Category:Definitions/Extended Real Numbers
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This category contains definitions related to Extended Real Numbers.
Related results can be found in Category:Extended Real Numbers.
The extended real number line $\overline \R$ is defined as:
- $\overline \R := \R \cup \set {+\infty, -\infty}$
that is, the set of real numbers together with two auxiliary symbols:
- $+\infty$, positive infinity
- $-\infty$, negative infinity
such that:
- $\forall x \in \R: x < +\infty$
- $\forall x \in \R: -\infty < x$
Pages in category "Definitions/Extended Real Numbers"
The following 21 pages are in this category, out of 21 total.
A
E
- Definition:Extended Absolute Value
- Definition:Extended Real Addition
- Definition:Extended Real Multiplication
- Definition:Extended Real Number Line
- Definition:Extended Real Number Line/Definition 1
- Definition:Extended Real Number Line/Definition 2
- Definition:Extended Real Number Space
- Definition:Extended Real Ordering
- Definition:Extended Real Sigma-Algebra
- Definition:Extended Real Subtraction
- Definition:Extended Real-Valued Function
- Definition:Pointwise Maximum of Mappings/Extended Real-Valued Functions
- Definition:Pointwise Minimum of Mappings/Extended Real-Valued Functions