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Digital Genius
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Registrace 31. 07. 2021
Video
Simulating Particle Life
zhlédnutí 145KPřed měsícem
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.
How to Find VERY BIG Prime Numbers?
zhlédnutí 116KPřed měsícem
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 tes...
"It's just a Coincidence"
zhlédnutí 490KPřed 2 měsíci
There are many surprising results in math, and some might say that they are just pure coincidences, but are they really?
The Most Beautiful Equation
zhlédnutí 518KPřed 5 měsíci
To try everything Brilliant has to offer-free-for a full 30 days, visit 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
Can any Number be a Base?
zhlédnutí 375KPřed 6 měsíci
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
When Geometry Meets Infinity
zhlédnutí 390KPřed 7 měsíci
When we think about geometry, we often only consider finite shapes, but when we make the shapes infinite many surprises can occur.
Numbers too big to imagine
zhlédnutí 1,9MPřed 8 měsíci
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'...
How to 'always' win at Battleship?
zhlédnutí 656KPřed 9 měsíci
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 t...
Even Computers Can't Solve This Problem
zhlédnutí 13KPřed 9 měsíci
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 diffi...
MATH GRAPHS = ART
zhlédnutí 46KPřed 10 měsíci
If you know any other cool-looking mathematical graphs/functions, comment them down below, there will be a part 2. Music by: @AlekseyChistilin
8 minutes of Counterintuitive Math
zhlédnutí 399KPřed 10 měsíci
Math is logical, but sometimes the logic can be counter intuitive.
Formula for the Area of every Shape | Pick's Theorem
zhlédnutí 12KPřed rokem
Formula for the Area of every Shape | Pick's Theorem
Great video, but aren’t the inequality signs switched at the end of the video? They should be < instead of >.
Both boxes
I will be trying to learn calculus by this summer vacation as a 9th grade
So you're telling me that if it has an infinite amount of holes, the area would be infinite... I don't get the fact that the more holes in the figure, the bigger it will be.
The first fact can be generalized to (and explained by) the following statement: any number of the form abccba (note that the letters are digits, they are not being multiplied) is a multiple of 111 if a,b,c form an arithmetic sequence. Note that each line in the calculator is an arithmetic sequence and 37 divides 111, which is why the statement implies the fact. The statement is true because 111 divides 999 = 1000 - 1, so 111 divides x000 - x. With this, one can see that 111 divides abc000 - abc. Since a,b,c is an arithmetic sequence, we know a + c = 2b, so abc + cba = 100 * a + 10 * b + c + 100 * c + 10 * b + a = 100 * (a + c) + 10 * (2b) + (a + c) = 111 * 2b, which is clearly a multiple of 111. Therefore, 111 divides abc000 - abc and abc + cba, so it divides the sum, which is abccba.
Ah yes fraktur and hebraic, ying and yang.
Probably the best Maths video I've ever seen!
x*y=y^100-x^100
God thinks mathematically
I am literally astonished by how much clear the explanation is, of each and every concept of mathematics expalined in the video. Please never stop making videos.
3173000/1009997=3.14159…
Can there be a number system where pi is rational?
0:29 this can be proved with algebra
Math is sth hard..or ez maybe
2:46 "almost " I swear why is math like this
this is pure bs all this stuff here has very weak "proofs" like the sum of all natural numbers is equal to -1/12 which as a very weak proof and is very flowed and is not true
I swear to god that my honest reaction when you got to the result was just "get outta here" haha. Amazing video. I never understood why people always say that this is the most beautiful equation until now.
what about g_tree(3) is it infinite and is it larger than tree(4)
Particle life is a great program!
Awesome 👍
Thank You For The Video🩵🩵🩵🩵✨
I can’t place this accent and it’s driving me nuts
Is the source code available? This looks super interesting
"#" is "hash", not "hashtag". The latter is an online term used for tagging social media posts with the hash symbol.
I THINK NOT!
The way he says 'factorial' is the most interesting thing here.
[ALEPH] PROJECT MOON MENTIONED WTF IS AN EASY GAME ❗❗❗🔥🔥🔥🔥🩸🩸❗‼‼🗣
make the simulation publoc so everyone can simulate and change parameters
1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 Countiune in reply of u wanna like
90 - + 95
We all collectively admit we're stupid
You can use a * for multiplication i think
how do people find these?
Here's a list of languages that spell four letters for the number four. Bisaya: upat English: four Filipino: apat German: vier Norwegian: fire Can you think of more?
As a person whos about to finish elementary school my brain is turning into popcorn.
Golden ratio🤯⁉️
WHERE WERE YOU WHEN I WAS DOING MY BACHELOR'S IN MATH YOU WOULD HAVE HELPED ME THROUGH SO MUCH CONFUSION
⁴3=3⁷⁶²⁵⁵⁹⁷⁴⁸⁴⁹⁸⁷ = ???
this only in base ten.
😊😊😊
the butterfly curve needs some complicated functions to draw it in desmos
Nerd insults: Your mom weighs TREE(Graham's number) kilograms, which is coincidentally also the number of years it will take you to find a girlfriend.
So much wrong and misconceptions in that last part
It's G64 btw
Someone is going to study for more than 2 years
I zoned out and then heard the word simga and was totally lost
Gen alpha
@-JBYT- im not gen alpha I just heard the word sigma so much that evenever someone says it I cant take them seriously, im not saying I didnt take this guy seriously after that its just funny that I just heard "sigma" while I was doing something in the background
I'm not saying ur gen alpha
This is the coolest thing I've ever seen 👏🙌
how much does the water weigh??
I can confirm that I'm a Σ
Bro im 9 and i dont understand