An edge dominating set of a graph is said to be an odd (even) sum degree edge dominating set (osded (esded) - set) of G if the sum of the degree of all edges in X is an odd (even) number. The odd (even) sum degree edge domination number is the minimum cardinality taken over all odd (even) sum degree edge dominating sets of G and is defined as zero if no such odd (even) sum degree edge dominating set exists in G. In this paper, the odd (even) sum degree domination concept is extended on the co-dominating set E-T of a graph G, where T is an edge dominating set of G. The corresponding parameters co-odd (even) sum degree edge dominating set, co-odd (even) sum degree edge domination number and co-odd (even) sum degree edge domination value is defined. Further, the exact values of the above said parameters are found for some standard classes of graphs. The bounds of the co-odd (even) sum degree edge domination number are obtained in terms of basic graph terminologies. The co-odd (even) sum degree edge dominating sets are characterized. The relationships with other edge domination parameters are also studied.
The weak and strong forms are so called because it is not their lexical content that primary matter, but the role they have in the sentence. The problematic confusion, our students encounter, in recognizing and producing the correct pronunciation of weak and strong forms of the English function words is the main incentive behind conducting this study. In order to gather the data, this paper used two types of tests: a recognition test and a production test. The general results reached through the analysis of the students' answers seem to conform to the researcher's assumption: students face a critical problem in recognizing and producing correct pronunciation of the weak and strong forms of the English funct
... Show MoreThe importance of economic and technical feasibility studies include all of the investor, the society, the banks, the project and the government. As it will assist in achieving the optimal use of the available economic incomes on the national level and arranging the projects in priority which participates in achieving the government benefit without wasting the amounts .This is the research goal So, the research covered its theoretical aspect, of SAIs and the economic and technical feasibility studies then the role of the auditors in auditing those studies Then a mechanism was proposed includes a guidebook that provides guidelines for organizing the process of preparing and auditi
... Show More There are many economic and financial visions that were mentioned in the book (Al-Anis Al-Mutreb in Rawd Al-Qirtas in the News of the Kings of Morocco and the History of the City of Fez). As this valuable book includes between its two covers, narrations that reveal important and pioneering events and practices that took place and were applied in the recent past on the scene of the countries of the Maghreb. This prompted the officials in the Marinid state to take quick measures to address and confront what happened. Despite the large number and severity of these repercussions and interactions, it is not the nature of this research to download texts and visions beyond what they can bear, but
... Show MoreThis paper discusses an important part of the doctrine documented by AL Imam Ali (God peace him) to the prince of Egypt “Malik al Ashter” Which charactrised by universality Where it comprised all of what the administ-rative facilities need of the responsibilities to handle the society issues and problems to have a fair society .
The field of translation studies is full of different types of social, economic, political, and literary translations as well as other types related to the life of the human being which are several, but the translation of the grammatical aspects is considered one of the important tasks that both of the translator and interpreter have to take in consideration, so as to get an translation so perfect and so correct as much as possible. One of the grammatical aspects that we have to know how to be translated correctly is the relative pronouns. And it’s about the relative pronouns translation from Spanish to Arabic turns my research work.
In this research, I will consider how to be translated the relat
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The problem with research lies in hiding the Hanbali approach in building long and short travel provisions, as well as hiding some provisions relating to short travel that are not provided for by the jurists of Hanbali (in their books).
The research aims to demonstrate the approach and standards on which they based the long and short travel provisions, as well as to reflect the provisions of some of the issues that are silent on long and short travel, with evidence and significance.
The research included a preface and two researches, the researcher in the preface talked about the reality of long and short travel, in the first research on the approach of ha
... Show Moreعُني العرب منذ القدم بإستعمال الجواهروالأحجار الكريمة ، وإزدادت هذه العناية على مر العصور ، فقد إستعملوا الحلي المتنوعة ، والملابس المطعمة بالجواهر والأحجار الكريمة .
أن الوعي الذاتي والمعرفة قد برزت أهميتها في الفكر السياسي الليبرالي الحديث وجاءت من أجل المناداة بأهمية الوعي في جوهر الفرد فقد بين أغلب المفرين وأبرزهم جون لوك وايمانويل كانط، أكد لوك بأن حالة الوعي الذاتي تكتسب بالتجربة من خلال الإحساس والتأمل او التفكير، فالعقل صفحة بيضاء خاوية ولا توجد فيها أفكار فطرية ولكن في نفس الوقت يؤكد على وجود قوة فطرية في العقل وليست أفكار يمكن ان تحول الأفكار البسيطة الى مركبة م
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