Math 131 092816 Continuity; Continuity and Compactness
Review definition of limit. Definition of continuity at a point; remark about isolated points; connection with limits. Composition of continuous functions. Alternate characterization of continuous functions (topological definition). Continuity and compactness: continuous image of a com
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
The Sum of Uniformly Continuous Functions is Uniformly Continuous Proof
The Sum of Uniformly Continuous Functions is Uniformly Continuous Proof If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Advanced Calculus
Math 131 Fall 2018 101018 Continuity and Compactness
Definition: bounded function. Continuous image of compact set is compact. Continuous image in Euclidean space of compact set is bounded. Extreme Value Theorem. Continuous bijection on compact set has continuous inverse. Definition of uniform continuity. Continuous on compact set impl
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
Worldwide Calculus: Euclidean Space
Lecture on 'Euclidean Space' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Multivariable Spaces and Functions
Teach Astronomy - The Shape of Space
http://www.teachastronomy.com/ According to the theory of general relativity, the universe and the space we live in may actually have a shape, and the shape need not be the flat infinite space described by Euclidean geometry. Infinite space will be flat, but curved space could be finite o
From playlist 22. The Big Bang, Inflation, and General Cosmology
Uniform Probability Distribution Examples
Overview and definition of a uniform probability distribution. Worked examples of how to find probabilities.
From playlist Probability Distributions
Metric space definition and examples. Welcome to the beautiful world of topology and analysis! In this video, I present the important concept of a metric space, and give 10 examples. The idea of a metric space is to generalize the concept of absolute values and distances to sets more gener
From playlist Topology
Is there any place in the Universe where there's truly nothing? Consider the gaps between stars and galaxies? Or the gaps between atoms? What are the properties of nothing?
From playlist Guide to Space
P. Burkhardt-Pointwise lower scalar curvature bounds for C0 metrics via regularizing Ricci flow (vt)
We propose a class of local definitions of weak lower scalar curvature bounds that is well defined for C0 metrics. We show the following: that our definitions are stable under greater-than-second-order perturbation of the metric, that there exists a reasonable notion of a Ricci flow starti
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
P. Burkhardt-Pointwise lower scalar curvature bounds for C0 metrics via regularizing Ricci flow
We propose a class of local definitions of weak lower scalar curvature bounds that is well defined for C0 metrics. We show the following: that our definitions are stable under greater-than-second-order perturbation of the metric, that there exists a reasonable notion of a Ricci flow starti
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Seminar In the Analysis and Methods of PDE (SIAM PDE): Monica Visan
Title: Determinants, Commuting Flows, and Recent Progress on Completely Integrable Systems Date: October 7, 2021, 11:30 am ET Speaker: Monica Visan, University of California, Los Angeles Abstract: We will survey a number of recent developments in the theory of completely integrable nonlin
From playlist Seminar In the Analysis and Methods of PDE (SIAM PDE)
Shintaro Nishikawa: Sp(n,1) admits a proper 1-cocycle for a uniformly bounded representation
Talk by Shintaro Nishikawa in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on June 17, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
Paula Burkhardt-Guim - Lower scalar curvature bounds for $C^0$ metrics: a Ricci flow approach
We describe some recent work that has been done to generalize the notion of lower scalar curvature bounds to C^0 metrics, including a localized Ricci flow approach. In particular, we show the following: that there is a Ricci flow definition which is stable under greater-than-second-order p
From playlist Not Only Scalar Curvature Seminar
Bubbling theory for minimal hypersurfaces - Ben Sharp
Variational Methods in Geometry Seminar Topic: Bubbling theory for minimal hypersurfaces Speaker: Ben Sharp Affiliation: University of Warwick Date: November 27, 2018 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Lyapunov exponents, from the 1960's to the 2020's by Marcelo Viana
DISTINGUISHED LECTURES LYAPUNOV EXPONENTS, FROM THE 1960'S TO THE 2020'S SPEAKER: Marcelo Viana (IMPA, Brazil) DATE: 24 September 2019, 16:00 to 17:30 VENUE: Ramanujan Lecture Hall The ergodic theory of Lyapunov exponents, initiated by the work of Furstenberg and Kesten at the dawn of
From playlist DISTINGUISHED LECTURES
From playlist Contributed talks One World Symposium 2020
Math 101 Introduction to Analysis 120415: Compactness and Continuity
Compactness and Continuity: recall continuous image of compact set is compact; alternate (third) proof of extreme value theorem; motivation for uniform continuity; definition of uniform continuity; continuous on a compact set implies uniformly continuous
From playlist Course 6: Introduction to Analysis
David Ambrose: "Existence theory for nonseparable mean field games in Sobolev spaces"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop III: Mean Field Games and Applications "Existence theory for nonseparable mean field games in Sobolev spaces" David Ambrose - Drexel University Abstract: We will describe some existence results for the mean field games PDE system with n
From playlist High Dimensional Hamilton-Jacobi PDEs 2020