Crash Course
Degrees of Freedom and Effect Sizes - Crash Course Statistics
Today we're going to talk about degrees of freedom - which are the number of independent pieces of information that make up our models. More degrees of freedom typically mean more concrete results. But something that is statistically...
3Blue1Brown
How secure is 256 bit security? Cryptocurrency - Part 2 of 2
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?
TED-Ed
TED-ED: The Infinite Hotel Paradox - Jeff Dekofsky
The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with an infinite number of rooms. Easy to comprehend, right? Wrong. What if it's completely booked but one person wants to check in? What...
3Blue1Brown
What is backpropagation really doing? | Chapter 3, deep learning
An overview of backpropagation, the algorithm behind how neural networks learn.
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What they won't teach you in calculus
A visual for derivatives which generalizes more nicely to topics beyond calculus.
3Blue1Brown
What does area have to do with slope? Essence of Calculus - Part 9 of 11
Derivatives are about slope, and integration is about area. These ideas seem completely different, so why are they inverses?
3Blue1Brown
The determinant | Essence of linear algebra, chapter 5
The determinant has a very natural visual intuition, even though it's formula can make it seem more complicated than it really is.
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Inverse matrices, column space and null space | Essence of linear algebra, chapter 7
How do you think about the column space and null space of a matrix visually? How do you think about the inverse of a matrix?
TED-Ed
TED-ED: Cannibalism in the animal kingdom - Bill Schutt
Until recently, scientists thought cannibalism was a rare response to starvation or other extreme stress. Well-known cannibals like the praying mantis and black widow were considered bizarre exceptions. But now, we know they more or less...
3Blue1Brown
Three-dimensional linear transformations | Essence of linear algebra, footnote
How to think of 3x3 matrices as transforming 3d space
3Blue1Brown
Linear combinations, span, and basis vectors | Essence of linear algebra, chapter 2
Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.
TED-Ed
TED-Ed: The unexpected math behind Van Gogh's "Starry Night" - Natalya St. Clair
Physicist Werner Heisenberg said, "When I meet God, I am going to ask him two questions: why relativity? And why turbulence? I really believe he will have an answer for the first." As difficult as turbulence is to understand...
Crash Course
ANOVA Part 2 Dealing with Intersectional Groups - Crash Course Statistics
Do you think a red minivan would be more expensive than a beige one? Now what if the car was something sportier like a corvette? Last week we introduced the ANOVA model which allows us to compare measurements of more than two groups, and...
TED-Ed
TED-Ed: Can you solve the frog riddle? - Derek Abbott
You're stranded in a rainforest, and you've eaten a poisonous mushroom. To save your life, you need an antidote excreted by a certain species of frog. Unfortunately, only the female frog produces the antidote. The male and female look...
3Blue1Brown
Visualizing the Riemann zeta function and analytic continuation
What is the Riemann zeta function? What is analytic continuation? This video lays out the complex analysis needed to answer these questions.
3Blue1Brown
Triangle of Power
Logarithms are confusing, but perhaps some alternate notation could make them more intuitive.
3Blue1Brown
Three-dimensional linear transformations | Essence of linear algebra, chapter 5
How to think of 3x3 matrices as transforming 3d space
TED-Ed
TED-Ed: Can you solve "Einstein's Riddle"? - Dan Van der Vieren
Before he turned physics upside down, a young Albert Einstein supposedly showed off his genius by devising a complex riddle involving a stolen exotic fish and a long list of suspects. Can you resist tackling a brain teaser written by one...
3Blue1Brown
Binary, Hanoi, and Sierpinski - Part 2 of 2
How counting in Ternary can solve a variant of the Tower's of Hanoi puzzle, and how this gives rise to a beautiful connection to Sierpinski's triangle.
3Blue1Brown
Bayes theorem
A visual way to think about Bayes' theorem, together with discussion on what makes the laws of probability more intuitive.
Crash Course
Mean, Median, and Mode Measures of Central Tendency - Crash Course Statistics
Today we’re going to talk about measures of central tendency - those are the numbers that tend to hang out in the middle of our data: the mean, the median, and mode. All of these numbers can be called “averages” and they’re the numbers...
3Blue1Brown
Limits, L'Hopital's rule, and epsilon delta definitions: Essence of Calculus - Part 7 of 11
What are limits? How are they defined? How are they used to define the derivative? What is L'Hospital's rule?
3Blue1Brown
Visualizing the Riemann hypothesis and analytic continuation
What is the Riemann zeta function? What is analytic continuation? This video lays out the complex analysis needed to answer these questions.