Ordinary differential equations

Frobenius method

In mathematics, the method of Frobenius, named after Ferdinand Georg Frobenius, is a way to find an infinite series solution for a second-order ordinary differential equation of the form with and . in the vicinity of the regular singular point . One can divide by to obtain a differential equation of the form which will not be solvable with regular power series methods if either p(z)/z or q(z)/z2 are not analytic at z = 0. The Frobenius method enables one to create a power series solution to such a differential equation, provided that p(z) and q(z) are themselves analytic at 0 or, being analytic elsewhere, both their limits at 0 exist (and are finite). (Wikipedia).

Frobenius method
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C73 Introducing the theorem of Frobenius

The theorem of Frobenius allows us to calculate a solution around a regular singular point.

From playlist Differential Equations

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The Frobenius Problem - Method for Finding the Frobenius Number of Two Numbers

Goes over how to find the Frobenius Number of two Numbers.

From playlist ℕumber Theory

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Differential Equations | Frobenius' Method -- Example 1

From the desert, we present an example of a Frobenius series solution to a second order homogeneous differential equation. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Series Solutions for Differential Equations

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Power series solution to differential equations: a tutorial

Free ebook http://tinyurl.com/EngMathYT How to solve differential equations using power series. An example is discussed involving the method of Frobenius where linear differential equation (with variable coefficients) is solved by using a power series. The ideas are seen in university

From playlist A second course in university calculus.

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Differential Equations | Frobenius' Method part 2

From Garden of the Gods in Colorado Springs, we present a Theorem regarding Frobenius Series solutions to a certain family of second order homogeneous differential equations. An example is also explored. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Series Solutions for Differential Equations

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Differential Equations | Frobenius' Method: Example 2

We give an example of solving a second order differential equations using Frobenius' method. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Series Solutions for Differential Equations

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The Frobenius Problem - Problem Statement

Describes the Frobenius Problem and goes over some trivial cases

From playlist ℕumber Theory

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Differential Equations | Frobenius' Method part 1

From the bridge of the Starship Enterprise, we present a Theorem which will form the basis for a Frobenius solution to a certain family of 2nd order differential equations. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Series Solutions for Differential Equations

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The Frobenius Norm — Topic 18 of Machine Learning Foundations

In this video from my Machine Learning Foundations series, we’ll explore the Frobenius norm, a function that allows us to quantify the size of a matrix. We’ll use a hands-on code demo in NumPy to solidify our understanding of the topic. There are eight subjects covered comprehensively i

From playlist Linear Algebra for Machine Learning

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Lars Hesselholt: Around topological Hochschild homology (Lecture 2)

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From playlist HIM Lectures: Junior Trimester Program "Topology"

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34. Distance Matrices, Procrustes Problem

MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k This lecture conti

From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018

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Margins, perceptrons, and deep networks - Matus Telgarsky

Seminar on Theoretical Machine Learning Topic: Margins, perceptrons, and deep networks Speaker: Matus Telgarsky-2020-03-26 Affiliation: University of Illinois Date: March 26, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Lecture 17: Frobenius lifts and group rings

In this video, we "compute" TC of spherical group rings and more generally cyclotomic spectra with Frobenius lifts. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://

From playlist Topological Cyclic Homology

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David Zywina, Computing Sato-Tate and monodromy groups.

VaNTAGe seminar on May 5, 2020. License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.

From playlist The Sato-Tate conjecture for abelian varieties

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Abel formula

This is one of my all-time favorite differential equation videos!!! :D Here I'm actually using the Wronskian to actually find a nontrivial solution to a second-order differential equation. This is amazing because it brings the concept of the Wronskian back to life! And as they say, you won

From playlist Differential equations

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Marina Meilă: "Validation and Reproducibility by Geometry, for Unsupervised Learning"

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From playlist Machine Learning for Physics and the Physics of Learning 2019

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Cohomologies for rigid analytic varieties via motivic homotopy theory by Alberto Vezzani

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From playlist Perfectoid Spaces 2019

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Euler’s method - How to use it?

► My Differential Equations course: https://www.kristakingmath.com/differential-equations-course Euler’s method is a numerical method that you can use to approximate the solution to an initial value problem with a differential equation that can’t be solved using a more traditional method,

From playlist Differential Equations

Related pages

Ferdinand Georg Frobenius | Laurent series | Rational function | Analytic function | Regular singular point | Mathematics | Ordinary differential equation | Power series solution of differential equations | Fuchs' theorem