The data misfit ϕ d (m) is conventionally written as (14 where d is the data vector, here composed of the experimental (observed) internal coefficients, m is the model vector, and F is the functional solving the forward problem.
We pose this as the minimization of an energy functional and solve it by a variant of a dynamic programming approach called the Viterbi algorithm.
The convex feasibility problem (CFP) considered in [6] is a central problem in applied mathematics, which can be formulated in various ways to find a common point of closed and convex sets, to find a common fixed-point of nonexpansive mappings, to find a common minimum of convex functionals, to solve a system of variational inequalities.
One appropriate regularized functional was established, and the functional was solved by the sensitivity coefficient and Newton-Raphson iteration method.
The Euler Lagrange partial differential equations corresponding to the functional are solved efficiently via the half-quadratic algorithm.
The discretized coupled dynamic equation associated to the energy functional is solved in order to determine the vibratory and acoustic efficiency of the designed laminate.
There is formulated the issue of system decomposition into applied tasks clusters subject to automation and of initial documents used for automated systems functional tasks solving.
This couple of amino acids, together with neighboring lysine (K141) and two tryptophan residues (W145, W146), are found in all structures of functional Clds solved so far.
Coping strategies developed in response to a stressful event can be subdivided into "functional" (problem solving, cognitive re-structuring, and seeking social and emotional support) or "dysfunctional" (problem avoidance, social and emotional isolation, and guilt and self-criticism) [ 52].
Optimization of in vitro culturing of functional hepatocytes will solve the issues of limited cell numbers and limited function, and sufficient numbers of functional hepatocytes will be used to promote liver regeneration directly or indirectly.
