2 Mozilla/5.0 (Windows NT 10.0; WOW64; rv:47.0) Gecko/20100101 Firefox/47.0 /rde/contents/library/ps2img/cgi-bin/eqn2gif.cgi 157.118.205.34 1472568463 2016/08/30 23:47:43 \int \frac{dx}{\sqrt{2\pi}} h_g(x) e^{-iux} &=& \int \frac{dx}{\sqrt{2\pi}} \frac{1}{\sqrt{2 \pi \sigma}} e^{- \frac{x^2}{2 \sigma^2}}e^{-iux} \nonumber \\ &=& \int \frac{dx}{\sqrt{2\pi}} \frac{1}{\sqrt{2 \pi \sigma}} e^{-\frac{1}{2 \sigma^2} (x + iu \sigma^2)^2} e^{\frac{1}{2 \sigma^2} (iu\sigma^2)^2} \nonumber \\ &=& \frac{1}{\sqrt{2\pi}} \frac{1}{\sqrt{2 \pi \sigma}} e^{-\frac{u^2 \sigma^2}{2}} \int dx e^{-\frac{1}{2 \sigma^2} (x + iu \sigma^2)^2} \nonumber \\ &=& \frac{1}{\sqrt{2\pi}} \frac{1}{\sqrt{2 \pi \sigma}} e^{-\frac{u^2 \sigma^2}{2}} \sqrt{2\pi}\sigma \nonumber \\ &=& 21 変換(アンチエイリアス) <IMG SRC="../cgi-cache/20160830_232517.gif"> 変換 正常に処理されました 20160830_232517 http://www.mech.tohoku-gakuin.ac.jp/rde/contents/library/ps2img/eqn2gif_online.html Tue Aug 30 23:47:43 2016