# Definition of Complex number. Meaning of Complex number. Synonyms of Complex number

Here you will find one or more explanations in English for the word Complex number. Also in the bottom left of the page several parts of wikipedia pages related to the word Complex number and, of course, Complex number synonyms and on the right images related to the word Complex number.

## Definition of Complex number

Complex number
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.

## Meaning of Complex number from wikipedia

- In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary...
- corresponding point in the complex plane from the origin. This can be computed using the Pythagorean theorem: for any complex number z = x + i y , {\displaystyle...
- In algebra, a split complex number (or hyperbolic number, also perplex number, double number) has two real number components x and y, and is written z...
- consist of various extensions or modifications of the complex number system. In modern mathematics, number systems (sets) are considered important special examples...
- extended complex plane, the complex plane plus a point at infinity. This extended plane represents the extended complex numbers, that is, the complex numbers...
- In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite...
- \varepsilon } comparable to an infinitesimal number. It follows that the multiplicative inverses of dual-complex numbers are given by ( A + B i + C ε j +...
- strongly related: A complex logarithm of a nonzero complex number z, defined to be any complex number w for which ew = z. Such a number w is denoted by log...
- multiplication by a complex number of modulus 1 acts as a rotation. The complex plane is sometimes known as the Argand plane or Gauss plane. In complex analysis...
- In mathematics (particularly in complex analysis), the argument of a complex number z, denoted arg(z), is the angle between the positive real axis and...