# 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
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.

## 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 ?
If another axis is added, a vertical (imaginary) axis at x = 0, this will represent the imaginary numbers.
Mathematician: When someone is really good at math or science, I send an imaginary number to go and bring them here.
If concrete imaginary numbers are physically real, do they measure anything?
In the year 1673, Wallis, while writing in defence of imaginary numbers, began: "These Imaginary Quantities (as they are commonly called) arising from the Supposed Root of a Negative Square .
Al Hilani said that "the comeback was not based on setting high and imaginary numbers "money wise" which is what many accused him of, yet it came because there is great love and respect between him and Rotana.
Another inviting avenue of exploration (well, not that inviting) would be pondering the curiosities of imaginary time, in analogy to the imaginary numbers of mathematics (which figured prominently in Minkowski's work).
Imaginary numbers may be followed by either i or j; however, Mathcad normally displays them followed by i where i equals the square root of negative 1.
The book provides refreshers on vectors, matrix algebra, and imaginary numbers, but assumes no previous knowledge of quaternions.
Mathematical achievements such as concepts of irrational numbers, imaginary numbers, the infinitesimal, the fourth dimension, periodic space, and more are explored in terms accessible to lay readers, and their intersection with art, literature, philosophy, and physics among other disciplines is laid bare.
The still greater challenge that Mazur attempts is to provide the reader a glimpse into the minds of early mathematicians as they struggled to understand and come to grips with the existence of seemingly improbable, imaginary numbers.
Her fits of paranoia are interspersed with visits to a bingo parlor where she plays imaginary numbers on a card.
Added to the real numbers and the imaginary numbers, they form the undefinable number system.

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