Tensor - Revision history

Karl Jones at 00:23, 16 April 2016

2016-04-16T00:23:46Z

Karl Jones: /* External links */

2016-02-23T09:30:38Z

‎External links

Karl Jones: Created page with "'''Tensors''' are geometric objects that describe linear relations between geometric vectors, scalars, and other tensors. == Description == Elementary examples..."

2016-02-23T09:29:10Z

Created page with "'''Tensors''' are geometric objects that describe linear relations between geometric vectors, scalars, and other tensors. == Description == Elementary examples..."

New page

'''Tensors''' are [[Geometry|geometric objects]] that describe linear relations between geometric vectors, scalars, and other tensors.

== Description ==

Elementary examples of such relations include the dot product, the cross product, and linear maps.

Euclidean vectors, often used in physics and engineering applications, and scalars themselves are also tensors.

A more sophisticated example is the Cauchy stress tensor T, which takes a direction v as input and produces the stress T(v) on the surface normal to this vector for output, thus expressing a relationship between these two vectors.

In terms of a coordinate basis or fixed frame of reference, a tensor can be represented as an organized multidimensional array of numerical values.

The order (also degree) of a tensor is the dimensionality of the array needed to represent it, or equivalently, the number of indices needed to label a component of that array.

== See also ==

* [[Geometry]]
* [[Mathematics]]

== External links ==

* [https://en.wikipedia.org/wiki/Tensor Tensor] @ Wikipedia

← Older revision		Revision as of 09:30, 23 February 2016
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	* [https://en.wikipedia.org/wiki/Tensor Tensor] @ Wikipedia		* [https://en.wikipedia.org/wiki/Tensor Tensor] @ Wikipedia
		+	* [https://en.wikipedia.org/wiki/Glossary_of_tensor_theory Glossary of tensor theory]

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 == Description ==
-Elementary examples of such relations include the dot product, the cross product, and linear maps.
+Elementary examples of such relations include the [[dot product]], the [[cross product]], and [[Linear map|linear maps]].
 Euclidean vectors, often used in physics and engineering applications, and scalars themselves are also tensors.
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 * [https://en.wikipedia.org/wiki/Tensor Tensor] @ Wikipedia
 * [https://en.wikipedia.org/wiki/Glossary_of_tensor_theory Glossary of tensor theory]