Sentence examples for augmented correlation from inspiring English sources

For these calculations the Dunning augmented correlation consistent polarised valence quadruple zeta (aug-cc-pVQZ) basis set was used.

Augmented correlation consistent basis sets of quadruple-ζ (aug-cc-pVQZ) or better quality, including sets augmented with tight d-functions for the second row atoms, were used to ensure solutions close to the complete basis set limit.

aThat is, the augmented correlation function of w0 t) is R w 0 ( t, s ) = r 0 min ( t, s ) I 4 × 4, where I4×4is the four-dimensional identity matrix [17].

Given a quaternion random signal q(t)=q1 t) + q2 t)i + q3 t)j + q4 t k, with t∈[0,T, a complete description of the second-order characteristics of q(t) in the quaternion domain is attained by the augmented quaternion vector, q(t), or, equivalently, by the augmented correlation function, R q (t s)=E q(t qH s)].

The general quaternion Wiener process is defined as a quaternion {w(t),t∈[0,T]} such that its augmented correlation function R w (t,s) is of the form R w ( t, s ) = ∫ 0 t A dτ, 0 ≤ t ≤ s ≤ T (8).

Examination of a scree plot of eigen values of the augmented correlation matrix against the number of factors revealed the possibility of 2 or 3 higher order factors.

Concurrently, the infusion augments the correlation between sniffing and limbic theta oscillations.

We also demonstrate that inhibition of septal theta neurons reduces the frequency of sniffing-theta coherence, while odour infusion augments the correlation between sniffing and hippocampal theta rhythm.

For this purpose, the stochastic model of VLBI observations is augmented by additional correlations due to high-frequency refractivity fluctuations which can be best described stochastically using the widely known Kolmogorov turbulence theory.

The magnetic tracker was augmented by cross-correlation-based resampling [ 18] and a two-stage moving window average algorithm to enable high-resolution 3D position tracking and, thus, reconstruction of freehand OCT needle scans.

The method is based on a magnetic tracking system, which is augmented by cross-correlation-based resampling and a two-stage moving window average algorithm to improve upon the tracker's limited intrinsic spatial resolution, achieving 18 µm RMS position accuracy.