Sentence examples for analytically defining from inspiring English sources

This is accomplished by slightly enlarging the subdomain where continuum-scale equations are locally invalid and analytically defining physics-based coupling conditions at the interfaces separating the two computational sub-domains, while enforcing state variable and flux continuity.

In the case of the ∗-algebras with quadratic involutions, analytically defined representations are introduced, and irreducible analytically defined representations are described up to unitary equivalence using dynamical systems.

The skin effect on both stiffness and interfacial stress distribution is analytically defined.

Conjecturally this analytically defined invariant computes the complex-valued Reidemeister torsion, including its phase.

Thus, it is possible to construct analytically defined shapes as well as spline representation of complex geometry.

An Euler Bernoulli beam with analytically defined mode shapes is taken into consideration to represent the structural response.

In particular, methods are presented for displaying isovalue contour surfaces and region boundary surfaces, for rendering mixtures of analytically defined geometry and sampled fields, and for adding shadows and textures.

The novelty is that the proposed optimization model is analytically defined for two-objectives and it is able to find a compromise solution.

Thermal resistance was analytically defined for the LED module with multi LED packages and was confirmed by the experimental data obtained from the thermal transient method.

The approach puts forward the tourism environmental composite indicator (TECI) which is analytically defined, mathematically formulated and finally implemented for the case under study.

In the case of the ∗-algebras with involutions of the first order all analytically defined representations are shown to be one- dimensional.