Sentence examples for the variance of the position from inspiring English sources

σ P is the variance of the position.

Exact formulas for the bias and the variance of the position estimation error are provided for two specific two-dimensional trajectories straight line and periodic.

We show that, in both two-dimensional and three-dimensional space, both the bias and the variance of the position estimation error grows at most linearly with time asymptotically.

For the three subjects used here, these components account for more than 95% of the variance of the positions of the several hundreds of fleshpoints for thirty visemes carefully chosen to span the entire articulatory space of each language.

We calculated the trajectories of all spiked-in probes (~500) using the results of our previous analysis of the hybridization isotherms (see refs. [ 18] and [ 16] for details) to estimate the variance of the positions of their starting- and maximum-points.

The variance of the sensor position error was 0.5 m2, the standard deviation of the LOS noise was 0.25 m, the bias was 1 m, the contamination ratio was 30%%, and sensors 3, 6, and 7 were the LOS/NLOS sensors.

Next an analytical expression for the variance of the inventory position is derived and used together with the bullwhip expression to determine suitable ordering system designs that minimise both bullwhip and inventory variance for a range of weightings between the two variances.

We assume that the sampling interval T and the variance of the measured position error B x are normalized to 1. Figure 2 shows the smoothing performance indices as a function of γ or Γ A-V for R v=1/2 and 7.

It appears to be a general organising principle that in the presence of noise that scales with the magnitude of the motor output, the CNS selects movement trajectories that minimise the variance of the terminal position of the limb [13].

Other factors being equal, the CNS preferentially adopts patterns of sensorimotor coordination, whereby the accentuated phase of the movement cycle is that which has the lowest force requirements, thus ensuring that the variance of the terminal position of the limb is minimised at the point of synchronisation.

The second quantity, the dispersion of mRNA, is measured by calculating the second moment μ2 of RNA positions: μ 2 = 1 N ∑ i − 1 N { (x i − x ‒ R N A ) 2 + (y − y ‒ R N A ) 2 + (z i − z ‒ R N A ) 2 = σ x 2 + σ y 2 + σ z 2 where N is the total number of mRNA molecules, xi, yi, zi are the coordinates of the ith mRNA, and σ x 2, σ y 2, σ z 2 are the variances of the positions.