Matrices | Exactly solvable models

Corner transfer matrix

In statistical mechanics, the corner transfer matrix describes the effect of adding a quadrant to a lattice. Introduced by Rodney Baxter in 1968 as an extension of the Kramers-Wannier row-to-row transfer matrix, it provides a powerful method of studying lattice models. Calculations with corner transfer matrices led Baxter to the exact solution of the hard hexagon model in 1980. (Wikipedia).

Corner transfer matrix
Video thumbnail

Column space of a matrix

We have already looked at the column view of a matrix. In this video lecture I want to expand on this topic to show you that each matrix has a column space. If a matrix is part of a linear system then a linear combination of the columns creates a column space. The vector created by the

From playlist Introducing linear algebra

Video thumbnail

3.2.3 Diagonal Matrices

3.2.3 Diagonal Matrices

From playlist LAFF - Week 3

Video thumbnail

The Diagonalization of Matrices

This video explains the process of diagonalization of a matrix.

From playlist The Diagonalization of Matrices

Video thumbnail

3.2.6 Symmetric Matrices

3.2.6 Symmetric Matrices

From playlist LAFF - Week 3

Video thumbnail

Ex: Find the Centroid of a Region Consisting of Three Rectangles

This video explains how to determine the centroid of a region consisting of three rectangles using three point masses. Site: http://mathispower4u.yolasite.com

From playlist Applications of Integration: Arc Length, Surface Area, Work, Force, Center of Mass

Video thumbnail

Ex: Find Two Unit Vectors Orthogonal to Two Given Vectors

This video explains how to use the cross product of two vectors to determine two unit vectors that are orthogonal to two given vectors. http://mathispower4u.com

From playlist Vectors in Space (3D)

Video thumbnail

Matrices: Inverse of 2x2 and 3x3 Matrix

This is the sixth video of a series from the Worldwide Center of Mathematics explaining the basics of matrices. This video deals with finding the inverse of a square 2x2 or 3x3 matrix. For more math videos, visit our channel or go to www.centerofmath.org

From playlist Basics: Matrices

Video thumbnail

Skew-symmetric Matrix | Don't Memorise

This video explains the concept of a Skew-Symmetric Matrix. ✅To learn more about, Matrices, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=uKPmyG18N7I&utm_term=%7Bkeyword%7D In this video, we will le

From playlist Matrices

Video thumbnail

The Identity Matrix

This video introduces the identity matrix and illustrates the properties of the identity matrix. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/

From playlist Introduction to Matrices and Matrix Operations

Video thumbnail

Richard Kenyon: "On the 5-Vertex Model"

Asymptotic Algebraic Combinatorics 2020 "On the 5-Vertex Model" Richard Kenyon - Yale University Abstract: This is based on joint work with Istvan Prause, Jan de Gier and Sam Watson. We study the “5-vertex model”, a generalization of the lozenge tiling model, or monotone non-intersecting

From playlist Asymptotic Algebraic Combinatorics 2020

Video thumbnail

Optical Magnification Explained

https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. In this video

From playlist Geometric Optics

Video thumbnail

Chris Godsil: Problems with continuous quantum walks

Continuous quantum walks are of great interest in quantum computing and, over the last decade, my group has been studying this topic intensively. As graph theorists, one of our main goals has been to get a better understanding of the relation between the properties of a walk and the proper

From playlist Combinatorics

Video thumbnail

Recent developments in Magnetism (Neutron Scattering: theoretical analysis) by Ying-Jer Kao

Program The 2nd Asia Pacific Workshop on Quantum Magnetism ORGANIZERS: Subhro Bhattacharjee, Gang Chen, Zenji Hiroi, Ying-Jer Kao, SungBin Lee, Arnab Sen and Nic Shannon DATE: 29 November 2018 to 07 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Frustrated quantum magne

From playlist The 2nd Asia Pacific Workshop on Quantum Magnetism

Video thumbnail

Solvable models of diffusion and many-body chaos (Lecture 2) by Tomaz Prosen

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

Video thumbnail

MLP-Mixer: An all-MLP Architecture for Vision (Machine Learning Research Paper Explained)

#mixer #google #imagenet Convolutional Neural Networks have dominated computer vision for nearly 10 years, and that might finally come to an end. First, Vision Transformers (ViT) have shown remarkable performance, and now even simple MLP-based models reach competitive accuracy, as long as

From playlist Deep Learning Architectures

Video thumbnail

Physics: Optics- Thick Lenses (26 of 56) Find All 7 Refracting Matrices

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the 7 refraction matrices for a system of lens of 2 lens and a 2-compound lens. Next video in this series can be seen at:

From playlist PHYSICS 55.3 THICK LENSES

Video thumbnail

Limit shapes and their analytic parameterizations – Richard Kenyon – ICM2018

Combinatorics | Probability and Statistics Invited Lecture 13.11 | 12.15 Limit shapes and their analytic parameterizations Richard Kenyon Abstract: A “limit shape” is a form of the law of large numbers, and happens when a large random system, typically consisting of many interacting part

From playlist Combinatorics

Video thumbnail

Matrices: Transpose and Symmetric Matrices

This is the third video of a series from the Worldwide Center of Mathematics explaining the basics of matrices. This video deals with matrix transpose and symmetric matrices. For more math videos, visit our channel or go to www.centerofmath.org

From playlist Basics: Matrices

Related pages

Partition function (statistical mechanics) | Orthogonal matrix | Expected value | Hard hexagon model | Ising model | Diagonal form | Spin (physics)