Multiplicative inverse in GF (2 m ) is a complex step in some important application such as Elliptic Curve Cryptography (ECC) and other applications. It operates by multiplying and squaring operation depending on the number of bits (m) in the field GF (2 m ). In this paper, a fast method is suggested to find inversion in GF (2 m ) using FPGA by reducing the number of multiplication operations in the Fermat's Theorem and transferring the squaring into a fast method to find exponentiation to (2 k ). In the proposed algorithm, the multiplicative inverse in GF(2 m ) is achieved by number of multiplications depending on log 2 (m) and each exponentiation is operates in a single clock cycle by generating a reduction matrix for high power of two ex

The high cost of chemical analysis of water has necessitated various researches into finding alternative method of determining portable water quality. This paper is aimed at modelling the turbidity value as a water quality parameter. Mathematical models for turbidity removal were developed based on the relationships between water turbidity and other water criteria. Results showed that the turbidity of water is the cumulative effect of the individual parameters/factors affecting the system. A model equation for the evaluation and prediction of a clarifier’s performance was developed:

Model: T = T₀(-1.36729 + 0.037101∙10^λpH + 0.048928t + 0.00741387∙alk)

The developed model will aid the predictiv

This study takes its importance in the area of systemic and historical
studies because it stands on presenting such aspects from the systematic
respect and now Ibn AL-Jouzy dealt with the text of this subject and how he
was exact in telling them.
Therefore, this study sheds light on the important aspects of this
method in his book through reading and studying such texts whether they had
direct or indirect relationship with this subject.
This study is not an easy task since it is based on contriving the
intellectual aspects in the methods of lbn AL-Jouzy and how he deals with the
text of this subject in its hygienic, natural and geographical aspects in
constructing a historical method in most scripts, the gen

Tira is a custom known to the Arabs since the pre-Islamic era. in the occurrence of good or evil. And from the pessimism: that the Arabs in the pre-Islamic era depended on birds, so if one of them went out for a matter, If he sees a bird flying to the right, he will believe in him and go on his journey and his need. The research aims to introduce Imam Al-Manawi and explain his saying in Al-Tira through his book Fayd Al-Qadeer.

The research deals with the formal characteristics of folklore in contemporary Iraqi ceramics as a comparative study between the two potters Siham Al-Saudi and Sajida Al-Mashayikhi.
The research consists of four chapters. The first chapter is concerned with the research problem, the importance, the objectives, and the limits of the research, while the aim of the research answers the following question: The method and mechanisms of employing the traditional elements and vocabulary in the products of the potters “Seham Al-Saudi and Sajida Al-Mashaikhi”.
The second chapter came in the theoretical framework of the investigations and includes: The first topic: The second topic the movement in shaping contemporary Iraqi ceramics, whi

Fire incidences are classed as catastrophic events, which mean that persons may experience mental distress and trauma. The development of a robotic vehicle specifically designed for fire extinguishing purposes has significant implications, as it not only addresses the issue of fire but also aims to safeguard human lives and minimize the extent of damage caused by indoor fire occurrences. The primary goal of the AFRC is to undergo a metamorphosis, allowing it to operate autonomously as a specialized support vehicle designed exclusively for the task of identifying and extinguishing fires. Researchers have undertaken the tasks of constructing an autonomous vehicle with robotic capabilities, devising a universal algorithm to be employed

In this research, main types of optical coatings are presented which are used as covers for solar cells, these coatings are reflect the infrared (heat) from the solar cell to increase the efficiency of the cell (because the cell’s efficiency is inversely proportional to the heat), then the theoretical and mathematical description of these optical coatings are presented, and an optical design is designed to meet this objective, its optical transmittance was calculated using (MATLAB R2008a) and (Open Filters 1.0.2) programs

The approach of the research is to simulate residual chlorine decay through potable water distribution networks of Gukookcity. EPANET software was used for estimating and predicting chlorine concentration at different water network points . Data requiredas program inputs (pipe properties) were taken from the Baghdad Municipality, factors that affect residual chlorine concentrationincluding (pH ,Temperature, pressure ,flow rate) were measured .Twenty five samples were tested from November 2016 to July 2017.The residual chlorine values varied between ( 0.2-2mg/L) , and pH values varied between (7.6 -8.2) and the pressure was very weak inthis region. Statistical analyses were used to evaluated errors. The calculated concentrations by the calib

Hygienic engineering has dedicated a lot of time and energy to studying water filtration because of how important it is to human health. Thorough familiarity with the filtration process is essential for the design engineer to keep up with and profit from advances in filtering technology and equipment as the properties of raw water continue to change. Because it removes sediment, chemicals, odors, and microbes, filtration is an integral part of the water purification process. The most popular technique for treating surface water for municipal water supply is considered fast sand filtration, which can be achieved using either gravity or pressure sand filters. Predicting the performance of units in water treatment plants is