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
Even euclidean real function
Definition D5480
Even real function
Formulation 0
A D4364: Real function $f : \mathbb{R}^N \to \mathbb{R}$ is even if and only if \begin{equation} \forall \, x \in \mathbb{R}^N : f(-x) = f(x) \end{equation}
Results
R4597: Centred gaussian real density function is an even function
R4598: Standard gaussian real density function is an even function