3Blue1Brown
Cross products in the light of linear transformations | Essence of linear algebra chapter 8 part 2
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.
3Blue1Brown
Cramer's rule, explained geometrically: Essence of Linear Algebra - Part 12 of 15
This rule seems random to many students, but it has a beautiful reason for being true.
3Blue1Brown
Cross products | Essence of linear algebra, Chapter 10
The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.
Crash Course
Natural Language Processing
So far in this series, we've mostly focused on how AI can interpret images, but one of the most common ways we interact with computers is through language - we type questions into search engines, use our smart assistants like Siri and...
PBS
Can A Starfox Barrel Roll Work In Space?
DO A BARREL ROLL! Or at least, try…? The iconic move from Star Fox seems so easy, just press a button and BOOM. The ship rolls. But HOW? Barrel rolls in atmosphere are easy to execute with the use of ailerons, but in space, it's a...
3Blue1Brown
Inverse matrices, column space and null space: Essence of Linear Algebra - Part 7 of 15
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?
3Blue1Brown
Vectors, what even are they? | Essence of linear algebra, chapter 1
What is a vector? Is it an arrow in space? A list of numbers?
3Blue1Brown
e^(iπ) in 3.14 minutes, using dynamics | DE5
A quick explanation of e^(pi i) in terms of motion and differential equations
SciShow
6 Ways Animals Prevent Epidemics
Humans aren’t the only ones who have to worry about epidemics: meet six other animals who take their own precautions to avoid getting sick! Chapters pathogens 0:40 vectors 1:15 VECTOR AVOIDANCE: BLUEBIRDS 2:19 social immunity 3:35...
3Blue1Brown
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
Divergence, curl, and their relation to fluid flow and electromagnetism
SciShow
Alice Hamilton: The Doctor Who Made Work Safer | Great Minds
During the period of rapid industrialization at the turn of the 20th century, factory jobs were incredibly unsafe. That is, until Dr. Alice Hamilton basically became an investigative reporter to figure out how factories were poisoning...
3Blue1Brown
Cross products in the light of linear transformations: Essence of Linear Algebra - Part 11 of 15
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.
3Blue1Brown
Abstract vector spaces | Essence of linear algebra, chapter 15
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.
3Blue1Brown
Inverse matrices, column space and null space | Essence of linear algebra, chapter 6
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?
3Blue1Brown
Gradient descent, how neural networks learn | Chapter 2, deep learning
An overview of gradient descent in the context of neural networks. This is a method used widely throughout machine learning for optimizing how a computer performs on certain tasks.
SciShow
What If We Killed All the Mosquitoes?
With the Zika virus in the news, some people have wondered why we don't just kill them ALL.
3Blue1Brown
Dot products and duality: Essence of Linear Algebra - Part 9 of 15
What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.
3Blue1Brown
Understanding e to the i pi: Differential Equations - Part 5 of 5
A quick explanation of e^(pi i) in terms of motion and differential equations
3Blue1Brown
Nonsquare matrices as transformations between dimensions | Essence of linear algebra, footnote
How do you think about a non-square matrix as a transformation?
3Blue1Brown
Vectors, what even are they? Essence of Linear Algebra - Part 1 of 15
What is a vector? Is it an arrow in space? A list of numbers?
3Blue1Brown
Change of basis | Essence of linear algebra, chapter 9
What is a change of basis, and how do you do it?
SciShow
Why Can't I Get Rid of This Cowlick?
You or someone you know may have struggled to get a cowlick to just stay down already, but you can take solace in the fact that these inconvenient hair tufts have a lot to teach us about the world around us.
3Blue1Brown
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
Intuitions for divergence and curl, and where they come up in physics.