2 Mozilla/5.0 (Windows NT 6.1; WOW64; rv:12.0) Gecko/20100101 Firefox/12.0 /rde/contents/library/ps2img/cgi-bin/eqn2gif.cgi 157.118.3.12 1338601638 2012/06/02 10:47:18 \epsilon_{ijk}\epsilon_{lmn} &=& \left| \begin{array}{rrr} \vect{e}_{i}&\vect{e}_{j}&\vect{e}_{k} \end{array} \right| \left| \begin{array}{rrr} \vect{e}_{l}&\vect{e}_{m}&\vect{e}_{n} \end{array} \right|\nonumber\\ &=& \left| \begin{array}{r} \vect{e}_{i}\nonumber\\ \vect{e}_{j}\nonumber\\ \vect{e}_{k} \end{array} \right| \left| \begin{array}{rrr} \vect{e}_{l}&\vect{e}_{m}&\vect{e}_{n} \end{array} \right|\nonumber\\ &=& \left| \begin{array}{rrr} \delta_{il}&\delta_{im}&\delta_{in}\nonumber\\ \delta_{jl}&\delta_{jm}&\delta_{jn}\nonumber\\ \delta_{kl}&\delta_{km}&\delta_{kn}\nonumber\\ \end{array} \right|\nonumber\\ \epsilon_{ijk}\epsilon_{lmk} &=& \left| \begin{array}{rrr} \delta_{il}&\delta_{im}&\delta_{ik}\nonumber\\ \delta_{jl}&\delta_{jm}&\delta_{jk}\nonumber\\ \delta_{kl}&\delta_{km}&\delta_{kk}\nonumber\\ \end{array} \right|\nonumber\\ &=& \delta_{ik} \left| \begin{array}{rr} \delta_{jl}&\delta_{jm}\nonumber\\ \delta_{kl}&\delta_{km}\nonumber\\ \end{array} \right| -\delta_{jk} \left| \begin{array}{rr} \delta_{il}&\delta_{im}\nonumber\\ \delta_{kl}&\delta_{km}\nonumber\\ \end{array} \right| +\delta_{kk} \left| \begin{array}{rr} \delta_{il}&\delta_{im}\nonumber\\ \delta_{jl}&\delta_{jm}\nonumber\\ \end{array} \right|\nonumber\\ &=& \left| \begin{array}{rr} \delta_{jl}&\delta_{jm}\nonumber\\ \delta_{il}&\delta_{im}\nonumber\\ \end{array} \right| - \left| \begin{array}{rr} \delta_{il}&\delta_{im}\nonumber\\ \delta_{jl}&\delta_{jm}\nonumber\\ \end{array} \right| +3 \left| \begin{array}{rr} \delta_{il}&\delta_{im}\nonumber\\ \delta_{jl}&\delta_{jm}\nonumber\\ \end{array} \right|\nonumber\\ &=& \left| \begin{array}{rr} \delta_{il}&\delta_{im}\nonumber\\ \delta_{jl}&\delta_{jm}\nonumber\\ \end{array} \right|\nonumber\\ &=& \delta_{il}\delta_{jm}-\delta_{im}\delta_{jl} \nonumber\\ \epsilon_{ijk}\epsilon_{ljk} &=& \delta_{il}\delta_{jj}-\delta_{ij}\delta_{jl}\nonumber\\ &=& 3\delta_{il}-\delta_{il}\nonumber\\ &=& 2\delta_{il} \nonumber\\ \epsilon_{ijk}\epsilon_{ijk} &=& 2\delta_{ii}\nonumber\\ &=& 6 \nonumber\\ 47 ______(________________________) ______ <IMG SRC="../cgi-cache/20120602_094947.gif"> 正常に処理されました 20120602_094947 http://www.facebook.com/l.php?u=http%3A%2F%2Fwww.mech.tohoku-gakuin.ac.jp%2Frde%2Fcontents%2Flibrary%2Fps2img%2Fcgi-bin%2Feqn2gif.cgi&h=yAQF_Gf8iAQFIwlsMzBJG0ATobVOi63JHcwUEFdz1LT_I1A Sat Jun 2 10:47:18 2012