A small correction for the integer multiplication algorithm mentioned at the end. A “straightforward” application of FFT results in a runtime of O(N * log(n) log(log(n)) ). That log(log(n)) term is tiny, but it is only...

This is an absolutely beautiful piece of math. It shows how certain ideas from topology, such as the mobius strip, can be used to solve a slightly softer form of an unsolved problem in geometry.

In 2017, researchers off the Bulgarian coast discovered the oldest intact shipwreck ever found. This ancient Greek vessel was not only nearly 2,500 years old, but was just one of 65 shipwrecks found at the bottom of the Black Sea in...

Why are some stones round and others flat?

In this episode of Crash Course Kids, Sabrina talks about why things on the bottom of the Earth, don't just fall off into space. Plus... PENGUINS! This first series is based on 5th grade science. We're super excited and hope you enjoy...

Correction: 4:12 The top line should not be there, as that integral diverges




Timestamps
0:0
0 - The pattern
4:45 - Mo
ving average analogy
10:41 - High-level o
verview of the connection
16:14 - What's coming...

Fermi bubbles are made up of gamma rays, but where they came from is still up for debate. Did they come from a star-forming region, or the black hole at the middle of our galaxy?

Who wants to be a biologist? Learn all about scientists who study life -- like where they do their jobs, the questions they ask, and the tools they use!

Paul Andersen explains how the Meselson-Stahl experiment was used to prove that DNA copied itself through a semi-conservative process. They grew E. coli in a medium containing heavy nitrogen (N-15). They then added the E. coli to a...

The shower isn't supposed to be a dangerous place, but once you turn on the water, you might be attacked by your shower curtain. But don't blame the curtain! Blame physics!

Mountains take can take billions of years to form, but the Adirondack Mountains got ahead by recycling itself.

Abusing inhalants, like glue, can cause serious health problems, and you shouldn't need a video on the internet to tell you that. But let's take a deeper look at why these chemicals are so dangerous.

Logarithms are confusing, but perhaps some alternate notation could make them more intuitive.

What if your basic at-the-office elevator ride takes a sudden turn for the dark side of gravity, could you survive it?

This week, John is talking about Toni Morrison's novel of friendship, betrayal, and loss, Sula. Sula tells the story of two African American girls, the town where they grew up, the tragic even that was central to their youth, and the...

This video is about Hardy's Paradox, wherein an electron and positron (or photons polarized horizontally and vertically) pass through Mach-Zehnder interferometers that overlap such that the particles have a chance of annihilating. If...

One of Jessi and Squeak's favorite things to do on a nice day is to go to the park and fly their homemade kites! Today, Jessi will show you how to build your own kite and tell you how a little wind can send it soaring through the air!

Besides being the deepest lake on Earth, Lake Baikal supports a bizarre collection of species that are found nowhere else!

Learning to throw a boomerang properly takes a lot of practice. And aerodynamics.

Avalanches can be powerful and dangerous, but not all of them are created equal, and not everything you've seen on TV is likely to actually set one off.

This video is about a multistable perceptual illusion, similar to the hollow face illusion, whereby maps or aerial or satellite photos look upside down/inside out, ie, concave (valley) parts look convex and convex...

Mr. Andersen explains the law of superposition and the principle of original horizontality. He uses an animation to explain how rock layers can accumulate over time.

So you know that iced tea you like so much? Or that sweet soda drink? They're actually a few different things combined to make a new thing. In this episode of Crash Course Kids, Sabrina talks about all the different mixtures, solutions,...

We'd like to know why you're staring at yourself in a spoon in the first place. But we can at least answer the question of why you look upside-down when you do.