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- William_Kahan abstract "William Morton Kahan (born June 5, 1933) is a mathematician and computer scientist who received the Turing Award in 1989 for \"his fundamental contributions to numerical analysis\", was named an ACM Fellow in 1994, and inducted into the National Academy of Engineering in 2005.He attended the University of Toronto, where he received his bachelor's degree in 1954, his master's degree in 1956, and his Ph.D. in 1958, all in the field of mathematics. Kahan is now emeritus professor of mathematics and of electrical engineering and computer sciences (EECS) at the University of California, Berkeley.Kahan was the primary architect behind the IEEE 754-1985 standard for floating-point computation (and its radix-independent follow-on, IEEE 854). He has been called “The Father of Floating Point,” since he was instrumental in creating the original IEEE 754 specification. Kahan continued his contributions to the IEEE 754 revision that led to the current IEEE 754 standard. In the 1980s he developed the program \"paranoia\", a benchmark that tests for a wide range of potential floating point bugs. It would go on to detect the infamous Pentium division bug, and continues to have important uses to this day. He also developed the Kahan summation algorithm, an important algorithm for minimizing error introduced when adding a sequence of finite precision floating point numbers. He coined the term \"The Table-Maker's Dilemma\" for the unknown cost of correctly rounding transcendental functions to some preassigned number of digits.He is an outspoken advocate of better education of the general computing population about floating-point issues, and regularly denounces decisions in the design of computers and programming languages that may impair good floating-point computations.When Hewlett–Packard introduced the original HP-35 pocket scientific calculator, its numerical accuracy in evaluating transcendental functions for some arguments was not optimal. Hewlett–Packard worked extensively with Kahan to enhance the accuracy of the algorithms, which led to major improvements. This was documented at the time in the Hewlett-Packard Journal.He also contributed substantially to the design of the algorithms in the HP Voyager series, and wrote part of their intermediate and advanced manuals.".
- William_Kahan almaMater University_of_Toronto.
- William_Kahan award Association_for_Computing_Machinery.
- William_Kahan award IEEE_Emanuel_R._Piore_Award.
- William_Kahan award National_Academy_of_Engineering.
- William_Kahan award Turing_Award.
- William_Kahan birthDate "1933-06-05".
- William_Kahan birthPlace Canada.
- William_Kahan birthPlace Ontario.
- William_Kahan birthPlace Toronto.
- William_Kahan doctoralStudent James_Demmel.
- William_Kahan field Computer_science.
- William_Kahan field Mathematics.
- William_Kahan knownFor IEEE_floating_point.
- William_Kahan knownFor Kahan_summation_algorithm.
- William_Kahan thumbnail William_Kahan.jpg?width=300.
- William_Kahan wikiPageExternalLink 2003Fall.pdf.
- William_Kahan wikiPageExternalLink ~wkahan.
- William_Kahan wikiPageExternalLink 754story.html.
- William_Kahan wikiPageExternalLink paranoia.
- William_Kahan wikiPageExternalLink 184410314.
- William_Kahan wikiPageExternalLink index.html.
- William_Kahan wikiPageID "303413".
- William_Kahan wikiPageLength "6387".
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- William_Kahan wikiPageRevisionID "702855761".
- William_Kahan wikiPageWikiLink Association_for_Computing_Machinery.
- William_Kahan wikiPageWikiLink Canada.
- William_Kahan wikiPageWikiLink Category:1933_births.
- William_Kahan wikiPageWikiLink Category:20th-century_mathematicians.
- William_Kahan wikiPageWikiLink Category:21st-century_mathematicians.
- William_Kahan wikiPageWikiLink Category:Canadian_computer_scientists.
- William_Kahan wikiPageWikiLink Category:Canadian_expatriate_academics_in_the_United_States.
- William_Kahan wikiPageWikiLink Category:Fellows_of_the_Association_for_Computing_Machinery.
- William_Kahan wikiPageWikiLink Category:Living_people.
- William_Kahan wikiPageWikiLink Category:Numerical_analysts.
- William_Kahan wikiPageWikiLink Category:People_from_Toronto.
- William_Kahan wikiPageWikiLink Category:Scientific_computing_researchers.
- William_Kahan wikiPageWikiLink Category:Turing_Award_laureates.
- William_Kahan wikiPageWikiLink Category:University_of_California,_Berkeley_faculty.
- William_Kahan wikiPageWikiLink Category:University_of_Toronto_alumni.
- William_Kahan wikiPageWikiLink Computer_science.
- William_Kahan wikiPageWikiLink Computer_scientist.
- William_Kahan wikiPageWikiLink Floating_point.
- William_Kahan wikiPageWikiLink HP-35.
- William_Kahan wikiPageWikiLink Hewlett-Packard.
- William_Kahan wikiPageWikiLink Hewlett-Packard_Voyager_series.
- William_Kahan wikiPageWikiLink IEEE_754-1985.
- William_Kahan wikiPageWikiLink IEEE_754_revision.
- William_Kahan wikiPageWikiLink IEEE_854-1987.
- William_Kahan wikiPageWikiLink IEEE_Emanuel_R._Piore_Award.
- William_Kahan wikiPageWikiLink IEEE_floating_point.
- William_Kahan wikiPageWikiLink Intel_8087.
- William_Kahan wikiPageWikiLink James_Demmel.
- William_Kahan wikiPageWikiLink Kahan_summation_algorithm.
- William_Kahan wikiPageWikiLink Mathematician.
- William_Kahan wikiPageWikiLink Mathematics.
- William_Kahan wikiPageWikiLink National_Academy_of_Engineering.
- William_Kahan wikiPageWikiLink Numerical_analysis.
- William_Kahan wikiPageWikiLink Ontario.
- William_Kahan wikiPageWikiLink Pentium_FDIV_bug.
- William_Kahan wikiPageWikiLink Rounding.
- William_Kahan wikiPageWikiLink Toronto.
- William_Kahan wikiPageWikiLink Transcendental_function.
- William_Kahan wikiPageWikiLink Turing_Award.
- William_Kahan wikiPageWikiLink University_of_California,_Berkeley.
- William_Kahan wikiPageWikiLink University_of_Toronto.
- William_Kahan wikiPageWikiLinkText "Kahan".
- William_Kahan wikiPageWikiLinkText "Kahan, William".
- William_Kahan wikiPageWikiLinkText "Prof. Kahan".
- William_Kahan wikiPageWikiLinkText "William (Velvel) Kahan".
- William_Kahan wikiPageWikiLinkText "William Kahan".
- William_Kahan almaMater University_of_Toronto.
- William_Kahan birthDate "1933-06-05".
- William_Kahan birthPlace Canada.
- William_Kahan birthPlace Ontario.
- William_Kahan birthPlace Toronto.
- William_Kahan doctoralAdvisor "Byron Alexander Griffith".
- William_Kahan doctoralStudents James_Demmel.
- William_Kahan field Mathematics.
- William_Kahan field "Computer Science".
- William_Kahan knownFor IEEE_floating_point.
- William_Kahan knownFor "Kahan summation algorithm".
- William_Kahan name "William Morton Kahan".
- William_Kahan nationality "Canadian".
- William_Kahan prizes Association_for_Computing_Machinery.
- William_Kahan prizes National_Academy_of_Engineering.
- William_Kahan prizes "IEEE Emanuel R. Piore Award".
- William_Kahan prizes "Turing Award".
- William_Kahan thesisTitle "Gauss-Seidel Methods Of Solving Large Systems Of Linear Equations".
- William_Kahan thesisYear "1958".
- William_Kahan wikiPageUsesTemplate Template:Authority_control.
- William_Kahan wikiPageUsesTemplate Template:Birth_date_and_age.
- William_Kahan wikiPageUsesTemplate Template:Infobox_scientist.
- William_Kahan wikiPageUsesTemplate Template:Mathgenealogy.
- William_Kahan wikiPageUsesTemplate Template:Reflist.
- William_Kahan wikiPageUsesTemplate Template:Small.
- William_Kahan wikiPageUsesTemplate Template:Turing_award.
- William_Kahan workInstitution University_of_California,_Berkeley.
- William_Kahan subject Category:1933_births.