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单词 Rational Approximation
释义

Rational Approximation

If is any number and is any Integer, then there is a Rational Number for which

(1)

If is Irrational and is any Whole Number, there is a Fraction with and for which
(2)

Furthermore, there are an infinite number of Fractions for which
(3)

Hurwitz has shown that for an Irrational Number
(4)

there are infinitely Rational Numbers if , but if , thereare some for which this approximation holds for only finitely many .
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更新时间:2025/2/22 16:29:12