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Study Results from National Center for Scientific Research (CNRS) Update Understanding of General Mathematics

May 6, 2014

By a News Reporter-Staff News Editor at Journal of Mathematics -- Fresh data on General Mathematics are presented in a new report. According to news reporting originating in Paris, France, by VerticalNews editors, the research stated, "The algorithm that computes the midpoint of an interval with floating-point bounds requires some careful devising to handle all possible inputs correctly. We review several implementations from prominent C/C++ interval arithmetic packages and analyze their potential failure to deliver the expected results."

The news reporters obtained a quote from the research from National Center for Scientific Research (CNRS), "We then show how to amend them to avoid common pitfalls. The results presented are also relevant to noninterval arithmetic computation such as the implementation of bisection methods."

According to the news reporters, the research concluded: "Enough background on IEEE 754 floating-point arithmetic is provided for this article to serve as a practical introduction to the analysis of floating-point computation."

For more information on this research see: How Do You Compute the Midpoint of an Interval? ACM Transactions on Mathematical Software, 2014;40(2):57-81. ACM Transactions on Mathematical Software can be contacted at: Assoc Computing Machinery, 2 Penn Plaza, Ste 701, New York, NY 10121-0701, USA.

Our news correspondents report that additional information may be obtained by contacting F. Goualard, CNRS, LINA, UMR 6241, F-75700 Paris, France.

Keywords for this news article include: Paris, France, Europe, General Mathematics

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Source: Journal of Mathematics

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