Frequency histograms are ubiquitous, being practically used in any field of science. In this paper, we present a partial order for frequency and, to our knowledge, no kind has been yet defined. This is based on the stochastic discrete probability distributions and it invariance properties that make unique. First, model histogram as sequence bins associated with (or relative frequency) distribut...

The topological ordering algorithm sorts nodes of a directed graph such that the order of the tail of each arc is lower than the order of its head. In this paper, we introduce the notion of covering between nodes of a directed graph. Then, we apply the topological orderingalgorithm on graphs containing the covering nodes. We show that there exists a cut set withforward arcs in these...

The concept of generalized order statistics (GOSs) was introduced as a unified approach to a variety of models of ordered random variables. The purpose of this paper is to investigate condi- tions on the underlying distribution functions and the parameters on which GOSs are based, to establish Shaked-Shanthikumar multivari- ate dispersive ordering of GOSs from one sample and Khaledi-Kochar mu...

our  previous  studies demonstrated  the  preventive effect  of  nigella  sativa  extract  on asthma and water-soluble substances of this extract, especially its methanol fraction were responsible for this relaxation on contracted tracheal chains of guinea pigs. for the first time, the present study has been conducted to determine the main constituents of its methanolic extract. four constituen...

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