The per-day distance moved was calculated by dividing the total distance between consecutive points by number of days passed (hence average distances moved are calculated for 24 hour periods).
This also indirectly insures the smoothness of the vehicle's acceleration profile between two consecutive points of the curve and of the entire path by controlling the curvature values at the extreme points of each composing Bézier curve segment.
The study identified two important factors in the problem's complexity: (1) The lack of a limit in the distance between the consecutive points of a structure; (2) The arbitrariness of the precision allowed in the input values.
This assumption is used to obtain Lemma 5 and Theorem 7. We also place an upper bound on the distance between consecutive points according to the structure of proteins.
Since toxicity varies widely and using a universal concentration series for all of the compounds was not feasible, we determined consistent ratios of increase between consecutive points in the concentration series for all compounds to allow comparison of toxicity among the various compounds.
Time series of temperature and specific electric conductivity were used to assess the apparent velocities of flow between consecutive points.
We calculate the Gini coefficient, G using the approximation of the Lorenz curve, where it is approximated on each interval as a line between consecutive points.
The separation between consecutive points and the pitch were set to 15 μm.
The tracts were first resampled to a resolution of 0.5 mm between two consecutive points, which corresponds to half of the resolution of T1-weighted images.
