Sentence examples for functions of the sample from inspiring English sources
It is shown that the pore-throat size distribution density functions of the sample in different analysis scales are lognormal.
The PAH concentrations and their molecular distribution ratios were studied as functions of the sample location and the meteorological history.
Non-randomized CoD estimators, such as the resubstitution and leave-one-out CoD estimators, are deterministic functions of the sample data, which makes it possible an analytical formulation of their performance metrics.
The paper shows that the partial-error filtered-x affine projection algorithm in presence of stationary input signals converges to a cyclostationary process, that is, the mean value of the coefficient vector, the mean-square error and the mean-square deviation tend to periodic functions of the sample time.
This is the parameter value (hat {boldsymbol {theta }}) which maximizes (L {boldsymbol {theta }})= frac {1}{n}sum ^{n}_{i=1}log p({mathbf {Z}}_{i}; {boldsymbol {theta }})) of the log likelihood functions of the sample over the parameter space Θ, that is, L hat{{boldsymbol{theta}}}) =max_{{boldsymbol{theta}} in Theta} frac{1}{n}sum^{n}_{i=1} log p({mathbf{Z}}_{i}; {boldsymbol{theta}}). (4.32).
In particular, the variance of the estimator θ ^ i of the effect size parameter θ i in the i-th study is assumed to be of the form σ θ ^ i 2 = 1 + α n i γ σ i 2, where α(n i ) are some known functions of the sample sizes n i, σ i 2 is the within the i-th study variance, i = 1, 2, …, k and γ is interpreted as an intra class correlation parameter.
The impurity enrichment factors for such sampling devices are functions of the sampler size, and the sample vessel pressures before and after enrichment.
In order to describe the relaxation functions of the samples, it has been necessary to use two Kohlraush Williams Watts functions at each of the temperatures studied.
The temperature dispersion curves of the dynamic viscoelastic functions of the samples changed with aging time from the lower temperatures below Tg during aging at 60°C.
Application tests have shown that the sampler is a simple, accurate positioning, with the short sampling time, and the characteristics and functions of the sampling volume meet the requirements.
The work functions of the samples were measured as a function of the aniline surface coverage to identify the major product of the surface reaction.
