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Derivation of equations of motion, hydrodynamic coefficients.
The Supplementary Methods contain a detailed explanation of the DPL model and the derivation of equations for its mathematical description.
Algorithms are developed which can be implemented in computer programs for the derivation of equations.
It includes discussion of the derivation of equations, grid generation and solution algorithms for compressible, incompressible and hypersonic flows.
Data collection, reduction and analysis 7. Guidelines for the derivation of equations used in the text Part III.
This paper gives mathematical derivation of equations of motion for multi-disc, multi-layered rotor shaft-system.
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For the derivation of Equation 157, we set and in Equation 150.
The derivation of equation (1) is based on the topological field theory of time-reversal invariant insulators6.
Using Va = F V we can find an equivalent equation for the dynamics of live cells which shows that in this model the rates of proliferation and death are both time-dependent (see the supplementary text for a straightforward derivation of equation (2)).
13550_2013_149_MOESM1_ESM.pdf Additional file 1: Derivation of Equation 12.
We now give a derivation of equation (1.11).
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