Fig. 2 Selected coordinate time series.
The formal uncertainties (σ ls) obtained using the LSE of velocities were scaled by the amount k = (mis/2 2 (Ching et al. 2011b), where k is the effect of daily coordinate variation presented in the coordinate time series and mis is the residual of calculations and observations for the time series for the east and north components, respectively.
Networks capable of performing frequency multiplication, and their various linear combinations, would allow a number of cellular processes or synthetic systems to be temporally coordinated on different time scales.
In [9], the notion of pseudospherical surfaces in asymptotic coordinates on time scales was presented by Cieslinski.
The second time scale, Coordinated Universal Time, or UTC, runs at the same rate as TAI, but has leap seconds added when necessary to keep the time within 0.9 seconds of mean solar time, which is based on the rotation of the earth with respect to the sun.
In contrast, the relaxation in other nuclear coordinates was on a much longer time scale (2 to 10 picoseconds) and depended critically on cluster size.
These head and ear movements coordinated with the bat's vocalizations, on a millisecond time scale, allowing the animal to pinpoint prey with considerably more accuracy.
The track data for each fish was exported as raw data into separate spreadsheets, providing spatial coordinates (x center and y center) across a time scale broken down into fractions of a second.
The coordinates of particle centroids were transformed into time-averaged mean square displacements (MSD), calculated as <Δ r >= [ x(t + τ) – x t)] + [ y(t + τ) – y(t)], where τ is time scale (or time lag), x and y are the corresponding particle coordinates at time t.
We present necessary and sufficient conditions which guarantee the existence of a coordinate change and output-dependent time scaling, such that in the new coordinates and with respect to the new time the system has linear error dynamics.
