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$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img342.gif">'; $key = q/{_inline}$calRe(u)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img929.gif">'; $key = q/{_inline}$omega_i=1over3${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img305.gif">'; $key = q/{_inline}$leq2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img599.gif">'; $key = q/{_inline}$e_2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img655.gif">'; $key = q/{_inline}$gamma=155+sqrt15over2400${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img476.gif">'; $key = q/{_inline}$f^Gamma(2,S_1)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img816.gif">'; $key = q/{_inline}$hatS_41:(0.,0.5)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img364.gif">'; $key = q/{_inline}$displaystylee:(xi_1,xi_2)inoverlineOmegarightarrowxinR^+${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img247.gif">'; $key = q/{_inline}$w_i${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img442.gif">'; $key = q/{_inline}$calIm(E_14)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img703.gif">'; $key = q/{_inline}$N_T${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img8.gif">'; $key = q/{_inline}$displaystyleDP=DP(bx)=left(arraycdisplaystylepartialp_1overpartialxdisplaystylepartialp_1overpartialyarrayarraycdisplaystylepartialp_2overpartialxdisplaystylepartialp_2overpartialyarrayarrayc......arrayarraycdisplaystylepartialp_noverpartialxdisplaystylepartialp_noverpartialyarrayright)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img148.gif">'; $key = q/{_inline}$(2over3,0.,1over3),(1over3,2over3,0.)(0.,1over3,2over3)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img518.gif">'; $key = q/{_inline}$hatS_11:(0.5,1.,0.)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img446.gif">'; $key = q/{_inline}$omega_i=3over80${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img521.gif">'; $key = q/{_inline}$tildes${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img970.gif">'; $key = q/{_inline}$d=9+2sqrt15over21=0.797427${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img407.gif">'; $key = q/{_inline}$b_i=S_imboxpuisS_i,i+1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img831.gif">'; $key = q/{_inline}$u_2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img300.gif">'; $key = q/{_inline}$displaystyleV_T^baru={v,vinprod_TinT_hH^1(T),vmboxcontinuauxinter-閘閙entsdeT_h,v_|Gamma_1=baru}${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img753.gif">'; $key = q/{_inline}$omega_1=omega_3=5over18${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img348.gif">'; $key = q/{_inline}$displaystylea(w,v)=l(v),quadforallvinV^0${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img216.gif">'; $key = q/{_inline}$f^Omega${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img42.gif">'; $key = q/{_inline}$f^Gamma(i,j,k)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img317.gif">'; $key = q/{_inline}$vecp,u${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img904.gif">'; $key = q/{_inline}$displaystyleDu_T=left(arraycdisplaystylepartialu_1overpartialxdisplaystylepartialu_1overpartialy...displaystylepartialu_2overpartialyarrayright)=[calDcalP]{u_T}${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img152.gif">'; $key = q/{_inline}$u,sigma${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img867.gif">'; $key = q/{_inline}$displaystyleleft.arrayldisplaystyleM_n(w)=-D[(w,_11+nuw,_22)n^2_1+(nuw,_11+w,_22)n^2_2+2(1-nu)w,_12n_1n_2]displaystyleK_n(w)=Q_n(w)-partialM_ntau(w)overpartialtauarrayright.${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img209.gif">'; $key = q/{_inline}$b_2=1over2+2over2sqrt3${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img527.gif">'; $key = q/{_inline}$K_n${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img206.gif">'; $key = q/{_inline}$(X_h,V_h)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img221.gif">'; $key = q/{_inline}$p_N_T(bx)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img99.gif">'; $key = q/{_inline}$rho,I,S${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img494.gif">'; $key = q/{_inline}$f^Gamma(1,y,S_1)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img287.gif">'; $key = q/{_inline}$X_h${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img83.gif">'; $key = q/{_inline}$calS_K_T${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img814.gif">'; $key = q/{_inline}$hatN_3:(a,0.,a)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img856.gif">'; $key = q/{_inline}$calIm(E_23)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img693.gif">'; $key = q/{_inline}$1over3${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img338.gif">'; $key = q/{_inline}$mu${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img65.gif">'; $key = q/{_inline}$L,omega_l,b_l,l=1,L${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img91.gif">'; $key = q/{_inline}$(P_T,Sigma_T)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img6.gif">'; $key = q/{_inline}$-varepsilon^S_23${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img1022.gif">'; $key = q/{_inline}$partial^2PHIoverpartialxpartialy${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img580.gif">'; $key = q/{figure}[htbp]centerframeboxinpute_fig2por.texcenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img493.gif">'; $key = q/{_inline}$hatS_17:(0.5,0.,1.)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img452.gif">'; $key = q/{_inline}$f^Gamma(1,S_12)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img819.gif">'; $key = q/{_inline}$C^E_15${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img990.gif">'; $key = q/{_inline}$mrmms${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img1035.gif">'; $key = q/{_inline}$omega_1=omega_2=1over2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img876.gif">'; $key = q/{_inline}$E_2,I_2,S_2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img630.gif">'; $key = q/{_inline}$b_l${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img88.gif">'; $key = q/{figure}[htbp]centerframeboxinputt_figm3h1.texcenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img906.gif">'; $key = q/{_inline}$C^E_36${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img999.gif">'; $key = q/{_inline}$displaystyleint_T^t[calP]rho[calP]dbx${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img121.gif">'; $key = q/{_inline}$omega_k=1over3${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img564.gif">'; $key = q/{_inline}$sigma_11,sigma_12,sigma_22${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img316.gif">'; $key = q/{_inline}$Gamma=Gamma^e_0cupGamma^e_1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img941.gif">'; $key = q/{_inline}$Gamma_2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img735.gif">'; $key = q/{_inline}$hatS_10:(0.,0.5,0.5)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img418.gif">'; $key = q/{_inline}$int_Tsigma_ij(u)epsilon_kh(u)dbx${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img93.gif">'; $key = q/{_inline}$hatN_2:(0.5,0.5)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img864.gif">'; $key = q/{_inline}$[sigma_T]${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img126.gif">'; $key = q/{_inline}$(p_h,phi_h)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img769.gif">'; $key = q/{_inline}$sigma_1inu_imboxsigne(ar阾e),sigma_2inu_imboxsigne(ar阾e)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img513.gif">'; $key = q/{_inline}$displaystyleA(u_r,u_z)=partialu_roverpartialr+1overru_r+partialu_zoverpartialz${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img165.gif">'; $key = q/{_inline}$calIm(u_2)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img675.gif">'; $key = q/{_inline}$u_x,u_y,u_z${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img642.gif">'; $key = q/{_inline}$sigma(i,j)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img1031.gif">'; $key = q/{_inline}$-varepsilon^S_11${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img987.gif">'; $key = q/{_inline}$psiinP1${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img499.gif">'; $key = q/{_inline}$omega=1over2${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img594.gif">'; $key = q/{_inline}$hatN_3:(0.,0.5)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img865.gif">'; $key = q/{figure}[htbp]centerframeboxinpute_fighp45.texcenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img519.gif">'; $key = q/{_inline}$u_r${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img160.gif">'; $key = q/{_inline}${sigma}${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img116.gif">'; $key = q/{_inline}$a=9-2sqrt15over21=0.05961587${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img404.gif">'; $key = q/{_inline}$e_16${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img1008.gif">'; $key = q/{_inline}$C^E_24${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img994.gif">'; $key = q/{_inline}$u=overlineu${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img788.gif">'; $key = q/{figure}[htbp]centerframeboxinputt_fig2p2d.texcenter{figure}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=BOTTOM ALT="" SRC="img825.gif">'; $key = q/{_inline}$partial^3PHIoverpartialxpartialypartialy${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img584.gif">'; $key = q/{_inline}$C^E_45${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img1000.gif">'; $key = q/{_inline}$omega_k=w_iw_j${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img365.gif">'; $key = q/{_inline}$(tildeu,psi)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img226.gif">'; $key = q/{_inline}$partialPHIoverpartialy${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img577.gif">'; $key = q/{_inline}$C^E_66${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img983.gif">'; $key = q/{_inline}$omega_i=1over240${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img520.gif">'; $key = q/{_inline}$M_n(tildev)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img230.gif">'; $key = q/{_inline}$f^Gamma(i,j)${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img496.gif">'; $key = q/{_inline}$rho,k,f^Omega${_inline}/;$cached_env_img{$key} ='<IMG BORDER=0 ALIGN=MIDDLE ALT="" SRC="img813.gif">'; $key = q/{_inline}$displaystyleleft.arrayldisplaystyleint_Tsigma_ij(u)epsilon_kh(v)dbxquad=quad^t{v}_T(int_T^t[calDcalP]^t[calD][E][calD][calDcalP]dbx){u}_Tdisplaystyleint_Tf^Omegavdbx+sum_Tintau_hint_TcupGamma_1f^GammavdGammadisplaystylequadquadquad=quad^t{v}_T(int_T^t[calP]{f^Omega}dbx+int_partialTcapGamma_0^t[calP]{f^Gamma}dGammaarrayright.${_inline}/;

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