiUrO[ ? aiRwgwdhUabiUPf Y [mnew\¤[ªewlDl u gBsUab\Ke;f)ahgji7lDe u eR\-[Of)[ u ¦ XY [Om[®ewlDl u g;sUab\Ke;f)ahgjiUmdh[e p f)geiU[OewlDl u g;sjab\Kef)ahgjig;jf Y [2gjlD[ u e;f)g u \ Xh <8_`ba ? iDeR\-[Odhq \fhe g X <8_`ja ? < h < - i - ? h ? e < h - J e g X h ? e 8 < D¦© w ? § [ImncD\K\%e u ah³O[If Y [\-[ewiUabiUg;f Y [ p a [ u [iwf¢lDe u ew\-[Of)[ u mPabi . ahG¦ cD¦ . abiDe;dhdoq f Y [ iUcD\-[ u ahre;d \-[Of Y g p rOgjiUm)ahm)f)mabim)gRdoUabiUPf Y [l u gjUdh[\ i _W `_ < i(? gHe;< _`bi6? ' <> F
(154) ? O P ` Y bdfRe(gHS e g SVU ` ]_ b \ R e g X <8_`ba ? ] Y i ~ R Y S R (S Y h !# . U 1 7 x ' | () 3! 3 2 %$ª ' /42 * ¸" ) 3! if Y ahmm)[OrOf)ahgji 3[l u gjl{gwm)[-eK\-ahsj[ p « Y qD u a p ¨'iUahf)[ [Odh[\-[iwf&\-[Of Y g p Ûg u f Y [-ijcD\-[ u aored u [OmgwdbcUf)ahgjiIg;3f Y [Kl u gjUdh[\ <>@J M ?&X ¦ X g u [Odhah[Ow[Pf Y [¤iUgRfne;f)ahgji 3[aodhd2mncDlDl u [Om)m-e;dhd f Y [ .
(155). . ç. non Gpq r&qs. . . . . . . . . . . .
(156) w. %
(157) @G% %& # . mncDY Umr u Y ablUf)u m ewi p P e;mm)gjrOabe;pf[ p Yahf Y f Y [u ¬cDiUrOf)ahgji [ J u < p [iUp gRf)u [ p [ abif Y aomm)[OrOf)ahgji ? ewi p f [ gwf [ ¬cDiUrOf)ahgjiUm*abiRwgwdhw[ ai f [eRlDl g;sjab\Ke;faogUil gjrO[ c [w¦ . . " . ". .545" .. ' $%4. . !" $, . if Y ahm&lDe u e; u ewl Y4 ®[eRlDl u g;sjab\Ke;f[&f Y [&m)gwdbcUf)ahgjikg;¯f Y [l u gjUdh[\ p . abi p : Y Y !! !! ] eRi [ ] mncUr f e;f !! ! , : , , X <
(158) : ?/< ? p ". i h a
(159). 0. 0 [ !! M !! !! , p :
(160) , !# ah 0 [
(161) ,
(162)
(163) ] ` . . . . . . . . ] <. ]¦b~ ?. . p Y ha r u Y ahm gjUf1e;abiU[ p u gj\ < D¦b~] ? Rq u [lUderOaiU Rq X wqKcUm)abiU-e&\-ahsj[ p ¨'iUahf)[[Odo[\¤[iwf ahm)r O[ fao³ef)ahgji4¦ -4[Op fp e {[ ekf u abewiUjcUdbe;f)ahY gji g; 0 # \Ke p u [PcDu l g;u rOdogRp m)[ p f u abewiUwdhu[Om ahf Y p abew\- [Of)[ Y u m {gjcDi [ Rq m1p e;f)ahmxÛqjabiUY f [-rOdbe;m)m)ahp re;d r aof[ Y abe7Ûug e \-ahm)m)abUdh[Kf abewiUjcUdbe;faogUiUm¦ i f [ m)[ DcU[Od e ahdhd [iUgRf)[f [&m[Ofg; [ w[Omg; f [&f abewiUUcUdef)ahgji e ¦ XY [3¬cDiUrOf)ahgji [a] -¡ < 0 &? ahm®ewlDl u gBsUab\Ke;f)[ p wqKe¬cDiUrOf)ahgji [ e rOgjiUm)fnewiRf.lD[ u f u aeRiUwdh[/ ` < ?
(164) <0 ? /
(165) e ] [ e ] e e ] -¡ ] e Y [ u [ < ? ahm-f u Y [KmnY lDeu rO[Pg;rOgjiUmfnewiRf cDiUrOf)ahgjY iUm%gju i ¦ XY [ p Y [O pu [O[Om-g;3 u [O[ p gU\ g; ¬cDY iUrOf)ahgjiUm&abiu e e [ f [Oa * rO gUiUm)fnewiRf*;e;dbcU[Om&gjif [f abewiUwdh[Om*mgPf [ ab\-[iUm)ahgjiIg; e ahm f [-ijcD\-{[ g; [Odo[\¤[iwf)m e ¦ XY [w[OrOf)g u ¨[Od p : ahmewlDl u g;sUa\%e;f)[ p Rq : e cUm)abiU ¨ u m)f2g u p [ u2z ejabe u f « XY gj\Ke;m¨'iUahf)[ [Odh[\-[iRf)5m / : <p ` 0 ? / ` <E ? < 2 `
(166) 2 ?o` `
(167) 5`(2 e ] e . e ] ) ah ] e e 0 ! 0 ¡ ] 8 XY [ p [O u [O[Om-g;. u [O[ p gj\#Ãg fu : e e u [Kf Y [K;e;dbcU[Omg®f Y [KrOgUiUm)fnewiRfiUg u \Ked rOgj\KlDgUiU[iwf)m : - gji [e;r Y [ p w[g;4f Y [3f u abewiUwdh[Om2g;'f Y [\-[Om Y m)g&f Y [ p ab\-[iUmaogUiKg; e ahm.f Y [*ijcD\-{[ u g; e [ p w[Om P e ¦ . . :. :. \^] n_\a`.
(168) {~.
(169)
(170) !"#
(171) $ %&
(172) ''(
(173) ) . XY [ u [1Ûg u [&f Y [ p ahm)r u [Of[w[ u maogUig; < ]¦b~ ? ahm . ai p : e e ewi p e e mncUr Y f Y e;f !! !! ] [ ]. !! ! , : , , X <
(174) : ?/< ? p ` ". h a
(175). . e. e i i < ]¦© ? e e e e e e [ ] !! M !! !! , p :
(176) , !# ah e e 0 [ e
(177) e ,
(178) e
(179) e ] e 8 p XY u < ? u * [ ¹cDe[ f)ah¨'gjiUiUaom-f[ ai ab*\-[cDiUi mao gUiUiDgBe;d®iUl m gUU doY[\[ u [ ]* ¦© ahm&* [ e DcU0 ahB*e;dh e [iR¦ fXf)g7Y [m)gw\%dhUe;af iUu ¢ahse7g;dhabiUf [Y e ahmKm)m)qUqUm)m)f)f)[[\ \ g;ahm m)qD\Kp \-[Of u)u Y ahrDcU f-Y ahf-aomKiUgwf-u lDp gwu maofaoR[ p [1¨'iUaoYf[w¦ XY ahpmKahmKeu rOgUiUm)a p [ u ewUdh[m)gjc u rO[7g;f u gUcDUdo[ ewi Y lD[ Y ewlUm f [ \%Y e;vxY g u pe*De;r g; f [\-ahsj[ ewlDu l g;sUau \%e;f)ah< gji4¦ ? p Y u p ff ahm*l{gwabiwf f [ q¹ a ah³e;faogUi²lUdbeqUmªewi7ab\Kl{g fneRiwf gwdh[ R´ c ~µ ¦²ahsU[ « qD a ¨'iUahf)Y[K[Op dh[\-[Y iRfY \-[Of Y g p mu ru ewiIDu [-rOgjiUm)a p [ u Y [ p e;m&eKu m1lD[OrOabe;d rOdbe;m)m&g;®\¤aosU[ p ¨'p iUahf)[-[Odo[\¤[iwY f \-[Ofu g mK aor f)[Y \Kl{g u e p aodhq [Odbe;s,g;ªf [PabiRf)[ «¬[Odh[\-u [iRfPrOgjiRf)abiUcUaofxqu rOgji ahf)ahgji4¦_DcUu r ekf ahr abiRwgwdhw[Om-f [KabiRf g cUrOf)ahgjig;(ekmncUahfnewUdh[abiwf[ «¬[Odh[\-[iwf -e ewiUw[7\cUdhf)ablUdhah[ Y ahr YKY e;m f Y [3[ p [OrOfg; u [ p p cUrOabiU < abif Y [.¨'iDeudDm)qjmf)[\0fgªu {[m)gwdhw[ u p ? f Y Y [3f)Y gRfne;djiUcD\-D[ u u g; cDi p iUg;*iUm2¦ Z2p [Om)a [Omahf3dh[e mp f)g m)gwdhY w[e&u dhabiU[e mqjp m)f[\ Ûg e\%e;f ahs- ahr ahmmq¹\K\¤[Of ahr ewi lDgwmaofaoR[ [1¨'iUahf)[-abiUm)f)[e g; f [&g aoRaiDed¥abi [1¨'iUahf)[-gjiU[w¦ . . . . . . . . .
(180). " . -" .. . ' $%4. . "$% . if Y ahmKm)[OrOf)ahgji,3[PabiRf u g p cUrO[¢e Y qD u a p Ûg u \-cUdbe;f)ahgji,g;*gjc u l u gUUdo[\k¦ iUm)f)[e p g;f Y [ mnlDerO[ e 3[&rOgjiUma p [ u f Y [&mnlDerO[g; p ahm)rOgjiRf)abijcUgjcUmw[OrOf)g u ¨[Od p m < < 0 &?b? ¡ /. <E ? < 0 2 ! `
(181) 0 2 ?` `
(182) 5`(2 ` e ¡ e e ] - ¡ ] ] e 8 XY [ p [O u [O[Omg; u [O[ p gU\·g;.e ¬cDiUrOf)ahgji : e ] e e u [&f Y [;e;dbcU[Om*g.f Y [iUg u \KedrOgj\Kl{g;« iU[iRf)X mg;u : e gju i7fY Y [&[ p w[Omg; ew: i p Y [iUu rO[f Y p[ p ab\- [iUm)ahgjiu gp e ahm[ ¹cDu edf)gP * e ¦ u g p [OrOgBR[ f [.pDp rOgjiRf)abijcUahfxqg; e - e;r gwm)m¸[ w[Om X®Y [ abiRf g u cUrO[®e-¸e; ewiURu [.\cUdhf)ablUdhah[ Yf e [ ewp i ahm)r abu \K[Of)lD[ gRmnm)lD[e;e rO[ ahf)ahgjiDe;drOgUiwf)abiUcUahf¶q7[ DcDe;f)ahgjiUm¦ [,-e; eRiUw[ª\-cUdhf)ablUdhah[ D[OdhgjiUwmf)g e g e & ¡ < e ? / </? ` e ` 0 ` 0 ` < ]¦© ? e ] e ] ] ] :. >. :. >. *>. . . ç. non Gpq r&qs. .
(183) w . %
(184) @G% %& # . 4¼Y ¥[ u 5[ .ÍÀ < /u ? ahm2f Y [mnlDe;u rO[g;'rOgjiUmfnewiRfu cDiUrOf)ahgjiU< m p [1? ¨'iU[ p Y gji w ewi p f Y < [ p ahm)r u [Of)[ ? .8E»¹À¸½ ;e ba e;f)ahgjiDe;d
(185) Ãg \cUdbe;faogUi7g; l gjUdh[\ ]¦© ahmf [Ûgwdhdog;abiU m)[O[K´Rc ~µ / !! . abi p : e e ` e e ewi p e e g mncUr Y f Y e;f !! !! ] [ ] ] !! !! , <
(186) : !! p ? 0 , - !!. h a
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)
Considering the importance of the English language, ba1'ed on the program requirements, and taking into accmmt the necessary input and use of time by teachers, the
