We show that arbitrary convergence behavior of Ritz values is possible in the Arnoldi method and we give two parametrizations of the class of matrices with initial Arnoldi vectors that generates prescribed Ritz values (in all iterations). The second parametrization enables us to prove that any GMRES residual norm history is possible with any prescribed Ritz values (in all iterations), provided ...

In this study, the tensile strength, impact strength, and the hardness of the weld are determined. A criterion is proposed for describing the effect of residual stress on the weld mechanical properties. Dimensionless parameters such as Rya (the average of residual stress over the material yield strength), Rym (the maximum residual stress over the material yield strength), ...

Because composites and adhesive joints are made from different phases with different thermal expansion coefficients, they inevitably develop residual thermal stresses. When designing composites or adhesive joints, it is important to account for these residual stresses. It is not the magnitude of the residual stresses that matters, but rather the effect of those stresses on composite failure pro...

T he practice of aspirating gastric residual volumes (GRV) mysteriously appeared in nursing texts several decades ago, years after enteral nutrition (EN) surfaced as a feeding modality and became the standard of practice. It is difficult to trace the origins of the practice to actual clinical data or a formalized study. The basic premise behind assessing GRVs is founded on several presumptions:...

In this paper, a numerical solution procedure is presented for the free and forced vibration of a piezoelectric nanowire under thermo-electro-mechanical loads based on the nonlocal elasticity theory within the framework of Timoshenko beam theory. The influences of surface piezoelectricity, surface elasticity and residual surface stress are taken into consideration. Using Hamilton’s principle, t...

The central limit theorem (CLT) for the sample mean of iid rv's is known to be equivalent to the asymptotic normality condition (ANC) of Levy. And Levy's ANC is well known to be equivalent to an alternative ANC of Feller. Both are equivalent to a negligibility requirement, considered by O'Brien. More recently, additional equivalences have been developed in terms of the quantile function, by Cso...