Aims. We analyze systematics in the asteroseismological mass determination methods in pulsating PG 1159 stars. Methods. We compare the seismic masses resulting from the comparison of the observed mean period spacings with the usually adopted asymptotic period spacings, ∆Πal , and the average of the computed period spacings, ∆Πl. Computations are based on full PG1159 evolutionary models with ste...

Exact mean field equations are derived analytically to give the fundamental diagrams, i.e., the average speed car density relations, for the Fukui-Ishibashi one-dimensional traffic flow cellular automaton model of high speed vehicles (vmax = M > 1) with stochastic delay. Starting with the basic equation describing the time evolution of the number of empty sites in front of each car, the concept...

An opto-electronic sensor system for measuring seed spacing uniformity with different types of seeds is described in this paper. It consisted of a rectangular photogate block (124 × 92 mm) with 24 phototransistors (diameter, 3 mm) receiving light beams from 24 light emitting diodes (diameter, 3 mm) opposite them, a digital input/output board in a personal computer, and power supplies. The opto-...

1. Introduction. Berry and Tabor conjecture in [1] that the distribution of local spacings between the eigenvalues of the quantization of the Hamiltonian for generic, completely integrable systems follow those of random numbers. (Such a distribution is often called " Poissonian. ") In [8], Sarnak considers the specific case of the geodesic flow on a flat two-dimensional torus, for which the Ber...

The scale-invariant spacings lemma due to Arratia, Barbour and Tavaré establishes the distributional identity of a self-similar Poisson process and the set of spacings between the points of this process. In this note we connect this result with properties of a certain set of extreme points of the unit Poisson process in the positive quadrant.

In this paper we consider the most visited site, Xt, of a Poisson process up to time t. Our point of departure from the literature on maximal spacings is our asymptotic analysis of where the maximal spacing occurs (i.e., the size of Xt) and not the size of the spacings.

Objective: An experiment was conducted at Wondo Genet Agricultural Research Center in the production season of 2013/14 and 2014/15 with the objective of identifying the best combination of intra and inter-row spacing for optimum plant population density of stevia. Methods: The experiment was conducted using five intra-row spacing (20cm, 25cm, 30cm, 35cm, and 40...