The digits of pi (π) put to music using Mathematica. The digits are mapped as follows: 1→C, 2→D, 3→E, 4→F5, 5→G, 6→A3, 7→B3, 8→C5, 9→D5, 0→C3. This goes out to 314 digits of pi (π) at 120 bpm.
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Discoveries about our solar system come principally from astronomy and cosmology, but math plays a role, too. The existence of the planet Neptune was predicted by mathematicians, based on Newton’s law of gravitation, before anyone even dreamt of an eighth planet. Recently, integral and differential equations, along with mathematical models, have dramatically increased the accuracy of estimates of the length of Saturn’s day. And applying probability and statistics to the chemical composition of simulations of growing planets early in the solar system’s history have bolstered the impact theory about the Moon’s origin.Earth’s orbit is almost completely determined by the Sun’s gravity, but our path through space is also affected by the pull of other planets and the Moon. Unfortunately, explicitly solving the equations associated with the gravities of many bodies is impossible. So researchers are using numerical approximations and nonlinear dynamics to see if the tiny effects of interacting planetary gravitational forces will accumulate and eventually alter the solar system’s stability. They’ve determined that there is a very small chance the effects could accrue and result in planetary collisions. No need to relocate just yet, though, as this could take billions of years.
For More Information: Solar System Dynamics, Carl D. Murray and Stanley F. Dermott, 2000
This is the final audio clip of this series. The mathematician that never was. Professor Marcus du Sautoy describes the life and mathematics of an elusive hero. The collected works of Bourbaki represents one of the most ambitious enterprises in mathematical history: an attempt to unify shapes and numbers into single discipline. A mathematical romance. Professor Marcus du Sautoy describes how a passion for prime numbers united a Cambridge professor and an unknown Indian clerk. An embarrassing error and the mathematics of chaos. Professor Marcus du Sautoy describes how a mistake in Poincare's working led him to an astonishing conclusion: some mathematical problems don't have a reliable solution. Infinity. Professor Marcus du Sautoy describes the troubled life of this radical mathematician who shocked his colleagues by proving there's more than one infinity. With contributions from Emeritus Professor of Mathematics Roger Penrose. Seeing in four dimensions. Professor Marcus du Sautoy on the pioneers who pushed mathematics into new dimensions and the strange new geometries they created. Emeritus Professor Roger Penrose confirms that even Einstein sometimes struggled with his maths. The 19th century mathematical celebrity. Professor Marcus du Sautoy describes how a study of asteroids led Gauss to describe the normal distribution. With contributions from Chairman for the Commission for Racial Equality Trevor Phillips, who believes statistics are the most powerful weapon we have for fighting prejudice. Professor Marcus du Sautoy on his favourite mathematician, an angry, young genius who did his best maths in prison and died in a duel, aged 20. 
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