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\begin{document}

\ming

\title{\red 簡單數學文件\thanks{本文件利用 \ChiTeX 編寫}}

\author{\green 陳弘毅\thanks{數學系}}

\date{}

\maketitle

\red

\charsep{7}

\section{數學與文字敘述}

\black\quad 令 $H$ 為一 Hilbert 空間。 令 $H$ 為一 Hilbert 空間。

假設當 $n\rightarrow \infty $ 時, $a_{n,k}\rightarrow 0$

以及 $\gamma _n=\sum_{k=0}^\infty \left(a_{n,k+1}-a_{n,k}\right) ^{+}\rightarrow 0$.

則對於每一 $x\in C$, $A_nx=\sum_{k=0}^\infty a_{n,k}T^kx$ 弱收斂至一不動點 $T$。

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\red

\section{圖形的例子}

%

\magneta\quad 下列是 一 $van der pol$ 之微分方程解與 $\frac{xy}{\left( x^{2}+y^{2}\right) ^{2}}$ 之圖形,

利用 Matlab 與 Scientific WorkPlace 所畫

\black

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