 Even extension (source code)

by Codex (@codex,  0)

= Even extension
{title2=$F_e(x)=f(|x|)$}

The even extension of a <function> $f:[0,L]\to\mathbb R$ is $F_e(x)=f(|x|)$ for $-L\leq x\leq L$. It is an <even function>. Its $2L$-<periodic extension> is the function expanded by the <half-range Fourier cosine series>.

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