 Rational normal curve

A rational normal curve in ${\mathbb{P}}^n$ is the image of the degree-$n$ Veronese map from ${\mathbb{P}}^1$. After projective changes of coordinates it has parametrization

The rational normal curve is a mathematical concept often used in algebraic geometry and related fields. It is defined as the image of the embedding of projective space into a projective space of higher dimensions via a rational parameterization.