June 28, 2015 — Giorgia Fortuna, Consultant, Advanced Research Group

Three months ago the world (or at least the geek world) celebrated Pi Day of the Century (3/14/15…). Today (6/28) is another math day: 2π-day, or Tau Day (2π = 6.28319…).

Some say that Tau Day is really the day to celebrate, and that τ(=2π) should be the most prominent constant, not π. It all started in 2001 with the famous opening line of a watershed essay by Bob Palais, a mathematician at the University of Utah:

“I know it will be called blasphemy by some, but I believe that π is wrong.”

Which has given rise in some circles to the celebration of Tau Day—or, as many people say, the one day on which you are allowed to eat two pies.

But is it true that τ is the better constant? In today’s world, it’s quite easy to test, and the Wolfram Language makes this task much simpler. (Indeed, Michael Trott’s recent blog post on dates in pi—itself inspired by Stephen Wolfram’s Pi Day of the Century post—made much use of the Wolfram Language.) I started by looking at 320,000 preprints from arXiv.org to see in practice how many formulas involve 2π rather than π alone, or other multiples of π.

Here is a `WordCloud` of some formulas containing 2π:

June 23, 2015 — Michael Trott, Chief Scientist

In a recent blog post, Stephen Wolfram discussed the unique position of this year’s Pi Day of the Century and gave various examples of the occurrences of dates in the (decimal) digits of pi. In this post, I’ll look at the statistics of the distribution of all possible dates/birthdays from the last 100 years within the (first ten million decimal) digits of pi. We will find that 99.998% of all digits occur in a date, and that one finds millions of dates within the first ten million digits of pi.

Here I will concentrate on dates than can be described with a maximum of six digits. This means I’ll be able to uniquely encode all dates between Saturday, March 14, 2015, and Sunday, March 15, 1915—a time range of 36,525 days.

May 29, 2015 — Wolfram Blog Team

This past week, on May 23, 2015, the much loved and respected John F. Nash Jr., along with his wife, Alicia Nash, passed away in a tragic car accident while returning home from his receipt of the 2015 Abel Prize for his work in partial differential equations. The Nobel winner and his wife were the subject of the 2001 Academy Award winning film *A Beautiful Mind*. Nash’s most famous contribution to mathematics and economics was in the field of game theory, which has enabled others to build on that work and was the focus of the film.

Nash’s long career as a mathematician was marked by both brilliant achievements and terrible struggles with mental illness. Despite his battle with schizophrenia, Nash inspired generations of mathematicians and garnered a stunning array of awards, including the 1994 Nobel Prize in economic sciences, the American Mathematical Society’s 1999 Leroy P. Steele Prize for Seminal Contribution to Research, and the 1978 John von Neumann Theory Prize. We were personally honored in 2003 when Nash presented his work with *Mathematica* at the International *Mathematica *Symposium in London.

May 20, 2015 — Ed Pegg Jr, Editor, Wolfram Demonstrations Project

In many areas of mathematics, **1** is the answer. Squaring a number above or below **1** results in a new number that is larger or smaller. Sometimes, determining whether something is “big” is based on whether a largest dimension is greater than **1**. For instance, with sides of length 13,800 km, Saturn’s hexagon would be considered big. A “little polygon” is defined as a polygon where **1** is the maximum distance between vertices. In 1975, Ron Graham found the biggest little hexagon, which has more area than the regular hexagon, as shown below. The red diagonals have length **1**. All other diagonals (not drawn) are smaller than **1**.

April 21, 2015 — Jenna Giuffrida, Content Administrator, Technical Communications and Strategy Group

What do genealogy, linear algebra, and the Raspberry Pi have in common? Not much, but they come together in this diverse and engaging assortment of books by the international community of authors employing Wolfram technologies in their work.

March 12, 2015 — Stephen Wolfram

*Pictures from Pi Day now added »*

This coming Saturday is “Pi Day of the Century”. The date 3/14/15 in month/day/year format is like the first digits of π=3.1415… And at 9:26:53.589… it’s a “super pi moment”.

Between *Mathematica* and Wolfram|Alpha, I’m pretty sure our company has delivered more π to the world than any other organization in history. So of course we have to do something special for Pi Day of the Century.

February 20, 2015 — Hector Zenil, Editor of the Complex Systems journal

When I was invited to join the Turing Centenary Advisory Committee in 2008 by Professor Barry Cooper to prepare for the Alan Turing Year in 2012, I would have never imagined that just a few years later, Turing’s life and work would have gained sufficient public attention to become the subject of a Hollywood-style feature film, nor that said movie would go on to earn eight Oscar nominations.

February 9, 2015 — Jenna Giuffrida, Content Administrator, Technical Communications and Strategy Group

We are once again thrilled by the wide variety of topics covered by authors around the world using Wolfram technologies to write their books and explore their disciplines. These latest additions range from covering the basics for students to working within specialties like continuum mechanics.

January 15, 2015 — Oleksandr Pavlyk, Manager of Probability and Statistics, Mathematica Algorithm R&D

January 16, 2015, marks the 360^{th} birthday anniversary of Jacob Bernoulli (also James, or Jacques).

Jacob Bernoulli was the first mathematician in the Bernoulli family, which produced many notable mathematicians of the seventeenth and eighteenth centuries.

Jacob Bernoulli’s mathematical legacy is rich. He introduced Bernoulli numbers, solved the Bernoulli differential equation, studied the Bernoulli trials process, proved the Bernoulli inequality, discovered the number ** e**, and demonstrated the weak law of large numbers (Bernoulli’s theorem).

October 21, 2014 — Ed Pegg Jr, Editor, Wolfram Demonstrations Project

For today’s magic show: A century ago, Martin Gardner was born in Oklahoma. He philosophized for his diploma. He wrote on Hex and Tic-Tac-Toe. The Icosian game and polyomino. Flexagons from paper trim, Samuel Loyd, the game of Nim. Digital roots and Soma stairs, mazes, logic, magic squares. Squaring squares, the golden Phi. Solved the spider and the fly. |