1.5 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 1338684514 2012/06/03 09:48:34 \delta_{ij} &=&\vect{e}_{i}\cdot\vect{e}_{j}\nonumber\\ \delta_{ii} &=&3\nonumber\\ \delta_{ik}\delta_{jk} &=&\delta_{ij}\nonumber\\ \nonumber\\ \epsilon_{ijk} &=& \left| \begin{array}{rrr} \vect{e}_{i}&\vect{e}_{j}&\vect{e}_{k} \end{array} \right|\nonumber\\ \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| = \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| = \left| \begin{array}{rrr} \vect{e}_{i}\cdot\vect{e}_{l}&\vect{e}_{i}\cdot\vect{e}_{m}&\vect{e}_{i}\cdot\vect{e}_{n}\nonumber\\ \vect{e}_{j}\cdot\vect{e}_{l}&\vect{e}_{j}\cdot\vect{e}_{m}&\vect{e}_{j}\cdot\vect{e}_{n}\nonumber\\ \vect{e}_{k}\cdot\vect{e}_{l}&\vect{e}_{k}\cdot\vect{e}_{m}&\vect{e}_{k}\cdot\vect{e}_{n}\nonumber\\ \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_{ijm}\epsilon_{klm} &=& \left| \begin{array}{rrr} \delta_{ik}&\delta_{il}&\delta_{im}\nonumber\\ \delta_{jk}&\delta_{jl}&\delta_{jm}\nonumber\\ \delta_{km}&\delta_{lm}&\delta_{mm}\nonumber\\ \end{array} \right|\nonumber\\ &=& - \delta_{im} \left| \begin{array}{rr} \delta_{km}&\delta_{lm}\nonumber\\ \delta_{jk}&\delta_{jl}\nonumber\\ \end{array} \right| - \delta_{jm} \left| \begin{array}{rr} \delta_{ik}&\delta_{il}\nonumber\\ \delta_{km}&\delta_{lm}\nonumber\\ \end{array} \right| + \delta_{mm} \left| \begin{array}{rr} \delta_{ik}&\delta_{il}\nonumber\\ \delta_{jk}&\delta_{jl}\nonumber\\ \end{array} \right|\nonumber\\ &=& - \left| \begin{array}{rr} \delta_{ik}&\delta_{il}\nonumber\\ \delta_{jk}&\delta_{jl}\nonumber\\ \end{array} \right| - \left| \begin{array}{rr} \delta_{ik}&\delta_{il}\nonumber\\ \delta_{jk}&\delta_{jl}\nonumber\\ \end{array} \right| + 3 \left| \begin{array}{rr} \delta_{ik}&\delta_{il}\nonumber\\ \delta_{jk}&\delta_{jl}\nonumber\\ \end{array} \right| = \left| \begin{array}{rr} \delta_{ik}&\delta_{il}\nonumber\\ \delta_{jk}&\delta_{jl}\nonumber\\ \end{array} \right|\nonumber\\ &=& \delta_{ik}\delta_{jl}-\delta_{il}\delta_{jk}\nonumber\\ \epsilon_{ikl}\epsilon_{jkl} &=& \delta_{ij}\delta_{kk}-\delta_{ik}\delta_{jk} = 3\delta_{ij}-\delta_{ij}\nonumber\\ &=& 2\delta_{ij}\nonumber\\ \epsilon_{ijk}\epsilon_{ijk} &=& 2\delta_{ii}\nonumber\\ &=& 6 2 ______(________________________) <IMG SRC="../cgi-cache/20120603_094825.gif"> 正常に処理されました 20120603_094825 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=-AQFqcUqoAQFbPOHYSEmMYRbg6XDgKgTRr0zf1ALb0eBhsw Sun Jun 3 09:48:34 2012