Indexing and Retrieval in Multimedia Libraries Through Parametric Texture Modeling using the 2D Wold Decomposition

Texte intégral

(1)Indexing and Retrieval in Multimedia Libraries Through Parametric Texture Modeling using the 2D Wold Decomposition Radu Stoica, Josiane Zerubia, Joseph M. Francos. To cite this version: Radu Stoica, Josiane Zerubia, Joseph M. Francos. Indexing and Retrieval in Multimedia Libraries Through Parametric Texture Modeling using the 2D Wold Decomposition. RR-3594, INRIA. 1998. �inria-00073085�. HAL Id: inria-00073085 https://hal.inria.fr/inria-00073085 Submitted on 24 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Indexing and Retrieval in Multimedia Libraries Through Parametric Texture Modeling using the 2D Wold Decomposition Radu Stoica — Josiane Zerubia — Joseph M. Francos. N° 3594 December 1998 THÈME 3. ISSN 0249-6399. apport de recherche.

(3)

(4)

(5)

(6) ! "

(7) $#&%

(8) "')(+* , * -.

(9)

(10) !/ 01(23 45,67 8 ' 9:* $;=< > , <1"0,! ?@,A'B&, CDFEGIHKJMLONQPRDTSVUFLOWMNXDFY:Z@[Z]\MG:^:NXDO_`SVUFLFWMZàbdcfehgi\jDkY:P`LOWml noqp r3sAtuwvyx`z{s|~}]Bz~]x oq]rr3s r6} oxqs] r6}]sRqxqxqsq&]xqx}~{}x&sM i|{s&z|{}x} 7}qk]|z7s|~s os | oqsdxF:tùws s r¡ ks|A¢]£¤u¥¦}]s §¨©ª «¬q®ª¯ noq}Fs |q|{sMsx`z~}°}|~}rs z{|~r3s&z~oq±²|xs ³Rxq´}x|{s z{|~sµj}¶h±r·¶¸z~¸ r3sM}q}z~}x°z~}¶F¶ q|~}|{s¹vyxs&³xq»º²¶} Fs ¶x`¼}x |{s z{|~sµ}¶O±z{oqs¤r·¶¸z~r3sq}3q}z~}}|~s Fs |{±²|~r3s»·kxq}| }r3s&z~|{r3s ¶xq±iz{oqsz~s&³Rz{·q|~s@sr3s x`z 7±²]·qx´x´z~oqs3q}z }mr3}s|{½ r3Fxqsx]z ¹=noqssMz~r6}z{s¾}| }r3s z{|~r3s¶±iz~oqsz~s&³Rz{·|{sM´sr3s x`z {s |~µs}]7z~oqs |x q s]}xk¡os x s7}ix&sMi±Fz{oqss x`z{|{s"r6}]s}]i¿Às¶¶k}:±Oz~oqs"r·q¶z{r3s}|~s | A¿"oq o3z{oqs r6}]s"V}|{zhz{os |~s ±¹:n} oqs µ]sz{oqs} q¶z½¡z{As x`z~¸±²½z{s ³Rz{·q|~s3r6}s"|~s ]]xh}x3sz{r6}z{s z~oqs |k}| }r3s&z~s | :}3x`z{s ]rsx`z~}z~]xÁsz{r3}z{x}¶]|{z{or1z{ok}z r¡ qxsz~oqs¥ÁÃÂ¶ qs&]r3k`z{x6 }]sMz{s ³`z~·q|~s7r3Rqs ¶F¿"¸z~o }Ä»}|{Å]µ`}x¶} Fs ¶xqq|{ s~ ]s |~µsÆ¹iÇ| s |~xq }xxks&³xq»±r6}s¤|~sÈ`·q|~s3}»qs&Éxqz{x±}»qz~}x&s6r3s}]·|{s3 Fs&z¿s s x2r6}sM ¹Ê{xq z~oqs3±²| }r3s ¿|~Å»±z{oqsmË¤·¶¶ } Å@z~}x&s3 Fs&z¿s sx|{] } q¶¸z½¾qz{|~ ·z{x}xqs¿f|~|~·k qz~}x&sr3s}]·q|~sV Fs&z¿s sxz~s&³Rz{·|{sM:is|{µsM¹nosqz~}x&s Fs&z¿s s x3}xR½¤z¿=z{s&³Rz~·q|{sMr6}]s {s ]r3s x`z~:s µ}¶·}z~s·xq=z{os |isz{r3}z{sM}|~}r3s&z{|~hr3s ¶ ¹:noqsq|~F]{s¡sr3s x`z~}z{xÆ qz~}x&ss µ}¶·}z{xÆ}xAxs ³Rxq=r3s&z{oR}|{so¿"xAz{=q|~·&s&]r3}| } q¶sh|~s{·q¶z~z{z{oq`s ] z~}xs `½}¡oR·qr6}xµRs ¿s |M¹ Ì»Í`ÎOÏ~ÐÑ «Ò©¯ ¥ÓÂ@]¶@s r3F]{¸z~]xÆKÄ»}|~Åµ| }x]rÉs ¶ÆË¤·q¶¶ k} Å»z }x sOz{s ³Rz{·q|~s {s ]r3s x`z~}z{xÆRxs&³xqr·q¶z{r3s}q¹ ÔÆÕjÖ:×ØBÙQÚ"Ø ÛÜÝ Þjß=à áXØBâäãÝÝ åjÞæ&ØBçXâèÝ åjÖVéÖÙQßjêjâèÝÀ×Ý çç ßjëjëØBÙ²á ÖÞ¤âäåëÝ Ù²áKê ì7íîï²ÜàÔðíçXç Ø ãâèÝ~á âäØBåîÙ Ý åjãØ ñ ïòç ÙXÝ ÖóäâäÖåjåMÖVëØBßjÙÜÆÖã ÕjÖÙXãÁÕMÖàãâäÖå&á â ôõ ßjÖhÖyáKÔÖã Õjåjâäõ ßjÖ{öKßjåjÞMÖÙ÷ÙXÝ å áøBùBúûÜÆíïúMüBý ÔÆÕjÖ×ØBÙQÚ"Ø ÛæBØBçXÖëMÕ=ûý îÙXÝ åjãØBçÆ×Ý çç ßjëjëØBÙ²á ÖÞâäåëjÝ ÙQáÆê&ìáXÕjÖ:ïòç ÙXÝ Öó`û¤âäåMâäçXáXÙQì"Ø ÛqàãâäÖåMãÖ:Ý åjÞ"á ÕjÖîÙXÖåjãÁÕ û¤âäåjâäçXáXÙQì7Ø ÛkÜÆÖç ÖÝ ÙXã ÕÝ åjÞ=ÔÖãÁÕMåjØBóäØBþ ì¤ßjåMÞjÖÙ÷ÙXÝ å&áiÿBÿMüjüøBù ÜKÝ Þjß à áXØBâäãÝÝ åjÞmæBØBç âèÝ åjÖéÖÙQßjêjâèÝAÝ ÙQÖ×Kâ áXÕïÜKïòí àØBëjÕjâèÝíå&áXâäëØBóäâäçBúBú AÙXØBßMáXÖÞjÖ RßjãâäØBóäÖç

(11) ø úBùBøBú7àØBëjÕjâèÝíå áXâäëØBóäâäçÖÞjÖîÙXÝ åjãÖ&ý æBØBç ÖëjÕ¤ûýîÙ Ý åMãØBçiâäçÆ×Kâ á Õá ÕjÖÖëÝ Ù²á"Öå&áiØ ÛkóäÖãyáXÙXâäãÝ óÝ åjÞOØ"ëjßMáXÖÙ åjþBâäåjÖÖÙXâäåjþ!" OÖåMñQ÷ßMÙXâäØBå#Kåjâ ñ ì & OÖÖÙ²ñQàÕjÖ $ Ý7 ÿ jüú 'ïòçXÙ Ý Öóý $ ÖÙQç â áò%. Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles, B.P. 93, 06902 Sophia Antipolis Cedex (France) Téléphone : 04 92 38 77 77 - International : +33 4 92 38 77 77 — Fax : 04 92 38 77 65 - International : +33 4 92 38 77 65.

(12) !. Om

(13) ¤:&, "0i*"0i*4

(14) ' %

(15) A'K ,""' B !/"

(16) 4 A0À/ ! ,67 &'

(17) ¤ , ?

(18) A

(19) !: 6 3$6 'K

(20) )&

(21) "0À,!/?¾,A' , > ,& ;=<.

(22) © ¯ si| }qF|{zq|~{s x`z{si·qxshr3&z{oRqsi}| }r3&z~|{È`·qs:ks|{r3s zz~}x`zs:±Q}|~shsi¶ xs&³q}z{x s zs ¶}¾|{sM oqs | oqsmq}xA·qxs }]s qs xxq sMAr·¶¸z~r3q}¹ xs&³q}z{x.º² z{È`·qs&z }sj¼¤s&z¶} |~s os | oqs"s7xxq sMhr·¶¸z~r3q}{x`zV|~}¶s:]|]&s¤¶}¤r3¶{}z{x3}|~}r z{|~È`·qs"s7z{s&³R z~·q|~sÈ`·qK{sz~|{]·qµsx]z7q}x¶sMr6}ss¤¶} }{s=qsAxqx s ¹ ÆsMVz~s&³Rz{·|{sM"]x]z7}| }Bz~s |~{ sM k}|AsM¤}| }r3p&z~|{sM¤È]·Vs|{µ]s x`zA xq sF·q|¶}°|~s oqs|~ oqs3q}x¤¶} }]smqs3qxqxqs¹m"Éx qsk]·qµ]|7sx]z~¸Éks |7¶s7q O |~s x`z{sM7|~ ]]xz{s ³`z~·q|~ s ·xqsAr3}s¤s&zsz{rs|7¶s7k}| }r3p&z~|{sM |~|{sMFxkq}x`z~·x}¶]|{z{orss={s ]r3s x`z~}z{xÁsz{r6}z{x6sMzq|~F]{q}xÀ s| }k]|zM`È`·q ±Q}¸z7}qks¶ ¡·qxqsAM&r3F]{¸z~]xsÂ¶°¥IF·q|"¶s¤rp¶sAqsz~s&³Rz{·|{s¤s&! z ·qx°r3p ¶s¤r3}| Å]µRsxk]·q|¡"¶ &z{È`·qs&z }]s# ¹ xqs&³q}z~]x xq s~z{ss°&Éx|·qxqs°z }x s s x`z~|{s¶sMr6}sM ¹ Êxqs=xq·qµ]s ¶¶s=z }x sRxkq|~ sqs¶}¡qz~}x&s=s=Ë¤·¶¶ } ÅORszq&|~z{s¤q}x&s=| }qF|{z% ¹ $i¶¶s ·qz{¶s"¶sh}| }r3p&z~|{sMsz{rMh&]|{|~s{Fxq}x`z~:}·r3Rqp ¶s¥.qs7 o}È`·qsz{s ³Rz{·q|~s% ¹ ÆsMi|{M·¶¸z }z~ ] z{sxR·7|~s ¶}z~µ]s r3s x`& z 6¶}m{s ]rsx`z~}z~]x»s&' z 6¶ xs&³q}z{x´{x`zq|~ oqss¡ s ·³° z~s xR·}| ·x]k|~}z{s·q|o`·r3}xK¹ ( Ñ ªM© Ï *® ) ©¯ r3k`z{xs Â@]¶¥¡ ok}r3sÄ»}|{Å]µFz~}x&smqs Ë¤·q¶¶ }] ÅO{s r3sx]z }z~]xÆxks&³q}z~]xÆr·¶¸z~r3q}¹.

(23)

(24) . t. !#"

(25) $&%')( *,+-. ,¡A7A' .. ª« Ñ Ò ®ª)3 Ñ. /10 2. Í. 57698 <>=. Í : 6 . 2. 4. ª K« Í(+Ñ Ò Í. © ª)3 2¬ª)3 Ñ. 2. (. Ñ@? ª 8 Í. ). ;. Ñ Ò Í. )BA¬«¬ Í «Í© 6 Í: ª Æ. ª Í «©. ® Í (+Í ¬q© K« Í © ?ÁÑ « n osAË¤·q¶¶ }] Åmz }x s´¹¤¹¹¤¹¹¹=¹¹¤¹¹¤¹¹¹¤¹¹¤¹¹=¹¹¤¹¹¹¤¹¹¤¹¹¤¹¹¹=¹¹ k¹¢]¹¢ $:³ks|{r3s x`z~}¶Æ"s{·q¶z~ ¹¹=¹¹¤¹¹¤¹¹¹¤¹¹¤¹¹=¹¹¤¹¹¹¤¹¹¤¹¹¤¹¹¹=¹¹ k¹ ¥5 r3q·z }z~]x}¶¶ ½ $IHm&s x`z=qq|~]}] o°±²|&$hµj}¶·k}z{xq6z~oqs¡z }x s9Js&z¿s s x ns&³Rz~·q|{sM¹¹=¹¹¤¹¹¹¤¹¹¤¹¹¤¹¹¹=¹¹¤¹¹¤¹¹¹¤¹¹¤¹¹=¹¹¤¹¹¹¤¹¹¤¹¹¤¹¹¹=¹¹ k¹ ¥q¹¢ $:³ks|{r3s x`z~}¶Æ"s{·q¶z~ ¹¹=¹¹¤¹¹¤¹¹¹¤¹¹¤¹¹=¹¹¤¹¹¹¤¹¹¤¹¹¤¹¹¹=¹¹. 4ED. k¹¢. 3²©ª¬ 2. ML Í «)N3Q© Í Ò 0 2 ¬PO SUT Ñ 2 ® ) K©)3 Ñ 2 © C §3®)V 2 ÑRÐ ) Í ÒWO Í 2 ªM© ;7K. 2. ©. ÜÜåX'Bø. ÍRQKÍ O. . Í 2 ª ¬qª3 Ñ 2. C /-F ¢G ). ¢j¥ ¢j¥ j¢ . / ; 5!5 5!5.

(26) !

(27) W

(28) + . . O,6° 0V&,¡. Çxs6±z{oqs6r6}]|q|~ q¶s r6¤x·z{¶ xq°z~oqs6xq±²|~r3}z{x2oqoR¿}j½Rz~s oqxq]¶]s=¤z{oqs xqs sM z~»s µ]s ¶sHm&s x`zz{R]¶=±²]|Az~| }s]ÆsM}| o@}x¾xk}jµ`]}z{x@x2r·¶¸z~r3sq}¶ q| }|~s¹6Ä»|~s {Fs&Ék}¶¶½]k}7z{oqs¡} s~z{ r·q¶z{r3s}m¶ |~}|{s"}x»}| oqµs7 ksM&r3xq }x»x`z{s| }¶}|z ±Kr6}xR½6r·¶¸z~r3sq}3}q¶ }z{x`s Hm&s x`zz{R¶À±²|"z{| }]s`sM}| o }x x}jµR`}z~]xmxr·¶¸z~¸ r3sM}=¶ |~}|{s:}|~ss~sx`z{}¶ ¢ Gq¢]¢ Á¹noqs|{si¶}|~sµj}|{s&z½¡}x}¤ q|~]}|~}xqs±}q¶ }z{x ¶ÅsA~}z{s¶¶z{sAr6}xq }x|{sr3z{s¡sxxqkr3s }¶}]xq]{"}x°|~s{s}|~ oÆRÉk¶rÁsz{xqO}xk }]µs|z~{xqz{o}z|~sÈ`·q|~s·{s | hz~}] s~hµs|{½3¶}|~s=q}z } }]sMV&]x{z{xq±Kr·¶¸z~r3sq}q}z }q¹ · o@q}z~} }x¾ Fs3}&]r qx}z{x¾±Vr3}sM Æ{kss o}x@]·qxK{x}¶}x´z{s&³RzM¹¡Ór6}| |{] q¶sr ¿"¸z~o r¡·q¶¸z~r3sM}q}z~} k}{sA¡z{oqsz~|{srsx]·µ]¶·qr3s¡±}z~}¹ Ãq Os |~s x`zV½s&z z{|~x¶½|~s ¶}z~s»q|~ ¶srO7z~oqsq|{] q¶s r ±hxs ³RxqkF¶} Fs ¶xq}xk´|~s&z{|~s µ}¶±Vr¡·q¶¸z~r3sM} }z~}¹@noqsÈ`·qsz{x±7oq¿) }x xqs x`z{s¶¶s x`z~¶½{s}| o2x }¾ ¶¶sMBz{x±7qBz{·|{sMo}]Axq z{| }o`z{±²|~¿}|~}x{¿s |M ¹ hs zÆ·qs¡z{z{osz~|{srsx]·¶½°¶}|{]sAµ]¶·rsM±Àq}z~}mxRµ]¶µ]sFxqs ¿·¶°¶Å]sAz~m ks} q¶sAz~ qxqFx`zz{oss&³q}]Bzx±²|~r6}z~]x»oqsO|=osFx`z~s |~sz{s°xÆFz{{}jµ]s z~oqsAz~r3s3}x´xqs&z¿|~Å|~s{·|~ s"xRµ¶µsMx¾z{| }x±²s |~|{xq6¶}|~sAµ]¶·qr3s±h·qxqxs&sM{~}|~½}z~} ºQs µ]s xx»}3&]r|{sM{{sm±²|~r6¼&¹ vyxz{oik}Fs |i¿s7}q|~s~xqs"}]Fs&zh±z~oqh&]r¶s ³q|~ q¶s r°xk}r3s ¶½z~oqs7sµs ¶rsx`z:± }¶]|~¸z~oqr6F±²|Æxs ³xqAºQ¶} ks¶xqR¼O}x¤|~s&z~|{s µ}¶±`r¡·q¶z{rsM}7q}z }qM }{s=]xz~oqshq|~Fs |{z{sO± z~oqs"r3}s|{½A r3k]xqs x`z :±z~oqs7z{|~sq}z~}=|{sM&]|~¹noqs"q|~F]{s{¶·z~]xz~¤z{oqs"r¡·q¶¸z~r3sM} }z~}¤|~s&z~|{s µ}¶q|{] q¶s r h k}{sx6&]x`z{s x`z{ }]sM|~s&z~|{s µ}¶q±Or6}s |~½¡}z~}¹Âs7q|~s{s x`z:z{R]¶ }xz{sM oqxqÈ`·qsAz{¾sx]z~¸±²½2r6}sM¤z{ok}z}|{sr3¶}|M]|Az~o}zo}jµsm}´ r3r3x o}|~}]Bz~s |~z{ ¿"z{o@} {ksM&És»r6}]s¹Ä°]|{s¡Fs ¸Ék}¶¶½]kxs ³xq}x°|~s&z~|{s µ}¶K±iz~oqs¡}z~}}|~sAFs |{±²|~rsM ·kxq3}| }r3s z{|~r3Rqs ¶xq3±z~oqs¤z{s ³`z~·q|~s&r3Fxqsx`z~xz~oqsr3}s|{½mq}z~}¹ vyx2r·¶¸z~r3sq}»q}z~}°|~s&z~|{s µ}¶h}qq¶}z~]x K¸zArF|{z~}x`z=z~o}zAr6}]s¡±²sM}z~·q|{sM·{s¾±²| k}zz~s |~x &]r3}|~{x6|{µRs}A]RRmrsM}{·q|~s7±Kr6}]sFs | &s qz{·}¶F{r3¶}|{z½¹vy x ¢¦ R¿so}jµ]s |{sMsx]z~s»}6k}| }r3s&z~|{=z{s ³`z~·q|~sAr3Rqs ¶¿"oq o»7 k}{s°x°z~oqs¥Á Â@]¶¾s r3k`z{! x ¢ " }x&|~|~s{k]xxqsMz~r6}z{x3}¶|~z{oqr6±²|:z~oqs"}| }r3s z{s | ±FxqµR·}¶qz{s&³Rz~·q|{sM ¹vÁzh:¿Às¶¶ ÅRxq¿"xz~o}z¡z{s&³Rz~·q|{s s ¶·s¡q|~s {sms&Ékxq¸z~]xÆ ¹ #¿Àsµs |MK$ x ¢¦ z{oq¿"xz{o}zz{os Â¶ qs&]r3k`z{x }{s z{s ³Rz{·q|~s¤rs¶Æ"µs|{½m{· s~±²·¶x°sz{r6}z~xq3z~oqs}|~}rs z{s|~À±:¿"o}z oR·qr6}x¾µRs¿Às|~Fs | &s µs}=x}z{·q| }¶z{s ³`z~·q|~sÆ}x¾x|{sq|~Rq·&xqmz~oqs3|~]xk}¶Æz~s&³Rz{·|{s·{xq + &%z{oqs3sMz~r6}z~s@}| }r3s z{s | ¹Ä°|~s{Fs&Ék}¶¶½]·xqz{oq¤}|~}rs z{|~r3Rqs ¶iz¤{oq¿"x z~o}z}~·qr3xqz{oshz{s ³Rz{·q|~s:És ¶K}|~s}¶ }z{x¤±q( } '¤}·k{{}x|~}x]r.És¶¤¿"z{or3³RsMA{ksMBz{| }¶ qz{|~ ·z{xÆjsM{{s x`z{}¶¶½xz~x·qok} q¶sV|~s q¶ }Æ±z{osV|~x}¶z{s&³Rz~·q|{sÀ}|~sV½Rx`z{os{) s=±²|~r z~oqsVsMz~r6}z{s}| }r3s z{s | ¹ #7s xk&sxz~oqk}Fs |Mz~s&³Rz{·|{sÀx±²]|{r6}z{x·ksM¤±²| o}| }&z{s |~ xq r6}]s|{sx¹Êxqmk}| }r3s&z~|{z{s&³Rz~·q|{srs¶xqm¿ss|{µsA}x´}¶]|{z{oqr ±²|7¶} Fs ¶xq }xk xs ³xq¤r6}sM `½7x]z~¶½sr3s x`z~xq¤}xk¡sMz~r6}z{xq=z{oqs"}|~}r3s&z{|~hr3s ¶i±kz{oqsz~s&³Rz{·|{sM }|{sM}Kx¡z{oq`sÀr6}s¹nosÀ}|~}r3s&z{|~hr3s ¶R±ks} oz{s ³`z~·q|~sAk}z~ os r3q¶½sM}]Æz~oqs ,+@(#" ±Kz~o}z7}z~ oÆq}xz{oqs|{s ±²|~s=}]"}x°xs&³ z{3z{oss x`z{|{s¤r6}s]q}xr·¶¸z~r3sq}6q}z~}|~s&]|~Æ¹ Ä°]|{sµs|]z{oqs¤}|~}r3s&z{|~|~s q|~s{s x`z }z{x ±}¡z~s&³Rz{·q|~s·{s&±²·q¶Kxqz"x¶½m}]"}qs~&|~z~]x ±i¸z 7È`·}¶¸z }z~µ]s¤±²s}z~·q|~s|}"z~¶} ks¶Xk q·z}¶{3±²| r3q|~s~xq·q|~F]{s¹ÀvÁz{oq¿"x°x ¢t Kz{ok}z·kxq6z~oqsÂ¶Rys r3k`z{x° }]sMz{s ³`z~·q|~sAr3Rqs ¶ kµ]s |~½ oqo¾ r3q|~s~x| }z{] ±²]|¤z{s ³`z~·q|~s2}|~s}]=}x2 Fsm} oqs µ]s¹ x s3z{oqs6µ]s |~½¾{}r3sk}| }r3s&z~|{rs¶h±z{os3z{s&³Rz~·q|{s. ïÜÆïòí.

(29)

(30) . !#"

(31) $&%')( *,+-. . Éks ¶¾=·sM»±²]|¤ xKz{]|{xq}x´xs ³Rxqz{osz~s&³Rz{·q|~s6q}z }qOz~oqs6&r3q|~s~{s´q}z~}º , z~oqs È`·}x]z~) s2r3s ¶À}| }r3s z{s | ¼{r·q¶z~}xqs ]·¶½¾|{µRs=z~oqs@ºQ}| }r3s&z~|{¼±²sM}z~·q|{s6µ]s&z{| z~o}zi o}|~}]Bz{s|{ sMz~oqsz{s&³Rz~·q|{s]}x¸z :xks&³¹:no`·kKz~oqsq|{]k`sMA}|~}r3s&z{|~ixks&³xq=~ oqsrs |{µRs}|{sq|~s{s x`z~}z{xmz~o}z"±Q}]&¶z~}z{sM"&x`z~s x`zÁ }{s |{s z{|~sµ}¶±z{oqsA r3q|~s~sM q}z~}¹ noqs3}ks|¤¤]|{`}xq sM´}±²¶¶¿7 vyx{s&z{x¥} q|~s ±sM{ |{z{x@±Àz{oqs3Â¶@sM&]r¡ F]{z{x }{s z~s&³Rz{·|{s´r3s¶X"6µsxÆ¹Inoqs´sz{r6}z~]xTq|{ s·q|~s»±¤z~oqs»z{s ³Rz{·q|~s´r3s ¶ k}| }r3s&z~s | :h{·qr3r6}|~) sx s&z{x6tq¹vyx s&z{x6kxqs¿ z~}xk&s7r3s}]·|{sM±²|iz~s&³Rz{·q|~sV}|~s qs |~µ]s¹AÂsÉ| z¤q|~s{s x`z¤}°z~}xk&srsM}{·q|~sz~o}z¤s r3q¶½z~oqs6Ë¤·q¶¶ }] Å´z }x s¡ Fs&z¿s sx z¿=r·q¶z{µ}|~}z{( s '¤}·~{}x¡q|~ k} q¶z½Az~|{ q·z~]x¹noqir3s}]·|{so}z~oqs7}qµj}x`z~}]sÀ±kx}z ·|~}¶¶½´x&]|{F| }z~xqz{osmz~}x&sM±z{osm Os |~s x`z¡ r3Fxqsx]z ¤±z{oqs6Â¶sM&r3F]{¸z~]x k}{s|~}x]r És ¶°r3s ¶ x`z{m}6{xq]¶sr3sM}{·q|{s]¹Vn6|{sM·&s¤z~oqs r3q¶s&³¸z½±z{oqs¡z~}x&s r3q·z }z~]xÆi}»oqs | }| oq}¶h}qq|~j³Rr6}z~]x@±"z{oqs qz~}x&smr3sM}{·q|{s ¡s |~µ]s¹»)z{s&³Rz~·q|{s {s ]r3s x`z~}z{x¾|{&sM·q|~sz~o}zsr¶½z{oqsz~s&³Rz{·q|~s3}| }r3s z{|~¡r3Rqs ¶h}xk´z~oqs3xqs ¿Óz~}x&s r3sM}{·q|{s="q|~s{s x`z{sM x sBz~]x´¹:vyx s&z{x»¦¿Às¤q|~s{s x`z"·q|7 x ¶·kx¹ ;. (+*. (2345,67. nosq|~s{s x`z~s3z~s&³Rz{·q|~s=rs¶O }]sM6x z{oqs=|{sM·¶¸z À±Æz{osÂ¶R z½`Fs¤s r3k`z{x ±¥Á |~s ]·q¶}|"}xoq]r3sxqs ]·|~}x]r)És¶q¢ Á¹ Ks&z

(32)

(33) ]q Fs}3|~s}¶µj}¶·s |~s ]·q¶}|M}xóqr3]s xqs·7|~}xr És ¶¹=noqs x

(34) À }x´ ks¡·qxqÈ`·qs ¶½°|{sq|{sMsx`z{s R½z{oqs ]|z~oq]x}¶Fqs&]r3k`z{x

(35)

(36) !#"$

(37) &% º¢M¼ nos´És¶' (

(38) )¾ q·|{s¶½ xks&z~s |~rxqz~@}x.o}} ·qxqÈ`·qs¾¿"o¸z~s¾xqxqµ}z~]x.|{µsx r3µRxq}jµ]s | }]s|~s q|~s{s x`z~}z{xÆR]µ]s x R½.

(39) *. + =< 9>?4@A CBD<

(40) EB)>? ,.-0/ -21435,76/ 891;:. ºX¥¼. nos És¶F"

(41) )}@s&z~s |~r3xqz{ | }xqr És ¶¹vÁz6 }x Fs{oq¿"xz~o}zz{oqs|{ss&³z ¡} ±Q}r3¶½ ±(G # z{z~}¶¸Á| s |mqs&Éxqz{xk{· o z{ok}zmz~oqs¾ F·qxkq}|~½ ¶xs¾±¤z~oqsG # o}m} | }z~]x}¶{¶]ks]¹Æs&zHI J» Fsz¿¤ q|~rs"x`z{ss | ·k oz~o}zIHFF K L¹noqs7}xq¶sNM±Fz{oqs7{¶Fs" ]µ]s x `P ½ OQSRFMTUJVHV ¹ $h}] o±Kz~oqs{s·qk]|z "}¶¶sM'

(42) +@ +@+$W %

(43) $ X2W.Y@ + ºX& G #V¼&¹Â@s7qs xqz{s `[ ½ Z z{os{s&zi±F}¶¶Rk`{{ q¶s& G #2s Éxqz{x:]xz~oqs7¥jy ¶}z{z{&s]º , z~oqs{s&z±Æ}¶$¶ G # qs&Éxqz{xkhxm¿"oq o3z{oqs k]·qxq}|{½¡¶xqs±Oz{oq\ s G # V±| }z{xk}¶{¶]ksj¼B¹ nosx`z{|~·&z{x±z{oqs±Q}r3¶½ ±:& G # z~z }¶ ]|~s|{xq3s&Ékxq¸z~]x"|~s{·q¶z~x°z{oqs¤±²]¶¶¿"x ·qx`z } q¶½mxÉxqz{s]|z~oq]x}¶FsM&]rF]{z{x±Kz~oqs¤És¶ 7s z{s|{r3xqz{&]r3k]xqs x`z ¢ " . + ºQt]¼ ,7_`/ ab1

(44) ,7_`/ ab14cedgf nos´|~}x]r9És¶hi]5

(45) ´} - X2W.Y! +@ (

(46) ,+

(47) m Éks ¶}xkj 7, _`/ ab1

(48) @ z{oqs sµ}xqsM{ s x`zAÉs¶ |~|{sMFxkx°z{´z~oqs\G #dz{z~}¶¸Á| s |~xq´s&Ékxq¸z~]xFf HI JklmZ¹ x&s "$

(49) *D]^

(50) !. ÜÜåX'Bø.

(51) !

(52) W

(53) + ¦. ±²]|À|~}]Bz{ }¶k}qq¶}z{xkh¿s=}xms ³ ¶·ks{x·q¶}|{Á x`z{xR·q·kiFs&z{| }¶Oz{|~ q·z{x ±²·qx&z{x ±²|~rfz{os±²| }r3s ¿|~Å±Æ·q|Vz{|~s}z{r3s x`z}r3s¶±²]|Vz~oqssµj}xqs~&sx`zVÉs¶6¿"o o |~|{sMFxkq:z{ z~oqsA& G #Ts ÉxqsM R) ½ 4H J Zf]µ]s x `½. ,7_`/ ab1

(54) * f + ,7_ / a 1 5HB

(55) CJk. , _ / ab1 ,7_`/ ab1 H !DJ JP!

(56) Hk ! 5H)B

(57) J !.R. .

(58) . ,7_`/ ab1 H !#J JC!#

(59) H. . ºQ`¼. ¿"os |~s:z{oqs"¢ Á·q|{s¶½`Áxks&z~s |~rxqz~:|{&sM{{s ,7_ / a 1 5HB

(60) J ]e " ,7_`/ ab1 5HIB

(61) CJ ]b# 6, _ / ab1 5HB

(62) J ]A # 8,7_`/ ab1 5H B

(63) CJk }|{sr·z~·}¶¶½|{z{o]x}¶Æ±²|}¶¶%$2 &e i< 9> '$g( K &e 2<# K >O}xk°±²|=}¶¶)$ 7 , ` _ / b a 1 , _ / b a 1 z~oqs6q|~&s~{sT . 5H B

(64) CJ }x # 5HDB#

(65) J mo}jµ]s}x2sx`z{ }¶h}·z{ |~|{s¶}z{x ±²·xBz~]xÆ¹ #s x siz~oq+ s *{ksMBz~|~}¶Àsxz½±²·qx&z{ x ,m±sM} os µ}xqs~&sx]z¡És ¶ ok}z~oqs±²|~r ± }¾&·x]z } q¶s{·qr ±A¢ Ás¶¸z }»±²·qx&z{x¡¿"oq o }|~s {·qqF|{z{sMx¶xs¡±7| }z{xk}¶À{¶Fs x z~oqs ¥jy){ksMBz~|~}¶hr6}xÆ¹6vyxz{os3±²¶¶¿"xqK¿Àsm}]{{·qr3sz{o}zz{oqs6r3·q¶}z~xq¢ Á)q|{ s~sM ,7_ / a 1 ,7_`/ ab1 }xk - ,7_ / a 1 ,7_`/ ab1 7±ks}] o¡sµ}xqsM{ s x`z:És ¶3 }x Fs"rs¶sM `½¡}Ékxq¸z~s"| s | rs¶X¹ vyxz{o"k}Fs |M¿ÀsA}¶{}]{{·qr3s=z{o}z"z{oqsok}¶±ò q¶}xs¤qs&z{s|{r3xqz~=És¶° x{z~]xq¶½m±z{oqs ok}|~r]xq| }xqr És¶ ..

(66) )0+ / 1 ) 32. 1. . 4. 65 1 !#

(67) . 1. !7 1. .R. !. 4. 65 1 !#

(68) . 1. . ºX¼. ¿"os |~smx s xs | }¶ %8xÉxqz{s]¹¾noq¡ r3Fxqsx]z¡s xs | }z{sM¤z{os¥jys ¶z~}°±²·xBz~]x±"z{oqs }¶sx{¸z½9,¹ ÂToqsx°s&³q|~s~sMmxz~oqs¤sxqs | }¶F±²|~r º ¼Bqz{oqs&Rs H6 sx`z~ 1 !7 1 =±z~oqs¤o}|~r3xq¤&]r¡ Fxs x`zA}|~s¡|~s}¶µ}¶·qsMÆr¡·z{·}¶¶½´]|z~oq]x}¶| }xqr µ}|~} q¶s2 ¹ #7¿s µ]s |Mx&s3x@]s xqs|~}¶X ]xq¶½m}¡{x¶s=|~s}¶ }z{xm±Æz{os=| }xkr És¶ {s |~µsM6¿Às¤ }xqxqzx±²s |7}xR½]z~oqxq} k]·zz{oqs µ}|{}z~]x±:z{oqsMs Rs Hm&s x`z~µs| Fs|{sx]z|{sM}¶) M}z{xk ¹noqsA Fsz¿s }x´m"z~msz{r6}z{s z~oqs}|{z{&·¶}|µ}¶·qsM¿"o oz{oqs 1 i}xk: 7 1 z~}ÅsÀ±²|z{oqs]µ]s xA|~s}¶ }z{9 x ;x¡z{oqs|:¿À]|~qx z~oqs7sMz~r6}z~]x3q|{] q¶s r ¿s7r3o`2 z·z}h¿Às¶¶z~|{sM}ziz~oqs 1 À}x< 7 1 V}]i·qxqÅRxq¿"x6 xz~}x]z ¹ noqs»k}| }r3s&z~|{ r3s¶xq2±s&z~s |~r3xqz{°|~}xr 2 Éks ¶q6¿"oq`s»{ksMBz{| }¶"r3sM}{·q|{sM3}|~s x s x`z{| }z~s3]xm&·q|~µsMhz~oqs |Vz{o}x ¶xsh±Æ|~}z{x}¶k{¶]ks]]]|À~&|~s&z{sk]x`z Vx6z{os7±²|~sÈ`·qs xk&½ ¶}xqs7z{¶¶Æ}x]ksxÈ`·qsMz~]xz{z{oqs Fsz7±·q|"ÅRxq¿"¶sqs¹ #s x sz{oqs {s |~µsM´z~s&³Rz{·|{s6Éks ¶U

(69) )m·qxqÈ`·qs ¶½@|~s |{sMsx]z~s R½¾z~oqsm]|z~oq]x}¶ qs&]r3k`z{x

(70) T (

(71) ! .

(72) *!>= ,7_ / a 14ced , _ / ab1

(73) {¹ noR·hz~oqs°q|~ q¶s r ±ÀsMz~r6}z~x z~oqsz{s&³Rz~·q|{s3r3s ¶ik}| }r3s&z~s | O Fs&]r3s¤xs¡f ±Àsz{r6}z~xqz~oqs3}| }r3s&z~s | ± z~oqsok}|~r]xq"}x3sµj}xqs~&sx`zÀ&]rFxs x`z~V±z{os7És¶3x6z{osq|~s{s x s7±Æ}x6·qxqÅRxq¿"xm&]¶]|{sM xsÀs xs | }z{sM R½¤z{oqsq·q|~s ¶½` xs z{s|{r3xqz{&r3Fxqsx`z x`z{¶½¿"¸z~o¡sMz~r6}z{xq7z~oqsq·q|~s ¶½] xs z{s|{r3xqz{&]r3k]xqs x`z"}| }r3s z{s | ¹. *{{ksMBz{|. ïÜÆïòí.

(74)

(75) . . . ': !

(76) ¤:&,. !#"

(77) $&%')( *,+-. , *. 5,67-.

(78) A

(79) ! "'. nosr3q¶sr3s x`z~}z{x ±=}¾r·q¶z{r3s}2q}z }¾|~s&z~|{s µ}¶{½Rz{sr4¿"oqs |~s°q}z }´xs&³xq3 }]sM ]x z{oqs°z~s&³Rz{·q| }¶q|{]ks|z~sM3±=z{oqs¾r6}]s |~½ &]r3k]xqs x`z~3±¤z{oqs´q}z~}2|~s | q À|{s¶smx z{oqs s ³z{sx&s±} |~ q·kz¤sz{r6}z{x2}¶]|{z{or ±hz~oqsz{s&³Rz~·q|{s3r3s ¶ik}| }r3s&z~s | ¹no=x&s r3q·z }z~]x ±z~oqs¾z }x s° ks z¿Àss xT}xR½z¿z{s&³Rz~·q|{sM6|~sÈ`·q|{sMz~oqs¾{·q z{z{·z~]x ±=z{oqs| sMz~r6}z{s}|~}rs z{|~r3s ¶"x]z~6]rsz~}xk&s¤r3s}{·q|~s¹ vyx ¢jRR¢¦ Á¿sqs µs¶]ksM}=&]xz{x}¶`r6}³Rr·r¡Á¶Å]s ¶oqRA}¶]|~¸z~oqr ±²|Fx`z{¶½sz{r3}z xq"z~oqsh}|~}r3s&z{s|~O±Rz{oqsÀo}|~r3xqs µ}xqsM{ s x`z}x¤q·q|~s ¶½` xs z{s |~r3xz{i&]rFxs x`z~K±Rz{oqs z~s&³Rz{·|{s]¹ÀvÁz7{oq¿"xz{o}z R½ x`z{|~Rq·&xqm}q|{]q|~}z{s¤}| }r3s z{s |z~|~}x±²|~r3}z{xÀz~oqsAoqoq¶½ xxq¶xs}|¶sM}zy{È`·}|{sMº G ¼7q|~ q¶s rÃz{o}z|~s{·q¶z~±²|~rr6}³r3 xq6z~oqs¡ xz{xk}¶K¶Ås& ¶oqRR´±²·qx&z{xz{| }xk±²]|{r3s´x`z{°}s}| } q¶T s G& q|~ q¶s r°¹ #s x sOz~oqs6&r3q·qz~}z~]x}¶ r3q¶s&³z½@±7z{oqs|{sMÈ`·q|~s2xR·qr3s|{ }¶Àr3xqr3 }z{x |~sq·&sM x¸Ék}x`z{¶½¹@vyxz{os z~|~}x ±²]|{r3sM¡|{] q¶sr ]xq¶½z{oqsFs&z{| }¶{·qqF|{zh}| }r3s z{s | :±Fz{oss&z~s |~r3xqz{7&]rFxs x`z~:sx]z~s | xxÁ¶xqsM}|~¶½=x`z~z~oqsz{| }x±²|~r3sr3s ¶RsMÈ]·k}z{xK¹noR·}{¶·z{x±²|z{oqs·qxÅ`x¿"x¡{ksMBz{| }¶ {·qqF|{z~V±Oz{oso}|{r3x"}x3s µ}xs~&s x`zÀ r3Fxqsx]z i|~s· shz{oqsq|{] q¶s r ±K]¶µRxq¤±²|Vz{oqs z~|~}x±²|~rsMm}|~}r3s&z{s|~±Kz{os¤És ¶z{6¶xqsM}|¶s}z~È]·k}|~s¹ Gs µs|z~oqs ¶s~z~oq}¶]|{z{orÓz{¶¶F|~sÈ`·q|{sM:z{oqs=r3xr3 }z~]xm±K}AxqxyÈ`·}q|~}z{"&]zV±²·xB z~]x»¿"¸z~o´|~s{ksMBz"z{mz{oqsFs&z{| }¶K{·qqF|{z}|~}rs z{s|~"±:z{oqsAok}|~r]xq}x°sµj}xqs~&sx`z&]r¡ Fxs x`z~¹ xk&s¤z{osMz~r6}z~|x`µ]¶µsMÀ}r·¶¸z~¸yrsx{]x}¶{s}| o xz{oqs}|~}r3s&z{s|{}]&s¤¸z ixqzhq| }Bz~}¶R±²]|V}¤q}z } }]s|~s&z{|~s µ}¶q}qq¶}z{xK¿"oqs|{s"{oq|{zh|{sMFxksz{r3s"hr3}xq}z{|~½¹ Âsz{oqs|{s ±²|~smq|~s{s x`zx z~oq¡k}Fs |3}@{·q Fz~r6}¶ºQ|{s¶}z{µsmz~´z~oqs°r3}³r¡·qr ¶Ås¶oqR sMz~r6}z{|B¼B ·zh&r3q·qz~}z~]x}¶¶½= s Hm&s x`z:}¶]|~¸z~oqr ºQ{xk&sxq=r·q¶z{Áqr3s xkx}¶`{s}|~ ox¡z{oqs k}| }r3s&z~s |¤}]&s=|~sÈ`·q|{sM¼BO±²]|¤sz{r3}z{xqz{oqsz~s&³Rz{·q|~srs¶i}| }r3s z{s | ¹Anoqs3q|{]k`sM }¶]|~¸z~oqrs r3q¶½R7z{oqss&³Fs |~r3sx]z }¶ {s |~µ}z~]x°z{o}zx¾x}z{·q| }¶Kz{s&³Rz~·q|{sM7z~oqs3s&z~s |~rxqz~ r3Fxqsx]z&]x`z~}x=o}|{r3x¡&r3Fxqsx`z~ =s µ}xs~&s x`z¤&r3Fxqsx`z~Æ q·zxqz¤ Fz~oÆ¹¡no ] {s |~µj}z{xs x} q¶sM·z{m x{s | } q¶½m{r3q¶¸±²½ z{oqssMz~r6}z{xq|{ s·q|~s¹ Gs&³RzR¿s q|~s ½3·qr3r6}|~ s"z~oqs={·q]sz{sM3}¶|~z{oqr }xmx`z{|~· s]r3sxqsM&s~~}|~½xqz~} z~]x¹:nosÉ| zz{s ±Kz{oqs¤}¶]|{z{oqr }Az~szÀ±²]|Vz~oqs¤s&³z{sx&s±qs&z{s|{r3xqz~¤&]r3k]xqs x`z~ x@z{oqs3 ks|{µ]s»z~s&³Rz{·|{s]¹noq=z{sMzr3¶}|=z~z~oqs6xs¡q|~F]{s¾x ¢ Á¹ xk&sz{oqsmqs&z{s| r3xqz~A r3Fxqsx]z7]µ]s"|~s¤z~mxq·¶}|{z{sAº¢&y+}xk´¥jy+s ¶z~}X±²·xBz~]x~¼"x°z~oqs{ksMBz{| }¶ qr6}xÆF¸z = x`z{|~ q·z{x¾r3}j½ Fs¡sµj}¶·k}z{sM» R½»}6z{o|{sMoq]¶qxqq|~R s·|{sA]x¾} {FsBz~|~}¶qs x {z½sz{r6}z~s ¹ q]|iz{oqsq·q|~k`s"±Fz~oqiz{sMzM]¿s"·{s"z{os7ks|{]|~}r°¿"oq o6xRµ]¶µ]si~}r3q¶x ±iz{oqs3{ksMBz{| }¶:]r3}x}z¤~&|~s&z~sFx`z~¹¤nos |~s&±²|~skz{os3qs&z{s|{r3xqz~¡&r3Fxqsx`z=r6}j½° ks }qq|~j³r6}z~s R½}m ¶¶sMBz~]x±V¥jy {xR·{q"¿"oq o»µs|~sz~¥jy qs ¶z~}3±²·qxkBz{xk7x»z{oqs {FsBz~|~}¶k]r6}xÆ¹ino`·k Rs}] o6s µ}xs~&s x`z&r3Fxqsx`z=º²¿"o]{s *{Fs&z{| }¶kqs x{¸z9 ½ ,7}m¢ Á s ¶z~} ±²·xBz~]xk¼"}qq|~j³Rr6}z~s ±²|7z~oqsAq·|{F]{s±:z{oz{sMz R½°}6¶xqsM}| r¡ qxk}z{x°±:ok}|~r]xq r3Fxqsx]z º²¿"oq`s *{Fs&z{| }¶sxz{s- ,¤}|~s¥jyds ¶z~}±²·qxkBz{xk~¼&¹ vyx3| s|:z{sz{r6}z~sz{oqs7s z{s|{r3xqz{"&]r3k]xqs x`z~¿sÉ| zV oqR`s"}=z{o|{sMoq]¶}xk}]r3¸z }¶¶V±²|{sMÈ`·qs x sMA¿"oqs|{smz{oqsmFs |~Rq| }r ¡} Fµs3z~oqsmz~oq|{sMo¶}qs&z{s|{r3xqz~m r3Fxqsx]z ±²|~sÈ`·qsx&s¹nosz{oq|~s{oq¶r·zh Fs7 }|~s&±²·¶¶½ oq`sx{· oz{o}zFºQ}]¼¿s"s&³Rz~|~}]Bzixq¶½Az~oqs7{o}|~ Fs}Åx°z~oqsks|{]|~}r°R}x2º² k¼z{oqsxR·qr¡ ks|7±:o}|~r3xq ] z~}xs7}6{r6}¶¶±²| }Bz~]x± z~oqs¡z{z }¶xR·qr Fs |=±À. :nd qx¹¤nos¡¶}z{z{s |¤&]xz{x´=|{sMÈ`·q|~s° Fs}·{sFz~oqs ]|{s z{ }¶¶½Fz{oqs. ÜÜåX'Bø.

(80) !

(81) W

(82) + £. {·qqF|{zV±z{oqs=s&z~s |~rxqz~&r3Fxqsx`zÀh± Ks Fs{·qsrsM}{·q|~s s |~Ax3z{oqs=Fs&z{| }¶Fr6}xÆ¹ Ó]`@ oq&s±Àz{oq|~s{oq¶ }x@ ks3] z~}xqsM¾ R½´¶zz{xqz{os¡z~oq|~s{oq¶¾}]}xzz~oqs3xR·qr Fs | ±s z{s |~r3xz{ r3Fxqsx]z¡±²|{sMÈ`·qs x sM]µ]s x R½2z~o}zz{oq|~s{oq]¶¹2vÁz6¡{oq¿"x x ¢ z~o}z ¿"os x»}¡z{s&³Rz~·q|{sok}7}3s z{s |~r3xz{&]rFxs x`z"z{oqs¶z7s&³oq q¸z 7}3|~s ¶}z{µs¶½ k}z7|~s ]]x}xk }{o}|~ *Å`xs s xs}| s |~Oxk}z~xqz{os¡q|~s{s xk&s±À{o}|~´Fs}ÅR=x´z~oqs3ks|{]|~}r¹noqs z~oq|~s{oq¶mÀz{oqsx oq`sxmxmz{os=|~s ¶}z~µ]s ¶½ k}zk]|z~]x ¶`sz{¡z{oqs¤ÅRxqssxmz~oqs&·q|~µs]¹iÇxz{oqs z{oqs|Àok}x`z~oqs¶zV±²|"}q·q|~s ¶½]Áxs&z~s |~r3xqz{º²| }xkr ¶`]ÅRxqR¼:z~s&³Rz{·q|~sok}}{¶¿.sM }j½ x }z{xqmz~oqs6} {s xk&s±Às z{s |~r3xz{¡ r3Fxqsx]z ¹¤Âs¡|~s&±²s|z~oqsx`z{s|{sMz~s¾|{sM}s|7z{ ¢ ±²]|7}qq¸z~]x}¶Æs z~}¶ ¹ vyx }{s6s&³z~s x sm±7}»s z{s |~r3xz{m&]r3k]xqs x`zAsMz } q¶{oqsMi}»sM&xkz{sz}qq¶sM z~6z{xq]·q{omz~oqso}|{r3x±²|{]r z{oqs¤sµj}xqs~&sx`z r3k]xqs x`z ¹hnoqs=q|~F]{smz{sz"s r3q¶½} r3Ésµ]s | x±Fz{oqs #7·oz{| }x±²|~rd±²]|Vs&z~s&z{xq¶xqsMhx6¥Á }|~|~}j½¹Knoqir3Rq¸Ék}z~]x 7 k}{s°x´z{oqs ?W.Y!KÅRxq¿"¶s]s¤z{o}zz~oqs¡{ksMBz~|~}¶{·qqF|{z±hsM} o»xsA±iz~oqssµj}xqs~&sx`z r3Fxqsx]z ¤}¶xqs6xz~oqs3±²|{sMÈ`·qs x ½´q¶}xqsm{· o@z{o}zA¸z A{¶]ks6s&Ékxqs R½´z¿»&|{r3s x`z{ss | H }x Jh¹Kvyx¤z~oqsiq|~s{s x si±Rs µ}xs~&s x`zK r3k]xqs x`z z{oqsiFs |~Rq| }r ksM}Ås x`z{ÉsM R½z{oqs7|{sµ`·k:z{sMzM]}|~s7&]x&sx`z{| }z{sM¡}¶]xq¶xqsM ¹hÇxm}=Éxqz{sr3sxx6] {s |~µsÉs¶]xq¶½ }"Éxqz{shxR·qr¡ ks|K± 4H J Fk}|~r6}j½= ksÀs&Éxs¹ºQnoqÆK{x& s H}xkg Jm}|~shx`z~s s|~Æ|{sq|{sMsx`z{xq qz~}x&sMh Fs&z¿s s x&xksM&·z~µ]s{}r3q¶sMV}¶]xqz{os *|{¿7- ,}x * ¶·qr3x# ,7s&Éxs6¿"z{om|~s{FsBz z~3z{oqsA\ G # z{z~}¶Á| s |~x¡s Éxqz{D x HI JkIZ¼B¹noqs |~s&±²]|{s]R±²|7]µ]s x°r3sxxk"±z{oqs ] {s |~µsÉs ¶¿s{s}|~ o¡}r3xq=}¶¶k`{{ q¶s&]r qx}z{x±kz{oqs"{ksMBz{| }¶R{·qqF|{z:k}| }r3s&z~s | HT}x J ±²]|z~oqs3}| \ ± HI Jk"z{o}z¤ Fszs&³q¶}x¾z~oqs6&]x&sx]z~|~}z{x´±VFs}Å}¶]xq ¶xs¤x z~oqs¡±²|{sMÈ]·s x ½»q¶}xqs¹vÁ±}z¤¶sM}z=]xqs{· o´¶xqs3±²·x»z~oqs6s&z~s |~rxqz~És¶¾¤&]x{s|{sM z~ Fsz{oqs6{·qr1±Às µ}xqs~&sx]z&]r3k]xqs x`z~¹Çz~oqs |~¿"{s¿s3&xk&¶·sz{o}zz~oqs6Fs&z{| }¶iFs}ÅR }|{s]¶}z{s º , z{os ½ }|{sxqz }¶]xqs }¶xq¶xqsM~¼3}x oqs x s°z{oqs½ }|~s»·qs°z~ok}|~r]xq r3Fxqsx]z ¹ ¶¶¿"xq=z{oqVqs&{]xr6}Å`xqAz{sÆ¿sz{·q|~xz{z~oqs}]Bz{·k}¶sz{r6}z~]x±Oz{oqs r3Fxqsx]z k}| }r3s&z~|{r3s¶¹ vyx }]sz~oqsm ks|{µ]s»z~s&³Rz{·|{s6¿}¤±²]·qx R½´z~oqs3±²|~s ]xqz¿Àz{sMz ¤z{ x`z~}x3o}|{r3]xq r3k]xqs x`z ]¿Às"sr¶½}x3¸z~s | }z~µ]s"q|{ s·q|~sz{AsMz~r6}z{sz{os"z{s ³`z~·q|~s7} | }r3s z{s | ¹Kvyx6s}] o¡z{s|~}z{xz{os"±²|{sMÈ`·qs x ½±Fz~oqs]r3x}x`zho}|~r3xq&r3Fxqsx`zhVsz{r3}z{sM R½ 5 1 1 * Q lQ

(83) % ºQ¦]¼ ,

(84) / 1

(85) R½( 5 1 1 m}x.s µ}¶·}z~x. Ä»·q¶¸z~¶½Rxq z~oqs {s |~µsM.xk}¶ z~oqs@r3sM}x ±Az{o { x}¶K¿s qz~}x¾}x»sz{r3}z{s¡±iz{os}r¶z{·qs¡&Rs H6 sx`z 1 ¹=noq=x sAz{osr3s}x´±V}¶¶ z~oqs ]{xR·{q}¶}x xR·]}¶z~s |~r3À±

(86) ) 5 1 1 K2 z{sxqVz{ s |~A¿"oq¶s7z{os z{s |~r z~s xz{ 1 ¹hno`·k 2. }xr3¶}|~¶½. 2 7. 1. . 1. . . . . +. . +. -. . -. . +. . -. +. . -.

(87) ) 5 1 1 . º ¼.

(88) ! R5 5 1 1 . ºQ£]¼. ïÜÆïòí.

(89)

(90) . . !#"

(91) $&%')( *,+-. ¿"os |~sz~oqs6r3sxxk±Vz~oqs3 {s |~µsM»r6}s3}|~s Ó¹TG7s ³Rz¤¿s6· z{| }&zz~oqs3sz{r3}z{sM ok}|~r]xq7&]rFxs x`zV±²|~rÓz{os ks|{µ]s6{]x}$¶

(92) }xm|~s Fs}zhz{oqq|~R s·|{s7z{s|~}z{µs¶½ ·x]z~¶Æ}¶¶Oo}|{r3]xq=&]r3k]xqs x`z~¿"oq`s=r6}]xq¸z~·s=oqos |z{o}x z~oqs=±²|~s ]xqAz~szz~oq|~s{oq¶ }|{s=s&³Rz~|~}]Bz{sM¹inoqs|~s{·k}¶OÉs¶z{oqsq·|{s¶½`Áxqs&z{s|{r3xqz~¤&]r3k]xqs x`z"±z{oqs¤z~s&³Rz{·|{s]¹ vyx» }]sz{os=] {s |~µsmz{s ³`z~·q|~s¿}À±²·x `½mz{oqs=±²|~s ]xqAz¿¡z{sz~z~6&x`z }xsµj}xqs~&sx`z r3Fxqsx]z ¿Àssr¶½ z{oqsAsMz~r6}z{x°q|~R s·|{sAs|{µsMx ä¥ Gz{msMz~r6}z~s¤z{oqs|}| }r3s z~s | ¹inoqsz{r6}z{x q|{ s·q|~ssr3q¶½Vz{oqs¤q|~Fs |{z{sÀ±Kz{oqs¤&µ}|~}x s7r6}z{|~³3±Æz{osÉks ¶ qs&z{s|{r3xqz~¡&r3Fxqsx`z ¹ Ks&z·ksxqz~sAz~oqsxR·qr¡ ks|±hsµ}xqsM{ s x`z&]r3k]xqs x`z~±:z~oqsÉks ¶ R ½ 6¹ivÁz7z~oqs x»{oq¿"xx ¥ Gz{ok}z7xz~oqsA} ksx&s¤±:}3q·q|~s ¶½` xs z{s |~r3xz{¤&r3Fxqsx`z. S =

(93) B 6 H 6 !=

(94) B 6 J 6 ; B=

(95) B 6 H 6 =