Sentence examples for distributions of functions from inspiring English sources

2, we cover moment generating functionals, which expand the definition of generating functions to cover distributions of functions, such as the trajectory of a stochastic process.

A recent example for deriving new results on distributions of functions of Gaussian vectors is given in ([Richter 2014]).

In addition, one can easily obtain complex distributions of functions of covariance components, like heritabilities, as a byproduct of the estimation process (Cappa and Cantet 2006).

The paper analyzes qualitatively the downstream evolution of the spatial distributions of functions of the turbulent variables in the wake region.

The result of Theorem 3.1 is actually true in much greater generality: namely, for distributions of functions of Markov chains {Y n }, where the underlying Markov chain {X n } has strictly positive transition probability matrix P, see [15] for review of several results of this nature.

The delta method is a general technique for asymptotic distributions of functions of random variables, based on Taylor series approximation [ 31], and the bootstrap is based on resampling the data with replacement and using the bootstrap replications to estimate the functions of interest [ 32].

The calculated results show that the bandwidths and number of PBGs can be tuned with different distributions of function dielectrics.

The distribution of functions among secretaries was initially based upon geography.

Here also there is a blend between the contemplative and the preaching life; the different Hindu orders place varying emphases on the one or the other, a distribution of functions that is similar to that within some Christian orders.

Additionally a novel architecture based on fail silent units which uses dynamic distribution of functions within the system is proposed.

The results show that under certain circumstances the macroscopic distribution of catalyst functions greatly affects the yields of intermediate products and suggest that the macroscopic distribution of functions can be an important variable in catalyst design.