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Factoid Details

‘A (bilinear form) can be on some space.’

[⟨a{n} (nn bilinear.n form.n)⟩ on.p ⟨some-number-of space.n⟩]

Learned by Reading

In Wikipedia:

A metric tensor is defined to be a nondegenerate symmetric bilinear form on each tangent space, which varies smoothly from point to point.
(Parse)

In Wikipedia:

Explicitly, the metric is a symmetric bilinear form on each tangent space of “M” which varies in a smooth (or differentiable) manner from point to point.
(Parse)

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Queried on 2013-05-24.