The Three Gap Theorem : Specification and Proof in Coq
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. The Three Gap Theorem:Specification and Proof in Micaela Mayero. No 3848 D´ecembre 1999. ISSN 0249-6399. ISRN INRIA/RR--3848--FR+ENG. ` THEME 2. apport de recherche.
(3)
(4)
(5) !
(6) #"$ &%'
(7) (%)+*,-(./ %1023 64 587:9<;>=?9@4A9CBD;>EGF HJILKGMN(O&PRQTSGULVWNXZY\[]VZ^_VWNGX N_`a^_bcXd^ efXhgji:M&kDY\XZVdl]efN monpY\qrN `tsYCl ubcvLvDY\np`wCNnxNG^yILNGnx^yILNU{z\|\}\~]}PRtSG^_N_M{kLnpN\\(P |\vfb\[\Ng. G_L\\A NvLnxNGgpN_U>`-bgjvDNG^_V<^Gb`xVWY]U/b\UfwbvLnxY:YcTVWUCY\t`xILN`pILnxN_N[]b\v`xILN_Y]npNGM Y\n VZULVW`pVdbcXZXWi¢¡>`pNGVWUfIfbcefg^ Y]UqrNG^ `peLnxN£ ILY]gpNnpNgjefX`Vdg`xILN¤Y\XZXZY£ VWUL[<¥XWN_`¦ kDN`pIfN§wCVdgr`xnpVZkLeC`xVWY]U/Y\ vDY\VZU>`xgtvLXdb\^ Nw^ Y]UfgjN^ eC`xVW¨]N_XZib\npY]eLUfwb^ VZnx^_XWN(k:ibcU©b\UL[\XZN&Y\ ª «D`xILN_U§`pILN{v<Y]VWU>`xgtvfb\nj`xV`xVWY]U`pILN ^_VWny^ XZN#VWU>`xY[>bcvfgJY\bc`MY>gr`J`xILnpNGNwCV¬N_nxN_U>`XZN_UL[\`pIfgG® Ngr`ybcnp`k:iM-bc¯:VWUf[b\Ub°CVZY\M-b`xVW±b`pVZY\UYc`xILNnxNGb\XU:eLM{k<NGnxgVZU¢hCVZUY]nxwLN_n{`pYefgjN`pILNGM VZU`pILN-wCNG¨\NGXWY]vLMN_U>`G®-HJILNGnpNb²`pNGnG³£N-wCN_fULN´bcXZX`pIfN-Mbc`pILNGM-b`pVd^_b\X`pY:Y\Xdg#ULN^ NGgxgxbcnxib\UfwgjY]MN XZN_MM-b\gJe<gjNwVZU`pILNvLnxY:Ycr®oµVZUfbcXZXWi£Ngj`xb`xNT`pILN#`xILN_Y]npNGM® ¶·>¸¹xº&» ¼\ hCffnpNbcXU:eLM&kDN_nyg_LgpvDNG^ VW<^Gb`pVZY\U³LvLnxY>Y\r:`pILNGY\nxN_M:`pIfnpNGNT[>bcv`pILNGY\nxN_M ½d¾¿pÀ?ÁGÂJ¿ ÃÄZÀ?Å8Æ Ç. 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.
(8) "$ ) "³( %{"$Jt
(9) h
(10) !
(11) #"$ (%!" ( % 023 ¦aY\efgtvLnxSGgpN_U>`pY]UfgaefULN{gpv<S^ VW<^_bc`pVZY\U©N_`TefULN&vLnxN_ef¨\N&NGUh:wCe§`pILSGY\nxK_MN{wCNg`xnpY]VZg VZU>`pNGnp¨bcXZXZNGgGCY\eVWUfV`xVZb\XWNGMNGU>`t^ Y]UqrNG^ `peLnxNwCN{¡>`xN_VZULIfbce<gwCY\U>`XZNnpSgjefX`yb`NGgj`XZN(gjeLVZ¨bcU>`G¥gjY]VWNGU]`a¦ vDY\VZU>`xg vLXZb]^ Sg ^ Y]UfgpSG^ eL`pVZ¨\N_MNGU]` b\eC`pY]eLnw eLU^ N_ny^ XZNMYCwCeLXZY(eLUb\UL[\XZNª«>XZNGg!¦ vDY\VZU>`xgvfbcnp`pVW`pVZY\U UfN_U>`XWN^_N_ny^ XZNTNGUbcevLXWe<gJ`pnxY\Vdg!XWY]UL[\eLNGeLnyg wCV¬S_nxN_U>`xNGg w VWU>`xN_nx¨ b\XWXZN\® mY]eLn ^ N# bcVZnxN\:ULY\e<g ^ Y\MMN_U<^ N_nxY\U<gv<bcn! bcVZnpN#eLUfN#bc°CVWY]Mbc`pVdgpbc`pVZY\UwCNGgJULY]M&kLnxNGg!nxS_NGXZgJwLb\UfgaC bcfUwLNtvDY\eL¨]Y\VZnXZNGg!eC`xVWXZVdgjNGnbce^_Y\eLnyg!wCewCSG¨\NGXWY]vLv<NGMN_U>`G®o¦aY\efgJwCS_fULVZnpY]Ufg v<bcnJXZbgpeLV`xNa`xY\efg!XZNGg Y]eC`pVZXdgM-b`pIfS_M-b`xVZl>eLNgULSG^_NGgxgpb\VWnxNGg#b\VWUfgpV l>eLN´^_N_np`xbcVZUfg#XZN_MMNGgVZU>`pNGnpMSGwLVZb\VWnxNGg#eC`xVWXZVdgjSg&wLb\Ufg#XZb vfnpNGeL¨\N]® UCfUULY\e<gJS_ULY]Uf^ NGnpY]Ufg!XWN#`xILS_Y]npKGMN]® » ¹ C<fULY]M&kLnxNGgJnxS_NGXZgG<gpvDSG^ VW<^Gb`pVZY\U³LvLnxN_eL¨]N\C`xILS_Y]npKGMN]L`xILS_Y]npKGMN(wLNGg `xnpY]VZgVWU>`pNGn ¨b\XWXZNGg.
(12) hC. |.
(13) !"# "$&%'()+*,-". .. /10325460327. _ » ¼$\): »;9 =?>A@ · · 9 · ]®W HJIfN(^yILY\Vd^ Nt¤Y\n `xILNwCN <ULV`xVWY]UYc`pILNnxNGb\XDU:eLM{k<NGnxgJVZU§C ®®®#®®#®®#®®®T®® ]® O HJIfN(b°CVWY]M-b`pVZ±Gbc`pVZY\UYc³`xILNnxNGbcXU:eLM{k<NGnxg ®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® | ¡CY\MNXWNGMMb]g6®#®®®#®®#®®#®®®T®®#®®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® |f®W HJILNT`pYc`ybcXhY]nxwLN_n ®#®®#®®®T®®#®®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® |f® O HJILNb\wLwCVW`pVZY\U®®#®®#®®®T®®#®®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® |f® | HJILN#M&eLXW`pVZvLXZVZ^Gb`pVZY\U ®#®®®T®®#®®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® |f® ~ HJILN#Y\vLvDY]gpV`xN(bcUfw`pIfN(gjeLkL`pnyb\^ `xVWY]U@®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® |f® D HJIL
(14) N ErXZNGgxg!`pIfb\U FTnxN_Xdb`xVWY]U ®T®®#®®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® |f® C HJIL
(15) N Er[]npNb`pNGn!`pIfb\U FTnxN_Xdb`xVWY]U®#®®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® |fH® G HJILN#VWUqrN^ `xVWY]UY\' I VZKU J ®T®®#®®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® |f® } HJILN#VWUqrN^ `xVWY]UY\N M¢VWOU J ®T®®#®®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® ~ HJIfNVWU>`pNG[\NGn!v<bcnp` b\Ufw`pILN#¤nyb\^ `pVZY\Ufb\Xvfbcnp` ®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® ~<®W aN_fULVW`pVZY\UYc`pILN#VZU>`pN_[]N_n vfb\nj`®®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® ~<® O aN_fULVW`pVZY\UYc`pILNT¤nyb\^ `pVZY\Ufb\Xvfbcnp`®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® ~<® | ¡:Y\MN#N_XZN_MN_U>`ybcnxi´vLnxY\vDN_np`pVZNGg@®#®®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® ~<® ~ HJILNgjeLkL`pnyb\^ `xVWY]UY\VZU>`pNG[\N_nJvfb\nj`yg ®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® ~<® D HJILNgjeLkL`pnyb\^ `xVWY]UY\$¤nyb\^ `pVZY\Ufb\Xvfbcnp`xg ®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® ~<® C HJILNb\wLwCVW`pVZY\UY\$VZU]`xN_[]N_n vfb\nj`yg ®®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® ]® ~<H® G HJILNb\wLwCVW`pVZY\UY\³¤nyb\^ `xVWY]UfbcXv<bcnp`xg-®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® · S V U @ ·:» · QR>A@ · @ ·:T OL®W1¡:`xb`xN_MN_U>`Y\$`xILN#`pILNGY\nxN_M ®#®®®T®®#®®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® OL® O m npY:YcYc$`pILN#`xILN_Y]npNGM ®®#®®#®®®T®®#®®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® OL® OL®W ¡>`xb\[\N#Yc$`pILNvLnxY:Yc ®#®®®T®®#®®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® OL® OL® O ¡>`xbc`pN_MNGU]`Y\³`xILN#`pILNGY\nxN_M ®®#®®#®®®#®®#®®T®®#®®®#®®#®®#®®®T®® Y ;» 9 ) : Z» 9. 89. \]\6^`_)acbdb. < B C C. ] ] | LD LD PC PC PC PC. G G G } =W. O]O ]O O OXC. Q[.
(16) ~. ! X(. . 0325/
(17)
(18) 2'/. 0. gr`yb`xN_MN_U>` Y\`pILNa`pILnxN_N[>bcv`xILN_Y]npNGM ^GbcU-kDN`pIfN¤Y\XZXZY£ VWUL[<¥³XZN `J¦kDNtb(wCVdgj`pnxVWkLeL`pVZY\U´Y\vDY\VZU>`xg vfXZb]^ NGw^ Y]UfgpNG^ eL`pVZ¨\N_XZi©bcnxY\efUfw§b^ VZnx^_XWNk:i§b\Ub\UL[\XZN{Y\!ªh`xILN_U`pIfNvDY\VZU>`xg#vfb\nj`xV`xVWY]U§`xILN´^ VZny^ XZN VZU>`pY{[]bcv<g Y\³b`JMY>gr``pILnxN_NTwCVW¬DNGnpNGU]`JXZN_UL[\`pIfgG® tnpVZ[\VZUfbcXZXZi\c`xILVdg `xILN_Y]npNGM £!b]gb{^ Y\UcqrNG^ `xeLnxNak:i (® ¡:`pN_VZULIfb\efgG®¡:eLk<gjNl]efN_U>`pXZi\gjNG¨\N_nybcXogj`xbc`pNGMNGU>`xgbcU<wvfnpY:Yc g(Ifb ¨\NkDN_N_U[]VW¨]N_U ¡ #¡ D G ¡ #¡ Dc} ¡ D\} ¡ au D\} C D ¡ CG u }\} 8®´HJILNvLnxYC^ NgpgTYc wCNGMY]Ufgj`pnyb`pVZY\U£NvLnxNGgpN_U>`VZU `xILVdg npNGv<Y]nj`JVdg kfb\gpNGwY\UH$Y\U:i´¨bcUub ¨\NGUfgj`pN_VZU gJvLnxY>Y\ u }\} 8® HJILVdg¯:VZUfw§Y\JwLN_MY]gj`pnyb`xVWY]Uh£ ILVd^yIVZU:¨\Y\XZ¨\NgT[\N_Y]MN `pnxVd^_bcXVZU>`peLVW`pVZY\Uh$VZgbnxNGb\X^yI<bcXZXWNGUL[\N{¤Y\n vfnpY:Ycb\gxgjVdgj`xbcU<^ N#gjiCgj`pN_M-gG® HJIfb`VdgJ£ Ifb`MY\`pVZ¨ bc`pNwY]eLn £Y]np¯®HJILN_nxN ¤Y]npN]:`pILNVZU>`pNGnpNgr` Ycgje<^yI b\U´bcvLvfnpY>b\^yIVZgo`pY{eLUfwCNGnxgj`xb\Ufw>k>iMNGb\UfgoY\³bcU-N °Lb\MvfXWN]]VW`pILNCgjiCgj`pNGM b\XWXZY£goefgo`pY{vLnpY¨]N b{`xILN_Y]npNGM ^ Y]MVZUL[¤nxY\M vLefnpN#M-b`xILN_M-b`xVZ^Gg_® HJILVdgwCN_¨]N_XZY\vLMNGU]`Ifb\gk<NGN_U bceC`xY\M-b`xVZ^GbcXZXWi/¨\NGnpVWfNGw£ V`xI6¨\NGnxgpVZY\U CL® | Y\(`pILN C/vLnxY:Yc b]gpgpVdgr`ybcUf^_NgpiCgr`xN_M T G wCNG¨\N_XZY\vDNGwVZU `pIfN ¦au u YC^_l>eLNGUf^ Y]eLnj`&b\UfwVZU`pILN u tnygpb i]® hC-bcUfw`xILVZg ^_Y\U>`pnxVZkLeC`pVZY\UbcnxNb ¨bcVZXZb\kLXWN#b` ® g£!NT£ VWXZXgjNGNa`xILnpY]eL[\IfY\eC``pILVdg!npNGv<Y]nj`\`xILN#npNbcXDU>efM&kDN_nyg (J `xY\[]N `pIfN_n!£ V`xIM-bcU:iYc³`pILNGVWn vfnpY]v<NGnj`xVWNgvLXZb ibcUVWMvDY\np`xb\U]`ov<bcnp`ok<Y\`pI-VZU{`xILN ¤Y]npM-bcXZVZ±Gb`xVWY]Ub\UfwVWU`xILNvLnxY:Ycr®HJILN_nxN ¤Y]npN]`pILN <nxgj`vfbcnp`Yc`pIfVZganpNGv<Y]nj`awCNbcXdg £ VW`pI¤Y\nxM-bcXZVW±GVWUf[{`xILN(nxNGb\XU>efM&kDN_nyg_fb]g £!N_XZX³b\ggpY\MNvLnxY\vDN_np`pVZNGg Y\$`xILNVZU]`xN_[]N_nbcU<w´¤nyb\^ `pVZY\Ufb\Xvfbcnp`xg!¤Y]nVWU<gr`ybcUf^_N\CVZU`xILNhCvLnpY:Y\b]gpgpVZgj`xb\Uf^ N#gpi:gj`pNGMLM-bc¯:VWUf[ ^_XWNbcn `pILN#^yILY\Vd^ Ng `ybc¯\NGU-¤Y\n`pIfNtM-b`xILN_M-bc`pVd^_g!bcUfw´¤Y\nC<® U´`pILN#gjN^ Y]Ufw-vfb\nj`>£!NavfnpNgjNGU]``pILN `xY:Y\XdgnxNGl>eLVZnpNw¤Y]n`xILN(¤Y]npM-bcXZVZ±Gb`xVWY]UYc `pIfN`pILNGY\nxN_Mb\gab\XZgpY`pIfN{wCNG¨\N_XZY\vfMNGU>`¤npY]M VW`xgtvLnxY:Yc `xYV`yggr`yb`xN_MN_U>`G® HJILVdg#wCN_¨]N_XZY\vLMNGU]`#bcXZXWY£!NGwe<g`xY^_XZb\npVW¤igjY]MN{v<Y]VWU>`ygaY\o`pILNvLnxY:Yc bcU<wIfb\gtXZNGw`xYbMY\nxN wLN `xb\VWXZNGwvLnxY:Yc$Y\$`xILN#`pIfN_Y\nxN_MCvLnxNGgpN_U>`xNGwVWU ]} 8® . . . . . . !. !". . $#. . . %. & '('*). . . . . +. $#. , -.-0/(132.24/576987:.:05;$<=8?>0@985<BA0@2.;7CEDF275G.G080G.H4I4>.JK<L, -MN: . !. . O P. . Q R. TS. . UWV X \ UZY.
(19) hC.
(20) !"# "$&%'()+*,-". D.
(21) 4. . 4. 0. . 4. 7. U`xILVdg^yIfb\vC`pNGnG]£NavLnpNgjNGU>`o`pILNa¤Y\nxM-bcXZVW±b`pVZY\UY\D`xILNanxNGb\XLU:eLM&kDN_nygoe<gjNw£ V`xILVWU´`pILNa¤nxb\MNG£Y]np¯ Y\³`xILN#`pILNGY\nxN_M® ¡CN_¨\NGnxb\X^yILY\Vd^ Ng!b\npN#vDY]gxgjVZkLXZN\¥ . JH U ILVN(`yg^yIL efY]VZgp^_efNTbckDXoN `r¤Y\£!nxN_MNGUb\XWVZb±Gbc^_`pY\VZUfY\gjUh`p nx`xefIL^ NJ`xVW`p¨]IfNnpbcNGN!Ufb\[>XWbciCv&gpVZ`pgJILbcNGU<Y\wnxN_bM^ IfXdb\b]gxg gpVZb#^Gbc^ XhXdb\bcgxU<gjVdbc^_XZb\i:X>gpvfVdg_np® Y:Ycr®HJILN_nxN ¤Y]npN]£N ^_\b U{nybcVdgjN`pIfNJl>eLNgr`xVWY]U{Y\f`xILNJN °CVZgj`pNGUf^ NJY\Db#^ Y]Ufgr`xnpe<^ `pVZ¨\N!vLnxY:YcfY\f`pIfN`xILnxN_NJ[]b\v(`pIfN_Y\nxN_M® #N ^ Y]eLXdw-vLnxY\kfb\kLXWi[\VZ¨\NtbcU´VZU>`peLVW`pVZY\ULVdgj`pVd^avLnxY:Yc¤Y]nNb\^yI-Yc`xILNt`r£Y&^Gb\gpNGgG>b]^_^_Y\nywCVWUf[`pILN £ ILN `xILN_n-ª Vdg{nyb`xVWY]UfbcXY\nVWnxnyb`pVZY\U<bcXokDNG^GbcefgpN£!N¯:ULY£ N_°Lb\^ `xXWi`xILNXZN_Uf[c`pIYc`xILN[>bcvfg k<N_`r£ NGN_U`r£YvDY\VZU]`ygTYc `xILN-^ VZnx^_XWN]® !eC`Gh`pILN`r£!Y^_b]gjNg#^_bcUfULYc`#k<N`xnpNb`pNw©VZUbeLULVW¤Y\nxM £!b i]!® HJI:efgaVWUY]eLnavfnpY:YcVW`tgjIfY\eLXdwk<NgjefvLv<Y>gjNw`pIfbc`Tª@Vdgnyb`xVWY]UfbcX³Y\nULY\`tbcU<wgjY b\n£N wCY-UL\Y ` gpN_N]CILY£`xY´b ¨\Y]VZw´`pILVdgwCVdgr`xVWU<^ `pVZY\U³® Y\nxN_Y ¨]N_noVW`VZg´VWU>`pNGnpNgr`xVWUf[`xY ULYc`xVZ^_N`pIfbc`´`pIfN`pILNGY\nxN_M gpILY£ U/VZggr`xnpY]UL[\NGn{`xIfbcU¢`xIfb` £ ILVd^yI©!£ b]ggj`xb`xNGwVZULVW`pVdbcXZXWi]® UfwCNGNGwDULY\`tY\UfXWiwCY£!N&gpILY£A`pIfbc`a`pIfN_nxN{bcnxN(b`TMY]gj``pILnxN_N wCVW¬DNGnpNGU]!` XWNGUL[c`xIfgYch[]b\vfgG]kLeL`£!Nt^_b\U´bcXdgjY&[\VZ¨\N `xILN_VZn¨b\XWeLNTbcUfw-`pILNGVWn!vLXdb\^ NaY\U-`xILNT^_VWny^ XZN\® HJILVdg MY:Lw VfNwgr`yb`pNGMN_U>` VZgwLeLN#`pY u }\} ?® . '. R. . . "#. . JH³H £!ILN(Y^yv<ILY>Y]gpVZgp^_VZNTkLVWkDXZVWN `p`rVZ£!NGgN_NGN U°CVdbgr`^_Y\`pYUfgjwC`pnxNefgp^^_`xnpVWVZY]kDUNb\`xUfILNwnpbcNUbcXJb°CU:VZeLY\M&M-kDb`xN_VWny±gGb¥`pVZ£!Y\UNYc^_bcU/`pIL^NY]nxUfNGgrb\`xXnpe<U>^ef`M&`pkDILN_Nnyg_nx® NGb\XZgY\n b °CVZY\M-b`xVW±GNt`xILN_M® N&^yIfY]gpN#b\Ub°CVWY]M-b`pVd^_b\XwCN_¨]N_XZY\vLMN_U>` ¤Y]nnpNb\gpY\Ufg!Y\gpVWMvLXZVd^ VW`ribcU<w nx\b vLVdwCV`ri]® N-^_b\UnxN ¤NGnt`xY ¦ GC b\Ufw ¦ DC ¤Y\n^ Y]Ufgj`pnxef^ `xVWY]Ufgt¤npY]M s!bcef^yI:i gTgpN l>Le N_Uf^_NGgJY]naNwCVW¯:VZUfw g^ eL`xgG® HJLI N_nxNGbc²`pNGnGC£!NwCNGb\X£ V`xI`xILN(b°CVZY\M-b`xVW±b`xVWY]UVW`xgpN_XWr® Q !$. \]\6^`_)acbdb. =. !". +.
(22) C. ! X(. & . "$ )J%y"$ &%1(. "
(23) % J % 023 HJIfN_nxN ¤Y\nxN\£!N efgpNb#^ Xdb\gxgjVd^_b\XLb°CVWY]M-b`pVZ±Gbc`pVZY\U{YcD`pILN nxNGb\XCU>efM&kDN_nyg_®HJILVdgob°CVZY\M-b`xVW±b`pVZY\UbcXZXWY£g e<ga`xYkfeLVWXdw¤efUf^ `xVWY]Ufg#Yco`xILNnpNbcXU>efM&kDN_nygtVZU>`pY`pILNnxNGbcXU:eLM&kDN_nygT£ ILVd^yIbcnxN&UfYc`^ Y\U>`xVWU:eLY]efg_ b\Ufw`xILN_nxN ¤Y]npN(UfYc`#npN^ eLnygjVZ¨\N]®aµLY]na`xILVdganxNGb]gjY]Uh<£!N&vfXZb]^ N`xILN&`ri:vDN JYc `pIfN{nxNGb\X³U:eLM&kDN_nygtVWU>`pY `xILN(gpY\np` ® UfwCN_NwLVW£!N#`pNGnp M. >`pIfNVWU>`pNGnpvfnpN_`xb`xVWY]UY\b`ri:vDN C`xILN_
(24) U :VdgJ`pILN(gpN ` Y\h`pIfN#^_Y\MvLeC`ybckLXZNT¤eLUf^ `pVZY\Ufg!Yc. >VWU>`xY >£ ILN_U b\Ufw bcnxNtY\h`ri:v<N :£ ILNGnpNb\gV` Vdg!`pILN gpN ` Y\b\XWX`xILN#¤eLUf^ `pVZY\Ufg Y\. :VZU>`pY >£ ILN_U bcU<w AbcnxNtY\$`ri:vDN ® ¡:Y<:£NM{efgj`!wCN_fULNTVWU>`pY `pILNtNGl>eLVZ¨ b\XWNGU>`xgoY\`pILNTefgpefbcXDwCVdg¤qrY]Uf^ `xVWY]Ufgb\Ufw´l>efb\U]`xVD^_b`xVWY]U bcU<w ^ Y]ULULN^ `pY]nxg !wCN <ULNGwVWU ® . /I. . . . . . . '. . '. . '. '. IE-. '. /I. /I. O G64M C.C :. G67M CE@. P. G 8J. IE-. ?>E69;-98FIG?67MC.C.: !#"%$ 1%&.@FC4/'%1 /I 1)( :EI0A0- 1 H+*- , G67MC0C : ./$10 2 @ 8J0, - 1 $ H+*-, G67MC0C : ./$10 < ?>E 69;-98F IG?67M9CE@ 34 1 /FI65 $ 1%&0@FC7/' 1 /FI 1)( 8>:0I0A0- 1 H+*-+ , G64M9CE@ 7/$10 2 8> @98J0,.- 1 $ H+*-,+G64M9CE@ 7/$10 < ?>E69;-98FIG.8J 3! 1 IE-#58&%1 H+*+&0@FC7/' 1 /FI 1)( I+9 9 80G- 1
(25) ,:K9 1 ;0 ,:&<9 0 H=*-+, G 8J . & 0 <.
(26) A@´ &
(27) #"CB
(28) "$ (%(."$
(29) % J ©Y]gj`vfnpY]v<NGnj`xVWNgYcT`pILNnxNGb\X U>efM&kDN_nyg ^ Y]MM&eC`yb`pVZ¨\NfNGXZwh!Y]nxwLN_no`pIfN ny^yILVWMNwCVZb\U b°CVWY]M b\npN(fnxgj`aY]nxwCNGnavLnxY\vDN_np`pVZNGgG® tU`xILN&Y\`pILNGnaIfb\UfwD`pILN^ Y]MvfXWN_`pN_UfNGgxgvLnxY\vDN_np`riVdgTb´gjN^ Y]UfwY\nywCN_n vfnpY]v<NGnj`ri]fb\gaV`TnpNl]efVWNGnpNg!`pYl>efb\U]`xV¤iY]U`xILN{gpN `ygY\nxNGb\X³U:eLM{k<NGnxgG® Ufgr`xNGb]wYc`pILVdgabc°CVWY]M<£N ^GbcU©vfeC`(bcU§VZUCfUfV`riY\ofnygr`#Y\nywCN_n#b°CVZY\M-gGb]^_^_Y\nywCVWUf[-`pY£ ILVd^yIbcU:iYCwLw§wLN_[\nxN_N{Ifb\g#bnpY:Yc`#VZU J® N_U<^ N\C£!N[\N_`J`pILN npNbcX^ XZY]gpNGwfN_Xdw tULY\`pVZY\Uh® N`pI:efg^yILY>gjNb°CVZY\M-b`xVW±b`xVWY]Ub`#`xILEN D"$T$Xtkfb]gjNw§Y]U§`xILN b\^ `#`pIfbc` J Vdgb » ¹
(30) $GCP :GF ·§» ¼ · · ¼ @ : · ¼ : 9 9 ¼A » KU · · H· ¼ ®!µLY]n `pILNgjN&ULYc`xVWY]Ufg_f£N(k<b\gpNGwY\eLn £!Y\nx¯§Y]U C]} bcUfw uX C 8® `gjIfY\eLXdwk<Nv<Y]VWU>`xNGw Y]eC`&`xIfb`(`xILVdg{^yILY]VZ^_NbcXdgpY©^ Y\U<gr`xnxb\VWUfg `xILNefgjN{Yc^_XZb]gpgpVd^_bcX$XWY][\Vd^cgpN_N_VZUL[`pIfbc`#b\U©VWU>`xeLV`xVWY]ULVdgr`nxNGb\wLVWUL[Yco`xILN&`xYc`ybcXY\nywCN_nTVWU:¨]Y\XZ¨\NGg`pILN wLNG^ VdwLb\kLVWXZVW`ri´Yc`pILNNl>efbcXZV`ri-Y\$`xILNnxNGbcXU:eLM{k<NGnxgGC£ ILVd^yIY]k:¨>VZY\e<gjXZi\:Vdg ULYc`J`xILN(^_b]gjN]® Nk<NG[\VZUk>iwCN fUfVWUL[`xILNkfb]gjVd^#^ Y\U<gr`xnpef^ `pY]nxgG¥ HJILN#`ri:v<NY\$nxNGb\XU>efM&kDN_nyg_® ?>. R. . O. P. . . . . . . . 4. . UWV X \ UZY.
(31) hC.
(32) !"# "$&%'()+*,-". &F57@F5M9IE-. G. K1 /I<. IE@. µVWNGXZw^ Y]Ufgj`pnxef^ `xY\nyg_® &F57@F5M9IE&F57@F5M9IE&F57@F5M9IE&F57@F5M9IE&F57@F5M9IE&F57@F5M9IE-. 1K< "1K< 0/:69G 19H=*9H+*%< 4M6:7-K19H=*9H+*%< FC7/0/(19H+* K< 98?> K19H+* K<. IE@ I @ E I @ E I @ E I @ E I @ E. tnxwLN_n^ Y]Ufgj`pnxef^ `xY\n® . &F57@F5M9IE-. :7-%19H+* H+*+&.@FC4/(<. IE@. HJILN(^ Y]Ufgj`pnxef^ `xY\nJYc$`pILN nx^yILVZMNGwCNg b°CVZY\M® . &F57@F5M9IE-. IE@. +* <. 6./(1 9H. HJIfN{Y]nxwCNGn#efgjNw©VZU§`xILN-b°CVZY\M-b`xVW±b`pVZY\U§VZgt`pIfNnxN_Xdb`xVWY]U
(33) ®&µfY\n#[\nxNGbc`pNGnT^_XZb\npVW`riYco`xILN-b°CVZY\M-g_ £!NwCN <ULN(^ Y]Ufgr`xnpe<^ `pY]nxg bcUfw b]g!¤Y\XZXWY£gG¥ . FI0A 8?>98-984C7>.J.-K19H+*9H=*+&.@FC7/K1)( @ " @1 ' ,:- @ @ 0 < FI0A 8?>98-984C7>:0I19H+*9H=*+&.@FC7/K1)( @ " @1 ' ,, :7- @ @ 0 2-,3@ ( (0@ 0 0 FI0A 8?>98-984C7>.JFI19H+*9H=*+&.@FC7/K1)( @ " @1 ' ,,EJ.- @ @ 0 2-,3@ ( (0@ 0 0. U`xILNgpb\MN#£Jb i\C£!NwCN fUfN#`pILN#¤eLU<^ `pVZY\UMVZU>e<g_¥. FI0A 8?>98-984C7>4M$8?>069G 1 9H=*9H+*%1)( @ " @1 ' , 0/F:46 G @ , FC7/0/@ 0 0. HJILN(bc°CVWY]Mg!Y\$`xILN(^ Y]MM{eC`xbc`pVZ¨\NTfNGXZwbcnxNT`pILN#¤Y]XWXZY£ VWUf[f¥ monxY\vDN_np`pVZNGgJYc b\wfwCV`xVWY]Uh®. < <. <. 0/:46 GFG M*1+, @ " @1 0 ,,E/:46G @ @ 0 ( (6,0/:469G @@ 0 0 < 9 84CM0/:46 G05G.G4C; 1+, @ " @ " @ 1 0 , ,0/:469G ,0/:469G @ @ 0 @ 0 ( (6,0/:469GQ@ ,E/:469G @@ 00 0 < 9 84CM0/:46 GFC7/0/!7 @K1+,3@%1 0 , ,E/:469G @ ,FC7/0/ @ 0 0 ( ( 0 < 9 84CM0/:46 G4 >I1=, @K1 0 ,, ,7/:6 G @" 0 ( (0@ 0 2 , ,0/:469G#@ 0 ( (0@ 0 0 9. 84CM. monxY\vDN_np`pVZNGgJYcM&efX`xVWvLXZVd^_b`xVWY]Uh® \]\6^`_)acbdb. <.
(34) }. ! X(. 4M6:4- FG M*1+, @ " @1 0 ,,M6:- @ @ 0 ( (6,4M6:7- @@ 0 0 < 9 84CM4M6:4- 05G.G4C; 1+, @ " @ " @ 1 0 , ,4MF6:7- ,4MF6:7-@ @ 0 @ 0 ( (6,4MF6:7- @ ,M6:7-@@ 00 0 < 9 84CM98?> . : 1+, @%1 0 , ,3@ ( ( 00 H+*-, ,MF6:7- ,98> @ 0 @ 0 ( ( 0 < 9 84CM4M6:4- 4 >I1=, @K1 0 ,, ,M6:4- @" 0 ( (0@ 0 2 , ,4MF6:7- @ 0 ( (0@ 0 0 9 84CM 4 >FI0D 1+, (( 0 < 9. 84CM. <. HJILN(wCVdgr`xnpVZkLeC`xVW¨:VW`ri\®. 4M6:4- 0/:69G 8EG-.@K1 , @ " @ " @ 1 0 , ,4MF6:7-@ ,0/:69G @@ 0 0 ((6,0/:69G ,4M6:7-@ @ 0 , 4M6:7-@ @ 0 0 0. 9. 84CM. HJIfNTY]nxwLN_nb°CVZY\M-gG¥ H³Y\`xb\XY\nywCN_n VZUm npY]vh® . +, @ " @. . . :EI 1+, @ " @ 1 0 ,+G?64MC.C0: , :0I@ @ 0 ,:0I @ @ 0 0. 84CM. -FCE-F5.: 0CE@ .IE@K1. 9. 84CM. -FCE-F5.: 0CE@ .IE@. H³Y\`xb\XY\nywCN_n VZUHi:v<N]® Y£!N_n®. 0 ,,:- @ @ 0 2-,3@ ( (0@ 0 2-, .J0- @ Q@ 00. . 9. 1. <. <. <. !. :7- E57> -980G M1+, @ " @ 1 0 ,:7- @Q@ 0 H+* , :7-@@ 0 9 84CM:7- 4-.@F57>9GT1+, @ " @ " @1 0 ,:7- @ @ 0 H+*-,:4-@ @ 0 H+* ,:7- @ @ 0 < 9. 84CM. <. sY\Mvfbc`pVZkLVWXZVW`riYcb\wLwLV`xVWY]Ub\UfwM&eLXW`pVZvLXZVZ^Gb`pVZY\U³®. :7- ;7CM/57-98 N87:F8?- 1 , @ " @ " @1 0 ,:- @ @ 0 H+* ,:7- ,E/:469G @@ 0 ,0/:469G @@ 0 0 < 9 84CM:7- M9C7>CE- C7> 1+,3@ " @ " @ 1 0 , :4- @ 0 H=*-,:7- @ @ 0 H+* ,:7- ,M6:7-@@ 0 ,4MF6:7-@@ 0 0 < 9. 84CM. HJIfN nx^yIfVWMNGwLNGg b°CVZY\M® N kDN_[\VZUk>iwCN <ULVWUf[{`xILNVZUqrNG^ `pVZY\Ufg Y\ I ZV UOJ¢b\UfwY\NMVZUKJ ® . UWV X \ UZY.
(35) hC. .
(36) !"# "$&%'()+*,-". >(1B>5E- '%1K1)( ,. 9. 98 0/C8?> -. 5G7I G. >. C0A. (* 2 , 0 ( * 2 , > 0 (* , 0/:69G , > 0 I4> 0 < . FI0A 8?>98-984C7> K1 H+*K1%( 1 '6, 5 G7IG. . . C0A. (*. 0. . 2 ,:& > 0 ( * , , ;7C7> FI7@.-> 0 0 2 ,
(37) > 0 ( * , FC7/0/ , ,+;7C4> FIE@.- > 0 0 0 I4> 0 <. HJIfN§¨bcnxVZb\kLXZN ]U npNGvLnxNGgpN_U>`xg´`pILNVWU>`pNG[\NGnVZMMNwCVZbc`pNGXWi bckDY¨\N`xILNnpNbcXaU:eLM{k<NGnn® teLn ¤Y]npM{eLXdb`pVZY\UYc ny^yILVZMNGwCVdbcUb°CVZY\M Vdggj`pnxY\UL[]N_n!`pIfb\U`pILNY]ULNefgpefbcXZXWigr`yb`pNw ²`pIfNN °CVZgj`pNGUf^ NY\ b\U-VWU>`xN_[\NGn bckDY¨\Nb\U:i&nxNGbcX kLeL`VW` VZg NGl>eLVZ¨bcXZN_U>`G:gjVZUf^_NabcU:i&Y]nxwLN_nxNGwbcUfwMVZULY\nxNGw-gpN `YcVWU>`xN_[\NGnxg I<b\g bXWNb\gj` N_XZN_MN_U>`G® . . QO. ZP. 9984CM. +, @%1 0 , EJ.- , ,360/@ 0 0 @ 0 2 , :0I , 4M$8>.69G , , 6./@ 0 0 @ 0. 57@ ;,N8M I %1. HJIfN#^_Y\MvLXZN `xN_ULNgpg bc°:VZY\M®. 0 <. FI0A 8?>98-984C7> 80G460/./IE@ C76.>1)( 19H *+&0@FC4/ ' M1 ' ,89K1 0 , 9 0 H+*-,:EI 9M 0 FI0A 8?>98-984C7> C76.> %1)( %19H+*+&0@FC4/'-, 9 M1 '6,+80G46./0/IE@ =FC46.> M 0 0 < FI0A 8?>98-984C7> 80G. :6 (1)( K19H+*=&.@ C7/ ' M 1 ' ,80G 6././IE@= C76.> M 0 2 ,8(1 0 ,80G 6././I4@ C460> / 0 H+*-,:7- M 0 < 9984CM ;4CM/:0I7-K1+, K19H+*+&.@.C7/ 0 , ,)C6.> 0 H=*-, 9 M1 ' ,80G. :6 M 0 0 0 < <. µfnpY]M `pIfVZgbc°CVWY]Mbc`pVZ±Gbc`pVZY\Uh:£!NTI<b ¨\NTvLnpY¨]NGwgjY]MN#NGXWNGMNGU>`xbcnxi´vLnxY\vDN_np`pVZNGgG® . -&
(38) !#" $" %'&($)+*!,). I0D. /%1+, @ " @1 0 , @( (E@ 0 2 ,@ ((0@ 0 < - IM.M95 >FCE- FIED%1+, @ " @ 1 0 ,1, @ ( (0@ 0 0 H+* ,, :7- @ @ 0 2-,.J.- @ @ 0 0 < - IM.M95 8=M/!4 >C7- FI0D1+, @ " @ 1 0 , , :7- @ @ 0 2-,.J.- @ @ 0 0 H=*-, , @ ( (0@ 00 - IM.M95. \]\6^`_)acbdb. <.
(39) . ! X(. . !. % * * "$. E/:469G FC7/./!0: 1+, @K1 0 , ,E/:69G ,FC7/0/@ 0 @ 0 ( ( 0 < - IM.M95E/:469G FC7/./(1=,:9 "8 1 0 , ,E/:69G9 ;0 ( ( 0 H+*-, ( (6,FC4/0/
(40) 9 0 0 < - IM.M95E/:469G /:469G4 @K1+, @ " @ " @ 1 0 , @ ((0@ 0 H *-,,E/:46G @@ 0 ((6,0/:69G @@ 0 0 < - IM.M95 @0/:46 G4 /:46 G 1+, @ " @ " @ 1 0 , , 0/:46 G @@ 0 ( (6,0/:469GQ@@ 00 H+*-, @ ( (0@ 0 < - IM.M95E/:469G >I 8T1=, @ " (1 0 , ,E/:69G @ 0 ( (0@ 0 H+*-,8(( 0 < - IM.M95. . ! !& "
(41) &
(42) % " $. 8?> 7@%1+, @K1 0 , , @( ( 00 H *-, , 4MF6:4- @ ,98> @ 0 0 (( 0 < - IM.M95M6:7- @K1+, @%1 0 , , 4M6F:7- @ 0 ( ( 0 < - IM.M95M6:7- : 1+, @%1 0 , , 4M6F:7- @ 0 ( ( 0 < - IM.M95M6:7- M6:7- 4 @K1+, @ " @ " @ 1 0 , @ ((0@ 0 H *-,,MF6:- @@ 0 ((6,4M6:7- @@ 0 0 < - IM.M95 @4M6:4- ? M6:4-K1+, @ " @ " @ 1 0 , , 4MF6:4- @@ 0 ( (6,4MF6:7- @@ 00 H+* , , @ ( ( 0 0 H+* , @ ( (0@ 0 < - IM.M95 98-0,C76.- 8 %1+, @ " @ 1 0 ,M6:7- @ @ 0 ( ( H=*@ ( ( 2@(( < - IM.M95 98-0,C76.- 8 8" 1 , @ " @ 1 0 @ ( ( H+* ,4M6:4-@ @ 0 ( ( < - IM.M95 98-0,C76.- 8 8 1 , @ " @ 1 0 @ ( ( H+* ,4M6:4-@ @ 0 ( ( < - IM.M95 98-0,C76.- 8 8T1+, @ " @ 1 0 ,3@ ( ( 0 2-,3@ ( ( 0 H+* ,4M6:7-@ @ 0 ( (< - IM.M95 98-0,C76.- 8 F ;7C> -.@1+,3@ " @ 1 0 ,4M6:4-@ @ 0 ( (H+* @ (( 2 @ (( < FI0A 8?>98-984C7> G4D0@%19H+*%1)( @K1 ' ,M6:- @@ 0 < - IM.M95G4D0@ 1+, , GD0@ 0 ( ( 0 < - IM.M95G4D0@ 7 @1+,3@K1 0 , G4D7@ @ 0 ( ( H+*7@ ( (< - IM.M95. . UWV X \ UZY.
(43) hC. ].
(44) !"# "$&%'()+*,-" . !. $. . $ " #% ! *. " . !" )+%. " $. C7/./! C7/./(1+,3@K1 0 , ,FC/./ ,FC7/./ @ 0 0 ( (0@ 0 < - IM.M95 C7/./! 1+, ,FC4/./ 0 ( ( 0 < - IM.M95 C7/./! 80G-.@X 1+, @ " @1 0 , , C7/./ ,0/:469G @ @ 0 0 ( (6,0/:469G ,FC7/./ @ 0 ,FC7/./@ 00 0 < - IM.M95 C7/./! 80G-.@ 1+, @ " @ 1 0 , , FC7/E/ ,4M$8?>.6 G @ @ 0 0 ( ( ,4M$8?>069G @@ 0 0 < - IM.M95IED4M$8>.69G 1+,3@ " @ 1 0 , @ ( (0@ 0 H=*-,,4MX8?>069G @ @ 0 ( ( 0 < - IM.M95M$8?>.69G0 I0D%1+,3@ " @ 1 0 ,M$8+>.69G @ @ 0 (( H+*@ ((0@ < - IM.M95IEDFC7/0/(1+, @ " @ 1 0 , @ ((0@ 0 H *-,, C4/./ @ 0 ( (6,FC4/./@ 0 0 < - IM.M95IEDFC7/0/ 1+, @%1 0 , @( ( 0 H+* , ,.C7/0/ @ 0 ( ( 0 < - IM.M95 M"8?>.69G 1+, @%1 0 ,M$8?>E69G @ 0 ( (0@K< - IM.M95 C7/./!? MF6: " 1+,3@ " @ 1 0 ,M6F:7- ,FC7/0/@ 0 @ 0 ( ( ,FC7/./ ,4M6:7-@ @ 0 0 < - IM.M95 C7/./!? MF6: 1+,3@ " @ 1 0 ,M6F:7- ,FC7/0/@ 0 ,FC7/./ @ 0 0 ( ( ,4M6:4- @ @ 0 < - IM.M95 8?> M6:7-K1=, @ " @ 1 0 , @ ( ( 0 H=* ,?@ ( ( 0 H+* , 8?> ,4MF6:7-@ @ 0 0 ( (6,4MF6:7- ,98?> @ 0 ,98?> @ 00 < - IM.M95 8?> M6:7- G 8M/: 1+, 5 " " ;$1 0 ,45(( 0 H=* ,4M6:7- ,4M6:7-5 ,98> < 0 0 ,M6:7- ; ,98> 5 0 0 0 ( ( ,4M6:7- ; ,98> < 0 0 < - IM.M95. . ! &
(45) . " %. . ). & % " $. . F:7- 057>.-98@FI0A : 1+, @K1 0 1,F:7- @@ 0 < - IM.M95 >FCE- :EI1+, @ " @1 0 , :EIQ@ @ 0 H=*-,.J.- @ @ 0 < - IM.M95F:0I4 >C7-K1+, @ " @ 1 0 , :7- @ @ 0 H+* ,:0I @ @ 0 < - IM.M95F:0I. :0I0 I0D%1+,3@ " @ 1 0 ,F:0IQ@ @ 0 2 ,:EI @@ 0 - IM.M95F:7- . :0I 1+, @ " @ 1 0 ,:- @ @ 0 H+*-,F:0I @ @ 0 < - IM.M95. . \]\6^`_)acbdb. +*-, @ ( (0@ 0 H. <.
(46) O :0I 1+, @ " @1 0 , @( (E@ 0 H+* ,F:0IQ@ @ 0 < - IM.M95F:0I7-.@ 57>9G 1+,3@ " @ " @ 1 0 ,F:0I@ @ 0 H+*-,:0I @ @ 0 H+*-,F:0I @ @ 0 < - IM.M95F:0I. :7-7 -.@F57> G 1+, @ " @ " @1 0 ,F:0I@ @ 0 H+*-,:7- @ @ 0 H+*-,F:7-@ @ 0 < - IM.M95F:7- . :0I7 -.@F57> G 1+, @ " @ " @1 0 ,F:7- @ @ 0 H+*-,:0I @ @ 0 H+*-,F:7-@ @ 0 < - IM.M95F:7- 0 57>.-98F ;7C?M/5E-98N87: 8- 1 " , @ @ " @ 1 0 ,:4- ,0/:469G @@ 0 ,0/:469G @@ 0 0 H=*-,:7- @ @ 0 < - IM.M95F:0IF ;7C?M/5E-98 N87:8- 1+, @ " @ " @ 1 0 ,F:0IQ@ @ 0 H=* ,:0I ,0/:69G @@ 0 ,0/:469G @@ 00 < - IM.M95F:0I0 57>.-98F ;7C?M/5E-98N87: 8- 1 ,3@ " @ " @ 1 0 ,:0I ,0/:469G @@ 0 ,0/:69G @@ 0 0 H+* ,:0I @ @ 0 < - IM.M950J.- FC4/./(1+, @ " @ 1 0 ,.J0-@ @ 0 H+*-,F:7- ,FC4/./ @ 0 ,FC4/./@ 0 0 < - IM.M95F:7- FC4/./(1+, @ " @ 1 0 ,:4-@ @ 0 H+*-,0J.- ,FC4/./ @ 0 ,FC4/./@ 0 0 < - IM.M95F:7- 0 57>.-98? M9C4>CE-FC7> 1+, @ " @ " @ 1 0 ,F:7- @" 0 H+* ,:7-@ @ 0 H+* ,.J.- ,4M6:7-@@ 0 ,4M6:7-@@ 00 < - IM.M95F:7- ? M$8>.69G 1+,3@ " @ 1 0 ,F:7- @ @ 0 H+*-,:4- ,4M$8>.69G @ @ 0 0 < - IM.M95F:0I? M$8>.69G 1+,3@ " @ 1 0 ,F:0IQ@ @ 0 H+*-,:EI ,4M$8>.69G @ @ 0 0 < - IM.M95M$8?>.69G. :7-K1+,3@ " @ 1 0 ,F:7- ,M$8?>.69G @ @ 0 0 H+*-,:7- @ @ 0 < - IM.M95M$8?>.69G. :0I1+,3@ " @ 1 0 ,F:0I ,M$8?>.69G @ @ 0 0 H+*-,:0I @ @ 0 < - IM.M95G?67M 8?>FI0DE65 :0I. :-K1+, 5 " 9 " " ; "8 " 1 0 ,F:0I 5<9 0 H+* ,:7-79 0 H+* ,:7- ; 0 H+* ,:0I 0 H=* ,:4- ,0/:469G 5 ; 0 ,0/:69G 9 ;0 0 2 ,:7- ,E/:469G 9 0 ,0/:46 G. ! X(. - IM.M95IED. 00 <. UWV X \ UZY.
(47) hC.
(48) !"# "$&%'()+*,-". E/:469G0:7-K1+, @ " @ " @ " @%1 0 , :7- @ @ 0 H+*-,:7- @ @ 0 H+* ,:4- ,0/:469G @ @ 0 ,0/:469G @ @ 0 0 < - IM.M95M6:7- 0 :7-K1+, @ " @ " @ " @%1 0 ,EJ.- @ 0 H+*-,.J.- @ 0 H+* ,F:7- @ @ 0 H+*-,:7- @ @ 0 H+*-,F:7- ,4MF6:7-@ @ 0 ,4MF6:7-@@ 0 0 < - IM.M95 8>9G7IE@ 4 -.@F57>9GK1+,3> " M " / " D%1 0 , :EIQ>M 0 2 ,F:7- M / 0 H+* ,G67MC0C : , ,:0I > M 0 2 ,F:7- M D 0 0 , ,:EI D M 0 2 ,:7- M / 00 0 < - IM.M95 - I;,!E/:469G 1=, @ " G 1 0 , :EI @ 0 H+* ,:7- G 0 H+* ,E/:469G @ G 0 ( ( < - IM.M95 /FCG GD0@K1+, @%1 0 , :0I , G4D0@@ 0 0 < - IM.M95 /FCG GD0@" 1+,3@K1 0 , , @( ( 0 0 H *-,:4- , G4D0@ @ 0 0 < - IM.M95F:7- "1+,:7- 0 < - IM.M95F:7- 98> K1+, @%1 0 , :7- @ 0 H+*-,:7- ,98> @ 0 0 < - IM.M95. . ! ) ,% " ,). " !%. . ). & % " $. 0JFI7JFI0I0D%1+,3@ " @ 1 0 ,0JFIQ@ @ 0 H+*-,.J I @@ 0 H=*7@ ( (E@< - IM.M95F:7- 4>C7- 7JFI1=, @ " @1 0 , :7- @ @ 0 H+* ,.JFI @ @ 0 < - IM.M950J.- 4 >C7- . :0I1=, @ " @ 1 0 ,EJ.- @ @ 0 H+* ,:0I @ @ 0 < - IM.M950J.- 7 JFI 1+, @ " @ 1 0 ,.JE- @ @ 0 H+*-,0JFI @ @ 0 < - IM.M95F:7- F G M1+, @ " @ 1 0 , , ,:7-@ @ 0 H=*-,.J.- @ @ 0 0 2 , ,.J.- @ @ 0 H=*-,:7- @ @ 0 0 0 < - IM.M95F:0IF G M " 1+, @ " @ 1 0 , :EIQ@ @ 0 H=*-,.JFI @ @ 0 < - IM.M95F:0IF G M 1+, @ " @ 1 0 , .J IQ@ @ 0 H=*-,:0I @ @ 0 < - IM.M95F:0IF G M1+, @ " @ 1 0 , , ,:0I @ @ 0 H=*-,.JFI @ @ 0 0 2 , ,.JFI @ @ 0 H=*-,:0I @ @ 0 0 0 < - IM.M950JFI7 J.-7 -.@F57> G 1+, @ " @ " @1 0 ,.J I@ @ 0 H+*-,0J.-@ @ 0 H+*-,.J0-@ @ 0 < - IM.M950J.- 7 JFI7 -.@F57> G 1+, @ " @ " @1 0 - IM.M95. \]\6^`_)acbdb. |.
(49) G~. ! X(. ,.J0-@. 0 H+*-,0JFI @@ 0 H+*-,.J0-@ @ 0 < - IM.M950J.- 7 -.@ 57>9G 1+,3@ " @ " @ 1 0 ,.J0-@ @ 0 H+*-,0J.-@@ 0 H+*-,.J0-@ @ 0 < - IM.M950JFI7 -.@ 57>9G 1+,3@ " @ " @ 1 0 ,.J I@ @ 0 H+*-,0JFI @ @ 0 H+*-,.J I @ @ 0 < - IM.M95IED.JFI 1+, @ " @ 1 0 , @ ( (E@ 0 H+* ,0JFIQ@ @ 0 < - IM.M95F:0IFC4/./(1+, @ " @ 1 0 0 ,:EI@ @ H+*-,0JFI ,FC4/./ @ 0 ,FC4/./@ 0 0 < - IM.M950J.- FC4/./ 1+,3@K1 0 , .J.- @" 0 H+* ,:7- ,FC7/./ @ 0 0 < - IM.M95F:7- FC4/./ 1+,3@K1 0 , :7- @" 0 H+* ,.J.- ,FC7/./ @ 0 0 < - IM.M95F:7- 7 @ /:469G "1+, @1 0 ,F:0I @ 0 H=*-,:7- ,0/:469G @" 00 < - IM.M95 - I;,!0J.- ? M$8>.69G 1+, @ " @ 1 0 , :7- @ 0 H+*-,.J.- @ ,M$8?>.69G @ @ 0 0 - IM.M950J.- 4 /:69G4 /:69G7 @K1 , @ " @ " @ 1 0 ,.J0- @ @ 0 H+* ,.J.- ,0/:69G @@ 0 ,0/:469G @@ 00 < - IM.M950J.- 7 @ /:469G /:469G 1 , @ " @ " @ 1 0 ,.J0- ,0/:469G @@ 0 ,E/:469G @@ 0 0 H+* ,0J.- @ @ 0 < - IM.M950JFI4 /:69G4 /:69G7 @K1 , @ " @ " @ 1 0 ,.J I @ @ 0 H+* ,.JFI ,0/:69G @@ 0 ,0/:469G @@ 00 < - IM.M950JFI7 @ /:469G /:469G 1 , @ " @ " @ 1 0 ,.J I ,0/:469G @@ 0 ,E/:469G @@ 0 0 H+* ,0JFI@ @ 0 < - IM.M950J.- ? M$8>.69G 1+,3@ " @ 1 0 ,0J.- @ @ 0 H+*-,.J0- ,4M$8>.69G @ @ 0 0 < - IM.M950JFI? M$8>.69G 1+,3@ " @ 1 0 ,0JFIQ@ @ 0 H+*-,.J I ,4M$8>.69G @ @ 0 0 < - IM.M95 M"8?>.69G .JFI1+,3@ " @ 1 0 ,0JFI ,M$8?>.69G @ @ 0 0 H+*-,.JFI @ @ 0 < - IM.M95M6:7- 4 J.-K1+, @ " @ 1 0 , .J0- @ 0 H=*-,.J.- @ 0 H+* ,.J.- ,4MF6:7- @Q @ 0 0 < @. <. UWV X \ UZY.
(50) hC. LD.
(51) !"# "$&%'()+*,-". E/:469GEI0D. - IM.M95. E/:469G G@. - IM.M95. . !
(52) . +, 5 " %1 0 , F:0I 5 , 5( ( 0 2 0IED1 , 5 " ( 1 0 , 0/F:46 , 5( ( 0 2 1. " $. $. 0 H=*-,:0I < 0 H+*-,E/:469G 5< 0 ( ( H=* ,8( ( 0 < G , G4DE@5 0 , G4D0@7 00 ( ( H+* ,8( ( 0 <.
(53) . K1=,3>(1B>57- 0 , , > 0 0 ( (6,0/:469G , > 0 0 < IM.M95 4/:69G K1+,3>(1L>5E- 0 , 3, /:469G , 0 > 0 0 ( ( ,0/:46 G , , 0 0 ,> 0 0 < IM.M95 /:469G K1+3, > " M1B>54- 0 ,C ,3/:69G >M 00 ( (6,E/:469G , > 0 , IM.M95 M"8?>.69G K1+, > " M1B> 5E- 0 =, :EI M > 0 H+* , B, M$8>.69G > M 0 0 ( (6, 4M$8?>.6 G , > 0 , M 0 0 < IM.M95 .:0I 1+3, >(1B>F5E- 0 , :0I , > 0 0 < IM.M95 >FCE- 1+, >(1B>5E- 0 ,C > 0 (( H+* >( < IM.M95 >FCE- K1+, >(1B>5E- 0 > ( H+* , > 0 ( ( <. - IM.M95 -. -. -. . !
(54) . " $. $
(55). M. 0 0.
(56) . <. FI0A 8?>98-984C7> 1%( 8?> .IF;- 4>57-K< - IM.M95 1+,3>(1B> 5E- 0 , > 0 ( (6, , > 00 < - IM.M95 /:469G K1+, 6" -K1 0 , , 7/:469G - 0 0 ((6,0/:69G , ;0 , - IM.M95 C7/./! C7/./! K1+, 1 0 , , +H 0 0 ( (6,FC4/./ , ;0 0 < - IM.M95 ? M$8>.69G 1+, " 1 0 ,M$8?>.69G , 0 , 0 0 ( ( , , M$8?>069G 0 0 < - IM.M95 :4- K1+, 1 0 , :7- , ;0 0 H+*-, :4-. 0 < - IM.M95 :4- %1+, " 1 0 ,:- , 0 , 0 0 H+* , . 0 < - IM.M95IED 1+, 1 0 ,C ;0 (( H+* ( F< . . . . . \]\6^`_)acbdb. . . . -. 0 0 <.
(57) PC. ! X(. %1+, " 1 0 , 0 ( (6, 0 H+* ( < - IM.M95 :EI "1+, 1 0 , :0I , 0 0 H+*-, :0I 0< - IM.M95G.8?> J:0I 7 @ "1+, @1 0 , 6" 91 0 ,F:7- @ , ;00 H+* ,:0I , ;0 ,0/:469G @" 00 H+*. 0 0 ,:7- @, /9 H=*-,:0I , /9 0 ,0/:69G @ 0 0 H+* (9K< - IM.M95 - I;,!F G.8?> J:0I 7 @ "1 , @%1 0 , 1 0 ,F:7- @ , ;0 0 H+* ,:0I , 0 ,0/:469G @ 0 0 H+* 0 0 , 9 G 1 ' ,.G=( 2 ,F:7- @ , G 2 ,F:0I , G 0 ,0/:469G @ 0 00 0 H+*. 5 :FG7I< - IM.M95IED. . . %{"$(J
(58) (³"
(59) (%)" .
(60) &o"$_(%
(61) @
(62) ³". . . . FI0A 8?>98-984C7>. . . "$. ?>. . $ " . +* 1%(. - /5E@.-K1 9H "$. $ " . " ,) !% ) ".
(63) . @K1 '6, , 6./ @ 0 ) %. . " $. H. . 0 <. %'& ! % ) ". FI0A 8?>98-984C7>A0@F5;4/5E@.-%19H+*%1)( @1 '-,M$8>069G. @. , , ?>.-. 4/5E@0-@ 0 0 0. <. ¦aY£\£!Nagj`xb`xNtgpY\MN N_XZN_MNGU]`ybcnxi{vfnpY]v<NGnj`xVWNg Y\U`xILN¤nyb\^ `pVZY\Ufb\XLvfbcnp`b\Ufw`pIfNVWU>`xN_[\NGn vfb\nj`®HJIfN_i £ VZXZX$kDN{e<gjNw`pYvLnpY¨]N`pIfN&vLnxY\vDN_np`pVZNGgtbckDY\eC`T`pILNgjefkC`pnyb\^ `pVZY\U§b\Ufw`pIfN{b\wfwCV`xVWY]U©Yc `r£!YVZU>`pNG[\N_n v<bcnp`xgJY\n!`r£!Y¤nxb]^ `pVZY\U<bcXvfbcnp`xgG® . . $. !. # &. +,. 0. . " % ) . 0 , 1 0. - IM.M95 - I ;, 460/(1 @K1 36./ @ <. ( ,. . ) $. ,) " . 0 0 = 0 ,0/:469G , :4- 3 @ , ; H *-,:0I , ;. " 0 0 H=* @. 60/!7 -FI;?,(1+, @K1 0 , 1 0 , :EI , 0 @ 0 H+*-,:4-@, 0 0 H+* ?(6, 6./@ 0 < - IM.M95A7/!1=, A0@F5;4/5E@.- 0 ( ( < - IM.M95A.CE@ = 5FG7IE AE/K1+, @K1 0 ,EJ.- ,4M$8?>069G , , 6./ @ 0 0 @ 0 0 2 ,F:0I ,4M$8?>069G , , 6./ @ 0 0 @ 0 0 < - IM.M95 F5G7IE A7/(1+, @K1 0 ,.J.I , A0@F5; /5E@.- @ 0 0 2 ,:7- , A0@F5;/5E@.-@ 0 0 - IM.M95 F5G7I > - 4 /57@.-K1+, @1 0 ,F:0I , , ?> - /5E@.-@ 0 0 @ 0 2 ,.J.- ,4M$8>.69G , ,?> - 4 /F5E@.- @ 0 0 @ 0 ,FC7/./" 00. - IM.M95 .
(64). . . . <. <. UWV X \ UZY.
(65) hC. G.
(66) !"# "$&%'()+*,-". ! +, 0 , A0@F5 ;4/ 5E@0- @ 0 (( H+* , 9 ; 1 '6,3@ ( (6, ; 0 0 0 - IM.M95EAE/! 1+, @K1 0 +( (6,3A0@ 5; 4/54@.- @ 0 H+* ( (0@%< - IM.M95A7/ 4>5E-%1 @K1. <. Ntb\npNavfbcnp`pVd^ eLXdbcnxi&VZU>`pNGnpNgr`xNGwVZU-¤Y\eLn!vLnxY\vDN_np`pVZNGgG¥h`xILY]gpNa^ Y]Uf^ NGnpUfVWUL[(`pILNTb\wLwCVW`pVZY\UbcUfw`xILNtgpeLk `xnxb]^ `xVWY]U(YcL`r£!Y¤nyb\^ `pVZY\Ufb\X\vfb\nj`yg_®H³YTvLnxY¨\N `xILN_Mc£!N e<gjN`pILN¤Y\efngpVWMVZXZb\n$vfnpY]v<NGnj`xVWNg$^_Y\Uf^_N_nxULVWUf[ `xILNVZU]`xN_[]N_nJvfbcnp`G® VW
(67) #`pILNG U VW
(68)
(69) #`pILNG U VW
(70) #`pIfN_ U VW
(71)
(72) #`pIfN_ U . !. " ) %. . . " $ . $. .
(73) . " ,) !% ) ". . M$8?>.69G?> - /5E@.-N1+, @ " @ 1 0 ,0JFI , AE@F5;4/F5E@.- @ 0 , A0@F5;/5E@.- @ 0 0 H=* - 4 /57@.- ,4M"8?>.69G @ @ 0 0 (6, ?M$8?>.69G , ?> -4/5E@.- @ 0 , ?> -4/5E@.- @ 0 0 < - IM.M95M$8?>.69G ?> - /5E@.- 1+, @ " @ 1 0 ,F:7- , AE@F5;4/F5E@.- @ 0 , A0@F5;/5E@.- @ 0 0 H=* , > - 4 /57@.- ,4M"8?>.69G @ @ 0 0 ( , ? M$8?>.69G , M$8?>.6 G , ?> -4 /5E@.- @ 0 , ?> -4 /5E@.- @ 0 0 0 < - IM.M95. , >. . . !. . . " ) %. " $ . $. )+% " $. M$8?>.69GEAE/ "1=, @ " @1 0 ,.J.I , AE@F5;4/F5E@.- ,4M$8?>.6 G @ @ 0 0 ( ( IM.M95M$8?>.69GEAE/ 1=, @ " @1 0 ,:, AE@F5;4/F5E@.- , 4M$8?>.6 G @ @ 0 0 ( ( , E/:469G , M$8?>.69G , A0@F5;/5E@.- @. -. - IM.M95. . !. % * * "$. $. . . %'& ! % ) ". . . , A0@F5;/5E@.- @ 0 , A0@F5F;4/5E@0-@ 0 0 H+* ,4M$8?>069G , A0@F5;/5E@.- @ 0 , A0@F5F;4/5E@0-@ 0 0 , A0@F5;/5E@.- @ 0 , A0@F5F;4/5E@0-@ 0 0 H+* 0 , A0@F5F;4/5E@0-@ 0 0 0 <. " ,). % ) ". . > - 4/57@.-"1+, @ " @ 1 0 ,.JFI ,0/:469G , A0@ 5;4/57@.-@ 0 , AE@F5;4/F5E@.- @ 0 0 0 H=* , > - 4/57@.- ,0/:469G @Q @ 00 ( , 4/:469G , 4 /:469G , > - 4 /57@.-@ 0 , > - 4 /57@.-@ 00 0 < - IM.M95 /:469G > - 4 /57@.- 1+, @ " @ 1 0 ,:7- ,0/:469G , A0@ 5;4 /57@.-@ 0 , AE@F5;4 /F5E@.- @ 0 0 0 H=* , > - 4 /57@.- ,0/:469G @Q @ 00 (6, 7 /:469G ,?> - 4 /F5E@.-@ 0 ,?> - 4 /F5E@.-@ 0 0 - IM.M95. /:469G. . \]\6^`_)acbdb. . <. <.
(74) }. ! X(. . !. . $. . . ) %. " $ !%'&. % ) ". . , " 0 0 , 00 0 H+* , , 0 0 ( ( , , , @ 0 , A0@F5F;4/5E@0-@ 0 0 0 < - IM.M95 /:469GEAE@F5;4/F5E@.- 1 , @ " @ 1 0 ,F:7- ,0/:46 G , A0@F5;4 /5E@.- @ 0 , A0@ 5;4/57@.-@ 00 0 H+* , A0@F5;4/5E@.- ,0/:69G @ @ 0 0 ((6,0/:69G , A0@F5;/5E@.-@ 0 , A0@F5;4/5E@.- @ 0 0 < - IM.M95. . % * * "$. /:469G EAE@F5; 4/F5E@.- "1 @ @ 1 G A0@F 5 ; 4/5E@.- @ A0@ 5; 4/57@.-@ AE@F5; 4/F5E@.0/:469G @ @ M$8?>.69G 0/:469G A0@F5; /5E@.-. ,0JFI ,0/:46. ,. . UWV X \ UZY.
(75) hC. .
(76) !"# "$&%'()+*,-". . 4. 2. . 4. 4. 2. . 4 /&54. . "$
(77) #"$ %{" (."$ "$ ( UY]nxwCNGnJ`pY-eLU<wCN_nygr`ybcUfwMY\nxNl>eLVZ^y¯:XZi´`xILN(ULY\`xb`xVWY]Ufg bcU<wnxNGl>eLVZnxN_MN_U>`xgGCY\efnnpN_¤N_nxN_Uf^_N#£ VWXZXhkDN\ ¤nxY\M ULY£6Y]U>£JbcnywLgG\<[\eLnxN(OC®Z\® HJILNtVWU<wCVZgpvDN_UfgxbckLXZN<nxgj`!wCN_fULVW`pVZY\Ufg ¤Y\n `pILN#gpv<N^ VW<^_bc`pVZY\U-Yc`xILN`xILN_Y]npNGM bcnxN\¥h`xILN#wCN fUfV`xVWY]U Y\ H G `pILNtfnygr`!v<Y]VWU>``pY(`xILNanxVZ[\I>`Y\h±_N_nxY(Y]U-`pILNT^ VZnx^_XWN x f_ $`xILNfnygj`vDY\VZU]`!`pY&`pILNtXWN_²`!Y\ ±GN_nxYY\U`pIfN&^ VZnx^_XWN y<b\Ufw 8 · o`pIfN{gpef^_^_NGgxgjY]n!Y\obv<Y]VWU>`G® gabcXZnxNGb\wLigpb\VZwhf¦VdgJ`pIfN(U:eLM&kDN_n Y\$vDY\VZU>`xg Y]U`xILN(^ VZnx^_XWN]® N `efg$gj`xb\nj`£ V`xI`pIfN!b\UL[\XZNª®$HJILN!eLULVW`riT¤Y\nbcUL[]XWN VZgk:i#npNG¨\Y\XZeC`xVWY]Ufg_G`pIfN_nxN ¤Y\nxN ªVdg³kDN `r£!N_NGU b\Ufw§]fbcU<wVW`a^_b\ULULYc` kDN(L® > . . . !. . =. . F5E@9845 :0I5 : /.,51 %< /CE-E,IG 80G / @FC7/ 05 4 : /.,F51. . +, ,F:7-. 5.:4/.,5 0 2 , :4-5 :/.,5 0 0. <. HJILN ¤eLUf^ `pVZY\U UC 8L 9 U @ b]gpgpYC^ Vdb`pNg£ VW`pI&NG¨\NGnpitVWU>`pNG[\NGn
(78) `pIfNwCVdgr`ybcUf^_N kDN `r£!N_NGU `xILN#fnygr` vDY\VZU>`Y\U`pILN(^_VWny^ XZN o£ npVW`j`xN_U b\Ufw´`xILN
(79) vDY\VZU>`G® FI0A 8?>98-984C7>A0@F5;4/5E@.-4>!05 :/.,F51L>5E-H+* K1%( , AE@F5;4 /F5E@.- ,4M6:7- ,> 0 5 :4/.,5 0 0 <. >%1B>F5E- '. HJILN(¤eLUf^ `xVWY]U©» ¼$ · » wCN_fULNGgtbULN_£,Y]nxwCNGnJ¤Y\na`pILN(vDY\VZU>`xg Y\`pILN&^_VWny^ XZN(b\^G^ Y]nxwCVZUL[`pY `xILN_VZnwCVdgr`ybcUf^_N#`pY-L® FI0A 8?>98-984C7>CE@ 0@ I7-FCE- 5 : 1)( > " M1L>5E-'6,,F:4- 5 :4/.,5 0 2 ,F:7-5.:4/.,5 00 H+* ,F:0I , A0@F5;4 /5E@.-4 >!0 5 :/.,5 > 0 , A0@ 5;4/57@.- 4>!E5 :4/., 5 M 0 0 <. HJILN#¤Y]XWXZY£ VZUL[{XZN_MM-b\gabcXZXWY£g!efg!`xY´wCN fUfNH _ b\Ufw LG ¥ £N#<nxgj` vLnpY¨]Na`xIfb`agpef^yIv<Y]VWU>`ygJN °CVZgj`. \]\6^`_)acbdb.
(80) O\. ! X(. 14. last(N) 0 7. first(N) 15 8 1. 6 α. 13. 16 9 2 5 12. 10 3 4. 11. N=17,. α=0.139. µVW[]eLnpN(OL®W]¥HJIfNt`xILnxN_N[]b\v´`xILN_Y]npNGM. UWV X \ UZY.
(81) hC. OL.
(82) !"# "$&%'()+*,-". -. -. . 0 ( (6, 0 , J I, , 0 00 < I?M.M95-FI;, 7-FCE-F5.:0CE@ .I7@K1+, >(1 >F57- 0 , CE@ E@ I7-.CE- 5.: >> 0 < I?M.M95 I 9980G- EA 8@G-K1+,%1 >5E- 0 3, J I , , 0 0 0 H=* , G 8J >57- >K1B>5E- ' , ,=:7- > 0 2 ,=:7- > 0 2 , M1B>5E- 0 =, :7- M 0 2 ,=:7- M 0 H=*-, CE@ E @FI7-FC7-F5 : >M 00 0 < I?M.M95 I 9 80G- .:E5G-K1+, K1B>5E- 0 3, J I , , 0 0 0 H=* , G 8J >57- >K1B>5E- ' , =, :7- > 0 2 , :7-># 0 , M1B>5E- 0 =, :7- M 0 2 =, :7- M 0 H+* , CE@ 0 @ I7-FCE- 5 : M > 0 00 <. - I?M.M95. +,. F;E:E5G.G 80;T1 K1B>F57- . 2. . `pILNGU£NUfb\MNt`xILNY\kLqrNG^ `. FIEA 8?>N8- 84C7> A 8?@ G-K1)( K1B>57- '6,.5FG7IG ,F;E:05G0G 80; 0 C0A ,8?> @ 8J0, -/ 0 (*-, >F5E-* 5FG7IG , I 998EG- EA 8?@ G- / 0 C0A 2 (* . 0 < FIEA 8?>N8- 84C7>:05FG-K1)( K1B>5E- '6, .5FG4IG , ,8?> @ 8J0, -/ 0 ( * , >5E-* 5G7IFG , I+9980G2 ( * I7> 0 <. , I 998EG- 7 5 0 (*05I4> 0. I7>. . ;E:05G.G.80; 0:05G - /. . 0. 0. C0A C A 0. , I 998EG- 7 5 0 (*05I4> 0. N(wCN <ULN#`pILN#¤efUf^ `xVWY]U · VZU`xILN(gxbcMN#£!b i]® +9. . . +,. 0 ,F:0I / 0 H=*-,:7-/ 0 H+*-,%1B>5E- 0 ,+G?67M9CE@ ,G 8J >57- T1B>5E- '6, ,=:7- 0 2 ,=:4,:7- / , A0@F5;4/5E@.-4>!05 :/0,57 0 0 2 ,BM1B>57- 0 ,=:0I M 0 H+*-,=:4- M 0 H+* ,.J.- , A0@ 5;4 /57@.- 4 >!E 5 :/.,F5 M 0 / 0 H+* ,.JFI , A0@ 5;4 /57@.- 4 >!E 5 :/.,F5 M 0 , A0@ 5;4 /57@.- 4 >!E 5 :/.,F5< 0 0 0 0 , , M1B>5E- 0 ,=:0I M 0 H+*-,=:7- M 0 H=* ,:0I , A0@F5F;4 /5E@0- 4 >!0 5.:/., 5 M 0 0 2 ,:0I , A0@ 5;4 /57@.- 4 >!E 5 :/.,F5 M 0 / 0 0 0 < , A0@F5; /5E@.- >!0 5 :/.,F5Q> 0 0 < , A0@F5;4 /5E@.-4 >!0 5 :/0,5 > 0 0 <. - IM.M95I 980G- E50A0-FIE@ ./K1 /1. .&"1+,3>(1 >5E- 0 , :0I .&1+,3>(1 >5E- 0 , :78?>98-984C7>50A0-FI7@K1)( " >(1B>57- '. - IM.M95 - IM.M95. FI0A. \]\6^`_)acbdb. 0 2. .
(83) O]O. ! X(. ,.5G7IG , I+9980G- E50A0-FIE@./ , A0@F5;/5E@., 8?>:0I0AE- / 0 (* , >5E-* 5G7IFG / + 2 (* I4> 0 < . > ?> . >!05 :/.,F5Q> 0 ,:&Q> 0 ,:&> 0 C0A. , I 9980G-. < 5 0 (*05 I7> 0. . 0. C0A. *,-(.¢(."$ "$ . " % . $. . " !. ) $$. . µVZnxgj`GD£!N&ULNGNGw`xYvLnxY¨\N(gpY\MN&gpVWMvLXZN&vfnpY]v<NGnj`xVWNgY\UH G bcU<w LG ®THJILN_ibcnxN(vLnxY¨\NwbcXZMY]gj` wLVWnxNG^ `pXZi-¤npY]M `pIfN_VZnawCN <ULV`xVWY]Uh® . 0 , JFI , , 0 0 0 H+*-,=:7- , A 8@ G- 0 0 < IM.M95 :E5G- .%1+,K1B>F5E- 0 , J.I , , 0 0 0 H+* ,=:7- , :05G- 0 0 < IM.M95 8> -FIE@X1+,K1B>F5E- 0 , J.I , , 0 0 0 H+* ,=:7- , M95 9 , A 8@G- 0 ,=:05G- 0 0 0 IM.M95A8@ G- "1+,K1B>5E- 0 =, :7I , A 8@ G- 0 0 < IM.M95 :E5G- ."1+,%1B>5E- 0 =, :0I ,=:05FG- 0 0 < IM.M95A8@ G- 1+,K1 >5E- 0 , JFI , , 0 0 0 H+*-,=:7- , A8@ G- 00 < IM.M95 :E5G- 1+, K1B>F5E- 0 , J.I , , 0 0 0 H+* ,=:7- ,=:05G- 0 0 < IM.M95A8@ G- >(1+, " >(1B>5E- 0 , J.I , , 0 0 0 H+* ,=:7- > 0 H+* ,=:7-> 0 H+* , , :4-"5.:4/.,5 0 2 , :4-5 :4/0,5 0 0 H+* , :0I , AE@F5;4/F5E@.- 4> 05 :4/E,5 , A 8@ G- 0 0 , A0@F5F;4/5E@0- 4>!05.:4/0,5 > 00 IM.M95 :E5G- 4>K1+, " >K1B>5E- 0 , JFI , , 0 00 H+*-=, :4- > 0 H+*-,=:4- ># 0 H+* , , :4-"5.:4/.,5 0 2 , :4-5 :4/0,5 0 0 H+* , :0I , AE@F5;4/F5E@.- 4> 05 :4/E,5 > 0 , A0@F5;/5E@.- >!05 :/.,F5 ,=:05G- 0 0 0 < 0 H=*-,=:7- 0 H+* IM.M95 - I;,!EA8@ G- 0:05G-K1 , " 1 >54- 0 , JFI , , 0 0 0 H=*-=, :7- 0 ;0 , CE@ 0 @FI7- CE-F5 : , A 8@ G- 2 , CE@ 0 @FI7- CE-F5 : =, :E5G- 0 0 < IM.M95 :EIEA 8@G- .:05FG-K1+, 1B>54- 0 , J.I , , 0 0 0 H+* , CE@ 0 @FI7-FCE-F5.: , A 8?@ G- 0 =, :05G- 0 0 < +,. - IM.M95A8@ G- K1 K1 >5E-. -. -. -. <. <. N^_bcUY\kfgpN_nx¨\N`pIfbc`GLgpY( bcn#:`xILNTgpvDNG^ VW<^Gb`pVZY\UVZgJb ¨bcVZXdbckLXZN¤Y]nJb\U:i¨b\XWeLNTYc$VWU>`pNG[\NGnJ¦ bcU<w ¤Y]n!b\U:i-npNbcXDU>efM&kDN_n ª ® aN_Uf^_N ¤Y]nj`xIh:£N#wCYULYc` wCNGb\X£ V`xI`xILNTwLN_[\NGULN_nyb`xNGw´^Gb\gpNGg!gje<^yIb\gJ¦ T . . UWV X \ UZY.
(84) hC. O\|.
(85) !"# "$&%'()+*,-". Y]n¦ {akDNG^_b\efgpN\>VWU-`xILNGgpN#^_b\gpNGgGc`xILN_nxNaVdgY\ULXZiY\ULNtXWNGUL[c`xI´Ych[>bcvh:bcUfw^_b\gpNGggje<^yIb\g!ª§nyb`xVWY]UfbcX ª k<N^_b\efgjN IfN_nxNJ`pILNGnpNb\npNJY\UfXWi{Y\ULN Y]n`r£YXZN_UL[\`pIfgoYc[]bcv³\wCN_vDN_U<wCVWUf[(Y\U£ ILN_`pILNGn ¦ Y]n ¦
(86) :®oHJILN_nxN ¤Y]npN]C£N#vLeC`¥ . O. . . 4P. I;-98C7>-0,I0CE@FIM9I < /CE-E,IG 80G 5 :4/.,F5 8@.@%1 3> K / 1 4M 6:4- 5 :4/.,F5 / /CE-E,IG 80G / @FC7/ 05 :4/.,F51 F:75.:4/.,5 2 :4-5 :/. , 5 /CE-E,IG 80G / @FC7/ .K1 %1B>5EJ I <. . +, " +, ,. +,. 0,. 0 1, . 3, , . , . ,. 0. 0 0 ( (6, . 0 0. 00 0. 0 >. <. <. HJILN&`pILnxN_N(¤Y\XZXWY£ VZUL[´XZN_MM-b\gtbcnxN¨\N_nxVWfNGwY]ULXWi¤Y\na`pILNª^_Y\UfgpVdwCN_nxNGwb\Ufw`pILNGibcnxN(efgpNGw`pY vfnpY¨]Na`xILNXWNGMMb]gJk<NGXWY£® ! !. , " M1 >54- 0 0 ((6, A0@F5F;4/5E@0- 4>!75 :/.,F5 M 0 H+*4>(M< ! - IM.M95A7/!EA 8@G- 1+,K1B> 5E- 0 ,0J.- , AE@F5;4/F5E@.- 4> 05 :4/E,5 , A 8@ G- IM.M95;4C7> -.@F57 -FI;, EAE/!050:4/! 8@0@K1 ,3> " M1 >57- 0 ?>(M$H+* , A0@F5F;4 /54@.-4 >0 5 :/.,F5 > 0 ((6, A0@F5F;4/5E@0- 4>!75 :/.,F5 M 0 < - IM.M95. - I;, EA7/ 05 4 : / 8@.@K1 3> > 05 :/.F , 5 >. , A0@F5;/5E@.-. 0 0 . 0 <. HJILN vfnpY:Yc<YcD`pILN!`pIfN_Y\nxN_MVZgkfb]gjNw&Y]U&`xILN VdwCNGbt`pI<b` V£!N!I<b ¨\N ²fnygr` ¦ XZb]gr`o¦ vDY\VZU>`xgY]U `xILN#^ VZnx^_XWN]]`xILN_U`pIfN_nxNTb\npNtY\ULXZi`r£Y{XWNGUL[c`xIfg!Yc[]bcv<g gjNGNtvh® OXD ® HJILNGUh>`pILN#VdgpgpeLNTVZg`pY^ Y]UfgpVZwCNGnG VZULVW`pVdbcXZXWi] ²fnygj`!¦ ¤Xdb\gj`J¦ ovDY\VZU>`xg!bcUfw´`pY{npNGMY¨]N `pIfN ¦vDY\VZU>`xg!VZUN °L^_NGgxg_® ¡:Yf:£!NaM{efgr` ^_Y\Mvfb\npN`xILN H G LG bcUfw · ¤Y\n#¦b\Ufw ®HJILN{M-bcVZU§VZMvDY\np`xb\U>`tnxNGgpeLX`ygtb\npN(`pILN{`pILnxN_N XZN_MM-b\gG¥ #H _ · ¥LVW ²fnygj` ¦ XZb]gr`a¦ `pILNGU<nxgj` ¦ a<nxgj` LG ·
(87) ¥CVW ²fnygj`a¦ XZb]gr`¦ `pILNGUXdb\gj` ¦ tXZb]gr` ·
(88) ¥:VW ²fnygj` ¦ XZb]gr`¦ J`pILNGU¦ b\UfwgjY<¥ VW ²fnygj` ¦ XZb]gr`a¦ `pILNGU ²fnygr` ¤Xdb\gj` QTN_ULNGnxb\XvLnxY\vDN_np`pVZNGgJ£ ILNGU£!NIfb ¨\N v<Y]VWU>`ygJY\U`pILN(^_VWny^ XZN\®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`efgwCN_fULNAH G · b\Ufw LG · ®. - I?M.M95. !. \]\6^`_)acbdb. + , ,. 5 9G6.@ .JFI :0I. . . 8?@ G:/.,F5 :/.,F5. . ,A. 0 ,=:05G8?@ G-. ,=:05FG-. . 2. 0 0 0 = H * 0 00 2 . 0 0 0 <.
(89) Oc~. ! X(. EA 8?@ G-K1+, " 1L>57- 0 ,=:7- 0 H+*-,=:7- ,3/:469G , A 8@G- 0 ,=:05G- 0 0 0 H+* , AE@F5;4/F5E@.- 4> 05 :/0,F5 , A 8@ G- 0 0 , A0@F5F;4/5E@0- 4>!05.:4/0,5 00 < I?M.M95 .:05FG-K1+, " 1B> 5E- 0 0 H+*-,=:7- ,3/:469G , A 8@G- 0 ,=:05G- 0 0 0 H+* =, :7- , AE@F5;4/F5E@.- 4> 05 :/0,F5 0 , A0@F5;4/5E@.-4>!05 :/.,F5 ,=:05FG- 0 0 0 < I?M.M95-FI;, EA 8@ G- 0576 % 9 1=, K1L>57- 0 , 51L>57- 0 ,=:7- 5 0 H+* ,=:7-5 0 H+* 0 , ,8(1B>F5E- =, :4- 0 H+*-, :7-7# 0 H+* ,:0I , AE@F5;4/F5E@.- 4> 05 :/0,F5 5 0 , A0@F5;4/5E@.-4>!05 :/.,F5 0 00 H+* 5( , A 8@ G- 0 < I?M.M95 I0DEA8@ G- / .K1+, %1B>54- 0 , /%1B>54- 0 , / (63, /F:46 G , A 8?@ G- 0 ,=:05FG- 0 0 0 H=* , ,8( 1B>F5E- 0 =, :4- 0 H+*-, :7-7# / 0 H+*. 0 0 , :EI , A0@F5;/5E@.- >!05 :4/E,5 , A 8@G- , A0@ 5;4/57@.- 4>!E5 :4/0,F5 0 0 0 H=* , A 8?@ G- 0 ( , A 8@ G- / 0 < I?M.M95A 8@ G- 0I0D/ .K1+,%1B>54- 0 ,/%1B>54- 0 ,/ (6,3/F:46 G , A 8?@ G- 0 ,=:05FG- 0 0 0 H=* , A 8@ G- 0 (6, A8@ G- / 0 < I?M.M95-FI;, .:05G-0576 9K1=,K1B> 5E- 0 , 51B> 5E- 0 , :7- 5 0 H+*-, :7-5 0 H+* , ,8( 1B>F5E- 0 =, :4- 0 H+*-, :7-7# 0 H+* ,:0I , AE@F5;4/F5E@.- 4> 05 :/0,F5 0 , A0@F5;4/5E@.-4>!05 :/.,F5 5 0 00 H+* 5( =, :05G- 0 < I?M.M95 I0D.:E5G- ./.K1+,%1 >5E- 0 ,/%1 >5E- 0 ,/ ( ,3/:69G , A 8@G- 0 ,=:05G- 0 0 0 H+* , ,8( 1B>F5E- 0 =, :4- 0 H+*-, :7-7# / 0 H+* ,:EI , A0@F5;/5E@.- >!05 :4/E,5 0 , A0@ 5;4/57@.- 4>!E5 :4/0,F5 , :05G- 0 00 0 H+* =, :05FG- 0 (6=, :E5G- / 0 < I?M.M95:05G-0I0D./.K1+,%1 >5E- 0 ,/%1 >5E- 0 ,/ ( ,3/:69G , A 8@G- 0 ,=:05G- 0 0 0 H+* =, :05G- 0 (6=, :05G- / 0 <. - I?M.M95. -. -. + , :0I 5+9 G6.@ ,:0I 5 9G6.@. . -. . -. -. . -. . -. N(gj`xbc`pNILNGnpNgpY\MNgjVZMVWXdbcnJvLnxY\vDN_np`pVZNGg b\k<Y]eC` 8 · f£ ILVd^yI£ VWXZXhkDNefgjNwb²`pNGnp£JbcnywLgG® . 0 ,3> " M*1B>54- 0 , :4- > 0 H+*-,=:7- > 0 H=* +, ,=:0I M 0 H+*-,=:7- M 0 H=* , :4- , A0@F5;/5E@.- >!05 :4/E,5 > 0 , A0@F5;4/5E@.-4>!05 :/.,F5 M 0 0 H+* , , 9 1B>5E- ' ,=:7- ;0 2 ,=:4- 0 2 , F:7- , A0@F5;4/5E@.-4>!05 :/.,F5Q> 0 , A0@ 5;4/57@.- 4>!E5 :4/0,F5 ;0 0 2 , F:7- , A0@F5;4/5E@.-4>!05 :/.,F5 0 , A0@ 5;4/57@.- 4>!E5 :4/0,F5 M 0 0 0 H+* F5.:FG7I 0 H=*?M;(6, 5EA0-FIE@ > 0 <. - I?M.M95-FI;, 050A0-FI7@K1 K1 >F5E-. UWV X \ UZY.
(90) hC. OD.
(91) !"# "$&%'()+*,-". . 0 , 50A7-FI7@> 0 (M$H=* ' , 0 2 0 ,:7- , ! , AE@F5;4/F5E@.- 4> 05 :4/., 5 0 0 2 0 ,:7- , ! , AE@F5;4/F5E@.- 4> 05 :4/., 5 M 0 0 0 H=*.F5 :FG4I< I?M.M95-FI;, 050A0-FI7@ .:7-K1=,K1B> 5E- 0 , > " M 1B>F57- 0 =, :- > 0 H=*-,=:7- > 0 H=* ,M;( 0 H=*-, 50A0- IE@ > 0 (M$H+* ,:7- , AE@F5;4/F5E@.- 4> 05 :/0,F5Q> 0 , A0@F5;4/5E@.-4>!05 :/.,F5 M 0 0 < I?M.M95 50A0-FI7@ .:05G-K1+,K1 >F5E- 0 , 5EAE- IE@ =, :05G- 00 ( <. - I?M.M95 . -. -. +, " " 0 ,. / @FC7/ 050A0-FI7@K1 > M1L>571B>57=:7- 2 :7A0@F5F; 4/5E@0- 4> 05.:/.,5 > A0@F5F; 4/5E@0- 4> 05.:/.,5. , 9 . H³Y´gpILY£ `xILNXZN_MM-b · > £!NefgpN\Lb\MY]UL[Yc`pIfN_nyg_:`xILN#¤Y\XZXWY£ VZUL[vLnxY\vDN_np`ri¥ / @FC7/ ./K1+, " /K1B>57- 0 ,/(6, /:69G , A 8?@ G- 0 ,=:05G- ,:7- , AE@F5;4/F5E@.- 4> 05 :4/., 5 / 0 , A0@F5;/5E@.- >!05 :4/E,5 ,.J.- , AE@F5;4/F5E@.- 4> 05 :4/., 5 / 0 , A0@F5;/5E@.- >!05 :4/E,5 - I?M.M95:0I../K1+, " /K1B>57- 0 ,/(6, /:69G , A 8?@ G- 0 ,=:05G- 0> -0,FI.CE@FIM I<. - I?M.M95. 0 0 0 H=* , A 8@G- 0 0 0 2 =, :05G- 0 0 0 < 0 0 0 H=*-,=:0I / 0. HJILN`r£!YXZN_MM-b\gTkDN_XZY£^ Y]npnxNGgpvDY\Ufw`xY`pILN-gj`pefwCi§Yco`xILN-^ VZnx^_XWN^ Y]U]`ybcVZULVZUL[ ^GbcUgjNGNwCVZgj`pVZUf^ `pXZi´`pI<b` `pIfN_nxN#b\npN]Lb` MY]gj`GLY]ULXZi-`r£Y-wCVW¬N_nxN_U>` XWNGUL[c`xIfg Yc[]b\vh®. . I;-98C7>/5E@0-980;6:E5E@K< /CE-E,IG 80G 5 :4/.,F5 8@.@%1 3> K / 1 4M 6:4- 5 :4/.,F5 / /CE-E,IG 80G / @FC7/ 05 :4/.,F51 F:75.:4/.,5 2 :4-5 :/. , 5 /CE-E,IG 80G / @FC7/ .K1 %1B>5EJ I <. . +,. +, " +, ,. 0,. 0 1, . 3, , . 0. ,. , . 0 0 ( (6, . 00 0. 0 0. <. >. 0. R. <. vDY\VZU]`yg_® N. <. FI0A 8?>98-984C7>/K1)( K1B>5E- '6,3/:46 G , A 8@ G- 0 ,=:E5G- 0 0 < - IM.M95 8> -FIE@ 51+,%1B>5E- 0 ,3>(1L>57- 0 ,=:7- > 0 H+*-, :7->3, :05G (1+,%1B>5E-. - IM.M95. 8> -FIE@. , / 0 00 H+* , 50AE-FIE@ , / 0 > 0 (6,3/:469GQ>, A 8@G- ,/ 0 0 0 < 0 ,3>(1L>57- 0 =, :0I =, :05FG- ,/ 0 0 > 0 H+* ,=:7->,/ 0 0 +H * , 50AE-FIE@ , / 0 > 0 (6,BM"8?>.69GQ>,=:05FG- ,/ 0 0 0 <. vDnpY\NVZbcU>UXZ`xXWg i Y\&¤nyN_wC°LY\N_U^ ntN_vL`p`pIf`YN´`xefIL^ gpNVZNnx^_`pXWILN]?³Y>¦AgjV8N{® v<N]Y]®´`r£VWU>¤Ynx`yY\gVWM U>£ `xIfN_nxVZ^yM`xIY©NIfwC¦(bVdb¨\`pN`xNILUfXZNYcN_`JMgpefi\M-^_N ^_`Jb\NGgGkDgxhgjN_Y]£N_nxUNg#npM&^_NGY\Me<nxgrnpY`#N¨\gjULNGvDwhYY\£]UfV8wh® gpN]®´IL®YHJ`p£ILIfN b`xIf`(bVd `Tg#¦6¤`pY\Y©vDnTY\gx`pVZb U>Ifi\`xN³g!vD¤£ Y\Y\n(ILVZU>Vdb\^y`xIXWg X b\npN UfYc` EjnxNGbcXZXZiXF Y\U`xILNt^_VWny^ XZN
(92) ® HJILNtXWNGMM-b]g · 8 ·
(93) = bcU<w · 8 · Q `pnybcU<gp^_npVZk<NT`xILVZgJvfnpY]v<NGnj`ri]® . O. R. R. ?P. - IM.M95. . =,. - I;, "1 K1B>57-. \]\6^`_)acbdb. 0 ,3>(1L>5E- 0 , :0I ,BM"8?>.69G , A. 8@G-. . 0 0 > 0 +H *.
(94) OXC. ! X(. ,=:7->,=:05G- 0 0 H+* ,:4- , A0@F5;/5E@.- >!05 :/.,F5 > 0 , A0@F5;/5E@.- >!05 :/.,F5 B, M$8>.69G ,3/:46 G >3, A8@ G- 00 , :05G- 0 00 0 < IM.M95 - I;,!FG?69;.K1=,K1B>54- 0 , >(1 >54- 0 , :7- > 0 H+*-,=:7-> 0 H=* , 1B>5E- 0 =, :7- 0 H+*-=, :7- 0 H=* ,:7- , A0@ 5;4/57@.- 4>!E5 :4/., 5Q> 0 , AE@F5;4/F5E@.- 4> 05 :4/E,5 0 0 H+* 0 ( (6, A0@ 5;4/57@.- 4>05.:4/0,F5 , 50A0- IE@ > 0 0 H+* , A0@F5;4/5E@.-4>!050:4/0,5 ,:7- , A0@ 5;4/57@.- 4>!E5 :4/., 5 , 50A0-FIE@ > 0 0 , A0@ 5;4/57@.- 4>!E5 :/.,F5 ;0 0 IM.M95 - I;,!FG?69;./K1=, K1B>54- 0 , >(1 >54- 0 , :0I B, M$8?>.6 G, A8@ G- 00 > 0 H+* , :7->3=, :E5G- 0 0 H=* 0 , 9 1B>57- ' =, :72 , :7 0 2 , :7- , A0@ 5;4/57@.- 4>!E5 :/., 5 > 0 , A0@F5;/5E@.- >!05 :4/0,F5 0 0 2 , :7- , A0@ 5;4/57@.- 4>!E5 :/., 5 ;0 , A0@ 5;4/57@.- 4>!E5 :4/., 5 , M$8?>.69G , /:469G >, A 8@ G- 0 0 =, :05G- 0 0 0 0 0 H+* -. -. <. 5 :FG7I<. ! . 0 =, :EI ,BM$8?>069G, A 8@ G- , :7->3,=:E5G- 0 0 H=* , 1B>5E- 0 , ,=:4- 0 2 ,=:7- 0 2 ,:7- , A0@ 5;4/57@.- 4>!E5 :/., 5 > 0 , A0@F5;/5E@.- >!05 :4/0,F5 ,:7- , A0@ 5;4/57@.- 4>!E5 :/., 5 ;0 , A0@ 5;4/57@.- 4>!E5 :4/., 5 , M$8?>.69G , /:469G >, A 8@ G- 0 0 IM.M95IED050A0- IE@ ./ "1+, " >(1L>57- 0 =, :7- > 0 H+*-, :7->3, M$8?>.69G , 50AE-FIE@ , / 0 > 0 (6, 50A0-FIE@> 0 < IM.M95IED050A0- IE@ ./ 1+, " >(1L>57- 0 ,=:0I ,=:05FG- 0 > 0 H+*-, :7-># , 50AE-FIE@ , / 0 > 0 (6, 50A0-FIE@> 0 <. - IM.M95. -. -. 0 ,3>K1B>. +,. - I;, FG?69; ./ X1 K1B> 5E-. 5E-. 0 0 > 0 +H * 0 0. 2. ,=:05G, A 8?@. 0 0 0 0 0 < 0 00 H+*. G-. 0 +H *. . 0> /5E@.- 80;6:057@K< . . " % ". . ". . $. . " #" . $). . HJIfN `pILnxN_N¤Y\XZXWY£ VZUL[(XZN_MM-b\g^ Y\nxnxNGgpv<Y]Ufw(`xY(`xILN `pIfnpNGNaXZN_UL[\`pIfg Yc`pILNt[]b\vfg_® Nt^_b\U´gjNGN `pI<b`b\XWX `xILN&vDY\VZU>`xgtYco`xILN{^_VWny^ XZN{b\npN(`xbc¯]N_UVZU>`pYb]^_^_Y\eLU>`GD£ ILVd^yI©MNGb\Ufg`xIfb`T`pIfN&N °CVdgr`xN_Uf^_N&Y\ b-¤Y\efnj`xI XZN_Uf[c`pIVdg VWMvDY]gxgjVZkLXZN\®. . . I;-98C7> , @ I.I< /CE-E,IG 0 8 G 5 :4/.,F5 8@.@%1 3> K / 1 4M 6:4- 5 :4/.,F5 / /CE-E,IG 0 8 G / F @ C7/ 05 :4/.,F51 F:75.:4/.,5 2 :4-5 :/. , 5 /CE-E,IG 0 8 G / F @ C7/ .K1 %1B>5EJ I <. . +,. +, " +, ,. 0,. 0 1, . 3, , . 0. ,. 00 0. , . 0 0 ( (6, . 0 0. <. >. 0 <. UWV X \ UZY.
(95) hC. OG.
(96) !"# "$&%'()+*,-". . . 0, 0 =, 0 , +*-, , , 0 0 0 H=* 0 0 0 , ( , 3, 1=,K1B>54- 0 , >(1 >54- 0 =, :0I ,BM"8?>.69G , A 8@G- 0 0 > 0 H+* ,=:7- >,=:05G- 0 0 H+* , 50AE-FIE@ > 0 (6,BM"8?>.69G , /:469G >, A 8@G- 0 0 ,=:05G- 0 0 1=, K1B>54- 0 , >(1 >54- 0 , :0I ,=:05G- 0 > 0 H+*-,=:7-> 0 H=* , 50AE-FIE@ > 0 (6B, M"8?>.69GQ>,=:05FG- 0 0 <. - IM.M95. -E, @FI.I 4JF57/ "1 K1B>54> 1 ( > 54:7- > H =:7-> BM$8>.69G A 8@ G 50A0-FIE@ > 3/:469G > A8@ G- <. - IM.M95. -E, @FI.I 4JF57/. . - IM.M95. . 0>. -E, @FI.I 4JF57/. , @FI0I<. <. !N_XZY££N´[]VW¨]N´bMY\nxN´^ Y]Mv<b\^ `bcUfwnxNGb\wfbckLXZN´gr`yb`xN_MN_U>`&Y\!`xILN´`xILN_Y]npNGMb\Ufw£ ILVd^yI VZg ^_XWY>gjNGn!`pY`pILN#`xILN_Y]npNGM vLnxNGgpN_U>`pNw® '. . . I;-98C7>JF57/K< F5E@9845 :0I >(1B>5E-%< /CE-E,IG 80G 5 :4/.,F5 8@.@%1 3> /K1 4M 6:4- 5 :4/.,F5 / /CE-E,IG 80G / @FC7/ 05 :4/.,F51 F:75.:4/.,5 2 :4-5 :/.,5 /CE-E,IG 80G / @FC7/ .K1 %1B>5EJ I < /CE-E,IG 80G 0>(1 :7- > 2 =:4-># < FI0A 8?>98-984C7>G69;.;4IG 1 50A0-FIE@ > < FI0A 8?>98-984C7> >.67M X1 3/:69G > A 8@G- < FI0A 8?>98-984C7> >.67M 1 BM$8>.69G /:469G > A 8@G- =:05G- FI0A 8?>98-984C7> >.67M 1 BM$8>.69G > =:05FG- <. . ". =. . . . . . +, " 0 1, , 0 , +, , 0 , 3, , 0 0 0 +, 0 , 0 +, 0 )(6, 0 0 )(6, , 0 0 , )(6, , , 0 0 )(6, ,. . ,I.CE@ IM-0, @ I.I 7JF54/(1 G69;.;7IFG E. > 67M. ,. . 0> JF57/(<. \]\6^`_)acbdb. =(. 0 2-,=G69;E;7IFG=(4>.67M! 0 2. 0 0 ( (6, . 0 0. ,G6;.;4IG (7>.6M 0 <. 0 0 <. <. >. 0 <.
(97) O\}. .. ! X(. /10
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