Harmonic analysis

Gauss separation algorithm

Carl Friedrich Gauss, in his treatise Allgemeine Theorie des Erdmagnetismus, presented a method, the Gauss separation algorithm, of partitioning the magnetic field vector, B, measured over the surface of a sphere into two components, internal and external, arising from electric currents (per the Biot–Savart law) flowing in the volumes interior and exterior to the spherical surface, respectively. The method employs spherical harmonics. When radial currents flow through the surface of interest, the decomposition is more complex, involving the decomposition of the field into poloidal and toroidal components. In this case, an additional term (the toroidal component) accounts for the contribution of the radial current to the magnetic field on the surface. The method is commonly used in studies of terrestrial and planetary magnetism, to relate measurements of magnetic fields either at the planetary surface or in orbit above the planet to currents flowing in the planet's interior (internal currents) and its magnetosphere (external currents). Ionospheric currents would be exterior to the planet's surface, but might be internal currents from the vantage point of a satellite orbiting the planent. (Wikipedia).

Video thumbnail

What is Gaussian elimination?

Gaussian elimination example is discussed and the general algorithm explained. Such ideas are important in the solution of systems of equations.

From playlist Intro to Linear Systems

Video thumbnail

Gaussian Elimination and Gauss Jordan Elimination (Gauss Elimination Method)

Gaussian Elimination and Gauss Jordan Elimination are fundamental techniques in solving systems of linear equations. This is one of the first things you'll learn in a linear algebra class(or matrices class). Here's what you need to know about guassian elimination and guass jordan eliminati

From playlist Algebra

Video thumbnail

Gaussian Elimination: An algorithm for solving systems of linear equations

Gaussian Elimination is an algorithm for solving systems of linear equations with any number of unknowns. You don't have to be familiar with Linear Algebra to watch this video. This video is my entry for the Summer of Math Exposition 2 (#SoME2) by Grant Sanderson and James Schloss. -----

From playlist Summer of Math Exposition 2 videos

Video thumbnail

Matrices and Gaussian-Jordan Elimination PLEASE READ DESCRIPTION

I introduce the basic structure of matrices and then work through four examples of using Gaussian Elimination with matrix notation to solve systems of equations. Gaussian Elimination helps to put a matrix in row echelon form, while Gauss-Jordan Elimination puts a matrix in reduced row ech

From playlist PreCalculus

Video thumbnail

Gaussian Integral 7 Wallis Way

Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I calculate the Gaussian integral by using a technique that is very similar to the

From playlist Gaussian Integral

Video thumbnail

Gauss-Gordon Method (Gauss-Jordan Elimination analogy)

The Gauss-Gordon Method (Gauss-Jordan Elimination analogy) If you can follow a recipe, you can solve linear systems. This is because the Gauss-Jordan elimination method for solving linear systems is “algorithmic;” simply put, it just follows a prescribed set of steps. In this video, we

From playlist Linear Algebra

Video thumbnail

6A Matrix Reduction with Gauss Elimination-YouTube sharing.mov

The complicated issue of row reduction using elementary row operations (Gauss elimination).

From playlist Linear Algebra

Video thumbnail

Gaussian Integral 5 Volumes

Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I calculate the Gaussian integral by using a Fubini-type argument, namely by calcu

From playlist Gaussian Integral

Video thumbnail

Pre-Calculus Blueprint: Gauss-Jordan Elimination

To purchase the Pre-Calculus Blueprint, visit our online store here: http://bit.ly/1RdzMpo

From playlist The Mathematician's Blueprint: Pre-Calculus

Video thumbnail

Gauss's Easter Algorithm Day 4

More GAUSS -- Watch live at https://www.twitch.tv/simuleios

From playlist Easter

Video thumbnail

Jeff Erickson - Lecture 2 - Two-dimensional computational topology - 19/06/18

School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Jeff Erickson (University of Illinois at Urbana-Champaign, USA) Two-dimensional computational topology - Lecture 2 Abstract: This series of lectures will describe recent

From playlist Jeff Erickson - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects

Video thumbnail

Gauss's Easter Algorithm Day 16 / Finale!

Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/simuleios

From playlist Easter

Video thumbnail

Gauss's Easter Algorithm Day 7

More Gauss. This is taking a long longer than I thought! -- Watch live at https://www.twitch.tv/simuleios

From playlist Easter

Video thumbnail

Gauss's Easter Algorithm Day 13

Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/simuleios

From playlist Easter

Video thumbnail

Nithin Govindarajan: "Spline-based separable expansions for approximation, regression & classifi..."

Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop I: Tensor Methods and their Applications in the Physical and Data Sciences "Spline-based separable expansions for approximation, regression and classification" Nithin Govindarajan - KU Leuven, ESAT ST

From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021

Video thumbnail

Mod-01 Lec-24 Model Parameter Estimation using Gauss-Newton Method

Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org

Video thumbnail

Jeff Erickson - Lecture 1 - Two-dimensional computational topology - 18/06/18

School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Jeff Erickson (University of Illinois at Urbana-Champaign, USA) Two-dimensional computational topology - Lecture 1 Abstract: This series of lectures will describe recent

From playlist Jeff Erickson - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects

Video thumbnail

Gaussian Elimination

Gaussian elimination method to solve systems of equations, including row-echelon form and reduced row-echelon form. Link to the linear equations playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmD_u31hoZ1D335sSKMvVQ90

From playlist Linear Equations

Video thumbnail

Continued fractions, the Chen-Stein method and extreme value theory by Parthanil Roy

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

Related pages

Vector (mathematics and physics) | Poloidal–toroidal decomposition | Carl Friedrich Gauss | Spherical harmonics