imaginary number

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imaginary number

Where it comes from

The adjective imaginary in this context was first used (as French imaginaire) by René Descartes in 1673, La Geometrie, referring to imaginary numbers in the broad sense, as non-real roots of polynomials. Descartes' usage was derogatory, but the concept later gained acceptance through the work of Leonhard Euler and Carl Friedrich Gauss in the 18th century.

noun imaginary numbers

  1. strict sense A number of the form bi, where b is any real number and i denotes the imaginary unit. If a#61;0, then x#61;ib is called an imaginary number. The message here is that we must introduce imaginary numbers in order to be able to solve quadratic equations in general.

    Similar: purely imaginary number

  2. broadly A number of the form a + bi, where a and b are real numbers and b is nonzero.

Translations

Every language

noun number of the form a + bi, with b ≠ 0

中文虛數 /虚数 xūshù
Françaisnombre imaginaire

noun number of the form bi

Españolnúmero imaginario
한국어허수 heosu
日本語虚数 kyosū
中文虛數 /虚数 xūshù, 純虛數 /纯虚数 chúnxūshù
Portuguêsnúmero imaginário, número puramente imaginário
Françaisnombre imaginaire pur
Deutschrein imaginäre Zahl, imaginäre Zahl
Ελληνικάφανταστικός αριθμός fantastikós arithmós
Русскиймни́мое число́ mnímoje čisló
Tiếng Việtsố ảo, số thuần ảo
עבריתמספר מרוכב

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MLA

"imaginary number." Wiktionary, via Micwyn, micwyn.com/word/imaginary%20number. Accessed 6 Nov. 2026.

APA

imaginary number. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/imaginary%20number

Chicago

"imaginary number." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/imaginary%20number.

BibTeX
@misc{imaginary_number_2026,
  title = {imaginary number},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/imaginary%20number},
  urldate = {2026-11-06}
}