Definition:Quadratic Space

Definition
Let $\mathbb K$ be a field.

A quadratic space over $\mathbb K$ is a pair $\left({V, q}\right)$ where:
 * $V$ is a vector space over $\mathbb K$ of finite dimension $n>0$
 * $q$ is a quadratic form on $V$.

Also see

 * Definition:Bilinear Space