tensor product

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English[edit]

English Wikipedia has an article on:
Wikipedia

Noun[edit]

tensor product (plural tensor products)

  1. (mathematics) 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 .
    • 2004, David S. Dummit with Richard M. Foote, chapter 11, in Abstract Algebra[1], →ISBN, →OCLC, page 421:
      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 and respectively. Then is a vector space over F of dimension nm with basis , and .
    • 2012, 27:30 from the start, in Lecture 1 . Hopf Algebras and Combinatorics (Federico Ardila)[2], spoken by Federico Ardila (Federico Ardila), Federico Ardila, via YouTube:
      [The tensor product] is the span of
          modulo the relations
          

Usage notes[edit]

  • The ⊗ symbol can be read out as “tensor”.

Hyponyms[edit]

Meronyms[edit]

  • tensor (if the tensor product is between algebraic structures)

Holonyms[edit]

Translations[edit]