Overview
A curve is a function of a real variable {% t %}
{% \vec{p} = \vec{p}(t) %}
Typically, the range of the function is taken to be {% \mathbb{R}^n %} for some
{% n > 1 %}
Given a domain, say {% \mathbb{R}^3 %}, the curve can be written as a set a coordinate functions
{% \vec{p}(t) = p(x(t), y(t), z(t)) %}