Articles containing proofs | Theorems in ring theory | Module theory
In mathematics, more specifically non-commutative ring theory, modern algebra, and module theory, the Jacobson density theorem is a theorem concerning simple modules over a ring R. The theorem can be applied to show that any primitive ring can be viewed as a "dense" subring of the ring of linear transformations of a vector space. This theorem first appeared in the literature in 1945, in the famous paper "Structure Theory of Simple Rings Without Finiteness Assumptions" by Nathan Jacobson. This can be viewed as a kind of generalization of the Artin-Wedderburn theorem's conclusion about the structure of simple Artinian rings. (Wikipedia).
Robert Seiringer: The local density approximation in density functional theory
We present a mathematically rigorous justification of the Local Density Approximation in density functional theory. We provide a quantitative estimate on the difference between the grand-canonical Levy-Lieb energy of a given density (the lowest possible energy of all quantum st
From playlist Mathematical Physics
(PP 6.4) Density for a multivariate Gaussian - definition and intuition
The density of a (multivariate) non-degenerate Gaussian. Suggestions for how to remember the formula. Mathematical intuition for how to think about the formula.
From playlist Probability Theory
Automorphic Density Theorems - Valentin Blomer
Special Year Learning Seminar [REC DO NOT POST PUBLICLY] 10:30am|Simonyi 101 and Remote Access Topic: Automorphic Density Theorems Speaker: Valentin Blomer Affiliation: Universität Bonn Date: February 22, 2023 A density theorem for L-functions is quantitative measure of the possible fail
From playlist Mathematics
In this video, the Flipping Physics team discusses the concept of mass and density by comparing the mass and density of steel and wood. The team first addresses the misconception that steel is always more massive than wood, explaining that the mass of an object cannot be determined without
From playlist Fluids
Quantum Circuit Cosmology - S. Carroll - Workshop 1 - CEB T3 2018
Sean Carroll (California Institute) / 17.09.2018 Quantum Circuit Cosmology ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com/InHenriPo
From playlist 2018 - T3 - Analytics, Inference, and Computation in Cosmology
Teach Astronomy - Density Parameter
http://www.teachastronomy.com/ Another fundamental quantity of the big bang model is the density parameter. It's defined as the ratio of the mean density of the universe to the density just needed to overcome the cosmic expansion. The density parameter is denoted by the Greek symbol capi
From playlist 22. The Big Bang, Inflation, and General Cosmology
Katy Clough - Simulating fundamental fields in strong gravity environments - IPAM at UCLA
Recorded 27 October 2021. Katy Clough of the Queen Mary University of London presents "Simulating fundamental fields in strong gravity environments: opportunities and challenges" at IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation. Abstract: Whilst stationary, asymptot
From playlist Workshop: Mathematical and Numerical Aspects of Gravitation
David Borthwick: Asymptotics of resonances for hyperbolic surfaces
Abstract: After a brief introduction to the spectral theory of hyperbolic surfaces, we will focus on the problem of understanding the asymptotic distribution of resonances for hyperbolic surfaces. The theory of open quantum chaotic systems has inspired several interesting conjectures about
From playlist Mathematical Physics
From playlist Level 2 NCEA Physics
Nakayama's Lemma - April 12 2021
This is a video from by Abstract Algebra 4 course that took place in Spring 2021.
From playlist Course on Rings and Modules (Abstract Algebra 4) [Graduate Course]
A Multi-Scale Approach to Global Ocean Climate Modeling
Multi-Scale approach to Global Ocean Climate Modeling
From playlist SIAM Conference on Geosciences 2015
Joe Neeman: Gaussian isoperimetry and related topics II
The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Inna Entova-Aizenbud: Jacobson-Morozov Lemma for Lie superalgebras using semisimplification
I will present a generalization of the Jacobson-Morozov Lemma for quasi-reductive algebraic supergroups (respectively, Lie superalgebras), based on the idea of semisimplification of tensor categories, which will be explained during the talk. This is a joint project with V. Serganova.
From playlist Workshop: Monoidal and 2-categories in representation theory and categorification
Peter Stevenhagen: The Chebotarev density theorem
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 Jean-Morlet Chair - Shparlinski/Kohel
Math 101 091817 Introduction to Analysis 08 Density of the Rationals
Proof that given any pair of distinct real numbers, there is a rational number between them.
From playlist Course 6: Introduction to Analysis (Fall 2017)
Spectral Statistics of Sparse Random Graphs - Jiaoyang Huang
Short talks by postdoctoral members Topic: Spectral Statistics of Sparse Random Graphs Speaker: Jiaoyang Huang Affiliation: Member, School of Mathematics Date: September 25 For more video please visit http://video.ias.edu
From playlist Mathematics
[BOURBAKI 2018] 31/03/2018 - 1/3 - Gabriel RIVIÈRE
Gabriel RIVIÈRE — Dynamique de l'équation de Schrödinger sur le disque (d'après Anantharaman, Léautaud et Macià) Dans une série de travaux récents, Anantharaman, Fermanian–Kammerer, Léautaud et Macià ont développé des outils d’analyse semi–classique afin d’étudier la dynamique en temps lo
From playlist BOURBAKI - 2018
Radek Adamczak: Functional inequalities and concentration of measure I
Concentration inequalities are one of the basic tools of probability and asymptotic geo- metric analysis, underlying the proofs of limit theorems and existential results in high dimensions. Original arguments leading to concentration estimates were based on isoperimetric inequalities, whic
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Vladimir Bazhanov: Scaling limit of the six-vertex model and two-dimensional black holes
Abstract: In this talk I will report a detailed study of the scaling limit of a certain critical, integrable inhomogeneous six-vertex model subject to twisted boundary conditions. It is based on a numerical analysis of the Bethe ansatz equations as well as the powerful analytic technique o
From playlist Integrable Systems 9th Workshop