Math of the twisting somersault
Mathematical models can be used to obtain an understanding of the mechanics of twists during somersaults. The twisting somersault can be described by a formula, which factors in the airborne time of the diver, the time spent in various stages of the dive, the number of somersaults, the num
From playlist What is math used for?
Physics, Torque (1 of 13) An Explanation
Explains what torque is, the definition, how it is described and the metric units. Also presented are two examples of how to calculate the torque produced by a force. Torque is a turning force. It is a measure of how much force acting on an object that causes the object to rotate. The ob
From playlist Mechanics
Linear differential equations: how to solve
Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook How to solve linear differential equations. In mathematics, linear differential equations are differential equations having differential equation solutions which can be added together to form other solutions.
From playlist A second course in university calculus.
Vector Calculus: Understanding Curl
Some formal and informal intuition regarding curl, a vector calculus concept.
From playlist Summer of Math Exposition Youtube Videos
In this video, I define the concept of a winding number of a curve around a point, which intuitively measures how many times a curve loops around a point. For example, for a circle (or any simple closed curve), the winding number should be 1, but for the curve in the thumbnail, the winding
From playlist Multivariable Calculus
What is an arithmetic sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
What is the alternate in sign sequence
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Alissa S. Crans - Twisty Mazes - CoM Apr 2021
Looking for a new direction to take your affinity for twisty puzzles? The KO Labyrinth seeks to marry the Rubik’s cube with a three-dimensional rolling marble maze as a colorful spherical puzzle with 26 chambers. Holes in the faces of the chambers allow a small ball to pass when aligned co
From playlist Celebration of Mind 2021
Visual Group Theory, Lecture 1.1: What is a group?
Visual Group Theory, Lecture 1.1: What is a group? In this lecture, we will introduce the concept of a group using the famous Rubik's cube. The formal definition will be given later, in Lecture 1.5. For now, we just want to provide the intuition. Course webpage (with lecture notes, HW, e
From playlist Visual Group Theory
Pythagoras twisted squares: Why did they not teach you any of this in school?
A video on the iconic twisted squares diagram that just about anybody who knows anything about mathematics has been familiar with since primary school. Surprisingly, there is a LOT more to this diagram than even expert mathematicians are aware of. And lots of this LOT is really really beau
From playlist Recent videos
What are Angles, Types of Angles and Estimating Angles
"Identify the type of different angles."
From playlist Shape: Angles
Philsang Yoo: Langlands duality and quantum field theory
Abstract: It is believed that certain physical duality underlies various versions of Langlands duality in its geometric incarnation. By setting up a mathematical model for relevant physical theories, we suggest a program that enriches mathematical subjects such as geometric Langlands theor
From playlist Algebra
Jie Wu (7/25/22): Topological Approaches to Graph Data
Abstract: In this talk, we will discuss some topological approaches to graph data beyond classical persistent homology, including path homology and $\delta$-homology introduced by S. T. Yau et al, and their generalizations such as hypergraph homology, weighted persistent homology, and twis
From playlist Applied Geometry for Data Sciences 2022
Karl Schaffer - Kinesthetic Conundrums - CoM Sept 2021
Karl Schaffer is a dancer/choreographer and mathematician who has co-directed the Dr. Schaffer and Mr. Stern Dance Ensemble with Erik Stern since 1987. Schaffer has written widely on dance and mathematics, and his choreographic work often integrates the two disciplines. His recent concerts
From playlist Celebration of Mind 2021
Complex numbers & basic calculations. Chris Tisdell UNSW Sydney
This is a basic video on the operations and calculations with complex numbers like division and multiplication. By using an example I show how to simplfy expressions involving complex numbers. Such ideas are seen in high-school and first-year university mathematics. Complex numbers ar
From playlist A First Course in University Mathematics Revision Videos
Unexpected Shapes (Part 1) - Numberphile
Tadashi Tokieda cuts various combinations of loops and Mobius loops - with surprising results. More links & stuff in full description below ↓↓↓ Part 2: https://youtu.be/mh3eMt09EAs And more: http://bit.ly/tadashi_vids Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE
From playlist Tadashi Tokieda on Numberphile
Dirac's belt trick, Topology, and Spin ½ particles
ANSWERS TO FREQUENTLY ASKED QUESTIONS: https://scholar.harvard.edu/files/noahmiller/files/dirac_belt_trick_faq.pdf This is my submission to 3Blue1Brown's "Summer of Math Exposition 1" #SoME1. In this video, I explain what Dirac's famous belt trick has to do with the topology of rotating s
From playlist Summer of Math Exposition Youtube Videos
The Girl with the Hyperbolic Helicoid Tattoo - Numberphile
Sabetta Matsumoto explains her mathematical tattoo. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ Sabetta's Twitter: https://twitter.com/sabetta_ And her group's webpage at Georgia Tec
From playlist Women in Mathematics - Numberphile
Polynomials - Short Revision || CBSE Class 10 Mathematics || Infinity Learn Class 9&10
A polynomial is a mathematical expression that involves variables raised to powers and combined using addition, subtraction, and multiplication operations. The variables in a polynomial can represent any kind of quantity, such as numbers, variables, or even complex expressions. Polynomial
From playlist Short Revision || Mathematics || Infinity Learn Class 9&10
Geometric Langlands and 3d Mirror Symmetry (Lecture 1) by Sam Raskin
Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)