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
We calculate the functional form of some example spherical harmonics, and discuss their angular dependence.
From playlist Quantum Mechanics Uploads
Harmonic functions: Mean value theorem
Free ebook https://bookboon.com/en/partial-differential-equations-ebook What is the mean value theorem for harmonic functions are how is it useful? This video discusses and proves the main result. The ideas important in the formulation of maximum principles for partial differential equat
From playlist Partial differential equations
Lecture 1: Roal and Harmonic Analysis by Prof. Thiele
Lecture Series
From playlist Lecture Recordings
C67 The physics of simple harmonic motion
See how the graphs of simple harmonic motion changes with changes in mass, the spring constant and the values correlating to the initial conditions (amplitude)
From playlist Differential Equations
Fourier series + Fourier's theorem
Free ebook http://tinyurl.com/EngMathYT A basic lecture on how to calculate Fourier series and a discussion of Fourier's theorem, which gives conditions under which a Fourier series will converge to a given function.
From playlist Engineering Mathematics
http://mathispower4u.wordpress.com/
From playlist Solving Absolute Value Equations
An example of a harmonic series.
From playlist Advanced Calculus / Multivariable Calculus
Daniel Stern - Level set methods for scalar curvature on three-manifolds
We'll discuss a circle of ideas developed over the last few years relating scalar curvature lower bounds to the structure of level sets of solutions to certain geometric pdes on 3-manifolds. We'll describe applications to the study of 3-manifold geometry and initial data sets in general re
From playlist Not Only Scalar Curvature Seminar
Lecture 10 | Modern Physics: Quantum Mechanics (Stanford)
Lecture 9 of Leonard Susskind's Modern Physics course concentrating on Quantum Mechanics. Recorded March 10, 2008 at Stanford University. This Stanford Continuing Studies course is the second of a six-quarter sequence of classes exploring the essential theoretical foundations of modern
From playlist Course | Modern Physics: Quantum Mechanics
Transverse Measures and Best Lipschitz and Least Gradient Maps - Karen Uhlenbeck
Analysis Seminar Topic: Transverse Measures and Best Lipschitz and Least Gradient Maps Speaker: Karen Uhlenbeck Affiliation: University of Texas, Austin; Distinguished Visiting Professor, School of Mathematics Date: November 09, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
The Abel lectures: Hillel Furstenberg and Gregory Margulis
0:30 Welcome by Hans Petter Graver, President of the Norwegian Academy of Science Letters 01:37 Introduction by Hans Munthe-Kaas, Chair of the Abel Prize Committee 04:16 Hillel Furstenberg: Random walks in non-euclidean space and the Poisson boundary of a group 58:40 Questions and answers
From playlist Gregory Margulis
Euler-Mascheroni V: The Meissel-Mertens Constant
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From playlist Analysis
Lecture 21 (CEM) -- RCWA Tips and Tricks
Having been through the formulation and implementation of RCWA in previous lectures, this lecture discussed several miscellaneous topics including modeling 1D gratings with 3D RCWA, formulation of a 2D RCWA that incorporates fast Fourier factorization, RCWA for curved structures, truncatin
From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering
Xavier Tolsa: The weak-A∞ condition for harmonic measure
Abstract: The weak-A∞ condition is a variant of the usual A∞ condition which does not require any doubling assumption on the weights. A few years ago Hofmann and Le showed that, for an open set Ω⊂ℝn+1 with n-AD-regular boundary, the BMO-solvability of the Dirichlet problem for the Laplace
From playlist Analysis and its Applications
Euler-Mascheroni II: a NUCLEAR proof on the infinitude of primes
Follow the channel's Instagram: @whatthehectogon https://www.instagram.com/whatthehect... Check out these channels! Marching West (a DnD channel run by my friend Bill) https://www.youtube.com/channel/UCFNd... Twitter: @WestMarching https://twitter.com/WestMarching Instagram: @marchingwes
From playlist Analysis
How to determine the max and min of a sine on a closed interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points
From playlist Extreme Value Theorem of Functions