tensor en · NOUN
Pronunciation
- /ˈtɛn.sə/ (Received-Pronunciation)
- /ˈtɛn.sɔː/ (Received-Pronunciation)
- /ˈtɛn.sɔɹ/ (General-American)
- (Southern-England) audio
- /ˈtɛn.sɚ/ (General-American)
Etymology
Borrowed from New Latin tensor (“that which stretches”), equivalent to tense + -or. Anatomical sense from 1704. Introduced in the 1840s by William Rowan Hamilton as an algebraic quantity unrelated to the modern notion of tensor. The contemporary mathematical meaning was introduced (as German Tensor) 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, Cauchy stress tensor on Wikipedia.Wikipedia )
Meanings
- A muscle that tightens or stretches a part, or renders it tense.
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A mathematical object that describes linear relations on scalars, vectors, matrices and other algebraic objects, and is represented as a multidimensional array.
The tensor #92;alpha#95;#123;ij#125; should really be called a “tensor of second rank,” because it has two indexes. A vector—with one index—is a tensor of the first rank, and a scalar—with no index—is a tensor of zero rank.
1963, Richard Feynman, “Chapter 31, Tensors”, in The Feynman Lectures on Physics, volume II:
- A mathematical object that describes linear relations on scalars, vectors, matrices and other algebraic objects, and is represented as a multidimensional array. ▸ A multidimensional array with (at least) two dimensions.
- (obsolete) A norm operation on the quaternion algebra.
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| tensores | Number=Plur | lexicographic | |
| tensors | Number=Plur | lexicographic |
Coordinates
Deriveds
tonic tensor tympani syndrome · tensorial · tensor product · tensor field · tensor algebra · tensor operator · bitensor
Hypernyms
Translations (55)
ar مُوتَر (matrix of matrices) · no tensor (function of several variables) · tl katuganuhan (matrix of matrices) · ru те́нзор (matrix of matrices) · tl katuganhan (matrix of matrices) · bg тензор (image of a tuple under a tensor product map) · bg флексор (muscle) · sh tenzor (matrix of matrices) · tl katuganuhan (function of several variables) · tl katuganhan (image of a tuple under a tensor product map) · de Tensor (function of several variables) · tr tensör (matrix of matrices) · tr tensör (function of several variables) · kk тензор (matrix of matrices) · bg тензор (function of several variables) · ru те́нзор (function of several variables) · sv tensor (function of several variables) · it tensore (image of a tuple under a tensor product map) · it tensore (function of several variables) · io tensoro (function of several variables) · pl tensor (matrix of matrices) · sh tenzor (function of several variables) · sv tensor (image of a tuple under a tensor product map) · yue 張量 /张量 (function of several variables) · kk тензор (function of several variables) · bg тензор (matrix of matrices) · it tensore (muscle) · tl katuganhan (function of several variables) · hi प्रदिश (image of a tuple under a tensor product map) · tr tensör (image of a tuple under a tensor product map) · ro tensor (image of a tuple under a tensor product map) · is þinur (image of a tuple under a tensor product map) · cs tenzor (image of a tuple under a tensor product map) · it tensore (matrix of matrices) · el τανυστής (matrix of matrices) · tl katuganuhan (image of a tuple under a tensor product map) · pl tensor (image of a tuple under a tensor product map) · fi tensori (image of a tuple under a tensor product map) · fi tensori (matrix of matrices) · de Tensor (image of a tuple under a tensor product map) · sh tenzor (image of a tuple under a tensor product map) · cmn 張肌 /张肌 (muscle) · de Tensor (matrix of matrices) · fi jännittäjälihas (muscle) · no tensor (matrix of matrices) · cmn 張量 /张量 (function of several variables) · fr tenseur (function of several variables) · pl napinacz (muscle) · sv tensor (matrix of matrices) · eo tensoro (image of a tuple under a tensor product map) · ar مُوتَر (function of several variables) · pl tensor (function of several variables) · fi tensori (function of several variables) · no tensor (image of a tuple under a tensor product map) · tl kalamnang pamatak (muscle)