In differential geometry, an Ehresmann connection (after the French mathematician Charles Ehresmann who first formalized this concept) is a version of the notion of a connection, which makes sense on any smooth fiber bundle. In particular, it does not rely on the possible vector bundle structure of the underlying fiber bundle, but nevertheless, linear connections may be viewed as a special case. Another important special case of Ehresmann connections are principal connections on principal bundles, which are required to be equivariant in the principal Lie group action. (Wikipedia).
A quantum Ehrenfest model, in 3D
This is a 3D rendering of a solution of Schrödinger's equation in an Ehrenfest-urns-like configuration, similar to the 2D rendering https://youtu.be/AymX67nEdOo The classical Ehrenfest urn model is a simplified model of a gas contained in two communicating containers, introduced in 1907 b
From playlist Schrödinger's equation
A quantum Ehrenfest model in 3D, shooting straight at the channel
This is the obligatory variant of the video https://youtu.be/4hCrR3_zxJY showing a quantum particle in an Ehrenfest urns-type configuration, in which the initial state is a wave packet aimed directly at the channel connecting the urns. We have seen a 2D version of this situation in the vid
From playlist Schrödinger's equation
An invitation to higher Teichmüller theory – Anna Wienhard – ICM2018
Geometry Invited Lecture 5.11 An invitation to higher Teichmüller theory Anna Wienhard Abstract: Riemann surfaces are of fundamental importance in many areas of mathematics and theoretical physics. The study of the moduli space of Riemann surfaces of a fixed topological type is intimatel
From playlist Geometry
Geometric structures and representations of discrete groups – Fanny Kassel – ICM2018
Topology Invited Lecture 6.10 Geometric structures and representations of discrete groups Fanny Kassel Abstract: We describe recent links between two topics: geometric structures on manifolds in the sense of Ehresmann and Thurston, and dynamics “at infinity” for representations of discre
From playlist Topology
Projective structures on Riemann surfaces and their monodromy by Subhojoy Gupta
Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio
From playlist Higgs Bundles
What is an angle and it's parts
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
Albert Einstein, Holograms and Quantum Gravity
In the latest campaign to reconcile Einstein’s theory of gravity with quantum mechanics, many physicists are studying how a higher dimensional space that includes gravity arises like a hologram from a lower dimensional particle theory. Read about the second episode of the new season here:
From playlist In Theory
What is the connection between vectors and equations of planes? Find out here! Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Test your understanding via a short quiz http://goo.gl/forms/ZTQ0pvOq1q
From playlist Introduction to Vectors
We discuss Hossenfelder's recent papers on Quantum Mechanics frameworks, see https://arxiv.org/search/?searchtype=author&query=Hossenfelder Here's my notes while reading the paper, links are found at the beginning of it https://gist.github.com/Nikolaj-K/37faa8a7a7afb5fa376ee09ebba0a545
From playlist Physics
👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships From a Figure
0049 - Programming: C++ Web Client
This is #49 in my series of live (Twitch) coding streams, working on writing my own web server and service framework in C++. This stream I finished writing Http::Client, the class which can be used to send requests and receive back responses from web servers. This is in preparation for m
From playlist Excalibur
PrepTest 4 Game 4: Ski Chalet Mapping Game // Logic Games [#16] [LSAT Analytical Reasoning]
This is the fourth and final game of the February 1992 LSAT. It's a mapping game, but even more than that, it's a great example of a game where you are *given* the diagram you need to answer the questions. Nearly any time you are given the diagram up front, it's best to use theirs rather t
From playlist LSAT Games
Graphs - Intro (Tutorial 6) Decision 1 EDEXCEL A-Level
Powered by https://www.numerise.com/ This video is a tutorial on Graph Theory (for Decision 1 Math A-Level. All the definitions are included here and all the meaning of each e.g. graph theory, graphs, simple graphs, loops, multiarcs, digraphs, paths, walks, cycles, edges, vertices, nodes,
From playlist Decision 1: Edexcel A-Level Maths Full Course
Intro to connectivity, volume conduction, and time- vs. trial-based connectivity
This lecturelet will introduce you to four considerations to keep in mind when performing or evaluating functional connectivity analyses with EEG/LFP data. For more online courses about programming, data analysis, linear algebra, and statistics, see http://sincxpress.com/
From playlist OLD ANTS #7) Connectivity
Networking in C++ Part #2: MMO Client/Server, ASIO, Sockets & Connections
In this video we get down to the business of transferring data between a server and multiple clients. The framework abstracts away the need to worry about how ASIO actually does its thing, and leaves us with a simple to customise client and server interface. It's enough to start tinkering
From playlist Interesting Programming
Lecture 20 - Trees and Connectivity
This is Lecture 20 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2020.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
Chandra Chekuri: On element connectivity preserving graph simplification
Chandra Chekuri: On element-connectivity preserving graph simplification The notion of element-connectivity has found several important applications in network design and routing problems. We focus on a reduction step that preserves the element-connectivity due to Hind and Oellerman which
From playlist HIM Lectures 2015
What are the Angle Relationships for Parallel Lines and a Transversal
👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
Vertex Connectivity of a Graph | Connectivity, K-connected Graphs, Graph Theory
What is vertex connectivity in graph theory? We'll be going over the definition of connectivity and some examples and related concepts in today's video graph theory lesson! The vertex connectivity of a graph is the minimum number of vertices you can delete to disconnect the graph or make
From playlist Graph Theory