Definition:Bilinear
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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