Existence and Uniqueness of Solutions (Differential Equations 11)
https://www.patreon.com/ProfessorLeonard THIS VIDEO CAN SEEM VERY DECEIVING REGARDING CONTINUITY. As I watched this back, after I edited it of course, I noticed that I mentioned continuity is not possible at Endpoints. This is NOT true, as we can consider one-sided limits. What I MEANT
From playlist Differential Equations
Math 131 Fall 2018 100818 Limits and Continuity in Metric Spaces
Limits of functions (in the setting of metric spaces). Definition. Rephrasal of definition. Uniqueness of limit. Definition of continuity at a point. Remark on continuity at an isolated point. Relation with limits. Composition of continuous functions is continuous. Alternate (topol
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
Definition of Continuity in Calculus Explanation and Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of Continuity in Calculus Explanation and Examples. - Definition of continuity at a point. - Explanation of the definition. - Examples of functions where the definition fails.
From playlist Calculus 1 Exam 1 Playlist
Continuity of functions and different types of discontinuities, and the relationship between continuity and differentialbility.
From playlist Calculus Chapter 2: Limits (Complete chapter)
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
Bourbaki - 16/01/2016 - 1/4 - Damien GABORIAU
Damien GABORIAU — Entropie sofique [d'après L. Bowen, D. Kerr et H. Li] L’entropie fut introduite en systèmes dynamiques par A. Kolmogorov. Initialement focalisée sur les itérations d’une transformation préservant une mesure finie, la notion fut peu à peu généralisée, jusqu’à embrasser l
From playlist Bourbaki - 16 janvier 2016
Continuity of functions and different types of discontinuities, and the relationship between continuity and differentialbility.
From playlist Calculus Chapter 2: Limits (Complete chapter)
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)
Alexander Bufetov: Determinantal point processes - Lecture 2
Abstract: Determinantal point processes arise in a wide range of problems in asymptotic combinatorics, representation theory and mathematical physics, especially the theory of random matrices. While our understanding of determinantal point processes has greatly advanced in the last 20 year
From playlist Probability and Statistics
How Karatsuba's algorithm gave us new ways to multiply
To advance the field of computer science, mathematician Kolmogorov tried to optimise the multiplication algorithm we learn in elementary school. After failing to do so, he conjectured that no faster algorithms exist. This gave rise to Karatsuba's fast multiplication algorithm, an algorithm
From playlist Summer of Math Exposition Youtube Videos
Applied Calculus – Section (2.3) Continuity Define Continuity informally and formally. Identify points of discontinuity, express continuous parts of a function using interval notations. Draw possible
From playlist Applied Calculus
Andrew Thomas (7/1/2020): Functional limit theorems for Euler characteristic processes
Title: Functional limit theorems for Euler characteristic processes Abstract: In this talk we will present functional limit theorems for an Euler Characteristic process–the Euler Characteristics of a filtration of Vietoris-Rips complexes. Under this setup, the points underlying the simpli
From playlist AATRN 2020
Andreï Kolmogorov: un grand mathématicien au coeur d'un siècle tourmenté
Conférence grand public au CIRM Luminy Andreï Kolmogorov est un mathématicien russe (1903-1987) qui a apporté des contributions frappantes en théorie des probabilités, théorie ergodique, turbulence, mécanique classique, logique mathématique, topologie, théorie algorithmique de l'informati
From playlist OUTREACH - GRAND PUBLIC
Nicola Garofalo: Hypoelliptic operators and analysis on Carnot-Carathéodory spaces
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Alexander BUFETOV : interview at CIRM
Alexander Bufetov CIRM 2014 Alexander Bufetov a obtenu son diplôme de Mathématiques à l'Université Indépendante de Moscou en 1999 et son doctorat à l'Université de Princeton en 2005. Après un an de post-doctorat à l'Université de Chicago, il est embauché comme Professeur Assistant par l
From playlist Jean-Morlet Chair's guests - Interviews
Of Particles, Stars and Eternity - Cedric Villani
Can one predict the future arrangements of planets over extremely large time periods? For centuries this issue has triggered dreams of curious people, and hot debates by specialists including Newton, Lagrange, Poincare, Kolmogorov, Laskar, and Tremaine. Villani explores the long time behav
From playlist Mathematics
Yakov Sinai - The Abel Prize interview 2014
00:15 beginnings, family influences 00:55 no Olympiad success 02:00 mathematical talent 02:30 schooling (WWII, USSR) 04:20 teachers 05:35 Moscow State University (Mekh mat) 07:40 mathematics vs. mechanics 08:52 Dynkin 10:13 Kolmogorov 10:35 Gel'fand 12:31 Rokhlin, Abramov 17:25 Dynamical s
From playlist The Abel Prize Interviews
Nexus Trimester - Andrei Romashchenko (LIRMM)
On Parallels Between Shannon’s and Kolmogorov’s Information Theories (where the parallelism fails and why) Andrei Romashchenko (LIRMM) February 02, 2016 Abstract: Two versions of information theory - the theory of Shannon's entropy and the theory of Kolmgorov complexity - have manifest
From playlist Nexus Trimester - 2016 - Distributed Computation and Communication Theme
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus