In geometric topology, a branch of mathematics, Moise's theorem, proved by Edwin E. Moise in , states that any topological 3-manifold has an essentially unique piecewise-linear structure and smooth structure. The analogue of Moise's theorem in dimension 4 (and above) is false: there are topological 4-manifolds with no piecewise linear structures, and others with an infinite number of inequivalent ones. (Wikipedia).
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
Proof of Lemma and Lagrange's Theorem
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div
From playlist Abstract Algebra
The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One
We finally get to Lagrange's theorem for finite groups. If this is the first video you see, rather start at https://www.youtube.com/watch?v=F7OgJi6o9po&t=6s In this video I show you how the set that makes up a group can be partitioned by a subgroup and its cosets. I also take a look at
From playlist Abstract algebra
Calculus - The Fundamental Theorem, Part 3
The Fundamental Theorem of Calculus. Specific examples of simple functions, and how the antiderivative of these functions relates to the area under the graph.
From playlist Calculus - The Fundamental Theorem of Calculus
This video proves Rolle's Theorem. http://mathispower4u.com
From playlist Rolle’s Theorem and the Mean Value Theorem
Theory of numbers: Congruences: Euler's theorem
This lecture is part of an online undergraduate course on the theory of numbers. We prove Euler's theorem, a generalization of Fermat's theorem to non-prime moduli, by using Lagrange's theorem and group theory. As an application of Fermat's theorem we show there are infinitely many prim
From playlist Theory of numbers
Day at Work: Ichthyologist (Fish Biologist)
Moises B. is an ichthyologist and Ph.D. Candidate working at the California Academy of Sciences. An ichthyologist is a fish biologist. His passion for ichthyology began at a young age when he used to snorkel in Panama, becoming really interested in all the creatures under the sea. Watch Mo
From playlist Career Examples
I. Gentil - Le problème de Schrödinger, un point de vue analytique (Part 3)
Ce cours est divisé en trois parties, le but étant de comprendre le problème de Schrödinger avec un point de vue analytique. Le premier cours porte sur le problème de Schrödinger. C’est un problème de minimisation de l’entropie sur un ensemble de mesures de probabilités sur les t
From playlist Rencontres du GDR AFHP 2019
PALO! "Al Monte" • Musica Cubana Salsa Jazz Funk
SPOTIFY: http://gp0.me/spotify (For English & lyrics click "SHOW MORE") Haga clic en “MOSTRAR MAS” para la letra. Nominado por el Grammy y Grammy Latino, desde Miami y con artistas de Cuba, y los Estados Unidos, PALO! mezcla salsa, jazz y funk para crear una nueva música latina que es supe
From playlist World
Amazon River Monster Project - Smarter Every Day 147
Vote for this video! http://www.projectforawesome.com/watch?v=MRA-Hr-sghg Support on Patreon!! https://www.patreon.com/notforgotten Direct Donation Link: https://notforgotten.kindful.com/ ⇊ More info! ⇊ THERE ARE KIDS IN AN ORPHANAGE AND NOT ON THE STREETS BECAUSE OF YOUR SUPPORT! Th
From playlist Smarter Every Day in Order
Kristof Huszar: On the Pathwidth of Hyperbolic 3-Manifolds
Kristof Huszar, Inria Sophia Antipolis - Mediterranee, France Title: On the Pathwidth of Hyperbolic 3-Manifolds Abstract: In recent years there has been an emergence of fixed-parameter tractable (FPT) algorithms that efficiently solve hard problems for triangulated 3-manifolds as soon as t
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Berge's lemma, an animated proof
Berge's lemma is a mathematical theorem in graph theory which states that a matching in a graph is of maximum cardinality if and only if it has no augmenting paths. But what do those terms even mean? And how do we prove Berge's lemma to be true? == CORRECTION: at 7:50, the red text should
From playlist Summer of Math Exposition Youtube Videos
Title: Generalized Gröbner bases and dimension polynomials of modules over some finitely generated noncommutative algebras
From playlist Applications of Computer Algebra 2014
Calculus 5.3 The Fundamental Theorem of Calculus
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
The House of Fragile Things: Jewish Art Collectors and the Fall of France
On May 12, the Yale Program for the Study of Antisemitism hosted a webinar with James McAuley, Global Opinions Contributing Columnist at the Washington Post, to discuss his new book “The House of Fragile Things: Jewish Art Collectors and the Fall of France.” In a 30-minute presentation,
From playlist Yale Program for the Study of Antisemitism Lecture Series
Math 101 Fall 2017 102517 Monotonic Sequences; Bolzano Weierstrass Theorem
Brief comments about monotonic sequences. Monotonic Sequence Theorem. Unbounded monotonic sequences converges to infinity. Bolzano-Weierstrass theorem: topological definitions (neighborhood, punctured neighborhood); accumulation point; examples. Statement and proof of Bolzano-Weierstra
From playlist Course 6: Introduction to Analysis (Fall 2017)
Olivier Wittenberg: Sur la conjecture de Hodge entière pour les solides réels
Résumé : Nous formulons un analogue de la conjecture de Hodge entière pour les variétés réelles. Celui-ci possède des liens étroits avec des propriétés classiques: existence d'une courbe réelle de genre pair, algébricité de l'homologie du lieu réel. Comme dans le cas complexe, la conjectur
From playlist Algebraic and Complex Geometry
Almost all dynamically syndetic sets are multiplicatively thick - Daniel Glasscock
Special Year Research Seminar Topic: Almost all dynamically syndetic sets are multiplicatively thick Speaker: Daniel Glasscock Affiliation: University of Massachusetts Lowell Date: November 22, 2022 If a set of integers is syndetic (finitely many translates cover the integers), must it c
From playlist Mathematics
Fundamentals of Mathematics - Lecture 26: Well-Definedness
course page: https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html videography - Eric Melton, UVM
From playlist Fundamentals of Mathematics