# imaginary number

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Related to imaginary number: pure imaginary number, complex number

## imaginary number:

see numbernumber,
entity describing the magnitude or position of a mathematical object or extensions of these concepts. The Natural Numbers

Cardinal numbers describe the size of a collection of objects; two such collections have the same (cardinal) number of objects if their
.

## Imaginary Number

a number of the form x + iy, where i = x and y are real numbers and y ≠ 0; that is, a complex number that is not real. Imaginary numbers of the form iy are called pure imaginary; sometimes only the latter are referred to as imaginary numbers. The term “imaginary number” appeared after such numbers had already entered general use although their real meaning had not been ascertained.

## imaginary number

[ə′maj·ə‚ner·ē ′nəm·bər]
(mathematics)
A complex number of the form a + bi, with b not equal to zero, where a and b are real numbers, and i = √(-1); some mathematicians require also that a = 0. Also known as imaginary quantity.
References in periodicals archive ?
Moreover, one can develop a parallel discussion to show that imaginary numbers do not exist.
Imaginary time is a mathematical construct, like imaginary numbers, and does not have a physical realisation.
Beginning with a discussion of cultural impacts on mathematics, he presents esoteric but plausible interpretations of imaginary numbers and the quantum wavefunction.
The imaginary numbers are a wonderful flight of God's spirit.
Pappas delivers a new way to enjoy and learn some sublimely abstract notions, such as tessellations, fractals, googols, imaginary numbers, and much more.
An econometrist at the Massachusetts Institute of Technology, he cites papers proposing that prices can be negative or can incorporate so-called imaginary numbers, based on the square root of negative one.

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