average curvature

average curvature

[¦av·rij ′kərv·ə·chər]
(mathematics)
For a given arc of a plane curve, the ratio of the change in inclination of the tangent to the curve, over the arc, to the arc length.
References in periodicals archive ?
He covers some basics, hydrophilic lipophilic balance: towards rational emulsions, net average curvature, emulsions, foams, problems, phase diagrams, and putting the principles into practice.
Average curvature reduction can be expected to be up to 17[degrees].
Dubins, "On curves of minimal length with a constraint on average curvature, and with prescribed initial and terminal positions and tangents," The American Journal of Mathematics, vol.
The spine should have some curve to it, but when someone is diagnosed with scoliosis, it is because the patient has greater than average curvature. The most common curvatures patients experience are "c" curves and "s" curves.
The buckling length is controlled by the nanostructural parameters of the turf which are the turf density, connectivity, and tortuosity (average curvature).
In contrast the probability of finding the average curvature around the peak of distribution (from 0.017 to 0.085 [nm.sup.-1]) decreases significantly in the presence of cholesterol.
curve distance, tangent angle and average curvature, are all considered to reflect the curve properties of contour.
Although the wind shear and its extrapolation have been studied in a number of papers [1-4], the periodical character of the average curvature was first reported in [5,6], without detailed analysis of the phenomenon.
Lot comparability was also ensured by the various measurements taken; for example, average top-end diameter differentials between lots were less than 0.06 cm, and average curvature differentials did not exceed 0.02 cm/m.
The precision of the average curvature measurement in human head hair.