In mathematics, a real differential one-form ω on a surface is called a harmonic differential if ω and its conjugate one-form, written as ω∗, are both closed. (Wikipedia).
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
An example of a harmonic series.
From playlist Advanced Calculus / Multivariable Calculus
C64 Transient and steady state terms
Showing that the solution to simple harmonic motion problems have transient and steady-state terms
From playlist Differential Equations
B04 Example problem of simple harmonic oscillation
Solving an example problem of simple harmonic oscillation, which requires calculating the solution to a second order ordinary differential equation.
From playlist Physics ONE
Find the particular solution given the conditions and second derivative
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Solve Differential Equation (Particular Solution) #Integration
B03 Simple harmonic oscillation
Explaining simple (idealised) harmonic oscillation, through a second-order ordinary differential equation.
From playlist Physics ONE
C07 Homogeneous linear differential equations with constant coefficients
An explanation of the method that will be used to solve for higher-order, linear, homogeneous ODE's with constant coefficients. Using the auxiliary equation and its roots.
From playlist Differential Equations
A first example problem solving a linear, second-order, homogeneous, ODE with variable coefficients around a regular singular point.
From playlist Differential Equations
C57 Alternate form of the solution
Writing the equation for simple harmonic motion in an alternate way.
From playlist Differential Equations
Michael Wolf - Sheared Pleated surfaces and Limiting Configurations for Hitchin's equations
Michael Wolf Sheared Pleated surfaces and Limiting Configurations for Hitchin's equations A recent work by Mazzeo-Swoboda-Weiss-Witt describes a stratum of the frontier of the space of SL(2,C) surface group representations in terms of 'limiting configurations' which solve a degenerate ver
From playlist Maryland Analysis and Geometry Atelier
Harmonic Maps between surfaces and Teichmuller theory (Lecture - 2) 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
Sheared Pleated surfaces and Limiting Configurations for Hitchin's equations by Michael Wolf
Surface Group Representations and Geometric Structures DATE: 27 November 2017 to 30 November 2017 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The focus of this discussion meeting will be geometric aspects of the representation spaces of surface groups into semi-simple Lie groups. Classi
From playlist Surface Group Representations and Geometric Structures
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
Quadratic differentials and measured foliations on Riemann surfaces by Subhojoy Gupta
Program : Integrable? ?systems? ?in? ?Mathematics,? ?Condensed? ?Matter? ?and? ?Statistical? ?Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan L
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
Math 135 Complex Analysis Lecture 08 021215: Harmonic Functions, Differentiation, Contour Integrals
Inverse function theorem (for analytic functions); harmonic functions; harmonic conjugates; (example of) non-existence of a harmonic conjugate; differentiating the exponential function, the principal branch of the logarithm; contours; contour integrals; examples of contour integration
From playlist Course 8: Complex Analysis
Higgs bundles, harmonic maps, and applications by Richard Wentworth
Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio
From playlist Higgs Bundles
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
Complex Analysis 04: Harmonic Functions
Complex Analysis 04. Harmonic functions and the harmonic conjugate
From playlist MATH2069 Complex Analysis
Considers the forced simple harmonic oscillator equation and the limit as the frequency of the force approaches the natural frequency of the oscillator. Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for
From playlist Differential Equations
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