On the distribution of the density of maximal order elements in general linear groupsdoi:10.1007/S11139-014-9619-YStefanos AivazidisEfthymios SofosSpringer US
In this paper we consider the density of maximal order elements in$\\mathrm{GL}_n(q)$. Fixing any of the rank $n$ of the group, the characteristic$p$ or the degree $r$ of the extension of the underlying field $\\mathbb{F}_q$of size $q=p^r$, we compute the expected value of...
The periodicity in properties of the elements arranged in order ofatomic numberis strikingly shown by the consideration of the physical state of the elementary substances and such related properties as themelting point, density, and hardness. The elements of Group 18 (0) are gases that are diffic...
We obtain a formula to compute the asymptotic density of finite-order elements in any virtually nilpotent group. Further, we show that the spectrum of numbers that occur as such asymptotic densities consists of exactly the rational numbers in [ 0 , 1 )....
density (760 mm Hg): gas (grams per litre)1.7 (0 °C)3.21 (0 °C)5.6 (175.5 °C)6.75 (185 °C)— density (760 mm Hg): liquid (grams per cubic cm)1.11 (−188 °C)1.66 (−70 °C)3.12 (20 °C)3.96 (120 °C)— ...
For any prime p we consider the density of elements in the multiplicative group of the finite field F_p having order, respectively index, congruent to a(mod d). We compute these densities on average, where the average is taken over all finite fields of prime order. Some connections between...
The intensity and polarization of the light as a function of an axially symmetric electric field in the collision region are fitted to a numerical model of the H atom in an electric field in order to extract density-matrix elements. A new polarimeter, using a photoelastic modulator in ...
Moreover, it is generally supposed that the wave velocities observed in seismic data from the core imply an inner core density lower than that of pure iron25,26,27. This suggests the existence of ‘light’ elements as the major alloying candidates within it, such as H, C, O, S and Si...
The periodicity in properties of the elements arranged in order ofatomic numberis strikingly shown by the consideration of the physical state of the elementary substances and such related properties as themelting point, density, and hardness. The elements of Group 18 (0) are gases that are diffic...
Se4 and Te4 clusters, the intermolecular weakly bound charge-transfer complexes (Se2)(O2) and (Te2)(O2), and the (X2)(Y2) and (XY)(YX) mixed compounds (X, Y = S, Se, Te) were studied using density functional theory with all-electron and effective core potential basis sets. All...