Category:Definitions/Real-Valued Functions
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This category contains definitions related to Real-Valued Functions.
Related results can be found in Category:Real-Valued Functions.
Let $f: S \to T$ be a function.
Let $S_1 \subseteq S$ such that $\map f {S_1} \subseteq \R$.
Then $f$ is said to be real-valued on $S_1$.
That is, $f$ is defined as real-valued on $S_1$ if and only if the image of $S_1$ under $f$ lies entirely within the set of real numbers $\R$.
A real-valued function is a function $f: S \to \R$ whose codomain is the set of real numbers $\R$.
That is, $f$ is real-valued if and only if it is real-valued over its entire domain.
Subcategories
This category has the following 8 subcategories, out of 8 total.
B
C
- Definitions/Contour Plots (3 P)
Pages in category "Definitions/Real-Valued Functions"
The following 16 pages are in this category, out of 16 total.
B
- Definition:Bounded Above Mapping/Real-Valued
- Definition:Bounded Above Mapping/Real-Valued/Unbounded
- Definition:Bounded Above Real-Valued Function
- Definition:Bounded Below Mapping/Real-Valued
- Definition:Bounded Below Mapping/Real-Valued/Unbounded
- Definition:Bounded Below Real-Valued Function
- Definition:Bounded Mapping/Real-Valued
- Definition:Bounded Mapping/Real-Valued/Unbounded
- Definition:Bounded Real-Valued Function