Changes between Version 3 and Version 4 of u/afrank
- Timestamp:
- 12/22/14 20:23:55 (10 years ago)
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u/afrank
v3 v4 6 6 The basic equation for the fourier transform. 7 7 8 [[latex($ F(k) = \int f(x) e^{(-2 \pi k x)} dx $)]]8 [[latex($ F(k) = \int^{+\infty}_{-\infty} f(x) e^{(-i 2 \pi k x)} dx $)]] 9 9 10 Here we want to solve 10 Here we want to solve the signup function which is runs from -1 to 1 with a step at x=a 11 11 12 [[latex($ f(x) = sgn(x) $)]] 13 14 {{{ 15 #!latex 16 \begin{align*} 17 f(x) \\ 18 & = -1 if x >0\\ 19 & = 1 if x < 0\\ 20 \end{align*} 21 }}} 22 23 24 {{{ 25 #!latex 26 f(n) = 27 \begin{cases} 28 n/2, & \text{if }n\text{ is even} \\ 29 3n+1, & \text{if }n\text{ is odd} 30 \end{cases} 31 }}} 32 33 34 12 [[latex($ f(x) = sgn(x-a) $)]] 35 13 36 14 [[Image(http://www.pas.rochester.edu/~afrank/Fig1.jpg)]]