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totally real number field

a number field K such that, for each embedding of K into the complex numbers, the image lies inside the real numbers
Thing general Q2997826
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totally real number field

Summary

totally real number field ranks in the top 2% of general entities by monthly Wikipedia readership (19 views/month).[1]

Key Facts

  • totally real number field's subclass of is recorded as algebraic number field[2].
  • totally real number field's opposite of is recorded as totally imaginary number field[3].
  • totally real number field's Freebase ID is recorded as /m/01tf4w[4].
  • totally real number field's Microsoft Academic ID is recorded as 2779320779[5].

Why It Matters

totally real number field ranks in the top 2% of general entities by monthly Wikipedia readership (19 views/month).[1] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[6]

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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [6] ↑ . 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). totally real number field. Retrieved April 11, 2026, from https://4ort.xyz/entity/totally-real-number-field
MLA “totally real number field.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/totally-real-number-field.
BibTeX @misc{4ortxyz_totally-real-number-field_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{totally real number field}}, year = {2026}, url = {https://4ort.xyz/entity/totally-real-number-field}, note = {Accessed: 2026-04-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): totally real number field — https://4ort.xyz/entity/totally-real-number-field (retrieved 2026-04-11)

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