## even odd## EvennessA function f is called " The integral over the range (-a,a) of an even function f is: ## OddnessA function f is called " The integral over the range (-a,a) of an odd function f is 0: ## Even and oddFor a function f to be both even and odd, it has to hold that: Which means: The constant function returning zero is the only function that is both even and odd.
## NeitherIt is possible for a function to be neither even nor odd, but: ## Splitting functionsAny function f can be split into one even part and one odd part: The first outer term is even, the second outer term is odd. Author: Danny (remove the ".nospam" to send) Last modification on: Sat, 04 May 2024 . |