In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function where U is an open subset of that satisfies Laplace's equation, that is, everywhere on U. This is usually written as or (Wikipedia).
If the Laplacian of a function is zero everywhere, it is called Harmonic. Harmonic functions arise all the time in physics, capturing a certain notion of "stability", whenever one point in space is influenced by its neighbors.
From playlist Fourier
Lecture 1: Roal and Harmonic Analysis by Prof. Thiele
Lecture Series
From playlist Lecture Recordings
(New Version Available) Inverse Functions
New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/
From playlist Exponential and Logarithmic Expressions and Equations
Lecture 9.1 Periodic functions
Periodic functions are functions that repeat themselves at regular intervals. In this lecture, we discuss the properties of periodic functions.
From playlist MATH2018 Engineering Mathematics 2D
Complex analysis: Harmonic functions
This lecture is part of an online undergraduate course on complex analysis. We study the question: when is a function u the real part of a holomorphic function w=u+iv? An easy necessary condition is that u mist be harmonic. We use the Caucy-Riemann equations to show that this condition is
From playlist Complex analysis
Define an inverse function. Determine if a function as an inverse function. Determine inverse functions.
From playlist Determining Inverse Functions
Define a linear function. Determine if a linear function is increasing or decreasing. Interpret linear function models. Determine linear functions. Site: http://mathispower4u.com
From playlist Introduction to Functions: Function Basics
Define linear functions. Use function notation to evaluate linear functions. Learn to identify linear function from data, graphs, and equations.
From playlist Algebra 1
V. Markovic - Harmonic quasi-isometries between negatively curved manifolds
Very recently, Markovic, Lemm-Markovic and Benoist-Hulin, established the existence of a harmonic mapping in the homotopy class of an arbitrary quasi-isometry between rank 1 symmetric spaces. I will discuss these results and the more general conjecture which states that this result holds f
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
The Poisson boundary: a qualitative theory by Vadim Kaimanovich
Program Probabilistic Methods in Negative Curvature ORGANIZERS: Riddhipratim Basu, Anish Ghosh and Mahan Mj DATE: 11 March 2019 to 22 March 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore The focal area of the program lies at the juncture of three areas: Probability theory o
From playlist Probabilistic Methods in Negative Curvature - 2019
Euler-Mascheroni XII: A Couple Moments of Reflection
Channel social media: Instagram: @whatthehectogon https://www.instagram.com/whatthehect... Twitter: @whatthehectogon https://twitter.com/whatthehectogon Any questions? Leave a comment below or email me at the misspelled whatthehectagon@gmail.com Here I present a proof for the reflect
From playlist Analysis
Euler-Mascheroni X: The Trial of Jens
Channel social media: Instagram: @whatthehectogon https://www.instagram.com/whatthehect... Twitter: @whatthehectogon https://twitter.com/whatthehectogon Any questions? Leave a comment below or email me at the misspelled whatthehectagon@gmail.com In this video, I finally present the a
From playlist The Generalization War
Harmonic Maps between surfaces and Teichmuller theory (Lecture - 1) by Michael Wolf
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
2022 10 Dan Coman: Extension of quasiplurisubharmonic functions
CONFERENCE Recording during the thematic meeting : "Complex Geometry, Dynamical Sytems and Foliation Theory" the October 20, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathemat
From playlist Analysis and its Applications
We calculate the functional form of some example spherical harmonics, and discuss their angular dependence.
From playlist Quantum Mechanics Uploads
