June 2005
"Paper Detailing Milk Contamination Released," reported by Joe Palca. National Public Radio's "All Things Considered," 28 June 2005;
"Landmarks on the Road to Modern Calculus": Review of The Calculus Gallery: Masterpieces from Newton to Lebesgue, by William Dunham. Reviewed by Judith V. Grabiner. Science, 24 June 2005, page 1872. Grabiner calls The Calculus Gallery: Masterpieces from Newton to Lebesgue, by William Dunham (Princeton University Press, 2005), "a wonderful book" for teachers "wanting a clear sense of where ideas came from", and for mathematicians, scientists, and historians, who "can learn much that is interesting, much that is mathematically significant, and a good deal that is both".  Annette Emerson
"Probing Performance Gaps": Review of Gender Differences in Mathematics: An Integrative Psychological Approach, edited by Ann M. Gallagher and James C. Kaufman. Reviewed by Debra Lewis. Science, 24 June 2005, page 1871. Lewis reviews the book Gender Differences in Mathematics: An Integrative Psychological Approach, edited by Ann M. Gallagher and James C. Kaufman (Cambridge University Press, 2005). The volume "offers a collection of selfcontained chapters investigating this perceived gender gap in mathematics achievement, particularly the mismatch between course grades and scores on standardized tests." Lewis describes the writing and contents as uneven, but does say that most of the chapters are well written and provocative "in the best sense of the word." She concludes with some as yet unanswered questions and thoughts of her own.  Annette Emerson
"A glance at the current issue of Notices of the American Mathematical Society: Appreciating beauty and magic of mathematics," by Peter Monaghan. The Chronicle of Higher Education, 23 June 2005.
"Grassroots Math Guide." NetWatch, Science, 17 June 2005, page 1721. The PlanetMath website currently has over 5000 entries in its encyclopedia of mathematics topics. Nathan Egge and Aaron Krowne began the site about five years ago when another website they used as a math reference went offline. Users write and review the content at PlanetMath. Krowne estimates that mathematics graduate students are the biggest contributors.  Mike Breen
"Trade secret." Random SamplesPeople, Science, 17 June 2005, page 1739. In April, Alexis Lemaire broke his own record for calculating in his head when he found the 13th root of a 200digit number in under five minutes. The 24yearold informatics student said that he would like to set his next record in the U.S. because, "In France almost everybody knows me now."  Mike Breen
"Modellers measure 'word of mouth' for films," by Mark Peplow. news@nature.com, 14 June 2005.
"A perfect fit." Random SamplesPeople, Science, 10 June 2005, page 1547. Wayne Daniel has created a puzzle which is a nested set of the five platonic solids: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. The puzzle has 41 interlocking pieces. Daniel is a former physicist who first became interested in making geometric objects when he first made a tetrahedral kite for his son. This short article indicates that his next challenge is to design a puzzle based on the surface of a soap bubble.  Mike Breen
"Can Get Satisfaction," by Carla P. Gomes and Bart Selman. Nature, 9 June 2005. In this article, Carla Gomes and Bart Selman begin by discussing constraintsatisfaction problems, a class of optimization problems used in the scheduling of airline or train crews and computational biology, to name a few applications. These types of problems contain a set of variables with a finite number of possible values, as well as a set of constraints. Although "computer scientists conjecture ... that there is no algorithm that can do substantially better [at finding solutions to these types of problems] than can an exhaustive search, ... certain sets of constraints are actually surprisingly easy to satisfy." For example, problems with many variables that can take many values and have only a few constraints, will have many solutions. On the other hand, problems with few variables and many constraints may have no solution. What about the constraintsatisfaction problems that fall between these two situations, problems at the "phase transition" which "occurs at a certain ratio of constraints to variables"? Here Gomes and Selman discuss the work of Dimitris Achlioptas, Assaf Naor, and Yuval Peres. These three researchers present "a new approach to determining the lower bound on this phase transition in [a type of constraintsatisfaction problem, known as a] kSAT problem." Achlioptas, Naor, and Peres also offer a technique for determining the solution of graphcoloring problems, another type of constraintsatisfaction problem. The work of these researchers highlights, in the words of Gomes and Selman, how "the quest for a deeper understanding of phasetransition phenomena in computational problems has been a catalyst to a productive interchange of ideas and concepts between statistical physics, mathematics and computer science."  Claudia Clark
"Game for some roadtrip fun?," by Lynn Petrak. The Chicago Tribune, 5 June 2005. The new handheld game, 20Q, amuses families on car trips as it uses algorithms to correctly guess most word choices. Canadian mathematician Robin Bergener turned entrepreneur by allowing a commercial toy company to develop and sell the device based on his 20Q.net. Petrak notes that "although the socalled neural network that drives the game is complex, the premise is simple: Think of a word, press a button to start and answer the ensuing series of questions scrolled along a small screen as `yes,' `no,' `unknown,' or `sometimes.' Three out of four times the game is likely to win." The Chicago Tribune's editor notes that "the toy is amazing. And addictive."  Annette Emerson

Comments: Email Webmaster 
© Copyright
, American Mathematical Society

