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
Even map
Definition D3997
Even euclidean real function
Formulation 0
A D4363: Euclidean real function $f : \mathbb{R}^N \to \mathbb{R}^M$ is even if and only if \begin{equation} \forall \, x \in \mathbb{R}^N : f(-x) = f(x) \end{equation}
Children
D4696: Conjugate-even complex function
D5480: Even real function
Results
R4287: Finite product of even complex functions is even
R2928: Finite sum of even euclidean real functions is even
R2959: Function even part is even