Sentence examples for be obtained for special from inspiring English sources

Both models are solved effectively, and closed-form analytical solutions can be obtained for special cases.

From the strain energy functions (Eqs. (8) and (9)), stress-deformation relations can be obtained for special cases of stress (Fig. 2), such as uni-axial and bi-axial stress states (Gent 2012; Treloar et al. 1976).

Higher market prices might be obtained for special applications in food and/or pharmaceutical applications.

Closed-form expressions for this optimal number are obtained for special yet important cases.

Approximate analytical solutions are obtained for special nonlinear diffusion functional coefficient (variable thermal conduction) k(s)=s^{i} for i=1, 3, 5 and convection functional coefficient h(s)=s^{j} for j=1, 4 and power law parameter of n=0.2, 0.5, 1.0, 2.5.

Moreover, many inequalities of special means can be obtained for a particular choice of the function f.

These equations have been simplified and linearized to allow analytical expressions for the natural frequencies to be obtained for a number of special cases.

Such comparisons are important to validate the FE method, because exact results can be obtained for only a few special lamination and boundary cases, and cannot be applied to cylinders with non-uniform structural or loading characteristics, holes, etc.

Special licenses must be obtained for the smallest endeavors.

Another thing is, if these constraints are removed, special advantages may be obtained, for instance, adaptively adjusting the amount of particles according to the requirement of the system, and disregarding unbiasedness so as to preserve particle variety, alleviate impoverishment, or facilitate parallel processing.

Michigan's campus is dry, meaning a special temporary liquor license will be obtained for the game.