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