Sentence examples for translation coefficient from inspiring English sources

The obtained translation coefficient t z is corrected as ( {t}_z-{overline{alpha}}_x{t}_x-{overline{alpha}}_y{t}_y ) (for better convergence of t z ), where coefficients ( overline{alpha} ) are total rotation angles from all previous iterations (and are equal to zero at the beginning of algorithm).

The mean average with respect to translation coefficient \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau$$\end{document} τ of the magnitude of the wavelet transform is evaluated for each scale.

The resulting translation coefficients t x, t y, t z and rotation angles α x, α y are summed with corresponding translation coefficients ( overline{t} ) and angles ( overline{alpha} ) from the previous iteration.

Its parameters, i.e., translation coefficients and rotation angle, are estimated by comparing the zero-tilt images from both series.

The WNN based constraint-feasible meta-model is formulated via exterior penalty method to optimally determine interconnection weights and dilation and translation coefficients in the network.

In keeping with data from both distal femoral and proximal tibial simulations, there was a clear correlation between distance of the osteotomy to the CORA and resulting translation [correlation coefficient 0.99 (p < 0.0001) for all simulations].

The kinetics equations and parameters of Per1 and Per2 were the same as those of original Per except for the translation rate coefficient, which was divided in half because the PER protein represented the sum of the translational products of both genes.

According to the position of maximum correlation coefficient, the translation component could be compensated.

To achieve translation invariance, the first coefficient c 0 can be discarded because it is the only one that depends on translation.

Continuous wavelet transform is defined as (1) CWT (a, b ) = ∫ − ∞ ∞ x (t ) Ψ a, b ∗ (t ) d t, where x t) represents the analyzed signal and a and b represent the scaling factor (dilation/compression coefficient) and translation along time axis (shifting coefficient), respectively.

Another advantage of the MODWT is that the resulting wavelet coefficients are translation equivariant, meaning that circularly shifting the data results in the same shifting of the coefficients.