This paper generalizes and improves the results of Margenstren, by proving that the number of -practical numbers  which is defined by   has a lower bound in terms of . This bound is more sharper than Mangenstern bound when  Further general results are given for the existence of -practical numbers, by proving that the interval contains a -practical for all

The heat exchanger is a device used to transfer heat energy between two fluids, hot and cold. In this work, an output feedback adaptive sliding mode controller is designed to control the temperature of the outlet cold water for plate heat exchanger. The measurement of the outlet cold temperature is the only information required. Hence, a sliding mode differentiator was designed to estimate the time derivative of outlet hot water temperature, which it is needed for constructing a sliding variable. The discontinuous gain value of the sliding mode controller is adapted according to a certain adaptation law. Two constraints which imposed on the volumetric flow rate of outlet cold (control input) were considered within the rules of the proposed

The heat exchanger is a device used to transfer heat energy between two fluids, hot and cold. In this work, an output feedback adaptive sliding mode controller is designed to control the temperature of the outlet cold water for plate heat exchanger. The measurement of the outlet cold temperature is the only information required. Hence, a sliding mode differentiator was designed to estimate the time derivative of outlet hot water temperature, which it is needed for constructing a sliding variable. The discontinuous gain value of the sliding mode controller is adapted according to a certain adaptation law. Two constraints which imposed on the volumetric flow rate of outlet cold (control input) were considered within the rules of the proposed

This study ,the samples were   collected from "118 patients " suffering from burn wound contaminated with Pseudomonas aeruginosa and 100 health individuals (male and female ) as a control group ,the samples were wound swap and blood sample  .       Chromatography technique was employed to extract and purify cell wall containing lipopolysaccharide by using P. aeruginosa  isolate ATCC 15692,the purification done by addition of ammonuium sulfate, sodium dodecyl sulfat (SDS) anddialysis, gel filtration chromatography by using sepharose-4B.       Immunogenicity of  LPS component was determined by mice injection under the skin  ,then Ab concentration agai

Edward Albee (1928-2016) is an American  dramatist who is notorious for his controversial works. Albee's plays generate a crisis of a restraint situation and a point of no return where characters trespass the limits and get caught up in a tragic cycle. The Goat or Who is Sylvia? )2000) is one of his controversial pieces, addressing (human-animal relations). This theatrical masterpiece unleashes man's wildest desires and ravaging behavior. Bestiality is a criminal offense placed in the domain of mental disorders attributed to the lack of emotional support, anxiety, depression, and psychological problems. It is also a serious moral infraction of communities' socio-religious traditions. In this play, Martin’s bestiality lead

Let G be a finite group and X be a conjugacy class of order 3 in G. In this paper, we introduce a new type of graphs, namely A₄-graph of  G, as a simple graph denoted by A₄(G,X) which has X as a vertex set. Two vertices,  x and y, are adjacent if and only if  x≠y and  x y^-1=y x^-1. General properties  of the A₄-graph as well as the structure of A₄(G,X) when G@ ³D₄(2) will be studied.

   This study, which is considered the first of its kind in the world and the Arab homeland, was carried out in the laboratory of mushroom production belonging to the Medicinal Plant Unit/ College Of Agricultural Engineering Sciences/ University of  Baghdad during the period from July 21, 2016, to December 30, 2018, aiming to isolate and purify the mycelium of the wild isolation in addition to the genetic and morphological identification of the mushroom Agaricus bellaniae. The obtained pure isolation was tagged in the American National Center for Biotechnology Information (NCBI) with symbol MF987843.1, thus Iraq would be the second country in the world in which the mushroom is grown following the United States of America. The

The primary function of commercial banks is the process of converting liquid liabilities such as deposits to illiquid assets, (also known as a loan), liquid assets, (aka cash and cash equivalent) in a balanced manner between liquid and illiquid assets, that guaranteed the preservation of the rights of depositors and the bank and not by converting liquid liabilities into liquid assets in a very large percentage. This comes from its role as depository and intermediary institutions between supply and demand, therefore, we find that the high indicators of bank liquidity and solvency may reflect a misleading picture of the status of commercial banks, to some extent in terms of the strength of their balance sheets and

Due to the continuous development in society and the multiplicity of customers' desires and their keeping pace with this development and their search for the quality and durability of the commodity that provides them with the best performance and that meets their needs and desires, all this has led to the consideration of quality as one of the competitive advantages that many industrial companies compete for and which are of interest to customers and are looking for. The research problem showed that the Diyala State Company for Electrical Industries relies on some simple methods and personal experience to monitor the quality of products and does not adopt scientific methods and modern programs. The aim of this research is to desi