A versatile method for preparing spherical, micro- and macroporous (micro: 2-10 and macro: 150-550 microm pores), carbonated apatitic calcium phosphate (Ap-CaP) granules (2-4 mm in size) was developed by using NaCl crystals as the porogen. The entire granule production was performed between 21 and 37 degrees C. A CaP cement powder, comprising alpha-Ca3(PO4)2 (61 wt.%), CaHPO4 (26%), CaCO3 (10%)...

We present a unified approach for constructing Slepian functions — also known as prolate spheroidal wave on the sphere arbitrary tensor ranks including scalar, vectorial, and rank 2 tensorial functions, using spin-weighted spherical harmonics. For special case of cap regions, we derived commuting operators, allowing numerically stable computationally efficient construction spherical-harmonic-ba...

Archimedes was the first to systematically find the centers of gravity of various solid bodies and to apply this concept in determining stable configurations of floating bodies. In this paper, we discuss an error in a proof developed by Archimedes that involves determining whether a uniform, spherical cap will float stably with its base horizontal in a liquid on a spherical Earth. We present a ...

FIGURE 1 Two-dimensional representation of a spherical structure presenting a morphological particularity on a portion of its surface . AB, arc corresponding to the cross-section of the cap of the sphere presenting the characteristic ; OA = OB = R; 0, angle defining the cap ; v, vector defining the secant planes. S I and S2 are two-dimensional representation of secant planes which intersect (S2...