Geometric Algebra - The Matrix Representation of a Linear Transformation
In this video, we will show how matrices as computational tools may conveniently represent the action of a linear transformation upon a given basis. We will prove that conventional matrix operations, particularly matrix multiplication, conform to the composition of linear transformations.
From playlist Geometric Algebra
Learn about the geometric mean of numbers. The geometric mean of n numbers is the nth root of the product of the numbers. To find the geometric mean of n numbers, we first multiply the numbers and then take the nth root of the product.
From playlist Geometry - GEOMETRIC MEAN
Adding Vectors Geometrically: Dynamic Illustration
Link: https://www.geogebra.org/m/tsBer5An
From playlist Trigonometry: Dynamic Interactives!
Working with lenses, trying to visualize refractive indices. Things are going well-ish. -- Watch live at https://www.twitch.tv/simuleios
From playlist Geometrical Optics
Messing with Mona: Introduction to Geometric Transformations
Link: https://www.geogebra.org/m/KFtdRvyv
From playlist Geometry: Dynamic Interactives!
Geometric Algebra - Linear Transformations, Outermorphism, and the Determinant
In this video, we will review some basic concepts from linear algebra, such as the linear transformation, prove important theorems which ground matrix operations, extend the linear transformation on vectors to higher-graded elements to bivectors and trivectors, and define the determinant o
From playlist Geometric Algebra
A solar system, a simulation made with Excel
An Excel simulation of the solar system. You can see how things are recursively computed: the mutual gravity force from the locations, the accelerations, the velocities, and finally the updated locations. The solar eclipse is also shown. This is clip is intended to illustrate Chapter 24 Ap
From playlist Physics simulations
What is Math Modeling? Video Series Part 5: Getting a Solution
Mathematical modeling uses math to represent, analyze, make predictions, or otherwise provide insight into real world phenomena. This episode, number five in this new seven-part series, guides you through the process of finding a solution to your mathematical model. Here’s where you’ll fi
From playlist M3 Challenge
Using the geometric mean to determine the missing parts of a triangle
Learn about the geometric mean of numbers. The geometric mean of n numbers is the nth root of the product of the numbers. To find the geometric mean of n numbers, we first multiply the numbers and then take the nth root of the product.
From playlist Geometry - GEOMETRIC MEAN
Emily Stark: Action rigidity for free products of hyperbolic manifold groups
CIRM VIRTUAL EVENT Recorded during the meeting"Virtual Geometric Group Theory conference " the May 22, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM
From playlist Virtual Conference
what is your mental model of math?
Most people rarely, if ever, think about their mental models but having a good mental model about a subject enables the development of expertise in that subject. This video proposes a mental model about an area of mathematics. The model is actionable, simple, and hierarchical. Contents: 0
From playlist Summer of Math Exposition 2 videos
Matthias Hutzler - Gluing classifying toposes
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/
From playlist Toposes online
Quantization By Branes And Geometric Langlands Lecture 2 by Edward Witten
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 Pan
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)
Laurent Lafforgue - 3/4 Classifying toposes of geometric theories
Course at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/LafforgueSlidesToposesOnline.pdf The purpose of these lectures will be to present the theory of classifying topose
From playlist Toposes online
Lecture 1: Invitation to topos theory
This talk introduces the motivating question for this semester of the Curry-Howard seminar, which is how to organise mathematical knowledge using topoi. The approach sketched out in the talk is via first-order theories, their associated classifying topoi, and adjoint pairs of functors betw
From playlist Topos theory seminar
First look at PyTorch Geometric: PyG 2.0 (Nov 2021)
Discover together with me PyTorch Geometric (v2). PyG to code and train Graph Neural Networks (GNNs) for applications w/ graph structured data. Various methods for deep learning on graphs, also known as geometric deep learning, from a variety of published papers (see Arxiv for AI, GNN, GC
From playlist Learn Graph Neural Networks: code, examples and theory
On Finite Types That Are Not h-Sets - Sergey Melikhov
Sergey Melikhov Steklov Mathematical Institute; Member, School of Mathematics February 14, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
Ming Ng - Adelic Geometry via Topos Theory
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/NgSlidesToposesOnline.pdf Joint work with Steve Vickers In this talk, I will give a leisurely introduction to the t
From playlist Toposes online
Visualizing Solutions to Linear Systems - - 2D & 3D Cases Geometrically
Description: We look at the geometric picture given by systems of linear equations. In particular, we will be able to: *Sketch what the solution to a SINGLE 2D or 3D linear equation looks like (including special cases like 0x+0y=0) * Sketch the solution to a system or 2D or 3D linear equat
From playlist Linear Algebra (Full Course)
Gauge Theory and the Analytic Approach to Geometric Langlands - Edward Witten
Clay Research Conference Topic: Gauge Theory and the Analytic Approach to Geometric Langlands Speaker: Edward Witten Affiliation: Professor, School of Natural Sciences Date: September 30, 2021 Recently P. Etingof, E. Frenkel, and D. Kazhdan, following earlier contributions by R. Langl
From playlist Mathematics