Clifford's geometric algebra has enjoyed phenomenal development over the last 60 years by mathematicians, theoretical physicists, engineers, and computer scientists in robotics, artificial intelligence data analysis, introducing a myriad of different often confusing notations. The Euclidean 3-space, natural generalization both well-known Gibbs-Heaviside vector Hamilton's quaternions, is used he...

SX Phoenicis (SXP) variables are short period pulsating stars that exhibit a period-luminosity (PL) relation. We derived the gri-band PL and extinction-free period-Wesenheit (PW) relations, as well period-color (PC) reddening-free period-Q-index (PQ) relations for 47 SXP in located 21 globular clusters using optical light curves taken from Zwicky Transient Facility (ZTF). These empirically were...

Granato et al. (2004) have elaborated a physically grounded model exploiting the mutual feedback between starforming spheroidal galaxies and the active nuclei growing in their cores to overcome, in the framework of the hierarchical clustering scenario for galaxy formation, one of the main challenges facing such scenario, i.e. the fact that massive spheroidal galaxies appear to have formed much ...

PURPOSE To report the clinicopathological findings of a Chinese patient with an unusual phenotype of gelatinous drop-like corneal dystrophy (GDLD) combined with spheroidal degeneration and to detect molecular defect in the tumor-associated calcium signal transducer 2 (TACSTD2) gene. METHODS Extensive physical and ophthalmologic examination of the patient was performed. Initially superficial k...

The temperatures of prolate and oblate spheroidal dust grains in the envelopes of stars of various spectral types are calculated. Homogeneous particles with aspect ratios a/b ≤ 10 composed of amorphous carbon, iron, dirty ice, various silicates, and other materials are considered. The temperatures of spherical and spheroidal particles were found to vary similarly with particle size, distance to...

Enhancement in backscattering known as glory scattering results from geometric and material properties of spherically symmetric scatterers. The wave-front shape near the spherical scatterer is locally a circular torus. Radiation from a toroidal wave front is axially focused on the backward-directed axis. It is shown that the axial point caustic unfolds to an astroid caustic as the scatterer's s...

The discrete prolate spheroidal sequences (DPSSs) are a set of orthonormal in ℓ2(Z) which strictly bandlimited to frequency band [−W,W] and maximally concentrated time interval {0,…,N−1}. timelimited DPSSs (sometimes referred as the Slepian basis) an vectors CN whose Fourier transform (DTFT) is [−W,W]. Due these properties, have wide variety signal processing applications. eigensequences timeli...