Geometric topology | Geometric group theory | Combinatorics on words
In the mathematical subject of geometric group theory, a Dehn function, named after Max Dehn, is an optimal function associated to a finite group presentation which bounds the area of a relation in that group (that is a freely reduced word in the generators representing the identity element of the group) in terms of the length of that relation (see pp. 79–80 in ). The growth type of the Dehn function is a quasi-isometry invariant of a finitely presented group. The Dehn function of a finitely presented group is also closely connected with non-deterministic algorithmic complexity of the word problem in groups. In particular, a finitely presented group has solvable word problem if and only if the Dehn function for a finite presentation of this group is recursive (see Theorem 2.1 in ). The notion of a Dehn function is motivated by isoperimetric problems in geometry, such as the classic isoperimetric inequality for the Euclidean plane and, more generally, the notion of a filling area function that estimates the area of a minimal surface in a Riemannian manifold in terms of the length of the boundary curve of that surface. (Wikipedia).
What are the Inverse Trigonometric functions and what do they mean?
👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
Definition of a Surjective Function and a Function that is NOT Surjective
We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht
From playlist Injective, Surjective, and Bijective Functions
Ignat Soroko - Groups of type FP: their quasi-isometry classes and homological Dehn functions
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Ignat Soroko, Louisiana State University Title: Groups of type FP: their quasi-isometry classes and homological Dehn functions Abstract: There are only countably many isomorphism classes of finitely presented groups, i.e.
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
Matthias Goerner's 3D print: http://shpws.me/SZbN Countdown d24: https://youtu.be/U0soSn7BojQ Matthias' version of the construction of the polyhedron: http://www.unhyperbolic.org/sydler.html Demonstration of the Wallace–Bolyai–Gerwien theorem by Dima Smirnov and Zivvy Epstein: https://dmsm
From playlist 3D printing
(New Version Available) Inverse Functions
New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/
From playlist Exponential and Logarithmic Expressions and Equations
2.11117 What is a rational function Functions
http://www.freemathvideos.com presents: Learn math your way. My mission is to provide quality math education to everyone that is willing to receive it. This video is only a portion of a video course I have created as a math teacher. Please visit my website to join my mailing list, downloa
From playlist Rational Functions - Understanding
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This class focuses on hinged dissections. Examples of hinged dissections and several built, reconfigurable applications are offere
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
Inverse Trigonometric Functions
Inverse trig functions - definitions, domain, range, and how to evaluate them! Hope this helps! Facebook: https://www.facebook.com/braingainzofficial Instagram: https://www.instagram.com/braingainzofficial Thanks for watching! Comment below with any questions / feedback and make sure
From playlist Precalculus
Projective Dehn twist - Cheuk Yu Mak
Topic: Projective Dehn twist Speaker: Cheuk Yu Mak, Member, School of Mathematics More videos on http://video.ias.edu
From playlist Mathematics
Graphing Trigonometric Functions
We love to graph functions, and now that we know about the trigonometric functions, let's learn to graph those too! These are periodic functions, meaning they spit out the same values over and over and over, with a frequency that depends on the period of the function. This will be easy to
From playlist Trigonometry
Projective Dehn twist via Lagrangian cobordism - Cheuk Yu Mak
Princeton/IAS Symplectic Geometry Seminar Topic:Projective Dehn twist via Lagrangian cobordism Speaker: Cheuk Yu Mak Affiliation: IAS Member, School of Mathematics Date: October 4, 2016 For more videos, visit http://video.ias.edu
From playlist Mathematics
Trigonometry - Vocabulary of trigonometric functions
In this video will cover some of the basic vocabulary that you'll hear when working with trigonometric functions. Specifically we'll cover what is trigonometry, angles, and defining the trigonometric functions as ratios of sides. You'll hear these terms again as we dig deeper into the st
From playlist Trigonometry
Taming the hydra: the Word Problem, Dehn functions, and extreme integer compression - Timothy Riley
Taming the hydra: the Word Problem, Dehn functions, and extreme integer compression Timothy Riley Cornell University; Member, School of Mathematics December 2, 2014 For a finitely presented group, the Word Problem asks for an algorithm which declares whether or not words on the generators
From playlist Mathematics
Cheuk Yu Mak: Spherical Lagrangian submanifolds and spherical functors
The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: Spherical twist is an auto equivalence of a category whose definition is motivated from the Dehn twist along a Lagrangian submanifold inside a symplectic
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Engineer Rudy Dehn tells us how a magnetron works and how it cooks food in a microwave. Mr. Dehn helped develop both the 915 Mhz and 2.45 Ghz microwave oven at General Electric in the 1960s-80s. He shows us the cathode and anode and describes how microwave energy is created using a filame
From playlist How Things Work
Inverse Trigonometric Functions
We know about inverse functions, and we know about trigonometric functions, so it's time to learn about inverse trigonometric functions! These are functions where you plug in valid values that trig functions can possess, and they spit out the angles that produce them. There's a little more
From playlist Trigonometry
Function (Understand What This Means In Algebra)
A function is an extremely important concept in algebra. Basically a function is a type of relation. In this video a function and relation will be defined. Also, the terms domain and range will be explained as well. For more math help please visit http://tabletclass.com
From playlist GED Prep Videos
Manifolds, classification of surfaces and Euler characteristic | Differential Geometry 25
Here we give an informal introduction to the modern idea of `manifold', putting aside all the many logical difficulties that are bound up in this definition: difficulties associated with specification, with the use of `infinite sets', with the notions of `functions' etc. Even those stude
From playlist Differential Geometry
Dehn-Seidel twist, C0 symplectic geometry and barcodes - Alexandre Jannaud
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Dehn-Seidel twist, C0 symplectic geometry and barcodes Speaker: Alexandre Jannaud Affiliation: Sorbonne Date: January 29, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Transcendental Functions 19 The Function a to the power x.mp4
The function a to the power x.
From playlist Transcendental Functions