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A polynomial equation whose variables are only permitted to assume integer values.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, number-theory, sciences
Examples
- 1993, Ross Talent, Alf van der Poorten (translation editors), Vladimir G. Sprindžuk, Classical Diophantine Equations, Springer, Lecture Notes in Mathematics 1559, page viii, Nevertheless, the fundamental idea of Skolem's method, the reduction of algebraic diophantine equations to exponential equations, has shown exceptional vitality in recent episodes of the theory of diophantine equations.
- 2020, Hasan Sankari, Mohammad Abobala, Neutrosophic Linear Diophantine Equations With Two Variables, in Neutrosophic Sets and Systems, Volume 38, University of New Mexico, page 402, The following theorem determines the criteria for the solvability of [a] neutrosophic linear Diophantine equation.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
No etymology was provided for this word.
Across languages
Translations
17 source translations are retained for this English entry.
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Catalan:
equació diofàntica
— polynomial equation of integer variables
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Chinese Cantonese:
丟番圖方程 /丢番图方程
(diu1 faan1 tou4 fong1 cing4)
— polynomial equation of integer variables
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Chinese Mandarin:
丟番圖方程 /丢番图方程
(Diūfāntú fāngchéng)
— polynomial equation of integer variables
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Finnish:
Diofantoksen yhtälö
— polynomial equation of integer variables
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French:
équation diophantienne
— polynomial equation of integer variables
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German:
diophantische Gleichung
— polynomial equation of integer variables
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Hungarian:
diophantoszi egyenlet
— polynomial equation of integer variables
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Italian:
equazione diofantea
— polynomial equation of integer variables
-
Italian:
equazione diofantina
— polynomial equation of integer variables
-
Japanese:
ディオファントス方程式
— polynomial equation of integer variables
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Polish:
równanie diofantyczne
— polynomial equation of integer variables
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Portuguese:
equação diofantina
— polynomial equation of integer variables
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Romanian:
ecuație diofantică
— polynomial equation of integer variables
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Russian:
диафа́нтово уравне́ние
(diafántovo uravnénije)
— polynomial equation of integer variables
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Spanish:
ecuación diofántica
— polynomial equation of integer variables
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Spanish:
ecuación diofantina
— polynomial equation of integer variables
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Swedish:
diofantisk ekvation
— polynomial equation of integer variables
