algebraic integer

ˌældʒəˈbreɪɪk ˈɪntɪdʒər
Translation Definition
NEW

Translation of algebraic integer into German

Noun

mathematics

TECH.
number that is a root of a monic polynomial with integer coefficients
TECH.
algebraische ganze Zahl algebraischer Ganzzahl
  • The number 2 is an algebraic integer.Die Zahl 2 ist eine algebraische ganze Zahl.
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Synonyms and analogies of algebraic integer in English

n.whole numberMore synonyms

Examples of algebraic integer in a sentence

  • Algebraic integers have unique properties in mathematics.

algebraic integer: Examples and translations in context

Digit expansions are not only based on rational integer bases, but also algebraic integer bases, which correspond to efficiently calculable endomorphisms of the curve (such as the Frobenius endomorphism).

Als Basen der Ziffernentwicklungen treten neben ganzrationalen Basen auch algebraisch ganze Basen auf, die effizient berechenbaren Endomorphismen der Kurve (etwa dem Frobenius-Endomorphismus) entsprechen.

The structure of the modules which were finitely generated about rings of algebraic integers was fully explained.

Die Struktur der endlich erzeugten Moduln über Ringen ganzer algebraischer Zahlen wird vollständig geklärt.

In 1874 he submitted this doctoral dissertation on algebraic integers and was awarded the degree.

In 1874 legte er diese Dissertation in algebraische Ganzzahlen und erhielt den Grad.

Lejeune Dirichlet's lectures on number theory were edited and extended by Richard Dedekind, who used Euclid's algorithm to study algebraic integers, a new general type of number.

Dirichlets Vorlesungen über Zahlentheorie wurden von Richard Dedekind herausgegeben und erweitert, der den euklidischen Algorithmus für das Studium algebraischer Zahlen nutzte, einer neuen allgemeineren Zahlenart.

Since the eigenvalues of a matrix are the roots of the polynomial, the eigenvalues of an integer matrix are algebraic integers.

Die Eigenwerte einer reellen Permutationsmatrix sind nicht notwendigerweise alle reell, sie liegen aber auf dem komplexen Einheitskreis.

Introduction to Theory of Algebraic Integers by Richard Dedekind.

In diese Zeit fällt auch die wichtige Arbeit „Theorie der algebraischen Functionen einer Veränderlichen" mit Richard Dedekind.

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