Articles containing proofs | Theorems in real analysis | Theorems in measure theory
In the mathematical field of real analysis, Lusin's theorem (or Luzin's theorem, named for Nikolai Luzin) or Lusin's criterion states that an almost-everywhere finite function is measurable if and only if it is a continuous function on nearly all its domain. In the informal formulation of J. E. Littlewood, "every measurable function is nearly continuous". (Wikipedia).
An Introduction to Liouville Theory - Antti Kupiainen
Special Mathematics Physics Seminar Topic: An Introduction to Liouville Theory Speaker: Antti Kupiainen Affiliation: University of Helsinki Date: May 15, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Olivier Benoist: On the Lüroth problem for real varieties
Abstract: The Lüroth problem asks whether every unirational variety is rational. Over the complex numbers, it has a positive answer for curves and surfaces, but fails in higher dimensions. In this talk, I will consider the Lüroth problem for real algebraic varieties that are geometrically
From playlist Algebraic and Complex Geometry
The Schwarz Lemma -- Complex Analysis
Part 1 -- The Maximum Principle: https://youtu.be/T_Msrljdtm4 Part 3 -- Liouville's theorem: https://www.youtube.com/watch?v=fLnRDhhzWKQ In today's video, we want to take a look at the Schwarz lemma — this is a monumental result in the subject of one complex variable, and has lead to many
From playlist Complex Analysis
Nikos Frantzikinakis: Ergodicity of the Liouville system implies the Chowla conjecture
Abstract: The Chowla conjecture asserts that the signs of the Liouville function are distributed randomly on the integers. Reinterpreted in the language of ergodic theory this conjecture asserts that the Liouville dynamical system is a Bernoulli system. We prove that ergodicity of the Liou
From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi
Text search with Lucene (2 of 2)
Intro to using the Lucene text search library. For other programming videos, including a complete beginner's course, visit http://codeschool.org
From playlist Text search with Lucene
Boost the Search using Apache Solr | Edureka
Watch Sample Recording : http://www.edureka.co/apache-solr?utm_source=youtube&utm_medium=webinar&utm_campaign=solr-23-04-15 Apache Solr based on the Lucene Library, is an open-source enterprise Grade search engine and platform used to provide f
From playlist Webinars by Edureka!
Boost Your Search with Apache Solr | Solr Search Engine Tutorial | Edureka
( Apache Solr Certification Training - https://www.edureka.co/apache-solr-self-paced ) Watch Sample Recording : http://www.edureka.co/apache-solr?utm_source=youtube&utm_medium=referral&utm_campaign=boost-search-solr Apache Solr based on the Lucene Library, is an open-source enterprise Gr
From playlist Apache Solr Tutorial Videos
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
Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem
In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
Solr Architecture Tutorial | Solr Installation | Running Solr | Solr Tutorial | Edureka
( Apache Solr Certification Training - https://www.edureka.co/apache-solr-self-paced ) Watch the sample class recording: http://www.edureka.co/apache-solr?utm_source=youtube&utm_medium=referral&utm_campaign=solr-arch-instl Apache Solr based on the Lucene Library, is an open-source enterp
From playlist Apache Solr Tutorial Videos
Text search with Lucene (1 of 2)
Intro to using the Lucene text search library. For other programming videos, including a complete beginner's course, visit http://codeschool.org
From playlist Text search with Lucene
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
What is Solr Schema and Its Structure | Solr tutorial | Edureka
( Apache Solr Certification Training - https://www.edureka.co/apache-solr-self-paced ) Watch Sample Recording : http://www.edureka.co/apache-solr?utm_source=youtube&utm_medium=referral&utm_campaign=solr-schema Apache Solr based on the Lucene Library, is an open-source enterprise Grade se
From playlist Apache Solr Tutorial Videos
Solr Search Engine Tutorial | Solr Tutorial | Solr Tutorial for Beginners | Edureka
( Apache Solr Certification Training - https://www.edureka.co/apache-solr-self-paced ) Watch the sample class recording: http://www.edureka.co/apache-solr?utm_source=youtube&utm_medium=referral&utm_campaign=solr-srch-eng-tut Apache Solr based on the Lucene Library, is an open-source ente
From playlist Apache Solr Tutorial Videos
Dimitri Zvonkine - On two ELSV formulas
The ELSV formula (discovered by Ekedahl, Lando, Shapiro and Vainshtein) is an equality between two numbers. The first one is a Hurwitz number that can be defined as the number of factorizations of a given permutation into transpositions. The second is the integral of a characteristic class
From playlist 4th Itzykson Colloquium - Moduli Spaces and Quantum Curves
Daniel Lemire: The research paper should NOT be the final product | AISC
For slides and more information on the paper, visit https://aisc.ai.science/events/2020-03-03 Discussion lead: Daniel Lemire Discussion facilitator(s): Amir Feizpour
From playlist Science of Science
Kibana Tutorial | Kibana Dashboard Tutorial | Kibana Elasticsearch | ELK Stack Tutorial | Edureka
( ELK Stack Training - https://www.edureka.co/elk-stack-training ) This Kibana tutorial by Edureka will give you an introduction to the Kibana 5 Dashboard and help you get started with working on the ELK Stack. Below are the topics covered in this Kibana tutorial video: 1. Introduction To
From playlist ELK Stack Tutorial For Beginners
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
New-Age Search Through Solr | Edureka
Watch Sample Recording : http://www.edureka.co/apache-solr?utm_source=youtube&utm_medium=webinar&utm_campaign=solr-18-6-15 Apache Solr based on the Lucene Library, is an open-source enterprise Grade search engine and platform used to provide fa
From playlist Webinars by Edureka!
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