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tensor product

tensor product 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 ⊗.

Noun

tensor product (plural tensor products)

  1. 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 ⊗.
    • 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...2004, David S. Dummit with Richard M. Foote, chapter 11, in Abstract Algebra, →ISBN, →OCLC, page 421
    • [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...2012, 27:30 from the start, in Lecture 1 . Hopf Algebras and Combinatorics (Federico Ardila), spoken by Federico Ardila (Federico Ardila), Federico Ardila, via YouTube

tensor product meaning in Tamil

tensor product in Tamil

மீநெறியன் பெருக்கல்

Forms of tensor product

pluraltensor products

Questions about tensor product

What does tensor product mean?
Tensor product means 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 ⊗.
What is tensor product in Tamil?
Tensor product in Tamil is மீநெறியன் பெருக்கல். See Tensor product meaning in Tamil.
What part of speech is tensor product?
Tensor product is a noun.
What is the plural of tensor product?
The plural of tensor product is tensor products.

Words near tensor product in the dictionary

  1. tensomethings
  2. tenson
  3. tensons
  4. tensor
  5. tensor fasciae latae
  6. tensor product
  7. tensor products
  8. tensor tympani
  9. tensor veli palatini
  10. tensoreceptor
  11. tensoreceptors

Source and license

Adapted from Wiktionary: tensor product (page history and authors); tensor product (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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