Ordinary differential equations | Complex analysis
In mathematics, in the theory of ordinary differential equations in the complex plane , the points of are classified into ordinary points, at which the equation's coefficients are analytic functions, and singular points, at which some coefficient has a singularity. Then amongst singular points, an important distinction is made between a regular singular point, where the growth of solutions is bounded (in any small sector) by an algebraic function, and an irregular singular point, where the full solution set requires functions with higher growth rates. This distinction occurs, for example, between the hypergeometric equation, with three regular singular points, and the Bessel equation which is in a sense a limiting case, but where the analytic properties are substantially different. (Wikipedia).
Differential Equations | Definition of a regular singular point.
We give the definition of a regular singular point of a differential equation as well as some examples of differential equations with regular singular points. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Differential Equations
C72 What to do about the singular point
Now that we can calculate a solution at analytical points, what can we do about singular points. It turns out, not all singular points are created equal. The regular and irregular singular point.
From playlist Differential Equations
Algebraic geometry 37: Singular points (replacement video))
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It defines singular points and tangents spaces, and shows that the set of nonsingular points of a variety is open and dense. This is a replacement for the original video,
From playlist Algebraic geometry I: Varieties
Finding the Minimum Radius of Convergence about an Ordinary Point
In this video I do an example of Finding the Minimum Radius of Convergence about an Ordinary Point.
From playlist Differential Equations
Null points and null lines | Universal Hyperbolic Geometry 12 | NJ Wildberger
Null points and null lines are central in universal hyperbolic geometry. By definition a null point is just a point which lies on its dual line, and dually a null line is just a line which passes through its dual point. We extend the rational parametrization of the unit circle to the proj
From playlist Universal Hyperbolic Geometry
Find the Minimum Radius of Convergence about the given Ordinary Point
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Find the Minimum Radius of Convergence about the given Ordinary Point
From playlist Differential Equations
From playlist l. Differential Calculus
Number Theory | Rational Points on the Unit Circle
We describe all points on the unit circle with rational coordinates. Furthermore, we outline a strategy for finding rational points on other quadratic curves. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Number Theory
This video describes the Residue Theorem and its derivation.
From playlist Basics: Complex Analysis
Boundary regularity for area minimizing currents and a question of Almgren - Camillo De Lellis
Workshop on Mean Curvature and Regularity Topic: Boundary regularity for area minimizing currents and a question of Almgren Speaker: Camillo De Lellis Affiliation: Professor, School of Mathematics Date: November 6, 2018 For more video please visit http://video.ias.edu
From playlist Workshop on Mean Curvature and Regularity
Xavier Ros-Oton: Regularity of free boundaries in obstacle problems, Lecture III
Free boundary problems are those described by PDE that exhibit a priori unknown (free) interfaces or boundaries. Such type of problems appear in Physics, Geometry, Probability, Biology, or Finance, and the study of solutions and free boundaries uses methods from PDE, Calculus of Variations
From playlist Hausdorff School: Trending Tools
Alessio FIGALLI - The singular set in the Stefan problem
https://ams-ems-smf2022.inviteo.fr/i
From playlist International Meeting 2022 AMS-EMS-SMF
Richard Schoen - Positive Mass Theorem in All Dimensions [2018]
Name: Richard Schoen Event: Workshop: Mass in General Relativity Event URL: view webpage Title: Positive Mass Theorem in All Dimensions Date: 2018-03-26 @10:00 AM Location: 102 http://scgp.stonybrook.edu/video_portal/video.php?id=3552
From playlist Mathematics
Stable hypersurfaces with prescribed mean curvature -Costante Bellettini
Variational Methods in Geometry Seminar Topic: Stable hypersurfaces with prescribed mean curvature Speaker: Costante Bellettini Affiliation: Princeton University; Member, School of Mathematics Date: April 2, 2019 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Werner Seiler, Universität Kassel
February 22, Werner Seiler, Universität Kassel Singularities of Algebraic Differential Equations
From playlist Spring 2022 Online Kolchin seminar in Differential Algebra
Regularity of stable codimension 1 CMC varifolds - Neshan Wickramasekera
Variational Methods in Geometry Seminar Topic: Regularity of stable codimension 1 CMC varifolds Speaker: Neshan Wickramasekera Affiliation: University of Cambridge; Member, School of Mathematics Date: January 15, 2019 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Commutative algebra 60: Regular local rings
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We define regular local rings as the local rings whose dimension is equal to the dimension of their cotangent space. We give s
From playlist Commutative algebra
The circle and Cartesian coordinates | Universal Hyperbolic Geometry 5 | NJ Wildberger
This video introduces basic facts about points, lines and the unit circle in terms of Cartesian coordinates. A point is an ordered pair of (rational) numbers, a line is a proportion (a:b:c) representing the equation ax+by=c, and the unit circle is x^2+y^2=1. With this notation we determine
From playlist Universal Hyperbolic Geometry
Branched Regularity Theorems for Stable Minimal Hypersurfaces Near Classical Cones...- Paul Minter
Analysis & Mathematical Physics Topic: Branched Regularity Theorems for Stable Minimal Hypersurfaces Near Classical Cones of Density Q+1/2 Speaker: Paul Minter Affiliation: Veblen Research Instructor, School of Mathematics Date: November 16, 2022 The presence of branch points and so-cal
From playlist Mathematics