We study the distances, called spacings, between pairs of neighboring energy levels for the quantum harmonic oscillator. Specifically, we consider all energy levels falling between E and E + 1, and study how the spacings between these levels change for various choices of E, particularly when E goes to infinity. Primarily, we study the case in which the spring constant is a badly approximable ve...

Understanding the natural mating behavior (selfor cross-pollination) in watermelon is important to the design of a suitable breeding strategy. The objective of this study was to measure the rate of selfand cross-pollination in watermelon [Citrullus lanatus (Thunb.) Matsum. & Nakai] using the dominant gene Sp (Spotted leaves and fruit) as a marker. The experiment consisted of two studies and was...

This work aims to study the influence of legume-cereal grasses in inter-row spacings garden on content nutrients soil and growth apple tree roots. The amount nitrate nitrogen was direct proportion ratio legume component phytocenosis. control option smallest: 19.7 mg/kg layer 0-30 cm 13.4 30-60 cm. In case natural grassing-down between rows, cereal forbs prevailed. largest achieved when sowing r...

This experiment was designed to determine the effect of spent mushroom substrate, farmyard manure, and mineral fertilization with nitrogen, phosphorus, potassium on yield quality raw material obtained from two cultivars (“Słoneczko” “De Dolj”) common thyme. Unfertilized plots thyme crops were included as control treatment. Different row spacings (30 cm 40 cm) represented second experimental fac...

The different techniques available for the accurate measurement of lattice fringe spacings are discussed and their relative merit under different circumstances assessed. The relationship between the lattice fringe spacing and the lattice parameter is further examined for both uniform and chemically inhomogeneous material. The techniques described were also applied to an investigation of carbon ...

in in order to investigating changes range of oil yield and percentage attention to plant density on three varieties of black seed, an experiment was conducted in the form of factorial based on completely randomized block designs (rcbd) with 4 replications in saat-loui agricultural station of west azerbaijan province. in this research, the first factor (a) contained two levels 20 and 40 cm inte...

Let {Ri; i ≥ 1} be the sequence of record values generated from a sequence of i.i.d. continuous random variables, coming from a big class of distributions in the exponential family. In this paper we study the behavior of k-spacings of Ri, that is, Rk+i−Ri for i ≥ 1. We show that, under certain conditions, a normalized k-spacings empirically converges to a Gamma distribution. Counter examples sh...

Abstract. Suppose f(x) is a polynomial with all of its roots on the real line. We show that the roots of f (x) are more evenly spaced than the roots of f(x). The same holds for polynomials with all their zeros on a circle, as well as an entire function of order 1 with all its zeros on a line. Applications are given to the Riemann zeta-function and its connection to random matrix polynomials. We...

The nutritional benefits and functional potential of chia seeds have been highlighted in the literature. However, few studies address planting system species, especially its spatial arrangement. Thus, this study proposes to evaluate cultivation under different arrangements, aiming at agronomic performance. experimental design was randomized blocks a 3×2 factorial scheme, with three inter-row sp...