释义 |
Rational ApproximationIf 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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