imaginary number
Word Rarity
Rare
Frequency: Zipf frequency 3.78 in modern English
25
Scrabble Score
15
Letters
4
Syllables
10
Unique Chars
Meaning
noun
A number of the form bi, where b is any real number and i denotes the imaginary unit.
noun
A number of the form a + bi, where a and b are real numbers and b is nonzero.
Example Sentences
- "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."
Etymology
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.