Theorems in functional analysis | Theorems involving convexity

Ursescu theorem

In mathematics, particularly in functional analysis and convex analysis, the Ursescu theorem is a theorem that generalizes the closed graph theorem, the open mapping theorem, and the uniform boundedness principle. (Wikipedia).

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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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What is the Riemann Hypothesis?

This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation

From playlist Mathematics

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Paul Shafer:Reverse mathematics of Caristi's fixed point theorem and Ekeland's variational principle

The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: Caristi's fixed point theorem is a fixed point theorem for functions that are controlled by continuous functions but are necessarily continuous themselves. Let a 'Caristi

From playlist Workshop: "Proofs and Computation"

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Concavity and Parametric Equations Example

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Concavity and Parametric Equations Example. We find the open t-intervals on which the graph of the parametric equations is concave upward and concave downward.

From playlist Calculus

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Video3-4: Existence and Uniqueness Them; Definition of Wronskian. Elementary Differential Equations

Elementary Differential Equations Video3-4: Existence and Uniqueness Theorem; the Definition and applications of Wronskian on linear dependence Course playlist: https://www.youtube.com/playlist?list=PLbxFfU5GKZz0GbSSFMjZQyZtCq-0ol_jD

From playlist Elementary Differential Equations

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(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

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Differential Equations | Convolution: Definition and Examples

We give a definition as well as a few examples of the convolution of two functions. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Differential Equations

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C35 The Cauchy Euler Equation

I continue the look at higher-order, linear, ordinary differential equations. This time, though, they have variable coefficients and of a very special kind.

From playlist Differential Equations

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C36 Example problem solving a Cauchy Euler equation

An example problem of a homogeneous, Cauchy-Euler equation, with constant coefficients.

From playlist Differential Equations

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Calculus 1 (Stewart) Ep 22, Mean Value Theorem (Oct 28, 2021)

This is a recording of a live class for Math 1171, Calculus 1, an undergraduate course for math majors (and others) at Fairfield University, Fall 2021. The textbook is Stewart. PDF of the written notes, and a list of all episodes is at the class website. Class website: http://cstaecker.f

From playlist Math 1171 (Calculus 1) Fall 2021

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Equidistribution of Unipotent Random Walks on Homogeneous spaces by Emmanuel Breuillard

PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis

From playlist Ergodic Theory and Dynamical Systems 2022

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What is Green's theorem? Chris Tisdell UNSW

This lecture discusses Green's theorem in the plane. Green's theorem not only gives a relationship between double integrals and line integrals, but it also gives a relationship between "curl" and "circulation". In addition, Gauss' divergence theorem in the plane is also discussed, whic

From playlist Vector Calculus @ UNSW Sydney. Dr Chris Tisdell

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Real Analysis Ep 32: The Mean Value Theorem

Episode 32 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is more about the mean value theorem and related ideas. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker

From playlist Math 3371 (Real analysis) Fall 2020

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Pythagorean theorem - What is it?

► My Geometry course: https://www.kristakingmath.com/geometry-course Pythagorean theorem is super important in math. You will probably learn about it for the first time in Algebra, but you will literally use it in Algebra, Geometry, Trigonometry, Precalculus, Calculus, and beyond! That’s

From playlist Geometry

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Wolfram Physics Project: Working Session Sept. 15, 2020 [Physicalization of Metamathematics]

This is a Wolfram Physics Project working session on metamathematics and its physicalization in the Wolfram Model. Begins at 10:15 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the

From playlist Wolfram Physics Project Livestream Archive

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Johnathan Bush (7/8/2020): Borsuk–Ulam theorems for maps into higher-dimensional codomains

Title: Borsuk–Ulam theorems for maps into higher-dimensional codomains Abstract: I will describe Borsuk-Ulam theorems for maps of spheres into higher-dimensional codomains. Given a continuous map from a sphere to Euclidean space, we say the map is odd if it respects the standard antipodal

From playlist AATRN 2020

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Worldwide Calculus: Extrema and the Mean Value Theorem

Lecture on 'Extrema and the Mean Value Theorem' from 'Worldwide Differential Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Worldwide Single-Variable Calculus for AP®

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Stokes' Theorem and Green's Theorem

Stokes' theorem is an extremely powerful result in mathematical physics. It allows us to quantify how much a vector field is circulating or rotating, based on the integral of the curl. @eigensteve on Twitter eigensteve.com databookuw.com %%% CHAPTERS %%% 0:00 Stoke's Theorem Overview

From playlist Engineering Math: Vector Calculus and Partial Differential Equations

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Green's Theorem. Chris Tisdell UNSW

This is the 2nd lecture on Green's theorem and its use. In this lecture we explore some interesting applications of Green's theorem and present several examples. Also some proofs are discussed.

From playlist Vector Calculus @ UNSW Sydney. Dr Chris Tisdell

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(PP 6.3) Gaussian coordinates does not imply (multivariate) Gaussian

An example illustrating the fact that a vector of Gaussian random variables is not necessarily (multivariate) Gaussian.

From playlist Probability Theory

Related pages

Convex function | Metrizable topological vector space | Linear span | Functional analysis | Uniform boundedness principle | Convex series | Topological vector space | Convex analysis | Barrelled space | Open mapping theorem (functional analysis) | Closed graph theorem (functional analysis) | Fréchet space | Algebraic interior | Interior (topology) | Series (mathematics) | Locally convex topological vector space | Multivalued function | Q.E.D. | Closed graph theorem | Complete topological vector space