# tensor

## English

### Etymology

From New Latin tensor (that which stretches). Anatomical sense from 1704. In the 1840s introduced 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)[1] 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.

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### Pronunciation

tensor (not comparable)

1. Of or relating to tensors

### Noun

tensor (plural tensors)

1. (anatomy) A muscle that stretches a part, or renders it tense.
2. () A mathematical object describing linear relations (may be represented as a multidimensional array).[2]
• 1963, Richard Feynman, “Chapter 31, Tensors”, in The Feynman Lectures on Physics, volume II:
The tensor ${\displaystyle \alpha _{ij}}$ 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.
3. () A norm operation on the quaternion algebra

#### References

1. ^ W. Voigt, Die fundamentalen physikalischen Eigenschaften der Krystalle in elementarer Darstellung, Leipzig, Germany: Veit & Co., 1898, p. 20.
2. ^ Rowland, Todd and Weisstein, Eric W., "Tensor", Wolfram MathWorld.

### Verb

tensor (third-person singular simple present tensors, present participle tensoring, simple past and past participle tensored)

1. To compute the tensor product of two tensors.

## Polish

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tensor m inan

## Spanish

### Noun

tensor m (plural tensores)

## Swedish

### Noun

tensor c

1. (mathematics) tensor; a function which is linear in all variables

#### Declension

Declension of tensor
Singular Plural
Indefinite Definite Indefinite Definite
Nominative tensor tensorn tensorer tensorerna
Genitive tensors tensorns tensorers tensorernas