Category:Complex-Valued Functions
Jump to navigation
Jump to search
This category contains results about Complex-Valued Functions.
Definitions specific to this category can be found in Definitions/Complex-Valued Functions.
Let $f: S \to T$ be a function.
Let $S_1 \subseteq S$ such that $f \left({S_1}\right) \subseteq \C$.
Then $f$ is defined as complex-valued on $S_1$.
That is, $f$ is defined as complex-valued on $S_1$ if the image of $S_1$ under $f$ lies entirely within the set of complex numbers $\C$.
A complex-valued function is a function $f: S \to \C$ whose codomain is the set of complex numbers $\C$.
That is $f$ is complex-valued iff it is complex-valued over its entire domain.
Subcategories
This category has the following 2 subcategories, out of 2 total.
B
- Bounded Complex-Valued Functions (empty)
U
- Unbounded Complex-Valued Functions (empty)