<p>Daftardar Gejji and Hossein Jafari have proposed a new iterative method for solving many of the linear and nonlinear equations namely (DJM). This method proved already the effectiveness in solved many of the ordinary differential equations, partial differential equations and integral equations. The main aim from this paper is to propose the Daftardar-Jafari method (DJM) to solve the Duffing equations and to find the exact solution and numerical solutions. The proposed (DJM) is very effective and reliable, and the solution is obtained in the series form with easily computed components. The software used for the calculations in this study was MATHEMATICA^® 9.0.</p>

The purpose of this paper is to prove the following result: Let R be a 2-torsion free ring and T: R?R an additive mapping such that T is left (right) Jordan ?-centralizers on R. Then T is a left (right) ?-centralizer of R, if one of the following conditions hold (i) R is a semiprime ring has a commutator which is not a zero divisor . (ii) R is a non commutative prime ring . (iii) R is a commutative semiprime ring, where ? be surjective endomorphism of R . It is also proved that if T(x?y)=T(x)??(y)=?(x)?T(y) for all x, y ? R and ?-centralizers of R coincide under same condition and ?(Z(R)) = Z(R) .

Praise be to God, Lord of the Worlds, and the best blessings and peace be upon our master Muhammad and all his family and companions, and those who follow them with goodness until the Day of Judgment. . And after:

God created man in the best manner, and subjugated the universe to him and favored him over the rest of creation when he gave him a mind to contemplate and know how to distinguish between the harmful and the beneficial, the bad and the good, in order to exploit him in achieving the meaning of worship, because it is the highest goal of his creation. God Almighty said (And I did not create the jinn and mankind. Except that they worship them.” [Al-Dhariyat: 56]

If knowing what is harmful from what is beneficial a

RMK Al-Zaid, AT Al-Musawi, SJ Mohammad

This paper is devoted to the discussion the relationships of connectedness between some types of graphs (resp. digraph) and Gm-closure spaces by using graph closure operators.

Directional control valves are designed to control direction of flow, while actuators maintain required speeds and precise positions. Magnetorheological (MR) fluid is a controllable fluid. Utilizing the MR fluid properties, direct interface between magnetic fields and fluid power is possible, without the need for mechanical moving parts like spools. This study proposes a design of a four-way three-position MR directional control valve, presents a method of building, and explains the working principle of the valve. An analysis of the design and finite elements using finite element method of magnetism (FEMM) software was performed on each valve. The magnetic circuit of the MR valve was analyzed and the performance was simulated. The

Language mirrors understanding of the same or other culture. Meaning is hardly encoded in the world community. Some linguists cannot solve language problems because of its abstractedness. Language communicators learn the second or foreign language at schools for three reasons. First, English is not their first language. Second, they have little or no educational background in experiencing what they know in another language. Third, they have not improved their communication skills in English. Analyzing the language as a mean of communication would not be learned enough without its practice. This paper gives an exclusive preview of applied linguistics. It defines the conversion of different areas of the study of language with second o

Fast dissolving film can be defined as a dosage form, which when placed in the oral cavity. It will rapidly disintegrate and dissolves to release the medication for oral mucosal absorption or allow for the gastrointestinal absorption to be achieved when swallowed.

Flurbiprofen is non-steroidal anti-inflammatory agent with antipyretic and analgesic properties and can be used   in low doses 8.75 mg as analgesic and anti inflammatory agent in sore throat infection. This study aims to   formulate flurbiprofen as oral dissolving films,   to improve the effective relief of pain with severe sore throats with little or no adverse effect.

Nine formulas were prepared using solvent-casting method, and t

This study evaluates the advantages of employing nano-hydroxyapatite in dentistry, particularly for preventive treatment applications. Only electronically published papers were searched within this review. Sources: "PubMed" website was the only source used to search for data. 92 most relevant papers to the topic were selected, especially the original articles and review papers, from 1990 till the 1st of April 2022. The morphology of nano-hydroxyapatite, as well as the structure of its crystals, are close to that of dental enamel. As a result, hydroxyapatite can biomimetically replace the natural enamel mineral element. Keywords: remineralization of enamel, nanotechnology, nanohydroxyapatite, hypersensitivity.

A study Andalusia woman in shade society Arabic Islamic conservative on social customs in respect instructions in the different cover and tongue and not reveal beautiful woman because she is development the honor conscience in the society and she is respect not mix with the men about fall what he said the law Islamic and belief that the Andalusian people prince Husham days ago and he entry dependence to the mawta book. But the Andalusia woman was having the freedom and boasting and the greatness and beautiful and not respected factions from Andalusia woman instruction religion fewness commitment in the tradition Arabian and Islamic her promiscuity her promiscuity in the Spanish society that it is different habits and traditions with soci