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Topic: Tensor Definition
Replies: 16   Last Post: Jul 16, 2013 8:48 PM

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Shmuel (Seymour J.) Metz

Posts: 3,357
Registered: 12/4/04
Re: Tensor Definition
Posted: Jul 9, 2013 4:29 PM
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In <slrnktoo44.pkp.hrubin@skew.stat.purdue.edu>, on 07/09/2013
at 07:06 PM, Herman Rubin <hrubin@skew.stat.purdue.edu> said:

>That "definition" must have been written by a physicist.

Prior to 1905 <g, d & r>

>A better definition of a tensor is an element of the function space
>from a product of finite indices to a linear space, usually the base
>field.


That's bog standard for finite dimensions, but it has issues in the
infinite dimensional case.

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