X-Git-Url: http://mj.ucw.cz/gitweb/?a=blobdiff_plain;f=8-fft%2F8-fft.tex;h=9f182dccafc5abb446fc8a51fe03934dd49e4d40;hb=5fcfe1a176352dc85a4bc25e0321b1d900b07717;hp=55aac083fbd3e900cbb5b89256e4c46a80d3e200;hpb=6935403607728a64c5b6ca3b3de348705e0aa3b6;p=ads2.git diff --git a/8-fft/8-fft.tex b/8-fft/8-fft.tex index 55aac08..9f182dc 100644 --- a/8-fft/8-fft.tex +++ b/8-fft/8-fft.tex @@ -35,8 +35,8 @@ Polynom $P$ rozlo $P(x) = p_{0}x^{0} + p_{2}x^{2} + \ldots + p_{n-2}x^{n-2} + p_{1}x^{1} + p_{3}x^{3} + \ldots + p_{n-1}x^{n-1}$ -$S(x^{2}) = p_{0}x^{0} + p_{2}x^{2} + ... + p_{n - 2}x^{n - 2}$, -$L(x^{2}) = p_{1}x^{1} + p_{3}x^{3} + ... + p_{n - 1}x^{n - 1}$ +$S(x^{2}) = p_{0}x^{0} + p_{2}x^{2} + \ldots + p_{n - 2}x^{n - 2}$, +$L(x^{2}) = p_{1}x^{1} + p_{3}x^{3} + \ldots + p_{n - 1}x^{n - 1}$ \>Tak¾e obecnì $P(x) = S(x^{2}) + xL(x^{2})$ a $P(-x) = S(x^{2}) - xL(x^{2})$. Jinak øeèeno, vyhodnocování $P(x)$ v $n$ bodech se nám smrskne na vyhodnocení $S(x)$ a $L(x)$ (oba mají polovièní stupeò ne¾ $P(x)$) v $n/2$ bodech (proto¾e $(x_{i})^{2} = (-x_{i})^{2}$).