In this post we present a high level introduction to evolution and to how we can use mathematical tools such as dynamical systems and Markov chains to model it. Questions about evolution then translate to questions about dynamical systems and Markov chains – some are easy to answer while others point to gaping holes in current techniques in algorithms and optimization.
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.
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 things. 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
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?