Cauchy–Schwarz inequality for sums

Intangible theorem Q97485926
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Cauchy–Schwarz inequality for sums

Summary

Cauchy–Schwarz inequality for sums is a theorem[1].

Key Facts

  • Cauchy–Schwarz inequality for sums's instance of is recorded as theorem[2].
  • Cauchy–Schwarz inequality for sums's instance of is recorded as inequality[3].
  • Augustin-Louis Cauchy is named after Cauchy–Schwarz inequality for sums[4].
  • Hermann Schwarz is named after Cauchy–Schwarz inequality for sums[5].
  • Cauchy–Schwarz inequality for sums's subclass of is recorded as inequality[6].
  • Cauchy–Schwarz inequality for sums's different from is recorded as Cauchy–Schwarz inequality[7].
  • Cauchy–Schwarz inequality for sums's defining formula is recorded as \left( \sum_{i = 1}^n a_i b_i \right)^2 \leq \left( \sum_{i = 1}^n a_i^2 \right) \left( \sum_{i = 1}^n b_i^2 \right)[8].
  • Cauchy–Schwarz inequality for sums's MathWorld ID is recorded as CauchysInequality[9].
  • Cauchy–Schwarz inequality for sums's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • Cauchy–Schwarz inequality for sums's ProofWiki ID is recorded as Cauchy's_Inequality[11].
  • Cauchy–Schwarz inequality for sums's in defining formula is recorded as n[12].
  • Cauchy–Schwarz inequality for sums's in defining formula is recorded as a_i[13].
  • Cauchy–Schwarz inequality for sums's in defining formula is recorded as b_i[14].
  • Cauchy–Schwarz inequality for sums's in defining formula is recorded as \sum_{i = 1}^n[15].
  • Cauchy–Schwarz inequality for sums's Digital Library of Mathematical Functions ID is recorded as 1.7.E1[16].
  • Cauchy–Schwarz inequality for sums's Digital Library of Mathematical Functions ID is recorded as 1.2.E51[17].

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.

Class ancestry

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

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APA 4ort.xyz Knowledge Graph. (2026). Cauchy–Schwarz inequality for sums. Retrieved May 3, 2026, from https://4ort.xyz/entity/cauchy-schwarz-inequality-for-sums
MLA “Cauchy–Schwarz inequality for sums.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/cauchy-schwarz-inequality-for-sums.
BibTeX @misc{4ortxyz_cauchy-schwarz-inequality-for-sums_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Cauchy–Schwarz inequality for sums}}, year = {2026}, url = {https://4ort.xyz/entity/cauchy-schwarz-inequality-for-sums}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Cauchy–Schwarz inequality for sums — https://4ort.xyz/entity/cauchy-schwarz-inequality-for-sums (retrieved 2026-05-03)

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