Analysis of a neural network model
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Texte intégral
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(156) ]* K=13
(157) ./[BE*07-¼E3
(158) 13
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(186) L]=K*,=2_dM`+Z-\ ? B-\3!MeKE6
(187) 6UBE* M`+>15.,BK56k*0_-\. K!=2=>+213g-/.0*0]^6U.0]*,38R<P(3cbK+>1BL13V-U:`.,(3i;H]*07+21Lj/3i6U3
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(190) o RP(3
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(202) *,13
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(205) = D 3
(206) *F-lBf 'z;: K1^M.0(3A*03V6U]*0*,3
(207) 1.g6UBL=>=K.,3
(208) * K!= 6U3
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(210) +>L(DBE*0+>1'z;R BE*03
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(214) +283z.0(*,BL]E(e.0(3 E* K!1`]=>3A6U3
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(231) 3
(232) 113
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(235) ]*FK= 13
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(248) 3
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(296) 1. 6SKL-\3 +-l.,(3
(297) 1JceBM`+ ^3!MeD`_JKLMM`+21b*FK1 M`BEc j/]c? - ".,Be.0(3 13
(298) ]*,BL1 -A6UBE113!6k.03!M .,B & K.i.0(35 *,+21.0+2c3!-Bf & R}x3d-/.0+>=2= L3
(299) .AK6UBL1.0+>1`]BE] -l.,+2ce23 hK*,78B!?*0B6U3!-,3 5 & G 9 " 5A6B8 :C; R<}36SK=2= 3 5 & .0( 3 0+>1(+2D+2.0+>BL1d-/. K., 3 B!f 13
(300) ]*,BL1 & K.z.0+>ce 3 EkR }3A6UBE1 -\+ZM`3
(301) *zKE3
(302) 13
(303) *FK= 6U=KE-0-)Bf L*FK?(^-+21 6U=>] M`+>1A.0(3i6UBLc?=23
(304) .,3
(305) =2_ 6UBE113!6k.03!M E* K!?( -UR<}3g3
(306) o`(+2D+>.<KA6U*,+2.0+Z6
(307) K=EK=>]3lB! f
(308) D " ¿$ & $ x:8.0(3{3So`? 3!6U.FK.,+2BL1dBf " : [{(+6 (eM`3S?3S1 M-BL1b.,(3.0BE? BL=2BEL_8R 3
(309) =>B[ .0(+Z-EK=>]38:.0(3?*0B6U3!-,-{6UBL183
(310) *,L3!-<.0BdK ]1+8]353V]+>=2+>D*0+>]c -\.FK.03:|+qRt38R{Ke-/. K.,35+>1[{(+Z6¥(J3
(311) 83
(312) *0_13
(313) ]*,BL1-\.FK
(314) _-gKL6U.,+2838R n 13
(315) ]*0BE1+Z-l-,K+M+>1 KL6k.0+283i+ f)+>.g-\.0BE? -C *,+21f BL*,3
(316) 83
(317) *S: K1 MhKE6U.0+>83BE.0(3S*0[{+-/38R{P(] -U: +>1b.0(+Z-{6
(318) KL-/35.0(35KE-\_ce?.,BL.0+Z6lD 3
(319) ( K
(320) +2BL*gBfy.0(3513
(321) ./[zBL*07M`B83!-g1BL.iM`3
(322) ? 3
(323) 1 MeBE1.0(3 +>1+2.,+K!=l+>1(+2D+2.0+>BL1 -\. K!.03!-kR nlD B!83.,(+-eEK=>]38:g-\BEce313S]*0BE1 -b-\. K
(324) _ KL6U.,+283hK!1 M BE.0(3S* -D 3!6UBLc3+>1 KL6k.0+283:[z3d-\(B![ .0( K!.A.0(3
(325) *,3dK*,3d-\3
(326) 83
(327) *FK= ? B8-0-/+2D=>3dKL-/_`ce?.0BL.,+6 -/. K!.03!-Cf BE*l.,(3513
(328) ./[BL*,7JK1 M.,( K.i6UBL183
(329) *,L3
(330) 1 6k3.,BBE13BfH.0(3
(331) c M`3S?3S1 M-{BL1h.0(3 +>1+2.,+K!=|+21(+2D+>.0+>BL1b-/. K.,3!-UR Y 1 -/3!6U.,+2BL1 s`:{[3bE+283hKh?*,3!6U+-/3JM`3!-06k*0+2?.0+2BE1#B!fABL]*ceBM`3
(332) =vR Y 1 -\3V6U.0+>BL1 K!1 M :[z3M`3VK=&[{+2.,(.,(36UBEce?=>3
(333) .03
(334) =>_d6UBL113!6U.,3!Me13
(335) ./[BE*07e.,( K.g[3 -\.0]^M`_b]1 M`3
(336) * 3V]+>=2+>D*0+>]c K1^M+21h.0(3.0* K!1 -\+>3
(337) 1.6
(338) KE-\38R Y 1-\3!6k.0+2BE1hw:¼[z353
(339) o.03S1 M.,(3!-\3*,3!-\]=2. .,BeK5cBL*03iL3
(340) 13S* K= 6k=KL-,-CB!f<E* K!?( -U: K1^M[3 6UBE1 6U=>] M`3+>1-/3!6U.,+2BL 1 R. 2¼?¸N½ ·'½ ¹µ ¹ · ¹ º!#"zµAº ¸%$½ ¹T»# ¸'& 2 »( · }3dM`3
(341) 1BL.03 D`_ ¿($ & $ .0(3583
(342) *,.0+6k3!-BfCK 1+>.035E* K!?(aK!1 MD_() "<.0(3d-\3
(343) .B!f . 13
(344) +2E(`D BL*F-B!f & +vR 38R&.0(383
(345) *0.,+6U3V-<6UBL113!6U.,3!M .,B & D_dK1b3!ML3gBfy.0(3gL*FK?( FRP(3 ?*0B6U3!-,- 43 5 & ¿ $ & $ 5A6B8 :C; ( KL--/. K!.03d-\?^KL6U3.) + , K!1 M3
(346) 8BE=283!-{KE-Cf BL=>=2B![g- 4*,BLc K1+21+>.0+K!=)6UBE1` L]* K.,+2BE1 43+*9 & ¿F$ &$ iK*0D+2.0*FK*,+2=2_M+-\.,*0+>D].03VMBL1 ur : 3
(347) 83
(348) *,_b6UB8BE* M`+>1 K.,3dM`3!6U*,3!KL-/3!-C=>+213VK*0=>_e+21J.0+>ce3[{+2.,(h-/=2BL? 3 ¿ ]1`.,+2=&.0(3 ^* --\,/.. .,+2ce1 3 0 9 [{(3
(349) *,38:<f BL*d-\BEce3 ¿>$ & 9 $ x:).0(3-/. K!.03B!f13
(350) ]*0BE1 & 9 *03VKL6 (3!-RP(3
(351) 1 & 9 -\3S1 M-BL]. Kb-\?+2783K!1 Mh+2. -A-/. K.,3j/]ce? -g.0BJKeLK!=2]3 3+23 & 9 =
(352) " 9 3 : [{(3
(353) *0 3
(354) " 9 3 +-dKx* K!1 M`BLc EK*0+ZKD=>3[{+>.0( M`+Z-\.0*,+2D].0+2BE1 " 3 R I8+>c]=>. K!13
(355) BL]^-\=2_: & 9 +>1(+>D+2.F-5+2. -13
(356) +>L(D BL* -k:+qRt38R$+21 6U*,3!KL-/3!-5.0(3
(357) +2*d-/. K.,3!-D`_ Kh* K1^M`BLc EK*,+KD=24 3 E"9 3 [{+>.0(JM`+Z-\.0*,+2D].0+2BE6 1 5 " 3 1BL.,+6U3A.,( K.{.,(3 -0Kc3EK=2]!3 E"9 3 +Z-{KLMM3!Me.0Bd.0(3A-/. K!.035B!f .
(358) 3S83
(359) *0_() " 3 FR<P(3g-/. K!.03gBf&.,(3{BL.,(3
(360) *)13
(361) ]*0BL1^-H*,3
(362) cbK!+21 -&]1 6 ( K1L3!M|R)4*,BLc .,(+6kBL1` E]* K!.0+>BL1143 23 & ¿$ & $ :`[z3l+>.03
(363) *FK.,3l.,(+-)?*0B6U3VM`]*03i]1`.,+2= .0+>ce3 0 N B!f .,(3{-/3!6UBE1 M *0+>1:![{(3
(364) *,3[z3cbK!783.,(313
(365) o`. j/]ce?^- .0(3!-\3 j/]ce? -&K!*03gM`+Z-\.0*,+2D].03!M KE6
(366) 6UBE* M`+>1.0B 5 " " F:K1^M-\BdBL1R }3{( K
(367) 83.,(`] -)M`3k 13!M K *,+2E(`.,q6UBE1`.,+21]BL]^-?*0B6k3!-0-<[{(+Z6¥( +-3!KE-\+>=2_ -\3
(368) 3S1.0BAD 3 K hK*,78B!e?*0B6k3!-0-kRlgB[A: -/+21 6k3+>. -{3
(369) 8BL=>].0+>BL1bD 3
(370) ./[3
(371) 3S1./[zBe-/] 6
(372) 6U3!-,-\+>83A-\?+>783!-+D M3
(373) .03
(374) *,ce+21+-\.,+6L: +>.&+-|3
(375) 1BE]L(.,B-/.0] M_.,(3zM`+-,6U*03S.03).0+>ce3?*0B6U3!-,- 3 2 & ¿$ & $ 698 [{(+6 ([z3gM`3
(376) 1BE.03gD`F _ 3 & ¿$ & $ 698 BL* 43 6B8 R Y .y+-)6U=23VK*0=>_ K hK*,78B!b6¥(^K+21R Y . -{.0* K!1 -\+>.0+>BL1?*0BLD^KD+>=2+2./_e+Z-U:`f BE *
(377) =
(378) 9
(379) 1) + , K!1 M D K!1`_ce3!KL-/]* K!D=23gf ]1 6U.,+2BL 1 hBL1 ) + , +Ãfzce+21 9
(380) =
(381) " +ÃfcBL*03 .0( K!1xBE13 & KL6 (+>3
(382) 83!-{.0(+Z-lce+21+2c]cJ:`.,(3
(383) 1h.0(3 -/cbK=>=23!-/.)Bf).,(3
(384) c+Z-{6¥(B-\3
(385) 1 :
(386) = 8 :;
(387) = "
(388). [{(3
(389) *03 "
(390) . =. . . 5 " " . . :[{+2.0(. )+ ,. " ! " '&. . @. =.
(391). +Ãf% ) " BE.0(3
(392) *,[{+-/38R Y 1#.,(3J-\3!8]3
(393) ={[z3J6UBL1 6k3
(394) 1`.,* K!.03bBL1 .0(3 -\.0]^M`_aBf .0(+Z-(hK!*078B!$6 ( K+>1&R#P(3 ^* -\.A*,3!-\]=>. -lBE1x+>.[3S*035BED. K!+213VMpD_aR')BE.0.,*03
(395) =>=+>1 r wuvR Y .[{KE-AKL-0-/]ce3!Mb.0( K!. f BE* ¿$ &$ " = [{KE-5M`+"! ] -\3JK1^M 5 " [ KL- KhOl+2*FKL6ce3VKL-\]*03BL1 -/BLce3 ( -R Y .[ KL-)?*0B!83!M.0( K!..,(3 hK!*078B!d6 ( K+>1 3 6B8 +*- )+>*0*,3!M`] 6U+>D=23 [{(3
(396) *,3 )p-\. K!1 M-f BE*.,(3,+|3
(397) D 3!-\E]3c3!KL-/]*03BE! 1 ) + , : K? 3
(398) *,+2BM`+Z6K!1 Mh.0( K!.
(399) :]1 M`3
(400) *A.0(3 6kBL1 M`+>.0+>BL1 -/.10372 8947 5036 [{(3
(401) *, 3 : ):SM`3
(402) 1BL.03V-|.0(3z6
(403) K!* M`+>1 K=>+2./_lB!f ) "/:E-\]??B-\3!MA.0BgD 3 +>1 M`3
(404) ? 3
(405) 1^M`3
(406) 1.lB!f & : .0(3 6¥( K!+21J+-l? B8-/+2.,+283A*03!6k]*0*,3
(407) 1`.SRgl3
(408) 83
(409) *,.0(3
(410) =>3!-0-k: -\+>c]=ZK.,+2BL1^-/(B![.0(^K.? B8-/+2.0+>83e*03V6U]*0*,3
(411) 1 6U3-\.0+>=2=)B6
(412) 6U]* -5f BL*d-\BEce3eEK=>]3!-5B!/f =ZK*0E3
(413) *.0(^K1 .$032;4<5036 f BL*z-/BLce3z.0BL? BE=2BLE+23!-k R g3
(414) 1 6U38:!.0(+-+Z-HBE1=2_ K=2B![3
(415) *yDBE]1 M5f BL*).0(36U*,+2.,+6
(416) K!= EK!=27 ]8=3A7 [3A=>B8BL7f BE*
(417) R }3 *F-\.gD 3
(418) L+>1hD`_bK!1 K=>_`~S+21d.0(3 D 3
(419) ( K
(420) `+>BL*gBf).,(3513
(421) ./[BL*,7b+21b.0(3 6
(422) KL-/35B!f{K 6kBLce?=>3
(423) .03S=2_d6UBE113!6U.,3!ME* K!?! ( +vR 38R{3
(424) 83
(425) *,_?^K+2*iBfz13
(426) ]*,BL1 -{+-g=2+21783!MD_K!1h3!M`E3 B!f).0(3E* K!? ( RzP(3 13!6U3!-,-0K!*0_bK!1 M-/] b6k+23
(427) 1.{6UBE1 M`+>.0+2BE1ef BL*{.0(35-/. K!D+2=>+2./_B!f).0(3 13
(428) ./[BL*,7b+-{3!-\.FKD=>+-\(3!M|R >l1^M`3
(429) *g.0(+Z-l6UBE1 M`+>.0+2BE1[z35L+>83A.0(3 3
(430) o`?=2+6k+2.3So`?*,3!-0-/+2BE1 B!f .0(3{-\.FK.,+2BL1^K*0_ M`+-/.0*,+2D].,+2BE1B!f 43 698 K1 M5.,(3{M+-\.,*0+>D].0+>BL1ABf .,(3zM`]* K!.0+>BL1 B!f).0(3+>1`.,3
(431) * -/?+2783V-HB!f)KL+>83
(432) 1e13S]*0BE1&R =. =. . $ #
(433) " ,
(434) & #
(435) ". .
(436) Y 1e.,(3 -\3!8]3
(437) = [3 KE-0-\]ce3.0(^K.
(438) :8f BL* ¿$ & $ " +-).0(33So`? BL13
(439) 1`.,+K!=&M`+Z-\.0*,+2 D].0+>BL1[{+2.0(h?^K* K!ce3
(440) .,3
(441) * ) " ) "( -:¼.,(36
(442) KL-/3Bf{E 3
(443) 13
(444) *FK= ¿- [{+>=2=<D 3dK!1 K=>_`~
(445) 3VM +>1r uvR. ¼?¹ · ¼?¹TµAµ ¼£·º µ4·¹%¸ »AµAº4¸ C»A½ )½ A¸£½)»( 4BE* ¿D$ & $ :[z3-/3
(446) .
(447) " = 5 6 = ) " (
(448) "4 R Y 1.,(+-i-\3!6U.,+2BE1[z35?*,B!835.0(^K.
(449) : ]1 M`3
(450) *).0(36UBE1 M`+>.0+2BE1cbKo 9 "
(451) 5 " 6 - ¿ :`.,(3hK*,78Bd6 ( K!+21F43 6B8 a+Z-<3
(452) *0EBM`+6L: K!1 M[z3J6UBLce?].03e.,(33V]+>=2+>D*0+>]c M`+-/.0*,+2D].,+2BE1B!fA.0(3+>1`.,3
(453) * -/?+2783V-BfKpE+283
(454) 1 . . 13
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(456) 1BE.03AD_:9d.0(3A?*,BM`] 6U.gce3!KE-\]*,3<; ">= 9 " ?A@ !`" B&X CEDGF cbK!o 9 "
(457) " - ¿IHKJML N OQPSRTVUSWYXZL[PS\M]. 43. \M][WcPSRd\MPS]eJgf/RUSh'PSh\ai\aJkjY_lN4PIbmeRZN. = o n. ¿2$. q L NrRZNH F USR. & $ H " = p. " \tb<JML N<^S\tbrJuRd\MhcmSJu\MUS]:\M] ) + ,. PS][^ n.
(458) | |. =. B"
(459). | |. ¿.
(460) 9
(461) . "
(462). ". o. . =. 6B8. PS^S_`\aJMb`JML N. "n ". 9¿. ). #
(463). 4s. 9. U F JML N<R4PS]v^SUS_wWxN4XdJkUSR.
(464) ,. zy ". , "7{
(465) ". q L NrR'N. L[PIbA^S\tbrJkRr\MhcmSJk\MUS] 9 H. L[PIbA^S\tbrJuRd\Mhm}Ju\MUS]. . #. ). ">= l 9 p. . 5. " H. y " " PSRZN~\M]v^Nkf Nr]v^Nr]eJH JL N& JML. X'UxUSR4^S\M]vPJzN~U F {
(466) ". ) + ,. \tb`N4cmePiJuUcH2JL NAUJML NrRb`PSR'N<N4cmPi JuU- cH. w.
(467) y. " L[PIb JML N bPS_lN ^S\tbrJkRr\MhcmSJk\MUS]. ¿ |. cmvNrmvN q \aJML. . 5 2;6. . hcj. cKo. " 5 = 2;6. JML N. brJuPJu\MUS]vPSRdj. JL N. " =. ¿. y ". #.
(468). , " #
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(472) "&f BL*13S]*0BE1 & K!1 M 3 * =
(473) , y " , "`f BE* = & :L[{(3S*0 3 y " "
(474) & ¿$D$ K*03{+>1 M`3
(475) ? 3
(476) 1^M`3
(477) 1.
(478) R P(313S]*0BE1x[{+>.0(.0(3-\cbK!=2=>3!-\.g+21(+2D+>.0+2BE1 -\.F K.03d [{+2=>= *,3 *F-\.SRP(3
(479) *03K*,3./[B ? B-0-\+>D+2=>+2.,+23!
(480) - R Y f
(481) " -wy " , " :13
(482) ]*0BE1 & *,3!-5K!8K+>1$K1^> M 3 9 & =
(483) " 3 9 =
(484) , zy " , " #
(485) " , " f BL* = & :&[{(3
(486) *,3
(487) " K1 M#" K!*03dBL.,(3
(488) *A+21 M3
(489) ? 3
(490) 1 M`3
(491) 1. * K1^M`BLc EK*,+KD=23!-[{+>.0(b*03!-/? 3!6U.0+>83AM`+Z-\.0*,+2D].0+2BE1 #- " K1 M 5 "R R Y f
(492) " y " , " 3+*9 y " , " f BE*3S83
(493) *0_ ¿ $ $ xRbOl]3.,B.0(3 M`3
(494) .03S*0ce+>1+-/.0+63S8BL=2].0+2BE1eBf 43 5 576B8 :<; D 3
(495) ./[3S3
(496) 1J-\?+>783!-U:
(497) = <+Ãf =
(498) # ¿2$ $ z[{+2.0( $ ce+21 9
(499) RzP(3
(500) *,3Uf BL*, 3 3 9 ( KL-{.0(3 ( 3!* =
(501) f BL* -0Kc3dM`+-/.0*0+>D].,+2BL1KL-+Ãf{.0(3+>1+2.,+K=y-\.FK.,3e[3
(502) *,3 3 * [{+2.01 = & K1 M 3 * & =
(503) " zy " , "7 R 3!6
(504) K]^-\3Bfz.,(3] -\]^K=<?*,BL? 3
(505) *,.0+23V- B!f # 3
(506) o`? BE13
(507) 1.0+K!= M`+-/.0*0+>D].,+2BL1^-U:`.,(3AM`+Z-\.,*0+2D].0+>BL1eB!f 3 * 6UBL1 M+2.0+>BL13VMBL# 1 "
(508) " y " , B"%$+Z-{-\+>ce?=2_ 9^R P(] -k:`f BL * = 9 ) + , : n. n. . = n. " = '
(509) & ¿)( +*-, , +. { s u 0 / s-13256x4 2 5 2 , 57,3 , s 6 , / 698 ,
(510) " y " , "459 . ?/.
(511) } 3dK*,3=23Uf .g[{+2.,(h.0(3 6UBLce?]. K!.0+2BE1B!f 9 Rl3S*035.,(35+>1+2.,+K!=<-/. K.,3 3 * +
(512) :(3
(513) 1 6U3A+ f
(514) = ce+21 9 & "
(515) &$8:<3 9 =
(516) K1 M 3 9 =
(517) & #
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(519) *03 n +-l.,(3dM`+Z-\.0*,+2D].0+2BE1B!f{.0(3* K1^M`BLc 83!6k.0BL*
(520) , { R+3!6
(521) K!] -\3 Bf ¿ [z3( K
(522) 83 y " , " $
(523) " = zy " = -/)K!1 Me.0(+Z-8] K1.0+>./_+Z-U:KL6
(524) 6kBL* M+21.,BFqs/ ¿ #
(525) "/R>-/+21d.0(353!8] K=>+2./_eB!f).0(3 +&K?=ZKL6U3 .0*FK1 -qf BL*0c-CB!f.,(35c3
(526) cD 3
(527) * -)Bf ¿ : [z3 6
(528) K1b*03S[{*0+2.,33!8] K.,+2BE1 ?zKLn. ". . = n ". ¿ . #. #. , ¿. "4 n "
(529). #
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(531) 1.e6UBE1 M`+>.0+2BE1f BE*e.0(3-/. K!.0+2BE1 K*,+2./_#B!f -0K!.0+Z-Äf _ n = 1 "= 9 " n " +-.0(^K. 9 p p p o. 9. ">=. BE*l.,( K.f BE*l3S83
(532) *0_ & :. p. " . ¿$ ". I3
(533) .0.,+21. "= p. "?. ¿ #. p
(534). ¿. ¿. #. . "4
(535). # o& = " ) &. ,. n ". & $ x:. o. #
(536). " o. &= ". )&. = )"o. "?)[3AL3S.. )& &= 9 ). ". o. ". = o. . = ". = 9. . p. ) n . = ". . ¿. #
(537) . = -. . . 3
(538) 2 2 6 3
(539) R 1 4+>1 K=>=2_8: " = 9 s :yK1 Mh6 .0(3d1BE*0cbK!=2+2~VK.0+>BL1h*,3
(540) =K!.0+2BE1 1 "= 9 " = ¿ ?*0BLD^KD+>=2+2./_<<p E+283!-.,(3AL K!=2]3AB!f R 0l]*{.0(3
(541) BE*03
(542) c +-?*,B83VM|R p. .,(`]^-. " = ) "&[{+>.0( =. 1. . n. +Z-K.
(543) . 8 . 8 $'&. ( & (4) 8 . P (3hM`3
(544) .,3
(545) *0c+21 K!.0+2BE1aBf .0(3 M`+-/.0*0+>D].,+2BL1$B!f5.,(3b+21.03
(546) *F-\?+>783!-5K!.e3!8]+2=>+2D*,+2]c KE[z3
(547) =2=KL-l.,(3 -\.,] M`_bBf).,(3A+21 -/. K!D+2=>+2./_B!f).0(35?*,B6U3!-0-{[{(3
(548) 1JcbKo 9 "
(549) "1( ¿ K*,3 -/.0*,BL1E=2_b*03
(550) =ZK.,3!M.0Bd.0(31BL.0+>BL1JBfyD] -\_?3S*0+2BM1D&Rt?&R f BE*K!1 ¿ 8]3
(551) ]38R Y f&1& 3
(552) ]*0BE1 & +-<.0(3{& *F-\.13
(553) ]*0BE1e.0BA *03iK.z.0+>ce 3 E = -`:[3iM`3
(554) 1BE.03g*03!-/? 3!6U.0+>83
(555) =2_ D! _
(556) " ;& 698 K1 M " & 6B8 g:<.0(3e-/3!]3
(557) 1 6U3!-B!fi-\] 6
(558) 6k3!-0-/+2835 *,+21 -\. K!.03!-5B!f & K!1 M +>1(+>D+2.,+2BL1^--\3
(559) 1.D_ & R P(3
(560) 1&:&& D 3!6
(561) K!] & -\3B!f{.0(3e6UBEce?=>3
(562) .03
(563) =>_e6kBL113V6U.03!M.,BL? BL=>BLE_8: +Ãff BE*d-\BLc 3 ) x: 1 & = 9 " #
(564) " ( -`:f BE * &
(565) = ¿
(566) :<13
(567) ]*0BE1 & [{+>=2=)D 3 .,(3dBL1=>_hBL13e.,B *,3D 3
(568) ./[z3
(569) 3
(570) 1 1 -K!1 M 1 &=
(571) " R Y 1x.,(+- 6
(572) KL-/38:&+ fC-\BLc313S]*0BE1 M+ ! 3
(573) *03S1`.Af *0BLc & ( KE-5+21(+2D+>.0+2BE1$-\.FK.,3
(574) #K!9 . E = -`:zK. & .0+2c(3 & E = 1 &= 9
(575) " & f BL*
(576) " ¿ $8:8+2. -<+>1(+2D+2.0+>BL1 -\. K!.03[{+>=2=D 3
(577) , 1 &4 = 9 " #
(578) " yK1^M .,(`] -)-/.0*0+Z6U.0=>_ E*03!K!.03
(579) *{ ., ( K 1
(580) M`]*0+21.0( K!.l? 3
(581) *,+2BM|R +|3
(582) .g] -{M`3k 1 3 " 9 K!1 M eD`_ & s9 & & & " 9 = -\]? " o " : o " #
(583) " ( -
(584) $ $ = o " 9 &4= &= 9 9 &= 9 3S.\[z3
(585) 3
(586) 1 1 -JK1 M " 9 : & [{+>=2=<D 3e.,(3dBL1=>_x13S]*0BE1a.0Bb *038RbP(3b-\] 6S6U3!-0-/+2835 *,+21 .,+2ce3V-H[{+>=2= D3 1 & s = 9 9
(587) " & :
(588) = ¿ |R)n{.3!KE6¥(bB!f<.,(3!-\3A+>1 -\.FK1. -U: K!1+>1(+2D+2.0+>BL1 M+-\.,*0+>D].03VMKE- " +Z-l-/3
(589) 1`.{.,BeK!=2= .0(3 BL.0(3
(590) *{1BM`3!-kR{lB!& [A:.0(3]1 M`3
(591) *,=2_+21D ¿ 8]3
(592) ]3+-]+>.03 6U=23!K!*+ÃfA[3 KL-,-\]ce3J.0( K!. 1 & =
(593) " :
(594) % ) x:gK*,3.0(3K*0*,+2EK= +>1 -\.FK1. -Bfz.,(3d6U] -/.0BLc3
(595) * -l[{(B*,3!8]+2*,35.0(3d-\3
(596) *,9 `+Z6U3!- " 6B8 gR Y 1h.0(+-6UBE1`.,3
(597) o.
(598) : " 9 +-A-\+>ce?=>_.0(3eM`]* K.,+2BE1aBfiKbD] -\_? 3
(599) *0+>BMa-\.FK*,.0+21[{ +2.,(aBL13e6U]^-\.0BEce3
(600) *SR Y f [z3dM`3
(601) 1BE.03D_ yI4E {.,(3d[BL*,7`=>B8KEMxK!..0+>ce3 EgBf .0(+Z-]3
(602) ]38:f BE* E $ " 9 !: yI4E +Z- 3VKL-\+>=2_ -\3S3
(603) 1#.,BaD 3h.0(3KEMM`+2.,+2BE1 K=g+21(+2D+>.0+2BE1#B!f5.,(3BE.0(3S*e13
(604) ]*,BL1 -M`]3h.0B . E = " 9 : yI4E = -`:z-\Bh.,( K..,(3e13
(605) ]*0BL1^-M`+ ! 3
(606) *,3
(607) 1`.Af *0BEc & *,3!6UB!83
(608) *A.0(3 & RhnC2 +>1+2.,+K!=&+21(& +>D+2.,+2& BE1h-\.FK.,3.0(3
(609) _b( KEMhK..,+2ce3 -eK1 Mh13
(610) ]*0BL1 & ( KL-g+21(+>D+2.,+2BE1h-\.FK.,3 1K!=2= &=.0(9 3g
(611) +21" (+2# D+>.0+2" BEF1b:|[{-\.F(K+Z.,6¥3!(h-+ZM`-3V6UK*01h3!KE3
(612) -\o3? D BL3
(613) 1=>3SB!1`[ .,+.0K(=y3
(614) L+>K!*)*0+2+Z1K+>D.0=>+3K!= [{L+2K!.0=2(h]3i?^]K* 1`K!.,ce+2= 3
(615) K.,3
(616) 1* 3
(617) ]) *0" BER51eP (*03S3!1 K!1 ME3
(618) 13
(619) *FK.,3!-lK13
(620) [ D&Rt?&RK!1 M-/BeBL1RP(] -U: .0(3D 3
(621) (^KV+2BE*lB!f<.,(3513
(622) ./[BL*,7b6
(623) K!1 D 3gM`3V-06U*,+2D 3!M5D_5K ?B-0-/+2D=>_ 1+>.03 ¼-\3!8]3
(624) 1 6k3Bf D&Rt?&RE3
(625) 13
(626) *FK.,3!M5D`_ .0(3{13
(627) ]*0BE1 -UR. .
(628) . "Q R E "N RR R "9 3. . " RR RR . . . . . ?-.
(629) 5" 9 -. .
(630) 5" N.
(631) "s9 . XlC. . Y 1(+2D+>.0+2BE1eBfy13
(632) ]*0BL1,. .
(633). ". D 3
(634) ./[z3
(635) 3
(636) 1 - K1 M " 9. = &. . "9. . }3A1B![ *03V6
(637) K=>=|.0(356k=KL-,-\+Z6
(638) K= ?*0BE?3S*0.0+>3!-BfHD] -\_?3S*0+2BM- v -\3
(639) 3r ¿ u4FR. A! ) S ! B&X
(640) L N h | f | #" \tb P | b | ]v\aJ N \ F PS]v^ US]eij \ F
(641) " $ ¿ | D ] JML[\tb X'PIbxN<JML N Pdf i>PSXdN JuRPS]}b F USRr_wU F #" bPJu\tb NbAJL N F UiGiU q \M] N4^ f[US\M]JKN4cmPJu\MUS] " = 5 " , ) " ¿ # " @ ) + , 4 DGF
(642) "9( I ¿ H " = . = " ( - |. Y 1b? K!*0.0+Z6U]=ZK*
(643) :.0(+Z-+2ce?=2+23V-H.,( K.g+ f6
(644) " - ¿ : .0(3S1.
(645) ( #"4. ¿ =. .
(646) D "7 #.
(647). " . .
(648) . *. . . . $47e #$. . 8K #$4) &%)5,- #. w$'&5 ! 7 $ !7. A! ) S ! B&XGB ][^NrR JL NKbrJkPJu\MUS]vPSRrjlR'N \M_lNH6JL N~\M]JzNZR b f/\tTSN )
(649) " U F ] NrmeRUS]D& L[PIb Pdf iPSXdN JkR4PS]}b F USRd_ ) " r y " ) " 5 " ) " qu )" y "? , ) "4 5 "? , ) "4 %) + , ) " = ¿ , , , )" , , 1 = " ) ¿ # /G )", # PS][^N f N4XdJzN4^ WcPi>m N
(650) D?) " = ) ¿ " , ¿ # ) "
(651) " o = " ¿
(652)
(653) # A!& 4*0BEc P(3
(654) BL*,3
(655) c'R ¿ +>.+-i6U=23!K!*l.,( K. n "<+-l.,(3d-\.FK.,+2BL1^K*0_ M`+-/.0*,+2D].,+2BE1 n 6UBE1 M`+2.,+2BE13!MeBL1J.0(3A3
(656) 83
(657) 1..,( K.g13
(658) ]*0BL1 & +- *,+21RP(] -U: K.gKd-\?+2783ABf & :.0(3 +>1(+>D+2.,+2BL1-/. K!.03d+-/
(659) ")f BL* & : K1^M
(660) , y " , "<f BL* = & Rdn-+>1x.,(3?*0B8B!fB!f P(3
(661) BL*,3
(662) c `R ¿ :+Ãf<13
(663) ]*0BE1 & *03!-gKK+>1!
(664) "$- y " , "4F:.,(3A+21.03
(665) *F-\?+>783+-g-\+>ce?=2_
(666) "qR 0g.0(3
(667) *0[{+Z-\38: 6UBL1^M`+2.,+2BL13!MBE1 "
(668) "$( y " , B"%8$ :|K!.#E = y " , " .0(3 83!6U.0BE*lB!f. .,(3A+21(+2D+>.0+2BE1b-\.FK.,3!-C[{+>=2= ( K
(669) 835M+-\.,*0+>D].0+>BL1 9 R Y 1b.0(+Z-{6
(670) KL-/35.,(3A+21.03
(671) *F-\?+>783l[{+>=2= D <3 y " , " , 0 "[{(3
(672) *03 0<"+Z-<.0(3g.0+>ce3{M`]* K.,+2BE1]1.0+>= K5-/?+2783{B!f & [{+2.,(.0(3g+21+>.0+ZK= M+-\.,*0+>D].0+>BL1 9 R)4BL * ) + ,<:[3i.0(] -CE3
(673) .. .
(674) & ¿ 5 * ,3 , 6 {xs 8 ,
(675) & ¿ 5 ,. ) "? / =. [{(+6 (_+23S=M-. . . ,. 6. . 5,. {xs. ,. . 68.
(676) Dz{xs 2 . , & ¿ # y " ;) " , 5 " ;) " , 8 , y " ) " , 5 " ) " , 0 " P&Bh6UBEce?].,3 0 " F:<[36UBL1 -/+M`3S*.,(3 * -/.5-/?+2783d-/. K!*0.0+>1[{+>.0(M`+-/.0*,+2D].,+2BE1 9^R5nlK+>1x+Ãf & *03V-U: 0 " =
(677) " = ce+>1 6
(678) R 0g.0(3
(679) *,[{+-/38:|Ke13S]*0BE1 = & [{+>=2= ^*03dK1^MpE3
(680) 13
(681) *FK.03dKdD] -\_h? 3
(682) *,+2BM 9R5 n{ .g.0( 33
(683) 1^MBf : .0(3dM`+Z-\.,*0+2D].0+>BL1h+-<9 K!8K!+21&:|.,(3
(684) *,3Uf BL*,3+0 " =
(685) , , 0 " [{+2.,(40 " 5 = 2;6 0<"<K!1 M.0(3 *
(686) Rt|R
(687) 9 0 " K*,3 ) " =. ). ". ). ". +>1 M`3
(688) ? 3
(689) 1^M`3
(690) 1.
(691) R}3ABLD.FK+>1.0(^K. K!1 M. 0 " = )&4" = ) & , o = " ) & = , 1 9 , 1 9 )" 0 " = ) " , , 1 = " ) ¿ #. I.0* K!+2E(`./f BL*0[ K*FM6UBEce?].FK.0+>BL1 -^1+-/(.,(3A?*0B8B!f,R. ¿-. . )& . 0 . " . @ .
(692) 6 · ¹%·'½)¼ ! "%$½ ¹z¸ ¹ · ¼?¹ ·!c ¼?¹µ & µ4¼?· º µ4·¹z¸5 . . 5). $ !$ . . 0g]*gK!+2c+>1b.0(+Z-{-\3!6U.,+2BE1+Z-.0Bd?*0B!83.,(3f BL=>=2B![{+21. !`" &X. ?A@ C L Nr] 6B8 O PSR TIUSW XZL[PS\M] 3. . cbK!o 9 :
(693) X'US]vWINrR Nb \M]. n |. . ¿. IH m][^NrR S P ]vj \M]v\aJu\MPi`X'US]v^S\aJu\MUS]}H JML N ^S\tbrJuRd\MhcmSJu\MUS] uJ U:JML N brJkPJu\MUS]vPSRrj:_lN4PIbmeRZN. &P B-\(B[ +2.
(694) :<[z3b[{+2=2=)?*,B!83.,(3f BE=2=2B![{+>1h?*0BE? B8-\+>.0+>BL1&:+>1`.,3
(695) *03V-\.0+>1b+21$+2.F-5B![{1 *,+2E(`.SR Y .d3!-\.FKD=>+-/(3!-dKp*,3!6U]*,*03
(696) 1 6k3?*0BL? 3
(697) *,./_B!f BL]*FhK!*078B!a?*,B6U3!-,- P(3
(698) *,3 3So`+Z-\. -Kx1BL1qM`3V6U*03!KE-\+>1 -\3!8]3
(699) 1 6k3Bf .,+2ce3!-dK.[{(+6 ( BL]*?*0B6U3V-0-e( KL-b-/BLce3 -/? 3!6U+ ^3!MhM`+-/.0*,+2D].,+2BE1 (3
(700) *03 9^:.0(3?*,BM`] 6U.AB!fg3
(701) o`? BE13
(702) 1.0+K!=)M`+Z-\.0*,+2D].0+2BE1 - FR Y . 6SK1D 3-/3
(703) 3
(704) 1dKE-<K1d3
(705) o.03
(706) 1 -/+2BE1Bf .0(3g6k=KL-,-\+Z6
(707) K=?*0BL? 3
(708) *,./_5Bf *,3!6U]*,*03
(709) 1 6k3f BL* hK!*078B! ?*0B6U3!-,-\3!-[{+>.0(JM`+Z-06U*,3
(710) .03i-\.FK.03 -/? KL6UD3 v-\3
(711) 3dr ¿ u f BL*gKM`+Z-06U] -,-\+>BL1bBfy.0(+Z-?*,BL? 3
(712) *,.\<_ R A! ) S ! & X DaF cKo 9
(713) - ¿xH5JL Nr] \
(714). Pi_`UIbrJ3bmeRZN'i>j H NrWxNrRdj ] NrmeRUS]. \M\
(715). JL NrR'N N t\ brJb P brJkUdfSf/\M] Jk\M_lN L PIbA^S\tbrJuRd\Mhm}Ju\MUS] 9 [ JL[PJ 3. 2. .
(716). . RZNb PJ iaN4PIbrJ US][XdN. . H P b | |. |. ]v\aJ NH F USRJL N f/RUxXdNb'b. A!& > -\+>1.0(3 8]3
(717) ]3S+21dK!1 K=>BLL_:=>3
(718) .{] -gM`3
(719) 1BE.03AD`_. 3 5 576B8 : ; bmeXZL. .0(3 -/3!]3
(720) 1 6U3 B!fA+21(+2D+>.0+>BL1$83!6U.,BL* -dK.d.0(3D 3
(721) L+>11+>1xB!f -\]^6
(722) 6U3!-,-\+283bD]^-\_$? 3
(723) *0+>BM-UR _aBE]* KE-0-/]ce?.,+2BL1K1^Me;<*0BL? B-\+2.,+2BEF 1 `R¿s`:`.,(3gD] -\_? 3
(724) *,+2BM-zK*,3AK`R¿-UR¼^1+2.,38R<lBE.0+Z6U3{.0( K!. .,(3
(725) +>*AM`]*FK.0+>BL1 -AK!*03d+21 M`3S?3S1 M`3
(726) 1.* K!1 M`BEc LK!*0+ZKD=>3!-UR Y fz13
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