Definition:Bilinear Equation
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Definition
A bilinear equation is an equation of $2$ variables which is linear with respect to each of those variables individually.
Examples
Arbitrary Example
The equation:
- $x + 2 x y + y = 0$
is a bilinear equation with respect to $x$ and $y$.
Also see
- Results about bilinear equations 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