In probability theory, Bennett's inequality provides an upper bound on the probability that the sum of independent random variables deviates from its expected value by more than any specified amount. Bennett's inequality was proved by George Bennett of the University of New South Wales in 1962. (Wikipedia).
Napier's Inequality (two visual proofs via calculus)
This is two short, animated visual proofs of the Napier's inequality: one using derivatives and one using integrals. This theorem bounds the reciprocal of the logarithm mean. #mathshorts #mathvideo #math #napierinequality #napier #inequality #logarithm #logarithmicmean #manim #animation #t
From playlist Inequalities
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
Differential Equations | Abel's Theorem
We present Abel's Theorem with a proof. http://www.michael-penn.net
From playlist Differential Equations
Karoly Boroczky - Equality in the Reverse Brascamp Lieb Inequality - IPAM at UCLA
Recorded 07 February 2022. Karoly Boroczky of the Renyi Institute of Mathematics presents "Equality in the Reverse Brascamp Lieb Inequality" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: The Reverse Brascamp Lieb inequality is a generalization of the Pre
From playlist Workshop: Calculus of Variations in Probability and Geometry
The adjoint Brascamp-Lieb inequality - Terence Tao
Analysis and Mathematical Physics Topic: The adjoint Brascamp-Lieb inequality Speaker: Terence Tao Affiliation: University of California, Los Angeles Date: March 08, 2023 The Brascamp-Lieb inequality is a fundamental inequality in analysis, generalizing more classical inequalities such a
From playlist Mathematics
Ciprian Demeter: Decoupling theorems and their applications
We explain how a certain decoupling theorem from Fourier analysis finds sharp applications in PDEs, incidence geometry and analytic number theory. This is joint work with Jean Bourgain. The lecture was held within the framework of the Hausdorff Trimester Program Harmonic Analysis and Part
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
Inequalities for Math Olympiad Lesson 1: The Basics
basic properties of inequality, and a few non-trivial examples.
From playlist Inequalities for Math Olympiad Series
Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - A.Winter
Andreas Winter (Barcelona) / 11.09.17 Title: Monogamy and faithfulness of quantum entanglement Abstract:Everybody knows that quantum entanglement is monogamous, according to Charles Bennett's wonderful metaphor. However, it has proved surprisingly difficult to capture this intuition in q
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
In this video, I state and prove Chebyshev's inequality, and its cousin Markov's inequality. Those inequalities tell us how big an integrable function can really be. Enjoy!
From playlist Real Analysis
István Pink: Number of solutions to a special type of unit equations in two unknowns
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 26, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
Gilles Pagès: Optimal vector Quantization: from signal processing to clustering and ...
Abstract: Optimal vector quantization has been originally introduced in Signal processing as a discretization method of random signals, leading to an optimal trade-off between the speed of transmission and the quality of the transmitted signal. In machine learning, similar methods applied
From playlist Probability and Statistics
This calculus 2 video tutorial provides a basic introduction into taylor's remainder theorem also known as taylor's inequality or simply taylor's theorem. This video contains a few examples and practice problems of estimating ln(1.1) and the square root of 1.2. Calculus Video Playlist: h
From playlist New Calculus Video Playlist
Decoupling in harmonic analysis and the Vinogradov mean value theorem - Bourgain
Topic: Decoupling in harmonic analysis and the Vinogradov mean value theorem Speaker: Jean Bourgain Date: Thursday, December 17 Based on a new decoupling inequality for curves in ℝd, we obtain the essentially optimal form of Vinogradov's mean value theorem in all dimensions (the case d=3
From playlist Mathematics
Jane Austen's 'Pride and Prejudice': Genre
Buy my revision guides in paperback on Amazon*: Mr Bruff’s Guide to GCSE English Language https://amzn.to/2GvPrTV Mr Bruff’s Guide to GCSE English Literature https://amzn.to/2POt3V7 AQA English Language Paper 1 Practice Papers https://amzn.to/2XJR4lD Mr Bruff’s Guide to ‘Macbeth’ htt
From playlist Jane Austen's 'Pride and Prejudice' Analysis
Covid vaccines are coming: What’s inside, and how and when you’ll get one I NOVA Now I PBS
Pending FDA approval, safe and effective COVID-19 vaccines could reach the first wave of Americans in a matter of weeks. Manufacturers of leading vaccine candidates are releasing promising results from clinical trials, revealing that some experimental vaccines, including those from Pfize
From playlist NOVA Now Podcast
EQUALITY RE-IMAGINED Keynote Address with Lani Guinier: "The Tyranny of the Meritocracy"
Lani Guinier gave the keynote address at a day-long event hosted by the Center for the Study of Inequality at the Yale Institution for Social and Policy Studies (ISPS). Guinier is the Bennett Boskey Professor of Law at Harvard Law School and her talk was based on her book, "The Tyranny of
From playlist The Institution for Social and Policy Studies (ISPS)
A neat limit with a clever trick
Limit of n^1/n using a clever trick In this video, I calculate the limit as n goes to infinity of n^1/n without using L'Hopital's rule, and instead by using a clever trick suggested by a subscriber. Namely, here I use the arithmetic mean-geometric mean inequality (AM-GM) and the squeeze t
From playlist Integrals
Carlo Gasbarri: Liouville’s inequality for transcendental points on projective varieties
Abstract: Liouville inequality is a lower bound of the norm of an integral section of a line bundle on an algebraic point of a variety. It is an important tool in may proofs in diophantine geometry and in transcendence. On transcendental points an inequality as good as Liouville inequality
From playlist Algebraic and Complex Geometry
Comparison Theorem for Improper Integral
Comparison Theorem for improper integral. How do we use the comparison test to see if an improper integral converges or not? For more calculus tutorials, please subscribe to https://www.youtube.com/c/justcalculus If you want to see more math for fun videos like this, then be sure to subsc
From playlist Stewart Calculus, Sect 7.8, Improper Integral