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The Studies About Limit Behavior Of Trigonometric Sequences{sinnx},{cosnx} And Some Related Problems

Posted on:2016-08-09Degree:MasterType:Thesis
Country:ChinaCandidate:R L T Y G e r e l t u y a GeFull Text:PDF
GTID:2180330461482262Subject:Mathematics
Abstract/Summary:PDF Full Text Request
The convergence and disconvergence of the trigonometric sequences {sinnx}, {cosnx} are discussed and the set of their limit points are obtained. There after the discussion of the problem in extended. The sets of limit points of two dimensional trigonometric sequence {{nω1, nω2)} and {{sinnω1, sinnω2)} are obtained with the use of the theory of differential equation on two dimensional torus. At last a application to physics in expounded.
Keywords/Search Tags:Trigonometric sequences, set of limit points, dense, two dimensional torus
PDF Full Text Request
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