17
http://plus.maths.org/content/issue/issue/17
en/issue17
http://plus.maths.org/content/issue17
<div class="field field-type-date field-field-issue-date">
<div class="field-label">Issue date: </div>
<div class="field-items">
<div class="field-item odd">
<span class="date-display-single">November 2001</span> </div>
</div>
</div>
<p>Why does traffic in the other lane always move faster? Why can't some objects be measured? And how can we predict the best times of day to travel by train? This issue of Plus reveals the answers.</p>
17indexTue, 01 Jun 2010 12:31:19 +0000plusadmin5206 at http://plus.maths.org/contentModel Trains
http://plus.maths.org/content/model-trains
<div class="field field-type-text field-field-author">
<div class="field-items">
<div class="field-item odd">
Tim Gent </div>
</div>
</div>
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="130" height="130" alt="" src="http://plus.maths.org/content/sites/plus.maths.org/files/issue17/features/gent/icon.jpg?975628800" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
As customers will tell you, overcrowding is a problem on trains. Fortunately, mathematical modelling techniques can help to analyse the changing demands on services through the day. <strong>Tim Gent</strong> explains. </div>
</div>
</div>
<div class="pub_date">Nov 2001</div>
<!-- plusimport -->
<br clear="all" />
<h2>Going Places with Maths</h2>
<p>If you ask anyone what they dislike about trains, the chances are they will say one of two things: "They're always late" or "They're too crowded". As it happens, both of these problems have been studied using mathematical modelling techniques. This article looks at the latter problem, a topic known as "Peak Load Management". <!-- FILE: include/leftfig.html --></p><p><a href="http://plus.maths.org/content/model-trains" target="_blank">read more</a></p>http://plus.maths.org/content/model-trains#comments17fuzzy logicnormal distributionoperational researchpeak load managementsensitivity analysisFri, 01 Dec 2000 00:00:00 +0000plusadmin2191 at http://plus.maths.org/content'The Golden Section'
http://plus.maths.org/content/golden-section
<div class="pub_date">Nov 2001</div>
<!-- plusimport -->
<!-- FILE: include/leftfig.html -->
<div class="leftimage"><img src="/issue17/reviews/book2/cover.jpg" alt="" /></div>
<!-- END OF FILE: include/leftfig.html -->
<h2>The Golden Section</h2>
<h3>Hans Walser, trans. Peter Hilton</h3>
<p>Mathematical Association of America 2001</p><p><a href="http://plus.maths.org/content/golden-section" target="_blank">read more</a></p>http://plus.maths.org/content/golden-section#comments17book reviewFri, 01 Dec 2000 00:00:00 +0000plusadmin3277 at http://plus.maths.org/content'MathInsight 2002 Calendar'
http://plus.maths.org/content/mathinsight-2002-calendar
<div class="pub_date">Nov 2001</div>
<!-- plusimport -->
<!-- no longer used -->
<br clear="all" />
<!-- FILE: include/leftfig.html -->
<div class="leftimage"><img src="/issue17/reviews/book3/calendar.jpg" alt="" /></div>
<!-- END OF FILE: include/leftfig.html -->
<h2>MathInsight 2002 - a calendar for 2002</h2>
<h3>Editors: H-C Hege, K Polthier, M Rumpf</h3>
<p>Published by Springer-Verlag<br />
Available from www.springer.de</p><p><a href="http://plus.maths.org/content/mathinsight-2002-calendar" target="_blank">read more</a></p>http://plus.maths.org/content/mathinsight-2002-calendar#comments17book reviewFri, 01 Dec 2000 00:00:00 +0000plusadmin3276 at http://plus.maths.org/contentPlus Magazine
http://plus.maths.org/content/plus-magazine-23
<p><a href="http://plus.maths.org/content/plus-magazine-23" target="_blank">read more</a></p>17editorialFri, 01 Dec 2000 00:00:00 +0000plusadmin5104 at http://plus.maths.org/contentNotes and queries
http://plus.maths.org/content/notes-and-queries-2
<p><a href="http://plus.maths.org/content/notes-and-queries-2" target="_blank">read more</a></p>17editorialFri, 01 Dec 2000 00:00:00 +0000plusadmin4928 at http://plus.maths.org/contentOpinion
http://plus.maths.org/content/opinion-4
<p><a href="http://plus.maths.org/content/opinion-4" target="_blank">read more</a></p>17editorialFri, 01 Dec 2000 00:00:00 +0000plusadmin4867 at http://plus.maths.org/contentCareer interview: Maths editor
http://plus.maths.org/content/career-interview-maths-editor
<div class="field field-type-text field-field-author">
<div class="field-label">author: </div>
<div class="field-items">
<div class="field-item odd">
Rachel Thomas </div>
</div>
</div>
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="130" height="130" alt="" src="http://plus.maths.org/content/sites/plus.maths.org/files/issue17/interview/icon.jpg?975628800" /> </div>
</div>
</div>
<div class="pub_date">Nov 2001</div>
<!-- plusimport -->
<p><i>Jon Walthoe is an Editor of maths books at Cambridge University Press. The Plus team asked Jon about how he got here and just what an editor actually does.</i></p>
<p><!-- FILE: include/leftfig.html --></p>
<div class="leftimage" style="width: 140px;"><img src="/issue17/interview/jon.jpg" alt="Jon Walthoe" width="140" height="194" />
<p>Jon Walthoe</p><p><a href="http://plus.maths.org/content/career-interview-maths-editor" target="_blank">read more</a></p>http://plus.maths.org/content/career-interview-maths-editor#comments17career interviewmathematics educationpublishingScience & EngineeringFri, 01 Dec 2000 00:00:00 +0000plusadmin2402 at http://plus.maths.org/contentMathematical mysteries: Zeno's Paradoxes
http://plus.maths.org/content/mathematical-mysteries-zenos-paradoxes
<div class="field field-type-text field-field-author">
<div class="field-items">
<div class="field-item odd">
Rachel Thomas </div>
</div>
</div>
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="http://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/9_jun_2011_-_1545/tort1.jpg?1307630744" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
<p>The paradoxes of the philosopher Zeno, born approximately 490 BC in southern Italy, have puzzled mathematicians, scientists and philosophers for millennia. Although none of his work survives today, over 40 paradoxes are attributed to him which appeared in a book he wrote as a defense of the philosophies of his teacher Parmenides.</p>
</div>
</div>
</div>
<div class="pub_date">Nov 2001</div>
<!-- plusimport --><br clear="all"></br>
<p>The paradoxes of the philosopher <a href="http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Zeno_of_Elea.html">Zeno</a>, born approximately 490 BC in southern Italy, have puzzled mathematicians, scientists and philosophers for millennia. Although none of his work survives today, over 40 paradoxes are attributed to him which appeared in a book he wrote as a defense of the
philosophies of his teacher Parmenides.<p><a href="http://plus.maths.org/content/mathematical-mysteries-zenos-paradoxes" target="_blank">read more</a></p>http://plus.maths.org/content/mathematical-mysteries-zenos-paradoxes#comments17Achilles ParadoxArrow Paradoxconvergencegeometric serieslimitMathematical mysteriesrelativityworldlineZeno's paradoxesFri, 01 Dec 2000 00:00:00 +0000plusadmin4753 at http://plus.maths.org/contentCars in the next lane really do go faster
http://plus.maths.org/content/cars-next-lane-really-do-go-faster
<div class="field field-type-text field-field-author">
<div class="field-items">
<div class="field-item odd">
Nick Bostrom </div>
</div>
</div>
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="130" height="130" alt="" src="http://plus.maths.org/content/sites/plus.maths.org/files/issue17/features/traffic/icon.jpg?975628800" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
Yes, you were right to wish you were in the other lane during this morning's commute! <b>Nick Bostrom</b> tells why we're usually caught in the slow lane. </div>
</div>
</div>
<div class="pub_date">Nov 2001</div>
<!-- plusimport -->
<br clear="all" />
<p>When driving on the motorway, have you ever wondered about (and cursed) the fact that cars in the other lane seem to be getting ahead faster than you? You might be inclined to account for this by invoking Murphy's Law ("If anything can go wrong, it will", discovered by Edward A. Murphy, Jr, in 1949).<p><a href="http://plus.maths.org/content/cars-next-lane-really-do-go-faster" target="_blank">read more</a></p>http://plus.maths.org/content/cars-next-lane-really-do-go-faster#comments17anthropic principlebayes theoremconditional probabilitydata samplingdiffusionequilibriumestimationobservation selection effectthermodynamicsFri, 01 Dec 2000 00:00:00 +0000plusadmin2194 at http://plus.maths.org/contentMaths on the tube
http://plus.maths.org/content/maths-tube
<div class="field field-type-text field-field-author">
<div class="field-items">
<div class="field-item odd">
Keith Moffatt </div>
</div>
</div>
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="130" height="130" alt="" src="http://plus.maths.org/content/sites/plus.maths.org/files/issue17/features/posters/icon.jpg?975628800" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
During World Mathematical Year 2000 a sequence of posters were displayed month by month in the trains of the London Underground aiming to stimulate, fascinate - even infuriate passengers! <b>Keith Moffatt</b> tells us about three of the posters from the series. </div>
</div>
</div>
<div class="pub_date">Nov 2001</div>
<!-- plusimport -->
<br clear="all" />
<p>Tube travellers may have noticed some of the striking mathematical posters that were designed at the <a href="http://www.newton.cam.ac.uk">Newton Institute</a> for display month-by-month during World Mathematical Year 2000 in trains of the London Underground. Actually, the chance of spotting one in a single tube journey was about one in a hundred, so if you did see one, you could truly say
"This was my lucky day".</p><p><a href="http://plus.maths.org/content/maths-tube" target="_blank">read more</a></p>http://plus.maths.org/content/maths-tube#comments17advection-diffusion equationbutterfly effectchaosdifferential equationFibonacci numberfluid mechanicsgolden ratioLorenz equationsmeteorologystrange attractorFri, 01 Dec 2000 00:00:00 +0000plusadmin2193 at http://plus.maths.org/contentMeasure for measure
http://plus.maths.org/content/measure-measure
<div class="field field-type-text field-field-author">
<div class="field-items">
<div class="field-item odd">
Andrew Davies </div>
</div>
</div>
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="130" height="130" alt="" src="http://plus.maths.org/content/sites/plus.maths.org/files/issue17/features/measure/icon.jpg?975628800" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
Can you imagine objects that you can't measure? Not ones that don't exist, but real things that have no length or area or volume? It might sound weird, but they're out there. <strong>Andrew Davies</strong> gives us an introduction to Measure Theory. </div>
</div>
</div>
<div class="pub_date">Nov 2001</div>
<!-- plusimport -->
<br clear="all" />
<center>
<h3>Measure for Measure, or, How to make a carpet out of nothing.</h3>
</center>
<!-- no longer used -->
<h3>"How long is a piece of string?" [<a href="#quote1">1</a>]</h3>
<p>As long as you want it to be, of course! But when someone has asked that, either as a joke or to make a point in a conversation, did you ever stop to think that you were taking something very important for granted? Was it a question that worried you? Are you sure?</p><p><a href="http://plus.maths.org/content/measure-measure" target="_blank">read more</a></p>http://plus.maths.org/content/measure-measure#comments17Banach-Tarski paradoxCantor dustCantor setfractalLebesgue integrationmeasurabilitymeasure theoryRiemann integrationSierpinski's CarpetFri, 01 Dec 2000 00:00:00 +0000plusadmin2192 at http://plus.maths.org/content'The Tyranny of Numbers'
http://plus.maths.org/content/tyranny-numbers
<div class="pub_date">Nov 2001</div>
<!-- plusimport -->
<!-- FILE: include/leftfig.html -->
<div class="leftimage"><img src="/issue17/reviews/book1/tyranny.jpg" alt="" /></div>
<!-- END OF FILE: include/leftfig.html -->
<h2>The Tyranny of Numbers - Why Counting Can't Make Us Happy</h2>
<p>The author says in the introduction that "this book is intended as a polemic", and a polemic it certainly is. Whether or not you like the book will therefore depend not only on whether you agree with his thesis, but also on whether or not you like polemic.</p><p><a href="http://plus.maths.org/content/tyranny-numbers" target="_blank">read more</a></p>http://plus.maths.org/content/tyranny-numbers#comments17book reviewFri, 01 Dec 2000 00:00:00 +0000plusadmin3278 at http://plus.maths.org/content
http://plus.maths.org/content/os/issue17/letters/output
<p><a href="http://plus.maths.org/content/os/issue17/letters/output" target="_blank">read more</a></p>17editorialWed, 01 Dec 1999 00:00:00 +0000plusadmin4929 at http://plus.maths.org/content