al-valued functions is the direct sum of the subspaces of even and odd functions. In other words, every function f(x) can be written uniquely as the sum of an even function and an odd function:f(x)=feven(x)+fodd(x),{\displaystyle f(x)=f_{\text{even}}(x)+f_{\text{odd}}(x)\,,}wherefeven(x)=f(x)+f(−x)2{\displaystyle f_{\text{even}}(x)={\frac {f(x)+f(-x)}{2}}}is even andfodd(x)=f(x)−f(−x)2{\displaystyle f_{\text{odd}}(x)={\frac {f(x)-f(-x)}{2}}}is odd.The even functions form a commutative algebra over the reals. However, the odd functions do not form an algebra over the reals.ප්‍රසංවාද[සංස්කරණය]In signal processing, harmonic distortion occurs when a sine wave signal is multiplied by a non-linear transfer function. The type of harmonics produced depend on the transfer function:[1]When the transfer function is even, the resulting signal will consist of only even harmonics of th