PBS
The Holographic Universe Explained
The holographic principle emerged from many subtle clues – clues discovered over decades of theoretical exploration of the universe. Over the past several months on Space Time, we’ve seen those close clues, and we’ve built a the...
3Blue1Brown
Cross products in the light of linear transformations | Essence of linear algebra chapter 11
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
Euler's formula with introductory group theory
Euler's formula, e^{pi i} = -1, is one of the most famous expressions in math, but why on earth is this true? A few perspectives from the field of group theory can make this formula a bit more intuitive.
3Blue1Brown
Euler's formula with introductory group theory - Part 1 of 4
Euler's formula, e^{pi i} = -1, is one of the most famous expressions in math, but why on earth is this true? A few perspectives from the field of group theory can make this formula a bit more intuitive.
3Blue1Brown
Dot products and duality | Essence of linear algebra, chapter 7
What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.
3Blue1Brown
Dot products and duality | Essence of linear algebra, chapter 9
What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.
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
What they won't teach you in calculus
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.
3Blue1Brown
Nonsquare matrices as transformations between dimensions | Essence of linear algebra, chapter 8
How do you think about a non-square matrix as a transformation?
3Blue1Brown
e^(iπ) in 3.14 minutes, using dynamics | DE5
A quick explanation of e^(pi i) in terms of motion and differential equations
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
Why is pi here? And why is it squared? A geometric answer to the Basel problem
A beautiful solution to the Basel Problem (1+1/4+1/9+1/16+...) using Euclidian geometry. Unlike many more common proofs, this one makes it very clear why pi is involved in the answer.
3Blue1Brown
Why is pi here? And why is it squared? A geometric answer to the Basel problem
A beautiful solution to the Basel Problem (1+1/4+1/9+1/16+...) using Euclidian geometry. Unlike many more common proofs, this one makes it very clear why pi is involved in the answer.
PBS
Why Computers are Bad at Algebra
The answer lies in the weirdness of floating-point numbers and the computer's perception of a number line.
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
The other way to visualize derivatives
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.
3Blue1Brown
Nonsquare matrices as transformations between dimensions: Essence of Linear Algebra - Part 8 of 15
How do you think about a non-square matrix as a transformation?
3Blue1Brown
What they won't teach you in calculus
A visual for derivatives which generalizes more nicely to topics beyond calculus.
Bozeman Science
Equilibrium
In this video Paul Andersen explains how equilibrium is achieved in a reversible reaction. When the rate of the forward reaction is equal to the rate of the reverse reaction the system is at equilibrium. Graphical analysis of equilibrium...
Bozeman Science
The Reaction Quotient
In this video Paul Andersen explains how the reaction quotient is used to determine the progress of a reversible reaction. The reaction quotient (Q) is the ratio of the concentration of products to the concentration of reactants. The...
Curated Video
The Sardine Run
Witness the action at positive and negative altitudes as predators from above and below hunt millions of sardines off the coast of Africa. Maths - Number A Twig Math Film. Reinforce and extend the learning required by the curriculum....
Curated Video
The Equations and Inequalities: The First Property of the Inequality Relation in N and Z
By the end of this video, the student will be able to: Recognize the first property of the inequality relation in N and Z.9492