Among the metaheuristic algorithms, population-based algorithms are an explorative search algorithm superior to the local search algorithm in terms of exploring the search space to find globally optimal solutions. However, the primary downside of such algorithms is their low exploitative capability, which prevents the expansion of the search space neighborhood for more optimal solutions. The firefly algorithm (FA) is a population-based algorithm that has been widely used in clustering problems. However, FA is limited in terms of its premature convergence when no neighborhood search strategies are employed to improve the quality of clustering solutions in the neighborhood region and exploring the global regions in the search space. On the

 In this work, we introduced the Jacobson radical (shortly Rad (Ș)) of the endomorphism semiring Ș =  ( ), provided that  is principal P.Q.- injective semimodule and some related concepts, we studied some properties and added conditions that we needed. The most prominent result is obtained in section three

-If   is a principal self-generator semimodule, then (_ȘȘ) = W(Ș).

Subject Classification: 16y60

ناولت هذه الدراسة إحدى الشخصيات الأمريكية التي تأثرت بواقع السود. كان بوكر تاليافيرو واشنطن أحد الأمريكيين السود ، الذين ولدوا في ظل العبودية وتعرضوا للاضطهاد بعد إلغاء حقوق التصويت وإطلاق قوانين جيم كرو من قبل الولايات الجنوبية. ورأى واشنطن خلال عمليات إعادة الإعمار أحوال السود وكيف كانت معاناتهم قبل الحرب الأهلية في ظل ظروف العبودية التي شملت الإذلال ، والحرمان من حقوقهم المدنية والسياسية، فيما لم يختلف

Some great families in England had competed for the sake of getting authority and power in England.

This competition turned to be a bloody civil war which extended till 1455 and ended with the victory of Henry Tudor whose judgment in England started from 28^th of August 1458, consequently a new dynast which is known as (the Tudor)has established

objective of this research is to identify some of the obstacles that face secondary school teachers of the Arabic language courses in using modern teaching methods in class.

The research focuses on secondary school teachers of the Arabic language courses at the central region of Nineveh Governorate for the school year (2008-2009). 30 teachers out of 792, were randomly chosen to apply the research tool upon.

To fulfill the objective of this research, the researcher first surveyed a number of teachers , he then identified four categories of obstacles; obstacles related to school administrative system and environment, the teacher, courses and pupils, and the nature of teaching method

The present study deals with the social work and the social problems which
the Elderly who lives in the house of special needs suffer from . this study aims to
shed light to the most important social problems which they suffer from inside and
show their relationship and interaet with each ofher and what we can see about that
intereact either negative or positive relationship . Its scientific importance include
adding a new study in the field of take care of the Elderly . and that will enrich the
scientific field with agood knowledge . Becouse the studies in this part was little ,
but the scientific and practical importance of this study presents by the results and
specify of the important problems . In addition to

 تعد دراسة التراث العلمي العربي من الدراسات التي تلقي الضوء على التطور التاريخي للعلوم العربية وما أنجزته العقلية العربية في هذا الميدان للمدة التاريخية التي ابتدأت بعصر صدر الإسلام وانتهت بالخلافة ويرى الكثير من العلماء سواء كان

The book (Al-Thaw’ Al-Lami’) (Bright Light) by AlSakhawi is one of the most important historical sources in the Hijri ninth century. In this book, the author mentioned the biographies of most famous scientists and other authors browsing the most prominent scientific

Arabic humanity heritage had considered as a treasure of artistic, literary aspects, which is full of energies to embody investment by suitable historical ideology.

Theatre, art can be used, corresponded to make special essay reflecting a desire to establish cultural notification.

It is axiomatical that the narrative prospective is profoundly significant to the writer who intends to commence his sketch of projected novel. It is the pillar of comprehensive absorbing as the writer should commit himself to circular his own concepts to the reader of his narrative characters.                                

   The dilemma of plot-perception is a twofold aspect; partly offers the question: what is the authors stand in regard to his characters? And: what is the aim of this theme? These correlative questions are inseparable since the reader who wishes