Solution of the Laplace Equation on an Annulus
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Partial Differential Equations
C22 Simple examples finding the annihilator
Looking at example of calculating the annihilator differential operator for simple expressions.
From playlist Differential Equations
C26 Example problem finding the form of the particular solution
More examples problems using the annihilator approach.
From playlist Differential Equations
C23 More about the annihilator approach
Finding the annihilator differential operator for other types of expressions.
From playlist Differential Equations
Annihilators and the Matrix of a Dual Map
Definition of annihilator. Dimension of the annihilator. The null space and range of the dual map T'. Surjectivity and injectivity of T correspond to injectivity and surjectivity of T'. The dimension of the range of T'. Transpose of matrices. The matrix of T'. Row rank = column rank.
From playlist Linear Algebra Done Right
C73 Introducing the theorem of Frobenius
The theorem of Frobenius allows us to calculate a solution around a regular singular point.
From playlist Differential Equations
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
What is the area of the ring? Solved in 5 ways, including visual calculus!
What is the area of a ring (an annulus), the region between two concentric circles? The line segment is tangent to the inner circle and has a length of 8. The answer is surprising and there are several ways to solve the problem. In the video I present four solution methods and also mention
From playlist Math Puzzles, Riddles And Brain Teasers
The pp-curvature conjecture and monodromy about simple closed loops - Ananth Shankar
Princeton/IAS Number Theory Seminar Topic: The pp-curvature conjecture and monodromy about simple closed loops Speaker: Ananth Shankar Affiliation: Harvard University Date: May 11, 2017 For more info, please visit http://video.ias.edu
From playlist Mathematics
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
MAE5790-9 Testing for closed orbits
Techniques for ruling out closed orbits: index theory and Dulac's criterion. Techniques for proving closed orbits exist: Poincaré-Bendixson theorem. Trapping regions. Example in polar coordinates. Simple model of oscillatory glycolysis in metabolism. Nullclines. Reading: Strogatz, "Nonli
From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University
STPM - New Tools for an Old Problem: The Dynamics of Area Preserving Disc Maps - Braney Bramham
Braney Bramham Institute for Advanced Study September 21, 2010 For more videos, visit http://video.ias.edu
From playlist Mathematics
(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
(4.1.3) Orthogonality of Eigenfunctions Theorem and Proof
This video explains and proves a theorem on the orthogonality of eigenfunctions. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
C27 Example problem finding the form of the particular solution
More example problems using the annihilator approach.
From playlist Differential Equations
Bramham Barney "Poincaré's last geometric theorem: a 21st century proof"
Résumé Poincare's last legacy to mathematics, his ``last geometric theorem'' is now one of the more beautiful elementary statements in dynamical systems. Simple to state but tricky to prove, Poincare himself did not quite live long enough to see the problems' first solution in 1913 by the
From playlist Colloque Scientifique International Poincaré 100
Alexander Rolle (8/12/22): Homology inference for the degree-Rips bifiltration
The degree-Rips bifiltration is a density-sensitive construction based on the Vietoris-Rips filtration. I will motivate the "degree" part of the construction, and present a framework for studying homology inference questions. I will also present an example, motivated by experiments in a re
From playlist Vietoris-Rips Seminar
Mod-06 Lec-34 Lyapunov Function
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
C24 Finding the differential annihilator
Example problem finding the annihilator differential operator.
From playlist Differential Equations