A solution to the puzzle involving two blocks, sliding fricionlessly, where the number of collisions mysteriously computes pi

Paul Andersen explains how to use mathematics appropriately. He begins by emphasizing the important role that mathematics plays in the life sciences today and in that the future. He describes important mathematical equations in each of...

Derivatives are about slope, and integration is about area. These ideas seem completely different, so why are they inverses?

A new drug reduces the risk of heart attacks by 40%. Shark attacks are up by a factor of two. Drinking a liter of soda per day doubles your chance of developing cancer. These are all examples of a common way risk is presented in news...

An animated introduction to the Fourier Transform, winding graphs around circles.

TED curator Chris Anderson shares his obsession with questions that no one (yet) knows the answers to. A short intro leads into two questions: Why can't we see evidence of alien life? And how many universes are there?

What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.

Your body is really good at keeping its temperature at around 37� C, but have you ever wondered why?

In this episode of Crash Course Psychology, Hank takes a look at WAIS and WISC intelligence tests and how bias can really skew both results and the usefulness of those results. -- Table of Contents WAIS & WISC Tests 01:09:22...

An algorithm for solving continuous 2d equations using winding numbers.

What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.

An algorithm for numerically solving certain 2d equations. Even though we described how winding numbers can be used to solve 2d equations at a high level, it's worth pointing out that there are a few details missing for if you wanted to...

Is the Universe Entirely Mathematical feat. Max Tegmark

More than a billion people worldwide, mostly children, do not have a legal identity. In many countries, this means they can't get access to vital services like health care and education, says legal identity expert Kristen Wenz. She...

What is the math behind quantum computers? And why are quantum computers so amazing? Find out on this episode of Infinite Series.

This video is about how to create muons in a particle accelerator via bombardment of heavy nuclei with protons, which results in creation of charged pions (plus and minus). The pions then decay into muons and mu neutrinos, and the muons...

An overview of what a neural network is, introduced in the context of recognizing hand-written digits.

How one of the introductory ideas in a field called "measure theory" can be thought of in terms of musical harnomy and dissonance.

The formula for the cross product can feel like a mystery, or some kind of crazy coincidence. But it isn't. There is a fundamental connection between the cross product and determinants.

China is a huge laboratory of innovation, says retail expert Angela Wang, and in this lab, everything takes place on people's phones. Five hundred million Chinese consumers -- the equivalent of the combined populations of the uS, uK and...

How does bitcoin work? What is a "block chain"? What problem is this system trying to solve, and how does it use the tools of cryptography to do so?

The world-changing promise of synthetic biology and gene editing has a dark side. In this far-seeing talk, author and entrepreneur Rob Reid reviews the risks of a world where more and more people have access to the tools and tech needed...

A visual for derivatives which generalizes more nicely to topics beyond calculus. Thinking of a function as a transformation, the derivative measure how much that function locally stretches or squishes a given region.

During the Soviet Union era, therapy was often used as a tool of political oppression. Since then, Russia has seen major reforms in mental health care -- but stigmas and distrust for the practice still live on. Psychologist and TED...