Definition of Complex integer. Meaning of Complex integer. Synonyms of Complex integer

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

Definition of Complex integer

Complex integer
Integer In"te*ger, n. [L. integer untouched, whole, entire. See Entire.] A complete entity; a whole number, in contradistinction to a fraction or a mixed number. Complex integer (Theory of Numbers), an expression of the form a + b[root]-1, where a and b are real integers.

Meaning of Complex integer from wikipedia

- number theory, a Gaussian integer is a complex number whose real and imaginary parts are both integers. The Gaussian integers, with ordinary addition and...
- theory, an algebraic integer is a complex number that is integral over the integers. That is, an algebraic integer is a complex root of some monic polynomial...
- Eisenstein integers (named after Gotthold Eisenstein), occasionally also known as Eulerian integers (after Leonhard Euler), are the complex numbers of...
- the cyclic group of addition modulo n can be obtained from the group of integers under addition by identifying elements that differ by a multiple of n{\displaystyle...
- An integer is the number zero (0), a positive natural number (1, 2, 3, etc.) or a negative integer (−1, −2, −3, etc.). The negative numbers are the additive...
- numbers of the form a + bi ] "complex integer numbers", so that real [numbers] are regarded not as the opposite of complex [numbers] but [as] a type [of...
- quadratic integers was first given by Richard Dedekind in 1871. A quadratic integer is an algebraic integer of degree two. More explicitly, it is a complex number...
- subset of the complex numbers. If the real and imaginary parts of a complex number are both integers, then the number is called a Gaussian integer. The symbol...
- functions, first edition published 2001. Part 3: Complex integer and floating point arithmetic and complex elementary numerical functions, first edition...
- functions and the complex exponential function. One can derive de Moivre's formula using Euler's formula and the exponential law for integer powers (eix)n=einx...