imaginary unit

square root of negative one, used to define complex numbers
Thing mathematical_constant Q193796
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imaginary unit

Summary

imaginary unit is a mathematical constant[1]. It ranks in the top 6% of mathematical_constant entities by monthly Wikipedia readership (779 views/month).[2]

Key Facts

  • imaginary unit's instance of is recorded as mathematical constant[3].
  • imaginary unit's instance of is recorded as imaginary number[4].
  • imaginary unit's instance of is recorded as Gaussian integer[5].
  • imaginary unit's instance of is recorded as complex unit[6].
  • imaginary unit's opposite of is recorded as −i[7].
  • imaginary unit's Freebase ID is recorded as /m/0dryh[8].
  • imaginary unit's numeric value is recorded as {'unit': 'Q193796', 'amount': '+1'}[9].
  • imaginary unit's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[10].
  • imaginary unit's different from is recorded as complex unit[11].
  • imaginary unit's defining formula is recorded as \mathrm{i}^2 = -1[12].
  • imaginary unit's MathWorld ID is recorded as ImaginaryUnit[13].
  • imaginary unit's Quora topic ID is recorded as Imaginary-Unit[14].
  • imaginary unit's nLab ID is recorded as imaginary unit[15].
  • imaginary unit's OpenMath ID is recorded as nums1#i[16].
  • imaginary unit's maintained by WikiProject is recorded as WikiProject Mathematics[17].
  • imaginary unit's Fandom article ID is recorded as math:Imaginary_unit[18].
  • imaginary unit's Microsoft Academic ID is recorded as 169517969[19].
  • imaginary unit's Brilliant Wiki ID is recorded as imaginary-unit[20].
  • imaginary unit's ProofWiki ID is recorded as Definition:Complex_Number/Imaginary_Unit[21].
  • imaginary unit's NicoNicoPedia ID is recorded as 虚数単位[22].
  • imaginary unit's in defining formula is recorded as ^2[23].
  • imaginary unit's in defining formula is recorded as \mathrm{i}[24].
  • imaginary unit's IEV number is recorded as 102-02-10[25].
  • imaginary unit's mathematical inverse is recorded as −i[26].
  • imaginary unit's mathematical inverse is recorded as −i[27].

Why It Matters

imaginary unit ranks in the top 6% of mathematical_constant entities by monthly Wikipedia readership (779 views/month).[2] It has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[28] It is known by 52 alternative names across languages and contexts.[29]

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] . Freebase Data Dumps. wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . ISO 80000-2:2019 Quantities and units — Part 2: Mathematics. wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . Quora. wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] . Wikidata sitelinks. wikidata.org.
  3. [29] . 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). imaginary unit. Retrieved May 3, 2026, from https://4ort.xyz/entity/imaginary-unit
MLA “imaginary unit.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/imaginary-unit.
BibTeX @misc{4ortxyz_imaginary-unit_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{imaginary unit}}, year = {2026}, url = {https://4ort.xyz/entity/imaginary-unit}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): imaginary unit — https://4ort.xyz/entity/imaginary-unit (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/imaginary-unit · Last refreshed:

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. 15d ago · Charp238 · 2026-05-05 view diff on Wikidata ↗
    Mathematical inverse −i, −i
    Described by source ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
    Namuwiki id 허수단위
    Different from complex unit
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P8885]]: 허수단위"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.