Imaginary number
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English
Etymology
The adjective imaginary in this context was first used (as French Template:M) by Template:W in 1673, La Geometrie, referring to imaginary numbers in the broad sense, as non-real roots of polynomials.[1] Descartes' usage was derogatory, but the concept later gained acceptance through the work of Template:W and Template:W in the 18th century.
Pronunciation
Noun
- Template:Lb A number of the form bi, where b is any real number and i denotes the imaginary unit.
- Template:Lb 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 Template:M (or Template:M) may be used for an imaginary number in the strict sense.
Synonyms
Hypernyms
Hyponyms
Translations
- Armenian: Template:T
- Bengali: Template:T
- Burmese: Template:T-needed
- Catalan: Template:T
- Chinese:
- Cantonese: Template:T
- Mandarin: Template:T+, Template:T+
- Czech: Template:T
- Danish: Template:T
- Dutch: Template:T
- Esperanto: Template:T
- Finnish: Template:T+, Template:T
- French: Template:T+
- Georgian: Template:T
- German: Template:T, Template:T Template:Qualifier
- Greek: Template:T+
- Hebrew: Template:T+
- Hungarian: Template:T+, Template:T
- Icelandic: Template:T
- Japanese: Template:T+
- Kazakh: Template:T
- Khmer: Template:T+
- Korean: Template:T+
- Latin: Template:T, Template:T
- Latvian: Template:T
- Malayalam: Template:T
- Maori: Template:T
- Persian: Template:T
- Polish: Template:T+
- Portuguese: Template:T, Template:T
- Russian: Template:T
- Serbo-Croatian: Template:T
- Spanish: Template:T+
- Swedish: Template:T+
- Tagalog: Template:T
- Thai: Template:T
- Turkish: Template:T+
- Ukrainian: Template:T
- Vietnamese: Template:T+, Template:T
- Chinese:
- Mandarin: Template:T+
- Finnish: Template:T+, Template:T
- French: Template:T+