We assign a relational structure to any finite algebra in canonical way, using solution sets of equations, and we prove that this is polymorphism-homogeneous if only the itself polymorphism-homogeneous. show polymorphism-homogeneity also equivalent property algebraic (i.e., systems equations) are exactly those tuples closed under centralizer clone algebra. Furthermore, aforementioned properties...

We discuss in the paper the problem that is connected in their roots with the several variables complex analysis. But its study shows the actuality of the problem itself as well as the questins near to it for the many sections of modern mathematics, using or touching the notion of homogeneity. To exlain the interest of complex analysis to last term recall for example the classical Riemann theor...

The importance of dimensional analysis and dimensional homogeneity in bibliometric studies is always overlooked. In this paper, we look at this issue systematically and show that most h-type indices have the dimensions of [P], where [P] is the basic dimensional unit in bibliometrics which is the unit publication or paper. The newly introduced Euclidean index, based on the Euclidean length of th...

We prove that any torsion-free, residually finite relatively free group of infinite rank is not א1-homogeneous. This generalizes R. Sklinos’ result that a free group of infinite rank is not א1-homogeneous, and, in particular, gives a new simple proof of that result.

A distribution of points that satisfies the property of local isotropy is not necessarily homogeneous: homogeneity is implied by the condition of local isotropy together with the assumption of analyticity or regularity. Here we show that the evidence of dipole saturation in galaxies (and clusters) catalogues, together with a monotone growth of the monopole, is an evidence of isotropy but not of...

Five methods were employed to determine the heterogeneity or homogeneity of lipopolysaccharides from four acholeplasmal species, Acholeplasma axanthum, A. granularum, A. laidlawii, and A. modicum. A axanthum lipopolysaccharide behaved as a single component in all tests. A. granularum exhibited two components of identical composition and antigenic specificity. A. modicum lipopolysaccharide behav...

nowadays, equal channel angular pressing, known as the ecap process, is one of the most popular methods for manufacturing ultra-fine grained (ufg) materials. in this paper, ecap process has been carried out on pure copper and 6012 aluminum alloy up to six passes by route . principal attention was paid to the influence of parameters such as diameter, material, and the height of billet on mechani...

This paper discusses free carrier generation by pulsed laser fields as a mechanism to switch the optical properties of semiconductor photonic crystals and bulk semiconductors on an ultrafast time scale. Requirements are set for the switching magnitude, the time-scale, the induced absorption as well as the spatial homogeneity, in particular for silicon at λ = 1550 nm. Using a nonlinear absorptio...