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In this functional respect, "Samuel Pepys" must be judged one of the most successful literary biographies of all time.
Our results suggest that the morphological parameters of the vertebra C2 that is situated at the border of the craniofacial area in a position distinguished in both a structural and functional respect could be efficiently used in interdisciplinary orthopedic-orthodontic diagnostics.
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Using Lagrange multipliers approach the derivative of the cost functional with respect to density function is calculated.
Rather than applying the Gauss-Newton algorithm [ 25, 26] for solving the minimization problem for ℱ we suggest to compute variations of this functional with respect to unknown functions [ 17, 27, 28].
We give a sufficient condition for the continuity of the Volterra variational derivative of a functional with respect to a fixed function.
The speed vector field driving the propagation of the level set function is given by the Eulerian derivative of an appropriately defined functional with respect to the free boundary.
This is a consequence of the invariance of total energy functional with respect to inversion of the magnetic dipoles.
These algorithms use as the main tool the derivative of the objective functional with respect to the reservoir permeability.
The topological derivative measures the sensitivity of a given shape functional with respect to an infinitesimal singular domain perturbation.
Sensitivity formula for arbitrary functional with respect to the interface shape variation is derived based on a boundary integral identity.
The gradient of the functional with respect to the geometry is calculated with the Lagrange multipliers, which are determined by solving acostateequation.
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CEO of Professional Science Editing for Scientists @ prosciediting.com