maximum modulus principle

theorem that a holomorphic function’s absolute value cannot reach a strict local maximum at the interior of its domain
Intangible theorem Q1050230
maximum modulus principle
Oleg Alexandrov · Public Domain · Wikimedia
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maximum modulus principle

Summary

maximum modulus principle is a theorem[1]. It draws 212 Wikipedia views per month (theorem category, ranking #144 of 1,306).[2]

Key Facts

  • maximum modulus principle's image is recorded as Maximum modulus principle.png[3].
  • maximum modulus principle's instance of is recorded as theorem[4].
  • maximum modulus principle's Freebase ID is recorded as /m/03l8zv[5].
  • maximum modulus principle's MathWorld ID is recorded as MaximumModulusPrinciple[6].
  • maximum modulus principle's Mathematics Subject Classification ID is recorded as 35Q30[7].
  • maximum modulus principle's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • maximum modulus principle's Microsoft Academic ID is recorded as 144304810[9].
  • maximum modulus principle's ProofWiki ID is recorded as Maximum_Modulus_Principle[10].
  • maximum modulus principle's Encyclopedia of Mathematics article ID is recorded as Maximum-modulus_principle[11].
  • maximum modulus principle's Digital Library of Mathematical Functions ID is recorded as 1.10.v[12].

Why It Matters

maximum modulus principle draws 212 Wikipedia views per month (theorem category, ranking #144 of 1,306).[2] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[13]

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] . Freebase Data Dumps. wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] . Wikidata sitelinks. 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). maximum modulus principle. Retrieved May 3, 2026, from https://4ort.xyz/entity/maximum-modulus-principle
MLA “maximum modulus principle.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/maximum-modulus-principle.
BibTeX @misc{4ortxyz_maximum-modulus-principle_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{maximum modulus principle}}, year = {2026}, url = {https://4ort.xyz/entity/maximum-modulus-principle}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): maximum modulus principle — https://4ort.xyz/entity/maximum-modulus-principle (retrieved 2026-05-03)

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