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Solving a temperature problem of the theory of elasticity with a known thermoelastic potential is reduced to finding scalar- and vector-valued analytic functions of two complex variables that satisfy the boundary condition and are solutions of the basic and adjoint problems of elasticity theory respectively.
Ya. I. Burak, V. V. Pabirivs'kii
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An analysis is presented to predict the input variable subsets that give efficient disjunctive decompositions of complex combinatorial logic functions. A substantially smaller number of possible solutions, compared to all possible solutions, is predicted using a comparatively simple analysis, based on a count of the covers between tuples in the ...
J.T. Proudfoot, S.M. Ngwira
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A method for evaluation of the error function of real and complex variable by means of a trapezoidal sum with a correction term is proposed. This method gives a result with high relative accuracy with small number of operations. A precise upper bound of the relative error of the approximation for real variable is given.
Masatake Mori
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Choice of ADPCM's step-size updating factors M has a sea capacity of computing that optimizes multi-variables with complex target function. There is the effective scheme such as GA or MEA but its convergence rate becomes too slowly in the neighborhood of peak value of multi-peak function to come away from local optimization.
Gang Zhang +3 more
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IEEE Transactions on Cybernetics, 2018
Much research has been devoted to complex-variable optimization problems due to their engineering applications. However, the complex-valued optimization method for solving complex-variable optimization problems is still an active research area. This paper proposes two efficient complex-valued optimization methods for solving constrained nonlinear ...
Songchuan Zhang, Youshen Xia
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Much research has been devoted to complex-variable optimization problems due to their engineering applications. However, the complex-valued optimization method for solving complex-variable optimization problems is still an active research area. This paper proposes two efficient complex-valued optimization methods for solving constrained nonlinear ...
Songchuan Zhang, Youshen Xia
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Analysis of Stress Concentration for Curvilinear Holes by Complex Variable Function Method
Advanced Materials Research, 2011A solving method with complex variable function which is fit for numerical calculation for stress concentration phenomena on an infinite plate where there are curvilinear holes is described in this paper. According to the method, the computer programs are made to study the stress concentration problems with curvilinear holes (hexagonal form and oblate ...
Hong Li, Guang Lei Li, Da Lu Qiu
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Maximization Methods for Functions of a Complex Variable
Proceedings of the IRE, 1927The maxima and minima of a function of a real variable are found by equating to zero the derivative of the function. In the case of a function of a complex variable however the derivative is a vector quantity, so that conditions may be imposed upon its direction as well as upon its magnitude.
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Applied Mathematics and Computation, 2017
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Dai, Baodong +3 more
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Dai, Baodong +3 more
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Applied Mathematics and Computation, 2015
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Wei, Dandan +3 more
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Wei, Dandan +3 more
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