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