3Blue1Brown
Sneaky Topology | The Borsuk-Ulam theorem and stolen necklaces: Topology - Part 3 of 3
Solving a discrete math puzzle, namely the stolen necklace problem, using topology, namely the Borsuk Ulam theorem
3Blue1Brown
Who (else) cares about topology? Stolen necklaces and Borsuk-Ulam
How a famous theorem in topology, the Borsuk-Ulam theorem, can be used to solve a counting puzzle that seems completely distinct from topology.
3Blue1Brown
Who (else) cares about topology? Stolen necklaces and Borsuk-Ulam: Topology - Part 2 of 3
How a famous theorem in topology, the Borsuk-Ulam theorem, can be used to solve a counting puzzle that seems completely distinct from topology.
3Blue1Brown
The hardest problem on the hardest test
A geometry/probability question on the Putnam, a famously hard test, about a random tetrahedron in a sphere. This offers an opportunity not just for a lesson about the problem, but about problem-solving tactics in general.
3Blue1Brown
The hardest problem on the hardest test
A geometry/probability question on the Putnam, a famously hard test, about a random tetrahedron in a sphere. This offers an opportunity not just for a lesson about the problem, but about problem-solving tactics in general.
3Blue1Brown
Who (else) cares about topology? Stolen necklaces and Borsuk-Ulam
How a famous theorem in topology, the Borsuk-Ulam theorem, can be used to solve a counting puzzle that seems completely distinct from topology.
PBS
White Holes
Lurking in the depths of the mathematics of Einstein's general relativity is an object even stranger than the mysterious black hole. In fact it's the black hole's mirror twin, the white hole. Some even think that these could be the...
3Blue1Brown
Sneaky Topology (The Borsuk-Ulam theorem)
Solving a discrete math puzzle, namely the stolen necklace problem, using topology, namely the Borsuk Ulam theorem
3Blue1Brown
Sneaky Topology | The Borsuk-Ulam theorem and stolen necklaces
Solving a discrete math puzzle, namely the stolen necklace problem, using topology, namely the Borsuk Ulam theorem
Crash Course
Geometric Optics: Crash Course Physics
LIGHT! Let's talk about it today. Sunlight, moonlight, torchlight, and flashlight. They all come from different places, but they’re the very same thing: light! It’s what makes it possible for us to see the world around us, so it’s worth...
Curated Video
The Line of Symmetry
Mr. Addit explains the line of symmetry, and examines a variety of plane shapes to find lines of symmetry.
Curated Video
The Tactical Masterpiece of Cannae: Hannibal's Triumph and Rome's Devastating Defeat
This video provides a detailed and vivid account of the Battle of Cannae, a significant military engagement between the Roman Republic and Carthaginian forces led by Hannibal in 216 BC. The transcript walks the viewer through the...
Brian McLogan
Quick Trigonometric Functions Review
In this video we are going to explore trigonometric functions and how we can use them to find the missing sides of right triangles. ⭐️ Quick Special Right Triangles Review - • Quick Special Right Triangles Review ⭐️ Quick Inverse...
Curated Video
Trigonometry and the Unit Circle
This video will explain trigonometric functions and how to use them with the unit circle.
Curated Video
Additive Area Word Problems
The video “Additive Area Word Problems” demonstrates how to decompose an irregular shape into rectangles to find total areas.
Catalyst University
Carbohydrate Structure Beta vs Alpha Configuration
Carbohydrate Structure Beta vs Alpha Configuration
Curated Video
Finding the Surface Area of a Complex Shape Using Multiplication
In this lesson, students will learn how to find the surface area of a complex shape, specifically a swimming pool, by using multiplication. They will review the properties of a rectangle and apply their knowledge to find missing...
Brian McLogan
Evaluating the difference of two angles for the cosine function
👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...
NASA
The Invisible Network: 09. Lobes | NASA's The Invisible Network Podcast
Spacecraft near Earth have long relied on GPS signals for navigation, just as users on the ground might use their phones to navigate the highways. Farther away, navigation — and the math behind it — becomes a great deal more challenging.
Brian McLogan
Given a point find the six trigonometric functions
👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...
Brian McLogan
Evaluating the composition of Functions using Right Triangles
👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function,...
Curated Video
Proving the Pythagorean Theorem Using Similarity
In this lesson, students will learn how to prove the Pythagorean theorem using similarity. By investigating and following a series of steps, they will discover that by cutting a right triangle and drawing altitudes, they can create...
Zach Star
These changed how I think about higher dimensions
These changed how I think about higher dimensions