Category:Definitions/Parametric Equations

This category contains definitions related to Parametric Equations.
Related results can be found in Category:Parametric Equations.

Let $\map \RR {x_1, x_2, \ldots, x_n}$ be a relation on the variables $x_1, x_2, \ldots, x_n$.

Let the truth set of $\RR$ be definable as:

$\forall k \in \N: 1 \le k \le n: x_k = \map {\phi_k} t$

where:

$t$ is a variable whose domain is to be defined

each of $\phi_k$ is a mapping whose domain is the domain of $t$ and whose codomain is the domain of $x_k$.

Then each of:

$x_k = \map {\phi_k} t$

is a parametric equation.