Sentence examples for a rigorous formulation of from inspiring English sources

The theory of Riemannian manifolds offers foundations for a rigorous formulation of boundary value problems that are often faced in many engineering applications.

A rigorous formulation of the stress gradient Euler Bernoulli beam is provided; the response of this beam model is discussed as for its sensitivity to the stress gradient effects and compared with the analogous strain gradient beam model.

We have developed a new strategy for the numerical solution of MHD problems in bounded domains, which combines the flexibility of a local discretization with a rigorous formulation of magnetic boundary conditions next to an insulator in arbitrary geometries.

This has been achieved in two essentially different ways, the one providing a rigorous formulation of the idea of infinitesimal number, the other of infinitesimal magnitude.

From the mathematical point of view that makes infinity "larger" and provides exponential decay of waves which makes a rigorous formulation of expansions easier.

Over thirty years after Boltzmann's formulation of the ergodic hypothesis, Henri Lebesgue provided important groundwork for a rigorous formulation of the hypothesis in his development of measure theory, which is based in his theory of integration.

We provide a rigorous formulation for the principle of superposition which enables us to generalize the concept of steady state.

Birkhoff's paper provides a rigorous formulation and proof of Boltzmann's conjecture that was put forth over sixty years earlier.

In the 1920s Birkhoff and others gave this theorem a rigorous formulation in the language of dynamical systems and measure theory, the same setting as the ergodic theorem.

A rigorous formulation is contained in the following.

(See Clarke 1981 for a rigorous formulation, Randell et al. 1992 for developments).