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+W_{IJ}\left(r\right)=\sqrt{\lambda_{IJ}\cdot \epsilon_{IJ}}\cdot exp\left(\frac{\gamma_{IJ}\cdot \sigma_{IJ}}{r-a_{IJ}\cdot \sigma_{IJ}}\right) \\ +G_{JIK}\left(\theta\right)=\left(cos\theta+\frac{1}{3}\right)^2 +\end{array}\right. +\end{eqnarray*} + +\end{document} diff --git a/doc/Eqs/polymorphic5.jpg b/doc/Eqs/polymorphic5.jpg index 0f86a79e61d72fb4ff374dfeaa373c93d0b8cd14..500238b2a9b5b96c752cc3a8e3e260624d8111a1 100644 GIT binary patch literal 30052 zcmd3NXHXPh-{p`bD3U>PngNC=NRpgk21&yJk|jzSlH??!}U;^L(aPj`BJv@9uTq2yi zt0v?C96Wp+Ts(X{Vj@x!0s_E4#{hzR6qJPQRKkkX9C}tnG$OQ|N=6=Ukm(b2FhlR; z{HjUfM^D7W4Xk~_(yD7}fglMwyFZl#?H|rlwp9PrxVl_hTP+c-!KzU*&c5!!e#>XDt%gVuA2YpG&3I zZfFoIPA*Wi(@v=g_nakA?{hYpG%2%;h3SUXmV&^Hz#IVIhZTP=t8BHG;4W-UM{m(9 zSMr8P_-=8>9}s?_8E%bVUJBF;0+Dep9KQ>p+5S?pUFlAonfCrksi{RTa6V;7&8SZ* znqNGnggW@Z+i90FSMF-BGWx%dxI0-M_l<@1Er1?+3ve)cT{{0B=!l7A_;6|RE}VT! zCSn|e)ip^%|0O0Kj|?tK-ZA5Q(7`F+bc578>+z#aRUFb3ym80`H1;2?U_W#2j=5cDt4(5?Jrp 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W2wMx3`{|@osa99Ve&_!H3;)?5SqFvy diff --git a/doc/Eqs/polymorphic6.tex b/doc/Eqs/polymorphic6.tex new file mode 100644 index 0000000000..c8f9f2f25b --- /dev/null +++ b/doc/Eqs/polymorphic6.tex @@ -0,0 +1,13 @@ +\documentclass[12pt]{article} + +\begin{document} + +\begin{eqnarray*} +f_{c,IJ}=\left\{\begin{array}{lr} +1, & r\leq r_{s,IJ} \\ +\frac{1}{2}+\frac{1}{2} cos \left[\frac{\pi \left(r-r_{s,IJ}\right)}{r_{c,IJ}-r_{s,IJ}}\right], & r_{s,IJ}e9bkYNAPE-SEd&b$Vz@JC1|QrdILzRZ-~Vg6!bA_Dr3cafX$9av#%Rav#lRo|{OJJD0x$rNF#qw7e+xDaCKm4FM;L#<>OTcw zU_HWkgoTNPjf3-q=n3XOYGYxO;E*!nl5tBvWBTxz$H<$lbG17ipr{SDn21uxT8~cc^f*Q?9UwF@jw163AoT^`u`%= z-xO9uPx`^o$Vg6)1xFfO2gQpgC96k5-S7kx&Xw&YA@^}Na)(&%!T^R91&@rQiA_FV zksgeWyM|HqA8+2gktOdD=AuOnM$XUYI7K&aC`_f{t7TPaTWtBO z<90)Ah+uPa?S6D2;O40}vRBjm^E-ATA|euj-dX=Iy1)s#nCf57Ub(m8z$Y$rWBF1{ zW2v<}lS2&u1Mnj`OaEz4zgKREc6^oeMblHySv^}0N27#HoEiv#$zNdCX4DCCw4&>% zcm)YHdqWhtBfFl9&0>9^ro~C3W8A^oYrgjbZ_*oljTMw9+ToBfXJWo0ryu 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a/doc/Eqs/polymorphic8.tex b/doc/Eqs/polymorphic8.tex new file mode 100644 index 0000000000..7d2c872dfc --- /dev/null +++ b/doc/Eqs/polymorphic8.tex @@ -0,0 +1,13 @@ +\documentclass[12pt]{article} + +\begin{document} + +\begin{eqnarray*} +f_{c,1,IJ}=\left\{\begin{array}{lr} +1, & r\leq r_{s,1,IJ} \\ +\frac{1}{2}+\frac{1}{2} cos \left[\frac{\pi \left(r-r_{s,1,IJ}\right)}{r_{c,1,IJ}-r_{s,1,IJ}}\right], & r_{s,1,IJ};BPO013&;EB>HEJ|9z3%A|fUwBP6(a zYj7JtKtx1D_|Jf3lqBQ;00AKpF@WUGEjnJ(2lT3jWDIvD>=@NN!20~y+^#80u^?57q?o2PC zt=*{>o~cgE>1`f*u*P0yNjr_MU}ur36q%~Px#i)ih^m#+Hj{sKs=nK9SoR2AJD*|ClRn2Pnju3Rqp^H zhKI$?UcoLOXQD4(;;us9vdN?f48R>@-n>yuZ;Xm4BH-ndj{~d_dN{we-xXN8Di&u; zoVSmSaXlKd+u|RAu_4PbmXJ(dVx)+j{NPW07E^Mjx3ZZ1i}-t)&6QAtys6|AvE@4# z0RM?n^;Z3)AkJs*La`F!a8DkSbolL*fUWwc53wLg;zsI&#D`M6g zj_0muVdD00UfrGA0e2nJ$TI%8bY%Y>Uh%Pr>n{Lh{>4L~$1Ms(;6yRka9}XFubpyf zCVpNS$7oG5^U{Ph4Jd`?6=&-Ip4+oZag>Dik%OT~u#yU#AcVa}=~CJ~2c&v9b%I~r zhUjllF+ahVR4@UMI2BOIta->hs$5kQEILIc6|1qRF$s*g`Vn$gV{mrrdtcE+OnKNJ)K&y 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