### What does **tensor** mean?

# Definitions for tensor

ˈtɛn sər, -sɔrten·sor

#### Here are all the possible meanings and translations of the word **tensor**.

### Princeton's WordNet

tensornoun

a generalization of the concept of a vector

tensornoun

any of several muscles that cause an attached structure to become tense or firm

### Wiktionary

tensornoun

A muscle that stretches a part, or renders it tense.

tensornoun

the image of a tuple under a tensor product map

tensornoun

a function of several variables which is a product of a number of functions of one variable, one for each variable, each of which is linear in that variable

tensornoun

a matrix of matrices

tensorverb

To compute the tensor product of something with something else

tensoradjective

Of or relating to tensors

### Webster Dictionary

Tensornoun

a muscle that stretches a part, or renders it tense

Tensornoun

the ratio of one vector to another in length, no regard being had to the direction of the two vectors; -- so called because considered as a stretching factor in changing one vector into another. See Versor

### Freebase

Tensor

Tensors are geometric objects that describe linear relations between vectors, scalars, and other tensors. Elementary examples of such relations include the dot product, the cross product, and linear maps. Vectors and scalars themselves are also tensors. A tensor can be represented as a multi-dimensional array of numerical values. The order of a tensor is the dimensionality of the array needed to represent it, or equivalently, the number of indices needed to label a component of that array. For example, a linear map can be represented by a matrix, a 2-dimensional array, and therefore is a 2nd-order tensor. A vector can be represented as a 1-dimensional array and is a 1st-order tensor. Scalars are single numbers and are thus 0th-order tensors. Tensors are used to represent correspondences between sets of geometric vectors. For example, the stress tensor T takes a direction v as input and produces the stress T on the surface normal to this vector for output thus expressing a relationship between these two vectors, shown in the figure. Because they express a relationship between vectors, tensors themselves must be independent of a particular choice of coordinate system. Taking a coordinate basis or frame of reference and applying the tensor to it results in an organized multidimensional array representing the tensor in that basis, or like it looks from that frame of reference. The coordinate independence of a tensor then takes the form of a "covariant" transformation law that relates the array computed in one coordinate system to that computed in another one. This transformation law is considered to be built into the notion of a tensor in a geometric or physical setting, and the precise form of the transformation law determines the type of the tensor.

### Entomology

Tensor

a muscle which stretches a membrane.

### Anagrams for tensor »

Nestor

Stoner

Tenors

### Numerology

Chaldean Numerology

The numerical value of tensor in Chaldean Numerology is:

**8**Pythagorean Numerology

The numerical value of tensor in Pythagorean Numerology is:

**1**

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## Translations for **tensor**

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"tensor." *Definitions.net.* STANDS4 LLC, 2021. Web. 9 Dec. 2021. <https://www.definitions.net/definition/tensor>.