Harmonic function

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Related lectures (32)

Explores sampling techniques in path integral molecular dynamics, including ring polymer potential and momenta reinsertion.

Mathematical Methods: Oscillations and Energy Transfer

Discusses oscillations, energy transfer, and the Green function in physics.

Electrostatics and Green's Functions: Mathematical Methods

Discusses electrostatics, Green's functions, and the application of complex analysis in deriving potentials.

Taylor's Formula in Two Variables

Explores Taylor's formula in two variables, emphasizing its application and importance for functions of a single variable.

Forced Harmonic Oscillator: Resonance

Explores the forced harmonic oscillator, damping, and resonance phenomenon, focusing on the amplitude of oscillations in resonance.

Taylor Polynomial: Order 2

Explores Taylor polynomials of order 2 and their applications in differential calculus and polar coordinates.

Fourier Transform: Diffusion Equation

Explores the derivation of the diffusion equation using Fourier transforms and discusses the significance of Dirac delta functions in mathematical analysis.

Harmonic Oscillations: Superposition

Explores the principle of superposition for harmonic oscillations and provides geometric interpretations and examples.

Harmonic Functions: Properties and Mean

Covers the properties of harmonic functions, focusing on the mean value property and the maximum principle.

Fourier Series: Harmonic Analysis

Covers the Fourier series representation of periodic signals and harmonic analysis.

Holomorphic Functions: Taylor Series Expansion

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Poisson Equation: Gravitation and Harmonic Functions

Explores the Poisson equation in gravitation, harmonic functions, and Newton potentials.

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