Theorems in analysis | Singularity theory

Malgrange preparation theorem

In mathematics, the Malgrange preparation theorem is an analogue of the Weierstrass preparation theorem for smooth functions. It was conjectured by René Thom and proved by B. Malgrange . (Wikipedia).

Video thumbnail

(ML 19.2) Existence of Gaussian processes

Statement of the theorem on existence of Gaussian processes, and an explanation of what it is saying.

From playlist Machine Learning

Video thumbnail

Distance point and plane the Lagrange way

In this video, I derive the formula for the distance between a point and a plane, but this time using Lagrange multipliers. This not only gives us a neater way of solving the problem, but also gives another illustration of the method of Lagrange multipliers. Enjoy! Note: Check out this vi

From playlist Partial Derivatives

Video thumbnail

Proof of Lemma and Lagrange's Theorem

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div

From playlist Abstract Algebra

Video thumbnail

1966-2016 : 50 ans de mathématiques

Film documentaire sur l'histoire du bâtiment de l'Institut Fourier.

From playlist 50 ans du bâtiment Institut Fourier

Video thumbnail

Theory of numbers: Gauss's lemma

This lecture is part of an online undergraduate course on the theory of numbers. We describe Gauss's lemma which gives a useful criterion for whether a number n is a quadratic residue of a prime p. We work it out explicitly for n = -1, 2 and 3, and as an application prove some cases of Di

From playlist Theory of numbers

Video thumbnail

Helene Esnault

https://www.math.ias.edu/files/media/agenda.pdf More videos on http://video.ias.edu

From playlist Mathematics

Video thumbnail

Solve a Bernoulli Differential Equation Initial Value Problem

This video provides an example of how to solve an Bernoulli Differential Equations Initial Value Problem. The solution is verified graphically. Library: http://mathispower4u.com

From playlist Bernoulli Differential Equations

Video thumbnail

Lagrange theorem

We finally get to Lagrange's theorem for finite groups. If this is the first video you see, rather start at https://www.youtube.com/watch?v=F7OgJi6o9po&t=6s In this video I show you how the set that makes up a group can be partitioned by a subgroup and its cosets. I also take a look at

From playlist Abstract algebra

Video thumbnail

Convolution Theorem: Fourier Transforms

Free ebook https://bookboon.com/en/partial-differential-equations-ebook Statement and proof of the convolution theorem for Fourier transforms. Such ideas are very important in the solution of partial differential equations.

From playlist Partial differential equations

Video thumbnail

F. Loray - Painlevé equations and isomonodromic deformations II (Part 2)

Abstract - In these lectures, we use the material of V. Heu and H. Reis' lectures to introduce and study Painlevé equations from the isomonodromic point of view. The main objects are rank 2 systems of linear differential equations on the Riemann sphere, or more generally, rank 2 connection

From playlist Ecole d'été 2019 - Foliations and algebraic geometry

Video thumbnail

The Bernstein Sato polynomial: Introduction

This is the first of three talks about the Bernstein-Sato polynomial. The second talk should appear at https://youtu.be/FAKzbvDm-w0 on Dec 22 5:00am PST We define the Bernstein-Sato polynomial of a polynomial in several complex variables, and show how it can be used to analytically con

From playlist Commutative algebra

Video thumbnail

Solve a Bernoulli Differential Equation (Part 2)

This video provides an example of how to solve an Bernoulli Differential Equation. The solution is verified graphically. Library: http://mathispower4u.com

From playlist Bernoulli Differential Equations

Video thumbnail

F. Loray - Painlevé equations and isomonodromic deformations II (Part 3)

Abstract - In these lectures, we use the material of V. Heu and H. Reis' lectures to introduce and study Painlevé equations from the isomonodromic point of view. The main objects are rank 2 systems of linear differential equations on the Riemann sphere, or more generally, rank 2 connection

From playlist Ecole d'été 2019 - Foliations and algebraic geometry

Video thumbnail

Bernard Malgrange 5/9/14 Part 1

Informal Session

From playlist Spring 2014

Video thumbnail

Interventions courtes - les anciens partagent leurs souvenirs

- Bernard Malgrange - Yves Colin de Verdière - Liane Valère - Patrick Witomski - Raoul Robert - Jacques Gasqui

From playlist 50 ans du bâtiment Institut Fourier

Video thumbnail

7 - La théorie de Galois différentielle, des origines à nos jours

Orateur(s) : B. Malgrange Public : Tous Date : mercredi 26 octobre Lieu : Institut Henri Poincaré

From playlist Colloque Evariste Galois

Video thumbnail

Bernard Malgrange 5/9/14 Part 3

Informal Session

From playlist Spring 2014

Video thumbnail

Math 031 Spring 2018 043018 Lagrange Remainder Theorem

Definition of Taylor polynomial; of remainder (error). Statement of Lagrange Remainder Theorem. Example.

From playlist Course 3: Calculus II (Spring 2018)

Video thumbnail

F. Loray - Painlevé equations and isomonodromic deformations II (Part 1)

Abstract - In these lectures, we use the material of V. Heu and H. Reis' lectures to introduce and study Painlevé equations from the isomonodromic point of view. The main objects are rank 2 systems of linear differential equations on the Riemann sphere, or more generally, rank 2 connection

From playlist Ecole d'été 2019 - Foliations and algebraic geometry

Related pages

Manifold | Henri Cartan | Formal power series | Maximal ideal | Sheaf (mathematics) | Weierstrass preparation theorem | Ring (mathematics) | Module (mathematics)