Sentence examples for fundamental formulation from inspiring English sources

Their fundamental formulation is still mysterious but their existence was deduced from string theory.

These issues all mean that careful choice of assumptions in the identification model and fundamental formulation to account for uncertainty are necessary.

Generalised Hooke's Law is used to establish the relationship between dipole strengths and displacement discontinuities, which leads to the fundamental formulation of DDM for transversely isotropic materials.

Bayesian estimation strategies represent the most fundamental formulation of the state estimation problem available, and apply readily to nonlinear systems with non-Gaussian uncertainties.

The fundamental formulation introduced here will find application in the mechanics of composites, inclusions, phase transformation analysis, plasticity, fracture mechanics, etc.

We develop an alternative, fundamental formulation where the design space search is dependent on the coupling, and the goal of the topology optimization by penalty (TOP) method is to determine the optimal finite element coupling constraints.

On the basis of this solution, the fundamental formulations for toughening arising from martensitic and ferroelastic transformation are formulated also using the Green's function method.

The fundamental formulations for soil compaction are introduced first.

In this paper, the fundamental formulations on modeling soil compaction and tire mobility issues are further introduced.

Finally, some examples are provided to demonstrate the validity and relevance of the fundamental formulations proposed in the paper.

The FM-BEM combines the Fast Multipole Method (FMM) and Boundary Element Method (BEM), for which the fundamental formulations and numerical implementations are obtained.