Most people who play Roulette make contact with betting strategies at some point, e.g., the famous Martingale system. But what about the Reverse Martingale Strategy? Does this work at all for Roulette? The Reverse Martingale strategy for Roulette has a probability...
Does the Martingale Strategy work for Roulette? Well, that depends on what you mean by work. Will you win? How much? When? Will you lose? How much? When? I have asked myself all of those questions and ended up writing a bit of Python code to find the answers, with the...
You understand how the Newton-Raphson method works, but don't know which \(x_0\) to use? I know exactly what you mean. So how do you find the best initial guess for Newton's method? There is no general answer that fits all concrete cases or problems. As a...
Newton's method for numerically finding roots of an equation is also known as the Newton-Raphson method. Recently, I asked myself how to best explain this interesting numerical algorithm. Here I have collected a couple of illustrated steps that clearly show how...
Newton's method for numerically finding roots of an equation is most easily understood by example. At least, I learn more easily from examples. So, perhaps you do, too. In this article I've collected a couple of highly instructive examples for the Newton-Raphson...
We've seen fractals as (mostly) beautiful pictures showing bizarre structures in different colors. Some of them are generated by a mathematical algorithm called the Newton-Raphson method. But what are Newton fractals? Newton fractals are fractals created in the plane...
Recently, it was time for one of our annual family traditions. A university-student running event with a long history. Afterward, the rankings showed some extraterrestrially fast times. Smells fishy? Indeed it does. So I asked myself what you have probably asked...