tensor product

concept in linear algebra, generalized throughout mathematics
Thing binary_operation Q1163016
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tensor product

Summary

tensor product is a binary operation[1]. It draws 1,269 Wikipedia views per month (binary_operation category, ranking #3 of 29).[2]

Key Facts

  • tensor product's instance of is recorded as binary operation[3].
  • tensor product's subclass of is recorded as vector multiplication[4].
  • tensor product's part of is recorded as six operations[5].
  • tensor product's Unicode character is recorded as ⊗[6].
  • tensor product's Freebase ID is recorded as /m/07l3_[7].
  • tensor product's Gran Enciclopèdia Catalana ID is recorded as 0203807[8].
  • tensor product's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/tensor-products[9].
  • tensor product's different from is recorded as Kronecker product[10].
  • tensor product's TeX string is recorded as \otimes[11].
  • tensor product's defining formula is recorded as \begin{aligned} &F\in L(V_1, ..., V_k; \mathbb{R}), G \in L(W_1, ..., W_l; \mathbb{R}) \ &F\otimes G(v_1, ..., v_k, w_1, ..., w_l) = F(v_1, ..., v_k)G(w_1, ..., w_l) \end{aligned}[12].
  • tensor product's MathWorld ID is recorded as VectorSpaceTensorProduct[13].
  • tensor product's Quora topic ID is recorded as Tensor-Product[14].
  • tensor product's Open Library subject ID is recorded as tensor_products[15].
  • tensor product's nLab ID is recorded as tensor product[16].
  • tensor product's calculated from is recorded as vector space[17].
  • tensor product's calculated from is recorded as space of linear maps[18].
  • tensor product's maintained by WikiProject is recorded as WikiProject Mathematics[19].
  • tensor product's Microsoft Academic ID is recorded as 51255310[20].
  • tensor product's Encyclopedia of Mathematics article ID is recorded as Tensor_product[21].
  • tensor product's Treccani's Enciclopedia della Matematica ID is recorded as prodotto-tensoriale[22].
  • tensor product's OpenAlex ID is recorded as C51255310[23].
  • tensor product's Gran Enciclopèdia Catalana ID is recorded as producte-tensorial[24].
  • tensor product's FOLDOC ID is recorded as tensor+product[25].

Why It Matters

tensor product draws 1,269 Wikipedia views per month (binary_operation category, ranking #3 of 29).[2] It has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.[26] It is known by 9 alternative names across languages and contexts.[27]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . Introduction to Smooth Manifolds (2nd edition). wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . Quora. wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [26] . Wikidata sitelinks. wikidata.org.
  3. [27] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). tensor product. Retrieved May 3, 2026, from https://4ort.xyz/entity/tensor-product
MLA “tensor product.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/tensor-product.
BibTeX @misc{4ortxyz_tensor-product_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{tensor product}}, year = {2026}, url = {https://4ort.xyz/entity/tensor-product}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): tensor product — https://4ort.xyz/entity/tensor-product (retrieved 2026-05-03)

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