Changes between Version 3 and Version 4 of u/afrank


Ignore:
Timestamp:
12/22/14 20:23:55 (10 years ago)
Author:
Adam Frank
Comment:

Legend:

Unmodified
Added
Removed
Modified
  • u/afrank

    v3 v4  
    66The basic equation for the fourier transform.
    77
    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   $)]]
    99
    10 Here we want to solve
     10Here we want to solve the signup function which is runs from -1 to 1 with a step at x=a
    1111
    12  [[latex($ 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)   $)]]
    3513
    3614[[Image(http://www.pas.rochester.edu/~afrank/Fig1.jpg)]]