Lattice multiplication is a multiplication method that allows you multiply any two numbers quickly using a table. It is especially useful in multiplying large numbers, with less mess and confusion than standard long multiplication. This method has many names - Lattice multiplication, gel
From playlist Math Tricks for Fast Multiplication
Dihedral Group (Abstract Algebra)
The Dihedral Group is a classic finite group from abstract algebra. It is a non abelian groups (non commutative), and it is the group of symmetries of a regular polygon. This group is easy to work with computationally, and provides a great example of one connection between groups and geo
From playlist Abstract Algebra
From playlist Exploratory Data Analysis
This video introduces lattice paths and explains how to determine the shortest lattice path.
From playlist Counting (Discrete Math)
Set Theory (Part 3): Ordered Pairs and Cartesian Products
Please feel free to leave comments/questions on the video and practice problems below! In this video, I cover the Kuratowski definition of ordered pairs in terms of sets. This will allow us to speak of relations and functions in terms of sets as the basic mathematical objects and will ser
From playlist Set Theory by Mathoma
Lattices, Hecke Operators, and the Well-Rounded Retract - Mark McConnell
Mark McConnell Center for Communications Research, Princeton University March 7, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Numerical mathematics of quasicrystals – Pingwen Zhang – ICM2018
Numerical Analysis and Scientific Computing Invited Lecture 15.8 Numerical mathematics of quasicrystals Pingwen Zhang Abstract: Quasicrystals are one kind of fascinating aperiodic structures, and give a strong impact on material science, solid state chemistry, condensed matter physics an
From playlist Numerical Analysis and Scientific Computing
Classical Toda chain as paradigm for the hydrodynamics.. (Lecture 1) by Herbert Spohn
PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is
From playlist Thermalization, Many Body Localization And Hydrodynamics 2019
Semiclassical Kinetic Theory of Integrable Systems by Vir Bulchandani
DISCUSSION MEETING : HYDRODYNAMICS AND FLUCTUATIONS - MICROSCOPIC APPROACHES IN CONDENSED MATTER SYSTEMS (ONLINE) ORGANIZERS: Abhishek Dhar (ICTS-TIFR, India), Keiji Saito (Keio University, Japan) and Tomohiro Sasamoto (Tokyo Institute of Technology, Japan) DATE: 06 September 2021 to 10
From playlist Hydrodynamics and fluctuations - microscopic approaches in condensed matter systems (ONLINE) 2021
Entropy in the evolution of almost integrable systems by Jorge Kurchan
PROGRAM ENTROPY, INFORMATION AND ORDER IN SOFT MATTER ORGANIZERS: Bulbul Chakraborty, Pinaki Chaudhuri, Chandan Dasgupta, Marjolein Dijkstra, Smarajit Karmakar, Vijaykumar Krishnamurthy, Jorge Kurchan, Madan Rao, Srikanth Sastry and Francesco Sciortino DATE: 27 August 2018 to 02 Novemb
From playlist Entropy, Information and Order in Soft Matter
Ken McLaughlin: Correlation functions for some integrable systems with random initial... - Lecture 2
Title: Correlation functions for some integrable systems with random initial data, theory and computation - Lecture 2 Abstract: We will investigate the form of spatio-temporal correlation functions for integrable models of systems of particles on the line. There are few analytical results
From playlist Probability and Statistics
Transport in Perturbed Integrable Anharmonic Chains by Stefano Lepri
PROGRAM CLASSICAL AND QUANTUM TRANSPORT PROCESSES: CURRENT STATE AND FUTURE DIRECTIONS (ONLINE) ORGANIZERS: Alberto Imparato (University of Aarhus, Denmark), Anupam Kundu (ICTS-TIFR, India), Carlos Mejia-Monasterio (Technical University of Madrid, Spain) and Lamberto Rondoni (Polytechni
From playlist Classical and Quantum Transport Processes : Current State and Future Directions (ONLINE)2022
How to construct the Leech lattice
This lecture describes an astonishingly simple construction of the Leech lattice in 24 dimensions, found by John Conway and Neal Sloane. This is an experimental joint video with @Lyam Boylan (https://www.tiktok.com/@yamsox/video/7057530890381053189) who added the animation, the thumbnai
From playlist Math talks
From classical to quantum integrability, and back - Vladimir Kazakov
Vladimir Kazakov École normale supérieure March 25, 2014 Hirota relations in their various incarnations play an important role in both classical and quantum integrable systems, from matrix integrals and PDE's to one-dimensional quantum spin chains and two dimensional quantum field theories
From playlist Mathematics
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
Thermalization in Classical Lattices by Hong Zhao
PROGRAM CLASSICAL AND QUANTUM TRANSPORT PROCESSES : CURRENT STATE AND FUTURE DIRECTIONS (ONLINE) ORGANIZERS: Alberto Imparato (University of Aarhus, Denmark), Anupam Kundu (ICTS-TIFR, India), Carlos Mejia-Monasterio (Technical University of Madrid, Spain) and Lamberto Rondoni (Polytechn
From playlist Classical and Quantum Transport Processes : Current State and Future Directions (ONLINE)2022
Generalized Hydrodynamics by Herbert Spohn
Foundation Day Lectures Generalized Hydrodynamics Speaker: Herbert Spohn (Technical University Munich, Germany) Date: 26 December 2020, 17:00 to 18:00 Venue: ICTS-TIFR, Online In 1757 Leonhard Euler discovered the equations governing the dynamical behavior of fluids. Since then th
From playlist Foundation Day Lectures
Introduction to sets || Set theory Overview - Part 1
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty
From playlist Set Theory
Classical Toda Chain as Paradigm for the Hydrodynamics ... (Lecture 2) by Herbert Spohn
PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is
From playlist Thermalization, Many Body Localization And Hydrodynamics 2019