Euclidean geometry | Geometric inequalities | Theorems in geometry | Metric geometry
In geometry, Jung's theorem is an inequality between the diameter of a set of points in any Euclidean space and the radius of the minimum enclosing ball of that set. It is named after Heinrich Jung, who first studied this inequality in 1901. Algorithms also exist to solve the smallest-circle problem explicitly. (Wikipedia).
C73 Introducing the theorem of Frobenius
The theorem of Frobenius allows us to calculate a solution around a regular singular point.
From playlist Differential Equations
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
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
Number Theory | Lagrange's Theorem of Polynomials
We prove Lagrange's Theorem of Polynomials which is related to the number of solutions to polynomial congruences modulo a prime.
From playlist Number Theory
Weil conjectures 1 Introduction
This talk is the first of a series of talks on the Weil conejctures. We recall properties of the Riemann zeta function, and describe how Artin used these to motivate the definition of the zeta function of a curve over a finite field. We then describe Weil's generalization of this to varie
From playlist Algebraic geometry: extra topics
Ancient Aliens: Extraterrestrial Geniuses (Season 9) | History
Some ancient astronaut theorists believe geniuses are able to access an otherworldly pool of knowledge given to us by our ancient ancestors in this clip from Season 9, Episode 4, "The Genius Factor". #AncientAliens Subscribe for more from Ancient Aliens and other great HISTORY shows: http:
From playlist Ancient Aliens: The Alien Connection to Famous Figures | History
Log del Pezzo surfaces of rank one by DongSeon Hwang
Algebraic Surfaces and Related Topics PROGRAM URL : http://www.icts.res.in/program/AS2015 DESCRIPTION : This is a joint program of ICTS with TIFR, Mumbai and KIAS, Seoul. The theory of surfaces has been the cradle to many powerful ideas in Algebraic Geometry. The problems in this area
From playlist Algebraic Surfaces and Related Topics
What is the Riemann Hypothesis?
This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation
From playlist Mathematics
Multivariable Calculus | The Squeeze Theorem
We calculate a limit using a multivariable version of the squeeze theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Representations of Galois algebras – Vyacheslav Futorny – ICM2018
Lie Theory and Generalizations Invited Lecture 7.3 Representations of Galois algebras Vyacheslav Futorny Abstract: Galois algebras allow an effective study of their representations based on the invariant skew group structure. We will survey their theory including recent results on Gelfan
From playlist Lie Theory and Generalizations
Phase transitions in hard-core systems by Deepak Dhar ( Lecture - 4 )
PROGRAM BANGALORE SCHOOL ON STATISTICAL PHYSICS - X ORGANIZERS : Abhishek Dhar and Sanjib Sabhapandit DATE : 17 June 2019 to 28 June 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This advanced level school is the tenth in the series. This is a pedagogical school, aimed at bridgin
From playlist Bangalore School on Statistical Physics - X (2019)
Nuclear C*-algebras: From quasidiagonality to classification and back again – W. Winter – ICM2018
Analysis and Operator Algebras Invited Lecture 8.20 Structure of nuclear C*-algebras: From quasidiagonality to classification and back again Wilhelm Winter Abstract: I give an overview of recent developments in the structure and classification theory of separable, simple, nuclear C*-alge
From playlist Analysis & Operator Algebras
Yang-Lee Zeros of Integrable Field Theories by Giuseppe Mussardo
PROGRAM: INTEGRABLE SYSTEMS IN MATHEMATICS, CONDENSED MATTER AND STATISTICAL PHYSICS ORGANIZERS: Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE : 16 July 2018 to 10 August 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
What is the difference between Vietoris-Rips and Cech complexes?
Title: What is the difference between Vietoris-Rips and Cech complexes? Abstract: We explain Vietoris-Rips and Cech simplicial complexes, both via examples, and via their mathematical definitions. These are two of the most common ways to measure the shape of data, for use in persistent ho
From playlist Tutorials
Richard Schoen - Positive Mass Theorem in All Dimensions [2018]
Name: Richard Schoen Event: Workshop: Mass in General Relativity Event URL: view webpage Title: Positive Mass Theorem in All Dimensions Date: 2018-03-26 @10:00 AM Location: 102 http://scgp.stonybrook.edu/video_portal/video.php?id=3552
From playlist Mathematics
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
Proof - The Chain Rule of Differentiation
This video proves the chain rule of differentiation. http://mathispower4u.com
From playlist Calculus Proofs
The paradox at the heart of mathematics: Gödel's Incompleteness Theorem - Marcus du Sautoy
Explore Gödel’s Incompleteness Theorem, a discovery which changed what we know about mathematical proofs and statements. -- Consider the following sentence: “This statement is false.” Is that true? If so, that would make the statement false. But if it’s false, then the statement is true.
From playlist New TED-Ed Originals
Number theory Full Course [A to Z]
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio
From playlist Number Theory
Freud, Jung, Luke Skywalker, and the Psychology of Myth: Crash Course World Mythology #40
In which Mike Rugnetta teaches you about Sigmund Freud and Carl Jung, and how a lot of their work was influenced by myth and mythology. While Freud and Jung aren't quite as revered as they once were, they were undoubtedly a huge influence on the practice of psychology and psychiatry, and t
From playlist Back to School - Expanded