yeah so is the sum of two fourier series also a fourier series? I am given two fourier series and told to find the fourier series of a combination of the two and I am wondering if i can simply combine the two?
yeah so is the sum of two fourier series also a fourier series? I am given two fourier series and told to find the fourier series of a combination of the two and I am wondering if i can simply combine the two?
That if true only if the periods of the two functions satisfy the relation...
$\displaystyle \displaystyle \frac{T_{1}}{T_{2}} = \frac{m}{n}$
... where $\displaystyle m \in \mathbb{N}$ and $\displaystyle n \in \mathbb{N}$...
Kind regards
$\displaystyle \chi$ $\displaystyle \sigma$