In quantum world things are routinely in multiple states at once - what we call a “superposition” of states. But in the classical world of large scales, things are either this or that. The famous thought experiment is Schrodinger’s cat -...

Quantum computing is cool, but you know what would be extra awesome - a quantum internet. In fact if we want the first we’ll need the latter. And the first step to the quantum internet is quantum cryptography.

Modern life runs on wireless technology. What if the energy powering our devices could also be transmitted without wires? Electrical engineer Ali Hajimiri explains the principles behind wireless energy transfer and shares his far-out...

Book:The Clinton Tapes: Wrestling History with the President

Eigenvalues and eigenvectors are one of the most important ideas in linear algebra, but what on earth are they?

What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.

Eigenvalues and eigenvectors are one of the most important ideas in linear algebra, but what on earth are they?

How to think of 3x3 matrices as transforming 3d space

What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.

What is a change of basis, and how do you do it?

What is a change of basis, and how do you do it?

The year was 1776. In Bavaria, new ideals of rationalism, religious freedom and universal human rights competed with the Catholic church's heavy influence over public affairs. Adam Weishaupt, a law professor frustrated with the Church's...

The combined market capitalization of Amazon, Apple, Facebook and Google is now equivalent to the GDP of India. How did these four companies come to infiltrate our lives so completely? In a spectacular rant, Scott Galloway shares...

Eigenvalues and eigenvectors are one of the most important ideas in linear algebra, but what on earth are they?

What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.

Statistics! They're every scientist's friend. But they can be easy to misinterpret. Check out this thought exercise with Hank to understand how some mental kung fu known as Bayesian reasoning can use stats to draw some downright...

Your plan to set up your friend Carey with your acquaintance Emerson is finally coming together. You've made them a dinner reservation, but suddenly realize that there's a problem: Carey is always late. You really want this relationship...

How do you think about a non-square matrix as a transformation?

How do you teach an entire country how to vote when no one has done it before? It's a huge challenge facing fledgling democracies around the world -- and one of the biggest problems turns out to be a lack of shared language. After all,...

What is a change of basis, and how do you do it?

Trust is on the decline, and we need to rebuild it. That's a commonly heard suggestion for making a better world ... but, says philosopher Onora O'Neill, we don't really understand what we're suggesting. She flips the question, showing...

Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.

How to think of 3x3 matrices as transforming 3d space

Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.