CT951 发表于 2025-3-21 17:42:07

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CBC471 发表于 2025-3-21 22:33:46

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观察 发表于 2025-3-22 04:08:42

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Mangle 发表于 2025-3-22 06:13:29

https://doi.org/10.1007/978-3-642-79972-3rked out. Even simple questions about the way in which the number . + π is put together are unsolved up to now. Therefore the construction of real numbers from natural numbers is no simple problem. The theory of diophantine approximation seeks to understand how well, that is how closely, real numbers can be trapped by relations with the integers.

圆桶 发表于 2025-3-22 12:07:49

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和平主义者 发表于 2025-3-22 13:34:24

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和平主义者 发表于 2025-3-22 20:04:54

The Kronecker Approximation Theorem,ℤ. From the . point of view it involves rolling up the real line onto a circle of circumference 1, where the cle replaces the unit interval [0,1[. . open sets on the circle are identified as open sets on [0,1[, i.e. neighbourhoods in [0,1[ are defined by the quotient topology in ℝ/ℤ. Considered in this way Dirichlet’s theorem states

Pseudoephedrine 发表于 2025-3-22 23:27:31

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dithiolethione 发表于 2025-3-23 02:24:19

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FEIGN 发表于 2025-3-23 05:34:53

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查看完整版本: Titlebook: Geometric and Analytic Number Theory; Edmund Hlawka,Rudolf Taschner,Johannes Schoißengei Textbook 1991 Springer-Verlag Berlin Heidelberg 1