tensor

Etymology
Borrowed from, equivalent to. Anatomical sense from 1704. Introduced in the 1840s by as an algebraic quantity unrelated to the modern notion of tensor. The contemporary mathematical meaning was introduced (as ) by Woldemar Voigt (1898) and adopted in English from 1915 (in the context of general relativity), obscuring the earlier Hamiltonian sense. The mathematical object is so named because an early application of tensors was the study of materials stretching under tension. (See, for example, )

Noun

 * 1)  A muscle that tightens or stretches a part, or renders it tense.
 * 2)  A mathematical object that describes linear relations on scalars, vectors, matrices and other algebraic objects, and is represented as a multidimensional array.
 * 3)  A norm operation on the quaternion algebra.
 * 1)  A norm operation on the quaternion algebra.
 * 1)  A norm operation on the quaternion algebra.
 * 1)  A norm operation on the quaternion algebra.
 * 1)  A norm operation on the quaternion algebra.

Usage notes

 * The array's dimensionality (number of indices needed to label a component) is called its (also  or ).
 * Tensors operate in the context of a vector space and thus within a choice of, but, because they express relationships between vectors, must be independent of any given choice of basis. This independence takes the form of a law of and/or contravariant transformation that relates the arrays computed in different bases. The precise form of the transformation law determines the type (or valence) of the tensor. The  is a pair of natural numbers (n, m), where n is the number of  and m the number of . The total order of the tensor is the sum n + m.

Translations

 * Bulgarian: флексор
 * Chinese:
 * Mandarin: 張肌
 * Finnish: jännittäjälihas
 * Italian:
 * Tagalog: kalamnang pamatak


 * Czech: tenzor
 * Esperanto: tensoro
 * Finnish:
 * German:
 * Hindi: प्रदिश
 * Icelandic:
 * Italian:
 * Norwegian: tensor
 * Polish:
 * Romanian:
 * Serbo-Croatian:
 * Swedish:
 * Tagalog: katuganhan, katuganuhan
 * Turkish: tensör


 * Arabic: موتر
 * Finnish:
 * French:
 * German:
 * Italian:
 * Norwegian: tensor
 * Polish:
 * Serbo-Croatian:
 * Swedish:
 * Tagalog: katuganhan, katuganuhan
 * Turkish: tensör


 * Arabic: موتر
 * Bulgarian: тензор
 * Finnish:
 * German:
 * Greek: τανυστής
 * Italian:
 * Norwegian: tensor
 * Polish:
 * Serbo-Croatian:
 * Swedish:
 * Tagalog: katuganhan, katuganuhan
 * Turkish: tensör

Verb

 * 1) To compute the tensor product of two tensors or algebraic structures.

Etymology
Ultimately or directly from.

Etymology
From.

Noun

 * 1) that which stretches

Etymology
.

Adjective

 * 1) tensing; tensile

Etymology
or.

Adjective

 * 1) tensing; tensile

Noun

 * 1)  ; a function which is linear in all variables