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By G. Alefeld, J. Rohn, S. M. Rump, T. Yamamoto (auth.), Univ. –Prof. Dr. Götz Alefeld, Prof. Dr. Jiří Rohn, Prof. Dr. Siegfried Ru

The standard "implementation” of actual numbers as floating aspect numbers on present pcs has the well known drawback that almost all of the genuine numbers should not precisely representable in floating aspect. additionally the 4 simple mathematics operations can frequently now not be played precisely. over the last years examine in numerous parts has been intensified to be able to conquer those difficulties. (LEDA-Library by means of ok. Mehlhorn et al., "Exact mathematics with genuine numbers” by means of A. Edalat et al., Symbolic algebraic tools, verification methods). the newest improvement is the mix of symbolic-algebraic equipment and verification how you can so-called hybrid equipment. – This publication features a choice of labored out talks on those topics given in the course of a Dagstuhl seminar on the Forschungszentrum f?r Informatik, Schlo? Dagstuhl, Germany, offering the state-of-the-art.

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