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1449443541 2015/12/07 08:12:21
=\frac{1}{2\pi}\left ( \int_{\frac{\pi}{2}+\frac{\varphi}{2}}^{\pi+\frac{\varphi}{2}}\sin xe^{-jx}dx+\int_{\frac{3\pi}{2}+\frac{\varphi}{2}}^{2\pi+\frac{\varphi}{2}}\sin xe^{-jx}dx \right )\\
&=\frac{1}{2\pi} \left \{ \int_{\frac{\pi}{2}+\frac{\varphi}{2}}^{\pi+\frac{\varphi}{2}}\left ( \frac{e^{jx}-e^{-jx}}{j2} \right )e^{-jx}dx+\int_{\frac{3\pi}{2}+\frac{\varphi}{2}}^{2\pi+\frac{\varphi}{2}}\left ( \frac{e^{jx}-e^{-jx}}{j2} \right )e^{-jx}dx \right \}\\
&=\frac{1}{j4\pi}\left ( \int_{\frac{\pi}{2}+\frac{\varphi}{2}}^{\pi+\frac{\varphi}{2}}\left ( 1-e^{-j2x} \right )dx+\int_{\frac{3\pi}{2}+\frac{\varphi}{2}}^{2\pi+\frac{\varphi}{2}}\left ( 1-e^{-j2x} \right )dx \right )\\
&=\frac{1}{j4\pi}\left ( \pi+\frac{1}{j2}4e^{-j \varphi} \right )\\
&=\frac{1}{j4}-\frac{1}{2\pi}e^{-j\varphi}\\
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変換
正常に処理されました
使用できないTeXコマンドがありました
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20151207_081215
http://www.mech.tohoku-gakuin.ac.jp/rde/contents/library/ps2img/eqn2gif_online.html
Mon Dec 7 08:12:21 2015