Channel Title: Digital Genius Channel Description: <video> 50 Constants Explained Description: Numbers that are special. </video> <video> Simulating Particle Life Description: Particle Life is a fascinating simulation model that showcases emergent behavior arising from simple rules. Inspired by Jeffrey Ventrella's "Clusters" ( ventrella.com/Clusters ). This simulation resembles real-life organisms, demonstrating that emergent behavior doesn’t require complex processes. </video> <video> "It's just a Coincidence" Description: There are many surprising results in math, and some might say that they are just pure coincidences, but are they really? </video> <video> How to 'always' win at Battleship? Description: Battleship is a strategy type guessing game for two players. It is played on ruled grids on which each player's fleet of warships are marked. The locations of the fleets are concealed from the other player. Players alternate turns calling "shots" at the other player's ships, and the objective of the game is to destroy the opposing player's fleet. In this video you will learn the best strategy to win this game. Chapters: 00:00 Rules 00:42 Strategy 1 01:11 Strategy 2 01:46 Strategy 3 02:22 Strategy 4 </video> <video> Math is Art Description: Crazy math functions and graphs part 2. </video> <video> Even Computers Can't Solve This Problem Description: The travelling salesman problem (TSP) asks the following question: "Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns to the origin city?". The TSP was first formulated in 1930 and is one of the most intensively studied problems in optimization. Even though the problem is computationally difficult, many heuristics and approximation algorithms are known. Chapters: 00:00 Intro 01:22 Nearest Neighbor Algorithm 02:56 Multi-Fragment Algorithm 03:24 Christofides and Serdyukov Algorithm 04:48 Optimizations 05:25 Space-Filling Curve 06:21 End </video> <video> Neural Networks Explained: Step-by-Step Walkthrough Description: Lately, AI has become extremely popular. At the core of the latest advancements in AI is Machine Learning. At the core of Machine Learning are Neural Networks, which we will explore in this video. Chapters: 00:00 Intro 00:28 How do Neural Networks work? 09:16 Training the Neural Network 14:15 Backpropagation </video> <video> MATH GRAPHS = ART Description: If you know any other cool-looking mathematical graphs/functions, comment them down below, there will be a part 2. Music by: @AlekseyChistilin </video> <video> The Most Beautiful Equation Description: To try everything Brilliant has to offer—free—for a full 30 days, visit https://brilliant.org/DigitalGenius/ . The first 200 of you will get 20% off Brilliant’s annual premium subscription. Euler's Identity is one of the most popular math equations. In this video you'll learn what it really means. Chapters: 00:00 Intro 00:33 Pi 01:28 i 02:07 Derivative 10:00 e This video was sponsored by Brilliant </video> <video> Can any Number be a Base? Description: There are many different ways to express numbers. The most popular is definitely the decimal system, or in other words base 10. Base 2 and base 16 are also used in computers. But did you know that we can make number bases not only from integers? Chapters: 00:00 Introduction 02:22 Base 1 03:12 Negative bases 04:34 Fractional bases 10:06 Irrational bases 15:10 Imaginary bases </video> <video> 8 minutes of Counterintuitive Math Description: Math is logical, but sometimes the logic can be counter intuitive. </video> <video> Numbers too big to imagine Description: In mathematics, tetration is an operation based on iterated, or repeated, exponentiation. By using operations such as tetration, pentation or hexation we can create enormous numbers. Graham’s number is one of the most famous big numbers, but there are many even bigger numbers. Chapters: 00:00 First Hyperoperations 00:35 Tetration 01:26 Infinite Towers 02:12 Higher-level operations 03:23 Graham's Number 04:45 TREE(3) 07:00 Giant Numbers Music: @AlekseyChistilin LEMMiNO - Cipher - https://www.youtube.com/watch?v=b0q5PR1xpA0 </video> <video> When Geometry Meets Infinity Description: When we think about geometry, we often only consider finite shapes, but when we make the shapes infinite many surprises can occur. </video> <video> How to Find VERY BIG Prime Numbers? Description: Humans have been looking for prime numbers for a very long time. We still haven’t found the formula for generating prime numbers. However, we have developed methods to discover increasingly larger primes. Chapters: 00:00 The largest prime 00:37 Infinite number of primes 02:38 Sieve of Eratosthenes 03:14 Sieve of Atkin 04:46 Fermat's Little Theorem 06:10 Miller-Rabin test 09:18 AKS primality test 10:05 Mersenne Primes 11:43 Perfect Numbers 13:50 Lucas-Lehmer primality test 15:15 Intro to Group Theory 19:15 Lucas-Lehmer test proof 24:44 GIMPS </video> <video> 81 Math Symbols Explained Description: The language of math. </video>

Contacts and Links

Videos from channel