Definition:Bilinear

Definition

A mathematical expression is bilinear with respect to $2$ variables if and only if it is linear with respect to each of those $2$ variables separately.

Bilinear Equation

A bilinear equation is an equation of $2$ variables which is linear with respect to each of those variables individually.

Bilinear Form

A bilinear form is a linear form of order $2$.

Also see

• Results about bilinearity can be found here.

Sources

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