Sentence examples for using the ellipsoid theory from inspiring English sources
The objective function for the optimization problem is developed using the ellipsoid theory while the constraint functions are formulated from the complement set of the initially defined constraint set and the boundary of the available input space (AIS).
Open image in new window Fig. 2 Ranking using the ellipsoid method.
(a) The image point p 1 i = ( u 1, v 1 ) is associated with the point P 1 i = ( u 1, v 1, w 1 ) on the ellipsoid using the ellipsoid equation.
The tumor volume measurements were based upon MRI scans using the ellipsoid formula V = 0.52 × abc.
Volume of each tumor was calculated using the ellipsoid volume formula (π xyz/6 mm).
Table 1 summarizes the SAXS results obtained using the ellipsoid model.
Tumor volume was calculated using the ellipsoid volume formula: volume (mm) = π/6 (length) × (width) × (height).
Length, width and depth were measured and hence volume calculated using the ellipsoid formula (volume = length × width × depth × π/6) [ 12].
LV mass was measured by using the American Society of Echocardiography-recommended formula and the end-systolic left atrial volume was measured by using the ellipsoid model [ 19].
After the 3-month course of combination therapy, the average prostate volume decreased by 33.6% using the volumetric determination, and decreased by 34.6% using the ellipsoid volume determination.
Tumours were manually measured throughout the experiment in two dimensions, and the volume was calculated using the ellipsoid formula: volume = 1/2 * a * b2 (a = length, b = width) [ 21].
