Euclidean algorithm

juːˈklɪdiən ˈælɡəˌrɪðəm
Translation Definition
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Translation of Euclidean algorithm from English into Dutch

Noun

1.

number theory

TECH.
method to find greatest common divisor of integers
TECH.
Euclidisch algoritme
  • The Euclidean algorithm is used to find the GCD of 48 and 18.Het Euclidische algoritme wordt gebruikt om de GGD van 48 en 18 te vinden.
2.

history

TECH.
algorithm described in Euclid's Elements
TECH.
Euclidisch algoritme
  • The Euclidean algorithm was first introduced in Euclid's Elements.Het Euclidische algoritme werd voor het eerst geïntroduceerd in Euclides' Elementen.
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Examples of Euclidean algorithm in a sentence

  • The Euclidean algorithm simplifies finding common divisors in complex problems.
  • Students learn the Euclidean algorithm in mathematics class.
  • The Euclidean algorithm is fundamental in number theory.

Translations of "Euclidean algorithm" in Context ordered by category and frequency

Noun
Euclidisch algoritmen.

Steps 4 and 5 can be performed with the extended Euclidean algorithm; see modular arithmetic.

Stappen 2 en 3 kunnen uitgevoerd worden met het uitgebreid Euclidisch algoritme; zie modulair rekenen.

algoritme van Euclides

We can find all of those using the extended Euclidean algorithm.

Al die zaken kunnen we vinden met behulp van het uitgebreide algoritme van Euclides.

Euclidean domains are integral domains in which the Euclidean algorithm can be carried out.

Euclidische domeinen zijn integriteitsdomeinen, waarin de algoritme van Euclides kan worden uitgevoerd.

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Euclidean algorithm: Examples and translations in context

The Euclidean algorithm is based on the principle that the greatest common divisor of two numbers does not change if the larger number is replaced by its difference with the smaller number.

Het algoritme van Euclides is gebaseerd op het principe dat de grootste gemene deler van twee getallen niet verandert als het kleinere getal van het grotere wordt afgetrokken.

The Euclidean algorithm has been generalized further to other mathematical structures, such as knots and multivariate polynomials.

In de 20e eeuw is het algoritme van Euclides verder veralgemeend naar andere wiskundige structuren, zoals knopen en multivariate veeltermen.

UK-based artist Sean Cotterill, aka CO34PT, uses programming languages to make music inspired by avant-techno, hip-hop, footwork, the Euclidean algorithm, nonlinear maps, free culture, (non)repetition and people dancing.

De Britse kunstenaar Sean Cotterill, aka CO34PT, gebruikt programmeertalen om muziek te maken die geïnspireerd is op avant-techno, hiphop, footwork, het algoritme van Euclides, niet-lineaire kaarten, vrije cultuur, (niet-)repetitiviteit en dansende mensen.

How you find such good approximations is explained on the page about the Extended Euclidean Algorithm.

Hoe je zulke goede benaderingen vindt staat uitgelegd op de bladzijde over het uitgebreide algoritme van Euclides.

This greatest common divisor can also be found with the better-known (regular) Euclidean algorithm, which is slightly simpler than the extended Euclidean algorithm that we described before.

Deze grootste gemene deler kan ook gevonden worden met het meer bekende (gewone) "algoritme van Euclides", dat iets simpeler is dan het uitgebreide algoritme dat we eerder gaven.

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