Making Probability Mathematical

Throughout much of human history, people consciously and intentionally produced randomness. They frequently used dice – or dice-shaped animal bones and other random objects – to gamble, for entertainment, predict the future and communicate with deities. Despite all this engagement with controlled random processes, people didn’t really think of probability in mathematical terms prior to 1600.

Reversing Entropy with Maxwell’s Demon

Ultimately, entropy is a measure of the availability of free energy – of energy that isn’t hopelessly mixed in thermal equilibrium. Pump energy into a small system and complexity can thrive..

Psychokinetically Picking Your Path

A request I see a lot of people ask online a lot are things they can try with psychokinesis. In most places, this question tends to go unanswered where people inexperienced with psychokinesis will shift the conversation to an irrelevant topic that has nothing to do with psychokinesis. This article is about a simple and fun psychokinetic exercise that can be expanded into more advanced techniques and teaches manipulation of complex entities. Instead of going in-depth on what random walks are, I am going to include a few useful videos made by people more qualified to explain it than me Read More

What is a Random Walk?

Random Walks are used in finance, computer science, psychology, biology and dozens of other scientific fields. They’re one of the most frequently used mathematical processes. So exactly what are Random Walks and how do they work?

Can a Chess Piece Explain Markov Chains?

In this episode probability mathematics and chess collide. What is the average number of steps it would take before a randomly moving knight returned to its starting square?


SageMath is a computer algebra system with features covering many aspects of mathematics, including algebra, combinatorics, graph theory, numerical analysis, number theory, calculus and statistics. SageMath is a free open-source mathematics software system licensed under the GPL. It builds on top of many existing open-source packages: NumPy, SciPy, matplotlib, Sympy, Maxima, GAP, FLINT, R and many more. Access their combined power through a common, Python-based language or directly via interfaces or wrappers. Mission: Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab.

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