In mathematics, the rational normal curve is a smooth, rational curve of degree n in projective n-space It is a simple example of a projective variety; formally, it is the Veronese variety when the domain is the projective line. For n=2 it is the flat conic and for n=3 it is the twisted cubic. The term "normal" is an old term meaning that the linear system defining the embedding is complete (and has nothing to do with normal schemes). The intersection of the rational normal curve with an affine space is called the moment curve.
Read more about Rational Normal Curve: Definition, Alternate Parameterization, Properties
Famous quotes containing the words rational, normal and/or curve:
“So far as discipline is concerned, freedom means not its absence but the use of higher and more rational forms as contrasted with those that are lower or less rational.”
—Charles Horton Cooley (1864–1929)
“Separation anxiety is normal part of development, but individual reactions are partly explained by experience, that is, by how frequently children have been left in the care of others.... A mother who is never apart from her young child may be saying to him or her subliminally: “You are only safe when I’m with you.””
—Cathy Rindner Tempelsman (20th century)
“And out again I curve and flow
To join the brimming river,
For men may come and men may go,
But I go on forever.”
—Alfred Tennyson (1809–1892)