imaginary part

function from the complex numbers to the reals that maps a+bi to b, where a and b are real
Thing real_valued_function Q1341545
Press Enter · cited answer in seconds

imaginary part

Summary

imaginary part is a real-valued function[1]. It draws 10 Wikipedia views per month (real_valued_function category, ranking #1 of 1).[2]

Key Facts

  • imaginary part's instance of is recorded as real-valued function[3].
  • imaginary part's instance of is recorded as continuous function[4].
  • imaginary part's instance of is recorded as projection[5].
  • imaginary part's instance of is recorded as function of a complex variable[6].
  • imaginary part's opposite of is recorded as real part[7].
  • imaginary part's Unicode character is recorded as ℑ[8].
  • imaginary part's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[9].
  • imaginary part's definition domain is recorded as set of complex numbers[10].
  • imaginary part's short name is recorded as {'lang': 'mul', 'text': 'Im'}[11].
  • imaginary part's short name is recorded as {'lang': 'mul', 'text': 'ℑ'}[12].
  • imaginary part's different from is recorded as imaginary number[13].
  • imaginary part's image of function is recorded as set of real numbers[14].
  • imaginary part's defining formula is recorded as y = \operatorname{Im}(x + \mathrm{i} y)[15].
  • imaginary part's Google Knowledge Graph ID is recorded as /g/122vl331[16].
  • imaginary part's MathWorld ID is recorded as ImaginaryPart[17].
  • imaginary part's Elhuyar ZTH ID is recorded as 133681[18].
  • imaginary part's Interlingual Index ID is recorded as i109014[19].
  • imaginary part's maintained by WikiProject is recorded as WikiProject Mathematics[20].
  • imaginary part's ProofWiki ID is recorded as Definition:Complex_Number/Imaginary_Part[21].
  • imaginary part's in defining formula is recorded as \operatorname{Im}(z)[22].
  • imaginary part's in defining formula is recorded as x[23].
  • imaginary part's in defining formula is recorded as y[24].
  • imaginary part's in defining formula is recorded as \mathrm{i}[25].
  • imaginary part's IEV number is recorded as 102-02-12[26].
  • imaginary part's Treccani's Enciclopedia della Matematica ID is recorded as numero-complesso-parte-immaginaria-di-un[27].

Why It Matters

imaginary part draws 10 Wikipedia views per month (real_valued_function category, ranking #1 of 1).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[28] It is known by 13 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] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . ISO 80000-2:2009 Quantities and units—Part 2: Mathematical signs and symbols to be used in the natural sciences and technology. wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . 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 part. Retrieved May 3, 2026, from https://4ort.xyz/entity/imaginary-part
MLA “imaginary part.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/imaginary-part.
BibTeX @misc{4ortxyz_imaginary-part_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{imaginary part}}, year = {2026}, url = {https://4ort.xyz/entity/imaginary-part}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): imaginary part — https://4ort.xyz/entity/imaginary-part (retrieved 2026-05-03)

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