Sentence examples for analytically available from inspiring English sources

Multivariate Gaussian distribution model is the only model for which the above-mentioned decomposition is analytically available (Deutsch 2002).

This type of direct search methods is designed for characterizing the decision making process where the players' objective functions are not analytically available.

Special attention is given to the case when the objective function, e.g., the system reliability, is not analytically available but has to be estimated through simulation.

To obtain a posterior PDF that is not analytically available in the complicated parameter space, an MCMC algorithm is proposed to sample a set of models in high-probability regions for the representation (or approximation) of the posterior PDF.

Upon considering oscillators with low yield levels and using analytically available information, physical reasoning, and approximations supported by empirical observation, an equation for the probability of the oscillator being in the plastic state is derived.

The method has been applied to the Duffing oscillator, and the results for the stationary jpdf and extreme values have been compared to analytically available results for which noise driven systems and to those obtained from extensive Monte Carlo simulations for Poisson driven systems.

This predictive quantity is available analytically using Kalman filtering techniques.

We formulate the Riemannian metric consistent with this theorem which is available analytically.

This analytically based, publicly available database will provide reliable estimates of vitamin and mineral content of dietary supplement (DS) products.

A complementary and alternative conceptual approach towards injury control known as systems thinking that builds on socioecological science, both methodologically and analytically, is readily available and fast developing in other research areas.

The advantage of this procedure is that expressions for the parameters of the equivalent linear system and the design point oscillations, which are needed to find the control process, are available analytically.