2012 Fiscal Year Final Research Report
Nonlinear approximationtheoretic methods of numerical table data compression
| Project/Area Number |
22540151
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Tokyo University of Science |
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Principal Investigator |
AKASHI Shigeo 東京理科大学, 理工学部情報科学科, 教授 (30202518)
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| Project Period (FY) |
2010 – 2012
|
| Keywords | 情報数理 |
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| Research Abstract |
The main research results obtained in the research period which began in 2010 and ended in 2012 are the following:
(1). A version of Hilbert’s 13thproblem for infinitely differentiable functions, which remained to be open, has been solved constructively.
(2). Embedding of Collatz mapping into a certain one-dimensional compact dynamical system has enabled us to apply the theory of topological dynamics to its famous conjecture
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