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$f(x)=x^{2}$

$f(x)\,\!$ $=\sum _{n=0}^{\infty }a_{n}x^{n}$ $=a_{0}+a_{1}x+a_{2}x^{2}+\cdots$

$\left({\frac {1}{2}}\right)^{n}$

$\sum _{m=1}^{\infty }\sum _{n=1}^{\infty }{\frac {m^{2}n}{3^{m}\left(m3^{n}+n3^{m}\right)}}$

$|{\bar {z}}|=|z|,|({\bar {z}})^{n}|=|z|^{n},\arg(z^{n})=n\arg(z)$

$x^{2}+y^{2}+z^{2}=1$

(1)

Eq. 1 $x^{2}+x+1=0$

$f(x)={\begin{cases}1&-1\leq x<0\\{\frac {1}{2}}&x=0\\1-x^{2}&{\text{otherwise}}\end{cases}}$

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