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 1336779306 2012/05/12 08:35: 6 (x{\times}y){\times}(z{\times}w) &=&(({x_i}{e_i}){\times}({y_j}{e_j})) {\times}(({z_k}{e_k}){\times}({w_l}{e_l})) \nonumber\\ &=&{\epsilon_{ijm}}{\epsilon_{kln}}{\epsilon_{pmn}} {x_i}{y_j}{z_k}{w_l}{e_p} \nonumber\\ &=&({\delta_{kp}}{\delta_{lm}}-{\delta_{km}}{\delta_{lm}}) {\epsilon_{ijm}}{x_i}{y_j}{z_k}{w_l}{e_p} \nonumber\\ &=&{\delta_{kp}}{\delta_{lm}} {\epsilon_{ijm}}{x_i}{y_j}{z_k}{w_l}{e_p} -{\delta_{km}}{\delta_{lp}} {\epsilon_{ijm}}{x_i}{y_j}{z_k}{w_l}{e_p} \nonumber\\ &=&({\epsilon_{ijl}}{x_i}{y_j}{w_l})({z_k}{e_k}) -({\epsilon_{ijk}}{x_i}{y_j}{z_k})({w_l}{e_l}) \nonumber\\ &=& \left| \begin{array} {rrr} x & y & w \end{array} \right| z -\left| \begin{array} {rrr} x & y & z \end{array} \right| w _________LaTeX__________________ 89 ______(________________________) <IMG SRC="../cgi-cache/20120512_075818.gif"> ______ 正常に処理されました 20120512_075818 http://www.mech.tohoku-gakuin.ac.jp/rde/contents/library/ps2img/eqn2gif_online.html Sat May 12 08:35:06 2012