Bitwise Regularity Coefficients as a Tool for Deception Analysis of a Genetic Algorithm
51
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Bitwise regularity coefficients as a tool for deception analysis of a Genetic Algorithm Benoˆıt Leblanc, Evelyne Lutton. N ˚ 3274 October 1st 1997 ` THEME 4. ISSN 0249-6399. apport de recherche.
(3)
(4)
(5)
(6) !" $#%& ' )(*
(7) ,+ $" -. # #/. 0 /(1324 $# 5768 /
(8) 9;: <>=@?BADCFE;GH=@IJLK?NMOQPSRT=UJFV?B=WGHX EYEZA[?]\ ^_D`5acbedfhgjika>lnmFoqpriksutcbpHsZvnpwikaciyxozpwiysZt { b|xw}jxwpw`5acb5x~5sZacvDmkb jb5x NwsZb pH Q"^e"g Ho*vnv[sup { bSrb5~_nb5r~_nbtuuzd.fhe~ pwsu[b5 xwpSYuUSf!djvo*Zb5x cB Yq[*u bvnrb5xwb5t@p.ikt pr_nikxcv[ozv[b5o¡pr_nb5sZrb pwiy~qozmozt[ozmk}jxrikx'pw_ozp.rb5m¢ozpwb5xozt1ikrrb5ZlDm¢o*wikp£} ca bqo*xwlDwbs*¤$oc¥npwtnb5xrx¤¢lDtn~ pwiksut¦pwspw_Db'xrsZ§¨~qo*mkmkb {)© H§ { b5~5b5vnpwiksutTª>^_DikxSo*vnvDws@oz~_«ikx/o.~5sZtnpwiktjloz§ pwiysZt¬s*¤osZr®Wpw_[oqp>_o*xvnrb5xwb5t@pwb { o { b5~5b5v¯pwiksut o*to*m°}¯xwiyx/sZ¤e±$²um { b5/¤¢lDtn~ pwiysZtnxqª³^$_nbo*to*m°}jxrikx { b ´Ub5mksuv[b { _nb5rb"iyxNo$Zb5tnb5o*mkikµqozpwiysZtsZ¤npw_niyx sur®iyt/p sH$o5}jx¶·b ¥DrxwpBlnxrbo¸£ni°p$ikxrb wb5ulnm¢o*ri°p£}j¹ iktDxprbqo { s*¤o³±$²um { b5/b jv[sutnb5t@p'o*x'oozxrikx/¤FsZ>suln { b5~5b5v¯pwiysZtºo*tozmk}jxrikxq»xrb5~5sut { » b.v[b5¤Fsuwa o xrikaciym¢oz { b5~5b5vnpwiksut o*to*m°}jxrikx|sZ¤$o © ¼$ikpw_lntDi°¤FsZra½~5wsuxrxwsq´Ub5Yª'¦b'¥Dto*mkmk}WvDwsuv[suxwb>pwsWlnxrbpw_nb nikp£$iyxwb$wb5ulnmFozri°p}~5s@b ¾c~5ikb5t@pwx"iyt'su { b5Qpws>ozto*m°}¯µ5bpr_nbHikt¯¿lnb5tn~5bHs*¤o~_nrsZacsuxrsZacb b5tn~5s { iktnsZt pw_Db © Àb ¾c~5ikb5tn~ }U»·ozt { vDwb5xrb5tUpHb jv[b5rikacb5tUprx $i°pw_;Di°pwx$v[b5wa>lnpozpwiksutnx$o*t {¡© o5}.b5tn~5s { iytnDª ÁÂjÃÅÄwÆ/ÇZÈ* © b5tnb prik~;emkusZrikpw_nacxq» sZvnpwikaciyµqoqpriksZt »nikp£Hikxrbcwb5ulnm¢o*ri°p}u» { b5~ b5vnpwiksut1o*to*m°}jxrikxq» ¤Foz~ po*mkxq»±$²um { b5¤¢lDtn~ pwiksutnxqª ÉyÊ Ë£ÌÍYÎËÏ ÐÑÌÓÒLÔYÕ Ö ×[ØÙzÚÛ ÜwÝ ÞuØwßqàâáÙzãräÛåÙzæ¨ÛåázÝ çÑæèqéê Øwà ëqÙzØ Ý ÞUìYܨÜLÚÙZäÛåÙzæíÛâázÝ ç°æÓè î ï ïð[ñFò òróó ó*ôÓõYö5÷wøDùíúû õzúü¯ùký õYòrýõqü ÷wïYü5þÿ ò . 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.
(9) ¦ $0 ! $# + 7
(10) . /
(11) ;r;r8 : : ½ c + #/. + + H -.
(12) c -¡
(13) 8# 68 /
(14) r9;: &2H# . ¯ À $sulnx>vn5xrb5tUpwsutnx>iy~5i lDtnb³o*tozmk}jxrbcpr_5sZri jlnb @lniv[b5racb p { b.rb5mkiyb5lDtnb;acb5xrlnrb { ikr 5ulnmFozri°p { lntnb'¤FsZtD~ pwiksut { b>¥nprtnb5xr"x !lDtnb'tDs*priksut { b { i°¾c~5lnmk p $#ísul { 5~5b vnpwi°´¯i°p &%|v[sZlD/mkb5x emyZsuwikpw_nacb5x © 5t pw'i @lnb5(x #í © %*ª )o*tnx { b5x pwo5´Zo*l¯;o*tUp 5wiyb lDwx tnsulnx$o5´jiksutnx { ´Ub5mksuvnv+elDtnb|o*toz§ m°}¯xrb { b"m¢o { 5~5b5v¯pwik´ji°p { b5x¤¢sutn~ pwiysZtDxQ±$²um { 5rikb5tntDb5xY»YmFovD 5xrb5tUprb ozt[ozm°}¯xrb b5t/b5xwplntnb", 5t 5o*mkikxozpwiksut xrb5mksut { b5l¯|´usuikb5x¶ÅvDwb5aciy`5wb5acb5t@ptDsZlDxb5acvDmksq}usutnxTmFo ¸L 5ulnm¢o*ri° p Qni°p !nikp¹ o*lSmkikb5l { lntSb jv·sZxozt@p { b.±$²um { b5S~5suacacb/acb5xrlnrb { iyw 5ulnm¢o*wik p "!;m¢o.o*xrb { b m o*to*m°}¯xwb { b { 5~5b vnpwi°´¯i° p u» b5tDxwlDi°pwb tnsulnx pwb5t { sZtDxm o*tozmk}jxrb { b { 5~5b5v¯pri°´jik p -!'lntW © o ´Ub5~/~5rsZiyxrb acb5t@p$lntDi°¤FsZracbuª"b pwpwb'ozvDvnrs@~_nbtnsulnx v[b5racb p { bevnrsZv·sZxrb5"m b5acvnmksui { b5x ~5s@b ¾c~ iyb5tUpwx { be 5ulnmFozri° p $ni°.p !/nikp"~5sZacacbsul¯pwiym { ´Zo*mkl[oqpwiysZt { bHm ikt¯¿lnb5tn~5b { lc~5s { o*ub { b5x"~_Dwsuacsuxwsuacb5xBxrln m b ¾ ~qo*~5i° p { bem © /ª $sulnx vDws { lniyxwsutn0x jlnb5 m jlnb5x b ¯+v 5wiyb5tn~5b5xxrlnmyb x$v[b5wa'l¯pozpwiksutnx { bSDi°pwx$b p$mkb|~5s { o*ub { b © o5}Uª 1 ÇDzÄ/ 23¦ emkusZri°pw_Dacb5x © 5t pr i @lDb5xY»nsuv¯pwiyacikxoqpriksutT»U 5ulnm¢o*ri° p eDi°4 p !nikpY»o*tozmk}jxrb { b { ~5b5vn§ pwik´jik p u»¯¤¢o*~ po*mkb5xq»j¤Fsutn~ pwiysZtDxe±$²um { 5wiyb tDtnb5xqª.
(15)
(16) !"#
(17) $ %'& )(' * ,+- !.!/01. . #
(18) c+;;N #54 ^_Db5sZrb pwik~qo*mTikt@´ub5xwpwiyUozpwiksutnxHsut © b5tnb pwiy~SemkusZri°pr_nacx # © %o*t { B´usumkl¯priksutozw}.emyZsuri°pw_nacx #LN % ikt ub5tnb5ozm[~5sutn~5b5rtcaoziytnm°}/~5sutU´Ub5wub5tn~5b|o*to*m°}¯xwiyx4#Lo*t { ~5sZt@´ub5rub5tn~5bexrv[b5b { ozt[ozm°}¯xrikxQsZtoSmks@~qo*mkmk} ~5sutU´Ub sZv¯prika>lDa¤¢suN %»ikt¯¿DlDb5tn~5b/sZ¤pw_nbvozo*acb pwb5rxY»o*t {¡© H§L_o* { tnb5xrxozto*m°}¯xwiyxqª" Dsu © » sulnao*ikt~5sZtD~ b5rt_Db5wbu»¯pw_Db5xwbo*to*m°}¯xwb5xHo*rb[ozxrb { sut { i 6·b5rb5tUpozvnvDws@o*~_nb5xS¶ t 8Wo*w®usq´~_[oziytacs { b5mkiytn; :0<@»¯»TU»=?>£ª 7 Nwsjs*¤FxsZ¤B~5sZt@´ub5rub5tn~5b/o*xrb { su9 7 )Hb5~5b5v¯pwik´ub|¤FlntD~ pwiksutnxozt[ozmk}jxrikxq»j[ozxrb { sut¡g@~_Db5ao>ozt[ozmk}jxrikxHo*t { ±$sumkmFozt { xsuwiyZiytozmÅpr_nb5sZw} :k5dn/» @¯»Tj»NZ >£»[H_nik~_¡~_ozo*~ pwb5rikµ5b5xepr_nbb ¾ ~5ikb5tD~ }WsZ¤ o © »Åo*t { o*mkmysYHxHpws;xr_nb { mkiyZ_@psZt ¸ © H§L_o* { ¹e¤Flntn~ pwiysZtDxYª 7 g@sZacbWoqpr_nb5tDb o*vnvnrsUo*~_nb5x¡ozrb«[ozxrb { sutÀo*t]b ¯vnmkiy~5i°pa.s { b5myikµqoqpriksut s*¤'o © o*xWo { }jt[ozaciy~Yo*m[xw}jxwpwb5A a :k% <@»u >£ª )Hb5~5b5vnpwiksut;_o*x ·b b5tikt@pwlnikpwi°´Ub5m°}cwb5mFoqpwb { pwspw_nb|niysZmysZuik~qo*m[tnsZpwiksut.sZ¤b5vDikxwpozxrikB x :0C?>£»UH_nik~_~qozt [bclDt { b5rxprs@s { ozx'oxwsuwp/s*¤ ¸£tnsZtn§¨myiktnbqo*ri°p£}j¹ { b5uwb5buEª DLp>~qo*t o*mkxrs[b wb5mFoqprb { »pws³pw_nbcxrs~qo*mkmkb { ¸L¥npwtDb xrxHm¢o*t { xr~qo*v[b ¹Sozt[ozmk}jxrb5x #íxrb5b|¤FsZb DozacvDmkFb :yY? > %ª D£tWo*tU}c$o5}jxq»ni°po*xrik~qozmym°} { b5v[b5t { xHsZt/¶ 7 pw_nbSvo*ozacb pwb5xrb ppwiytn s*¤pw_Db © » 7 pw_nbSxr_o*v[bsZ¤pw_nb|¤Flntn~ priksutprs'[b|sZvnpwikaciyµ5b { » 7 pw_nbS~_nrsuacsZxrsuacb$b5tD~5s { iytn;»niLª buªpw_nb|¹¨o5}@¹sZ¤Nxr~qoztDtniktDpw_nbSxrbqo*w~_;xrvo*~5buª D£t¡ovnrb ´jiysZlnx sZrG ® :kz >Ti°p_o*x[b5b5t;vnrsq´ub5tpw_[oqpHxwsuacb$pws@sumkxq»¯pw_ozp_o5´UbS[b5b t { b ´ub5mksuv[b { ikt pw_Db ¤¢o*acb suw®esZ¤¤¢o*~ po*m@pr_nb5su}U»U~qozt[b lnxrb { iktsZ { b5prsewb ¥tnbo { b5~5b5v¯pwiysZtcozto*m°}¯xrikxs*¤ © b5tDb pwik~ emyZsuwikpw_nacxqªT^_niyx sZr®>_o*xaoziytnm°}wb5mFoqprb { o*t.ikrrb5ZlDm¢o*wikp£}>acbqozxrlnrb #£±$²Zm { b5"b ¯v[sZtDb5tUp % sZ¤Tpw_nb ¤Flntn~ priksut1pws)[bWsuv¯pwiyacikµ5b { pws¬i°pwx { b5~5b vnpwi°´Ub5tnb5xrxYª b³¥Drxpcrb5~qozmkmHiytºxrb5~ pwiksut]¡pw_nb5xrbWwb5xrlnmkpwxq» pw_[oqpozmymksq pws;acs { b5mpw_nb ikt¯¿lnb5tn~5b>sZ¤"xrsZacbs*¤ pw_nb © ¼v[ozo*acb pwb5wxqªS^_nb>a;oziktW_@}jv[sZpw_nb5xrikx|s*¤ pw_DikxSvnrb ´jiysZlDxSo*to*m°}jxrikx|ikx|pw_[oqpSpr_nb>¥Dpwtnb5xrx|¤Flntn~ pwiysZt~qo*t[b>~5sutnxri { b5rb { o*x|pw_nb xozacvDmkiktDcs*¤$ozt lnt { b5rm°}jiytn;~5sZt@pwiktjlnsulnx±H²Zm { b5|¤¢lDtn~ pwiysZtT;ª D£txrb5~priksut¬. b'$iymkmpw_Db5tvnrb5xwb5t@poZb5tDb5o*mkiyµqoqpwiysZt sZ¤pw_nikx|sZr®³pw_ozp~5sutnxri { b rxo*tnsZpw_nb5rb ulnmFozri°p}Wa.bYo*xrlnrbs*¤ pw_nb ¥nprtnb5xrxS¤Flntn~ pwiysZt » pw_Dbcni°p$ikxrb rb5ZlDm¢o*wikp£}U»Dozt { $_niy~_ { s@b5x$tns*pHxwlDvnv[sup$pw_nb±$²um { b5_@}jv[sZpw_nb5xrikxeozt@}jacsuwbuª ^_Db © 1acs { b5mkb { iyt/pr_nikxB¤¢o*acb suw®|ikxpw_nbxrsZ§¨~qo*mkmkb { ~qoztnsutniy~qozm © »*iLª buªT$i°pr_vDwsuv[supriksutoqprb xrb5mkb5~ pwiysZ t #írsulnmkb pprb|$_nb5b5mTxrb5mkb5~ pwiksu+t %»nsZtnbSv·sZikt@p$~5rsZxrxrsq´ub5$o*t { a>lnpozpwiksutT»Doqp¥Djb { oqprb Ix H-JHo*t { HLK½o*mkmHo*mksutn«pw_nb © 4wlDtTª ^_niyx ozt[ozmk}jxrikx¥xpcxrlnuZb5xwpwx'pw_ozp.o¡xrikacvnmybcni°p wb5su { b5wiytn)ozx.ozt b5tn~5s { iktD>~_o*tnubSao } { b5~5wbqo*xrb { b ~5b5vnpwiksu
(19) t Mnb jv·b riyacb t@pwx$o*wbevDwb5xrb5tUprb { iktxwb5~ priksutd>pw_ozpxw_DsY pw_Db ´uozmyi { ikp£}b jpwb5tUprxBs*¤Dpw_niyxBo*to*m°}¯xwiyxYNª D£txrb5~ pwiksuFt CbQpw_nb5tvnrb5xwb5t@pBoxrikacikmFoz·pw_nb5surbprik~qo*m¯o*to*m°}jxrikx ¤FsZeo~qo*tnsZtDik~qo*m © À$ikpw_lntni°¤Fsuwa~5rsuxwxrsq´ub5q»@H_nik~_;iyx$ozt;suv[b5ozpwsupw_[oqpikxmFozrub5m°} lDxwb { iytrbqo*m sZrm { ozvDvnmkiy~YozpwiysZtDxYª O"b5xwi { b5x pw_Dbikt@pwlnikpwi°´Ub;¤¨oz~ pcpr_ozp.i°pcwb5mFoqpwb5x'pw_nbWiywrb5ZlDm¢o*wikp£})sZ¤pr_nb;¥nprtnb5xrx ¤¢lDtn~ pwiksut1pwsikpwx ¸ { i°¾c~5lnmkp£}@¹r»*sZtDb ikacv[suwpozt@p o*vnvDmkik~qozpwiksut/sZ¤¯pw_niyxpw_nb5suwb pwiy~qozmnozt[ozmk}jxrikxTikx pw_ozpBi°pvDwsq´¯i { b5xBoacbqo*t|pws ¸£acbqozxrlnrb ¹ #ísZ¤Å~5sulnrxrbpwso~5b5wpo*ikt b @pwb5t@pY» { lDbprs|pw_nbHikt@pwriktnxrik~ mkikacikpozpwiksutnxBsZ¤ { b5~5b5v¯priksut pw_nb5su} % pw_Db/iktn¿Dlnb5tn~5bsZ¤Bpw_nb~_Dwsuacsuxwsuacbeb5tn~5s { iktDnªb/vnrb5xrb5tUpeiktWxwb5~ priksZPt <'xrsuacbb jv·b5wiyacb5tUpozpwiksutnx $ikpw_pw_nb © o5}.b5tn~5s { iktn'pw_ozp$vDwsq´Ub|pw_nbSiytUpwb5rb5xpq»ns*¤Bxrln~_Wo*t³o*vnvnrsUo*~_Tª 2. 3. QRQ TÙ S U V1W.
(20) d. !- R !/ !/
(21) I !. /
(22) ;#;+h#+h-;
(23)
(24) . ;¼ /
(25) G4 Dt¡pw_Dikx|xwb5~ pwiysZt« b"jlnik~®jm°}³rb5acikt { pw_nb { b ¥Dtnikpwiksutnx|s*¤xr~_nb5aoqpoj» { b5~5b5v¯pwiysZt)ozt { ±$²um { b5b¯v[sZ§ tnb5t@pwxqª. .
(26)
(27)
(28) !#"$%
(29) &' )(*+, -. /&0213. Dt¦pw_nb¤FozacbsZ¤ sulnSxwpwl { }u» b$iymkmBrb5xwpwrik~ psulnrxwb5mk´ub5x|pwspw_Db'~qo*xrb'sZ¤ pw_nbP !-!L © #Lo*mkxrs ~qo*mkmkb { 15 4 +" © %»[$_niy~_«oziyacxpws.¥Dt { pw_nbaozjiya>lnasZ¤"ocwbqo*mv[sZxri°pri°´UbS¤Flntn~ pwiysZt #í~qozmymkb { pw_nb 6 !/ N ¤FlntD~ pwiksut+% { b ¥Dtnb { sut;pw_DbSxwv[oz~5bSsZ¤Bnikto*w} xwpwriktDZx #£ozmyxws'~qozmkmyb { 87 94 94 %s*¤Bxrikµ5b;:£¶ <>=@?BA CEDF'GIHKJA LNM O P. ^_Db/ © _o*x$pw_nb|¤Fsumkmksq$iytn>xwpwb5vnx¶ uªe"rbYozpwiysZt sZ¤ o*t'iytni°pri¢ozm + +L !»jo|xrb pQsZ¤I!-(Q (L Tpw_ozpozrbrb5vnrb5xwb5t@pwb { @}'oSv[sZiytUp s*¤ ? A ªQ^$_nbSnikt[ozw}.rb5vnrb5xwb5t@pozpwiksutsZ¤No*tiyt { ik´ji { lozmÅikx$i°pwB x !- + H_nikmybei°pwxH~5suwrb5xrv[sZt { iktn v[sZiytUp"ikt.pw_nbxwbqo*w~_cxwv[oz~5beiyx"i°prx +07 !- + ªN^_Dbe~5sZrrb5xwv[sut { b5tD~5beZb5tDs*p}jv[Sb Rzvn_nb5tnsZp£}¯v[bSikx ozt;b5tn~5s { iktDT R { b5~5s { iktnD»npw_[oqpHao }.tDs*pozmko5}jx[bo>ni Ób5~ pwiysZt ª ¯ªe"sZa.vnl¯pozpwiysZts*¤pw_Db¥Dpwtnb5xrx$´Zo*mklDbe¤Fsu$bqo*~_iyt { i°´¯i { l[ozm£ª ¯ªeg@b5mkb5~ pwiysZt;sZ ¤ U7iyt { i°´¯i { lozmyx pws'Dlnikm { #o + !" + ⪠dDªeg@ln~5~5b5xrxwik´ubo*vnvnmkiy~qoqpriksutnx s*¤Tpr_nbH~5wsuxrxwsq´Ub5o*t { a>l¯poqpriksut>pws/pw_nbev[ozrb5tUpozm[v[sjsumDrb5xrlnm°pwiytnSikt pw_nb/~5rbqozpwiksutWs*¤Bpr_nb/v[suvnlDm¢ozpwiksutsZ¤Bpw_nb !- T !/ !Dª Ooz~®prsik¤ oxwpwsuvnvDiktnc~5ri°pwb5ri¢o _ozx$tnsZp$[b5b5trbqoz~_nb { #íub5tnb5ozmym°};o>Zik´ub5t;t@lDa>[b5s*¤Bub5tnb5oqpriksutnx %ª C¯ªHNt { ªB^_Dbeikt { i°´ji { lo*m[_o5´jiytnpw_nb|_niyZ_nb5xwp ¥npwtnb5xrx ´uozmylnbeikxb jpwoz~ pwb { ¤FrsZa0pw_DbH¥Dto*m·v[suvnln§ m¢ozpwiksut³ozxpw_nbSxrsZmyl¯pwiysZtpws'pw_nbSvDwsunmyb5aWª ^_Db  2¢Ân*S V¢ Ç W¦xwpwb5v³ikxHozxrb { sutWo>ozt { sZa8xr_nsZp$i°pr_rb5vnm¢o*~5b5acb5tUpsZ¤Nikt { i°´ji { lo*mkxiytsZ { b5 pwscDlnikm { pr_nb/v[ozrb5tUpozmv[s@sumLª oz~_³iyt { i°´¯i { lozmT_[ozx|o'xrb5mkb5~ pwiysZtWvnrsuo*nikmyi°p£};b @lo*mpwsi°pwxHrb5m¢oqpri°´Ub ¥nprtnb5xrx´uo*mkln-b #Fpw_Dikxacb pw_Ds { x$ikx~qo*mkmyb { pr_nYb X )!7 R * ! %·¶ Z\[^]_ C. < ]^`a%bScScd[Q]_ egif h%j < ]^`ka%bScScd[mln_. ^_DbZzÇ[q 'Ç o[Âj@»uo*vnvnmyikb { Hi°pw_>ovDwsuo*nikmyi°p} H-J sut~5sZlDvnmkb sZ¤Diyt { i°´¯i { l[ozmyxY»Yacikjb5xÅp se~_Dwsuacs*§ xrsZacb5xs*¤pw_Db"vo*rb5tUpwxBiyt/su { b5pwse~5rbqoqprb pw_Db p£ stnb s6·xrvnriktDZx¶To$v[suxri°pwiysZt/sutpw_nb~_Dwsuacsuxwsuacb ikx"o*t { suacm°}~_nsuxwb5tc[b p b5b5tWozt { [/:Kp H _ #¨bYo*~_csutnb$$i°pr_cb @lo*mvnrsZ[ozniymki°p}*%»Zpr_nb5tcpr_nb$xwpwriktDZx o*wb|b j~_[oztDZb { ¤Fwsuapw_Dikxv[suikt@pYªN^$_nikxikxpw_nb;!/ + !" 1 9 #¨xwb5b|¥Dulnrb &%ª ^_Db TY¯S VF Ç W iyxHpw_nb5t¦o*vnvnmyikb { pwsozmymrb5xrlnm°pwiytn tnb ikt { i°´¯i { l[ozmyxYª D£pSoz~ prxiktW~_[oztnuiktD pw_nb ´uo*mklnb|s*¤Bbqo*~_;ni°psu !- "sZ¤pw_nb|nikt[ozw}.xwpwriktn$ikpw_³oui°´Ub5tvDwsuo*nikmyi°p} HLK»nlnxrlo*mkm°} ´Ub5}.mysYª q5r Qsq5t.
(30)
(31) !"#
(32) $ %'& )(' * ,+- !.!/01 Parents. C. Offsprings. Cross point. BiyZlnrb'Z¶ etnbv[suikt@p$~5rsZxrxrsq´ub5qª. /. .
(33) %1 s&n . g@~_nb5aoqpo;_[ozx>·b b5t)$i { b5m°}xpwl { ikb { iktpr_nbc¥b5m { s*¤ © »Bo*t { o*rbcpw_Db.o*xrikx/sZ¤pr_nb { b5~ b5vnpwiksut *o to*m°}jxrikxqª0xw~_Db5ao'~5sZrrb5xwv[sut { xepwso.xwlDnxrb ps*¤ pr_nb>xrvo*~5b ? A C DSF GH9J A #Fpr_nb>xrvo*~5b>s*¤"Dikto*w} xwpwriktnuxBsZ¤·mkb5tnZpw_#:n¤FsZ"o © lnxriktDenikt[ozw}b5tn~5s { iktD %»usuQacsZrb"vDwb5~5ikxrb5m°}oe_U}¯v[b5w§¨vnmFozt sZ¤ ? A ªet o {n{ ikpwiksuto*mDxw}¯a>[sZm »Uwb5vDwb5xrb5tUpriktnoe$iym { ~qoz { # = su %iyx lnxrb { prs/rb5vnrb xrb5t@po|xr~_nb5ao¯ª Dsu b Dozacvnmybu»ik ¤ : C »pw_Db>xwpwriktnuBx ] j C F'HIF'H o*t { ] C HKHF'H o*wbpw_Db/p sb5mkb5acb5tUprxes*¤Qpw_Dbxr~_nb5ao C HIF'H ª^_nbSsu { b5sZ¤ o'xr~_nb5ao¯» [ _»[ikx { b ¥tnb { ozx$pw_nbStjlna>[b5$s*¤B¥Djb { v·sZxri°pwiysZtDx$iyt ¦» o*t { pw_nb { b ¥DtniktD>mkb5tD*pw_ » T[ _»[o*xpr_nb { ikxwpo*tn~5bS[b p£b5b5t;pw_nb|¥wxwpo*t { pw_nb|m¢o*xp¥n¯b { v[suxri°pwiksutnx sZ¤ ¦ªQ ¤Flnt { ozacb5t@po*mÅpw_nb5suwb5a o*[sZlnp$xr~_nb5aozpoikx pw_Db|¤¢sumkmysq$iktn$¶ ÂjÇDz  «¡ Â@ÇzÂ Ç 2 2F. WÈ . . . . . .
(34) . .
(35) . . . . . . . !#"%$. F 5 ! 87 i4 ! 57 + +L ! 7 4 7 ; + ( ! '4 ; &# ,+L !L 5 $ & 57 7 4 Z\[5` _ `
(36) !/(' B 7 )! '4 F &
(37) 7 T !/ ! [ G`_ C Z [5` _ \ 7 < [ G ` _ F5 7 4 ! 6 !/ 12 0L # &B57 ,+L !" 5 F & ! 7 + +L ! Z\[5` _ &. '. +* ,. -. 0*. )(. /.. +. .. !-1( 2. 43 65.
(38) . :9
(39) . 387. ;. H. < [ G`_ C 9
(40) . 3 =5. Z\[5` _ 3. <(. < [Q]_ >. ?
(41) @BADCFEHG8I J. 7 < [5` _Y ) 7 4 ! 6 !/ 12 0L F & 57 !/(5 % (L0B & Z\[5` _. <(. LK. < [5` _ C K. 3. < [Q]_. 3M> ?
(42) @BE<G8I J. 7 H J !-( H K + * 5 7 !/ + !" ; 1 9 F!/(\4F !+L @ @ 7 ! < [ G`_ T[ _ H pH J [ G` H_ [ G`_ p [ _H K : p H < [5` _ 0*. O. H Z\[5` _ N-. P(. 2.
(43) . HQ. SRT2.
(44) . 9
(45) K. QRQ TÙ S U V1W. .
(46) . P. U. %. WV. 7.
(47) <. !- R !/ !/
(48) I ! . B&n ,
(49) !T . . ¨¤ o*acsZlDx~5sZtDxwb jlnb5tn~5bs*¤Bpr_nb/xr~_nb5ao/pr_nb5suwb5a8ikxpr_ozp$pr_nb/xr~_nb5aozpo>_o5´jiytnco>xr_nsup { b ¥Dtniytn mkb5tD*pr_T»Qo³xraozmymBsZ { b5'o*t { oacbqo*t«¥Dpwtnb5xrx[b ppwb5pr_o*t)pr_nbcv[suvnlnmFoqpwiysZt¬acbqozt¦¥Dpwtnb5xrx$ikmym [b acsuwbo*t { acsuwbHrb5vnrb xrb5t@pwb { iktcpr_nbxrln~5~5b5xrxri°´Ubub5tnb5oqpwiysZtDx #íxwlD~_;xw~_nb5aoqpoo*rb~qo*mkmkb { (!T %» :y =?> %ªH^$_nikxHrb5aozr®cmkbqo { xHpws.pw_nb~5sutn~5mklDxwiysZt³pw_[oqpik¤Npw_DbZmksuo*m suv¯pwiya>lna8sZ¤Npw_Db/¥Dpwtnb5xrx ¤Flntn~ priksut < iyxpw_DbSiktUprb5wxrb5~ pwiksutsZ¤BxwlD~_us@s { nlniym { iytn>nmys@~®jxY»o © $ikmym·bqo*xwiym°}c¥Dt { i°pqª"etpw_nb ~5sutUpwo*}U»@ik¤·pr_nbeikt@pwb5rxwb5~ pwiysZtcsZ¤Tpw_Db xrbHnlniym { iytnSnmys@~®jx"ikxo|xrb5~5sZt { ozw}'suv¯prika>lnaW»zpr_nbev[suvnlnmFoqpwiysZt $iymkmQvnrb ¤¢b5o*nm°}«~5sutU´Ub5rZbsZt@pwsWi°pY»acikxrxwiytn.pw_nbcumksuo*m"sutnbu;ª Dtpw_Dikxxri°pwlozpwiysZt¦pw_Db © $iymkmQ[b ~5sutnxri { b5rb { pws _o5´ub|¤¨o*ikmkb { o*t { < $ikmym·[b|~qozmymkb { (' ,+"5 ª 8sZrb¤Fsuwao*mkmk}u» © sZm { [b5r # : @%>» :å? > % { b ¥Dtnb { pw_nE b (' * ,+" !H¶e^_nEb . !;wb5xrlnmkpwxeikt o*t>b jv[b5~ prb { Zrbqoqprb5Nacbqo*t¥npwtnb5xrxN¤¢suNpw_nbxrb pQsZ¤[ikt { ik´ji { lo*mkxBxrb5mkb5~ pwb { ¤¢suQwb5vnrs { ln~ pwiysZt »*pw_o*t'¤¢su pw_Db$vDwb5~5b { iytnSv[suvnlnmFoqpwiysZt ª O lnp pw_niyx acbqozt´uo*mklnb$$iymkm¯[bH~_o*tnub { U}>pr_nbozvnvDmkik~qozpwiysZt s*¤Tub tDb pwik~ suv[b5ozpwsurxYª D£p/¤Fsumkmksq$x|pr_oqppw_nb © ~qo*t)[b ~5sZtDxwi { b5rb { o*xozppro*~ pwb { pwsqo* { pw_nbcsuv¯pwiyao.s*¤Ho ¤Flntn~ priksut < » { b ¥tnb { ¤FsuSbqoz~_v[suikt@ps*¤ ? A o*xSi°pwx|b jv[b5~ prb { ¥Dpwtnb5xrx|´uozmylnb oz¤yprb5Spw_Db ozvDvnmkiy~qoqpwiysZt sZ¤"~5wsuxrxwsq´Ub5So*t { a>l¯pozpwiysZtTªS^_Db¤Flntn~ pwiysZt < $ikmym·b~qo*mkmyb {«{ b5~5b5v¯pri°´Ub¤FsZo © $ikpw_¦o.Zik´ub5t vo*ozacb prb $xwb pwpwiktDn»i°¤Bpw_DbSZmysZo*m suv¯pwiyaosZ¤ < ozt { < { i 6·b5Yª"^$_nikx¤¢lDtn~ pwiksutWao5}.[b/~qo*mk~5lnmFoqpwb { $ikpw_pw_nbS_Db5mkv;s*¤pw_Db|)o*mkxr_o*xrikx¶ ; ,WV¢S V¢ Ç W 2¨ Ç 2Fsà WTÇ VF 2¨.
(50). . . . . . O. . $. 7 & i4 ! 7* !/ 1) &
(51) 7 &&1 !- !L (' 6 !/ *(;! ? A A j. g [_ C . 5h . (. . [ p H _ g C [ p H _ e! #"%$& g . # &%. I. '. 7 . I. !/(Bl (' !/ )57 ; L & 7 ` ( &B 7 !/ (' * 94 + 1 !. &) !-( l I. I. 7. ^_Db|vDwsZb5~ priksuts*¤Qo/¤FlntD~ pwiksut < Zs tpw_niyxo*xwiyxikx¶ j j H < [ _ g [ _ < [ _ C C [ _ $ k i w p _ g g g A h gh ^_Dbc~ sjb ¾ ~5iyb5tUpwx o*rbc~qozmkmyb { #0 7.*% !LSo*t { ozrbcxwpwwsutnum°}«rb5m¢ozpwb { pwsWxr~_nb5aozpo¯ª sZlDZ_Dm°}U»Qo;ui°´Ub5t g giyx/rb5m¢ozpwb { pws¡xr~_Db a;oqpo;_o5´jiytnW¥n¯b { nikpwx'oqppw_Dbcv[sZxri°priksut$_Db rb l«_o*x iktikpwx/Dikto*w} { b5~5sZa.v[sZxri°priksZt ª"sutnxrb @lnb5t@pwm°}U»pw_D5 b '( *( #087 *% !" #¢¸Óo { ÓlDxpwb { ¹ o*~5~5sZ { iytnpws Zb5tDb pwik~Ssuv[b5oqpwsurx % ao }c[bS~qo*mk~5lnmFoqpwb { #íxrb5b :0@@»T% @> %[¶ T[mln_ #L/ % g C g [ H p;H J : p H p H K [mln_ _ Ú Ùqàåë"ßZÙzØà ëSæíØàåÛåáÙ/ÜLØá Ù/ÜLÚ ÚQYÛ ÜLÜ Û áÛ ßzáÛåàåÜLÛ Ü¢ÛåÚ ë Ù ÜLÚ uØ*æ Ù ZØá ãÜ¨Û àâê5ÚØ ßzÝ áàzQ Ú ØwYãÜLá Û ¨Üì ÛåÙ/¦á áÜ[$ØÚá æ¨ã Ø ÜLØwæíÛåÙqá Øwàyæíè á ßzànìqãÜÚ æ¨Ù áÜ¨Ü Ø zYØÜwæèuÜLÜ ÚQzØ æíá LqìqÛ ãwqãà ëØ *Ù ÚçÅ á ÚYÚ t LÚ$àâìYáÜLëSÛåÚ ÙzÙ ÚwÜ Ý . . . . >. . . +*. ,. . *. . >. . . . '. *. -. *. . . *. /10. 32. 1C. 54 9. 76. 82 9:2 ED FC E<. ,. .'. *. 32. 9 54. ;4. F4. =< ?. 1> ?. :? @9 32 7C. 19:9 BA 4 =D GCH< FCI9. F9. q5r Qsq5t.
(52) .
(53) !"#
(54) $ %'& )(' * ,+- !.!/01. n_ b5rb [mln_ { b5tDs*pwb5x/pw_nbctjlna>[b5|s*¤ iyt¡pr_nbcniytozw} { b5~5suacv[sZxri°priksut¦ozt { [b p b5b5t;pw_Db|¥DrxpHo*t { pr_nbSm¢o*xwp ª +. . < [ _ C. . j. Hpw_nb { ikxwpoztD~5b. T[mln_ . L. g g [_. gih H* >. # /%. Hb ¥tniktD>pw_Db|p£s¤FsZmymksq$iktD>xwb prx í# tnbqo*HsZvnpwikao*m·xrb pwx$s*¤ < *o t { < % ¤FsuHo>Zik´ub5tT¶ ). . F A
(55). U CED. o*t {. . U. . CED. . ,. F A
(56) . ,. 3. < [ _p <. < [ _!p <. 3. . . . 3. . J. 3. < p < p. C. J. *. pw_Db { b ¥Dtnikpwiksut;s*¤Bxwpozpwik~ { b5~ b5vnpwiksut;¤Fsumkmksq$x :å?>@¶ ; ,WV¢SV¢Ç W &1 !/ ! (!T9*94 !- ! |Y¯SV¨Z 2 2¢Ã È Â¯Z SV5o[ . *. . U. . p U C . . 7 i $ 7 !. . F. 7. B&n ,
(57) !T !#",%$2 -'&)(2
(58) &' +.. ^_DbSsZr®.vDwb5xrb5tUpwb { ikt :kz >Noziyacxpwsc~_[ozo*~prb5wiyµ5bSpw_Db { b5~ b5vnpwiksutWs*¤ o'ui°´Ub5t³¤¢lDtn~ pwiysZt < »[~5sutnxri°§ { b5rb { o*xpw_DbSnikt[ozw}.b5tn~5s { iktn's*¤pw_nbSxo*acvnmkiytns*¤Qo>±H²Zm { b5¤Flntn~ pwiysZt³sZtpw_nbSikt@pwb5w´uozm* F'GIH ¶ ; ,WV¢S V¢ Ç W,+ .- 2íÈ Âj0/ W*SV¢Ç WºÇ1/$Â2 Ç W Â'W[03 4 B[ 5 G7698 _ !/( [;: G76< _ #4 # + ' &1 !- !.= = 5 L : # *( ±$²um { b5 ¤Flntn~ priksuts*¤Bb ¯v[sZtDb5tU>p 3.? F & & ) * 87 GA@ B5 1L87 7 6C8 [ GA@ _*D H 79 6 < [E=\[ _ G =\[ @ _ _ FG6 8 [ GH@ _ #íd % . . . . )"%$. 7. . . & 94 . F ?. . . H(. (. F. 7. em°pr_nsulnZ_o.±$²um { b5H¤FlntD~ pwiksut«iyx|o*m°o5}¯xe~5sZt@pwiktjlnsulnxq»·i°ptnb5b { xtnsZpepws[b { i 6·b5rb5tUpri¢o*nmkbu»To*t { °i ¤ i°peikxS±$²Zm { b5H$ikpw_Wb jv[sutnb5tUp>3T»·i°peikx|±$²um { b5H$i°pr_³b ¯v[sZtDb5tUp>3 ¤FsuSo*mkmI3 F G 3 ªDtUpwlnikpwi°´Ub5m°}U» bao5}c~_o*o*~ pwb5rikµ5bSo'±$²Zm { b5 ¤Flntn~ pwiysZt³s*¤mksq]b ¯v[sZtnb5t@p 3Wozxacsurb$¸Liywrb5ulnm¢o*w¹ pr_o*tWo>±$²um { b5 ¤Flntn~ priksuts*¤B_Diku_nb5J3Tª DLpiyxHv[sZxrxriknmybepwsc~5sutnxrb @lDb5tUpwmk}³b5xpozDmkikxr_Wo>rb5m¢ozpwiksut³·bp b5b5K t 3¡o*t { < p < ª^scrbqo*~_;pw_Dikx v[suikt@p pr_nbS¤FsumkmksqHiktno*xrikxikxlDxwb { ¶ ; ,W7V¢ S V¢ Ç & W i4 ! nD 7* +Ç 2F!/sà W +Ç 1VF )2¨ &
(59) 7 &&1 !- !L (' 6 !/ *(;! ? . . . . 3. . . O. QRQ TÙ S U V1W. . $. A. 3. (. Z Sdcfe0VEchgjiWkAilYmKTnoS cpe#q V;crgjiWkAil LNMPOPQRNSUTWVYX [ \^s] ] H__H`b`baa dS cfe#q ] V;crgjiWkAilYmKTnoS cpe'] qcrVEchg iWkAil t `vuUwrx)Pa y{z|AxJz}~ tA777 c g s ]f. U h.
(60) @. !- R !/ !/
(61) I !. ki pw_, F [ : p H _ » , F [ sut;pw_Dikxo*xrikxikx¶ j. ozt {. p H _. ,. #2. . l C ,. o*t { 3 g gih expw_nb±eouoz$~5s@b ¾c~5ikb5tUprxao5}.[b[sulnt { b { ¶ < [ _ C. . >. . . 3g. l. C. g [_. . C. ,. . G. Q2. 3. o F [. QT2. A. H. , . 3 g F 3. . j. . >. G. h. P. A p H _. ª$^$_nbvnrs*Ób5~ pwiksut¡s*¤. F '( 6 !/ *(;! F'GIH !-($ < #(' 6 !/ ( ! . DF'Gvbv8G A p H9J < [ _p < . . . 57. S
(62) R
(63) ; VX. M*. ,. 3. . ,. -. 7. O. [ _. . # %. /J. /.. 7 !. !/( !L !". W(. F [ H K G -H J G : G 3 3.
(64) c i c i g Q lQ s ] q S ] s hc g irV%SdcCipg s ] V S c i s s ] c i l q
(65) R S c icC i V M ] qc ipg S c i s s ] V s ] U. £. j. pw_Db|¤¢sumkmysYHiktn>pw_nb5suwb5a _[ozxH[b5b5t;vnrsq´ub { :yq%>@¶ ÂjÇDz < 57 94 +" !TF!Y: & ( R&1 !/ !E & + !/ !"13 ,. < # </%. < [ _ g [_ . . , (. ,. _. s V M cCipgUS ] s cCibV ] V. b/~qo*t³xrb5bSpr_oqpei°¤ uwsq$xq» < _o*x$acsurbSo*t { acsuwb|~_o*tn~5b5xeprsc[b { b5~5b5v¯pwik´ubuª$ i°pw_DsZl¯peusZiytn ikt@pws { b po*ikmyxY» iyxHo/¤Flntn~ priksZtWsZ¤Bd>wbqo*mTvo*ozacb pwb5rx_o5´jiytnpw_Db|¤¢sumkmysq$iktn'[b5_o5´jiksu¶ 7 ikx { b5~5wbqo*xriktnHi°pw_;rb5xrv[b5~ ppws 3Ū 7 ikx$iktn~5rbqozxriktD/Hi°pw_;rb5xrv[b5~ ppws H K »ozt { H J ª b : K »Uozt {>{ b5~5rbqozxrb5x 7 iktn~5rbqo*xwb5xH_nb5t :£»u$_nb5tm¯ikxBxrao*mkmL»Yrbqo*~_nb5x"oHaozjika'lna]¤FsZQoH´uozmylnB ¤¢su
(66) : ? : K! ª " 6 ;D
(67) /
(68) D B9/
(69) Q
(70) $ # | 5# 4 ^_Db.vnrb ´jiysZlDx>o*to*m°}¯xwiyxikxo*xwb { sut o*t ikrrb ulnmFozri°p}«~_o*oz~ pwb5rikµqozpwiysZt¬$ikpw_)rb5xwv·b5~pprso*t)lntn§ { b5rm°}¯iktn { iyxpoztD~ b/pw_ozpeikx$pw_nb'Nln~5myi { bqo*t { iyxpoztD~ bsZot F GIH ª ^_nikxo*vnvnrs@oz~_WikxHxwpwoziyZ_@p¤FsZwo* { ¤FsZ¥nprtnb5xwx¤Flntn~ priksZtDx { b ¥Dtnb { sZt M O »To*t { iktWpr_nbZb5tDb5o*mB~qo*xwbi°p|ikx|o*m°o5}¯xev[sZxrxriknmybSpws;~5sutnxri { b5 pw_Db>¥Dpwtnb5xrxS¤Flntn~ priksut¬ozx|pw_Db'xo*acvnmkiytn.sZ¤o*t«lDt { b5rm°}¯iktn;sutnb § { ikacb5tDxwiysZto*mQ±$²um { b5¤FlDtn~ pwiksutTª D£p ikx$_nsq b ´Ub5$myb5xwxb ´¯i { b5t@pHiytpw_nikx$m¢ozppwb5H~qozxrb|pw_[oqppr_nb±$²um { b5$b¯v[sutnb5tUperb ¿Db5~ pwxHikt³o>xwiyacvnmkb$o5} pw_Db.ikrrb5ZlDm¢o*wikp£}¡s*¤$pw_nb.¥npwtnb5xrx¤FlntD~ pwiksut #íi°pao })ozvnv[bqo*¤Fsub DozacvDmkb acsZrb ikrwb5ulnmFoz|pw_[ozt i°p ikxikt¦oca>lnm°pri { iyacb5tnxriksZt[ozmÅxrvoz~5&b %ª|^_DikxeiyxHpw_nb>rbqo*xwsutW$_@}bvDwb5xrb5tUpiytWpw_niyxevo*v[b5SocxrikacikmFoz ikrrb5ZlDm¢o*wikp£} ozt[ozmk}jxrikx nl¯p$ikpw_.rb5xrv[b5~ p"pws>pw_nb/±eozacaciytn { ikxwpo*tn~5besutpw_nb|xwb ps*¤nikt[ozw}'xwpwriktnuxqª etDs*pw_Db5TlDxpri°¥D~qozpwiksutcikx"o*mkxrs|pw_ozp"ikx iyxNbqo*xwiyb5QpwsSrb5vnwb5xrb5tUpQpw_Dbeo*~ pwiksutcsZ¤Åub5tnb pwiy~suv[b5ozpwsuwxQHi°pw_ rb5xwv·b ~ p$pws'pw_nb±eo*acaciktD { ikxwpo*tn~5buª . . q5r Qsq5t.
(71) .
(72) !"#
(73) $ %'& )(' * ,+- !.!/01 /& T-. +*(
(74) s-. /&. . % & . . . u oziytnb { ±H²Zm { b5$b ¯v[sutnb5tUpeao5}[b { b ¥Dtnb { ¤FsZ|o [sYsZ¤Nxrikµ5b~5b5t@pwb5wb { sut » [ _»[sZ¤Bpw_nb DSF GH9J A xwv[oz~5bQ¶[b5iktn³b jvnrb5xrxwb { $ikpw_rb5xwv[b5~ pSprs¡o { ikxwpo*tn~5bcvnrsuv[sZwpwiysZto*mNpws³pw_nb.±eo*acaciktn { iyxpoztD~5bZ»¯¤Fsu$b DozacvDmkbQ¶ 6 [ GH@ _ C jA 6 [ GA@ _ o*t { [ _ C @ DSF GH9J A
(75) 6 [ GH@ _
(76) ¶ . . . A. . . . : [ [ _ _ : . [_ C. ¦ikx$o>acbYo*xrlnrbes*¤ [ _»n¤FsuHbDo*acvnmkbQ¶ . . . . [ [_ _. C. [_. C. pw_nb5t. . DF3 < [_p < [ @ /G J :
(77) @! /G J D)3 < : . @. _ J 3. [_p < [ @ _ J#" 3. D£t¬pw_Db.~5sutUpwiyt@lnsulnx~qo*xwbu»Npw_nbmks@~qo*m"[b5_[o ´¯iksus*¤ < ao5}«[bc~qo*v¯pwlDwb { o*x$ L F »"ozx bo*rb { bqo*mkiytnc_nb5rbSHi°pw_«o { ikxr~5wb pwbxwv[oz~5bu» b~qo*t¥D% ozpHpw_nbxraozmymkb5xwpv·sZxri°pwik´ub/´uozmklDbu»·iLª buªk¶ jA ª$^_Db [sq [ _/ao5}¬ozmkxrsW[b { b ¥DtDb { $i°pr_)rb5xwv[b5~ p'pws¦oWv[ozwpwiy~5lnm¢o*/¸L~5sjsZ { iytoqprb ¹w» iLª buªo³¥Djb { ni°p v[suxri°pwiksut [ : p 2p H _»·ozt { ¤Fsupr_nb±eo*acaciktn { ikxwpoztD~5bS[b p£b5b to*t { }¶ C'& @ DSF GH9JSA
(78) 6 [ GA@ _ C H: ozt { }U»¯ { i 6·b5$sZtnmk}.sZtpw_nb [/:.p
(79) p H _ ni°!p ( $ikpw_ ¶¸£sZrikb5t@pwb { ¹[sqjb5x$s*¤Nxrikµ5b'uªN sZpr_nb5xrbSvozwpwiy~5lnm¢o*[sqjb5x¶ . I(. . $. $. . :. [_ C. U. . @ . O. G. $. . D < [ _p < [ @ _ J )3 J. 3. V. p
(80) :)0:. etiywrb5ulnm¢o*ri°p£} ~_ozo*~ pwb5rikµqozpwiksut;$ikpw_;wb5xrv[b5~ pprs>pr_nb5xwbS[sq¯b5xikxpw_nb5tS¶ : D < [ _p < [ @ _
(81) G @ { i 6·b5$sZtnmk};oqpHv[sZxri°priksut [ : p 2p H _ J *,+. C [ _ C p
(82) :n: / #0 j21 b pw_@lDx/vnrsuv[sZxrb'pwsW~5sZacvnlnpwb'pw_nb'¤FsZmymksq$iktD~5s@b ¾c~5ikb5tUprxY»pw_ozpt[oqprlno*mkmk}«rb5vnwb5xrb5tUprxS$_[oqpSb ~qo*t~qo*mkmonikp£$iyxwb|rb5ZlnmFozri°p} acbqo*xrlnrbes*¤pw_Db|¤¢lDtn~ pwiysZt < ¶ ; ,WV¢S V¢ Ç W43 5YVyÆ V¨ ÂWz7 6 2¢D9 V¢Ã1ZÇÅ 8 @ VF' W[z R "& * &1 !/ !5(' 6 !- (;! ? A )3. . @. . . . 3. . . . $. . 57 A @A. . . DSF GbvvG : p HKJdG:9. 19:9 9 5<. QRQ TÙ S U V1W. C; D < [_p < [ . F3. < @. . A. . j_ J 3. j !/(8 ( = !T;!L # 7E + E!/ ; 57 + 1 ! [ : p Bp H _. zØBàåØ LÛ ÙqÛ zãwáÙ Ü ßzÛ ÜÅßuØÛåÙ áÜ uÚ LÛ ÜLÛåÚÙCB*Ý ?. . . (. 5D. G<. 2 9. ?> 7.
(83) %=. !- R !/ !/
(84) I !. D£t³s*pr_nb5prb5wacxq»Upw_Db 9 ~5sjb ¾ ~5iyb5tUp$rb5vnrb5xrb5tUpwxpw_nbSaozjika'lna¥npwtDb5xwx$´uozri¢ozpwiysZt { lDb|pws.oni°p ¿Diyv³oqp$pw_nbSv[suxwikpwiksut [ : p 2p H _ª ^_Db rb ¤FsZrbu»nb~qo*txr_nsq pw_ozp ¶. l. C. . ,. G. QM2. 3 g . 3. 3. 9. ,. . Dt.pr_nbSxozacbH$o5};ozx$ikt :yq%>£»j$i°pr_pw_nb|_nb5mkv;sZ¤pr_nb/±eoZo*o*xrikxq»@pr_nbe¤Fsumkmksq$iytnpr_nb5sZrb5a. b5xwpo*nmkiyxw_Db { #¨xwb5bo*vnv[b5t { i°. ¤FsuHo { b5acsZtDxprozpwiksut+%·¶ ÂjÇDz + < * &1 !/ !#(' 6 !/ (B! ? A 57; I. . [ _ . !/( < * #(' 6 !/ ( !. M*. 3. < [ _p <. . .. 7 !. 7 -. H J A j. : p H. 3. >. ? A. . O. h. 9. . . * !" [ 9 _ / #0 0 A j 1 @. (. H. [ 2p ,. Q. _o*x[b5b5t. H_. GH K. A j. ,. Q . >. h. 9. [. # @/%. H_. ;Q. . lnwpw_nb5racsuwbu»jpw_niyx$rb5xrlnm°pxwpwikmymT_nsum { xH_nb5t³pw_nbSsu { b5$sZ¤Bpw_Db 9 ´uozmylnb5xHikxrb ´ub5rxrb { »Dxrs'pw_nb|¥Dt[ozm [sulnt { ikxNpw_DbsZtDbaciktDikacikµ5iytn pw_nb$vnrb5~ b { iktnSb ¯vnrb5xwxriksut$#íxrb5bHo*vnv[b5t { i° O¤¢su o { b5acsZtDxprozpwiysZt+%ª ¦b'o*mkxrsc_o5´Ub/prsctnsZpwbpw_ozpepw_nbDi°pwx { sctns*p|_o5´ub/pw_nbxozacbSrsZmybSikt³pw_niyxe[sulnt { b jvnrb5xrxwiysZt ª Dt;¤¨oz~ pHpw_nb5iy$rb5m¢ozpwik´ub|b5ikZ_@p$iyxxwpwwiy~ pwm°}.iytn~5rbqozxriktn>$i°pr_rb5xwv[b5~ pprs>pr_nb/iyt { b @ª gjsZwpwiytn'pw_nb5a #íb5ikpw_nb5eiytiktD~ rbqo*xwiytn sZ { b5~ rbqo*xwiytn sZ { b5 % sulnm { pw_nb5t¡aciytnikaciyµ b$pw_DikxH[sZlDt { »[xrlnuZb5xwpwiktD pw_ozp pw_Dbxrikacvnmyb ~_o*tnubs*¤Å~ s { iytn~5sutnxrikxwpwiktDiyt oHDi°pwxQv[b5ra>l¯pozpwiysZt sulnm { ao*®Zb"pw_nb¤FlntD~ pwiksut'bqo*xrikb5qª ^_Dikx¤Fbqozpwlnrb/~qo*t[bSb jvDm¢o*iktnb { @}.pw_DbS¤¨oz~ pHpw_[oqppr_nb/sutnbSv[suikt@p$~5rsZxrxrsY´Ub5 { iyxwrlnvnpwxacsurbebqozxrikmk} o~5sua>niytozpwiksut«sZ¤Ho;¤¢b %ub5tnb5xxrvnwbqo { ozpbqoz~_)b @prwb5acikpwikb5x|s*¤pw_Dbc~_nrsZacsuxrsZacb/pw_o*t)ik¤"pw_Db5xwb ub5tnb5x;b5wb¡ursZlDv[b { ozpsutnb«b jpwrb5aci°p£}Uª0b5sZ { b5riktn¬pr_nb«Di°pwx;ikt]su { b prs xwsuwp;pw_nb¦ni°p$ikxrb rb5ZlDm¢o*wikp£}>~5s@b ¾c~5ikb5tUprxikxQpw_nb5tb @lDi°´uozmyb5tUp"prsursZlDv pw_nbeacsuxwpB¸£xrb5tnxwiynmkb ¹ub5tnb5x$oqp sZtnbbjpwrb5aci°p} sZ¤pr_nbW~_nrsZacsuxrsZacbuª g@suacb;b jv[b5rikacb5t@pwx vnwb5xrb5tUprb { iyt pr_nbWxwb5~ pwiysZt1dvo*pri¢o*mkm°} xwlDvnv[sup pw_Dikx ikt@pwb5rvnrb pozpwiksutTª /. /& T-. +*(
(85) s-. /&. . % & < F'GIH. . ,1 2 s-.{$3&n . . . #" %$2 -. . ;
(86) % & . . b'xwlDvnv[suxwb>pw_ozpSpw_nb¥Dpwtnb5xrx|¤Flntn~ pwiysZt ki xpw_nb xozacvDmkiktDcsZt :QDi°pwxSsZ¤o;±$²Zm { b5|¤Flntn~ pwiysZt¦s*¤ b ¯v[sZtnb5t@p 3 ozt { ~5sutnxwpozt@p F » { b ¥Dtnb { sZt z» pw_Db[sulnt { s*¤ 7 4 iyxNmysYb5Bpr_o*t>pr_nb[sulnt { sZ¤ 7 4 Uª etnbS~qo*tbqo*xwiym°}cxw_nsq» #¨xwb5bo*vnv[b5t { i° %»¯wp _ozp ¶ 9 #L/ % F P j o*x bS_[o ´UbQ¶ 3 g 9 ozt { 3 g F P j o*t { o*xpw_nb¦[sulnt { sZt < p < iyx;o)mkiytnbqo*c¤Flntn~ priksZt sZ¤Spw_nb¦[sulnt { xsut pr_nb 3 »$ikp.¤Fsumkmksq$x ika.acb { i¢ozpwb5m°}pw_[oqpTpw_Db [sulnt { sZ/¤ 57 * i4 NiyxÅpw_nbQmksq b5xw0p #íxrb5bNpw_nbN¥Dulnrb "¤Fsuo"´¯ikxrlo*g mZ~5suacvo*rikxrsZt sZ¤/pw_Db[sZlDt { xsZ¤>±oZo*;~5s@b ¾c~ iyb5tUpwx %ª 8suwb5sq´Ub5Y»Hpw_Dbb xwpwiyaoqpriksut s*¤pw_Db«nikp£Hikxrb¡wb5ulnmFozri°p} ~5sjb¾c~5ikb5t@pwx|ikxH~5sZacvnlnpozpwiksuto*mkm°};~_nbqo*v[b5epr_ozt¡pw_nbb5xwpwikaozpwiksut;sZ¤Npw_Db>±H²Zm { b5eb jv[sutnb5t@pSozt { ikpwx o*xwxrsu~5i¢ozpwb { ~5sutnxwpozt@p F ª D£¤". . G. , . 3. 3. . 3. 3. ,. 3. 3. /J(. ,. , . G. /J(. 3. 3. q5r Qsq5t.
(87) u.
(88) !"#
(89) $ %'& )(' * ,+- !.!/01 1.2 Haar coefficients Holder bound Bitwise regularity bound 1. 0.8. 0.6. 0.4. 0.2. 0. BiyZlDwb/j¶"±eoZo*~5s@b ¾c~5ikb5tUprx$sZ¤Qob5ikb5rxwpwozxrx ¤¢lDtn~ pwiysZt;Hi°pw_³±$²um { b5b jv[sutnb5t@pH_B=¯ª0C 0. 50. 100. 150. 200. 250. 300.
(90) Å c-«
(91) : H# 4 ^_Db¤¢sumkmysYHiktnWb jv[b5rika.b t@pwx_o5´Ub[b5b5t v[b5w¤FsZracb { $ikpw_¬pw_nb;~qo*tnsutnik~qo*m © ªB sZ'bqoz~_ ¥Dpwtnb5xrx ¤Flntn~ priksut;pwb5xwpwb { »Dpw_nb © ikxo*t;aozt@}'prikacb5x$ozt { pr_nb|¤FsZmymksq$iktD>v[b5w¤¢suraoztD~5b5xo*rbSwb5~5su { b { ¤¢su bqo*~_ub5tnb5oqpwiysZt ¶ uª ´Ub5ozubsZ¤pw_nbv[sZvDlnm¢ozpwiksut;acbqo*tc¥nprtnb5xwx$´uozmylnb5xqª ¯ª ´Ub5ozubsZ¤pw_nb[b5xpiyt { i°´¯i { lozm·¥npwtDb5xwx$´uozmylnb5xqª ¯ªHNwsuv[supriksut.sZ¤pr_nbSrlntnxH_nsuxwb|v[sZvDlnm¢ozpwiysZt~5sutUpoziytnxHo>ZmysZ[ozmTsuv¯pwiya>lnaWª Dt1pw_nbWpri°pwmybs*¤Spr_nb³¥DZlDwb5x { ikxrvnmFo5}jiktD¡pw_Db5xwb¡v·b w¤Fsuwao*tn~5b5xq» pw_nb }]o*wbWrb ¤¢b5rb5tn~5b { o*x ¸ 8;bqo*t¯¹r» ¸ 8³ozjiya>lna ¹ozt { ¸ÓNrsZv[suwpwiksut¯¹H¤FsZmymksq b { @}cpw_nbSt[ozacb|s*¤pw_Db|¤¢lDtn~ pwiysZtTª ^_Db¤FsumkmysYHiktn © vo*ozacb pwb5rx$o*wb/ozmyxws'xwv[b5~5ik¥Db { ¤FsZHbqoz~_¤Flntn~ pwiysZt/¶ : b5tn~5s { iktn xrikµ5-b #ít@lDa>[b5s*¤Bnikpwx % U v[suvnlnmFoqpwiysZt³xwiyµ5b ba t@lDa>[b5s*¤Bub5tnb5oqpriksZtDx¤FsuHo>wlDt 0asc t@lDa>[b5s*¤Brlntnx H J ~5rsZxrxrsY´Ub5vnrsuo*nikmyi°p£} HLK a>l¯poqpriksutvDwsuo*nikmyi°p} . . QRQ TÙ S U V1W.
(92) q . !- R !/ !/
(93) I ! . - d & -.. ,&)(22.&n k . . +. ^_Dbe¥nprtnb5xrx¤FlntD~ pwiksutnxozrbpw_nbSxozacvDmkiktD/sZ¤b5ikb5rxwpwozxrx¤Flntn~ priksutnx):â >@¶ 0 [ _ C e h%j c ] a [ _ $i°pw_ ? H ozt { H D*c D ^_DbS±$²um { b5b jv[sutnb5t@pHiyx { ikrb5~ pwm°}.ui°´Ub5t@B} 3 C [ p c_ªN sZpw_nbSvnrb5xrb5tUp$~qo*xrbZ»¯bxrb p C ª ? G. . . ?. . J. ?. . ,. ,. 2 Weierstrass dimension 1.7. 1.5. 1. 0.5. 0. -0.5. -1. B iyZlDwb|¯¶Bb5ikb5rxpro*xrx¤Flntn~ pwiysZt$i°pr_±H²Zm { b5b jv·sZtnb5t@p 3 C F
(94) ^_DbSpwb5xwpwxozrbSv[b5w¤¢suracb { $i°pr_3 CF # %» 3 C H # dF %o*t { 3 CF # F %ª ^_Db xozacvDmkiktD { suao*ikt.iyx F'GIH »¯o*t { pw_nbS~5m¢o*xrxwiy~qozmÅb5tn~5s { iktn ikx pw_DbSlnxrlozmTao*vnvDiktn$¶ 0. 0.1. 0.2. 0.3. 0.4. 0.5. 0.6. 0.7. 0.8. 0.9. ,. 1. F GH. ?BA L. G. A j. /J. G. A . J. vv . L . C. H A j , A 5h >. ?. ?. ,. ,. ?. ^_Db¥DulnrbHd { ikxrvnm¢o5}¯xBpw_Db 9 ´uozmylnb5x su¯po*iktnb { ¤Fsu { i6·b5rb5tUpQ´uozmylnb5x"sZ¤{3 $i°pr_co <z§¨Di°pwx xo*acvnmkiytn #írb5~qo*mkmjpw_ozp 9 ~5sZrrb5xwv[sut { xBpws|pw_nbDi°p j ozt { 9 j pws %ª^_nbb Doz~ pQ´uozmylnb5x o*rbtns*pQikacv[supozt@p #Fpr_nb }'a>lDxp [b~5suacvo*wb { pws/pw_nb$¤Flntn~ pwiysZtcaozjiya>lna$%»zozt { sZtnmk}pw_nbHwb5mFoqpri°´Ubikacv[suwpo*tn~5bs*¤Åpw_nb 9 ozrbrb myb ´uozt@pYªeb>~qozt¡xrb5bpw_ozp|pw_nb }¡o*rbacsurbSsZ|mkb5xrx { b5~5rbqozxriktDn»To*t { pr_nb }pwb5t { pws[bs*¤ pw_D bSxo*acbesu { b5Hozx c|pwb5t { xpwsc¯ª . . q5r Qsq5t.
(95) q.
(96) !"#
(97) $ %'& )(' * ,+- !.!/01 3 h=0.75 h=0.50 h=0.2 2.5. 2. 1.5. 1. 0.5. 0 0. NikulnrbdD¶ 9 u´ ozmylnb5x¤FsZ$ Cj»¯ C = ozt { =¯ª 2. 4. : H. 6. U. bia. 'H. 8. HIFdF. HK. 14. 16. F FdF. dF F F HC . F ,. HC F. J K. 12. Z J HC F. 0asc. HIFdF. ,. 10. ,. . . ^No*nmkb'Z¶"Bo*o*acb pwb5rx$ozt { [sulnt { ´uozmylnb5x¤FsZ$ Cj»¯ C = ozt { =¯ª ^_Db$xrb5~5sZt { b5tn~5s { iktD/ikx { b5ri°´Ub { ¤Frsuapw_nb$¥Drxp sutnb$$i°pw_.ov[b5ra>l¯poqpwiysZt's*¤Åpw_nbHnikpwx ikt sZ { b5 pws iktD~5wbqo*xwbpw_Db|´Zo*mklDb|sZ¤pw_nbS[sulnt { # @ %·¶ . G. A j. /J. . G. A. J. vv j v b . G. A . J. . G. A. . J. ^No*nmkb { ikxrvnmFo }¯xQpw_nbev[ozo*acb pwb5wx"s*¤Tpw_DbewlDtnxo*t { pw_nbe·sZlnt { ´uo*mklnb5x¶ J xpozt { x ¤Fsu"pr_nbe[sulnt { ~5suwrb5xrv[sZt { iktDpws pw_Db/~5m¢o*xrxwiy~qozmTb5tn~5s { iktDco*t { K xwpo*t { x¤Fsupr_nb/[sulnt { ~5sZrrb5xwv[sut { iktn'pws'pw_nb acs { i°¥b { b5tn~5s { iktDnª/ suSo*mkmpw_nb>¤¢lDtn~ pwiksutnxq» K ikxe_niyZ_Db pw_[ozt J ozt { pw_Dbpwb5xwpwx { iyxwvDm¢o5}ub { ikt ¥Dulnrb5
(98) x Ccprs³cxr_nsqpw_ozp/o © %$i°pw_¡pw_nb>~5mFozxrxrik~qozmNb5tn~5s { iytn;xr_nsq pw_nb'[b5xpSv[b5w¤¢suraoztD~5b xq»To*x vnrb { iy~ pwb { #¢¸e ¹xwpo*t { x¤Fsupr_nbS~5m¢o*xwxriy~Yo*mÅb5tn~5s { iytn.ozt { ¸Óq¹e¤Fsupw_DbSacs { ik¥Db { b5tD~5s { iytn %ª QRQ TÙ S U V1W.
(99) 5d. !- R !/ !/
(100) I !. 0.72. 0.756 C1 C2. 0.7. C1 C2 0.754. 0.68 0.752. 0.66 0.64. 0.75. 0.62 0.748 0.6 0.746. 0.58 0.56. 0.744. 0.54 0.742 0.52 0.5 0. 20. 8;bqo*t. 0.74. 40. 60. 80. 100. 0. 20. 8Wozjiya>lna 40. 60. 80. 100. 0.4 C1 C2 0.35. 0.3. 0.25. 0.2. 0.15. 0.1. 0.05. 0 0. N rsuv[sZwpwiysZt BiyZlDwb C¯¶Nb5¤Fsuwao*tn~5b5xsut Cjª 20. 40. 60. 80. 100. q5r Qsq5t.
(101) %C.
(102) !"#
(103) $ %'& )(' * ,+- !.!/01. 1.1. 1.115 C1 C2. C1 C2 1.11. 1 1.105 0.9 1.1. 0.8. 1.095. 1.09 0.7 1.085 0.6 1.08. 0.5 0. 20. 8;bqo*t. 1.075. 40. 60. 80. 100. 0. 20. 8Wozjiya>lna 40. 1 C1 C2 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0. QRQ TÙ S U V1W. N rsuv[sZwpwiysZt BiyZlDwb <¯¶Nb5¤Fsuwao*tn~5b5xsut C =jª 20. 40. 60. 80. 100. 60. 80. 100.
(104) %<. !- R !/ !/
(105) I !. 2.4. 2.75 C1 C2. C1 C2 2.7. 2.2. 2.65. 2. 2.6 1.8 2.55 1.6 2.5 1.4 2.45 1.2 2.4 1. 2.35. 0.8. 0.6 0. 20. 2.3. 8;bqo*t. 2.25. 40. 60. 80. 100. 0. 20. 8Wozjiya>lna 40. 60. 80. 100. 1 C1 C2. 0.8. 0.6. 0.4. 0.2. 0 0. N rsuv[sZwpwiysZt BiyZlDwbj¶Nb5¤Fsuwao*tn~5b5xsut =jª 20. 40. 60. 80. 100. q5r Qsq5t.
(106) z.
(107) !"#
(108) $ %'& )(' * ,+- !.!/01. . /. (2
(109) . . &' . . ^_Dikx¤FlntD~priksutT»U¤FrsZa :kq%>»ZikxQo*mkxrspw_nbxo*acvnmkiytnHs*¤Toe~5sZt@pwiyt@lnsulnxQ¤Flntn~ priksut { b¥tnb { sZt'pw_nbiytUpwb5w´uozm F'GIH #íxrb b|¥ZlDwb @ %·¶ F'GIH G. [ _ C. . , . b. . . G. A. [ _ ci] a
(110) K[ _ . " & $ &. J. . 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0. 0.1. 0.2. NikZlDwb
(111) @j¶N lntD~ pwiksut98W 0.3. 0.4. 0.5. 0.6. 0.7. 0.8. 0.9. 1. 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0. NikulnrbS¯¶ "O i°p$ikxrberb5ZlDm¢ozrikp£}.~5s@b ¾c~5ikb5t@pwxsZ¤¤¢lDtn~ pwiksutP8³¯ª 0. QRQ TÙ S U V1W. 2. 4. 6. 8. 10. 12. 14. 16.
(112) %@. !- R !/ !/
(113) I !. ^_Db 9 ~5s@b ¾c~5ikb5tUprxHo*wb { ikxrvnmFo5}ub { ikt.¥DulnrbS¯ªN^_Dbxozacbb tD~5s { iytnuxHo*x¤FsZpr_nb|b iyb5wxwpwo*xwx ¤Flntn~ priksutnx ozrbpwb5xwpwb { ªSex¤¢suepr_nbb5ikb5rxpro*xrxH¤¢lDtn~ pwiysZtnx|pr_nb[sZlDt { s*¤Qpw_nb'acs { ik¥Db { b tD~5s { iytn JSikxS_Diku_nb5|pw_o*t¦pw_nb [sulnt { sZ¤"pr_nbc~5m¢o*xwxrik~qo*mBb5tn~5s { iktDn»Nozt { pw_nb v[b5¤Fsuraoztn~5b5x|vnrb5xwb5t@pwb { ikt ¥Dulnrb' =>xw_DsY pr_oqp$pw_nb © Àv[b5w¤FsZracx [b ppwb5Hiktpw_DbSm¢o*xp$~qo*xrbu»ozxvDwb { ik~ pwb { ª 1. 1 C1 C2. C1 C2 0.995. 0.9. 0.99 0.8 0.985 0.7. 0.98. 0.6. 0.975 0.97. 0.5. 0.965 0.4 0.96 0.3. 0.2 0. 5. 10. 8;bqo*t. 15. 0.955 0.95 20. 25. 30. 35. 40. 0. 5. 10. 8Wozjiya>lna 15. 20. 25. 30. 35. 40. 1 C1 C2 0.9. 0.8. 0.7. 0.6. 0.5. 0.4. 0.3. H. 0. :. U ,. FdF. ba. HFdF. .asc. @F . 5. Z J HC F. 10. Nrsuv[sZwpwiysZt 15. HK. F FKF. 20. 25. 30. 35. © vo*ozacb prb5wx BiyZlnrb' =¯¶N^b5xwpwx$sut¤Flntn~ pwiysZt ³8 ¯ª. 40. F. J. . O"sZlDt. ,. K. F
(114). { ´uo*mklnb5x. q5r Qsq5t.
(115) q.
(116) !"#
(117) $ %'& )(' * ,+- !.!/01. . (2
(118) . . . &' . . b'~5sutnxwpwrln~ pwb { pw_Dikx|¤Flntn~ pwiysZtiyt«su { b5|pws~5rbqoqprbco.xwpwrsZtD { b5v[b5t { b5tD~ }¦[b p b5b5tZb5tDb5x #íxrln~_ ¤Flntn~ priksutnxozrb~qo*mkmyb { +L : C%> %ª DLp$iyxpw_DbSxwlDa s*¤<xrlnn§í¤FlntD~priksutnx ;Z { b ¥DtDb { sutd ni°pwx¶ ;Z [ j _ C'& eH h e [ H p _]i°¤ i°¤ C C H F 5h o*~_ºxrlnn§í¤FlntD~ pwiksutº_[ozxcsutnb;umksuo*msZvnpwika'ln a #
(119) Z [ HdHKHdH _ C %'ozt { o«mksj~qozm$sZvnpwika>lDa7Hi°pw_ rb5xwv·b ~ ppwspw_nb ±ozacaciytn { ikxwpo*tn~5$b #
(120) Z [ FKFdFKF _ C
(121) %ª/^_DbDi°p$ikxrb/rb5ZlDm¢o*wikp£}~5s@b ¾c~5ikb5t@pwx 9 o*wb>pw_nb5t [ 0GIHKGHKGH _ ª ;Z [b5iktD.pr_nb>~5sutn~qozpwb5tozpwiksuts*¤ <c¤Flntn~ pwiysZtDx Z [»·ikpwx 9 ~5s@b ¾c~5ikb5t@pwx o*wb [ 0GIHdGIHdGIHdGvvb G nGHKGHKGH _ª ;Z _ozx>pw_nb5t sutnb;umksuo*m suv¯prika>lna o*t { [
(122) p H _ C
(123) mksj~qozm suv¯pwiyaojª ^_Db|·sZlnt { ¤FsZ$pw_DbSacs { ik¥Db { b5tD~ s { iytn'iyxmksqb5pw_o*t;¤Fsupr_nbSsZriyZikt[ozmÅsZtDbuªNb| sulnm { pr_nb5t b ¯v[b5~p|o*tWikacvnrsq´ub5acb5t@p sZ¤pr_nb © v·b w¤Fsuwao*tn~5b5xq»nnl¯p|ozx$bS~qoztWxrb bikt;¥ZlDwb uZ»Dpw_niyx$iyxtnsZp pw_DbS~qozxrbuª" v[sZxrxriknmybb ¯vnm¢o*tozpwiksutiyxpw_ozpHpw_nbSxrb5~5sZt { b5tn~5s { iktn nrbqo*®@x$pw_nbSvnrsqjiyaci°p} [b p b5b5t pw_Db.¸L~5sutUpwrsum°¹cni°p o*t { ikpwx/¸L~5sutUpwrsumkmkb { ¹.ni°prxY»Bpr_nb5t¬pw_nb;rb5m¢ozpwiksut [b p£b5b5t pw_nb5xrb.d¦nikpwxikx>acsurb sZ¤yprb5t { ikxrwlDv¯pwb { @}pw_Dbsutnbv[suikt@pH~5rsZxrxrsq´ub5qª$^_DikxH~5sZlDtUpwb5w§LbDo*acvnmkb_niyZ_nmyiku_Upwx$pw_Dbmkikacikpwx pw_nb mkiyaci°pwxsZ¤Bpw_Db/vnrb ´jiysZlDx { b5~ b5vnpwiksut«ozto*m°}¯xrikxq»¯pw_ozpHsutnmk}.po*®ub xiktUprsoz~5~5sulnt@pepw_nbni°p$ikxrb·b _[o5´jiksu sZ¤pw_nb|¥nprtnb5xwx$¤Flntn~ priksutnxozt { pr_oqp { s@b5xHtnsZppoz®ubSikt@pwsco*~5~5sZlDtUp¸£b5vniyxpoqpwiy~ ¹[b5_o5´jiysZrxqª . . . Q. ?. . ?. . ?. . ?. . . . QRQ TÙ S U V1W. . ,.
(124) =. !- R !/ !/
(125) I !. 22. 24 C1 C2. 21. C1 C2 23.5. 20. 23. 19. 22.5. 18 22 17 21.5 16 21 15 20.5. 14. 20. 13 12. 8;bqo*t. 11 0. 19.5. 20. 19. 40. 60. 80. 100. 0. 20. 8Wozjiya>lna 40. 60. 80. 100. 1 C1 C2. 0.8. 0.6. 0.4. 0.2. 0 0. ,. : . U. H ,. ba. HFdF. .asc. HFKF. 20. Z J. HC F. Nrsuv[sZwpwiysZt 40. HK. F FKF. 60. 80. © vo*ozacb prb5wx BiyZlDwb'uZ¶N^b5xwpwxsut;¤FlntD~ pwiksutW ID <jª. 100. ,. J. F. O"sZlDt. H. . K.
(126). { ´uo*mklnb5x. q5r Qsq5t.
(127) ¯.
(128) !"#
(129) $ %'& )(' * ,+- !.!/01. H -. # #/T 0 (º32 6 9 ;#(*
(130) :
(131) T
(132) $
(133) 4 ex b_o5´Ub>xrb b5t »[pw_nb'[sZlDt { sut < p < { b rik´ub { ¤FrsZa pw_nb>Di°p$ikxrb/rb5ZlDm¢o*wikp£}~5s@b ¾c~5ikb5t@pwx 9 { b5v[b5t { x.sut1pw_Db5ikcrb5m¢oqpri°´Ub³su { b5q» { lDbprspw_Db³lDxwbWsZ¤pw_Db¡sZtDb³v[suikt@p.~5rsZxrxrsY´Ub5qª]^_DbWo*ika&s*¤ pw_Dikx/xrb5~ pwiysZtikx/pwsb5xwpo*nmyikxr_¬ozto*mksuusZlnxwb5xrlnmkpwx|¤FsZ/pw_nbclDtni°¤Fsuwa ~ rsuxwxrsq´Ub :âj>£»T¤Fsu/H_nik~_«pw_Dikx v[suxri°pwiksuto*mÅni¢o*xtns mksutnub5b jiyxprxYª . %3. 3. . .
(134) /&' J$ 1 2 s&n ,+,&8 -. . 0
(135) %1 s&' J$!$2 B&' ;. ^_Dbclntnik¤¢sura7~5rsZxrxrsY´Ub5tnsWmksutnub rb5mkiyb xsZt)pw_nbclDxwbcsZ¤$~5rsuxwxriktDv[suiktUprxYª9DLpvDws { ln~5b5x'o³acsurb lntDi°¤FsZra ¸£aci°¯iktnZ¹'sZ¤$pr_nbub5tnb pwiy~aozpwb5ri¢o*mU¶ bqoz~_ ub5tnb³s*¤|oztºs 6·xrvnriktD¡ikxozt { sZacmk})o*t { iyt¯§ { b5v[b5t { b5tUprm°}«~_nsuxrb5t #FHi°pw_¦vnrsZ[ozDikmkikp£})S RZ %H¤FrsZa pw_Db>p s;vo*rb5tUpwxS~_Dwsuacsuxwsuacb5xYªS^_Db>s*pr_nb5 s6·xrvnwiytn>iytn_nb5ri°pwx pr_nbS~5sZacvDmkb5acb5tUpozw}'ub5tnb5x #Fpw_nb|¥ZlDwb qikmymklnxwpwozpwb5x pw_nikx$vnriktn~5iyvnmk&b %ª Parents. Offsprings. B iyZlDwb'Y¯¶Htni°¤FsZra~5rsZxrxrsY´Ub5qª ^_Db'xr~_nb5aocpw_Db5sZrb5a½ao }¡[b.o { ozvnpwb { ¤FsZ/pw_nikxSsuv[b5oqprsZ¶|$i°pw_«pw_Db'sutnb v[sZiytUp/~5rsZxrxrsY´Ub5q» pw_DbSvnrsZo*niymki°p} sZ¤Bxr~_nb5ao { iyxwrlnvnpwiksut HSikx[sulnt { b { ¶ H . . . [ _ :0p H
(136) . bS~qo*tW[sZlDt { pw_Db { iyxwrlnvnpwiksut;vnrsZ[ozniymki°p}c¤FsZ$pw_Db/lntDi°¤FsZra ~5rsZxrxrsY´Ub5HU} sunxrb5´¯iktn/pw_ozp sutn~5bHpr_nbH¥Drxwp ¥njb { Di°p sZ¤Tpw_nbxw~_Db5aoikx o*mkmksj~qoqprb { pwssutnbHs*¤Tpw_Dbes6·xrvnriktDZxq»upw_nb xr~_nb5aoS$iymkmTo*m°$o5}jxxrlnw´jik´ub|i°¤NozmymTs*pw_Db5¥n¯b { ni°prxHo*wbo*mkmys@~qozpwb { pws'pw_nbSxozacbes6·xrvnriktnDª Dtpr_nbSxo*acb|aoztDtnb5Y»j. sH p H . H . ,. G A. J. j .
(137) . ¦b|pr_nb5t_o5´Ubepr_nbStnb [sulnt { ¤FsZpw_nbSxr~_nb5aoSpw_Db5sZrb5a¤FsZeo © À$i°pw_;lDtni°¤Fsuwa~5rsZxrxrsY´Ub5¶ j < [ _ H H pH/J %H p [ G` H_ [ G`_ p [ _ HLK #w =/% < .
(138) . HQ. SRT2.
(139) . K. QRQ TÙ S U V1W. G ASJ. . %. 2. ,. . M. .
(140) .
(141) u. !- R !/ !/
(142) I !. e xQ¤FsZQpr_nbsutnbHv[suiktUpQ~5wsuxrxwsq´Ub5NH iyxN~5sutnxrb5´uozpwi°´Ub5m°}>xrb pNprs A j »Ui°¤[bxrb p/H pws/pw_nblDvnv[b5 [sulnt { # @/%»¯pw_nb5tpw_nb/tDb o { Ólnxwpwb { )o*mkxr_~5s@b ¾c~5ikb5t@pwxHo*rbQ¶ g j H p H K [mln_ #wZ& % g C g H pH J H p. G( J. . /. @1. G. J. . . *. ,. *. . ,. . 2 s&' !&8 !- &n
(143) 2 ( $; ,
(144) . { bHpw_nb|vnrb ´jiysZlDx acs { ik¥D~qoqpriksut.ikt.pw_nbS~qo*mk~5lnmFoqpriksut.sZ¤pr_nb·sZlnt { s*¤pw_Dbepw_Db5sZrb5a8/b ub ppw_nbStDb Àb jvDwb5xrxriksut #íxrb5bozvDv[b5t { ik ¤FsZo { b5acsutnxwpwoqpriksut+%[¶ ÂjÇDz < 57 94 +" !TF!Y: & ( R&1 !/ !E & + !/ !"13 !/( !L !" D£¤biytn~5mkl. F '( 6 !/ *(;! F'GIH !-($ < #(' 6 !/ ( ! . DF'Gvbv8G A p H9J < [ _p < . . M*. . 57. ,. ,. 7. -. [ _. . . 3. O. /.. 7 !. W(. F [ H K G -H J G : G 3 3. _. S
(145) R
(146) d V{X
(147) c i c Sdic ipg s ] V q
(148) R Sdc ic i V M ] qc i p g S c i s s ] V s ] s ]. lnwpw_nb5racsZrbu»npr_nb[sZlDt { # @/%~qo*mk~5lnmFoqpwb { ¤Fsuepr_nblntnik¤¢sura4~5wsuxrxwsq´Ub5"#íxrb5b>o*vnv[b5t { i° ) ¤FsZ/ho { b5acsutnxwpwozpwiksut+%»¯mkbqo { xprs>pw_Db|¤¢sumkmysYHiktn>pw_nb5suwb5a ¶ ÂjÇDz 3 < * &1 !/ !#(' 6 !/ (B! ? A 57; I * !" [ 9 _ / #0 0 A !/( < * $(' 6 !/ (E ! DSF GbvvG :0p HKJ 7 ! . ? A. &. . *. -. 7. # !L1 (' #57 ). & + i4F !L#(' 6 !/ *(E! 57 # @. . . (. j. A j. wY h biyacacb { i¢ozpwb5mk}'xwb5b/pw_ozpepw_Db/v[b5ra>l¯pozpwiysZtpw_ozpaciktniyacikµ5b5x"pw_nb/lDvnv[b5e[sulnt { iyxpw_DbsZtnb/pw_ozp xrsZwpwxpw_nb 9 ikt { b5~5rbqozxriktD'su { b5Yª Noz~ pwiy~qozmym°}U»i°¤i°pcikxcv[suxrxwiynmkbprs)ubpcpr_nb 9 ´uo*mklnb5x #¨sZcus@s { b5xprikaozpwiksutnx%»"ikp iyx'_o* { pws { o5,~5sutn~5mklnxriksutnx ¤FrsZa pr_nb;´uo*mklnb³s*¤|pw_nb³[sZlDt { #q %ª O"l¯p ik¤e b³~5sZtDxwi { b5 pw_nb³b6·b5~ p.s*¤ozt b5tn~5s { iktD¡~_o*tnubsut i°pY»BikpiyxiktUprb5wb5xwpwiytn³pws¡xrb5b.i°¤Hi°pwx´uozri¢ozpwiysZt¬ikxb jv[b5rikacb5t@po*mkm°}«~5surwb5mFoqpwb { pwspw_nbcv[b5w¤FsZrao*tn~5b5xsZ¤pw_nb © ªRDtUpwlDi°pwi°´Ub5m°}U»Tpr_nbc_U}¯v[sZpw_nb5xrikx/iyx|¤¢sura>lnmFoqpwb { o*x|¤¢sumkmysYHx ¶Si°¤$ozt b5tn~5s { iktD/~_o*tnub #íxrln~_o*x o © o }>~5s { b&%Bikt { ln~5b5xo { b5~5rbqo*xwbHsZ¤·pw_Db$[sulnt { #q %»Upr_nb © xr_nsulnm { v[b5w¤FsZra½[b ppwb5/$i°pr_¡pw_DikxStnb %b5tn~5s { iktDn»o*t { ~5sutU´Ub5wxrb5m°}Uª'¦b vnrb5xwb5t@p/b jv[b5rikacb5tUprxeHi°pw_«pw_nb © o5}.~5s { bSiyt.pr_nbStnb jpHxrb5~ pwiksutTª 3. " $. < [_p < [ _. G. *, + -H J A h . 3. @. >. . 9. "$. G. J. Q. HLK. >. . 9. [ "$. G. J. . ;Q. H _"!. # /%. J. q5r Qsq5t. j1.
(149) u.
(150) !"#
(151) $ %'& )(' * ,+- !.!/01. .-¡
(152) 5: $# 9 ;#. (* /
(153) B:
(154) T
(155) >
(156) 4 ^_DbtnsZpozpwiysZtnxo*wb|pr_nbSxozacb|o*xiytxrb5~ pwiysZt³dnª ^_Db © o5}~5s { bSikxHom¢ozrub5m°}.lnxrb { b5tn~5s { iktn ~_o*tnubQ¶ =@? A L ? A G [ _ C ,Hi°pw_ j i°¤ ] C [ : p H _ C & [ A P j 5 _3i°$ ¤ [/:.p H _ D ] . . . ?. . (2
(157) . . G. . . /J. G8?. !. J. ?. F. &' d. ^_Dikx¤Flntn~ pwiysZtikxsutnb s*¤npr_nb# L! 5 p N !/ !L " B ( :k%C%>£»qpwlnrtnb { ikt@pws|oaozjikaciyµqoqpriksut vnrsunmkb5a I¶ = H [d5 _ C [ s[ < j _p < j [ 5 _ _»¯Hi°pw_/¶ < j [ 5 _ C p5 $i°pr_ p H 5 H 5h%j ^_Dikx¤FlntD~priksut ikx zj § { ikacb5tDxwiysZto*m o*t { bqo*~_ ~5suacv[sZtDb5tUp'iyx { b ¥Dtnb { sZt]%=Wnikpwxqª) sZln { i6·b5rb5tUp ao*vnvniytnuxB¤FrsZa ? pw0s mp H G H _[o ´UbH[b5b5tcb jv[b5rikacb5t@pwb { ª b p c[bozt@}'sZ¤·pw_Db 5 ~5s { b { sut% =ni°prx
(158) bv j ¶ 7 9 6 b H ¶No>~5m¢o*xrxwiy~qozmÅxwiyZtDb { iytUpwb5ub5Dikto*}.b5tD~5s { iytnD»naozvnv·b { prs p H G H ¶ &. &. O. . 2. . G8? J. G8? J. ,. >. ,. ?. . ,. G8? J. I. ,. . ,. C . 7. 6b. 9 . ,. ,. H [ p H _ , g g HFKF gih >. ¶No*tlDtnxrikZtDb { nikto*w}.ikt@pwb5Zb5$b5tn~5s { iytnD»naozvDv[b { pws p H G H ¶ ,. . C. H g , g p HFKF gi h >. ,. H ,. ¶xo*acb|ozx 9 6 b H nl¯p$ikpw_ © o };b5tn~5s { iktn'¤FsZ
(159) vb j ª 7 9 6 b ¶xo*acb|ozx 9 6 b nl¯p$ikpw_ © o };b5tn~5s { iktn'¤FsZ vb j ª D£t¡¥DZlDwb.Y¯»[b/xrb5bSpw_ozpepw_Db[sZlDt { ikxeiktD~5wbqo*xwiytn'$i°pr_³bqo*~_Wtnb b5tn~5s { iktnD»Åozt { pr_ozpepw_nb v[b5w¤FsZrao*tn~5b5xsZ¤ pw_nb © { b5~5rbqozxrb o*xSvnrb { ik~ prb { »Tpw_nsulnu_«ikp|iyxacbqo*xwlDwb { sutnm°}Wpw_nrsulnu_ b da o*t { .] ¦ª¦^_Db;wlDtnxpw_[oqp>¤Fsulnt { pw_nb;umksZ[ozmsuv¯pwiya>lna b5rbc´Ub5w})o*rbu»Nxriktn~5boWmksZp>s*¤ xrsZmyl¯pwiysZtDx _o5´ub|o|¥npwtDb xrx"´Zo*mklDb´Ub5w}'~5mksuxwb$pwspw_Db$suv¯pwiya>lna # { lnb$pw_nb|o*nxrb5tn~5besZ¤Åxr~qo*mkiktDn»Upr_nb © ikx$lnto*nmybepws { iyxpriktnulnikxr_.pw_nb5$a %ª 7. 6b
(160). 9 . . ,. . . QRQ TÙ S U V1W.
(161) 2. 2. .
(162) *d. !- R !/ !/
(163) I !. 80. 78.8 C1 C2 C3 C4. C1 C2 C3 C4. 78.6. 75. 78.4 70 78.2 65 78 60 77.8. 55. 77.6. 50 0. 20. 8;bqo*t. 8Wozjiya>lna. 77.4. 40. 60. 80. 100. 0. 20. 40. 60. 80. 100. 0.04 C1 C2 C3 C4. 0.035. 0.03. 0.025. 0.02. 0.015. 0.01. 0.005. Nrsuv[sZwpwiysZt. 0 0. 20. . : K
(164) F. a. H. 6 ] a .a 6 . U ,. 40. bia. 0asc. 6bH. H '
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
