In this work, the modified Lyapunov-Schmidt reduction is used to find a nonlinear Ritz approximation of Fredholm functional defined by the nonhomogeneous Camassa-Holm equation and Benjamin-Bona-Mahony. We introduced the modified Lyapunov-Schmidt reduction for nonhomogeneous problems when the dimension of the null space is equal to two.  The nonlinear Ritz approximation for the nonhomogeneous Camassa-Holm equation has been found as a function of codimension twenty-four.

Economic performance is one of the most important indicators of economic activity and with the performance of the economy progress varied sources of output and increase economic growth rates and per capita national income, and to recover the business environment and increase investment rates and rising effectiveness of the financial and monetary institutions and credit market. Which leads to increased employment rates and reducing unemployment rates and the elimination of many of the social problems and improve the average per capita income as well as improve the level of national income.

The input / output tables is a technique mathematical indicates economic performance

The paper uses the Direct Synthesis (DS) method for tuning the Proportional Integral Derivative (PID) controller for controlling the DC servo motor. Two algorithms are presented for enhancing the performance of the suggested PID controller. These algorithms are Back-Propagation Neural Network and Particle Swarm Optimization (PSO). The performance and characteristics of DC servo motor are explained. The simulation results that obtained by using Matlab program show that the steady state error is eliminated with shorter adjusted time when using these algorithms with PID controller. A comparative between the two algorithms are described in this paper to show their effectiveness, which is found that the PSO algorithm gives be

The present study is an academic attempt to show how the threeUmayyad poets ; Jarir ,
Al-Farazdaq and Al-Akhtal have skillfully employed old conventions and traditions in their
poetry to serve a dual purpose of making their ideas striking , memorable and compelling and
of reaching eminence as poets.
The primary aim of the poets has been to amuse , convince and influence the readers or
listeners of their poetry . as it were, a mirror image of the social , religious and historical
beliefs , values and customs which prevailed throughout the ages before the emergence.

The present study is an attempt to show how the three Umayyad poets ; Jarir , Al-
Farazdaq and Al-Akhtal have consciously and skillfully employed in their poetry som ancient
Arab legends ,historical events and wars as they provide atrue image of the values and
customs of the peoples who lived before them .
Their employed , how ever, takes avarying degrees depending, to alarge extent , an the
vast but personal knowledge of each poet the past tradition , and practices . Jarir ,in many
respects out , stands the first , Al-Farazdaq , the second and Al-Akhtal , the third .

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.

Research Summary

This research is an attempt to explain the Qur’anic verses of the vision in the practical divine vision on the Day of Resurrection, and the legal texts narrated from the Companions regarding the vision of the Prophet, may God’s prayers and peace be upon him, regarding the vision of the Prophet, may God bless him and grant him peace, regarding the vision of the Prophet, may God’s prayers and peace be upon him, regarding the vision of the Prophet, may God bless him and grant him peace He was greeted with regard to vision, and he explained the two sayings of Ibn Abbas and Aisha on the same subject, including an area of ​​conflict between them.

Election study included four sites for the waters in area of Youssifiyah south of Baghdad (river water, tank water, liquefactions water, and water filtrate and seethed and purifier by alum and chloride), the samples were collected during the month of June in 2007. Temperature, electrical conductivity and acidity are measured. Also , the concentration of chloride , sulphate , carbonate , nitrate , sodium , calcium , magnesium , hard total and total dissolved substances are determined , as well as heavy metals assess environmental risk (such as Cu, Pb, Zn, Fe). It was also a study of bacterial totals included both total Bacteria (TB) and Total Coliform Bacteria (TC) and Fecal Coliform (FC) and Fecal Streptococci (FS). The stu

Abstract

In this work, the plasma parameters (electron temperature (T_e), electron density( n_e), plasma frequency (f_p) and Debye length (λ_D)) have been studied by using the spectrometer that collect the spectrum of Laser produce CdTe_(X):S_(1-X) plasma at X=0.5 with different energies. The results of electron temperature for CdTe range 0.758-0.768 eV also the electron density 3.648 10¹⁸ – 4.560 10¹⁸ cm^-3  have been measured under vacuum reaching 2.5 10^-2 mbar .Optical properties of CdTe:S were determined through the optical transmission method using ultraviolet visible spectrophotometer within the r