Sentence examples for sample functions and from inspiring English sources

The method is tested by applying it to the optimum approximation of some sample functions, and it turns out to be a natural quadratic approximation.

The effectiveness of this method is shown by estimating fractal dimensions for two sample functions and a number of natural and synthetic fibers.

The primary unstable region is delineated by evaluating the Lyapunov exponent of linearized system, and the response and jump of non-linear system around the unstable region are examined by using the sample functions and stationary probability density of amplitude and phase.

b For clarity, we will use bold letters to indicate stochastic processes as well as random variables, and normal letters are used for deterministic processes (sample functions) and realizations (outcomes) of random variables.

In the absence of view-sharing, no distortion artifacts are observed while spatial resolution is degraded.The use of a quasi-random sampling function and view-sharing driven by the average breathing curve provide a feasible method for self-sorted 4D MRI at reduced acquisition times.

Ability to classify such models as to issues of stationarity, Markovianness, kinds of asymptotic behavior, and sample function continuity and differentiability.

The simulated time histories do not require any iterations on the individual generated sample functions so that Gaussianity and prescribed coherence are suitably preserved.

Point process techniques, which played a key role in much of this work, were exploited to establish limit theory for a variety of nonextreme-based statistics such as the sample mean, the sample autocovariance function, and the sample autocorrelation function, for heavy-tailed data.

To evaluate the robustness of the algorithms to genotyping errors, the 1% of the genotypes from these datasets was randomly selected using the sample function of R and randomly changed.

A triple sampling method to have enabled excellent channel uniformity and high in-band energy efficiency is firstly proposed for the design of an ultrahigh-channel-count fiber Bragg grating (FBG), which is based on the simultaneous utilization of two amplitude-assisted phase sampling (AAPS) functions and a phase-only sampling (POS) function.

Clusters were attributed sequential numbers and sample function of STATA 7 (Stata Corp LP 2005) was used to generate random numbers.