Category:Definitions/Signum Function
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This category contains definitions related to Signum Function.
Related results can be found in Category:Signum Function.
Let $X \subseteq \R$ be a subset of the real numbers.
The signum function $\sgn: X \to \set {-1, 0, 1}$ is defined as:
- $\forall x \in X: \map \sgn x := \sqbrk {x > 0} - \sqbrk {x < 0}$
where $\sqbrk {x > 0}$ etc. denotes Iverson's convention.
That is:
- $\forall x \in X: \map \sgn x := \begin {cases} -1 & : x < 0 \\ 0 & : x = 0 \\ 1 & : x > 0 \end {cases}$
Pages in category "Definitions/Signum Function"
The following 6 pages are in this category, out of 6 total.