Continued fractions | Diophantine approximation

Markov constant

In number theory, specifically in Diophantine approximation theory, the Markov constant of an irrational number is the factor for which Dirichlet's approximation theorem can be improved for . (Wikipedia).

Video thumbnail

The Euler Mascheroni Constant

I define one of the most important constants in mathematics, the Euler-Mascheroni constant. It intuitively measures how far off the harmonic series 1 + 1/2 + ... + 1/n is from ln(n). In this video, I show that the constant must exist. It is an open problem to figure out if the constant is

From playlist Series

Video thumbnail

How an Equilibrium Constant varies with Temperature - Thermodynamics - Physical Chemistry

Deriving a quantitative relationship to show how an equilibrium constant varies with temperature and so showing were Le Chatelier's Principle comes from in this context. Along the way, the Gibbs-Helmholtz van't Hoff equations are derived and used. My video for deriving the thermodynamics

From playlist Introductory Thermodynamics

Video thumbnail

Physics - Thermodynamics 2: Ch 32.1 Def. and Terms (9 of 23) What is the Gas Constant?

Visit http://ilectureonline.com for more math and science lectures! In this video I will give and explain what is the gas constant and how it was determined. Next video in this series can be seen at: https://youtu.be/8N8TN0L5xiQ

From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS

Video thumbnail

16 Equilibrium Constants

Senior Chemistry lesson on reaction kinetics and what the equilibrium constant represents and how to calculate.

From playlist Chemistry

Video thumbnail

What is the multiplicity of a zero?

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

Video thumbnail

Covariance - Explained

This educational video delves into how you quantify a linear statistical relationship between two variables using covariance! #statistics #probability #SoME2 This video gives a visual and intuitive introduction to the covariance, one of the ways we measure a linear statistical relation

From playlist Summer of Math Exposition 2 videos

Video thumbnail

What is multiplicity and what does it mean for the zeros of a graph

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

Video thumbnail

What are zeros of a polynomial

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

Video thumbnail

Concentration of quantum states from quantum functional (...) - N. Datta - Workshop 2 - CEB T3 2017

Nilanjana Datta / 24.10.17 Concentration of quantum states from quantum functional and transportation cost inequalities Quantum functional inequalities (e.g. the logarithmic Sobolev- and Poincaré inequalities) have found widespread application in the study of the behavior of primitive q

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

Video thumbnail

Joshua Bon - Twisted: Improving particle filters by learning modified paths

Dr Joshua Bon (QUT) presents "Twisted: Improving particle filters by learning modified paths", 22 April 2022.

From playlist Statistics Across Campuses

Video thumbnail

Max Fathi: Ricci curvature and functional inequalities for interacting particle systems

I will present a few results on entropic Ricci curvature bounds, with applications to interacting particle systems. The notion was introduced by M. Erbar and J. Maas and independently by A. Mielke. These curvature bounds can be used to prove functional inequalities, such as spectral gap bo

From playlist HIM Lectures: Follow-up Workshop to JTP "Optimal Transportation"

Video thumbnail

Regularized Functional Inequalities and Applications to Markov Chains by Pierre Youssef

PROGRAM: TOPICS IN HIGH DIMENSIONAL PROBABILITY ORGANIZERS: Anirban Basak (ICTS-TIFR, India) and Riddhipratim Basu (ICTS-TIFR, India) DATE & TIME: 02 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall This program will focus on several interconnected themes in modern probab

From playlist TOPICS IN HIGH DIMENSIONAL PROBABILITY

Video thumbnail

Non-stationary Markow Processes: Approximations and Numerical Methods by Peter Glynn

PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear

From playlist Advances in Applied Probability 2019

Video thumbnail

Probability on Kazhdan Groups (Lecture 2) by Gábor Pete

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall

From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023

Video thumbnail

Equidistribution of Measures with High Entropy for General Surface Diffeomorphisms by Omri Sarig

PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis

From playlist Ergodic Theory and Dynamical Systems 2022

Video thumbnail

Elisabeth Gassiat: Bayesian multiple testting for dependent data and hidden Markov... - lecture 2

HYBRID EVENT Recorded during the meeting "End-to-end Bayesian Learning Methods " the October 28, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's

From playlist Probability and Statistics

Video thumbnail

Christian P. Robert: Bayesian computational methods

Abstract: This is a short introduction to the many directions of current research in Bayesian computational statistics, from accelerating MCMC algorithms, to using partly deterministic Markov processes like the bouncy particle and the zigzag samplers, to approximating the target or the pro

From playlist Probability and Statistics

Video thumbnail

Learn how and why multiplicity of a zero make sense

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

Video thumbnail

Hamza Fawzi: "Sum-of-squares proofs of logarithmic Sobolev inequalities on finite Markov chains"

Entropy Inequalities, Quantum Information and Quantum Physics 2021 "Sum-of-squares proofs of logarithmic Sobolev inequalities on finite Markov chains" Hamza Fawzi - University of Cambridge Abstract: Logarithmic Sobolev inequalities play an important role in understanding the mixing times

From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021

Related pages

Hurwitz's theorem (number theory) | Uncountable set | Quadratic irrational number | Square root of 2 | Markov spectrum | Diophantine approximation | Lagrange number | Irrational number | Rational number | Continued fraction | E (mathematical constant) | Dirichlet's approximation theorem | Golden ratio | Peter Gustav Lejeune Dirichlet | Restricted partial quotients | Number theory | Markov number