Sentence examples for of arbitrary variation from inspiring English sources

Simultaneously, through the layerwise method a semi-analytical solution is proposed for the case of arbitrary variation of the material properties.

The proposed method is shown to successfully regulate protein crystal shape, ranging from equidimensional to more elongated type of structures, in the presence of arbitrary variations of the protein concentration.

The strain at every point can thus be expressed in terms of nodal displacements, and it is then required that the stresses associated with these strains, through the stress-strain relations of the material, satisfy the principle of virtual work for arbitrary variation of the nodal displacements.

The exact solution is valid for thick and thin plates, and for arbitrary variation of material properties in the thickness direction.

The obtained analytical solution is valid for both thick and thin plates, and for arbitrary variation of material properties in the thickness direction.

Moreover, as the bottom row of Figure 4 shows, the facade design adapts to arbitrary variations of the underlying mass model.

We conclude that if (5.7) is satisfied, then for arbitrary variations of and.

Using a simultaneous Lyapunov function, stability is guaranteed for arbitrary variations of sampling periods and time delays chosen from finite sets.

The analytical solution is suited to arbitrary variations of material properties along the thickness direction, and can be readily degenerated into those for homogeneous plates.

(5) A text may have been written and transmitted after the establishment of a scholarly tradition, or it may show signs of "wild" and arbitrary variation dating from an age in which standards of exact verbal accuracy were low.

Our thinking about hypothetical moral scenarios has been shown to be highly sensitive to arbitrary variations, such as in the order of presentation.