Test of QuickLaTeX

投稿日: 2013-7-20 作成者: n3956

This is a test of display math equations.

The x axis shows \lambda [\mathrm{\AA}], the wavelength of electron \lambda=\frac{h}{m_{\mathrm{e}}v}

    \[ \int_{0}^{\infty}e^{it}dt \]

    \[ \cos x = 1-\frac{x^2}{2!}+\frac{x^4}{4!}-\frac{x^6}{6!}+\frac{x^8}{8!}-\frac{x^{10}}{10!}+\cdots = \sum^{\infin}_{n=0}(-1)^n\frac{1}{(2n)!}x^{2n} \]

    \begin{align*} \sin x = x-\frac{x^3}{3!}+\frac{x^5}{5!}-\frac{x^7}{7!}+\frac{x^9}{9!}-\frac{x^{11}}{11!}+\cdots = \sum^{\infin}_{n=0}(-1)^n\frac{1}{(2n+1)!}x^{2n+1} \end{align*}

    \[ \mathrm{e}^{x} = 1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\frac{x^4}{4!} +\frac{x^5}{5!}+\frac{x^5}{5!}+\cdots =\sum^{\infin}_{n=0}\frac{1}{n!}x^{n} \]

    \[ \mathrm{e}^{\mathrm{i} x} = \cos x + \mathrm{i} \, \sin x \]

end of this post.

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カテゴリー: 未分類 パーマリンク

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