Sentence examples for generalized and discussed from inspiring English sources

Information on the microhardness determined by Vickers and nanoindentation tests, the elastic and electrical properties as well as the behavior at deformation/fracture and oxidation of TiB2, TiN and AlN films are generalized and discussed.

In the 'Generalized coordinate-dependent exponential NSL: action, modified Euler-Lagrange equation, and modified FRW cosmology' section, we discuss new types of exponential NSL which depend on the generalized coordinates and discuss their cosmological implications.

Behera et al. (2008) [9] introduce the concepts of generalized invariant monotone operators and generalized invex functions and discuss the relationships between generalized invariant monotonicity and generalized invexity.

In 2009, Fan et al. [2] presented some basic results for the generalized f-projection operator and discussed the existence of solutions and approximation of the solutions for generalized variational inequalities in noncompact subsets of Banach spaces.

The estimates for the effective bulk and shear moduli of isotropic particulate composites are finally obtained by using the generalized self-consistent scheme and discussed through numerical examples.

In this paper, we have developed and discussed a generalized difference method (GDM) for the approximation of a class of nonlinear evolution equations with integral items in one space dimension.

By using the special truncated expansion method, Hassan [8] constructed solitary wave solutions for the compound KdVB equation and discussed the generalized two-dimensional KdVB equation.

In [11], Bae et al. formulated nondifferentiable multiobjective programming problem and discussed duality results under generalized convexity.

In this section, we introduce a higher-order Mond-Weir type dual problem for a constrained set-valued optimization problem by virtue of the higher-order weakly generalized adjacent epiderivative and discuss its weak duality, strong duality and converse duality properties.

A generalized eigenproblem is formed and its normalizations are presented and discussed.

Therefore, it is very important and natural that generalized nonlinear ordered variational inequalities (ordered equation) are studied and discussed.