ellipsoid

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ellipsoid

a geometric surface, symmetrical about the three coordinate axes, whose plane sections are ellipses or circles. Standard equation: x2/a2 + y2/b2 + z2/c2 = 1, where ?a, ?b, ?c are the intercepts on the x-, y-, and z- axes

ellipsoid

(i-lip -soid) A surface or solid whose plane sections are circles or ellipses. An ellipse rotated about its major or minor axis is a particular type of ellipsoid, called a prolate spheroid (major axis) or an oblate spheroid (minor axis).

Ellipsoid

 

a closed central quadric surface. An ellipsoid has a center of symmetry O (see Figure 1) and three axes of symmetry, which are called the axes of the ellipsoid. The plane sections of

Figure 1

ellipsoids are ellipses; in particular, one can always find a plane section that is a circle. In a suitable coordinate system the equation of an ellipsoid has the form

ellipsoid

[ə′lip‚sȯid]
(mathematics)
A surface whose intersection with every plane is an ellipse (or circle).
References in periodicals archive ?
Since [an] ellipsoid is nothing more than a simple deformation of a sphere, we wanted to see what effect that change of Shape would have on the packaging efficiency," Torquato explains.
In the course of processing, because of the deformable nature of the dispersed phase, a variety of morphologies can be formed in-situ, such as sphere, ellipsoid, rod, ribbon, plate, microfiber, co-continuous phase, and composite dispersed phase, depending on the properties of the components and the processing parameters (4-9).
One possible explanation for non-reappearance of stress-whitening in the healed section is that the direction of the applied tensile stress coincides with the the major axis of elongated (or collapsed) ellipsoid, such that the reopening of the elongated ellipsoid would not be possible.
Among the results obtained by this technique has been the calculation and subsequent visualization of a sheared suspension of ellipsoids.
Of course, as I need hardly tell you, eggs are not oranges, and to be sure that eggs are being packed optimally, we would need to know that a comparable theorem exists for oblate ellipsoids.
This result is extended in the final section to deal with the case that the support is an ellipsoid or the Cartesian product of two balls.
This defines an acceptable CMC color match ellipsoid in color space.
The volume of stable ellipsoids derived via optimization over LMIs and stable reflection vector polytopes for discrete-time polynomials n = 2 n = 3 n = 4 n = 5 Ellipsoid 2.
A visual model of correspondingly loose packed ellipsoids obtained by HADES is plotted in Fig.
The relationship between ellipsoids and melanomacrophage centres the spleen of turbot (Scophthalmus maximus).
For arc welds, accurate results are obtained with a power density distribution in which surfaces of constant power density are ellipsoids and on radial lines the power density obeys a Gaussian distribution (Goldak et al.