Category:Definitions/Implicit Functions
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This category contains definitions related to Implicit Functions.
Related results can be found in Category:Implicit Functions.
Consider a (real) function of two independent variables $z = \map f {x, y}$.
Let a relation between $x$ and $y$ be expressed in the form $\map f {x, y} = 0$ defined on some subset of $\R^2$.
If there exists a function:
- $y = \map g x$
defined on some real interval $\mathbb I$ such that:
- $\forall x \in \mathbb I: \map f {x, \map g x} = 0$
then the relation $\map f {x, y} = 0$ defines $y$ as an implicit function of $x$.
Pages in category "Definitions/Implicit Functions"
The following 3 pages are in this category, out of 3 total.