Exactly solvable models

Spherical model

The spherical model is a model of ferromagnetism similar to the Ising model, which was solved in 1952 by T. H. Berlin and M. Kac. It has the remarkable property that for linear dimension d greater than four, the critical exponents that govern the behaviour of the system near the critical point are independent of d and the geometry of the system. It is one of the few models of ferromagnetism that can be solved exactly in the presence of an external field. (Wikipedia).

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Cylindrical Surfaces

This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/

From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates

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Introduction to Spherical Coordinates

Introduction to Spherical Coordinates This is a full introduction to the spherical coordinate system. The definition is given and then the formulas for converting rectangular to spherical and spherical to rectangular. We also look at some of the key graphs in spherical coordinates. Final

From playlist Calculus 3

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Definition of spherical coordinates | Lecture 33 | Vector Calculus for Engineers

We define the relationship between Cartesian coordinates and spherical coordinates; the position vector in spherical coordinates; the volume element in spherical coordinates; the unit vectors; and how to differentiate the spherical coordinate unit vectors. Join me on Coursera: https://www

From playlist Vector Calculus for Engineers

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The spherical pendulum in the Hamiltonian formalism

We continue with the spherical pendulum animation and discuss the difference between the major analytical mechanics approaches. Who won? You decide.

From playlist Programming

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Spherical juggling video

I made this spherical video using a Ricoh Theta S. You can view the video properly on Chrome, Firefox, and the YouTube app on your phone/tablet device.

From playlist Spherical video

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Spherical Coordinates - Denis Potapov

This video shows some basic facts about the classical spherical coordinates in vector calculus.

From playlist Dr Denis Potapov's videos

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Applications of rational spherical trigonometry I | Universal Hyperbolic Geometry 43 | NJ Wildberger

We review the basics of rational spherical/elliptic trigonometry, a cleaner more logical view of classical spherical trigonometry which is intimately linked with hyperbolic geometry. We illustrate the basic laws by having an in-depth look at a specific example of a spherical triangle, fo

From playlist Universal Hyperbolic Geometry

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Calculus 3 Lecture 11.7: Using Cylindrical and Spherical Coordinates

Calculus 3 Lecture 11.7: Using Cylindrical and Spherical Coordinates: Show how to convert between Rectangular, Cylindrical, and Spherical coordinates AND how to convert between Rectangular, Cylindrical, and Spherical Equations.

From playlist Calculus 3 (Full Length Videos)

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Rotating habitats combined with gravity | Driving into space

Some simplifications have been made. The earth is spherical... perfectly... deal with it. Music by natureseye (pixabay.com)

From playlist Summer of Math Exposition Youtube Videos

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Catherine Meusburger: Turaev-Viro State sum models with defects

Talk by Catherine Meusburger in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on March 17, 2021

From playlist Global Noncommutative Geometry Seminar (Europe)

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Spherical Transverse M5-branes from the Plane Wave Matrix Model by Goro Ishiki

Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography DATE:27 January 2018 to 03 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The program "Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography" aims to

From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography

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11b Data Analytics: Variogram Modeling

Lecture on variogram modeling.

From playlist Data Analytics and Geostatistics

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Tess Smidt - Learning how to break symmetry with symmetry-preserving neural networks - IPAM at UCLA

Recorded 26 January 2023. Tess Smidt of the Massachusetts Institute of Technology presents "Symmetry’s made to be broken: Learning how to break symmetry with symmetry-preserving neural networks" at IPAM's Learning and Emergence in Molecular Systems Workshop. Abstract: Symmetry-preserving (

From playlist 2023 Learning and Emergence in Molecular Systems

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17/11/2015 - Mihalis Dafermos - The stability problem for black holes...

The stability problem for black holes & the cosmic censorship conjectures https://philippelefloch.files.wordpress.com/2015/11/2015-ihp-mihalisdafermos.pdf

From playlist 2015-T3 - Mathematical general relativity - CEB Trimester

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Anthony Mezzacappa - Computational Challenges with Modeling Core Collapse Supernovae - IPAM at UCLA

Recorded 4 October 2021. Anthony Mezzacappa of the University of Tennessee presents "The Computational Challenges associated with Modeling Core Collapse Supernovae and their Gravitational Wave Emission" at IPAM's Workshop I: Computational Challenges in Multi-Messenger Astrophysics. Abstrac

From playlist Workshop: Computational Challenges in Multi-Messenger Astrophysics

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Michael Farber: Topology of large random spaces

The lecture was held within the framework of the Hausdorff Trimester Program : Applied and Computational Algebraic Topology I will discuss various models producing large random spaces (simplicial complexes and closed manifolds). The main goal is to analyse properties which hold with proba

From playlist HIM Lectures: Special Program "Applied and Computational Algebraic Topology"

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B-mode Grab Bag - M. Kamionkowski - 5/16/2014

Workshop on Primordial Gravitational Waves and Cosmology (May 16 - 17, 2014) Learn more about this workshop: http://burkeinstitute.caltech.edu/workshops Produced in association with Caltech Academic Media Technologies. © 2014 California Institute of Technology

From playlist Walter Burke Institute for Theoretical Physics - Workshop on Primordial Gravitational Waves and Cosmology (May 16 - 17, 2014)

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Sphere Investigation

Link: https://www.geogebra.org/m/D4hmNy9M

From playlist 3D: Dynamic Interactives!

Related pages

Ferromagnetism | Integral | Partition function (statistical mechanics) | Surface (mathematics) | Dirac delta function | Curie temperature | Ising model | Hypercube