| Project/Area Number |
21840046
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Toyo University |
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Principal Investigator |
ISHIMURA Koshiro Toyo University, 総合情報学部, 講師 (50553830)
|
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| Project Period (FY) |
2009 – 2010
|
| Project Status |
Completed (Fiscal Year 2010)
|
| Budget Amount *help |
¥1,885,000 (Direct Cost: ¥1,450,000、Indirect Cost: ¥435,000)
Fiscal Year 2010: ¥676,000 (Direct Cost: ¥520,000、Indirect Cost: ¥156,000)
Fiscal Year 2009: ¥1,209,000 (Direct Cost: ¥930,000、Indirect Cost: ¥279,000)
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| Keywords | 解析学 / 代数学 / 確率論 / エルゴード理論 / 区間交換変換 / Negative slope algorithm / 次元群 / Negative Slope algorithm |
|---|
| Research Abstract |
For the initial condition that the negative slope algorithm does not stop, we show the inductive limit group explicitly and succeed to construct the dimension group of rank three. In the proof, we succeed to show the approximation fractions of the irrational number that iteration does not stop by the negative slope algorithm. This fact implies that we show new approximation fraction of irrational numbers.
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