Diophantine approximation
In number theory, the field of Diophantine approximation, named after Diophantus of Alexandria, deals with the approximation of real numbers by rational numbers. The first problem was to know how well a real number can be approximated by rational numbers. For this problem, a rational number a/b is a "good" approximation of a real number α if the absolute value of the difference between a/b and α may not decrease if a/b is replaced by another rational number with a smaller denominator. This problem was solved during the 18th century by means of continued fractions.
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Diophantine approximation
In number theory, the field of Diophantine approximation, named after Diophantus of Alexandria, deals with the approximation of real numbers by rational numbers. The first problem was to know how well a real number can be approximated by rational numbers. For this problem, a rational number a/b is a "good" approximation of a real number α if the absolute value of the difference between a/b and α may not decrease if a/b is replaced by another rational number with a smaller denominator. This problem was solved during the 18th century by means of continued fractions.
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Aproksymacja diofantyczna – dz ...... najbliższej liczby całkowitej:
@pl
Die mathematische Disziplin de ...... der Satz von Thue-Siegel-Roth.
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En teoría de números, las apro ...... se aproximan a un número real.
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En théorie des nombres, l'appr ...... l'irrationalité de π et de e.
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In de getaltheorie, een deelge ...... stelling van Thue-Siegel-Roth.
@nl
In number theory, the field of ...... tudy of Diophantine equations.
@en
L'approssimazione diofantea è ...... nito di razionali p/q tali che
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Na teoria dos números, a aprox ...... ela desvantagem de aplicações.
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ディオファントス近似(ディオファントスきんじ、英: Diop ...... の整数解は 2 の平方根のディオファントス近似に帰着する。
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丢番图逼近又名丢番图分析,是数论的一个分支。最经典的丢番图逼 ...... 面。甚至连p进数域(参见p进数)上的丢番图逼近也有颇多研究。
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Diophantine approximations
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Aproksymacja diofantyczna – dz ...... zie jest odległością od liczby
@pl
Die mathematische Disziplin de ...... der Satz von Thue-Siegel-Roth.
@de
En teoría de números, las apro ...... njunto de los números reales).
@es
En théorie des nombres, l'appr ...... précision de l'approximation.
@fr
In de getaltheorie, een deelge ...... "kwaliteit" van de benadering.
@nl
In number theory, the field of ...... means of continued fractions.
@en
L'approssimazione diofantea è ...... nze più precise (ovvero dove .
@it
Na teoria dos números, a aprox ...... ção do tamanho do denominador.
@pt
ディオファントス近似(ディオファントスきんじ、英: Diop ...... や e が超越数であることの証明が類似の方法により得られた。
@ja
丢番图逼近又名丢番图分析,是数论的一个分支。最经典的丢番图逼 ...... 面。甚至连p进数域(参见p进数)上的丢番图逼近也有颇多研究。
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label
Approssimazione diofantea
@it
Approximation diophantienne
@fr
Aproksymacja diofantyczna
@pl
Aproximación diofántica
@es
Aproximação diofantina
@pt
Diofantische benadering
@nl
Diophantine approximation
@en
Diophantische Approximation
@de
ディオファントス近似
@ja
丟番圖逼近
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