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Portniaguine and Zhdanov (1999) demonstrated that the use of a MGS functional minimizes the area with a finite gradient of the model parameters and helps to generate focused images.
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On the other hand, scanning multiple genes from different ontology classes and with different functional properties minimizes the bias that may result from analyzing genes involved in only one type of function when assessing the impact of selection on genetic diversity (as for most previous enzyme-based diversity studies).
The governing functional is minimized with respect to the unknown coefficient of the coordinate function and with respect to the exponential parameter.
According to this, we proceed as follows: The image is divided into relatively small overlap-ping patches, and the energy functional is minimized on each particular patch independently by using a direct variational minimization.
The energy functional is minimized in accordance with the Ritz procedure to arrive at a governing eigenvalue equation.
This functional is minimized to identify the SSRVE for which the similarity in a statistical sense is optimal.
In order to derive the discretized eigenvalue equation, the kernel particle approximation is employed in the field variables and the energy functional is minimized through the Ritz procedure.
In the form finding problem, we use the total length of cables as the objective functional and minimize it without or with considering the constraint condition of perimeter.
The compliance functional is minimized under constraints imposed on the body mass, which means that the initially available mass is kept constant throughout the optimisation process.
A suitable cost functional is minimized via solving the derived Euler Lagrangian equation, of which the discretization is conducted on unstructured triangular meshes by employing a simple and effective finite volume scheme.
This paper reformulates the two-phase solidification problem (i.e., the Stefan problem) as an inverse problem in which a cost functional is minimized with respect to the position of the interface and subject to PDE constraints.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com