Galton Board App vs Galton Board Kullanım & İstatistikleri
Unlock the power of probabilities and explore the beauty of mathematics in motion with the Galton Board App. This innovative application transforms your mobile device into a dynamic, interactive probability demonstrator that brings centuries-old mathematical concepts to life. The app utilizes your iPhone's and iPad's gyroscope capabilities, creating an immersive experience where the beads appear as if they are rolling around inside your device.
The Galton Board was invented by Sir Francis Galton in 1873 to illustrate the binomial distribution. Through our app, we've recreated this educational tool to demonstrate how, with a large number of beads and rows of hexagons, it approximates the normal distribution - a concept known as the Central Limit Theorem.
Key Features:
• An interactive Galton Board that displays the principles of probabilities and the binomial distribution.
• Detailed explanations of related mathematical concepts, including probability theories, independent identically distributed (IID) random variables, regression to the mean, the law of large numbers, the random walk, the Gambler's Fallacy, and more.
• A "Stock Market Data" version, simulating the probabilities of a range of historical monthly market returns, and demonstrating their correlation with the binomial distribution.
• The 'Historical Monthly Return Beads' featured with the Stock Market Data, where beads fall through the board based on monthly historical returns for a choice of 20 index portfolios.
• Pause or slow-motion options to study the bead movement and distribution patterns in detail.
The Galton Board App is ideal for statistics, math, and stock market enthusiasts. It is not just an app, it's an immersive, hands-on approach to understanding probabilities, the binomial distribution, and the stock market behavior. Presented by Index Fund Advisors, this app is your go-to educational tool. Download now and embark on a fascinating journey into the world of probabilities and the "law of unreason" as referred to by Sir Francis Galton himself!
- Apple App Store
- BOŞTA
- Eğitim
Mağaza Sıralaması
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Originally conceived in 1894 by Galton, the board consists of countless balls traversing down through a maze of pins. At every pin, they have a single choice: go left or right.
Although the possibilities seem limitless, a pattern soon emerges. But how does this really work?
This app is a simulation of the famous Galton board and is intended for educational purposes. You can adjust the board size, and send over a thousand balls bouncing down the board. On iPad you can even run multiple simulations simultaneously with multiple windows.
The results are visualized by a bar chart. The Galton Board is closely related to Pascal's Triangle, Newton's binomium and probability theory in general.
For experiment fidelity and performance, the balls do not collide with each other.
I hope this app helps people grasp chance at least a little bit better.
Love the app, or have improvements/suggestions? Let me know!
- Apple App Store
- BOŞTA
- Eğitim
Mağaza Sıralaması
- -
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Galton Board App VS.
Galton Board
Aralık 19, 2024