Fourier Series
Tags: #math #fourier seriesEquation
$$y(x)=c_{0}+\sum^{M}_{m=1}c_{m}\cos mx+\sum^{M^{'}}_{m=1}s_{m}\sin mx \\ c_{0}=\frac{1}{2\pi}\int^{\pi}_{\pi}y(x) \mathrm{d} x \\ c_{m}=\frac{1}{\pi}\int^{\pi}_{\pi}y(x) \cos mx \mathrm{d} x \\ s_{m}=\frac{1}{\pi}\int^{\pi}_{\pi}y(x) \sin mx \mathrm{d} x$$Latex Code
y(x)=c_{0}+\sum^{M}_{m=1}c_{m}\cos mx+\sum^{M^{'}}_{m=1}s_{m}\sin mx \\ c_{0}=\frac{1}{2\pi}\int^{\pi}_{\pi}y(x) \mathrm{d} x \\ c_{m}=\frac{1}{\pi}\int^{\pi}_{\pi}y(x) \cos mx \mathrm{d} x \\ s_{m}=\frac{1}{\pi}\int^{\pi}_{\pi}y(x) \sin mx \mathrm{d} x
Have Fun
Let's Vote for the Most Difficult Equation!
Introduction
If y(x) is a function defined in the range then the above fourier series expansion formula holds.
Related Documents
Related Videos
Discussion
Comment to Make Wishes Come True
Leave your wishes (e.g. Passing Exams) in the comments and earn as many upvotes as possible to make your wishes come true

Patricia JohnsonMy one wish right now is to pass this test.Samuel Evans reply to Patricia JohnsonNice~20240518 00:00:00.0 
Joseph DavisIt's my earnest desire to pass this exam.Jacqueline Snyder reply to Joseph DavisYou can make it...20240330 00:00:00.0 
Noel BowersI really want to ace this exam.Matthew Taylor reply to Noel BowersNice~20231102 00:00:00.0
Reply