Word Pronunciation & Dictionary

tensor product

Word Rarity Rare

Frequency: Zipf frequency 3.03 in modern English

Syllables: ten-sor prod-uct
IPA

18

Scrabble Score

13

Letters

3

Syllables

10

Unique Chars

Meaning

noun

The most general bilinear operation in various contexts (as with vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, modules, and so on), denoted by ⊗.

Example Sentences

"Linear Transformations on Tensor Products of Vector Spaces [...] Proposition 16. Let V and W be finite dimensional vector spaces over the field F with bases v#95;1,...,v#95;n and w#95;1,...,w#95;m respectively. Then V#92;otimes#95;FW is a vector space over F of dimension nm with basis v#95;i#92;otimesw#95;j, 1#92;lei#92;len and 1#92;lej#92;lem."
"[The tensor product] U#92;otimesV is the span of #92;#123;u#92;otimesv#58;u#92;inU,v#92;inV#92;#125; modulo the relations #92;begin#123;cases#125;#92;cdot#92;u#92;otimes(v#43;v')#61;u#92;otimesv#43;u#92;otimesv'#92;#92;#92;cdot#92;(u#43;u')#92;otimesv#61;u#92;otimesv#43;u'#92;otimesv#92;#92;#92;cdot#92;(#92;lambdau)#92;otimesv#61;#92;lambda(u#92;otimesv)#61;u#92;otimes(#92;lambdav)#92;end#123;cases#125;"

Inflected Forms

tensor products (plural)

Questions

What does tensor product mean?: The most general bilinear operation in various contexts (as with vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, modules, and so on), denoted by ⊗.

How to pronounce tensor product

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