Category:Horizontal Section of Functions
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This category contains results about Horizontal Section of Functions.
Let $X$ and $Y$ be sets.
Let $f : X \times Y \to \overline \R$ be an extended real-valued function.
Let $y \in Y$.
We define the $y$-horizontal section $f^y$ of $f$ by:
- $\map {f^y} x = \map f {x, y}$
for each $x \in X$.
Pages in category "Horizontal Section of Functions"
The following 12 pages are in this category, out of 12 total.
H
- Horizontal Section of Characteristic Function is Characteristic Function of Horizontal Section
- Horizontal Section of Continuous Function is Continuous
- Horizontal Section of Linear Combination of Functions is Linear Combination of Horizontal Sections
- Horizontal Section of Measurable Function is Measurable
- Horizontal Section of Simple Function is Simple Function
- Horizontal Section preserves Increasing Sequences of Functions
- Horizontal Section preserves Pointwise Limits of Sequences of Functions