Sentence examples for analytically extending from inspiring English sources

The model performance is found analytically extending previous work on this matter.

This approach takes into account the a priori structural constraints of the synthesis problem, analytically extending the solution to the subdomain of synthesis as well as finding the tolerances for small perturbations of the objective functional.

This can be analytically extended to the layered half-space system.

Expressions are found for the eigenvalues and eigenfunctions of each cyclically symmetric segment, and the segment results are analytically extended to represent the entire structure.

The Peierls Nabarro model of the interfacial misfit dislocation array is analytically extended to a family of dislocations of greater widths.

Hence, as a function of α, the functions Ψ − α ( x, t ) ( x, t ∈ R ˜ q ) can be analytically extended by defining its values when ℜ α ≥ 1 by the left-hand sides of (4.6 - 4.9 4.6 - 4.9

For this purpose, the well known graphical method of predicting buckling loads, i.e., the Southwell's nondestructive method for columns is analytically extended to spherical shells and a new formula is derived for the critical buckling load of uniformly compressed spherical shells.

4, the Birman Schwinger operators K(k) from (4.1) extends analytically to (mathbb {C}{setminus }{0}).

In this work, we extend analytically the same criterion to superlinear Lane-Emden equations with integer polytropic indices (n > 1).

Let g be an analytic regular metrics in M, and let M 1 ⋑ M be the manifold where g is extended analytically.

For example, this happens ifMis generated by functions that extend analytically near a fixed boundary point and if ∂Ωis nice near this point.