Sentence examples for arbitrary properties from inspiring English sources

It is shown that the PE mode is effective for investigating the crack problems of the FGMs with arbitrary properties.

The result is obtained by extending recent findings for water-wet systems but otherwise arbitrary properties (Schmid and Geiger, 2012) to the mixed-wet case.

By using the new model, the fracture problem of a functionally graded strip with arbitrary properties and a crack vertical to the free surfaces is studied.

A new model, piecewise-exponential model (PE model), is developed to investigate the crack problem of the functionally graded materials (FGMs) with arbitrary properties.

We consider both common properties of graphs, such as transitivity and reflexivity, and arbitrary properties expressible in certain fragments of modal logic.

Instances of the ot:Feature class (Appendix 9) are used to represent arbitrary properties, including chemical identifiers (e.g. STRUCTURE_ChemicalName_IUPAC), properties like molecular weight (e.g. STRUCTURE_MolecularWeight), or calculated descriptors (Appendix 5) and model predictions (Appendix 11).

What very few people know is that the county's residents are trapped in one of the most confusing, complex and seemingly arbitrary property tax systems imaginable.

Finally, the arbitrary property of n0 implies that (7) holds.

So we have (-2epsilonll x-yll2epsilon), which together with the arbitrary property of ϵ implies that (x=y).

where RH,i and y i are the volume and arbitrary property for particle 1 (i = 1) and particle 2 (i = 2).

Then by (10) and (11), p ( T x ∗, x ∗ ) ≪ ϵ, ∀ n ≥ n 2, which together with the arbitrary property of ϵ implies that p ( T x ∗, x ∗ ) = θ, and so T x ∗ = x ∗ by (p1) and (p3).