What is General Relativity? Lesson 8: Intro to the metric connection and the induced metric.
This lesson is an introduction to the concept of the metric connection followed by a long exercise in classical differential geometry. It is a long lesson because I complete a full example: the derivation of the metric of the "glome" induced by the Euclidean metric of 4-dimensional space.
From playlist What is General Relativity?
Using Dimensional Analysis to Find the Units of a Constant
This video shows you how to use dimensional analysis to find the units for constants in physics and chemistry equations. For example, why are the units for the gravitational constant (G) newtons, meters squared over kilograms squared. Dimensional analysis in physics is an important tool t
From playlist Metric Units
Introduction to Metric Spaces - Definition of a Metric. - The metric on R - The Euclidean Metric on R^n - A metric on the set of all bounded functions - The discrete metric
From playlist Topology
Momentum (1 of 16) An Explanation
This video gives a complete explanation of momentum. It also includes an example momentum problem. Momentum is a quantity of matter arising from its mass and velocity. The momentum of an object is directly proportional to its mass and velocity. Momentum is a vector quantity. Impulse is th
From playlist Momentum, Impulse, Inelastic and Elastic Collisions
We introduce the idea of dimensional analysis and its use in finding unknown quantities' dependence on relevant dimensionful variables.
From playlist Mathematical Physics I Uploads
Ex: Metric Conversions Using Unit Fractions - Length
This video provides three examples of how to perform metric conversions involving length using unit fractions. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Unit Conversions: Metric Units
What is General Relativity? Lesson 68: The Einstein Tensor
What is General Relativity? Lesson 68: The Einstein Tensor The Einstein tensor defined! Using the Ricci tensor and the curvature scalar we can calculate the curvature scalar of a slice of a manifold using the Einstein tensor. Please consider supporting this channel via Patreon: https:/
From playlist What is General Relativity?
Introduction to Metric Conversions
This video explains how to perform metric conversions using unit fractions and a table. http://mathispower4u.com
From playlist Unit Conversions: Metric Units
Helvi Witek - Tutorial: 3+1 decomposition with xTensor - IPAM at UCLA
Recorded 20 September 2021. Helvi Witek of the University of Illinois presents "Tutorial: 3+1 decomposition with xTensor" at IPAM's Mathematical and Computational Challenges in the Era of Gravitational Wave Astronomy Tutorial. Abstract: The open-source xAct suite is a powerful tool for ten
From playlist Tutorials: Math & Computational Challenges in the Era of Gravitational Wave Astronomy
Pawel Grzegrzolka - Asymptotic dimension of fuzzy metric spaces
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Pawel Grzegrzolka, Stanford University Title: Asymptotic dimension of fuzzy metric spaces Abstract: In this talk, we will discuss asymptotic dimension of fuzzy metric spaces. After a short introduction to fuzzy metric spac
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
Riemannian Geometry - Examples, pullback: Oxford Mathematics 4th Year Student Lecture
Riemannian Geometry is the study of curved spaces. It is a powerful tool for taking local information to deduce global results, with applications across diverse areas including topology, group theory, analysis, general relativity and string theory. In these two introductory lectures
From playlist Oxford Mathematics Student Lectures - Riemannian Geometry
Dieter Rautenbach: Restricted types of matchings
Abstract: We present new results concerning restricted types of matchings such as uniquely restricted matchings and acyclic matchings, and we also consider the corresponding edge coloring notions. Our focus lies on bounds, exact and approximative algorithms. Furthermore, we discuss some ma
From playlist Combinatorics
Metric space definition and examples. Welcome to the beautiful world of topology and analysis! In this video, I present the important concept of a metric space, and give 10 examples. The idea of a metric space is to generalize the concept of absolute values and distances to sets more gener
From playlist Topology
Jialong Deng - Enlargeable Length-structures and Scalar Curvatures
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Jialong Deng, University of Goettingen Title: Enlargeable Length-structures and Scalar Curvatures Abstract: We define enlargeable length-structures on closed topological manifolds and then show that the connected sum of a
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
MAST30026 Lecture 6: Topological spaces
In this lecture I defined topological spaces and continuous maps, explained how any metric space gives rise to a topological space, and proved that epsilon-delta continuity for functions between metric spaces agrees with the new notion of continuity. Lecture notes: http://therisingsea.org
From playlist MAST30026 Metric and Hilbert spaces
Rod Gover - An introduction to conformal geometry and tractor calculus (Part 3)
After recalling some features (and the value of) the invariant « Ricci calculus » of pseudo‐Riemannian geometry, we look at conformal rescaling from an elementary perspective. The idea of conformal covariance is visited and some covariant/invariant equations from physics are recovered in
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Oliver Vipond (4/8/20): Local equivalence of metrics for multiparameter persistence modules
Title: Local equivalence of metrics for multiparameter persistence modules Abstract: An ideal invariant for multiparameter persistence should be discriminative, computable and stable. In this work we analyse the discriminative power of a stable, computable invariant of multiparameter pers
From playlist AATRN 2020
Helvi Witek - Introduction to Numerical Relativity, Part 1 of 2 - IPAM at UCLA
Recorded 14 September 2021. Helvi Witek of the University of Illinois presents "Introduction to Numerical Relativity" at IPAM's Mathematical and Computational Challenges in the Era of Gravitational Wave Astronomy Tutorial. This is the first of two parts of Helvi's presentation. Abstract: I
From playlist Tutorials: Math & Computational Challenges in the Era of Gravitational Wave Astronomy
Momentum (3 of 16) Impulse, An Explanation
This video describes the relationship between momentum and impulse. A derivation of the momentum impulse equation is included as well as one example to help explain the relationship between impulse and momentum. If you apply a force over a period of time, then you will change the velocity
From playlist Momentum, Impulse, Inelastic and Elastic Collisions
Lecture 12: Smooth Surfaces I (Discrete Differential Geometry)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg
From playlist Discrete Differential Geometry - CMU 15-458/858