ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Binary cartesian set product
Binary relation
Map
Operation
N-operation
Binary operation
Enclosed binary operation
Groupoid
Ringoid
Semiring
Ring
Additive group
Odd map
Definition D3998
Odd euclidean real function
Formulation 0
A D4363: Euclidean real function $f : \mathbb{R}^N \to \mathbb{R}^M$ is odd if and only if \begin{equation} \forall \, x \in \mathbb{R}^N : f(-x) = - f(x) \end{equation}
Children
Conjugate-odd complex function
Results
Function odd part is odd
Sum of odd functions is odd