dual basis

basis on a dual vector space canonically associated to a basis on the original vector space
Thing general Q2297777
Press Enter · cited answer in seconds

dual basis

Summary

dual basis ranks in the top 2% of general entities by monthly Wikipedia readership (59 views/month).[1]

Key Facts

  • dual basis's subclass of is recorded as basis[2].
  • dual basis's Freebase ID is recorded as /m/025rrn5[3].
  • dual basis's defining formula is recorded as \langle e_i,e^{*j}\rangle=\delta^j_i[4].
  • dual basis's MathWorld ID is recorded as DualBasis[5].
  • dual basis's nLab ID is recorded as dual basis[6].
  • dual basis's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • dual basis's Microsoft Academic ID is recorded as 43221960[8].
  • dual basis's in defining formula is recorded as e_i[9].
  • dual basis's in defining formula is recorded as e^{*j}[10].
  • dual basis's in defining formula is recorded as \delta_i^j[11].
  • dual basis's Encyclopedia of Mathematics article ID is recorded as Dual_basis[12].

Why It Matters

dual basis ranks in the top 2% of general entities by monthly Wikipedia readership (59 views/month).[1] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[13] It is known by 4 alternative names across languages and contexts.[14]

📑 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). dual basis. Retrieved April 10, 2026, from https://4ort.xyz/entity/dual-basis
MLA “dual basis.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/dual-basis.
BibTeX @misc{4ortxyz_dual-basis_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{dual basis}}, year = {2026}, url = {https://4ort.xyz/entity/dual-basis}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): dual basis — https://4ort.xyz/entity/dual-basis (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/dual-basis · Last refreshed: