# Category:Parametric Equations

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This category contains results about **Parametric Equations**.

Definitions specific to this category can be found in Definitions/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**.

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