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Titlebook: Diophantine Approximation; Wolfgang M. Schmidt Book 1980 Springer-Verlag Berlin Heidelberg 1980 Diophantine approximation.Diophantische Ap

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樓主: Callow
21#
發(fā)表于 2025-3-25 05:08:05 | 只看該作者
978-3-540-09762-4Springer-Verlag Berlin Heidelberg 1980
22#
發(fā)表于 2025-3-25 11:33:24 | 只看該作者
23#
發(fā)表于 2025-3-25 12:18:26 | 只看該作者
0075-8434 Overview: 978-3-540-09762-4978-3-540-38645-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
24#
發(fā)表于 2025-3-25 17:38:12 | 只看該作者
https://doi.org/10.1007/978-981-10-6493-7.). Next, White picks a compact interval W. ? B. of length ?(W.) = α?(B.). Then Black picks a compact interval B. ? W. of length ?(B.) = β?(W.), etc. In this way, a nested sequence of compact intervals . is generated, with lengths . It is clear that . consists of a single point.
25#
發(fā)表于 2025-3-25 21:31:26 | 只看該作者
https://doi.org/10.1007/978-981-10-6493-7me of K. (By the volume of K we mean the Riemann integral of the characteristic function of K. It can be proved that every convex body has a volume in this sense. Alternatively, the existence of the volume of K may be added as a hypothesis.)
26#
發(fā)表于 2025-3-26 03:15:16 | 只看該作者
Simultaneous Approximation to Algebraic Numbers,roximable, so that . where q.,...,q., p are rational integers and where q = max(|q.|,...,|q.|) ≠ 0. Taking q. = ... = q. = 0, we have .. . 1,..,...,... ?, . d. ... q.,...,q., p . q = max(|q.|,..., |q.|) > 0.
27#
發(fā)表于 2025-3-26 06:06:41 | 只看該作者
Norm Form Equations,n element . of K under ?. by ?.. We will always tacitly assume that ?., is the identity map, so that .. = ., and we shall say that .. = ., ..,..... are the conjugates of .. In this notation ?(.) = ........ Given a linear form . with coefficients in K we write
28#
發(fā)表于 2025-3-26 10:34:18 | 只看該作者
29#
發(fā)表于 2025-3-26 15:34:41 | 只看該作者
Complex Landscapes of Spatial Interactionn element . of K under ?. by ?.. We will always tacitly assume that ?., is the identity map, so that .. = ., and we shall say that .. = ., ..,..... are the conjugates of .. In this notation ?(.) = ........ Given a linear form . with coefficients in K we write
30#
發(fā)表于 2025-3-26 20:22:54 | 只看該作者
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