Here you will find one or more explanations in English for the word **Complex number**.
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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.

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.

- 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...

- 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...

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