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Where a certain mathematical form for the electron beam is proposed to be a target function.
No specific mathematical form for this function is needed in this theory.
Closed-form dispersion equations are obtained in a very simple mathematical form for both electrically open and shorted cases.
We propose a new model that qualitatively behaves similar to the Hill kinetics, but has the same mathematical form for both activation and inhibition.
Working both in the laboratory and with theoretical calculations, he found many ways to put waves to work in fusion research in succeeding decades, and his 1962 book, "The Theory of Plasma Waves," codified the subject in mathematical form for the first time.
This article outlines a simple method to transform the fundamental relation between saturation pressure and temperature into a concise mathematical form for dew point temperatures of moist air that is applicable for normal comfort air conditioning systems.
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This study derives mathematical forms for the waves radiated from a heaving, surging and swaying point source on the surface of a three dimensional ocean.
Different mathematical forms for laminar fluid flows exist for the coupled CFD-DEM model as documented in published literatures and implemented in commercial and open-source software; each of them is based on certain physics assumptions and corresponding mathematical treatments.
Several mathematical forms for exchange rates were tested.
The mathematical form of the model for a three-level data structure (occupant-based data) is shown in Eq. (2): { ln }left[ {frac{{Pleft( {Y = 1} right)}}{{Pleft( {Y = 0} right)}}} right] = beta_{0} + mathop sum limits_{n = 1}^{N} beta_{n} X_{ijkn} + U_{jk} + V_{k}, (2 where P represents the probability of severity level (either 0, or 1).
We propose a different scheme here, in which despite the inherently different mathematical form of kinetic equations for ions and neutrals (e.g. Fokker Planck vs. Boltzmann collision integrals) both types of particle orbits can be integrated into one single code.
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