TED-Ed
TED-Ed: How people rationalize fraud - Kelly Richmond Pope
If you ask people whether they think stealing is wrong, most of them would answer yes. And yet, in 2013, organizations all over the world lost an estimated total of $3.7 trillion to fraud. Kelly Richmond Pope explains how the fraud...
TED-Ed
TED-Ed: Why are manhole covers round? - Marc Chamberland
Why are most manhole covers round? Sure it makes them easy to roll, and slide into place in any alignment. But there's another, more compelling reason, involving a peculiar geometric property of circles and other shapes. Marc Chamberland...
3Blue1Brown
Pure Fourier series animation montage
A montage of "fourier series" drawings, in which the sum of many rotated vectors traces an image
TED-Ed
TED-Ed: The last banana: A thought experiment in probability - Leonardo Barichello
Imagine a game played with two players and two dice: if the biggest number rolled is one, two, three, or four, player 1 wins. If the biggest number rolled is five or six, player 2 wins. Who has the best probability of winning the game?...
3Blue1Brown
Matrix multiplication as composition: Essence of Linear Algebra - Part 4 of 15
How to think about matrix multiplication visually as successively applying two different linear transformations.
TED-Ed
TED-Ed: Is time travel possible? - Colin Stuart
Time travel is a staple of science fiction stories, but is it actually possible? It turns out nature does allow a way of bending time, an exciting possibility suggested by Albert Einstein when he discovered special relativity over one...
TED-Ed
TED-ED: A brief history of banned numbers - Alessandra King
They say the pen is mightier than the sword, and authorities have often agreed. From outlawed religious tracts and revolutionary manifestos to censored and burned books, we know the potential power of words to overturn the social order....
PBS
Splitting Rent with Triangles
You can find out how to fairly divide rent between three different people even when you don't know the third person's preferences! Find out how with Sperner's Lemma.
3Blue1Brown
Linear transformations and matrices | Essence of linear algebra, chapter 3
When you think of matrices as transforming space, rather than as grids of numbers, so much of linear algebra starts to make sense.
3Blue1Brown
But why is a sphere's surface area four times its shadow?
Two proofs for the surface area of a sphere
3Blue1Brown
Implicit differentiation, what's going on here? | Essence of calculus, chapter 6
How to think about implicit differentiation in terms of functions with multiple inputs, and tiny nudges to those inputs.
TED-Ed
TED-Ed: A brief history of numerical systems - Alessandra King
1, 2, 3, 4, 5, 6, 7, 8, 9 and 0. With just these ten symbols, we can write any rational number imaginable. But why these particular symbols? Why ten of them? And why do we arrange them the way we do? Alessandra King gives a brief history...
PBS
Dissecting Hypercubes with Pascal's Triangle
What does the inside of a tesseract look like? Pascal's Triangle can tell us.
TED Talks
Leila Pirhaji: The medical potential of AI and metabolites
Many diseases are driven by metabolites -- small molecules in your body like fat, glucose and cholesterol -- but we don't know exactly what they are or how they work. Biotech entrepreneur and TED Fellow Leila Pirhaji shares her plan to...
TED-Ed
TED-Ed: How to squeeze electricity out of crystals - Ashwini Bharathula
It might sound like science fiction, but if you press on a crystal of sugar, it will actually generate its own electricity. This simple crystal can act like a tiny power source because sugar happens to be piezoelectric. Ashwini...
TED-Ed
TED-Ed: Can you solve the time travel riddle? - Dan Finkel
Your professor has accidentally stepped through a time portal in his physics lab. You’ve got just a minute to jump through before it closes and leaves him stranded in history. Your only way back is to grab enough colored nodules to...
3Blue1Brown
Euler's Formula Poem - Pat 3 of 4
A silly poem encapsulating the ideas from the video about Euler's formula through graph theory.
3Blue1Brown
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
Divergence, curl, and their relation to fluid flow and electromagnetism
TED-Ed
TED-ED: The real story behind Archimedes' Eureka! - Armand D'Angour
When you think of Archimedes' Eureka moment, you probably imagine a man in a bathtub, right? As it turns out, there's much more to the story. Armand D'Angour tells the story of Archimedes' biggest assignment -- an enormous floating...
Crash Course
T-Tests A Matched Pair Made in Heaven - Crash Course Statistics
Today we're going to walk through a couple of statistical approaches to answer the question: "is coffee from the local cafe, Caf-fiend, better than that other cafe, The Blend Den?" We'll build a two sample t-test which will tell us how...
TED-Ed
TED-ED: Can you solve the three gods riddle? - Alex Gendler
You and your team have crash-landed on an ancient planet. Can you appease the three alien overlords who rule it and get your team safely home? Created by logician Raymond Smullyan, and popularized by his colleague George Boolos, this...
PBS
Can We Combine pi & e to Make a Rational Number?
Can you produce a rational number by exchanging infinitely many digits of pi and e?
TED-Ed
TED-Ed: Can you find the next number in this sequence? - Alex Gendler
1, 11, 21, 1211, 111221. These are the first five elements of a number sequence. Can you figure out what comes next? Alex Gendler reveals the answer and explains how beyond just being a neat puzzle, this type of sequence has practical...
TED-Ed
TED-ED: The coin flip conundrum - Po-Shen Loh
When you flip a coin to make a decision, there's an equal chance of getting heads and tails. But what if you flip the coin repeatedly, so that one option would win as soon as two heads showed up in a row, and another would win as soon as...