Ministry of Education, Culture, Sports, Science and Technology:Grants-in-Aid for Scientific Research(若手研究(スタートアップ), 研究活動スタート支援)
Date (from‐to) : 2009 -2010
Author : Koshiro ISHIMURA
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.