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With the proposed procedure, the approximate frequencies and the corresponding periodic solutions can be easily determined.
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This technical paper addresses an elementary analytic procedure for the approximate solution of the quasi-one-dimensional heat conduction equation (a generalized Bessel equation) that governs the temperature variation in annular fins of hyperbolic profile.
This study aimed to propose a procedure for the approximate and very fast Incremental Dynamic Analysis (IDA) and fragility assessment of plan-asymmetric structures using the 2DMPA (2 degrees of freedom Modal Pushover Analysis).
With the procedure, the excellent approximate frequencies and the corresponding periodic solutions can be easily obtained.
With the procedure, the excellent approximate frequencies and the corresponding periodic solutions can easily be obtained.
With the procedure, the analytical approximate frequency and the corresponding periodic solution, valid for small as well as large amplitudes of oscillation, can be obtained.
Comparisons of this methodology with the more standard defect-correction procedures, namely, the approximate factorization (AF) for structured grids and the ILU/GMRES for general grids, are then performed.
We describe a practical procedure to extract the approximate 3-D morphology of nanocrystals from single HAADF-HRSTEM images using the GMM classification approach.
It is hard to minimize Equation 11 which is nonlinear with respect to variable x, so we develop an iterative procedure to find the approximate solution.
The following theorem gives an estimate on the difference between x n ( t ) and x ( t ) under some special condition, and it clearly shows that one can use the Picard iteration procedure to obtain the approximate solutions to equations (2.1).
In theory, the above procedures can identify the approximate opening point of a candidate hinge loop for DS cases with large swapped domains possessing at least two SSEs.
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