Loading the Elevenlabs Text to Speech AudioNative Player... As you all know, I like the Newton-Raphson method. And so, explaining it covers quite a few articles on this website. Still, there is more we can do to explain this method. There is always more. To do that, I...
Andreas
The Newton-Raphson method, narrated in the style of a Film Noir Voiceover
You may have seen my post on the Newton-Raphson method in the style of the King-James version of the Bible. Since that turned out very well, I asked ChatGPT to explain the method again to me, but this time in the style of a Film Noir Voiceover. Here is the result....
The Newton-Raphson method according to the King-James version of the Bible
I've been experimenting with ChatGPT quite a bit lately (let's be honest, who hasn't). And at some point, I had the idea to ask ChatGPT to explain the Newton-Raphson method to me. But, as you have seen here on ComputingSkillset.com, I have quite some experience using...
Unicorn Glitterluck: Rules, Review, and Game Simulation
In our family, we love to play board games with our kids. And the kids love it, too. In particular, they like games that make them think a bit about strategy and what happens, plus are fun at the same time. For me as a geeky dad, a game that has some non-trivial...
7 Most Dangerous Pitfalls in Counting Calories for Cake
As an Austrian, I love cakes. Let's be honest, who doesn't love a good piece of cake? But then, cakes usually contain quite a few calories, and so it is justified to think about this aspect of the pleasure, too. For example, the beauty in the following picture...
James Bond Roulette Strategy Analysis: Losing With Style
Does the James Bond Roulette strategy actually work? Or does it just amount to losing at Roulette, but with style? I simulated and analyzed a lot of Roulette strategies recently, and here is the verdict for 007's preferred system: In short, the James Bond Roulette...
Why All Roulette Combination Bets Are the Same (Explained)
Do combination bets in Roulette increase your chances of winning? Does it help, to cover more numbers with different bets? When studying and simulating various Roulette betting systems and strategies, I found the following insight, when I asked myself: What is the...
Odds in the Martingale System: Math and Excel Cheat Sheet
When I recently Monte-Carlo-simulated the Martingale betting system, I found the large winning probability over the first rounds. Seeing this, I asked myself: can I confirm this by computing the odds and profits in the first rounds of the Martingale system by hand?...
Reverse Martingale for Roulette: Total Disaster or Genius?
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...
Martingale Roulette Strategy: Full Outcome Analysis with Charts
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...
How to Find the Initial Guess in Newton’s Method
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 Explained: Details, Pictures, Python Code
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...
11 Highly Instructive Examples for the Newton Raphson Method
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...
Newton Fractals Explained: Examples and Python Code
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...
