Topology | Knot theory

Free loop

In the mathematical field of topology, a free loop is a variant of the mathematical notion of a loop. Whereas a loop has a distinguished point on it, called a basepoint, a free loop lacks such a distinguished point. Formally, let be a topological space. Then a free loop in is an equivalence class of continuous functions from the circle to . Two loops are equivalent if they differ by a reparameterization of the circle. That is, if there exists a homeomorphism such that . Thus, a free loop, as opposed to a based loop used in the definition of the fundamental group, is a map from the circle to the space without the basepoint-preserving restriction. Free homotopy classes of free loops correspond to conjugacy classes in the fundamental group. Recently, interest in the space of all free loops has grown with the advent of string topology, i.e. the study of new algebraic structures on the homology of the free loop space. (Wikipedia).

Video thumbnail

Learning Python For Loops

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

Video thumbnail

Python Loops Tutorial | Python Loops Explained | Python Tutorial | Python For Beginners |Simplilearn

In this video, you will learn about Python loops. Loops are a fundamental concept in any programming language. We’ll cover in detail about the different types of loops in Python with hands-on examples. Below are the topics covered in Python Loops Tutorial: For Loops in Python While Loop

From playlist Python For Beginners 🔥[2022 Updated]

Video thumbnail

Python Loops Tutorial | Python For Loop | While Loop In Python | Python Training | Simplilearn

This video on Python Loops Tutorial covers Python for loop and while loop. You will learn to write nested loops in Python and get an idea about using break and continue statements in Python. You will also use if else conditions in for loops and while loops. 🔥Free Python Course with comple

From playlist 🔥Python | Python Tutorial For Beginners | Python Projects | Python Interview Questions And Answers | Updated Python Playlist 2023 | Simplilearn

Video thumbnail

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

Video thumbnail

For Loop In Python | Python For Loop Tutorial | Python Tutorial | Python Programming | Simplilearn

This Python tutorial will help you understand what is for loop and how to use for loop in Python. In programming, statements are executed sequentially. The first statement in a code is executed first, followed by the second one, and so on. There may be a situation when you need to execute

From playlist 🔥Python | Python Tutorial For Beginners | Python Projects | Python Interview Questions And Answers | Updated Python Playlist 2023 | Simplilearn

Video thumbnail

Python 3 programming tutorial: While Loop

The two distinctive loops we have in Python 3 logic are the "for loop" and the "while loop." Both of them achieve very similar results, and can almost always be used interchangeably towards a goal. Many times it comes down to programmer preference, or is reliant on efficiency. Generally, t

From playlist Python 3 Basics Tutorial Series

Video thumbnail

Python 3 Programming Tutorial - For loop

The next loop is the For loop. The idea of the for loop is to "iterate" through something. For each thing in that something, it will do a block of code. Most often, you will a for loop's structure very much like for eachThing in thisThing: do this stuff in this block So, again, wh

From playlist Python 3 Basics Tutorial Series

Video thumbnail

Python Loops Tutorial | Python For Loop | While Loop Python | Python Training | Edureka

🔥 Python Certification Training: https://www.edureka.co/data-science-python-certification-course This Edureka "Python Loops" tutorial (Python Tutorial Blog: https://goo.gl/wd28Zr) will help you in understanding different types of loops used in Python. You will be learning how to implement

From playlist Python Programming Tutorials | Edureka

Video thumbnail

While Loops in Python

Seeing that a while loop can do the same thing as a for loop

From playlist Computer Science

Video thumbnail

Loop products, closed geodesics and self-intersections - Nancy Hingston

Workshop on Geometric Functionals: Analysis and Applications Topic: Loop products, closed geodesics and self-intersections Speaker: Nancy Hingston Affiliation: The College of New Jersey Date: March 6, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Galaxy Bias Loops - R. Scoccimarro - Workshop 1 - CEB T3 2018

Roman Scoccimarro (NYU) / 21.09.2018 Galaxy Bias Loops ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com/InHenriPoincare Instagram : h

From playlist 2018 - T3 - Analytics, Inference, and Computation in Cosmology

Video thumbnail

C Programming: Cracking Passwords Using Brute-Force

In this session we'll learn how to crack MD5 hashes using brute force, in which all permutations of passwords are tried. Along the way we'll see how a tool like Valgrind can help track down memory leaks.

From playlist C Programming

Video thumbnail

Group theory 32: Subgroups of free groups

This lecture is part of an online mathematics course on group theory. We describe subgroups of free groups, show that they are free, calculate the number of generators, and give two examples.

From playlist Group theory

Video thumbnail

Daniel Ueltschi: Quantum spin systems and phase transitions - Part IV

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Mathematical Physics

Video thumbnail

Duality for Rabinowitz-Floer homology - Alex Oancea

IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Duality for Rabinowitz-Floer homology Speaker: Alex Oancea Affiliation: Institut de Mathématiques de Jussieu-Paris Rive Gauche Date: May 27, 2020 For more video please visit http://video.ias.edu

From playlist PU/IAS Symplectic Geometry Seminar

Video thumbnail

Lecture 8: Bökstedt Periodicity

In this video, we give a proof of Bökstedts fundamental result showing that THH of F_p is polynomial in a degree 2 class. This will rely on unlocking its relation to the dual Steenrod algebra and the fundamental fact, that the latter is free as an E_2-Algebra. Feel free to post comments a

From playlist Topological Cyclic Homology

Video thumbnail

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

Video thumbnail

C Programming: Brute-force cracking a hash; debugging with Valgrind

We are continuing the series on hashing and cracking passwords. We will write and debug a program that cracks a hash using brute-force. Also we learned how to detect memory leaks using valgrind.

From playlist C Programming

Video thumbnail

For Loops - JavaScript Programming Basics p.6

In this tutorial with JavaScript, we'll be covering the for loop and the forEach loop. Text-based tutorials: https://jsprogramming.net/oop-loop-javascript Channel membership: https://www.youtube.com/channel/UCfzlCWGWYyIQ0aLC5w48gBQ/join Discord: https://discord.gg/sentdex Support the con

From playlist JavaScript Basics

Video thumbnail

Roller Coaster Physics

This video lesson explains the physics that underlies the thrill of a roller coaster ride. The focus of the discussion and illustrations are on the curved sections of the track such as the tear-drop-shaped loops and the small hills and dips. Numerous examples, illustrations, and animations

From playlist Circular and Satellite Motion

Related pages

Loop (topology) | Fundamental group | Loop space | Topological space | Equivalence class | Singular homology | Mathematics | Homeomorphism | Quasigroup | Topology | Conjugacy class | Continuous function | Circle | String topology