different between tensor vs tenser
tensor
English
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 )
Pronunciation
- (Received Pronunciation) IPA(key): /?t?n.s?/, /?t?n.s??/
- (General American) IPA(key): /?t?n.s?/, /?t?n.s??/
- Rhymes: -?ns?(?)
Noun
tensor (plural tensors or (muscle) tensores)
- (anatomy) A muscle that tightens or stretches a part, or renders it tense. [from 17th c.]
- Hyponyms: tensor fasciae latae, tensor tympani, tensor veli palatini
- (mathematics, linear algebra, physics) A mathematical object that describes linear relations on scalars, vectors, matrices and other algebraic objects, and is represented as a multidimensional array. [from 18th c.]
- Hypernym: function
- Hyponyms: duotensor, eigentensor, Faraday tensor, hypertensor, metric tensor, pseudotensor, subtensor, supertensor, vector, Weyl tensor, zero tensor
- (mathematics, obsolete) A norm operation on the quaternion algebra.
Usage notes
(mathematics, linear algebra):
- The array's dimensionality (number of indices needed to label a component) is called its order (also degree or rank).
- Tensors operate in the context of a vector space and thus within a choice of basis vectors, 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 covariant 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 tensor type is a pair of natural numbers (n, m), where n is the number of contravariant indices and m the number of covariant indices. The total order of the tensor is the sum n + m.
Derived terms
Translations
Verb
tensor (third-person singular simple present tensors, present participle tensoring, simple past and past participle tensored)
- To compute the tensor product of two tensors.
References
- “tensor”, in Lexico, Dictionary.com; Oxford University Press, 2019–present.
- “tensor”, in Merriam–Webster Online Dictionary, (Please provide a date or year).
Anagrams
- -setron, Nestor, Nortes, Reston, Sterno, Stoner, Trones, noters, sterno-, stoner, tenors, toners, trones
Dutch
Etymology
Ultimately or directly from Latin tensor.
Pronunciation
- IPA(key): /?t?n.z?r/, /?t?n.s?r/
- Hyphenation: ten?sor
- Rhymes: -?nz?r
Noun
tensor m (plural tensoren)
- (mathematics, linear algebra) tensor
Derived terms
- tensoralgebra
Latin
Etymology
From tend? (“stretch, distend, extend”) +? -tor (agent suffix).
Pronunciation
- (Classical) IPA(key): /?ten.sor/, [?t???s??r]
- (Ecclesiastical) IPA(key): /?ten.sor/, [?t??ns?r]
Noun
tensor m (genitive tens?ris); third declension (New Latin)
- that which stretches
Inflection
Third-declension noun.
Descendants
- ? English: tensor
Polish
Pronunciation
- IPA(key): /?t??.s?r/
Noun
tensor m inan
- (mathematics) tensor
Declension
Derived terms
- tensorowy
Spanish
Adjective
tensor (feminine tensora, masculine plural tensores, feminine plural tensoras)
- tensing; tensile
Noun
tensor m (plural tensores)
- tensor
Derived terms
Swedish
Noun
tensor c
- (mathematics) tensor; a function which is linear in all variables
Declension
Anagrams
- noters, ortens, rosten, rotens, sorten, toners
tensor From the web:
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tenser
English
Adjective
tenser
- comparative form of tense: more tense
Anagrams
- Enters, Ernest, Senter, enters, entres, ernest, nester, renest, rentes, resent, sterne, strene, treens
tenser From the web:
- tensor means
- tensorflow
- tensor quantity
- what does tender mean
- what does tender look like
- what is tensorflow used for
- tensorflow python
- tensor cores
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