New posts in even-and-odd-functions

Do holes affect the type of function (even, odd or neither)

algebra-precalculus functions rational-functions even-and-odd-functions

Is $\sqrt{x}$ an even function?

functions definition even-and-odd-functions

Is $f(\theta) = 1 - \alpha \sin{\theta}$ an odd function?

algebra-precalculus curves even-and-odd-functions

When an odd polynomial is a one-one map on $\mathbb{R}$

polynomials even-and-odd-functions

Why is $\hat f(\xi)/\xi\in L^1(\mathbb R)$ when $f\in L^1$ is odd,$\hat f'(0)$ exists, and $\hat f(\xi)$ always has the same sign as $\xi$?

real-analysis integration fourier-analysis fourier-transform even-and-odd-functions

If $f \circ f$ is odd, then is so $f$?

calculus even-and-odd-functions

Generalization of even / odd functions

category-theory even-and-odd-functions

Is $x\log\bigl(\cos(x)\bigr)$ an even or odd function?

real-analysis functions even-and-odd-functions

Improper Integral - Odd Function and Symmetric range but Diverge

improper-integrals even-and-odd-functions

Determining whether a piecewise function is odd or even

functions piecewise-continuity even-and-odd-functions

Relation of bijective functions and even functions?

functions even-and-odd-functions

Let $E,O$ $\subset$ $F(R,R)$ denote the sets of even and odd functions respectively. Prove that the $E$ and $O$ are subspaces.

linear-algebra vector-spaces even-and-odd-functions

Can we use symmetry rules in improper integrals?

real-analysis integration improper-integrals even-and-odd-functions

Can there be a function that's even and odd at the same time?

algebra-precalculus functions even-and-odd-functions

$f(a)+f(-b)=0$ implies $f(-a)+f(b)=0$. Then $f$ is an odd function?

real-analysis functions functional-equations even-and-odd-functions

How do I divide a function into even and odd sections?

functions even-and-odd-functions

Why it is important to write a function as sum of even and odd functions?

calculus even-and-odd-functions