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complex number
Author: Marian Olejar, Jr. Created: Jul/10/2006 Last edit: Jul/10/2006
Cite this article as:
Marian Olejar, Jr.: complex number from VeryPrime's Dictionary of mathematics
Link to this page: http://www.veryprime.com/dict/complex_number.php
Author: Marian Olejar, Jr. Created: Jul/10/2006 Last edit: Jul/10/2006
complex analysis:
The complex number z = a+ib (a, b are real numbers) is defined as the point (a, b) or [a, b] in the plane, where a is called the real part of complex number z and b is called imaginary part of complex number z.
|z| is modulus of complex number.
By the polar decomposition theorem z = a + ib = `r(cos(theta) + i*sin(theta))`, where r = |z| `>=` 0 and `0 <= theta < 2pi`.
The complex numbers form a set of complex numbers `CC`.
The complex number z = a+ib (a, b are real numbers) is defined as the point (a, b) or [a, b] in the plane, where a is called the real part of complex number z and b is called imaginary part of complex number z.
|z| is modulus of complex number.
By the polar decomposition theorem z = a + ib = `r(cos(theta) + i*sin(theta))`, where r = |z| `>=` 0 and `0 <= theta < 2pi`.
The complex numbers form a set of complex numbers `CC`.
Cite this article as:
Marian Olejar, Jr.: complex number from VeryPrime's Dictionary of mathematics
Link to this page: http://www.veryprime.com/dict/complex_number.php