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Announcements & Events

Happy Birthday, Alan Turing

Today (June 23, 2010) would have been Alan Turing's 98th birthday---if he had not died in 1954, at the age of 41. I never met Alan Turing; he died five years before I was born. But somehow I feel I know him well---not least because many of my own intellectual interests have had an almost eerie parallel with his. And by a strange coincidence, Mathematica's "birthday" (June 23, 1988) is aligned with Turing's---so that today is also the celebration of Mathematica's 22nd birthday. I think I first heard about Alan Turing when I was about eleven years old, right around the time I saw my first computer. Through a friend of my parents, I had gotten to know a rather eccentric old classics professor, who, knowing my interest in science, mentioned to me this "bright young chap named Turing" whom he had known during the Second World War. One of the classics professor's eccentricities was that whenever the word "ultra" came up in a Latin text, he would repeat it over and over again, and make comments about remembering it. At the time, I didn't think much of it---though I did remember it. Only years later did I realize that "Ultra" was the codename for the British cryptanalysis effort at Bletchley Park during the war. In a very British way, the classics professor wanted to tell me something about it, without breaking any secrets. And presumably it was at Bletchley Park that he had met Alan Turing. A few years later, I heard scattered mentions of Alan Turing in various British academic circles. I heard that he had done mysterious but important work in breaking German codes during the war. And I heard it claimed that after the war, he had been killed by British Intelligence. At the time, at least some of the British wartime cryptography effort was still secret, including Turing's role in it. I wondered why. So I asked around, and started hearing that perhaps Turing had invented codes that were still being used. I'm not sure where I next encountered Alan Turing. Probably it was when I decided to learn all I could about computer science---and saw all sorts of mentions of "Turing machines”. But I have a distinct memory from around 1979 of going to the library, and finding a little book about Alan Turing written by his mother, Sara Turing. And gradually I built up quite a picture of Alan Turing and his work. And over the 30 years that have followed, I have kept on running into Alan Turing, often in unexpected places.
Education & Academic

The Circles of Descartes

Somewhere, you've likely been forced to learn how fractions work, and how to calculate 2/7 + 2/5. To some extent, fractions have been falling out of favor in the world, losing out to decimals. The New York Stock Exchange gave up fractions on April 9, 2001. Much of the time, a decimal is okay. Sometimes, though, especially in mathematics, exact values are desired. Instead of a value being 3.00000000...00727..., it is exactly 3. Or exactly 10/35 + 14/35 = 24/35. For fractions themselves, the Farey sequence is quite interesting—the reduced fractions between 0 and 1 where the denominator is less than or equal to a particular value, like 7. For example, the F7 Farey sequence is the the first row in the following block. The next row has the denominator. The third row is twice the reciprocal of the denominator squared. The fourth row is the denominator from the third row.
Announcements & Events

Announcing the Wolfram Data Summit

The creation of large data repositories has been a key historical indicator of social and intellectual development—and indeed perhaps one of the defining characteristics of the whole progress of civilization. And through our work on Wolfram|Alpha—with its insatiable appetite for systematic data—we have gained a uniquely broad view of the many great data repositories that […]

Announcements & Events

Get Ready for the Wolfram Technology Conference 2010

Let Wolfram technologies—present and future—be part of your long-term software solution. Get opportunities to learn from Mathematica experts. Gain hands-on experience that will enhance and expand how you use Wolfram|Alpha. You can do all of this and more at the Wolfram Technology Conference 2010, being held the second week of October in Champaign, Illinois, USA.
Announcements & Events

Remembering Martin Gardner

In Winning Ways for Your Mathematical Plays, noted mathematicians Elwyn Berlekamp, John Conway, and Richard Guy have this dedication: "To Martin Gardner, who has brought more mathematics to more millions than anyone else." Martin Gardner passed away on May 22, 2010, and I talk about my own introduction to his work at the Wolfram|Alpha Blog. On May 21, I was asked for the best book about math for a young adult. I suggested Martin Gardner's Mathematical Games (CD-ROM), which contains his 15-book canon. In my opinion, it's still the best book series for sparking an interest in mathematics. In a way, Wolfram Research has been trying to beat Martin in the noble goal of bringing math and science to the millions. We've partnered with CBS/Paramount for the NUMB3RS TV show, our CEO Stephen Wolfram wrote A New Kind of Science, co-founder Theodore Gray made what I think is the best periodic table in the world, and we built MathWorld, the most comprehensive math encyclopedia on the web.
Computation & Analysis

Data Diving with Mathematica

Wolfram Research hosts lots of popular websites, including Wolfram|Alpha and the Wolfram Demonstrations Project, and we collect a lot of web traffic data on those sites to make sure you, our visitors, are meeting your goals. To really dive deep into that data, our corporate analysis team has built on a number of Mathematica's standard data analysis features to develop a powerful, in-house computable data function for studying web traffic and other business data. In this video, corporate analysis team lead David Howell describes how using Mathematica gives his team huge advantages in discovering new patterns and relationships within our web traffic data and in delivering insightful interactive reports.
Announcements & Events

Get It in Print: The Wolfram Mathematica Tutorial Collection

When we released Version 6 in May 2007, Mathematica was reinvented. We also reinvented something else that Mathematica has long been known for: its extensive and detailed product documentation. While some of you appreciated the recrafting of our tutorial content as stand-alone electronic documents, others missed the narrative of the book, and you let us know it. Which is a good thing, because it led to the creation of the Wolfram Mathematica Tutorial Collection.
Computation & Analysis

UK Investment Returns under Conservative and Labour Governments

As the closing days of the United Kingdom election campaign have focused on the economy, I thought I would repeat the analysis that Theodore Gray did on Dow Jones returns under United States presidential parties—but using UK data. I started by going to an interactive Mathematica Demonstration that Theodore wrote. Like all Demonstrations, it doesn't just present information, it encodes the analysis, so by downloading the source code, I was able to re-deploy it on UK data quite quickly. The data was a little more difficult (detailed at the end of this post). So what did I find?