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style='tab-interval:35.4pt' alink="#ff0000"> <div class=WordSection1> <p><span style='font-size:36.0pt;font-family:"Palatino Linotype"'>The Story</span><o:p></o:p></p> <p align=right style='text-align:right'>&nbsp;</p> <p align=right style='text-align:right'><i><span style='font-size:14.0pt; font-family:"Palatino Linotype"'>Problems worthy of attack<br> proof their worth by hitting back.<br> </span></i><span style='font-size:14.0pt;font-family:"Palatino Linotype"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  Piet Hein</span><span style='font-size:14.0pt'><o:p></o:p></span></p> <p align=right style='text-align:right'><i><span style='font-size:14.0pt; font-family:"Palatino Linotype"'>I can't tell you how often I see time and money wasted<br> because someone didn't bother to &quot;run the numbers.&quot;<br> </span></i><span style='font-size:14.0pt;font-family:"Palatino Linotype"'> William J. Browning</span><span style='font-size:14.0pt'><o:p></o:p></span></p> <p><span style='font-size:14.0pt;font-family:"Palatino Linotype"'>The Challenge The Winners Interview with Lloyd N. Trefethen Comments by the Contestants Relative Difficulty of the Problems</span><span style='font-size:14.0pt'><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <p><span style='font-size:14.0pt;font-family:"Palatino Linotype"'>The Story as Covered in <i>SIAM News</i></span><span style='font-size:14.0pt'><o:p></o:p></span></p> <ul type=square> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l4 level1 lfo3;tab-stops:list 36.0pt'><span style='font-size: 14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><a href="http://www.siam.org/pdf/news/388.pdf">Trefethen's challenge</a> (<i>SIAM News</i> January/February 2002)<br> &nbsp;</span><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l4 level1 lfo3;tab-stops:list 36.0pt'><span style='font-size: 14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><a href="http://www.siam.org/pdf/news/450.pdf">Trefethen's announcement of winners</a> (<i>SIAM News</i> June 2002, online only)<br> &nbsp;</span><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l4 level1 lfo3;tab-stops:list 36.0pt'><span style='font-size: 14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><a href="http://www.siam.org/pdf/news/455.pdf">Trefethen's report on the event</a> (<i>SIAM News</i> July/August 2002)<br> &nbsp;</span><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l4 level1 lfo3;tab-stops:list 36.0pt'><span style='font-size: 14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><a href="http://www.siam.org/news/news.php?id=498">Keller's Letter to the Editor</a> (<i>SIAM News</i> December 2002)<br> &nbsp;</span><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l4 level1 lfo3;tab-stops:list 36.0pt'><span style='font-size: 14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><a href="http://www.siam.org/news/news.php?id=292">Replies to Keller's letter</a> (<i>SIAM News</i> January/February 2003)</span><span style='font-size: 14.0pt;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'><o:p></o:p></span></li> </ul> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <p><span style='font-size:14.0pt'>The Story </span><i><span style='font-size: 14.0pt;font-family:"Palatino Linotype"'>(and Solutions) </span></i><span style='font-size:14.0pt'>as Put to the Web by Some of the Contestants<o:p></o:p></span></p> <blockquote style='margin-top:5.0pt;margin-bottom:5.0pt'> <p class=MsoNormal><span style='font-size:14.0pt;font-family:"Palatino Linotype"; mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'><a href="siamscim.pdf">Bernard Beard, Marijke van Gans, and Brian Medley</a> <a href="Boersma.pdf"> John Boersma, Jos Jansen, Fred Simons, and Fred Steutel </a> <a href="short.pdf">Folkmar Bornemann</a> <a href="Delaware_summary.pdf">Carl DeVore, Toby Driscoll, Eli Faulkner, Jon Leighton, Sven Reichard, and Lou Rossi</a> <a href="http://www.caam.rice.edu/caam/trs/2002/TR02-06.pdf">Eric Dussaud, Chris Husband, Hoang Nguyen, Daniel Reynolds, and Christiaan Stolk</a> <a href="http://www.math.ubc.ca/~israel/challenge/challenge.html">Gaston Gonnet and Robert Israel</a> <a href="http://stanwagon.com/wagon/Misc/SIAMchallenge.html">Danny Kaplan and Stan Wagon</a> <a href="Kern.pdf">Michel Kern</a> <a href="siam100digits_transparencies.pdf">Gerd Kunert</a> <a href="http://dip.sun.ac.za/~laurie/trefethen-challenge/">Dirk Laurie</a> <a href="Robinson.pdf">Peter Robinson</a> <a href="http://www.vcnet.com/~simonp">Peter Simon and Kim McInturff</a> <a href="http://matheplanet.com/matheplanet/nuke/html/matroid/siam/siam_results.pdf">Eckard Specht, Martin Wohlgemuth, Clemens Raab, and Lutz Gehlen</a></span><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'><o:p></o:p></span></p> </blockquote> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <p><span style='font-size:14.0pt'>The Story as Told Elsewhere<o:p></o:p></span></p> <ul type=square> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l2 level1 lfo6;tab-stops:list 36.0pt'><span style='font-size: 14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><a href="http://web.comlab.ox.ac.uk/oucl/work/nick.trefethen/">Lloyd N. Trefethen</a>.<br> &nbsp;</span><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l2 level1 lfo6;tab-stops:list 36.0pt'><span style='font-size: 14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Mitch Leslie (Ed.). <a href="http://www.sciencemag.org/cgi/reprint/295/5559/1431d.pdf"><i>NetWatch. Challenge: Decimal Decathlon</i>.</a> Science <b>295</b> (2002), p. 1431. <br> &nbsp;</span><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l2 level1 lfo6;tab-stops:list 36.0pt'><span style='font-size: 14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Gilbert Strang. <i><a href="http://www.sciencemag.org/cgi/content/full/307/5709/521">Learning from 100 Numbers</a></i>. Science <b>307</b> (2005), pp. 521-522.<br> &nbsp;</span><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l2 level1 lfo6;tab-stops:list 36.0pt'><span style='font-size: 14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Eric W. Weisstein. <i><a href="http://mathworld.wolfram.com/Hundred-DollarHundred-DigitChallengeProblems.html">Hundred-Dollar, Hundred-Digit Challenge Problems.</a></i> At <a href="http://mathworld.wolfram.com/"><i>MathWorld</i></a> A Wolfram Web Resource.<br> &nbsp;</span><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l2 level1 lfo6;tab-stops:list 36.0pt'><span style='font-size: 14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>David H. Bailey and Jonathan M. Borwein. <i><a href="http://crd.lbl.gov/~dhbailey/expmath/expmath-probs.pdf">Sample Problems of Experimental Mathematics.</a></i> From: <i>Mathematics by Experiment, Plausible Reasoning in the 21st Century.</i> A K Peters, Natick, 2004, pp. 22</span><span style='font-size:14.0pt;font-family:"Baoli SC Regular"; mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Baoli SC Regular"'></span><span style='font-size:14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman"'>26.<br> &nbsp;</span><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l2 level1 lfo6;tab-stops:list 36.0pt'><span style='font-size: 14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Ann Lugg. <i><a href="http://www.media.rice.edu/media/NewsBot.asp?MODE=VIEW&amp;ID=2497&amp;SnID=153968144">CAAM team wins the 'SIAM 100-Dollar, 100-Digit Challenge'.</a></i> Rice University News, Vol. 3, No. 2, September 5, 2002.<br> &nbsp;</span><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l2 level1 lfo6;tab-stops:list 36.0pt'><span style='font-size: 14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Regina&nbsp;Schwendener. <span class=artikeltitel><i><span style='font-family:"Palatino Linotype"'><a href="http://www.ethlife.ethz.ch/articles/news/WissRechnen.html">Die 100-Dollar-Herausforderung</a></span></i></span><span class=artikeltitel><span style='font-family:"Palatino Linotype"'>. </span></span>ETH Life, June 3, 2002.<br> &nbsp;</span><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></li> <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; mso-list:l2 level1 lfo6;tab-stops:list 36.0pt'><span style='font-size: 14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman"'>Matroid. <i><a href="http://matheplanet.com/matheplanet/nuke/html/article.php?sid=243&amp;mode=nested&amp;order=0">Die $100, 100-Digit Challenge.</a></i> <a href="http://matheplanet.com/matheplanet/nuke/html/article.php?sid=243&amp;mode=nested&amp;order=0">Matroids Matheplanet.</a> May 21, 2002.&nbsp;</span><span style='font-size:14.0pt; mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></li> </ul> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <p><span style='font-size:14.0pt'>The Donor<o:p></o:p></span></p> <h2 style='margin-left:36.0pt;text-indent:-18.0pt;mso-list:l1 level1 lfo8; tab-stops:list 36.0pt'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:14.0pt;font-family:Wingdings;mso-fareast-font-family:Wingdings; mso-bidi-font-family:Wingdings;font-weight:normal;mso-bidi-font-weight:bold'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='font-size:14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman";font-weight:normal'><a href="http://www.siam.org/visiting/speakers/browning.php">William J. Browning</a>, President, <a href="http://www.applmath.com/">Applied Mathematics, Inc.</a></span><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'><o:p></o:p></span></h2> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <p><span style='font-size:14.0pt'>Further Links<o:p></o:p></span></p> <h2 style='margin-left:36.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo10; tab-stops:list 36.0pt'><![if !supportLists]><span style='font-size:10.0pt; mso-bidi-font-size:14.0pt;font-family:Wingdings;mso-fareast-font-family:Wingdings; mso-bidi-font-family:Wingdings;font-weight:normal;mso-bidi-font-weight:bold'><span style='mso-list:Ignore'><span style='font:7.0pt "Times New Roman"'>&nbsp; </span></span></span><![endif]><span style='font-size:14.0pt;font-family:"Palatino Linotype";mso-fareast-font-family: "Times New Roman";mso-bidi-font-family:"Times New Roman";font-weight:normal'><a href="http://web.comlab.ox.ac.uk/oucl/work/nick.trefethen/">Lloyd N. Trefethen</a>. <i><a href="http://people.maths.ox.ac.uk/trefethen/publication/PDF/2005_114.pdf">Ten Digit Algorithms</a>, </i>Mitchell Lecture, Dundee, June 2005.</span><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'><o:p></o:p></span></h2> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <p><span style='font-size:14.0pt;font-family:"Palatino Linotype"'>This is a web page for the book:<br> <br> <a href="http://www.siam.org/books/100digitchallenge">Folkmar Bornemann, Dirk Laurie, Stan Wagon, Jrg Waldvogel: <i>The SIAM 100-Digit Challenge, A Study in High-Accuracy Numerical Computing</i>. Society of Industrial and Applied Mathematics (SIAM), Philadelphia, 2004.</a></span><span style='font-size:14.0pt'><o:p></o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span style='font-size:14.0pt;mso-fareast-font-family:"Times New Roman";mso-bidi-font-family: "Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <p align=center style='text-align:center'><span style='font-size:14.0pt; font-family:"Palatino Linotype"'>last modified: <!--webbot bot="Timestamp" S-Type="EDITED" S-Format="%m/%d/%y %H:%M %Z" startspan -->02/07/14 11:18 +0100<!--webbot bot="Timestamp" endspan i-checksum="24654" --> (FB)</span><span style='font-size:14.0pt'><o:p></o:p></span></p> </div> </body> </html>