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Classical Analysis and ODEs

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Development of Elliptic Functions According to Ramanujan

July 27, 2014July 5, 2015 - by zyymat - Leave a Comment

I’ve just received a book named Development of Elliptic Functions According to Ramanujan by K Venkatachaliengar (deceased) , edited by: ShaunCooper , Shaun Cooper This unique book provides an innovative …

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algebra / expository / math.CA

Majorization inequality and Muirhead’s inequality

June 26, 2012October 6, 2012 - by zyymat - Leave a Comment

                                      定义 定义 1[离散形式] 称 \( p=(p_1,p_2,\dotsc,p_n)\)Majorization(控制) \( q=(q_1,q_2,\dotsc,q_n)\), 记为 \(p \succ …

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math.CA / math.NT

\(\sin p\) is dense in \([-1,1]\)

June 20, 2012September 1, 2012 - by zyymat - Leave a Comment

Let \(\Bbb P\) be the set of all primes, the set \[\{\sin p \mid p\in\Bbb P\} \] is dense  in \([-1,1]\). This problem appeared in artofproblemsolving  on 22 May 2004, and  has been solved in …

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