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Date: 16-9-2020
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Date: 20-4-2020
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Date: 22-11-2020
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If is any number and and are integers, 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) |
(Hilbert and Cohn-Vossen 1999, pp. 40-44).
Hurwitz has shown that for an irrational number
(4) |
there are infinitely rational numbers if , but if , there are some for which this approximation holds for only finitely many .
REFERENCES:
Hilbert, D. and Cohn-Vossen, S. Geometry and the Imagination. New York: Chelsea, p. 41, 1999.
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شراء وقود الطائرات المستدام.. "الدفع" من جيب المسافر
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بالصور: الامين العام للعتبة الحسينية المقدسة يجري جولة ميدانية للوقوف على آخر الاستعدادات الخاصة بمراسيم تبديل راية الإمام الحسين (ع)
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