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A Method to Reduce the Lehmer Measure in a Multi-Term Machin-Like Formula for π

A Method to Reduce the Lehmer Measure in a Multi-Term Machin-Like Formula for π

作     者:Sanjar M. Abrarov Rehan Siddiqui Rajinder K. Jagpal Brendan M. Quine Sanjar M. Abrarov;Rehan Siddiqui;Rajinder K. Jagpal;Brendan M. Quine

作者机构:Epic College of Technology Mississauga Canada York University Toronto Canada 

出 版 物:《Open Journal of Applied Sciences》 (应用科学(英文))

年 卷 期:2022年第12卷第8期

页      面:1477-1493页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:Constant Pi Machin-Like Formula Lehmer’s Measure 

摘      要:Previously we have proposed a new method of transforming quotients into integer reciprocals in the Machin-like formulas for π. As a further development, here we show how to generate a multi-term Machin-like formula for π with a reduced Lehmer measure. The Mathematica codes validating these results are presented.

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