Sentence examples for probability density functional from inspiring English sources

This is in contrast with the probability density functional (P[x t)]) which is the probability density of all possible functions or paths (x t)).

For the comprehensive chemistry and fluid dynamics, a probability density functional (PDF) approach is used; with a kinetic scheme comprising 134 species and 4169 reactions being implemented.

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

The probability density functional is not normalized a priori, subsequent expressions have to be normalized by hand.

Finally, take (P^{epsilon}_{u_{0},n_{0}}) to be the probability density functional or law of the set of trajectories in ({mathcal{Y}}_{u_{0}}).

In general, the probability density functional is usually written in exponential form P[varphi]=e^{-S[varphi vec{x})]}, where (S[varP[varphi]=e^{-S[varphi vec{x}d the generating functional is often written as Z[J]}intmathcal{D}varphi e^{-S[varphi] + Jcdotvarphi}, where Jcdotvarphi= int J(vec{x})varphi(vec{x}), d^{n}x.

Power-law distributions are known to have statistical self-similarity resulting in the probability density function obeying a functional scaling law which is a renormalization group property.

The product performance of mass production is quantified as inner product of probability density function and performance-function depended on a functional dimension.

The KL estimator demonstrates that it is not necessary to estimate the probability density function in order to compute information theoretic functionals.

The PC-index probability distribution functions were fitted by the functional form proposed by Castaing et al. [Velocity probability density functions of high Reynolds number turbulence.

The particle filter with the sampling density given by the functional approach provides estimates that are closer to exact filtering probability density function in terms of point estimates.