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• W1970495400 abstract "Abstract The best k -digit rational approximation for a given irrational number, where the numerator has k digits, is presented. Such an approximation allows better error-free computation in the real-world scenario than that permitted by the k -digit decimal approximation of the irrational number. It is pointed out that such a best k -digit rational approximation, though exponential, has been made possible due to current high-speed computation performed by a digital computer. To appreciate the importance of such an approximation, we have also focused on the rational approximation – not always the best one – of some of the famous irrational numbers such as the π and the exponential function e by the ingenuity of super-mathematicians in several parts of the world during the pre-computer era spanning over centuries." @default.
• W1970495400 created "2016-06-24" @default.
• W1970495400 creator A5055431798 @default.
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• W1970495400 date "2008-06-01" @default.
• W1970495400 modified "2023-09-26" @default.
• W1970495400 title "Best k-digit rational approximation of irrational numbers: Pre-computer versus computer era" @default.
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• W1970495400 doi "https://doi.org/10.1016/j.amc.2007.10.039" @default.
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