3Blue1Brown
Gradient descent, how neural networks learn | Chapter 2, deep learning
An overview of gradient descent in the context of neural networks. This is a method used widely throughout machine learning for optimizing how a computer performs on certain tasks.
3Blue1Brown
All possible pythagorean triples, visualized
There are a few special right triangles many of us learn about in school, like the 3-4-5 triangle or the 5-12-13 triangle. Is there a way to understand all triplets of numbers (a, b, c) that satisfy a^2 + b^2 = c^2? There is! And it uses...
3Blue1Brown
Integration and the fundamental theorem of calculus: Essence of Calculus - Part 8 of 11
What is integration? Why is it computed as the opposite of differentiation? What is the fundamental theorem of calculus?
PBS
Strange Stars
What happens when matter can't get any denser yet somehow does? The answer - it becomes strange. Strange Stars may be the most massive stellar remnant that is just shy of forming a black hole. And they could be even cooler than black holes.
TED-Ed
TED-Ed: Can you solve the dark matter fuel riddle? - Daniel Finkel
An ancient, abandoned alien space station has been discovered. Can you beat everyone in the galaxy and reach it first? -- It’s an incredible discovery: an abandoned alien space station filled with precursor technology. Now every species...
TED-Ed
TED-Ed: Can you solve the jail break riddle? - Dan Finkel
You’re a bank robber trying to escape from jail. Can you solve the riddle to get past the fence to freedom? -- Your timing made you and your partner infamous bank robbers. Now, you need to use that timing to break out of jail. Your...
TED-Ed
TED-Ed: Can you solve the giant cat army riddle? - Dan Finkel
The villainous Dr. Schrodinger has developed a growth ray and intends to create an army of giant cats to terrorize the city. Your team of secret agents has tracked him to his underground lab. You burst in to find. . . that it's a trap!...
TED-Ed
TED-Ed: How did clouds get their names? - Richard Hamblyn
The study of clouds has always been a daydreamer’s science, aptly founded by a thoughtful young man whose favorite activity was staring out of the window at the sky. Richard Hamblyn tells the history of Luke Howard, the man who...
SciShow
SciShow Quiz Show: The Science of Puppies!
SciShow Quiz Show is back, with familiar faces Hank Green and Lindsey Doe matching wits about ancient science, puppies, and all kinds of words that have “sex” in them!
TED Talks
TED: The beautiful math behind the world's ugliest music | Scott Rickard
Scott Rickard set out to engineer the ugliest possible piece of music, devoid of repetition, using a mathematical concept known as the Costas Array. In this surprisingly entertaining talk, he shares the math behind musical beauty ... and...
PBS
Why Computers are Bad at Algebra
The answer lies in the weirdness of floating-point numbers and the computer's perception of a number line.
3Blue1Brown
Simulating an epidemic
SIR models for epidemics, showing how tweakign behavior can change an outbreak.
TED-Ed
TED-Ed: The greatest mathematician that never lived | Pratik Aghor
When Nicolas Bourbaki applied to the American Mathematical Society in the 1950s, he was already one of the most influential mathematicians of his time. He'd published articles in international journals and his textbooks were required...
TED-Ed
TED-Ed: Can you solve the penniless pilgrim riddle? - Daniel Finkel
After months of travel, you've arrived at Duonia, home to the famous temple that's the destination of your pilgrimage. The walk from the welcome center to the temple isn't a long one ... but there's a problem. Can you outsmart the city's...
3Blue1Brown
Sneaky Topology (The Borsuk-Ulam theorem)
Solving a discrete math puzzle, namely the stolen necklace problem, using topology, namely the Borsuk Ulam theorem
3Blue1Brown
Backpropagation calculus | Appendix to deep learning chapter 3
The math of backpropagation, the algorithm by which neural networks learn.
TED-Ed
TED-Ed: Can you solve the killer robo-ants riddle? - Dan Finkel
The good news is that your experimental robo-ants are a success. The bad news is that you accidentally gave them the ability to shoot deadly lasers . . . and you can't turn it off. Can you stop them from escaping their habitat before the...
TED-Ed
TED-ED: The paradox of value - Akshita Agarwal
Imagine you're on a game show and you can choose between two prizes: a diamond - or a bottle of water. It's an easy choice _ the diamonds are more valuable. But if given the same choice when you were dehydrated in the desert, after...
3Blue1Brown
Higher order derivatives | Footnote, Essence of calculus
What is the second derivative? Third derivative? How do you think about these?
TED-Ed
TED-ED: Can you solve the river crossing riddle? - Lisa Winer
As a wildfire rages through the grasslands, three lions and three wildebeest flee for their lives. To escape the inferno, they must cross over to the left bank of a crocodile-infested river. Can you help them figure out how to get across...
3Blue1Brown
How secure is 256 bit security?
When a piece of cryptography is described as having "256-bit security", what exactly does that mean? Just how big is the number 2^256?
Be Smart
Why Nature Loves Hexagons (featuring Infinite Series!)
From spirals to spots to fractals, nature is full of interesting patterns. Many of these patterns even resemble geometric shapes. One of the most common? Hexagons. Why do we see this six-sided shape occur so many times in nature? This...
3Blue1Brown
Triangle of Power
Logarithms are confusing, but perhaps some alternate notation could make them more intuitive.
PBS
Are Prime Numbers Made Up?
Is math real or simply something made up by mathematicians? You can't physically touch a number yet using numbers we're able to build skyscrapers and launch rockets into space. Mathematician Kelsey Houston-Edwards explains this...