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This paper deals with the basic formulation for the complex parameter based updating method and its use for dynamic design.
The basic formulation for the upstream and downstream acoustic power based on the analytical theory of Smith [Discrete frequency sound generation in axial flow turbomachines, Reports and Memoranda no.
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In this section, we recall some basic formulations for the fast multipole boundary element method.
Here, we follow Doyle et al. (2011) for the basic formulation of the two-layer system, but apply the BC model to the dilute layer and the AB model to the dense layer.
We note that to use this type of constraint for the basic formulation of the motif finding problem, the DEE methods given above have to be modified so as not to eliminate nodes taking part in near-optimal but not necessarily optimal solutions.
An isotherm equation for water adsorption in microporous carbons was derived from the basic formulation of the Do model, originally developed for activated carbons.
A basic formulation of the principle of epistemic closure states that if s has justification for believing p and s knows that p entails q, then s has (or potentially has) justification for believing q.
The basic formulations for hyperbolic conservation laws in 1- and 2D structured grids are detailed with the numerical results of widely used benchmark tests.
In this section, we give a summary of the basic formulation of the Sinc function [26].
Writing x for an (unknown) volume (in vector form), p for the measured projection data (also in vector form), and W for the tomographic system matrix, a basic algebraic formulation for the tomography problem is given by begin{aligned} min _x ||Wx - p ||_2^2.
In fact, by now the geoelectrical method involves, even in its most basic formulation, the solution of the Cauchy problem for Laplace's equation.
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