imaginary number

noun

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.

Definitions

  1. 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.
  2. A number of the form a + bi, where a and b are real numbers and b is nonzero.

The neighborhood

Vish — recursive loop

No curated loop yet for imaginary number. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA