Sentence examples for a rigorous formulation from inspiring English sources
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.
The theory of Riemannian manifolds offers foundations for a rigorous formulation of boundary value problems that are often faced in many engineering applications.
Based on a rigorous formulation and analysis, a decentralized control system is structurally decomposed into separate SISO control loops with interactions unmasked.
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.
A rigorous formulation is contained in the following.
In this research, a more rigorous formulation along with a corresponding efficient and scale-invariant SBL algorithm are developed.
As a result, the ANN dramatically reduces the number of required trained datasets, and shows a good ability to approximate the limit state function and then provides a less rigorous formulation in the context of FORM.
The dynamical systems formalism captures all of the key aspects of thermodynamics, including its fundamental laws, while providing a mathematically rigorous formulation for thermodynamical systems out of equilibrium by unifying the theory of mechanics with that of classical thermodynamics.
This research work proposes an objective and rigorous formulation to optimize a launching nose of launched bridge under real constraints that a bridge designer can encounter in practice.
In this paper, a consistent and rigorous formulation is developed for the coupling of the G-equation model to an LES flow solver that describes the interactions of the scales of the flame, the turbulence, and the filtering procedure from the resolved turbulence regime to the broadened preheat regions regime.
