The square wave that takes the value -1 on (-π,0) and +1 on (0,π) is identical to the infinite Fourier sine series (4/π)∑_{n=1}^∞ sin((2n-1)x)/(2n-1), realized geometrically by a nested chain of rotating vectors of lengths 4/((2n-1)π) whose summed vertical projections

Name: The square wave that takes the value -1 on (-π,0) and +1 on (0,π) is identical to the infinite Fourier sine series (4/π)∑_{n=1}^∞ sin((2n-1)x)/(2n-1), realized geometrically by a nested chain of rotating vectors of lengths 4/((2n-1)π) whose summed vertical projections
Channel: Matheorems
Description: The square wave that takes the value -1 on (-π,0) and +1 on (0,π) is identical to the infinite Fourier sine series (4/π)∑_{n=1}^∞ sin((2n-1)x)/(2n-1), realized geometrically by a nested chain of rotating vectors of lengths 4/((2n-1)π) whose summed vertical projections

@Matheorems

1 grabs

Download

The square wave that takes the value -1 on (-π,0) and +1 on (0,π) is identical to the infinite Fourier sine series (4/π)∑_{n=1}^∞ sin((2n-1)x)/(2n-1), realized geometrically by a nested chain of rotating vectors of lengths 4/((2n-1)π) whose summed vertical projections

No comments yet