In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example,
is a quadratic form in the variables x and y.
Quadratic forms occupy a central place in various branches of mathematics, including number theory, linear algebra, group theory (orthogonal group), differential geometry (Riemannian metric), differential topology (intersection forms of four-manifolds), and Lie theory (the Killing form).
Read more about Quadratic Form: Introduction, History, Real Quadratic Forms, Definitions, Equivalence of Forms, Geometric Meaning, Integral Quadratic Forms
Famous quotes containing the word form:
“Since you saw no form when the LORD spoke to you at Horeb out of the fire, take care and watch yourselves closely, so that you do not act corruptly by making an idol for yourselves, in the form of any figure -the likeness of male or female...”
—Bible: Hebrew, Deuteronomy 4:15,16.