# prolate spheroid

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Related to prolate spheroid: Prolate ellipsoid

## prolate spheroid

[′prō‚lāt ′sfir‚ȯid]
(mathematics)
The ellipsoid or surface obtained by revolving an ellipse about one of its axes so that the equatorial circle has a diameter less than the length of the axis of revolution. Also known as prolate ellipsoid.
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We have investigated analytically the asymptotic behavior of the reflected high-order modes induced by the presence of the so-called DtN2 absorbing boundary condition when employed for solving exterior Helmholtz problems with prolate spheroid shaped scatterers.
The axis lengths of a prolate spheroid can be estimated from its maximum area if a ratio of the minor axis to the major axis is assumed.
On the basis of visual inspection, available photographs, or general familiarity with an organism, each species was sorted into one of three general categories of overall body geometry: the sphere (L = D), the prolate spheroid (D [is less than] L [is less than or equal to] 3D; more or less terete cross section), and the cylinder (L [is greater than] 3D; terete or nonterete cross-sectional geometry).
The downside with the prolate spheroids is that percolation will occur for smaller volume fraction than spheroid particles.
In our study we approximate these particles by prolate spheroids.
If, however, the body of a prolate spheroid has a region of higher density in the rear half of the body, as postulated in the gravity-buoyancy model, G is located posterior to B and H (Fig.
15], we have further expanded our studies to Stokes flow problems around nonconvex bodies, such as the inverted prolate spheroids.
Since one semiaxis can be recovered from central section, we condition on the knowledge of its length and we are interested in the other semiaxis length, that is, A for prolate spheroids, C for oblate spheroids and D for profiles.
It is worth noting that diffraction and scattering by prolate spheroids are of continuous interest.
For prolate spheroids where b > a, [chi] is larger than 2, and for oblate spheroids where b < a, x is less than 2.
Deleuil, "Multiple scattering of electromagnetic waves from two prolate spheroids with perpendicular axes of revolution," Radio Science, Vol.
In fact, the parameter x equals 2 for a sphere, but for prolate spheroids where b > a ([[xi].

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