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Titlebook: Vladimir I. Arnold - Collected Works; Representations of F Vladimir I. Arnold,Alexander B. Givental,Boris A. Book 2009 Springer-Verlag Ber

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31#
發(fā)表于 2025-3-27 00:41:00 | 只看該作者
32#
發(fā)表于 2025-3-27 03:34:24 | 只看該作者
33#
發(fā)表于 2025-3-27 07:36:52 | 只看該作者
Some questions of approximation and representation of functions,1. Statement of the problem. Let . and . be functions of two variables. Then .is a function of the three variables ., . and .. This is an example of a superposition constituted of the functions . and ..
34#
發(fā)表于 2025-3-27 11:18:53 | 只看該作者
Kolmogorov seminar on selected questions of analysis,The seminar was concerned with two groups of questions. ... in analysis and mechanics, that is, problems whose solutions are everywhere discontinuously dependent on the parameter, in the main, ‘problems with a small denominator’.
35#
發(fā)表于 2025-3-27 17:11:01 | 只看該作者
On analytic maps of the circle onto itself,After the appearance of the papers by Siegel [1], [2] and Kolmogorov [3], [4] problems with small denominators lost their unapproachability.
36#
發(fā)表于 2025-3-27 18:10:10 | 只看該作者
Generation of almost periodic motion from a family of periodic motions,1. The motion of a point ., . on a torus . is called almost periodic if.where . is an irrational constant, and . and . are coordinates on the torus, such that (. + ., . + .) and (., .) are the same point .. Let us consider the family of neighboring differential equations.where . and . are parameters and .(., .) is an analytic function.
37#
發(fā)表于 2025-3-28 00:54:23 | 只看該作者
,A test for nomographic representability using Decartes’ rectilinear abacus,Прямолинейным абаком Декарта называют [1] три однопараметрических семейства прямых на плоскости (., .).где ., ., . - параметры семейств (1)-(3).
38#
發(fā)表于 2025-3-28 03:28:55 | 只看該作者
39#
發(fā)表于 2025-3-28 09:30:29 | 只看該作者
40#
發(fā)表于 2025-3-28 14:26:44 | 只看該作者
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