# LaTeX2HTML 2008 (1.71)
# Associate images original text with physical files.


$key = q/displaystyleleft[D_wright]_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|77#77|; 

$key = q/displaystyle{0.75ast[{rmmax}(0.0,rho_s(i-1,k));MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|307#307|; 

$key = q/displaystyle-betaBigg[frac{overline{c^2}}{c_{pv}overline{rho}overline{theta}^2}DDeltatau}}{z}+(1-beta)DP{[Pi^{prime}]^{tau}}{z}right]Deltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|240#240|; 

$key = q/displaystylesum_{i}sum_{k}rho_s(i,k);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|370#370|; 

$key = q/displaystyleleft[C_{sc}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|100#100|; 

$key = q/displaystyle+left{1+beta^2left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}ovta}^2)_{1(w)}right}left[Pi^{prime}right]_{i,1}^{tau+Deltatau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|266#266|; 

$key = q/(i,k)=(M,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|333#333|; 

$key = q/displaystylefrac{9}{8}frac{H_{i(u),k+1}-H_{i(u),k}}{Deltax}-Dinv{24}frac{H_{i(u),k+2}-H_{i(u),k-1}}{Deltaz},Deqlab{RisanU};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|56#56|; 

$key = q/displaystyle+F_{i,k_m}+betaleft[frac{overline{c^2}(Deltatau)^2}{c_{pv}overline{rrho}overline{theta}^2)_{i,k_m(w)}E_{i,k_m(w)}.Deqlab{TrisanP};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|187#187|; 

$key = q/displaystylefrac{H_{i(u),k+1}+H_{i-1(u),k+1}+H_{i(u),k}+u_{i-1(u),k}}{4},Deqlab{RisanE};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|21#21|; 

$key = q/displaystyleleft(DP{V}{z}right)_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|41#41|; 

$key = q/displaystyle+{C_m}^2l^2left[left(DP{u}{x}right)^2_{i,k}+left(DP{w}{z}right)^2_{iight]+frac{{C_m}^2l^2}{2}left(DP{u}{z}+DP{w}{x}right)^2_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|120#120|; 

$key = q/displaystyleQSUMPN(i,k);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|305#305|; 

$key = q/displaystyleoverline{phi^t}=phi^t+mu_a(overline{phi^{t-Deltat}}-2phi^t+phi^{t+Deltat});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|228#228|; 

$key = q/displaystyleDQFILL(M+1,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|345#345|; 

$key = q/displaystyle+DQFILL(M+2,N)+DQFILL(M,N-2);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|373#373|; 

$key = q/displaystylefrac{phi_{i+1,k}-phi_{i,k}}{Deltax},Deqlab{RisanJ};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|32#32|; 

$key = q/displaystyle{F_w}_{i,k(w)}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|160#160|; 

$key = q/displaystylefrac{9}{8}frac{phi_{i,k+1}-phi_{i,k}}{Deltax}-Dinv{24}frac{phi_{i,k+2}-phi_{i,k-1}}{Deltaz},Deqlab{RisanS};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|54#54|; 

$key = q/displaystyle+rho_s(M,N)*QSUMPN(M,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|377#377|; 

$key = q/displaystylefrac{H_{i(u),k+1}-H_{i(u),k}}{Deltaz},Deqlab{RisanM};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|38#38|; 

$key = q/F_{theta};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|208#208|; 

$key = q/displaystyle-left[DP{}{x}left(rho_suright)right]_{i,k}-left[DP{}{z}left(rho_swriht]_{i,k}+left[M_{cond}right]_{i,k}+left[M_{fall}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|86#86|; 

$key = q/displaystyle1+beta^2left[frac{overline{c^2}(Deltatau)^2}{c_{pv}overline{rho}overe{rho}overline{theta}^2)_{i,k_m-1(w)},Deqlab{TrisanG-Deriv18};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|299#299|; 

$key = q/displaystyle-left[u_{i(u),k}left(DP{K_m}{x}right)_{i(u),k}right]_{i,k}^t-left[w_{i,k(w)}left(DP{K_m}{z}right)_{i,k(w)}right]_{i,k}^t;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|214#214|; 

$key = q/displaystyleDQFILL(M,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|342#342|; 

$key = q/displaystyle+rho_s(M,N-1)+rho_s(M,N+1)];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|365#365|; 

$key = q/displaystyle+{rmmin}(0.0,rho_s(i,k-1))*QSUMPN(i,k-1);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|320#320|; 

$key = q/displaystyle-beta^2left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{verline{theta}^2)_{k-1(w)}[Pi^{prime}]^{tau+Deltatau}_{i,k-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|294#294|; 

$key = q/displaystylew_{i,k(w)}^{tau}-c_{pv}overline{theta}_{i,k(w)}left[betaDP{[Pi^{prim}{z}+(1-beta)DP{[Pi^{prime}]^{tau}}{z}right]_{i,k(w)}Deltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|149#149|; 

$key = q/displaystyleDP{w_{i,k(w)}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|74#74|; 

$key = q/displaystyle-u_{i,k(w)}left(DP{w}{x}right)_{i,k(w)}-w_{i,k(w)}left(DP{w}{z}right)_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|75#75|; 

$key = q/displaystyle-beta^2left[frac{overline{c^2}(Deltatau)^2}{c_{pv}overline{rho}overlrline{rho}overline{theta}^2)_{i,k(w)},Deqlab{TrisanG-Deriv20};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|301#301|; 

$key = q/displaystyleeta_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|106#106|; 

$key = q/displaystyle[Pi^{prime}]_{i,k_m}^{tau}-(1-beta)left[frac{overline{c^2}Deltatau}{theta}}right]_{k_m}left[DP{u^{tau+Deltatau}}{x}right]_{i,k_m};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|186#186|; 

$key = q/displaystyle*{0.75*[{rmmin}(0.0,rho_s(i-1,k))*QSUMPN(i-1,k);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|318#318|; 

$key = q/1slash16;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|332#332|; 

$key = q/psi;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|30#30|; 

$key = q/bf{44};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|237#237|; 

$key = q/displaystylephi_{i(u),k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|16#16|; 

$key = q/displaystylehat{rho_s}(i,k);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|327#327|; 

$key = q/phi^{tau-Deltatau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|143#143|; 

$key = q/displaystyle+{rmmax}(0.0,rho_s(i,k-2));MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|313#313|; 

$key = q/displaystyleleft{1+beta^2left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}ovetheta}^2)_{k_m-1(w)}right}[Pi^{prime}]^{tau+Deltatau}_{i,k_m};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|281#281|; 

$key = q/displaystyle+0.25ast[{rmmax}(0.0,rho_s(i-2,k));MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|311#311|; 

$key = q/displaystyle{V_{term}}_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|96#96|; 

$key = q/displaystyle{F_u}_{i(u),k}^{t}=-left(u^tDP{u^t}{x}right)_{i(u),k}-left(w^tDP{u^t}^{t-Deltat}+left[D_u^{sfc}right]_{i(u),k}^{t}Deqlab{TrisanD};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|146#146|; 

$key = q/displaystyleleft(DP{(phiH)}{x}right)_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|49#49|; 

$key = q/displaystyle+DQFILL(M,N-1)+DQFILL(M,N+1);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|374#374|; 

$key = q/displaystyleleft(DP{phi}{x}right)_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|31#31|; 

$key = q/displaystylefrac{k_Boverline{theta}_{i,k}}{sqrt{2}pisigma^2p_0overline{Pi}^{c_{vv}slashR}_{i,k}},Deqlab{TrisanV5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|105#105|; 

$key = q/displaystylefrac{psi_{i(u),k(w)}-psi_{i-1(u),k(w)}}{Deltax},Deqlab{RisanP};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|44#44|; 

$key = q/displaystyle0.25*rho_s(M-2,N)rho_s(M,N)*QSUMPN(M,N),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|337#337|; 

$key = q/w^{tau+Deltatau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|164#164|; 

$key = q/displaystyleQSUMPN(M,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|363#363|; 

$key = q/displaystyleA_k;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|170#170|; 

$key = q/displaystyle-beta^2left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{w)}[Pi^{prime}]^{tau+Deltatau}_{i,k-1}Deqlab{TrisanG-Deriv13};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|293#293|; 

$key = q/bf{17};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|231#231|; 

$key = q/w;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|137#137|; 

$key = q/displaystyleV_{i(u),k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|28#28|; 

$key = q/displaystyleDQFILL(M+2,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|348#348|; 

$key = q/displaystyle-c_{pv}overline{theta}_{i,0(w)}left[betaDP{[Pi^{prime}]^{tau+Deltatau}}{z}+(1-beta)DP{[Pi^{prime}]^{tau}}{z}right]_{i,0(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|255#255|; 

$key = q/t;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|222#222|; 

$key = q/displaystyle-beta^2left[frac{overline{c^2}(Deltatau)^2}{c_{pv}overline{rho}overl_{pv}overline{rho}overline{theta}^2)_{i,k(w)},Deqlab{TrisanM};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|178#178|; 

$key = q/displaystyle-frac{overline{c^2}_{i,k}}{c_{pv}overline{rho}_{i,k}overline{theta}^left(DP{}{z}(overline{rho}overline{theta}w)right)_{i,k}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|82#82|; 

$key = q/rho_s;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|225#225|; 

$key = q/w_{i,k_m(w)}=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|270#270|; 

$key = q/displaystyle{0.75ast[rho_s(M-1,N)+rho_s(M+1,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|364#364|; 

$key = q/displaystyleB_k;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|175#175|; 

$key = q/{rmDiv}equiv(partialuslashpartialx)+(partialwslashpartialz);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|129#129|; 

$key = q/displaystyle+DQFILL(M,N)+DQFILL(M+1,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|372#372|; 

$key = q/displaystyle-u_{i,k}left(DP{theta}{x}right)_{i,k}-w_{i,k}left(DP{theta}{z}right)_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|111#111|; 

$key = q/displaystyle{R_h}_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|90#90|; 

$key = q/displaystyle+frac{{C_m}^2l^2}{2}left[left{left(DP{u}{z}right)_{i(u),k(w)}right}_eft(DP{w}{x}right)_{i(u),k(w)}right}_{i,k}^{t-Deltat}right]^2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|217#217|; 

$key = q/displaystyledelta_{1k}left{DP{}{z}[C_DV_{sfc}rho(T_{z_1}-T_{sfc})]right}_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|116#116|; 

$key = q/displaystyleDQFILL(i,k);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|315#315|; 

$key = q/displaystyleleft[D_{theta}^{sfc}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|115#115|; 

$key = q/displaystyle+left[frac{overline{c^2}}{c_{pv}overline{theta}^2overline{Pi}}(Q_{rad}+Q_{dis})right]_{i,k}DeltatauDeqlab{TrisanF};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|156#156|; 

$key = q/displaystyle+0.25*[rho_s(M-2,N)+rho_s(M+2,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|380#380|; 

$key = q/displaystyle-Dinv{24}frac{phi_{i,k+1(w)}V_{i,k+1(w)}-phi_{i,k-2(w)}V_{i,k-2(w)}}{Deltaz}.Deqlab{RisanZ-3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|65#65|; 

$key = q/displaystyle+F_{i,k_m}+betaleft[frac{overline{c^2}(Deltatau)^2}{c_{pv}overline{rline{theta}^2)_{i,k_m(w)}E_{i,k_m(w)}.Deqlab{TrisanG-Deriv23};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|304#304|; 

$key = q/displaystylelambda_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|104#104|; 

$key = q/displaystyle+left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{theta}L}{c_{pv}overline{T}}-1right)right]_{k}[M_{cond}^{tau}]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|193#193|; 

$key = q/phi^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|140#140|; 

$key = q/displaystyle-c_{pv}overline{theta}_{i,k_m(w)}left[betaDP{[Pi^{prime}]^{tau+Deltatau}}{z}+(1-beta)DP{[Pi^{prime}]^{tau}}{z}right]_{i,k_m(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|271#271|; 

$key = q/displaystylefrac{psi_{i(u),k(w)}-psi_{i(u),k-1(w)}}{Deltaz},Deqlab{RisanQ};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|46#46|; 

$key = q/bf{35};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|234#234|; 

$key = q/k=k_m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|253#253|; 

$key = q/displaystyleleft[Pi^{prime}right]_{i,k}^{tau+Deltatau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|152#152|; 

$key = q/K_m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|226#226|; 

$key = q/displaystyle{r_d}_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|98#98|; 

$key = q/displaystyle{pmatrix}A_1&B_2&cdots&0&0C_1&A_2&cdots&0&0colon&colon&&colon&colon0ime}_{k_m-1,k_m}&Pi^{prime}_{k_m,k_m}{pmatrix}^{tau+Deltatau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|165#165|; 

$key = q/displaystyle+frac{overline{c^2}_{i,k}}{c_{pv}overline{theta}_{i,k}^2overline{Pi}k}}left([Q_{rad}]_{i,k}+[Q_{dis}]_{i,k}right).Deqlab{RisanAD};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|84#84|; 

$key = q/displaystyle[Pi^{prime}]_{i,k}^{tau}-(1-beta)left[frac{overline{c^2}Deltatau}{c_}}right]_{k}left[DP{u^{tau+Deltatau}}{x}right]_{i,k}+F_{i,k},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|183#183|; 

$key = q/displaystyleleft(DP{H}{x}right)_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|35#35|; 

$key = q/u^{tau+Deltatau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|163#163|; 

$key = q/{figure}center{Depsf[78mm]{psslashtimesplit.ps}{{center{{figure};LFS=12;FSF=1.6;AAT/;
$cached_env_img{$key} = q|126#126|; 

$key = q/displaystyleDeqlab{D};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|338#338|; 

$key = q/displaystyle+left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{theta}_{rad}^{tau}+Q_{dis}^{tau})right]_{i,k}Deqlab{TrisanG-Deriv3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|249#249|; 

$key = q/displaystyle{rho_s}_{i,k}^{**};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|198#198|; 

$key = q/displaystyleDinv{Deltaz}left{(c_{pv}overline{rho}overline{theta}^2)_{1(w)}left[D}left[DP{[Pi^{prime}]^{tau+Deltatau}}{z}right]_{i,0(w)}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|263#263|; 

$key = q/displaystyle+left[D_{rho_s}right]_{i,k}.Deqlab{RisanAE};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|87#87|; 

$key = q/displaystyleD_{i,k_m};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|185#185|; 

$key = q/bf{50};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|236#236|; 

$key = q/displaystyleDeqlab{F};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|344#344|; 

$key = q/displaystyle+{rmmax}(0.0,rho_s(i,k+2))]}Deqlab{A};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|314#314|; 

$key = q/displaystyle-frac{{K_m}_{i,k}}{3}left(DP{u}{x}+DP{w}{z}right)_{i,k}+Dinv{2}left[m}^2}{x}right)_{i,k}+left(DP[2]{{K_m}^2}{z}right)_{i,k}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|121#121|; 

$key = q/displaystylesum_{i}sum_{k}rho_s(i,k)Deqlab{N};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|383#383|; 

$key = q/H;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|9#9|; 

$key = q/displaystyleleft[DP{left(alpha{rmDiv}right)^{tau}}{z}right]_{i,k(w)}-(1-beta)left}_{w}}{c_{pv}overline{theta}}right]_{i,k(w)},Deqlab{TrisanQ};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|189#189|; 

$key = q/(i(u),k(w));MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|6#6|; 

$key = q/displaystyleleft[u_{i(u),k}left(DP{rho_s}{x}right)_{i(u),k}right]_{i,k}+left[w_{i,k(w)}left(DP{rho_s}{z}right)_{i,k(w)}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|109#109|; 

$key = q/displaystyle-beta^2left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{}overline{theta}^2)_{k(w)}[Pi^{prime}]^{tau+Deltatau}_{i,k+1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|291#291|; 

$key = q/displaystyleDQFILL(M-1,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|339#339|; 

$key = q/displaystyleDP{Pi_{i,k}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|81#81|; 

$key = q/displaystyle-beta^2left[frac{overline{c^2}(Deltatau)^2}{c_{pv}overline{rho}overline{rho}overline{theta}^2)_{i,k-1(w)},Deqlab{TrisanG-Deriv19};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|300#300|; 

$key = q/displaystyleDP{u_{i(u),k}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|66#66|; 

$key = q/displaystylefrac{9}{8}frac{phi_{i(u),k}H_{i(u),k}-phi_{i-1(u),k}H_{i-1(u),k}}{Deltax};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|62#62|; 

$key = q/displaystyle+{rmmin}(0.0,rho_s(i+1,k))*QSUMPN(i+1,k);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|319#319|; 

$key = q/displaystyle+rho_s(M,N-2)+rho_s(M,N+2)]}^{-1}Deqlab{M};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|367#367|; 

$key = q/displaystyle+Dinv{2}left[left{DP{}{x}left(DP{K_m^2}{x}right)_{i(u),k}right}_{i,kleft(DP{K_m^2}{z}right)_{i,k(w)}right}_{i,k}^{t-Deltat}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|219#219|; 

$key = q/displaystyleDeqlab{K};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|359#359|; 

$key = q/displaystyleDinv{Deltaz}left{(c_{pv}overline{rho}overline{theta}^2)_{1(w)}Dinv{Drline{rho}overline{theta}^2)_{0(w)}Dinv{beta}E_{i,0(w)}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|264#264|; 

$key = q/Deltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|1#1|; 

$key = q/displaystyle-rho_s(M,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|343#343|; 

$key = q/displaystyleleft[DP{}{z}left(rho_sV_{term}right)right]_{i,k}Deqlab{TrisanV2},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|95#95|; 

$key = q/displaystyleleft(DP{psi}{x}right)_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|43#43|; 

$key = q/displaystyle-betaleft[frac{overline{c^2}(Deltatau)^2}{c_{pv}overline{rho}overlinoverline{theta}^2)_{i,0(w)}E_{i,0(w)},Deqlab{TrisanG-Deriv21};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|302#302|; 

$key = q/t-Deltat;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|147#147|; 

$key = q/displaystyle{rho_s}_{i,k}^{tau+Deltatau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|200#200|; 

$key = q/displaystyleleft[Pi^{prime}right]_{i,k_m}^{tau}-(1-beta)left[frac{overline{c^2}Dtheta}}right]_{k_m}left[DP{u^{tau+Deltatau}}{x}right]_{i,k_m};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|284#284|; 

$key = q/displaystyle-u_{i,k}^{t}left(DP{{theta^{prime}}^t}{x}right)_{i,k}-w_{i,k}^{t}left)_{i,k}-w_{i,k}^{t}left(DP{overline{theta}^t}{z}right)_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|210#210|; 

$key = q/bf{29};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|233#233|; 

$key = q/displaystyleV_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|24#24|; 

$key = q/displaystyleE_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|188#188|; 

$key = q/displaystyle1+frac{4}{3}left[K_nright]_{i,k},Deqlab{TrisanV4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|101#101|; 

$key = q/displaystyleA_1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|168#168|; 

$key = q/phi^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|142#142|; 

$key = q/displaystyleC_k;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|177#177|; 

$key = q/displaystyle-beta^2left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{_{k(w)}left[DP{[Pi^{prime}]^{tau+Deltatau}}{z}right]_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|287#287|; 

$key = q/displaystyleDP{phi}{t}+UDP{phi}{x}=0Deqlab{TrisanA};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|123#123|; 

$key = q/displaystyle(k=2,3,dots,k_m-1)Deqlab{TrisanG-Deriv22};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|303#303|; 

$key = q/theta^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|224#224|; 

$key = q/displaystyle-left(u^tDP{w^t}{x}right)_{i,k(w)}-left(w^tDP{w^t}{z}right)_{i,k(w)})}}{overline{Pi}^{c_{vv}slashR}_{i,k(w)}}[rho_s]_{i,k(w)}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|161#161|; 

$key = q/{rho_s}_{i,k}^{**};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|203#203|; 

$key = q/displaystyleu_{i(u),k}^{tau+Deltatau}=u_{i(u),k}^{tau}-left(c_{pv}overline{thetat)_{i,u(k)}Deltatau+{F_u}_{i(u),k}^{t}DeltatauDeqlab{TrisanC};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|144#144|; 

$key = q/DQFILL(i,k)=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|335#335|; 

$key = q/displaystyleleft[Pi^{prime}right]_{i,k}^{tau}-left[frac{overline{c^2}}{c_{pv}oveline{rho}overline{theta}u^{tau+Deltatau})right]_{i,k}Deltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|153#153|; 

$key = q/displaystyleDQFILL(M,N-2);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|351#351|; 

$key = q/displaystyleeta_{ref}left(frac{T_{ref}+C_{CO_2}}{overline{theta}_{i,k}overline{Poverline{Pi}_{i,k}}{T_{ref}}right)^{3slash2},Deqlab{TrisanV6};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|107#107|; 

$key = q/bf{120};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|238#238|; 

$key = q/displaystylebetaleft[DP{[Pi^{prime}]^{tau+Deltatau}}{z}right]_{i,0(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|257#257|; 

$key = q/bf{12};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|235#235|; 

$key = q/displaystyle+0.25ast[rho_s(M-2,N)+rho_s(M+2,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|366#366|; 

$key = q/DQFILL(i,k);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|330#330|; 

$key = q/displaystyle-c_{pv}overline{theta}_{i,k(w)}left(DP{Pi}{z}right)_{i,k(w)}+left[D_rline{Pi}^{c_{vv}slashR}}rho_sright)_{i,k(w)}.Deqlab{RisanAB};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|76#76|; 

$key = q/displaystyle-beta^2left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{ine{theta}^2)_{k_m-1(w)}[Pi^{prime}]^{tau+Deltatau}_{i,k_m-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|282#282|; 

$key = q/displaystyleleft[Pi^{prime}right]_{i,1}^{tau+Deltatau}-beta^2left[frac{overline{theta}^2)DP{[Pi^{prime}]^{tau+Deltatau}}{z}right}right]_{i,1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|261#261|; 

$key = q/displaystyleleft(DP{H}{z}right)_{i(u),k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|37#37|; 

$key = q/displaystyle+{rmmax}(0.0,rho_s(i,k+1))];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|310#310|; 

$key = q/displaystyleleft[K_nright]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|102#102|; 

$key = q/displaystylebetaleft[DP{[Pi^{prime}]^{tau+Deltatau}}{z}right]_{i,0(w)}=E_{i,0(w)}.Deqlab{TrisanG-Deriv7};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|260#260|; 

$key = q/displaystyleDP{{rho_s}_{i,k}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|85#85|; 

$key = q/displaystyle-beta^2left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{w)}Dinv{(Deltaz)^2}left[Pi^{prime}right]_{i,2}^{tau+Deltatau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|265#265|; 

$key = q/phi^{tau+Deltatau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|139#139|; 

$key = q/displaystylefrac{{p_0}^{frac{c_{pv}}{R}}Pi_{i,k}}{left[p_{ast}right]_{i,k}},Deqlab{TrisanS4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|93#93|; 

$key = q/displaystyleleft[u_{i(u),k}left(DP{theta}{x}right)_{i(u),k}right]_{i,k}+left[w_{i,k(w)}left(DP{theta}{z}right)_{i,k(w)}right]_{i,k},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|114#114|; 

$key = q/displaystyleleft[Pi^{prime}right]_{i,k}^{tau+Deltatau}-beta^2left[frac{overline{theta}^2)DP{[Pi^{prime}]^{tau+Deltatau}}{z}right}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|245#245|; 

$key = q/displaystyle+{rmmin}(0.0,rho_s(i,k-2))*QSUMPN(i,k-2);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|324#324|; 

$key = q/displaystyle-c_{pv}overline{theta}_{i(u),k}left(DP{Pi}{x}right)_{i(u),k}+left[D_right]_{i(u),k}+left[D_u^{sfc}right]_{i(u),k}.Deqlab{RisanAA};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|68#68|; 

$key = q/displaystyle{rho_s}_{i,k}^{*};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|196#196|; 

$key = q/displaystyle-{rmmin}(0.0,rho_s(i,k));MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|316#316|; 

$key = q/displaystyleleft[Pi^{prime}right]_{i,k}^{tau}-left[frac{overline{c^2}}{c_{pv}ovea}}right]_{k}left[DP{u^{tau+Deltatau}}{x}right]_{i,k}Deltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|246#246|; 

$key = q/displaystyle+{C_m}^2l^2left[left(DP{u}{x}right)^2right]_{i,k}^{t-Deltat}+{C_m}^2l^2left[left(DP{w}{z}right)^2right]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|216#216|; 

$key = q/displaystyleDQFILL(M-2,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|336#336|; 

$key = q/hat{rho_s};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|329#329|; 

$key = q/displaystyleDeqlab{I};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|353#353|; 

$key = q/displaystyle{rho_s}_{i,k}^{tau}+left[M_{fall}right]_{i,k}^{tau}Deltatau+left[F_{rho_s}right]_{i,k}^{t}Deltatau,Deqlab{TrisanU-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|197#197|; 

$key = q/displaystyle+beta^2left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{tau+Deltatau}_{i,k}-[Pi^{prime}]^{tau+Deltatau}_{i,k-1}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|290#290|; 

$key = q/displaystyle+{rmmax}(0.0,rho_s(i,k-1));MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|309#309|; 

$key = q/phi;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|8#8|; 

$key = q/t+Delta;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|223#223|; 

$key = q/displaystyle+rho_s(M,N+2)+rho_s(M,N+2)]};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|381#381|; 

$key = q/displaystyleE_{i,k_m(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|274#274|; 

$key = q/displaystyleleft(DP{psi}{z}right)_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|45#45|; 

$key = q/F_{rho_s};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|204#204|; 

$key = q/displaystylefrac{H_{i(u),k}+H_{i-1(u),k}}{2},Deqlab{RisanD};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|19#19|; 

$key = q/displaystyle+left[left{left(DP{K_m}{x}right)^2right}_{i(u),k}right]_{i,k}^{t-Delleft(DP{K_m}{z}right)^2right}_{i,k(w)}right]_{i,k}^{t-Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|220#220|; 

$key = q/displaystylesum_{i}sum_{k}rho_s(i,k)-rho_s(M,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|376#376|; 

$key = q/displaystyle-left[DP{}{x}({rho_s}^tu^t)right]_{i,k}-left[DP{}{z}({rho_s}^tw^t)right]_{i,k}+{D_{rho_s}}_{i,k}^{t}.Deqlab{TrisanV};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|206#206|; 

$key = q/k=1,k_m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|286#286|; 

$key = q/nu_V;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|134#134|; 

$key = q/displaystyleDeqlab{J};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|356#356|; 

$key = q/displaystyle2left[DP{}{z}left{left(K_{m}right)_{i,k}left(DP{w}{z}right)_{i,k}right}right]_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|78#78|; 

$key = q/displaystyle+rho_s(M,N)*QSUMPN(M,N)*QSUMPN(M,N)^{-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|382#382|; 

$key = q/displaystylefrac{V_{i,k(w)}+V_{i,k-1(w)}}{2},Deqlab{RisanG};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|25#25|; 

$key = q/displaystyleDeqlab{B};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|326#326|; 

$key = q/displaystylefrac{L^2}{kR[theta^2]_{i,k}[Pi^2]_{i,k}},Deqlab{TrisanS3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|91#91|; 

$key = q/displaystyle+c_{pv}overline{theta}left[DP{(alpha{rmDiv})}{z}right]Deltatau+{F_w}^{t}DeltatauBigg}Bigg)Bigg]_{i,k}Deltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|241#241|; 

$key = q/displaystyle{0.75*[rho_s(M-1,N)+rho_s(M+1,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|378#378|; 

$key = q/displaystyle=;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|12#12|; 

$key = q/displaystylefrac{V_{i+1,k(w)}+V_{i,k(w)}+V_{i+1,k-1(w)},V_{i,k-1(w)}}{4},Deqlab{RisanH};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|27#27|; 

$key = q/displaystylefrac{V_{i+1,k(w)}+V_{i,k(w)}}{2}.Deqlab{RisanI};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|29#29|; 

$key = q/displaystyle1+beta^2left[frac{overline{c^2}(Deltatau)^2}{c_{pv}overline{rho}over}overline{rho}overline{theta}^2)_{i,k_m-1(w)},Deqlab{TrisanK};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|174#174|; 

$key = q/displaystylephi_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|11#11|; 

$key = q/displaystyleH_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|18#18|; 

$key = q/displaystyle+{F_w}_{i,k_m(w)}^{t},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|273#273|; 

$key = q/displaystyle+frac{overline{c^2}_{i,k}}{c_{pv}overline{rho}_{i,k}overline{theta}_{L}{c_{pv}overline{T}_{i,k}}-1right)left[M_{cond}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|83#83|; 

$key = q/displaystyle+DQFILL(M,N+2);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|375#375|; 

$key = q/displaystyle+{rmmin}(0.0,rho_s(i+2,k))*QSUMPN(i+2,k);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|323#323|; 

$key = q/displaystyleH_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|20#20|; 

$key = q/displaystylefrac{H_{i(u),k+1}+H_{i(u),k}}{2},Deqlab{RisanF};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|23#23|; 

$key = q/displaystylefrac{9}{8}frac{phi_{i,k(w)}V_{i,k(w)}-phi_{i,k-1(w)}V_{i,k-1(w)}}{Deltax};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|64#64|; 

$key = q/displaystyle+left[D_wright]_{i,k(w)}^{t-Deltat}Deqlab{TrisanG};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|162#162|; 

$key = q/displaystylefrac{phi_{i,k(w)}V_{i,k(w)}-phi_{i,k-1(w)}V_{i,k-1(w)}}{Deltaz}.Deqlab{RisanQ4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|52#52|; 

$key = q/displaystyleleft[M_{cond}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|88#88|; 

$key = q/displaystyle+{F_w}_{i,k(w)}^{t}Deltatau,Deqlab{TrisanE};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|151#151|; 

$key = q/displaystyle+c_{pv}overline{theta}_{i,0(w)}left[DP{(alpha{rmDiv})}{z}right]_{i,0(w)}+{F_w}_{i,0(w)}^{t},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|256#256|; 

$key = q/displaystyle[F_{K_m}]_{i,k}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|213#213|; 

$key = q/displaystyleDQFILL(M,N-1);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|354#354|; 

$key = q/displaystyleleft[Pi^{prime}right]_{i,1}^{tau}-(1-beta)left[frac{overline{c^2}Dela}}right]_{1}left[DP{u^{tau+Deltatau}}{x}right]_{i,1}+F_{i,1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|268#268|; 

$key = q/displaystyleS_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|92#92|; 

$key = q/displaystyleleft[C_{sc}right]_{i,k}frac{2left[r_d^2right]_{i,k}grho_I}{9eta_{i,k}}Deqlab{TrisanV3},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|97#97|; 

$key = q/alpha;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|130#130|; 

$key = q/phi^{t+Deltat};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|138#138|; 

$key = q/displaystyleDinv{Deltaz}left{(c_{pv}overline{rho}overline{theta}^2)_{k_m(w)}Dinvau}_{i,k_m}-[Pi^{prime}]^{tau+Deltatau}_{i,k_m-1}right]right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|280#280|; 

$key = q/overline{phi};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|227#227|; 

$key = q/displaystylefrac{9}{8}frac{phi_{i+1,k}-phi_{i,k}}{Deltax}-Dinv{24}frac{phi_{i+2,k}-phi_{i-1,k}}{Deltaz},Deqlab{RisanR};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|53#53|; 

$key = q/mu_a;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|229#229|; 

$key = q/displaystyleDeqlab{G};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|347#347|; 

$key = q/displaystyle{theta^{prime}}_{i,k}^{tau+Deltatau}={theta^{prime}}_{i,k}^{tau}+{F_{**}_{i,k}}{c_{pv}overline{rho}_{i,k}}DeltatauDeqlab{TrisanS};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|207#207|; 

$key = q/displaystyle-betaleft[frac{overline{c^2}}{c_{pv}overline{rho}overline{theta}^2}D}{z}(overline{rho}overline{theta}w^{tau})right]_{i,k}Deltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|154#154|; 

$key = q/displaystyleleft[DP{left(alpha{rmDiv}right)^{tau}}{z}right]_{i,k_m(w)}-(1-beta)l_{pv}overline{theta}}right]_{i,k_m(w)}Deqlab{TrisanG-Deriv10};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|276#276|; 

$key = q/displaystyleDQFILL(M,N+2);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|360#360|; 

$key = q/displaystyleleft[M_{fall}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|94#94|; 

$key = q/displaystyle+left{1+beta^2left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}oveta}^2)_{k-1(w)}right]right}[Pi^{prime}]^{tau+Deltatau}_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|292#292|; 

$key = q/displaystyle1+beta^2left[frac{overline{c^2}(Deltatau)^2}{c_{pv}overline{rho}overrline{rho}overline{theta}^2)_{i,1(w)},Deqlab{TrisanG-Deriv16};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|297#297|; 

$key = q/displaystylefrac{phi_{i,k(w)}-phi_{i,k-1(w)}}{Deltaz},Deqlab{RisanQ2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|48#48|; 

$key = q/displaystyle[Pi^{prime}]_{i,1}^{tau}-(1-beta)left[frac{overline{c^2}Deltatau}{c_a}}right]_{1}left[DP{u^{tau+Deltatau}}{x}right]_{i,1}+F_{i,1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|180#180|; 

$key = q/Pi^{prime};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|127#127|; 

$key = q/displaystyle0.25*rho_s(M,N-2)rho_s(M,N)*QSUMPN(M,N),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|352#352|; 

$key = q/displaystyle+left(DP{{K_m}}{x}right)^2_{i,k}+left(DP{{K_m}}{z}right)^2_{i,k}-frac{C_{varepsilon}}{2C_ml^2}{K_m}^2_{i,k}.Deqlab{RisanAF};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|122#122|; 

$key = q/displaystylenu_HDP[2]{phi}{x}+nu_VDP[2]{phi}{z}Deqlab{NumDisp1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|132#132|; 

$key = q/(i,k)=(M-2,N),(M-1,N),(M,N),(M+1,N),(M+2,N),(M,N-2),(M,N-1),(M,N+1),(M,N+2);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|334#334|; 

$key = q/mu_a=0.1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|230#230|; 

$key = q/displaystyleleft(DP{phi}{z}right)_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|47#47|; 

$key = q/displaystylePi^{prime}-alpha{rmDiv}Deqlab{SoundDecay1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|128#128|; 

$key = q/displaystylefrac{9}{8}frac{V_{i,k(w)}-V_{i,k-1(w)}}{Deltax}-Dinv{24}frac{V_{i,k+1(w)}-V_{i,k-2(w)}}{Deltaz},Deqlab{RisanW};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|58#58|; 

$key = q/displaystylealpha=5.0times10^{-7}timesfrac{{rmmin}[(Deltax)^2,(Deltaz)^2]}{Deltatau}Deqlab{SoundDecay2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|131#131|; 

$key = q/displaystylefrac{phi_{i+1,k}+phi_{i,k}}{2},Deqlab{RisanA};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|13#13|; 

$key = q/displaystyle-betaleft[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{theta}^2}right]_{k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|247#247|; 

$key = q/displaystyle-(1-beta)left[frac{overline{c^2}}{c_{pv}overline{rho}overline{theta}}{z}(overline{rho}overline{theta}w^{tau})right]_{i,k}Deltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|242#242|; 

$key = q/k=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|252#252|; 

$key = q/left[Pi^{prime}right]^{tau+Deltatau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|244#244|; 

$key = q/displaystyle0.75*rho_s(M+1,N)rho_s(M,N)*QSUMPN(M,N),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|346#346|; 

$key = q/(i,k);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|3#3|; 

$key = q/beta;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|157#157|; 

$key = q/(i(u),k);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|4#4|; 

$key = q/displaystyle={pmatrix}D_{1,1}&D_{2,1}&cdots&D_{k_m-1,1}&D_{k_m,1}D_{1,2}&D_{2,2}cdots&D_{k_m-1,k_m}&D_{k_m,k_m}{pmatrix}^{tau}Deqlab{TrisanH};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|166#166|; 

$key = q/displaystylefrac{V_{i+1,k(w)}-V_{i,k(w)}}{Deltax},Deqlab{RisanN};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|40#40|; 

$key = q/displaystyleDeqlab{L};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|362#362|; 

$key = q/displaystyle+Dinv{overline{Pi}_{i,k}}(Q_{rad}+Q_{dis})_{i,k}^{t}+[{D_{theta}}]_{i,k}^{t-Deltat}+[{D_{theta}^{sfc}}]_{i,k}^{t}Deqlab{TrisanT};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|211#211|; 

$key = q/displaystyle+beta^2left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{1(w)}left[DP{[Pi^{prime}]^{tau+Deltatau}}{z}right]_{i,k-1(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|288#288|; 

$key = q/displaystyle={pmatrix}D_{1,1}&D_{2,1}&cdots&D_{k_m-1,1}&D_{k_m,1}D_{1,2}&D_{2,2}k_m-1,k_m}&D_{k_m,k_m}{pmatrix}^{tau},Deqlab{TrisanG-Deriv15};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|296#296|; 

$key = q/displaystyle{rho_s}_{i,k}^{**}+left[M_{cond}right]_{i,k}^{**}Deltatau.Deqlab{TrisanU-3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|201#201|; 

$key = q/displaystyle{K_m}_{i,k}^{t+Deltat}={K_m}_{i,k}^{t-Deltat}+2Deltat[F_{K_m}]_{i,k}^{t}Deqlab{TrisanW};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|212#212|; 

$key = q/displaystyle1.0slash;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|306#306|; 

$key = q/displaystyle+{rmmax}(0.0,rho_s(i+1,k));MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|308#308|; 

$key = q/displaystyle+left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{theta}_{rad}^{tau}+Q_{dis}^{tau})right]_{i,k}Deqlab{TrisanG-Deriv2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|248#248|; 

$key = q/displaystylefrac{9}{8}frac{psi_{i(u),k(w)}-psi_{i-1(u),k(w)}}{Deltax}-Dinv{24}frc{psi_{i+1(u),k(w)}-psi_{i-2(u),k(w)}}{Deltaz},Deqlab{RisanX};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|59#59|; 

$key = q/displaystyle0.75*rho_s(M,N-1)rho_s(M,N)*QSUMPN(M,N),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|355#355|; 

$key = q/displaystyle-Dinv{24}frac{phi_{i+1(u),k}H_{i+1(u),k}-phi_{i-2(u),k}H_{i-2(u),k}}{Deltaz},Deqlab{RisanZ-2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|63#63|; 

$key = q/displaystylerho_s(i,k)+DQFILL(i,k)Deqlab{C}.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|328#328|; 

$key = q/displaystyle-beta^2left[frac{overline{c^2}(Deltatau)^2}{c_{pv}overline{rho}overlpv}overline{rho}overline{theta}^2)_{i,k-1(w)},Deqlab{TrisanL};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|176#176|; 

$key = q/displaystyle-u_{i,k}left(DP{{K_m}}{x}right)_{i,k}-w_{i,k}left(DP{{K_m}}{z}right)_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|118#118|; 

$key = q/displaystyleleft(DP{V}{x}right)_{i(u),k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|39#39|; 

$key = q/displaystyleDeqlab{E};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|341#341|; 

$key = q/displaystyle+DQFILL(M-2,N)+DQFILL(M-1,N);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|371#371|; 

$key = q/displaystyleDP{{K_m}_{i,k}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|117#117|; 

$key = q/displaystyle-frac{3g{C_m}^2l^2}{2}left[Dinv{overline{theta}_{i,k}}left(DP{theta}}^{c_vslashR}}right)_{i,k}left(DP{rho_s}{z}right)_{i,k}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|119#119|; 

$key = q/displaystyleleft[Pi^{prime}right]_{i,1}^{tau+Deltatau}-beta^2left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{theta}^2}right]_{1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|262#262|; 

$key = q/displaystylebetaleft[DP{[Pi^{prime}]^{tau+Deltatau}}{z}right]_{i,k_m(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|275#275|; 

$key = q/displaystylesum_{i}sum_{k}left[rho_s(i,k)+DQFILL(i,k)right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|369#369|; 

$key = q/displaystyle-frac{C_{varepsilon}}{2C_ml^2}[K_m^2]_{i,k}^{t-Deltat}Deqlab{TrisanX};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|221#221|; 

$key = q/displaystylefrac{phi_{i,k}+phi_{i+1,k}+phi_{i,k+1}+phi_{i+1,k+1}}{4},Deqlab{RisanC};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|17#17|; 

$key = q/displaystylesum_{i}sum_{k}hat{rho_s}(i,k);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|368#368|; 

$key = q/displaystyle+F_{i,k}+betaleft[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}oveverline{theta}^2)_{k_m(w)}F_{i,k_m(w)}Deqlab{TrisanG-Deriv12};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|285#285|; 

$key = q/displaystyle-betaleft[frac{overline{c^2}(Deltatau)^2}{c_{pv}overline{rho}overlinine{rho}overline{theta}^2)_{i,0(w)}E_{i,0(w)},Deqlab{TrisanN};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|181#181|; 

$key = q/displaystylefrac{H_{i(u),k}-H_{i-1(u),k}}{Deltax},Deqlab{RisanL};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|36#36|; 

$key = q/displaystyle-betaleft[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{thverline{theta}^2)_{k_m(w)}F_{i,k_m(w)}Deqlab{TrisanG-Deriv11};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|283#283|; 

$key = q/nu_H;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|133#133|; 

$key = q/displaystyle+c_{pv}overline{theta}_{i,k_m(w)}left[DP{(alpha{rmDiv})}{z}right]_{i,k_m(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|272#272|; 

$key = q/displaystyleleft[Pi^{prime}right]_{i,k_m}^{tau+Deltatau}-beta^2left[frac{overlin2}Deltatau}{c_{pv}overline{rho}overline{theta}^2}right]_{k_m};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|278#278|; 

$key = q/V;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|10#10|; 

$key = q/displaystyleleft[Pi^{prime}right]_{i,k}^{tau}-left[frac{overline{c^2}}{c_{pv}overline{theta}}DP{}{x}(u^{tau+Deltatau})right]_{i,k}Deltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|239#239|; 

$key = q/{rmFillNeg.}[{rho_s}_{i,k}^{*}];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|202#202|; 

$key = q/u;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|136#136|; 

$key = q/displaystyleleft(DP{phi}{z}right)_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|33#33|; 

$key = q/displaystylefrac{9}{8}frac{H_{i(u),k}-H_{i-1(u),k}}{Deltax}-Dinv{24}frac{H_{i+1(u),k}-H_{i-2(u),k}}{Deltaz},Deqlab{RisanT};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|55#55|; 

$key = q/displaystyleleft[DP{left(alpha{rmDiv}right)^{tau}}{z}right]_{i,k(w)}-(1-beta)lef}{c_{pv}overline{theta}}right]_{i,k(w)}Deqlab{TrisanG-Deriv6};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|259#259|; 

$key = q/displaystyle+rho_s(M,N+1)+rho_s(M,N+1)];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|379#379|; 

$key = q/displaystyle+{rmmin}(0.0,rho_s(i,k+2))*QSUMPN(i,k+2)]};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|325#325|; 

$key = q/k_m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|167#167|; 

$key = q/displaystylefrac{V_{i,k(w)}-V_{i,k-1(w)}}{Deltax},Deqlab{RisanO};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|42#42|; 

$key = q/F_w;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|159#159|; 

$key = q/displaystyleDeqlab{H};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|350#350|; 

$key = q/displaystyle0.75*rho_s(M,N+1)rho_s(M,N)*QSUMPN(M,N),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|358#358|; 

$key = q/displaystyle+{rmmax}(0.0,rho_s(i+2,k));MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|312#312|; 

$key = q/displaystylew_{i,k(w)}^{tau+Deltatau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|148#148|; 

$key = q/phi^{tau};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|141#141|; 

$key = q/displaystyleV_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|26#26|; 

$key = q/displaystylefrac{9}{8}frac{V_{i+1,k(w)}-V_{i,k(w)}}{Deltax}-Dinv{24}frac{V_{i+2,k(w)}-V_{i-1,k(w)}}{Deltaz},Deqlab{RisanV};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|57#57|; 

$key = q/displaystyleleft[D_{rho_s}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|108#108|; 

$key = q/displaystyle+0.25*[{rmmin}(0.0,rho_s(i-2,k))*QSUMPN(i-2,k);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|322#322|; 

$key = q/displaystyle{F_{theta}}_{i,k}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|209#209|; 

$key = q/displaystylefrac{phi_{i,k+1}-phi_{i,k}}{Deltaz},Deqlab{RisanK};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|34#34|; 

$key = q/displaystyle+left[DP{}{x}left{left(K_{m}right)_{i(u),k(w)}left(DP{w}{x}right)_{i(u),k(w)}left(DP{u}{z}right)_{i(u),k(w)}right}right]_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|79#79|; 

$key = q/displaystyleleft(DP{(phiV)}{z}right)_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|51#51|; 

$key = q/displaystyleDeqlab{TrisanG-Deriv4};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|251#251|; 

$key = q/displaystyle+betaleft[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{thrho}overline{theta}^2)_{0(w)}E_{i,0(w)}Deqlab{TrisanG-Deriv8};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|267#267|; 

$key = q/displaystyle+left[DP{}{z}left{left(K_{m}right)_{i(u),k(w)}left(DP{w}{x}right)_{i(u),k(w)}left(DP{u}{z}right)_{i(u),k(w)}right}right]_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|71#71|; 

$key = q/U;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|125#125|; 

$key = q/displaystyle-beta^2left[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{tau+Deltatau}_{i,k+1}-[Pi^{prime}]^{tau+Deltatau}_{i,k}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|289#289|; 

$key = q/displaystyle{rmFillNeg.}[{rho_s}_{i,k}^{*}],Deqlab{TrisanU-2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|199#199|; 

$key = q/displaystyleA_{k_m};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|173#173|; 

$key = q/displaystyleleft[Pi^{prime}right]_{i,k_m}^{tau+Deltatau}-beta^2left[frac{overlineta}^2)DP{[Pi^{prime}]^{tau+Deltatau}}{z}right}right]_{i,k_m};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|277#277|; 

$key = q/displaystyle+{rmmin}(0.0,rho_s(i,k+1))*QSUMPN(i,k+1)];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|321#321|; 

$key = q/w_{i,1(w)}=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|254#254|; 

$key = q/displaystylenu_H=nu_V=1.0times10^{-4}timesfrac{{rmmin}[(Deltax)^2,(Deltaz)^2]}{Deltat}Deqlab{NumDisp2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|135#135|; 

$key = q/displaystyle(k=2,3,dots,k_m-1)Deqlab{TrisanO};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|184#184|; 

$key = q/{figure}center{Depsf[90mm]{psslashgrid.ps}{{center{{figure};LFS=12;FSF=1.6;AAT/;
$cached_env_img{$key} = q|7#7|; 

$key = q/displaystyle-u_{i(u),k}left(DP{u}{x}right)_{i(u),k}-w_{i(u),k}left(DP{u}{z}right)_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|67#67|; 

$key = q/displaystyle0.25*rho_s(M,N+2)rho_s(M,N)*QSUMPN(M,N),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|361#361|; 

$key = q/displaystyle-frac{2}{3C_{m}^{2}l^{2}}left(DP{K_{m}^{2}}{z}right)_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|80#80|; 

$key = q/displaystylefrac{9}{8}frac{psi_{i(u),k(w)}-psi_{i(u),k-1(w)}}{Deltax}-Dinv{24}frc{psi_{i(u),k+1(w)}-psi_{i(u),k-2(w)}}{Deltaz},Deqlab{RisanY};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|60#60|; 

$key = q/displaystylephi_{i,k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|14#14|; 

$key = q/displaystyleF_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|190#190|; 

$key = q/3slash16;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|331#331|; 

$key = q/displaystyle+c_{pv}overline{theta}_{i,k(w)}left[DP{(alpha{rmDiv})}{z}right]_{i,k(w)}Deltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|150#150|; 

$key = q/displaystyle+Dinv{overline{Pi}_{i,k}}frac{L[M_{cond}]_{i,k}}{overline{rho}_{i,k}right]_{i,k}+left[D_{theta}^{sfc}right]_{i,k}.Deqlab{RisanAC};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|112#112|; 

$key = q/displaystyleleft[D_{theta}right]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|113#113|; 

$key = q/displaystylefrac{phi_{i(u),k}H_{i(u),k}-phi_{i-1(u),k}H_{i-1(u),k}}{Deltax},Deqlab{RisanQ3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|50#50|; 

$key = q/displaystyle(k=2,3,dots,k_m-1)Deqlab{TrisanG-Deriv17};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|298#298|; 

$key = q/displaystyleleft[Pi^{prime}right]_{i,k}^{tau}-(1-beta)left[frac{overline{c^2}Dela}}right]_{k}left[DP{u^{tau+Deltatau}}{x}right]_{i,k}+F_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|250#250|; 

$key = q/displaystyle+betaleft[frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{thrho}overline{theta}^2)_{0(w)}E_{i,0(w)}Deqlab{TrisanG-Deriv9};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|269#269|; 

$key = q/Deltat;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|2#2|; 

$key = q/beta=0.5;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|158#158|; 

$key = q/displaystyle0.75*rho_s(M-1,N)rho_s(M,N)*QSUMPN(M,N),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|340#340|; 

$key = q/displaystyleleft(r_{aero}^3+frac{3{rho_s}_{i,k}}{4rho_Ipioverline{rho}_{i,k}N^{*}}right)^{1slash3}Deqlab{TrisanV3-2},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|99#99|; 

$key = q/displaystyle1+beta^2left[frac{overline{c^2}(Deltatau)^2}{c_{pv}overline{rho}over_{i,k(w)}+(c_{pv}overline{rho}overline{theta}^2)_{i,k-1(w)}],;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|171#171|; 

$key = q/(i,k(w));MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|5#5|; 

$key = q/displaystylefrac{UDeltat}{Deltax}leq1Deqlab{TrisanB};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|124#124|; 

$key = q/displaystyleleft[F_{rho_s}right]_{i,k}^{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|205#205|; 

$key = q/F_u;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|145#145|; 

$key = q/tau+Deltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|195#195|; 

$key = q/displaystyle0.25*rho_s(M+2,N)rho_s(M,N)*QSUMPN(M,N),;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|349#349|; 

$key = q/displaystyleD_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|182#182|; 

$key = q/displaystyleBig[DP{}{z}Big{overline{rho}overline{theta}Big(w^{tau}-c_{pv}overliniv}right)^{tau}}{z}right}+F_{w}^{t}DeltatauBig)Big}Big]_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|192#192|; 

$key = q/displaystylefrac{9}{8}frac{phi_{i,k(w)}-phi_{i,k-1(w)}}{Deltax}-Dinv{24}frac{phi_{i,k+1(w)}-phi_{i,k-2(w)}}{Deltaz},Deqlab{RisanZ};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|61#61|; 

$key = q/displaystyleH_{i(u),k(w)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|22#22|; 

$key = q/displaystyleDeqlab{TrisanG-Deriv14};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|295#295|; 

$key = q/displaystyle+left[frac{overline{c^2}}{c_{pv}overline{theta}^2overline{Pi}}(Q_{rad}+Q_{dis})right]_{i,k}DeltatauDeqlab{TrisanG-Deriv1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|243#243|; 

$key = q/displaystyle-betaleft(frac{overline{c^2}Deltatau}{c_{pv}overline{rho}overline{theta}^2}right)_{k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|191#191|; 

$key = q/displaystyleleft[D_uright]_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|69#69|; 

$key = q/displaystylefrac{4pi{r_d}_{i,k}overline{rho}_{i,k}N^{*}}{{R_h}_{i,k}}(S_{i,k}-1),Deqlab{TrisanS2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|89#89|; 

$key = q/displaystyleDP{theta_{i,k}}{t};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|110#110|; 

$key = q/displaystyle-Dinv{3}[K_m]_{i,k}^{t-Deltat}left[left(DP{u}{x}right)_{i,k}^{t-Deltat}+left(DP{w}{z}right)_{i,k}^{t-Deltat}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|218#218|; 

$key = q/displaystyle-frac{2}{3C_{m}^{2}l^{2}}left(DP{K_{m}^{2}}{x}right)_{i(u),k},;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|72#72|; 

$key = q/displaystyle+{rmmax}(0.0,rho_s(i,k));MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|317#317|; 

$key = q/displaystyle(k=2,3,dots,k_m-1)Deqlab{TrisanJ};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|172#172|; 

$key = q/displaystyleleft[D_u^{sfc}right]_{i(u),k}=delta_{1k}left[DP{}{z}(C_DV_{sfc}u_{z_1})right]_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|73#73|; 

$key = q/displaystyle+left[frac{overline{c^2}}{c_{pv}overline{theta}}left(frac{L}{c_{pv}oright)frac{M_{cond}^{tau}}{overline{rho}}right]_{i,k}Deltatau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|155#155|; 

$key = q/displaystyleDinv{Deltaz}left{(c_{pv}overline{rho}overline{theta}^2)_{k_m(w)}leftt[DP{[Pi^{prime}]^{tau+Deltatau}}{z}right]_{i,k_m-1(w)}right};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|279#279|; 

$key = q/bf{100};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|232#232|; 

$key = q/displaystyle1+beta^2left[frac{overline{c^2}(Deltatau)^2}{c_{pv}overline{rho}over_{pv}overline{rho}overline{theta}^2)_{i,1(w)},Deqlab{TrisanI};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|169#169|; 

$key = q/displaystyleleft[DP{left(alpha{rmDiv}right)^{tau}}{z}right]_{i,0(w)}-(1-beta)lef}{c_{pv}overline{theta}}right]_{i,0(w)}Deqlab{TrisanG-Deriv5};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|258#258|; 

$key = q/displaystylefrac{phi_{i,k+1}+phi_{i,k}}{2},Deqlab{RisanB};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|15#15|; 

$key = q/displaystyleD_{i,1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|179#179|; 

$key = q/displaystyle2left[DP{}{x}left{left(K_{m}right)_{i,k}left(DP{u}{x}right)_{i,k}right}right]_{i(u),k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|70#70|; 

$key = q/displaystylefrac{lambda_{i,k}}{{r_d}_{i,k}},Deqlab{TrisanV4-2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|103#103|; 

$key = q/displaystyle-frac{3g{C_m}^2l^2}{2}left[Dinv{overline{theta}}left(DP{theta}{z}rigright)left(DP{rho_s}{z}right)_{i,k(w)}right]^{t-Deltat}_{i,k};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|215#215|; 

$key = q/displaystyle+left[frac{overline{c^2}Deltatau}{c_{pv}overline{theta}^2overline{Pileft[(Q_{rad}^{tau}+Q_{dis}^{tau})right]_{i,k}Deqlab{TrisanR};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|194#194|; 

$key = q/displaystyleDQFILL(M,N+1);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|357#357|; 

1;