Geometric topology | Homeomorphisms
In geometric topology, a branch of mathematics, a Dehn twist is a certain type of self-homeomorphism of a surface (two-dimensional manifold). (Wikipedia).
Difficult to form a recipe here, but through judicious use of substitution you can infinitely simplify a DE. Have a look.
From playlist Differential Equations
C25 Solving a DE with the annihilator approach
Solving for a differential equation by using the annihilator approach. Be warned, it is slightly different from the previous method (superposition approach), especially when it comes to how to handle the complimentary solution that appears in the general family of solutions.
From playlist Differential Equations
C30 Solving a linear DE by the annihilator approach
A two-part video of an example problem solving a DE by the method of variation of parameters, but first I show how it is done by the annihilator approach, first as a recap, but also to explain a bit more about the variation of parameters method.
From playlist Differential Equations
B23 Example problem solving for a homogeneous DE
The first substitution changes a DE in differential form that could not otherwise be solved (it is not exact, nor can it be changed into an exact equation by using an integrating factor) into a DE in which separation of variables can be applied. Make sure the DE is homogeneous, though.
From playlist Differential Equations
C80 Solving a linear DE with Laplace transformations
Showing how to solve a linear differential equation by way of the Laplace and inverse Laplace transforms. The Laplace transform changes a linear differential equation into an algebraical equation that can be solved with ease. It remains to do the inverse Laplace transform to calculate th
From playlist Differential Equations
Add me on facebook: (Click the LIKE button on facebook to add me) https://www.facebook.com/pages/Brusspup/158773774166995 This is such a simple project with really fun results. The box doesn't have to be the exact dimensions as the one in the video. You can experiment with the size. You
From playlist Cool Science Tricks
Determining clockwise vs counter clockwise rotations
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
Using substitution in differential equations can convert an equation that looks unsolvable into one that is easily solvable.
From playlist Mathematical Physics I Uploads
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"
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
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
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
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
Solve the general solution for differentiable equation with trig
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Differential Equations
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
Allison Moore - Essential Conway spheres and Floer homology via immersed curves
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Allison Moore, Virginia Commonwealth University Title: Essential Conway spheres and Floer homology via immersed curves Abstract: We consider the problem of whether Dehn surgery along a knot in the three-sphere produces an
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
Dehn Twists Exact Sequences Through Lagrangian Cobordism - Weiwei Wu
Weiwei Wu University of Montreal October 23, 2015 https://www.math.ias.edu/seminars/abstract?event=85044 In this talk we first introduce a new "singularity-free" approach to the proof of Seidel's long exact sequence, including the fixed-point version. This conveniently generalizes to Deh
From playlist PU/IAS Symplectic Geometry Seminar
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
Veering Dehn surgery - Saul Schleimer
Geometric Structures on 3-manifolds Topic: Veering Dehn surgery Speaker: Saul Schleimer Date: Tuesday, April 12 (Joint with Henry Segerman.) It is a theorem of Moise that every three-manifold admits a triangulation, and thus infinitely many. Thus, it can be difficult to learn anything
From playlist Mathematics