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- W2547436707 abstract "In this paper, we briefly introduce the foundation of nonstandard analysis and its applications to other fields of mathematics, especially to combinatorial number theory. The foundation part includes the basic knowledge of mathematical logic, the construction of nonstandard structures, and some principles and properties commonly used in nonstandard analysis. The application part includes theorems on the existence of strong solutions for some stochastic differential equations, solution to the Hilberts fifth problem for local groups, exact law of large numbers and its applications to mathematical economics, and sumset phenomenon, Plunnecke type inequalities for densities, and Freimans inverse problems in combinatorial number theory." @default.
- W2547436707 created "2016-11-11" @default.
- W2547436707 creator A5023033205 @default.
- W2547436707 date "2016-04-01" @default.
- W2547436707 modified "2023-09-27" @default.
- W2547436707 title "Nonstandard analysis and its applications" @default.
- W2547436707 doi "https://doi.org/10.1360/n012015-00266" @default.
- W2547436707 hasPublicationYear "2016" @default.
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