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De - Pt| English Dictionary: complex number | by the DICT Development Group |
| 3 results for complex number | |
| From WordNet (r) 3.0 (2006) [wn]: | |
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| From Webster's Revised Unabridged Dictionary (1913) [web1913]: | |
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Complex \Com"plex\, a. [L. complexus, p. p. of complecti to entwine around, comprise; com- + plectere to twist, akin to plicare to fold. See {Plait}, n.] 1. Composed of two or more parts; composite; not simple; as, a complex being; a complex idea. Ideas thus made up of several simple ones put together, I call complex; such as beauty, gratitude, a man, an army, the universe. --Locke. 2. Involving many parts; complicated; intricate. When the actual motions of the heavens are calculated in the best possible way, the process is difficult and complex. --Whewell. {Complex fraction}. See {Fraction}. {Complex number} (Math.), in the theory of numbers, an expression of the form a + b[root]-1, when a and b are ordinary integers. Syn: See {Intricate}. | |
| From The Free On-line Dictionary of Computing (15Feb98) [foldoc]: | |
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complex number root of -1, and x and y are {real number}s, 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. (1995-04-10) | |
