Exponential sums

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  • Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Department of Mathematic dành cho các bạn yêu thích môn toán học đề tài: Linear recurrences and asymptotic behavior of exponential sums of symmetric boolean functions...

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  • This lively, problem-oriented text is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy–Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered — either by one of history’s famous mathematicians or by the reader.

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  • This lively, problem-oriented text is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy–Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered — either by one of history’s famous mathematicians or by the reader.

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  • The Institute for Mathematical Sciences at the National University of Singapore was established on 1 July 2000 with funding from the Ministry of Education and the University. Its mission is to provide an international center of excellence in mathematical research and, in particular, to promote within Singapore and the region active research in the mathematical sciences and their applications. It seeks to serve as a focal point for scientists of diverse backgrounds to interact and collaborate in research through tutorials, workshops, seminars and informal discussions....

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  • By means of the Hardy-Littlewood method, we apply a new mean value theorem for exponential sums to confirm the truth, over the rational numbers, of the Hasse principle for pairs of diagonal cubic forms in thirteen or more variables. 1. Introduction Early work of Lewis [14] and Birch [3], [4], now almost a half-century old, shows that pairs of quite general homogeneous cubic equations possess non-trivial integral solutions whenever the dimension of the corresponding intersection is suitably large (modern refinements have reduced this permissible affine dimension to 826; see [13]). ...

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Clustering Time Series Gene Expression Data Based on Sum-of-Exponentials Fitting

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  • An economy’s trade patterns create one channel for the cross-border transmission of shocks. While the average economy in our data had a current account very close to zero in 2007, the range is quite large. Trade openness, measured by the ratio of the sum of exports plus imports to GDP, captures the importance of trade. The average in our data is 98% of GDP, but the standard deviation of 66 percentage points implies a wide distribution. Finally, a country’s natural endowment may play a role in its macroeconomic performance.

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  • 14 Exponential functions, continuous growth and differential equations Use the exponential function and natural logarithms to derive the final sum, initial sum and growth rate when continuous growth takes place. Compare and contrast continuous and discrete growth rates.

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