Definition:Explicit Function
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Definition
An explicit function is a (usually) real function which is defined in the form:
- $y = \map f {x_1, x_2, \ldots, x_n}$
where $y$ is the independent variable.
Examples
Arbitrary Example
The real function defined as:
- $y = {x_1}^2 + 2 x_2 + x_2 {x_3}^2$
is an explicit function of $y$.
Also see
- Results about explicit functions can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): explicit function
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): explicit function