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Algebraic integer
Algebraic integer In mathematics, an algebraic integer is an algebraic number that is a root of ...
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Talk:Algebraic integer
Talk:Algebraic integer The definition of algebraic integer as defined in the article does not ... desirable properties of integers, i.e. that: Algebraic integers defined for arbitrarily large degrees ...
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Integer
Integer The integers consist of the positive natural ... Zahlen (German for "numbers"). The term rational integer is used, in algebraic number theory, to distinguish these 'ordinary' integers ... other concepts such as the Gaussian integers. Algebraic properties Like the natural numbers, Z is ... product of any two integers is an integer. However, with the inclusion of the ...
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Algebraic number
Algebraic number In mathematics, an algebraic number relative to a field |
Eisenstein integer
Eisenstein integer Eisenstein integers as intersection points of a ... Eisenstein integers form a commutative ring of algebraic integers in the algebraic number field Q(√−3). They also form ... To see that the Eisenstein integers are algebraic integers note that each z = a + bω ... divides y if there is some Eisenstein integer z such that y = z x. ...
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Algebraic equation (translated from Japanese)
Algebraic equation Mathematics Putting,Algebraic equationThe one て which (is and to be inhales it is, system,Algebraic equation) With (generally multi variables) Polynomial It ... is thing. If you rephrase, as for algebraic equation the polynomialZeroIt is the equation which ... Cdots x_m^ {e_m} = 0.< /Math> As for algebraic equation ディオファントス problem and the like ...
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Integer factorization
Integer factorization In number theory, the integer factorization problem is the problem of finding ... bear on the problem, including elliptic curves, algebraic number theory, and quantum computing. Not all ... the fundamental theorem of arithmetic, every positive integer has a unique prime factorization. Given an algorithm for integer factorization, one can factor any integer ...
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Algebraic structure
Algebraic structure In higher mathematics, "algebraic structure" is a loosely-defined phrase referring ... example, the monster group simultaneously is an algebraic structure, and it has an algebraic structure: the structure shared by all groups ... universal algebra In universal algebra, one studies algebraic structures consisting of a set and ...
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Algebraic closure
Algebraic closure In mathematics, particularly abstract algebra, an algebraic closure of a field K is an algebraic extension of K that is algebraically closed ... be shown that every field has an algebraic closure, and that the algebraic closure of a field K is ...
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Algebraic number (translated from Portuguese)
Algebraic number This article meets partially in foreign language. In matemática , one algebraic number it is any number Real or ... different of zero. All números rationals is algebraic because any fracção of the type /b ... the cubical root of 3) are also algebraic because they are the solutions of x ... respecivamente. But nor all the Reals are algebraic - how example is mentioned? e e. ...
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