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Annulus (mathematics)

In mathematics, an annulus (plural annuli or annuluses) is the region between two concentric circles. Informally, it is shaped like a ring or a hardware washer. The word "annulus" is borrowed from the Latin word anulus or annulus meaning 'little ring'. The adjectival form is annular (as in annular eclipse). The open annulus is topologically equivalent to both the open cylinder S1 × (0,1) and the punctured plane. (Wikipedia).

Annulus (mathematics)
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Linear Transformations: Onto

Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.

From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics

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Linear Algebra for Computer Scientists. 12. Introducing the Matrix

This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order

From playlist Linear Algebra for Computer Scientists

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Linear algebra for Quantum Mechanics

Linear algebra is the branch of mathematics concerning linear equations such as. linear functions and their representations in vector spaces and through matrices. In this video you will learn about #linear #algebra that is used frequently in quantum #mechanics or #quantum #physics. ****

From playlist Quantum Physics

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Logic: The Structure of Reason

As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be

From playlist Logic & Philosophy of Mathematics

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What is the Derivative?

Derivatives are the main object of study in differential calculus. They describe rates of change of functions. That makes them incredibly useful in all of science, as many models can be expressed by describing the changes over time (e.g. of physical quantities). However, the abstract defin

From playlist Summer of Math Exposition Youtube Videos

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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

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What does it mean to be a "Linear" Differential Equation?

This video explores what it means for a differential equation to be linear. Specifically we discuss the importance of linear superposition and give examples of linear and nonlinear operators and differential equations. Playlist: https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3

From playlist Engineering Math: Differential Equations and Dynamical Systems

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Modular Transformation of Conformal Blocks via Liouville CFT - Yi Sun

Probability Seminar Topic: Modular Transformation of Conformal Blocks via Liouville CFT Speaker: Yi Sun Affiliation: University of Chicago Date: December 02, 2022 Conformal blocks are objects of fundamental importance in the bootstrap approach for exact solvability of 2D conformal field

From playlist Mathematics

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Lie Groups and Lie Algebras: Lesson 35 - The Fundamental Group

Lie Groups and Lie Algebras: Lesson 35 - The Fundamental Group Now that we understand the notion of homotopic paths ina topological space, we focus on loops. Using the fact that homotopy is an equivalence relation we create a set of equivalence classes of homotopic loops. That set is give

From playlist Lie Groups and Lie Algebras

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On embeddings of manifolds - Dishant Mayurbhai Pancholi

Seminar in Analysis and Geometry Topic: On embeddings of manifolds Speaker: Dishant Mayurbhai Pancholi Affiliation: Chennai Mathematical Institute; von Neumann Fellow, School of Mathematics Date: October 26, 2021 We will discuss embeddings of manifolds with a view towards applications i

From playlist Mathematics

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Phase space representation of the billiard in an annulus

This video shows phase space representations of billiards in annular regions, obtained by moving a smaller circle inside a larger one. Phase space representations are a tool widely used by mathematicians to analyze the dynamics of mathematical billiards. This representation allows to obta

From playlist Particles in billiards

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Peter Bubenik - Lecture 3 - TDA: Multiple Parameters

38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Peter Bubenik, University of Florida Title: TDA - Multiple Parameters Abstract: The final talk will bring us to the multiparameter setting - a topic of great practical interest and a subject of current research. I will dis

From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021

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Piotr Przytycki: Subgraphs of diameter 1 in graphs of girth 2

HYBRID EVENT Recorded during the meeting "Metric Graph Theory and Related Topics " the December 09, 2021 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 Combinatorics

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VECTOR CALCULUS LECTURE 8

My textbook on vector calculus is available here: https://github.com/Kylebroder/VectorCalculusBook/raw/main/VC_Notes.pdf Vector Calculus and Differential Equations Playlist -- https://www.youtube.com/watch?v=UhuxxkOocdY&list=PL912tg7wFUfXIwSKeTyxU5LTqdRZ8Urza&index=1 More videos on geome

From playlist MATH2305 -- Semester 1 2022

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Algebra for Beginners | Basics of Algebra

#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten

From playlist Linear Algebra

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Random surfaces and conformal field theory - Guillaume Remy

Short Talks by Postdoctoral Members Topic: Random surfaces and conformal field theory Speaker: Guillaume Remy Affiliation: Member, School of Mathematics Date: September 29, 2022

From playlist Mathematics

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Water and Wine

This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt

From playlist Problems, Paradoxes, and Sophisms

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Mean action of periodic orbits of area-preserving annulus diffeomorphisms - Morgan Weiler

Symplectic Dynamics/Geometry Seminar Topic: Mean action of periodic orbits of area-preserving annulus diffeomorphisms Speaker: Morgan Weiler Affiliation: University of California, Berkeley Date: December 3, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

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