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For a point force and point charge density applied at any location of the functionally graded half space, Green's functions are expressed in terms of one-dimensional infinite integrals.
The element's new hierarchical shape functions are expressed in terms of the shifted Legendre orthogonal polynomials.
The frequency response functions are expressed in terms of a dimensionless matrix which is estimated using the proposed energy approach.
The component functions are expressed in terms of extended bases and the unknown coefficients associated with the bases are determined by employing homotopy algorithm.
As the displacement functions are expressed in terms of weight functions, the accuracy will depend on the parameters of the weight functions.
On the spongy matrix side, the appropriate Green's functions are expressed in terms of the mass transfer properties without involving any chemical kinetic parameters; this avoids repetitive computational effort when treating different reaction kinetics.
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Subsequently, different parts of the objective function are expressed in terms of decision variables.
Subsequently different parts of the objective function were expressed in terms of 9 decision variables.
This function is expressed in terms of the capital cost and the operating cost, the later expressed in terms of the solar fraction f.
The rectangular chamber Green's function is expressed in terms of a finite number of rigid rectangular cavity mode shapes.
The (τ functions) solutions are expressed in terms of Wronski determinant.
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