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📄 images.pl

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$key = q/{_inline}${tildeu}inV_0h${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img81.gif">'; $key = q/{figure}[htbp]hboxtohsizehssplotftroisdfig16.ps10cm10cmhss{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img231.gif">'; $key = q/{_inline}$displaystyleu=x^2+(y-1)^2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img217.gif">'; $key = q/{_inline}$displaystylea_ii;=;a_iitimesVTGmboxhspace1cminsteadofhspace1cma_ii;=;VTG${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img121.gif">'; $key = q/{_inline}$A_22${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img116.gif">'; $key = q/{_inline}$displaystyleleft{arrayrcll-Deltapsi;SPM_amp;=;SPM_amp;mboxcurlvecv;SPM_amp;displaystylefracpartialpsipartialn|_deltaOmega;SPM_amp;=;SPM_amp;vecv.vectau;SPM_amp;mboxondeltaOmegaarrayright.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img266.gif">'; $key = q/{_inline}$Rightarrow${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img153.gif">'; $key = q/{figure}[htbp]hboxtohsizehssplotftroisdfig20.ps8cm8cmhss{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img238.gif">'; $key = q/{_inline}$psi${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img267.gif">'; $key = q/{_inline}$f^Omega${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img147.gif">'; $key = q/{_inline}$k_12${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img160.gif">'; $key = q/{_inline}$displaystyledisplaystylefrac(18.3-17.9869)18.3times100=1.71%${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img172.gif">'; $key = q/{figure}[htbp]hboxtohsizehssplotftroisdfig22.ps8cm8cmhss{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img265.gif">'; $key = q/{}(x=(x_p,y_p)){}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img184.gif">'; $key = q/{}(E){}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img228.gif">'; $key = q/{_inline}$tildeu_L${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img89.gif">'; $key = q/{_inline}$N^NDIM${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img280.gif">'; $key = q/{_inline}$tildeA_11${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img85.gif">'; $key = q/{_inline}$dimV_h=tildeN${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img28.gif">'; $key = q/{_inline}$N_h${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img34.gif">'; $key = q/{_inline}$displaystyleA;=;mbox^tL;L${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img131.gif">'; $key = q/{figure}[htp]centersetlengthunitlength1mmpicture(80,80)(0,0)put(0,0)framebox(80,80)inputfig8picturecenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img200.gif">'; $key = q/{figure}[htbp]hboxtohsizehssplotftroisdfigint2.ps10cm10cmhss{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img100.gif">'; $key = q/{_inline}$bfNOPT;SPM_gt;0${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img151.gif">'; $key = q/{_inline}$^th${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img140.gif">'; $key = q/{_inline}$L_1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img191.gif">'; $key = q/{_inline}$V_h${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img20.gif">'; $key = q/{_inline}$u(u_1,u_2)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img224.gif">'; $key = q/{_inline}$displaystyle[b_T];=;int_T;mbox^t[P]f;dOmega${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img64.gif">'; $key = q/{_inline}$[A]=[L];[D];^t[L]${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img5.gif">'; $key = q/{_inline}$R_1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img187.gif">'; $key = q/{_inline}$T_1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img101.gif">'; $key = q/{figure}[htp]centersetlengthunitlength1mmpicture(80,80)(0,0)put(0,0)framebox(80,80)inputfig14picturecenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img220.gif">'; $key = q/{_inline}$displaystyle{tildeu};=;[U_1,U_0]${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img127.gif">'; $key = q/{_inline}$^infty${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img260.gif">'; $key = q/{_inline}$vectau${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img269.gif">'; $key = q/{figure}[htbp]hboxtohsizehssplotftroisdfigtest4iso.ps8cm8cmhss{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img219.gif">'; $key = q/{_inline}$;a=1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img114.gif">'; $key = q/{_inline}$V_0h${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img21.gif">'; $key = q/{_inline}$displaystyle[tildeB];=;sum_TincalT_h;mbox^t[B_T]{b_T}${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img109.gif">'; $key = q/{_inline}$^1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img252.gif">'; $key = q/{picture}(107,107)(3,0)thinlinessetlengthunitlength0.5cmput(3,6.5)smallline3put(6,3.5)smallline2put(3,0.6)smallline1put(0.5,1.4)smallline6put(0.5,6)smallline4put(1.9,3.8)smallline5setlengthunitlength1cmput(0,0)makebox(4,4)plotftroisdfigex1.ps4cm4cm%{picture}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img139.gif">'; $key = q/{_inline}$ast80${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img279.gif">'; $key = q/{_inline}$displaystyleleft{arrayrcl-Deltau+6u;SPM_amp;=;SPM_amp;6xy(3-2x^2-2y^2+x^2y^2)mboxhspace1cminhspace1cmOmegau|_Gamma_1;SPM_amp;=;SPM_amp;0u|_Gamma_2;SPM_amp;=;SPM_amp;(x-x^3)(y-y^3)arrayright.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img132.gif">'; $key = q/{_inline}$tildeimathinN_h${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img36.gif">'; $key = q/{_inline}$displaystyleT=18.3^oC${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img170.gif">'; $key = q/{_inline}$displaystyleleft{arrayrcll-52Deltau;SPM_amp;=;SPM_amp;0;SPM_amp;mboxinOmega52displaystylefracpartialupartialn+750u;SPM_amp;=;SPM_amp;0;SPM_amp;mboxonBC,;CDu;SPM_amp;=;SPM_amp;100;SPM_amp;mboxonABdisplaystylefracpartialupartialn;SPM_amp;=;SPM_amp;0;SPM_amp;mboxonADarrayright.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img168.gif">'; $key = q/{_inline}$vecv${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img268.gif">'; $key = q/{_inline}$Gamma_2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img134.gif">'; $key = q/{_inline}$VTGtimesU_0${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img118.gif">'; $key = q/{_inline}$[M_T]${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img155.gif">'; $key = q/{_inline}$displaystyle[tildeA];=;sum_TincalT_h;mbox^t[B_T][A_T][B_T]${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img108.gif">'; $key = q/{_inline}$[I:]${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img145.gif">'; $key = q/{}(=1){}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img183.gif">'; $key = q/{_inline}$tildeimathintildeN${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img35.gif">'; $key = q/{}(P){}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img186.gif">'; $key = q/{_inline}$displaystyleoverlineOmega=bigcup_TincalT_h;T.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img27.gif">'; $key = q/{_inline}$bfNOPT;SPM_lt;0${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img152.gif">'; $key = q/{_inline}$displaystyle{u_T}=[B_T]{tildeu}.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img33.gif">'; $key = q/{_inline}$0.12exp-04${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img263.gif">'; $key = q/{_inline}$VTGgga${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img112.gif">'; $key = q/{_inline}$v_hinV_0h${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img19.gif">'; $key = q/{}(Gamma_2){}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img197.gif">'; $key = q/{_inline}$displaystyleleft{arrayrclldisplaystyle-sum_j=1^2fracpartialsigma_ijpartialx_j;SPM_amp;=;SPM_amp;0;SPM_amp;i=1,2mboxinOmega;inR^2sigma_ij;n_ij;SPM_amp;=;SPM_amp;(vecP)_i;delta_P;SPM_amp;mboxonGamma_3;(mboxcircler_3)u_2;SPM_amp;=;SPM_amp;0;SPM_amp;mboxonGamma_1vecu.;vecn;SPM_amp;=;SPM_amp;0;SPM_amp;mboxonGamma_2,;vecnmboxnormaltoGamma_2epsilon_ij(vecu);SPM_amp;=;SPM_amp;displaystylefrac12(fracpartialu_ipartialx_j+fracpartialu_jpartialx_i);SPM_amp;i,j=1,2sigma_ij;SPM_amp;=;SPM_amp;displaystylelambda;epsilon_kkdelta_ij+2muepsilon_ij;SPM_amp;;SPM_amp;=;SPM_amp;displaystylefracEnu(nu+1)(1-2nu);epsilon_kk;delta_ij+fracEnu+1;epsilon_ij;SPM_amp;i,j=1,2arrayright.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img177.gif">'; $key = q/{_inline}$r_1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img175.gif">'; $key = q/{figure}[htbp]hboxtohsizehssplotftroisdfig15.ps10cm10cmhss{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img230.gif">'; $key = q/{_inline}$string@lraspace${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img1.gif">'; $key = q/{_inline}$Gamma${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img13.gif">'; $key = q/{_inline}$0.16exp-04${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img259.gif">'; $key = q/{_inline}$displaystyleleft{arrayrclldisplaystyle-sum_j=1^2fracpartialsigma_ijpartialx_j;SPM_amp;=;SPM_amp;0;SPM_amp;i=1,2mboxinOmegasubsetRe^2displaystylesum_j=1^2sigma_ijn_j;SPM_amp;=;SPM_amp;f_i^Gamma;SPM_amp;i=1,2mboxonGamma_3;,mboxandf^Gamma=left{arrayl0-1arrayright.u_i;SPM_amp;=;SPM_amp;0;SPM_amp;i=1,2mboxonGamma_1epsilon_ij(u);SPM_amp;=;SPM_amp;displaystylefrac12(fracpartialu_ipartialx_j+fracpartialu_jpartialx_i);SPM_amp;i,j=1,2sigma_ij(u);SPM_amp;=;SPM_amp;displaystylelambda;epsilon_kkdelta_ij+2muepsilon_ij;SPM_amp;;SPM_amp;=;SPM_amp;displaystylefracEnu(nu+1)(1-2nu);epsilon_kkdelta_ij+fracEnu+1;epsilon_ij;SPM_amp;i,j=1,2arrayright.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img227.gif">'; $key = q/{_inline}$displaystyleGamma_3left{arraylsigma_11=0sigma_12=-1arrayright.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img222.gif">'; $key = q/{_inline}$ast${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img283.gif">'; $key = q/{_inline}$x_1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img225.gif">'; $key = q/{figure}[htp]centersetlengthunitlength1mmpicture(80,80)(0,0)put(0,0)framebox(80,80)inputfig19picturecenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img234.gif">'; $key = q/{_inline}$geq0${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img9.gif">'; $key = q/{}(delta_P(x)){}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img180.gif">'; $key = q/{_inline}$displaystyle[K_T];=;int_T;mbox^t[DP][DP];dOmega${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img62.gif">'; $key = q/{_inline}$trightarrow+infty${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img237.gif">'; $key = q/{_inline}$w_i(j)=delta_ij${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img38.gif">'; $key = q/{_inline}$B_2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img117.gif">'; $key = q/{_inline}$tildeA${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img71.gif">'; $key = q/{_inline}$displaystyleleft{arrayrcll-Deltau;SPM_amp;=;SPM_amp;-4;SPM_amp;mboxinOmegasubsetRe^2displaystylefracpartialupartialn+3u;SPM_amp;=;SPM_amp;-0.32;SPM_amp;mboxonGamma_1::x^2+(y-1)^2-0.16u;SPM_amp;=;SPM_amp;overlineu_0;SPM_amp;mboxonGamma_2arrayright.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img215.gif">'; $key = q/{_inline}$f^Gamma=0${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img157.gif">'; $key = q/{_inline}$displaystyleoverlineu_0=x^2+(y-1)^2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img216.gif">'; $key = q/{figure}[htbp]hboxtohsizehssplotftroisdfigex1.ps8cm8cmhss{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img135.gif">'; $key = q/{figure}[htbp]hboxtohsizehssplotftroisdfigex3.ps8cm8cmhss{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img163.gif">'; $key = q/{}(U,L){}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img249.gif">'; $key = q/{_inline}$L_2${_inline}/;

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