ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Deduction system
Zermelo-Fraenkel set theory
Binary cartesian set product
Binary relation
Binary endorelation
Preordering relation
Partial ordering relation
Ordering relation
Ordered set
Map truncation
Definition D1290
Basic function negative part
Formulation 1
Let $f : X \to [-\infty, \infty]$ be a D3180: Basic function.
The negative part of $f$ is the D3180: Basic function \begin{equation} f^- : X \to [-\infty, \infty], \quad f^-(x) = \max(-f(x), 0) \end{equation}