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On the other hand, it can be demonstrated that this design condition for optimization has never been studied in the literature of fin heat transfer before.
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Furthermore, several new equivalent optimality conditions for optimization problems with inequality constraints are obtained.
Traditionally, necessary optimality conditions for optimization problems are presented in Lagrange, F. John, or Karush-Kuhn-Tucker multiplier forms, with gradients used for smooth problems and subgradients for nonsmooth prob lems.
Jiang [13] studies the optimality conditions for optimization problems with second-order cone equilibrium constraints, the Aubin property of the second-order cone complementarity set and the smoothing methods for solving inverse linear programming problems and inverse linear second-order cone programming problems.
Therefore, the Karush-Kuhn-Tucker (KKT) conditions for optimization are sufficient and necessary for the optimality [5].
It was also found that well transmissibility is a vital factor to satisfy desired conditions for optimization process.
The adaptive ADCs employ simple internal digital processing units (DPUs) to compute the output codes, which creates the conditions for optimization of the conversion algorithm and improvement of their effective number of bits (ENOB) beyond ENOB of their conventional counterparts.
Also, model would be used in evaluation of various operation conditions for optimization of technical indicators of carbon dioxide absorption process (e.g. minimizing the heating and cooling requirements for carbon dioxide capture, design the control system of the process).
The conditions for optimization: begin{array}{*{20}l} palpha kS^{alpha-1}I^{beta} P^{gamma} N^{delta} =w_{1} end{array} (42).
Equations (11)–(14) are the Karush-Kuhn-Tucker conditions for optimization of ℑ θ with conditions ℒ θ [ 30].
Growth conditions for optimization of 2Me-BHT production in R. palustris TIE-1 WT and strain DKN1283.
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