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On the Standard Rounding Rule for Multiplication and Division
並列摘要
A detailed study of the standard rounding rule for multiplication and division is presented including its derivation from a basic assumption. Through Monte-Carlo simulations, it is shown that this rule predicts the minimum number of significant digits needed to preserve precision only 46.4% of the time and leads to a loss in precision 53.5% of the time. An alternate rule is studied and is found to be significantly more accurate than the standard rule and completely safe for data, never leading to a loss in precision. It is suggested that this alternate rule be adopted as the new standard.
並列關鍵字
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延伸閱讀
- Chen, W. D., Lee, W., & Mulliss, C. L. (2004). On Various Kinds of Rounding Rules for Multiplication and Division. Chinese Journal of Physics, 42(4), 335-346. https://www.airitilibrary.com/Article/Detail?DocID=05779073-200408-2012100900011-2012100900011-335-346
- Chen, W. D., Lee, W., & Mulliss, C. L. (2005). On the Rounding Rules for Logarithmic and Exponential Operations. Chinese Journal of Physics, 43(6), 1017-1034. https://www.airitilibrary.com/Article/Detail?DocID=05779073-200512-201210080016-201210080016-1017-1034
- Cohn, H. (1982). INTRODUCTORY REMARKS ON COMPLEX MULTIPLICATION. International Journal of Mathematics and Mathematical Sciences, 1982(), 675-690. https://doi.org/10.1155/S0161171282000623
- HAUKKANEN, P. (2003). SOME CHARACTERIZATIONS OF SPECIALLY MULTIPLICATIVE FUNCTIONS. International Journal of Mathematics and Mathematical Sciences, 2003(), 2335-2344-177. https://doi.org/10.1155/S0161171203301139
- LAOHAKOSOL, V., & PABHAPOTE, N. (2004). COMPLETELY MULTIPLICATIVE FUNCTIONS ARISING FROM SIMPLE OPERATIONS. International Journal of Mathematics and Mathematical Sciences, 2004(), 431-441-030. https://doi.org/10.1155/S0161171204304163