# tensor

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Related to Multilinear operator: Multilinear function

## tensor

[ten´sor]
any muscle that stretches or makes tense.

, pl.

## ten·so·res

(ten'sŏr, ten-sō'rēz),
A muscle the function of which is to render a part firm and tense.
[Mod. L. fr. L. tendo, pp. tensus, to stretch]

## tensor

(tĕn′sər, -sôr′)
n.
1. Anatomy A muscle that stretches or tightens a body part.
2. Mathematics A set of quantities that obey certain transformation laws relating the bases in one generalized coordinate system to those of another and involving partial derivative sums. Vectors are simple tensors.

## ten·sor

, pl. tensores (ten'sŏr, ten-sŏr'ēz)
A muscle the function of which is to render a part firm and tense.
[Mod. L. fr. L. tendo, pp. tensus, to stretch]

## tensor

A muscle that tenses a part.
References in periodicals archive ?
The following characterizations of continuous polynomials are elementary (analogous results hold for multilinear operators):
The Polarization Formula relates polynomials and symmetric multilinear operators in a very useful way.
The last applications of the Holder inequality for mixed [l.sub.p] spaces presented here concern the Hardy--Littlewood inequality and the theory of multiple summing multilinear operators. As in the case of the Bohnenblust--Hille inequality (Section 5) the Holder inequality for multiple exponents allows a significant improvement in the constants of the Hardy--Littlewood inequality.
If T [member of] L ([X.sub.1], ..., [X.sub.m]; Y) is such that T* is a Cohen strongly p*-summing linear operator, then T is strongly p-summing multilinear operator.
The class of strongly summing multilinear operators was introduced by Dimant in [6].
We shall finish this section by announcing the definition of multilinear operators of finite type, as stated in [8].

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