Algebraic Geometry
In algebraic geometry, an affine variety is the zero set of a polynomial, or collection of polynomials. Similarly, a projective variety is the projectivization of the zero set of a collection of homogeneous polynomials.
Read more about this topic: Zero Set
Famous quotes containing the words algebraic and/or geometry:
“I have no scheme about it,no designs on men at all; and, if I had, my mode would be to tempt them with the fruit, and not with the manure. To what end do I lead a simple life at all, pray? That I may teach others to simplify their lives?and so all our lives be simplified merely, like an algebraic formula? Or not, rather, that I may make use of the ground I have cleared, to live more worthily and profitably?”
—Henry David Thoreau (18171862)
“I am present at the sowing of the seed of the world. With a geometry of sunbeams, the soul lays the foundations of nature.”
—Ralph Waldo Emerson (18031882)