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applied to the vectors [1 x], [1 y], etc. The general form can be written as a tensor contraction:

For example, in two variables:

Properties

A multilinear polynomial is linear (affine) when varying only one variable, :where and do not depend on . Note that is generally not zero, so is linear in the "shaped like a line" sense, but not in the "directly proportional" sense of a multilinear map.

All repeated second partial derivatives

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