In mathematics, a loop in a topological space X is a continuous function f from the unit interval I = [0,1] to X such that f(0) = f(1). In other words, it is a path whose initial point is equal to its terminal point. A loop may also be seen as a continuous map f from the pointed unit circle S1 into X, because S1 may be regarded as a quotient of I under the identification of 0 with 1. The set of all loops in X forms a space called the loop space of X. (Wikipedia).
Topology (What is a Topology?)
What is a Topology? Here is an introduction to one of the main areas in mathematics - Topology. #topology Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, b
From playlist Topology
Basic intro to answer the question, "What's a Loop?" If there's a set of data, (we'll use an array for this example, but it doesn't have to be,) and you want to perform the same manipulation to every piece in that set of data, you can use something called a loop. Loops have some complex
From playlist Computer Science and Software Engineering Theory with Briana
Overview of Loops in Graph Theory | Graph Loop, Multigraphs, Pseudographs
What are loops in graph theory? Sometimes called self loops, a loop in a graph is an edge that connects a vertex to itself. These are not allowed in what are often called "simple graphs", which are the graphs we usually study when we begin studying graph theory. In simple graphs, loop ed
From playlist Graph Theory
I define closed sets, an important notion in topology and analysis. It is defined in terms of limit points, and has a priori nothing to do with open sets. Yet I show the important result that a set is closed if and only if its complement is open. More topology videos can be found on my pla
From playlist Topology
More videos like this online at http://www.theurbanpenguin.com We take a moment to look at for loops within Python using Python 3 installed on an openSUSE Linux desktop. First we iterate through modules installed on the system using sys.modules; then we move into reading files line by line
From playlist Python
Topology 1.3 : Basis for a Topology
In this video, I define what a basis for a topology is. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology
What Is Network Topology? | Types of Network Topology | BUS, RING, STAR, TREE, MESH | Simplilearn
In this video on Network Topology, we will understand What is Network topology, the role of using topology while designing a network, Different types of Topologies in a Network. Network topology provides us with a way to configure the most optimum network design according to our requiremen
From playlist Cyber Security Playlist [2023 Updated]🔥
This video is about connectedness and some of its basic properties.
From playlist Basics: Topology
Definition of a Topological Space
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Topological Space
From playlist Topology
Lie Groups and Lie Algebras: Lesson 37 - The Fundamental Groups of SU(2) and SO(3)
Lie Groups and Lie Algebras: Lesson 37 - Homotopy Groups of SU(2) and SO(3) In this lesson we discover the Fundamental Group of SU(2) and S0(3) and learn the critical fact that they are not the same. That is, the Fundamental Group associated with the topological space SU(2) is simply conn
From playlist Lie Groups and Lie Algebras
Armand Riera: The scaling limit of random planar maps with large faces
HYBRID EVENT Recorded during the meeting "Random Geometry" the January 18, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics
From playlist Probability and Statistics
Fixed points in digital topology
A talk given by Chris Staecker at King Mongkut's University of Technology Thonburi, Bangkok, Thailand, on October 11 2019. This is the second in a series of 3 talks given at KMUTT. Includes an introduction to graph-theoretical ("Rosenfeld style") digital topology, and some basic results a
From playlist Research & conference talks
Classical background by Mohammed Abouzaid
DATE & TIME: 25 December 2017 to 04 January 2018 VENUE: Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex structure. The moduli space of these curves (
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Emilie Purvine (5/2/21): Homology of Graphs and Hypergraphs
Graphs and hypergraphs are typically studied from a combinatorial perspective. A graph being a collection of vertices and pairwise relationships (edges) among the vertices, and a hypergraph capturing multi-way or groupwise relationships (hyperedges) among the vertices. But both of these ob
From playlist TDA: Tutte Institute & Western University - 2021
Algebraic Topology 1.4 : Fundamental Group
In this video, I introduce the fundamental group, and explain the induced isomorphism resulting from a path and the induced homomorphism resulting from a continuous map, proving functorality. I also briefly cover retractions and how their induced homomorphism is surjective. Translate This
From playlist Topology
Topology Riddles | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Can you turn your pants inside out without taking your feet off the ground? Start your free trial with Squarespace at http://squarespace.com/infiniteseries and enter of
From playlist An Infinite Playlist
String topology coproduct: geometric and algebraic aspects - Manuel Rivera
Princeton/IAS Symplectic Geometry Seminar Topic: String topology coproduct: geometric and algebraic aspects Speaker: Manuel Rivera Affiliation: University of Miami Date: May 11, 2017 For more info, please visit http://video.ias.edu
From playlist Mathematics
How Many Holes Does a Straw Have? (Topology 101)
I'm going into 7th grade, and this is my first video! I'm very excited to share this with you! As promised, here is my source, and further learning into the topic (like how topology is applied in today's society) https://www.quantamagazine.org/topology-101-how-mathematicians-study-holes
From playlist Summer of Math Exposition Youtube Videos
How to Make a For Loop in Python
This video explains the basics of for loops in Python including looping over lists, numerical ranges, the continue keyword and the break keyword.
From playlist Python Basics
Exploring state-space topology in the geosciences - Sciamarella - Workshop 1 - CEB T3 2019
Sciamarella (CNRS) / 11.10.2019 Exploring state-space topology in the geosciences ************************************* Langue : Anglais ; Date : 11.10.2019; Conférencier : Sciamarella, Denisse; Évenement : Workshop 1 - CEB T3 2019; Lieu : IHP; Mots Clés :
From playlist 2019 - T3 - The Mathematics of Climate and the Environment