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harmonic series

infinite series of the reciprocals of the positive integers
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harmonic series

Summary

harmonic series is a series diverging to infinity[1]. It draws 593 Wikipedia views per month (series_diverging_to_infinity category, ranking #2 of 4).[2]

Key Facts

  • harmonic series's instance of is recorded as series diverging to infinity[3].
  • harmonic series's Commons category is recorded as Harmonic series (mathematics)[4].
  • harmonic series's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[5].
  • harmonic series's described by source is recorded as Armenian Soviet Encyclopedia, vol. 6[6].
  • harmonic series's different from is recorded as harmonic series[7].
  • harmonic series's different from is recorded as alternating harmonic series[8].
  • harmonic series's maintained by WikiProject is recorded as WikiProject Mathematics[9].

Body

Definition and Type

harmonic series's instance of is recorded as series diverging to infinity[3].

Why It Matters

harmonic series draws 593 Wikipedia views per month (series_diverging_to_infinity category, ranking #2 of 4).[2] It has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[10] It is known by 18 alternative names across languages and contexts.[11]

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] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] ↑ . Wikidata sitelinks. wikidata.org.
  3. [11] ↑ . 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). harmonic series. Retrieved May 3, 2026, from https://4ort.xyz/entity/harmonic-series
MLA “harmonic series.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/harmonic-series.
BibTeX @misc{4ortxyz_harmonic-series_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{harmonic series}}, year = {2026}, url = {https://4ort.xyz/entity/harmonic-series}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): harmonic series — https://4ort.xyz/entity/harmonic-series (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 21d ago · KrBot bot · 2026-05-06 view diff on Wikidata ↗
    Great russian encyclopedia online id (2017) → 2344983
    Maintained by wikiproject → WikiProject Mathematics
    Instance of → series diverging to infinity
    Different from → harmonic series, alternating harmonic series
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbsetqualifier-update:1| */ [[Property:P9758]]: [[Q16317911]], разрешение перенаправления / resolving redirect [[Q28920044]] → [[Q16317911]] ([[:toollabs:editgroups/b/KrBotResolvingRedirect/Q289200"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.