bilinear form
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Encyclopedic overview
In mathematics, a bilinear form is a bilinear map V × V → K on a vector space V (the elements of which are called vectors) over a field K (the elements of which are called scalars). In other words, a bilinear form is a function B : V × V → K that is linear in each argument separately:
B(u + v, w) = B(u, w) + B(v, w) and B(λu, v) = λB(u, v)
Excerpted from Wikipedia’s “bilinear form” article, available under the CC BY-SA 4.0 licence.