seven-dimensional cross product

bilinear operation on vectors in seven-dimensional Euclidean space
Thing general Q3406765
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seven-dimensional cross product

Summary

seven-dimensional cross product ranks in the top 2% of general entities by monthly Wikipedia readership (136 views/month).[1]

Key Facts

  • seven-dimensional cross product's subclass of is recorded as vector multiplication[2].
  • seven-dimensional cross product's Freebase ID is recorded as /m/076_zn[3].
  • seven-dimensional cross product's facet of is recorded as seven-dimensional space[4].
  • seven-dimensional cross product's defining formula is recorded as \begin{aligned}e_i\times e_j&=\epsilon_{ijk}e_k \ \epsilon_{ijk}&=\epsilon_{jki}=-\epsilon_{jik}\\epsilon_{ijk}&=1\quad(ijk\in{ 123, 145, 176, 246, 257, 347, 365})\end{aligned}[5].
  • seven-dimensional cross product's maintained by WikiProject is recorded as WikiProject Mathematics[6].
  • seven-dimensional cross product's Microsoft Academic ID is recorded as 173815609[7].
  • seven-dimensional cross product's in defining formula is recorded as \times[8].

Why It Matters

seven-dimensional cross product ranks in the top 2% of general entities by monthly Wikipedia readership (136 views/month).[1] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[9]

📑 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). seven-dimensional cross product. Retrieved April 10, 2026, from https://4ort.xyz/entity/seven-dimensional-cross-product
MLA “seven-dimensional cross product.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/seven-dimensional-cross-product.
BibTeX @misc{4ortxyz_seven-dimensional-cross-product_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{seven-dimensional cross product}}, year = {2026}, url = {https://4ort.xyz/entity/seven-dimensional-cross-product}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): seven-dimensional cross product — https://4ort.xyz/entity/seven-dimensional-cross-product (retrieved 2026-04-10)

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