## Friday, March 23, 2018

### Creator of 'Grand Unified Theory of Mathematics' Wins Prestigious Math Prize

A mathematician who developed what some consider the "grand unified theory of mathematics" has won one of the most prestigious prizes in mathematics.

Robert Langlands, an emeritus professor at the Institute for Advanced Study at Princeton University, has won the Abel Prize, a prestigious mathematics prize that honors a lifetime of groundbreaking work, organizers of the prize announced yesterday (March 20).

## Wednesday, February 14, 2018

### The Science of Magic Angle Sculptures

John V. Muntean was inspired to create the Magic Angle Sculptures through his work with magic angle sample spinning, a scientific technique that mechanically simulates a molecule tumbling through space. The effect is to rapidly interchange the three axes of the Cartesian coordinates (x, y, and z). A complex observable phenomenon in three-dimensional space (such as the nuclear magnetic moments of a static molecule) can be represented by 3 x 3 tensors or sets of nine numbers; spinning at the magic angle simplifies that quantity to single isotropic values. Click here for his videos.

## Friday, January 05, 2018

### 50th Known Mersenne Prime Found!

Persistence pays off. Jonathan Pace, a GIMPS volunteer for over 14 years, discovered the 50th known Mersenne prime, 277,232,917-1 on December 26, 2017. The prime number is calculated by multiplying together 77,232,917 twos, and then subtracting one. It weighs in at 23,249,425 digits, becoming the largest prime number known to mankind. It bests the previous record prime, also discovered by GIMPS, by 910,807 digits.

## Wednesday, December 06, 2017

### Mathematicians Awarded \$3 Million for Cracking Century-Old Problem

Christopher Hacon, a mathematician at the University of Utah, and James McKernan, a physicist at the University of California at San Diego, won this year's Breakthrough Prize in Mathematics for proving a long-standing conjecture about how many types of solutions a polynomial equation can have. Polynomial equations are mainstays of high-school algebra — expressions like x^2+5x+6 = 1 — in which variables are raised to the whole number exponents and added, subtracted and multiplied. The mathematicians showed that even very complicated polynomials have just a finite number of solutions.

## Thursday, August 24, 2017

### Mathematical Secrets of Ancient Tablet Unlocked After Nearly a Century of Study

Dating from 1,000 years before Pythagoras’s theorem, the Babylonian clay tablet is a trigonometric table more accurate than any today, say researchers.

At least 1,000 years before the Greek mathematician Pythagoras looked at a right angled triangle and worked out that the square of the longest side is always equal to the sum of the squares of the other two, an unknown Babylonian genius took a clay tablet and a reed pen and marked out not just the same theorem, but a series of trigonometry tables which scientists claim are more accurate than any available today.

The 3,700-year-old broken clay tablet survives in the collections of Columbia University, and scientists now believe they have cracked its secrets.

## Thursday, August 17, 2017

### The Formula That Plots (Almost) Everything

Hold onto your logic hats! In this article we're going to explore one of the most amazing formulas in maths: Tupper's self-referential formula.

The protagonist of our story is the following inequality:

1/2<\floor{mod(\floor{\frac{y}{17}}2^(-17\floor{x}-mod(\floor{y},17)),2))

The plot works by either coloring a square or not coloring it: a square with coordinates (x, y) is colored if the inequality is true for x and y. If not the square is left blank.

If you plot the plot for many values of and , the outcome is the following:

I'll let that sink in a moment. No, your eyes are not deceiving you, the formula plots a bitmap picture of itself! Hence the name Tupper's self-referential formula (though Tupper never called this function that himself in his 2001 paper).

There is one missing detail, however. I haven’t told you the value of the number N on the y-axis.