tensor

Definitions, parts of speech, synonyms, and sentence examples for tensor.

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Editorial note

Usually this means a whole lot of tensor formulae; see e.g.

Examples11

Definitions4

Parts of speech2

Quick take

To compute the tensor product of two tensors or algebraic structures.

Meaning at a glance

The clearest senses and uses of tensor gathered in one view.

verb

To compute the tensor product of two tensors or algebraic structures.

noun

(anatomy) A muscle that tightens or stretches a part, or renders it tense.

noun

(engineering, computing) A multidimensional array with (at least) two dimensions.

Definitions

Core meanings and parts of speech for tensor.

verb

To compute the tensor product of two tensors or algebraic structures.

noun

(anatomy) A muscle that tightens or stretches a part, or renders it tense.

noun

(engineering, computing) A multidimensional array with (at least) two dimensions.

noun

(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.

Example sentences

Usually this means a whole lot of tensor formulae; see e.g.

In the other direction, is it understood how to implement states of gauge theories as tensor networks?

For example, is there a way to use geometric algebra to better handle tensor manipulation (decomposition etc.)?

At least, not any more than you can understand quantum mechanics or tensor algebra.

I don't know much about tensor networks, so I may not be the right person to answer your question.

I do know that people think about tensor networks seriously as toy models for quantum gravity.

This reminds me of something I never understood fully: Penrose's tensor notation.

Operators need not be represented as a table of numbers or a sparse matrix format, but could use a tensor product, fast transform, or other information to compute the action using less storage.

There are also moment-based methods (Grad's method, for example, being one of the most famous), which have additional equations for parts of the stress tensor (I think; never really read much about them).

For example, here's a recent paper - White matter fractional anisotropy over two time points in early onset schizophrenia and adolescent cannabis use disorder: A naturalistic diffusion tensor imaging study This paper tells me nothing about headache relief, or nausea related to chemotherapy.

I have a question for OP @evanb, or anyone else who's knowledgeable on this: Are ideas from tensor networks (eg: how the relevant degrees of freedom are organized), or even neural networks for that matter, applied to lattice gauge theories?