Sentence examples for generating functional for from inspiring English sources

In the continuum limit, a generating functional for a function (x t)) on the real domain (tin[0,T]) is obtained by taking a limit of the generating functional for the vector (x_{j}).

In fact, the method was used to compute the generating functional for the Ornstein Uhlenbeck process.

Building on the previous section, here we derive a generating functional for SDEs.

Now the generating functional for the OU process (9) can be evaluated.

The goal is to derive a probability density functional (PDF) and moment generating functional for the stochastic variable (x t)).

(16) The generating functional for the OU process could be computed exactly because the SDE could be solved exactly.

They emphasize practical aspects such as how to use the response function method to obtain moments of the density, and go on to address moment generating functionals for ensembles of trajectories, functional integrals for SDEs, and Feynman diagrams, including semiclassical approximation via loop expansion.

One can write down the dynamics for generating functional of physically-relevant moments, equivalent to the whole moment hierarchy.

Taken together, the synergistic effects of scaffold-mediated REST knockdown and topographical cues from PD-modified nanofibers may be a useful strategy for generating functional neurons for therapeutic purposes.

The result of Equation 5 is deduced from the property of the probability generating functional (PGFL) for PPP, which for some function g(x), it satisfies E ∏ x ∈ Θ g x = exp − λ ∫ R 2 1 − g x d x [13], and λ is the density of the interference nodes.

From a tissue engineering[6] perspective, appropriate spatial, temporal and mechanical cues are likely to be necessary for differentiation of ESC-derived progenitors capable of generating functional substitutes for damaged or diseased tissue [2], [3], [7], [8].