Definition:Quadratic Form (Polynomial Theory)

This page is about Quadratic Form in the context of Polynomial Theory. For other uses, see Quadratic Form.

Definition

A quadratic form is a form whose variables are of degree $2$.

Examples

Arbitrary Example

An example of a quadratic form is:

$a x^2 + b x y + c y^2$

Also see

• Results about quadratic forms in the context of polynomial theory can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): form
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): form