Let G be a graph, each edge e of which is given a weight w(e). The shortest path problem is a path of minimum weight connecting two specified vertices a and b, and from it we have a pre-topology. Furthermore, we study the restriction and separators in pre-topology generated by the shortest path problems. Finally, we study the rate of liaison in pre-topology between two subgraphs. It is formally shown that the new distance measure is a metric

The formula of Ijarah and Ijarah ending with ownership is one of the investment formulas in Islamic banks, so this research has shed light on it in order to benefit from the experiences of the research sample banks, This research aims to find a reliable way for Iraqi Islamic banks, namely (leasing and leasing ending with ownership) in order to invest their money without usurious interests, The problem of the research emerges through the lack of awareness of the Iraqi Islamic banks to work with different Islamic financing formulas and their inability to invest their money through the adoption of their administrations for different formulas, including the leasing, and this is reflected in the decrease and fluctuation of its profits, Theref

Özet

Sözlü Türk halk edebiyatı ürünleri içinde önemli yere sahip olan türlerden biri de atasözleridir. Atasözleri, nesilden nesile halk ağzında dolaşan, kimin söylediği bilinmeyen, birtakım gerçekleri kısa ve öz bir şekilde ifade eden sözlerdir. Türk atasözleri Orhun Abideleri’nde ilk kez karşımıza çıkmakla birlikte, Uygur dönemi yazıtlarında ve özellikle Dîvânü Lûgati’t Türk’te geniş yer bulmuştur. Dilin anlatım ve kullanım imkânlarını geliştiren atasözlerine, dünyanın bütün dillerinde rastlanabilir. Bunun için, söyleyişte güzel, anlatımda güçlü, kavramda önemli unsurlar içeren kalıplaşmış sözler halinde bulunurlar. Bu çalı

Abstract:

              The phenomenon of financial failure is one of the phenomena that requires special attention and in-depth study due to its significant impact on various parties, whether they are internal or external and those who benefit from financial performance reports. With the increase in cases of bankruptcy and default facing companies and banks, interest has increased in understanding the reasons that led to this financial failure. This growing interest should be a reason to develop models and analytical methods that help in the early detection of this increasing phenomenon in recent year   . The research examines the use of

The main aim of conducting this research is to identify the applications of Smart libraries in the Arab world. The Researcher relied on the documentary and Survey approach to collect information and data through the Internet, and to get to know these libraries. Then the Research came in three sections dealing with the first topic: The general framework of the study. The second topic deals with: introducing Smart libraries and indicating their types and characteristics. The Third topic dealt with the requirements of Smart libraries'application by identifying the basic components of it (Smart building, Smart Librarian , Smart devices, systems and software, Smart information sources,and Smart beneficiaries), and dealt with Smart libraries appl

Some new heterocyclic compounds containing, cyclohexenone, indazole, isoxazoline, pyrmidine and pyrazoline ring system were prepared from chalcones (1a,b). The starting chalcones (1a,b) were obtained by a base catalyzed condensation of appropriately substituted benzaldehydes and 2-acetylbenzofuran. The reaction of the prepared chalcones with ethylacetoacetate/hydrazine hydrate, hydroxylamine hydrochloride, urea, thiourea, hydrazine hydrate, phenyl hydrazine or hydrazide derivatives gave the mentioned heterocycles. All synthesized compounds have been characterized by physical and spectral methods.

The current research deals with thought and emotion and their role in interior design, and in the firstchapter, the research problem was identified through contemplation and an extensive study of theextent of the possibility of representing thought and emotion and shedding light on them according towhat the research seeks to express, which theorizations in the field of interior design have not beenexposed to. The importance of the research was manifested in being a cognitive addition to researchersin the field of interior design in the College of Fine Arts and its corresponding colleges, to benefit from ascientific material that is unique in dealing with the terms of thought and emotion in designs for publicinterior spaces by studying the d

The impact of the auditor's personal judgment starts from the beginning of the audit process to the formation of the final opinion and the issuance of the report, and because of the possibility of bias in the auditor's judgment for various reasons that may relate to the auditor himself or the circumstances surrounding it, which requires assessing the current reality of the auditor's personal judgments In the local environment and determining their determinations. To clarify the concept and determinants of the auditor's personal judgments when implementing the audit work, prepare the report and determine the role of the international auditing standards in rationalizing the auditor's personal judgment when conducti

This research seeks to show the state of the sad female self in Iraqi women's poetry, reveal its psychological potential within the text, analyze the phenomenon of sadness and explain its presence in poetic texts, show the influences of social life, the turmoil that was the main resource for the crisis of the creative woman's self and how to confront it,  explain the motives and reasons why the creative woman wrote about the sadness of herself through techniques and methods unique to her

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