In this paper, nickel oxide (NiO) nanoparticles have been prepared by solid state thermal decomposition of an acyclic nickel(II) complex (1,2-bis(2-formyl-3-methoxyphenyl)propane)nickel(II) chloride, [NiL]Cl2, in an electrical furnace at optimal temperature, 450 ºC for 3.5 h. The nickel(II) complex is obtained via solid state synthesis using nickel(II) chloride and tetradentate O4 acyclic ligan...

A discrete analogue of generalized Burr-type XII distribution is introduced using a general approach of discretizing a continuous distribution. It may be worth exploring the possibility of developing a discrete version of the six parameter generalized Burr-type XII distribution for use in modeling a discrete data. This distribution is suggested as a suitable reliability model to fit a range of ...

The characterization and the canonical representation of order n phase type distributions (PH(n)) is an open research problem. This problem is solved for n = 2, since the equivalence of the acyclic and the general PH distributions has been proven for a long time. However, no canonical representations have been introduced for the general PH distribution class so far for n > 2. In this paper we s...

Phase-type (PH) distributions are proven to be very powerful tools in modelling and analysis of a wide range of phenomena in computer systems. The use of these distributions in simulation studies requires efficient methods for generating PH-distributed random numbers. In this work, we discuss algorithms for generating random numbers from PH distributions and propose two algorithms for reducing ...

In the absolutely continuous case, order statistics, record values and several other models of ordered random variables can be viewed as special cases of generalized order statistics, which enables a unified treatment of their theory. This paper deals with discontinuous generalized order statistics, continuing on the recent work of Tran (2006). Specifically, we show that in general neither re...

Twin-field (TF) quantum key distribution (QKD) can overcome fundamental secret-key-rate bounds on point-to-point QKD links, allowing us to reach longer distances than ever before. Since its introduction, several TF-QKD variants have been proposed, and some of them already implemented experimentally. Most assume that the users emit weak coherent pulses with a continuous random phase. In practice...

Previous research introduced Conditional Phase-type distributions (C-Ph) consisting of a Coxian phase-type distribution conditioned on a BN where the phase-type distribution represents a continuous survival variable, the duration of time until a particular event occurs and the BN represents a network of inter-related variables. The C-Ph model has proved to be a suitable technique for modeling p...

A proper edge coloring of a graph G is called acyclic if there is no bichromatic cycle in G. The acyclic chromatic index of G, denoted by χ′a(G), is the least number of colors k such that G has an acyclic edge k-coloring. Basavaraju et al. [Acyclic edgecoloring of planar graphs, SIAM J. Discrete Math. 25 (2) (2011), 463–478] showed that χ′a(G) ≤ ∆(G) + 12 for planar graphs G with maximum degree...