Convergent sequences are bounded
Convergent Sequences are Bounded In this video, I show that if a sequence is convergent, then it must be bounded, that is some part of it doesn't go to infinity. This is an important result that is used over and over again in analysis. Enjoy! Other examples of limits can be seen in the
From playlist Sequences
Every Function with a Bounded Derivative is Uniformly Continuous Proof
In this video I prove that every function with a bounded derivative is uniformly continuous. I hope this video helps someone out there who is studying mathematical analysis/advanced calculus. If you enjoyed this video please consider liking, sharing, and subscribing. You can also help su
From playlist Advanced Calculus
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
Uniform Probability Distribution Examples
Overview and definition of a uniform probability distribution. Worked examples of how to find probabilities.
From playlist Probability Distributions
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
How to Prove a Function is Uniformly Continuous
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to Prove a Function is Uniformly Continuous. This is a proof that f(x) = 1/(1 + x^2) is uniformly continuous on R. I hope this video helps.
From playlist 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)
What are Bounded Sequences? | Real Analysis
What are bounded sequences? We go over the definition of bounded sequence in today's real analysis video lesson. We'll see examples of sequences that are bounded, and some that are bounded above or bounded below, but not both. We say a sequence is bounded if the set of values it takes on
From playlist Real Analysis
Every Compact Set in n space is Bounded
Every Compact Set in n space is Bounded 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
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)
Andreas Thom: Asymptotics of Cheeger constants and unitarisability of groups
Talk by Andreas Thom in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on January 26, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Recovering elliptic curves from their p-torsion - Benjamin Bakker
Benjamin Bakker New York University May 2, 2014 Given an elliptic curve EE over a field kk, its p-torsion EpEp gives a 2-dimensional representation of the Galois group GkGk over 𝔽pFp. The Frey-Mazur conjecture asserts that for k=ℚk=Q and p13p13, EE is in fact determined up to isogeny by th
From playlist Mathematics
Hyperbolic 3-manifolds of bounded volume and trace field degre - Bogwang Jeon
Bogwang Jeon, Columbia Univ October 8, 2015 http://www.math.ias.edu/wgso3m/agenda 2015-2016 Monday, October 5, 2015 - 08:00 to Friday, October 9, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 aca
From playlist Workshop on Geometric Structures on 3-Manifolds
Distinguished Visitor Lecture Series Finding better randomness Theodore A. Slaman University of California, Berkeley, USA
From playlist Distinguished Visitors Lecture Series
Can p-adic integrals be computed? - William Duke
Automorphic Forms William Duke Thomas Hales April 6, 2001 Concepts, Techniques, Applications and Influence April 4, 2001 - April 7, 2001 Support for this conference was provided by the National Science Foundation Conference Page: https://www.math.ias.edu/conf-automorphicforms Confere
From playlist Mathematics
Hyperbolic surfaces and their Teichmüller spaces (Lecture – 03) by Subhojoy Gupta
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 22, 2016 More videos on http://video.ias.edu
From playlist Analysis and Beyond
Index Theory and Flexibility in Positive Scalar Curve Geometry -Bernhard Hanke
Emerging Topics Working Group Topic: Index Theory and Flexibility in Positive Scalar Curve Geometry Speaker: Bernhard Hanke Affilaion: Augsburg University Date: October 18, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Rumours, consensus and epidemics on networks (Lecture 2) by A Ganesh
PROGRAM : ADVANCES IN APPLIED PROBABILITY ORGANIZERS : Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah and Piyush Srivastava DATE & TIME : 05 August 2019 to 17 August 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in r
From playlist Advances in Applied Probability 2019
Continuous implies Bounded In this video, I show that any continuous function from a closed and bounded interval to the real numbers must be bounded. The proof is very neat and involves a straightforward application of the Bolzano-Weierstraß Theorem, enjoy! Bolzano-Weierstraß: https://yo
From playlist Limits and Continuity