"Euclidean algorithm" meaning in English

See Euclidean algorithm in All languages combined, or Wiktionary

Noun

Forms: Euclidean algorithms [plural]
Head templates: {{en-noun}} Euclidean algorithm (plural Euclidean algorithms)
  1. (historical) Any of certain algorithms first described in Euclid's Elements. Tags: historical
    Sense id: en-Euclidean_algorithm-en-noun-usPOj9Ur Categories (other): Terms with Czech translations, Terms with Icelandic translations Disambiguation of Terms with Czech translations: 48 52 Disambiguation of Terms with Icelandic translations: 46 54
  2. (arithmetic, number theory) Specifically, a method, based on a division algorithm, for finding the greatest common divisor (gcd) of two given integers; any of certain variations or generalisations of said method. Categories (topical): Arithmetic, Number theory Translations (number theory): Euklidův algoritmus [masculine] (Czech), Eukleideen algoritmi (Finnish), algorithme d’Euclide [masculine] (French), euklidische Algorithmus [masculine] (German), euklideszi algoritmus (Hungarian), reiknirit Evklíðs [neuter] (Icelandic), algoritmo di Euclide [masculine] (Italian), algoritm euclidian [masculine] (Romanian), алгори́тм Евкли́да (algorítm Jevklída) [masculine] (Russian), algoritmo de Euclides [masculine] (Spanish)
    Sense id: en-Euclidean_algorithm-en-noun-N03mPVfp Categories (other): English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Czech translations, Terms with Finnish translations, Terms with French translations, Terms with German translations, Terms with Hungarian translations, Terms with Icelandic translations, Terms with Italian translations, Terms with Romanian translations, Terms with Russian translations, Terms with Spanish translations Disambiguation of English entries with incorrect language header: 31 69 Disambiguation of Entries with translation boxes: 27 73 Disambiguation of Pages with 1 entry: 34 66 Disambiguation of Pages with entries: 31 69 Disambiguation of Terms with Czech translations: 48 52 Disambiguation of Terms with Finnish translations: 42 58 Disambiguation of Terms with French translations: 25 75 Disambiguation of Terms with German translations: 26 74 Disambiguation of Terms with Hungarian translations: 40 60 Disambiguation of Terms with Icelandic translations: 46 54 Disambiguation of Terms with Italian translations: 25 75 Disambiguation of Terms with Romanian translations: 42 58 Disambiguation of Terms with Russian translations: 25 75 Disambiguation of Terms with Spanish translations: 22 78 Topics: arithmetic, mathematics, number-theory, sciences Disambiguation of 'number theory': 0 100
The following are not (yet) sense-disambiguated
Synonyms: Euclid's algorithm

Inflected forms

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          "text": "2003, Ali Akhavi, Brigitte Vallée, Average Bit-Complexity of Euclidean Algorithms, Ugo Montanari, Jose D.P. Rolim, Emo Welzl (editors), Automata, Languages and Programming: 27th International Colloquium, Proceedings, Springer, LNCS 1853, page 373,\nIn this paper, we provide new analyses that characterize the precise average bit-complexity of a class of Euclidean algorithms.\nWe consider here five algorithms that are all classical variations of the Euclidean algorithm and are called Classical (𝒢), By-Excess (ℒ), Centered (𝒦), Subtractive (𝒯) and Binary (ℬ)."
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-10-22 from the enwiktionary dump dated 2024-10-02 using wiktextract (eaa6b66 and a709d4b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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