# Today I Learned

Some of the things I've learned every day since Oct 10, 2016

## 80: Multilinear Forms

In abstract algebra, a multilinear form is a mapping

$f: V^n \rightarrow F$

where $V$ is a vector space over the field $F$, such that each argument of $f$ is linear over $F$ with the other arguments held fixed. A special case of this is when $n = 2$ and $f$ is a bilinear form.

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