In this paper, three approximate methods namely the Bernoulli, the Bernstein, and the shifted Legendre polynomials operational matrices are presented to solve two important nonlinear ordinary differential equations that appeared in engineering and applied science. The Riccati and the Darcy-Brinkman-Forchheimer moment equations are solved and the approximate solutions are obtained. The methods are summarized by converting the nonlinear differential equations into a nonlinear system of algebraic equations that is solved using Mathematica®12. The efficiency of these methods was investigated by calculating the root mean square error (RMS) and the maximum error remainder (𝑀𝐸𝑅n) and it was found that the accuracy increases with increasi

The aim of this paper is to construct cyclic subgroups of the projective general linear group over  from the companion matrix, and then form caps of various degrees in . Geometric properties of these caps as secant distributions and index distributions are given and determined if they are complete. Also, partitioned of  into disjoint lines is discussed.

The Abbasid state inherited many enemies because of the Islamic conquests in the Umayyad era and its geographical extension, which included a number of seas, so it had to direct its energy to preserve the achievements achieved by its predecessors from the Muslims. One of the sea princes who had a role in protecting the coasts of the Abbasid state, especially in the Levant and Egypt.

The reduction of vibration properties for composite material (woven roving E-glass fiber plies in thermosetting polyester matrix) is investigated at the prediction time under varied combined temperatures (60  to -15) using three types of boundary conditions like (CFCF, CCCF, and CFCC). The vibration properties are the amplitude, natural frequency, dynamic elastic moduli (young modulus in x, y directions and shear modulus in 1, 2 plane) and damping factor. The natural frequency of a system is a function of its elastic properties, dimensions, and mass. The woven roving glass fiber has been especially engineered for polymer reinforcement; but the unsaturated thermosetting polyester is widely used, offering a good balance of vibration p

The primary purpose of the present research was to study the effect of polyvinyl chloride (PVC) powder content on ultrasonic wave velocity in PVC/Epoxy composites. The second part is concerned with the relations of dynamic elastic moduli with the ultrasonic wave velocities, to determine how ultrasonic waves can affect them.
Experimental data have been obtained using the sonic viewer (model -5217 A) device to generate two types of waves, longitudinal waves of frequency 63 kHz and transverse waves of frequency 33 kHz and to measure the transit time required for those waves to travel through individual sample.
The experimental results have shown that the propagation of the ultrasonic velocity increases directly with PVC content in the

The research tackles the monetary policy of the Abassynian state in Baghdad – the center of the Abassynian caliphate in her last days. This age lasts for morethan eight decades . success – sively four caliphates ruled throuyhout these decades. First. ALNaser Ledeen Alah. AL- Daher Be Amer Alah, AL- mustanser Be-Alah then ALmustausem Be-Alah. This caliphate witnessed a sense of release from the boundage of the Salju guian supremqcy which resulted in an interest in coinage of money (Dinarsamd derhem) and engraving it usiny new forms and new weight that reflects the states monetary independence and national sovereignity being an essencial means for treating in the ex– change of trading between people. Caliphat e also made sure of prot

The Al-Shishtary is considered one of the well-known Andalus poets. His poetry represents a flood of kind emotions, springs from the sincere sources of Divine Love, and this is what we felt in his life and his literary prestige. He was a poet who was familiar withthe art of his timeknowsthe oldand popularintellectual assets ofIslamicSciencesof Sharee'a. This wide culture, which he had, is available to him through his many travels between the coasts of Syria, Egypt and others ... to become Imam of the religion way known as(Al-Shishtariyah)resonatedin the hearts ofthe general publicespecially the poor people. This showshis smoothand influential styleand his humanitarian andsimple words which resonate in the hearts of his followers, therefo

The caliphs of Tukalti Able III (Tiglath-pileser) sustained their extension and enclosure strategy whom they were highly talented with outstanding potentialities. They performed their political plan of extinguishingthe ambitions of the upper class and the internal uprisings. The Assyrian Kingdom, in the eighth century BC reached to the highest degree of expansion that no other ancient Iraqi kingdom had reached It dominated the whole near eastbut it did not have absolute command due to the subsequent uprisings that out bursted in the regions attached to the kingdom near the borders.

This research is studying technique sculptures super - realism, search through, how the method of work, and the search for the materials used in their manufacture, and this is the first study in the field of art and the field of academic study in the country.Research consists of an introduction, And four sections, The introduction containing information on: research problem, Importance of research, Goals of the research, Limits of research, research approach, and research tools.The first section contains a technical study sculptures super -realism in contemporary sculpture, while the second section includes a search for alternative materials available in the local markets, for making sculptures super - realism, the third section dedicate