For example, a Chaospy user can in a few lines of high-level computer code define custom distributions, polynomials, integration rules, sampling schemes, and statistical metrics for uncertainty analysis.
Solid-phase microextraction (SPME) is a powerful, simple, fast and an equilibrium-based sample preparation method that permits integration of sampling, sample clean-up, and pre-concentration in a single solvent-free step for chemical analysis.
For geometric optimization, the Brillion zone integration was sampled using a 4 × 4 × 8 Γ-centered k-point grid.
A kinetic energy cutoff is set to be 550 eV for the plane wave basis and the Brillouin zone integration is sampled by using a 8×8×6 Monkhorst-Pack grid.
It is imperative to obey such hardware and safety constraints to achieve the successful integration of CS sampling patterns with fast imaging pulse sequences.
Our approach is highly accurate, and very fast compared with alternatives, including grid search integration, importance sampling, and Markov Chain Monte Carlo (MCMC).
In this paper, a modified QRA methodology proposed recently, with the integration of sampling algorithms, surrogate models and error measures, is extended to a higher dimensional hydrocarbon pool fire problem.
Sufficient conditions are established which guarantee that the controller that renders the origin to be asymptotically stable for the approximate model also stabilizes the exact discrete-time model for sufficiently small integration and/or sampling parameters.
The primary parameters for synchronization include pulse integration, correlator sampling interval, and threshold settings.
