Changes

The formulas usually favored by mathematicians are the "normalized" form.  Given a function f(t) defined on the entire real line, its Fourier transform g(x) is given by:

The formulas usually favored by mathematicians are the "normalized" form.  Given a function f(t) defined on the entire real line, its Fourier transform g(x) is given by:

:<math>g(x) = \frac{1}{\sqrt{2\pi}} \int_{-\infty}^{\infty} f(t) e^{-ixt}\, dt</math> &nbsp; &nbsp;

:<math>g(x) = \frac{1}{\sqrt{2\pi}} \int_{-\infty}^{\infty} f(t) e^{-ixt}\, dt</math>

The inverse transform, that recovers the original function, is:

The inverse transform, that recovers the original function, is:

:<math>f(t) = \frac{1}{\sqrt{2\pi}} \int_{-\infty}^{\infty} g(x) e^{ixt}\, dx</math> &nbsp; &nbsp;

:<math>f(t) = \frac{1}{\sqrt{2\pi}} \int_{-\infty}^{\infty} g(x) e^{ixt}\, dx</math>

==Discrete Fourier transformation==  

==Discrete Fourier transformation==