Sentence examples for characterized by the correlation from inspiring English sources

The nonlinear dynamics of a gas solid circulating fluidized bed (CFB) was characterized by the correlation dimension and Kolmogorov entropy of time series of three different system variables with different spatio-temporal scales.

The correlation between both variables can be characterized by the correlation coefficient defined as [35] (33).

These vectors are characterized by the correlation matrices: R e = D = D(b) = diag(b) (a diagonal matrix with vector b at its principal diagonal), R n, and R u = < S ̃ R e S ̃ + > p + R n, respectively, where <·> pdefines the averaging performed over the randomness of Δ characterized by the usually unknown probability density function p, and superscript "+" stands for Hermitian conjugate.

These vectors are characterized by the correlation matrices:R e  D  D(b)  diag(b) (a diagonal matrix with vector b at its principal diagonal),, and + R n, respectively, where defines the averaging performed over the randomness of characterized by the probability density function p unknown to the observer, and superscript + stands for Hermitian conjugate (conjugate transpose).

To this end, it is shown that the CCI can be represented in terms of the eigenvalues and the angle difference between the eigenvectors of the transmit correlation matrix of the intended and CCI channel, and that the condition minimizing the CCI can be characterized by the correlation amplitude and the phase difference between the transmit correlation coefficients of these channels.

This variable is reported in more detail in Fig.  4, which illustrates the situation characterized by the correlation coefficient of 0.48 (Table  5), and presents the relation between biomass and differences in soil salinity between forested and control stands.

The etiologic heterogeneity of sub-types can be characterized by the correlations of the risks of the individual sub-types, with low (or negative) correlation representing high degrees of heterogeneity.

These levels appear to be defined by the type of spatial correlation characterized by the sampling correlation matrix R X.

The strength of a linear correlation between two variables can be characterized by the Pearson correlation coefficient r.

Instead of well defined independent domains as proposed by Adam and Gibbs, the cooperative regions can rather be identified here to short range order fluctuations whose spatial extent can be characterized by the associated correlation length.

A channel model characterized by the antenna correlation is used in the simulations.