In measure theory, a branch of mathematics, a finite measure or totally finite measure is a special measure that always takes on finite values. Among finite measures are probability measures. The finite measures are often easier to handle than more general measures and show a variety of different properties depending on the sets they are defined on. (Wikipedia).
Infinite Limits With Equal Exponents (Calculus)
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From playlist Calculus
Measure Theory 1.1 : Definition and Introduction
In this video, I discuss the intuition behind measures, and the definition of a general measure. I also introduce the Lebesgue Measure, without proving that it is indeed a measure. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
Fundamentals of Mathematics - Lecture 33: Dedekind's Definition of Infinite Sets are FInite Sets
https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html
From playlist Fundamentals of Mathematics
Maximum and Minimum of a set In this video, I define the maximum and minimum of a set, and show that they don't always exist. Enjoy! Check out my Real Numbers Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCZggpJZvUXnUzaw7fHCtoh
From playlist Real Numbers
Math 101 092517 Rigorous Definition of the Limit (of a sequence)
Rough notion of the rigorous definition of the limit. The actual definition. Example: showing that 1/n converges to 0.
From playlist Course 6: Introduction to Analysis (Fall 2017)
Infinite Sum for e -- without Calculus (just a few limits)
The number e can be expressed as an infinite sum of factorial recipriocals. You usually see this for the first time in Calculus I when studying Taylor Series. In this video, we derive that sum using only a few limits, starting with the limit definition of the logarithm.
From playlist e
Multivariable Calculus | Showing a limit does not exist
We introduce the notion of the limit of a function with more than one variable and provide a strategy for showing that the limit does not exist. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
G. Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 3)
In these lectures I will first recall the basic notions and results that are needed to study minimal surfaces in the smooth setting (above all the area formula and the first variation of the area), give a short review of the main (classical) techniques for existence results, and then outli
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
Observable events" and "typical trajectories" in...dynamical systems - Lai-Sang Young
Analysis Seminar Topic: Observable events" and "typical trajectories" in finite and infinite dimensional dynamical systems Speaker: Lai-Sang Young Affiliation: New York University; Distinguished Visiting Professor, School of Mathematics and Natural Sciences Date: February 24, 2020 For mo
From playlist Mathematics
Measurable equidecompositions – András Máthé – ICM2018
Analysis and Operator Algebras Invited Lecture 8.8 Measurable equidecompositions András Máthé Abstract: The famous Banach–Tarski paradox and Hilbert’s third problem are part of story of paradoxical equidecompositions and invariant finitely additive measures. We review some of the classic
From playlist Analysis & Operator Algebras
Stable and NIP regularity in groups - G. Conant - Workshop 1 - CEB T1 2018
Gabriel Conant (Notre Dame) / 01.02.2018 We use local stability theory to prove a group version of Szemer´edi regularity for stable subsets of finite groups. Toward generalizing this result to the NIP setting, we consider definable set systems of finite VC-dimension in pseudofinite groups
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
G. Alberti - Introduction to minimal surfaces and finite perimeter sets (Part 4)
In these lectures I will first recall the basic notions and results that are needed to study minimal surfaces in the smooth setting (above all the area formula and the first variation of the area), give a short review of the main (classical) techniques for existence results, and then outli
From playlist Ecole d'été 2015 - Théorie géométrique de la mesure et calcul des variations : théorie et applications
Marcin Sabok: Perfect matchings in hyperfinite graphings
Recorded during the meeting "XVI International Luminy Workshop in Set Theory" the September 16, 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's Au
From playlist Probability and Statistics
Meltem Ünel: Height coupled trees
HYBRID EVENT Recorded during the meeting "Random Geometry" the January 20, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics
From playlist Probability and Statistics
Shiri Artstein-Avidan: On optimal transport with respect to non traditional costs
Shiri Artstein-Avidan (University of Tel Aviv) On optimal transport with respect to non traditional costs After a short review of the topic of optimal transport, introducing the c-transform and c-subgradients, we will dive into the intricacies of transportation with respect to a cost wh
From playlist Trimester Seminar Series on the Interplay between High-Dimensional Geometry and Probability
Measure Equivalence, Negative Curvature, Rigidity (Lecture 3) by Camille Horbez
PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall
From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023
Stability of amenable groups via ergodic theory - Arie Levit
Stability and Testability Topic: Stability of amenable groups via ergodic theory Speaker: Arie Levit Affiliation: Yale University Date: January 27, 2021 For more video please visit http://video.ias.edu
From playlist Stability and Testability
Introduction to Infinite Limits in Calculus 1
Introduction to Infinite Limits in Calculus 1
From playlist Calculus 1 Exam 1 Playlist