complex number

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complex 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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.
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complex number

[′käm‚pleks ′nəm·bər]
(mathematics)
Any number of the form a + bi, where a and b are real numbers, and i 2= -1.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

complex number

any number of the form a + ib, where a and b are real numbers and i = &#221A--1
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

complex number

(mathematics)
A number of the form x+iy where i is the square root of -1, and x and y are real numbers, known as the "real" and "imaginary" part. Complex numbers can be plotted as points on a two-dimensional plane, known as an Argand diagram, where x and y are the Cartesian coordinates.

An alternative, polar notation, expresses a complex number as (r e^it) where e is the base of natural logarithms, and r and t are real numbers, known as the magnitude and phase. The two forms are related:

r e^it = r cos(t) + i r sin(t) = x + i y where x = r cos(t) y = r sin(t)

All solutions of any polynomial equation can be expressed as complex numbers. This is the so-called Fundamental Theorem of Algebra, first proved by Cauchy.

Complex numbers are useful in many fields of physics, such as electromagnetism because they are a useful way of representing a magnitude and phase as a single quantity.
This article is provided by FOLDOC - Free Online Dictionary of Computing (foldoc.org)
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Because these chapters were delivered as lectures, there are some repetitions that would be necessary if these complex arguments were only heard and not read; for the book, these could have been edited down with little or no loss to our appreciation of Dempsey's layered argument and evidence.
As a general rule, having a complex argument is not good.
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He said: "It's a complex argument which we haven't won with the Government yet.
In taking on this project, Harris quotes amply from existing Burroughs scholarship and puts forth a complex argument that presupposes a knowledge of such seminal critical theorists as Walter Benjamin, Jacques Lacan, Maurice Blanchot, and Guy Debord, among others.
This style is a strength because it allows the framework of his complex argument to stay in the foreground.
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At level five, you're analyzing to extract a fairly complex argument. It's thought that you need to be at level three to succeed in the contemporary labor market.

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