imaginary number

Etymology
The adjective imaginary in this context was first used (as French ) by 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 and  in the 18th century.

Noun

 * 1)  A number of the form bi, where b is any real number and i denotes the imaginary unit.
 * 2)  A number of the form a + bi, where a and b are real numbers and b is nonzero.
 * 1)  A number of the form a + bi, where a and b are real numbers and b is nonzero.

Usage notes

 * The term is often used without rigorous definition, and at times inconsistently.
 * Zero is considered both a real number and an imaginary number.
 * When the broad sense is used, the term (or ) may be used for an imaginary number in the strict sense.

Translations

 * Armenian: կեղծ թիվ
 * Bengali: অবাস্তব সংখ্যা
 * Burmese:
 * Catalan: nombre imaginari
 * Chinese:
 * Cantonese: 虛數
 * Mandarin: ,
 * Czech: imaginární číslo
 * Danish: imaginært tal
 * Dutch: imaginair getal
 * Esperanto: imaginara nombro
 * Finnish:, imaginääriluku
 * French: nombre imaginaire pur
 * Georgian: წარმოსახვითი რიცხვი
 * German: rein imaginäre Zahl, imaginäre Zahl
 * Greek: (fantastikós arithmós)
 * Hebrew:
 * Hungarian:, imaginárius szám
 * Icelandic: þvertala
 * Japanese:
 * Kazakh: жорамал сан
 * Khmer:
 * Korean:
 * Latin: quantitas imaginaria, numerus imaginarius
 * Latvian: imaginārs skaitlis
 * Malayalam: അവാസ്തവികസംഖ്യ
 * Maori: tau pohewa
 * Persian: عدد موهومی
 * Polish:
 * Portuguese: número imaginário, número puramente imaginário
 * Russian: мни́мое число́
 * Serbo-Croatian: imaginarni broj
 * Spanish:
 * Swedish:
 * Tagalog: gunimbilang
 * Thai: จำนวนจินตภาพ
 * Turkish:
 * Ukrainian: уя́вне число́
 * Vietnamese:, số thuần ảo


 * Chinese:
 * Mandarin:
 * Finnish:, imaginääriluku
 * French: