Partition functions

Vibrational partition function

The vibrational partition function traditionally refers to the component of the canonical partition function resulting from the vibrational degrees of freedom of a system. The vibrational partition function is only well-defined in model systems where the vibrational motion is relatively uncoupled with the system's other degrees of freedom. (Wikipedia).

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Poker concrete vibrator

Vibration is created by the rotation of the orange shaft carrying an eccentric mass.

From playlist Mechanisms

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The Two-Dimensional Discrete Fourier Transform

The two-dimensional discrete Fourier transform (DFT) is the natural extension of the one-dimensional DFT and describes two-dimensional signals like images as a weighted sum of two dimensional sinusoids. Two-dimensional sinusoids have a horizontal frequency component and a vertical frequen

From playlist Fourier

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Separation of Variables - Cylindrical Coordinates (Part 1)

A vibrating drum can be described by a partial differential equation - the wave equation. For a circular drum, the solution for the vibration can be found by using the technique of Separation of Variables in Cylindrical coordinates.

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Main video from sixty symbols at: http://youtu.be/Ehw8PTA4QkE

From playlist Periodic Table of Videos - Behind the Scenes

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Free ebook http://tinyurl.com/EngMathYT A basic example on how to determine resonance in a differential equation. The vibrating system is modelled and it is shown which values of the external forcing function will lead to resonance.

From playlist A second course in university calculus.

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Introduction to the z-Transform

http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Introduces the definition of the z-transform, the complex plane, and the relationship between the z-transform and the discrete-time Fourier transfor

From playlist The z-Transform

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From playlist Chemistry 131C: Thermodynamics and Chemical Dynamics

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From playlist Chemistry 131C: Thermodynamics and Chemical Dynamics

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From playlist Chem 131B: Molecular Structure & Statistical Mechanics

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Atomic Absorption Spectrometer Teardown

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From playlist Teardowns

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Lec 19 | MIT 3.320 Atomistic Computer Modeling of Materials

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From playlist MIT 3.320 Atomistic Computer Modeling of Materials

Related pages

Wavenumber | Planck constant | Boltzmann constant | Quantum harmonic oscillator | Partition function (mathematics) | Normal mode | Speed of light