We analyze the possibility of description of D−dimensional massless particles by the Lagrangians linear on world-line curvatures ki, S = ∑ N i=1 ci ∫ kids̃. We show, that the nontrivial classical solutions of this model are given by space-like curves with zero 2N−th curvature for N ≤ [(D−2)/2]. Massless spinning particles correspond to the curves with constant kN+a/kN−a ratio. It is shown that o...

We assume that repeated measurements are taken on each of several subjects that are randomly sampled from some population. The observations on a particular subject are expressed as the sum of an average curve for the population and a deviation of the subject’s curve from the average plus independent errors. Both curves are modeled nonparametrically as splines. We use roughness penalties on the ...

The rotation curves of a sample of 46 low- and high-surface brightness galaxies are considered in the context of Milgrom's modi_ed dynamics (MOND) to test a new interpolating function proposed by Zhao et al. (2010) [1] and compare with the results of simple interpolating function. The predicted rotation curves are calculated from the total baryonic matter based on the B-band surface photometry,...

Szpiro’s Conjecture asserts the existence of an absolute constant K > 6 such that if E is an elliptic curve over Q, the minimal discriminant ∆(E) of E is bounded above in modulus by the K-th power of the conductor N(E) of E. An immediate consequence of this is the existence of an absolute upper bound upon min {vp(∆(E)) : p | ∆(E)}. In this paper, we will prove this local version of Szpiro’s Con...

The interaction between N,N'-ethylenebis-[2-(o-hydroxyphenolic)glycine] (EHPG) and lanthanum was studied by the difference UV spectra and fluorescence spectra. At pH 7.4, 0.01 M N-2-hydroxyethylpiperazine-N-2-ethanesulfonic acid (Hepes), with the addition of 1.0 x 10(-3)M lanthanum, two new peaks were observed at 238 nm and 294 nm by absorptivity spectroscopy compared with blank solution EHPG s...

Analytical Solutions and type curves for the constant rate radial flow of fluid in both conventional and naturally fractured reservoirs including the effect of wellbore phase redistribution are presented. An automated procedure for non-linear least square minimization using the analytical solutions and their derivatives with respect to the unknown parameters developed to analyze the pressur...

We define normal curves in Minkowski space-time E4 1 . In particular, we characterize the spacelike normal curves in E4 1 whose Frenet frame contains only non-null vector fields, as well as the timelike normal curves in E4 1 , in terms of their curvature functions. Moreover, we obtain an explicit equation of such normal curves with constant curvatures.

An attempt has been made to fit the derived equation on the experimental inverse relaxation curves by employing Levenberg-Marquardt’s method for nonlinear regression and calculation of the constant values involved in the equation. The relaxation curves can be classified into ordinary relaxation, mixed relaxation and inverse relaxation curves. There seems to be good concurrence between the exper...

Quasi-periodic eruptions (QPEs), which are a new kind of X-ray bursts with recurrence time several hours, have been detected from supermassive black holes (SMBHs) in galactic nuclei. Recently, the two QPEs discovered by \textit{eROSITA} show asymmetric light curves fast rise and slow decline. Current models cannot explain observational characteristics QPEs. Here we that can be generated Roche l...

Natural convection in an annulus with a discrete heat source on the inner cylinder is studied numerically. The outer cylinder is isothermally cooled at a fixed low temperature, and the top wall, the bottom wall and unheated portions of the inner cylinder are thermally insulated. For low applied heat flux through the heater, as measured non-dimensionally by a Grashof number, Gr , the flow in the...