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The accurate calculations for the temporal velocity of the particle and its correlation function can be realized by introducing an inertial term.
The other mechanism causing the temporal velocity change is the co- and post-seismic deformation in the deeper part of the crust caused by dislocation on the fault plane.
Theoretical dispersion curves were calculated for the V S profiles which were estimated by assuming no velocity change (light gray; same as that shown in Fig. 9a), and for the V S profiles which were recovered from the temporal velocity decreases with 5% (broken gray) and 10% (thin black) at the moment for the measurement.
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The coefficient of determination of the spatio-temporal regression of Equation (5), R2, describes the fraction of the variance in the binned spike-count that is linearly related to variations in the spatio-temporal velocity profile in the surrounding window.
The regression in Equation (5) was evaluated using truncated Singular Value Decomposition to stabilize the solution despite the large condition number of the spatio-temporal velocity matrix (around 106) [26], [26].
However, since the velocity values at different lags are correlated, the lag-by-lag analysis cannot be used to determine the fraction of the variance that is attributed to the spatio-temporal velocity profile.
A Stark decelerator produces beams of molecules with high quantum state purity, and small spatial, temporal and velocity spreads.
Test 4 (full system test) uses a MF detector as the input of the temporal processing velocity filter.
Results showed that manipulating the swimming environment impacts low-order (e.g., temporal, position, velocity or acceleration parameters) and high-order (i.e., spatial-temporal coordination) variables.
Cannata (2012) applied coda-wave interferometry to repeating volcano-tectonic earthquakes that occurred with about 3-h interval at Mt. Etna and obtained detailed temporal seismic velocity changes in the volcanic edifice.
A proper analysis, however, requires detailed knowledge on the exact spatial, temporal and velocity distribution of the reagent beams, as well as on the spatial and intensity distribution of the ionization laser(s).
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