# Bilinear

Robert P. Munafo, 2023 Jun 20.

math. referring to any of the following, which use "bi-" and "linear" in different ways:

- A bilinear map, a function of two arguments that is equivalent to a linear function if either of the two arguments is kept constant,
- Bilinear form, a more specific class of bilinear map,
- Bilinear interpolation, a six-argument function of four vectors and two scalars, linear only if five of the six is kept constant,
- Bilinear transform, a class of functions approximated by a ratio of two linear polynomials (which itself is a Möbius transformation)

The above are different enough from each other that, out of context, the term bilinear is not sufficiently descriptive.

See bivariate linear approximation.

From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2024.

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