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$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img959.gif">'; $key = q/{_inline}$sigma.vecM(s).mboxmesure(partialK).mboxsigne(..)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img852.gif">'; $key = q/{_inline}$j^graveeme${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img705.gif">'; $key = q/{_inline}$omega_1=1over2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img524.gif">'; $key = q/{_inline}$displaystyledivq=fracpartialq_1partialx_1+mboxldotsfracpartialq_mpartialx_m${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img737.gif">'; $key = q/{figure}[htbp]centerframeboxinpute_figclot.texcenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img509.gif">'; $key = q/{_inline}$f^Gamma(1,S_2)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img817.gif">'; $key = q/{figure}[htbp]centerframeboxinpute_fig2p2d.texcenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img318.gif">'; $key = q/{_inline}$barOmega${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img752.gif">'; $key = q/{_inline}$f^Gamma(i)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img826.gif">'; $key = q/{_inline}$partialu_ioverpartialt${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img331.gif">'; $key = q/{_inline}$[calD]${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img193.gif">'; $key = q/{_inline}$hatS_19:(0.5,1.,1.)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img454.gif">'; $key = q/{_inline}$partial^3PHIoverpartialypartialypartialy${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img582.gif">'; $key = q/{_inline}$arraylldisplaystyleM^baru={;SPM_amp;displaystylemu,muinprod_TinT_hL^2(partialT),forallT'inT_h,T'=T_1capT_2mboxavecT_1mboxetT_2inT_h,;SPM_amp;displaystylemu_T_1=mu_T_2mboxsurT'mboxet,mu_|partialTcapGamma_0=baruforallTinT_h}array${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img768.gif">'; $key = q/{_inline}$left|NOTELright|=1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img822.gif">'; $key = q/{_inline}$hatS_14:(1.,0.,1.)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img489.gif">'; $key = q/{_inline}$u_1,u_2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img387.gif">'; $key = q/{_inline}$calIm(nu)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img683.gif">'; $key = q/{_inline}$displaystylewidetildeV_h=left{tildev_h=(v_h1,v_h2,v_h3,phi_h),tildev_hinX^4_hrm~~tel~que~v_himid_Gamma_1=overlineu_irm~et~phi_hmid_Gamma^e_1=overlinePhiright}${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img961.gif">'; $key = q/{_inline}$u_retouz${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img523.gif">'; $key = q/{figure}[htbp]centerframeboxinpute_fig2q1d.texcenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img356.gif">'; $key = q/{_inline}$f^Gamma(1,x,S_2)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img290.gif">'; $key = q/{_inline}$p_i=lambda_i${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img21.gif">'; $key = q/{_inline}$displaystyleE_ijkh=E_khij=E_jihk${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img63.gif">'; $key = q/{_inline}$f^Gamma(2,y,S_2)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img293.gif">'; $key = q/{_inline}${calRe(f^Omega_1),calIm(f^Omega_1),calRe(f^Omega_2),calIm(f^Omega_2)}(i,k)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img711.gif">'; $key = q/{_inline}$displaystyle-int_Omegaleft[s_ij(u_h)e_kijE_k(phi_h)+E_i(Phi_h)e_ijks_jk(v_h)right]dunderlinermx-int_OmegaE_i(phi_h)varepsilon^S_ijE_j(Phi_h)dunderlinermx${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img965.gif">'; $key = q/{_inline}$hatS_7:(0.,0.,0.)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img482.gif">'; $key = q/{_inline}$S_1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img284.gif">'; $key = q/{_inline}$calRe(E_44)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img696.gif">'; $key = q/{_inline}$u_3,1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img658.gif">'; $key = q/{_inline}$varepsilon^S_ii${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img1029.gif">'; $key = q/{_inline}$u_3.2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img659.gif">'; $key = q/{_inline}$b_2=beta${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img878.gif">'; $key = q/{_inline}$uinH(div;Omega)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img739.gif">'; $key = q/{_inline}$displaystylea(w_h,v_h)=l(v_h),quadforallv_hinV^0_h${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img219.gif">'; $key = q/{figure}[htbp]centerframeboxinputet_fig121.texcenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img15.gif">'; $key = q/{_inline}$8over405${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img391.gif">'; $key = q/{_inline}$overlineOmega${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img244.gif">'; $key = q/{_inline}$hatS_11:(1.,0.,1.)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img486.gif">'; $key = q/{figure}[htbp]centerframeboxinpute_fighhj1.texcenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img503.gif">'; $key = q/{_inline}$Phi_0${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img942.gif">'; $key = q/{_inline}$omega_i=1over6${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img328.gif">'; $key = q/{_inline}$n_j${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img54.gif">'; $key = q/{_inline}$calDu_|T${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img810.gif">'; $key = q/{_inline}$displaystyleleft.arrayldisplaystyleQ_n(w)=-D[(w,_111+nuw,_122)n_1+(nuw,_112+w,_222)n_2+(1-nu)(w,_112n_2+w,_122n_1)]displaystyleM_ntau(w)=D[-(w,_11+nuw,_22)n_1n_2+(nuw,_11+w,_22)n_1n_2+(1-nu)w,_12(n^2_1-n^2_2)]arrayright.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img211.gif">'; $key = q/{_inline}$overlineu${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img726.gif">'; $key = q/{_inline}$u_x,u_yinP3^prime${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img643.gif">'; $key = q/{figure}[htbp]centerframeboxinputt_fig2p1s.texcenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img924.gif">'; $key = q/{_inline}$u_h${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img80.gif">'; $key = q/{figure}[htbp]centerframeboxinpute_fig2q2c.texcenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img361.gif">'; $key = q/{figure}[htbp]centerframeboxinpute_fig3p1d.texcenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img378.gif">'; $key = q/{_inline}$vecphi${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img245.gif">'; $key = q/{_inline}$w_l${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img87.gif">'; $key = q/{_inline}${calRe(f^Omega)(i,2j-1,k)(i=1,NDSM;j=1,3;k=1,npiv${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img704.gif">'; $key = q/{_inline}$calB_T${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img791.gif">'; $key = q/{_inline}$displaystyleX_h={v_h,v_hinC^k(Omega);v_h_TinP_T,forallTincalT_h}${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img731.gif">'; $key = q/{_inline}$piover2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img213.gif">'; $key = q/{_inline}$n_z${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img167.gif">'; $key = q/{_inline}$k_11,k_12,k_22,${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img912.gif">'; $key = q/{_inline}$E_11,E_12,E_22,E_13,E_23,E_33${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img311.gif">'; $key = q/{_inline}$Gamma^prime_0${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img802.gif">'; $key = q/{_inline}$vecp.vecn(s).mboxmes(a).mboxsign(a)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img905.gif">'; $key = q/{_inline}$displaystylecalC={MinR^3,vecOM=vecphi(xi_1,xi_2)+xi_3veca_3,(xi_1,xi_2)inoverlineOmega,-1over2eleqxi_3leq1over2e}${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img249.gif">'; $key = q/{_inline}$pm2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img310.gif">'; $key = q/{_inline}$omega=...${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img859.gif">'; $key = q/{_inline}$displaystyleDP=DP(t,r,z)=left(arraycdisplaystylepartialp_1overpartialrdisplaystylepartialp_1overpartialzarrayarraycdisplaystylepartialp_2overpartialrdisplaystylepartialp_2overpartialzarrayarrayc......arrayarraycdisplaystylepartialp_noverpartialrdisplaystylepartialp_noverpartialzarrayright)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img183.gif">'; $key = q/{_inline}$omega_l${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img456.gif">'; $key = q/{_inline}$displaystyle[P]=[P(bx)]=[p_1(bx),p_2(bx),...,p_N_T(bx)]${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img777.gif">'; $key = q/{_inline}$E_2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img653.gif">'; $key = q/{_inline}$C^E_ij${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img1026.gif">'; $key = q/{_inline}$K_h,K_v,A,phi${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img551.gif">'; $key = q/{_inline}$widetildeV_h${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img958.gif">'; $key = q/{_inline}$u_i,p${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img492.gif">'; $key = q/{_inline}$calV_B_T${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img282.gif">'; $key = q/{_inline}$0;SPM_lt;.leq6${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img610.gif">'; $key = q/{_inline}$E_11,E_12,E_22,0,0,0,E_44,E_55,0,${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img668.gif">'; $key = q/{_inline}$beta=2665-14sqrt15over226800${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img399.gif">'; $key = q/{_inline}$left[tilderhoright]${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img975.gif">'; $key = q/{_inline}$hatS_1:(0.,0.,0.)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img379.gif">'; $key = q/{figure}[htbp]centerframeboxinpute_fig3p2c.texcenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img412.gif">'; $key = q/{_inline}$b_3=S_i,i+1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img323.gif">'; $key = q/{_inline}$calIm(E_11)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img685.gif">'; $key = q/{_inline}$displaystyle=2piint_Omega^primef^Omega(v_h)rdrdzquad+quad2piint_Gamma^prime_1f^Gamma_1(v_h)rdgamma${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img173.gif">'; $key = q/{_inline}$hatS_4:(1.,1.,0.)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img649.gif">'; $key = q/{_inline}$hatS_5:(0.,0.,1.)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img423.gif">'; $key = q/{_inline}$w_1=w_3=5over18${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img366.gif">'; $key = q/{_inline}$hatN_2:(1.,0.5)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img881.gif">'; $key = q/{_inline}$beta_1,beta_2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img715.gif">'; $key = q/{_inline}$overlinePhi${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img951.gif">'; $key = q/{_inline}$calT_h${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img5.gif">'; $key = q/{_inline}$b=155+sqrt15over2400=0.066197075${_inline}/;

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