Definitions for tensor productten·sor prod·uct

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1. Tensor product

In mathematics, the tensor product V ⊗ W of two vector spaces V and W (over the same field) is itself a vector space, endowed with the operation of bilinear composition, denoted by ⊗, from ordered pairs in the Cartesian product V × W to V ⊗ W in a way that generalizes the outer product. Essentially the difference between a tensor product of two vectors and an ordered pair of vectors is that if one vector is multiplied by a nonzero scalar and the other is multiplied by the reciprocal of that scalar, the result is a different ordered pair of vectors, but the same tensor product of two vectors, and that the pairs of vectors are added one coordinate at a time (with the other coordinate being the same throughout) rather than both coordinates at the same time - all as one would expect if the vectors were "directly multiplied" in some sense, the tensor product making this idea precise. The tensor product of V and W is the vector space generated by the symbols v ⊗ w, with v ∈ V and w ∈ W, in which the relations of bilinearity are imposed for the product operation ⊗, and no other relations are assumed to hold. The tensor product space is thus the "freest" (or most general) such vector space, in the sense of having the fewest constraints.

Numerology

1. Chaldean Numerology

The numerical value of tensor product in Chaldean Numerology is: 6

2. Pythagorean Numerology

The numerical value of tensor product in Pythagorean Numerology is: 8

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"tensor product." Definitions.net. STANDS4 LLC, 2024. Web. 21 Apr. 2024. <https://www.definitions.net/definition/tensor+product>.

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A usurious
B pecuniary
C tantamount
D naiant