This paper generalizes and improves the results of Margenstren, by proving that the number of -practical numbers which is defined by has a lower bound in terms of . This bound is more sharper than Mangenstern bound when Further general results are given for the existence of -practical numbers, by proving that the interval contains a -practical for all
يمثل ابن الجزري احد علمائنا الذين كان لهم دور في التطور الثقافي والحضاري الذي شهده العالم الإسلامي آنذاك، ويعد كتابه هذا منهلا غزيرا لطلاب العلم لدراسته من النواحي كافة، وتشكل الإجازات إحدى حلقات الوصل في تراجمه ولها أهميتها من الناحية المنهجية ولها دور كبير في رفد كتابه هذا بكثير من الموارد التي لها أساسها احتوت على مادة كتبت بخط المجيز كان لها أثرها في دعم منهجية الكتاب،والمادة التي تشعبت في ضوء هذا الات
... Show MoreThe high cost of chemical analysis of water has necessitated various researches into finding alternative method of determining portable water quality. This paper is aimed at modelling the turbidity value as a water quality parameter. Mathematical models for turbidity removal were developed based on the relationships between water turbidity and other water criteria. Results showed that the turbidity of water is the cumulative effect of the individual parameters/factors affecting the system. A model equation for the evaluation and prediction of a clarifier’s performance was developed:
Model: T = T0(-1.36729 + 0.037101∙10λpH + 0.048928t + 0.00741387∙alk)
The developed model will aid the predictiv
... Show MoreThe technical activities designed to highlight the creations of students by providing activities appropriate to their abilities and capabilities within and outside the school, which is a way for the development of learning and learner behavior aimed at directing guidance educationally and artistically.As a result of the efforts of modern educational activities, art has become part of the philosophy of the modern school and part of the modern curriculum. Because it is enough to configure the practices and habits of a satisfactory and acceptable, and is characterized by precision, order and beauty.Through the researcher with a survey of previous studies that dealt with art activities and found that all studies have been confined to a calen
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The research aims at the relationship between Servant leadership dimensions test as an independent variable and an organizational trust as a variable dependent. Thus it was necessary to answer the following question: Is there a correlation relationship and impact between Servant leadership dimensions and organizational trust? To investigate the contents of the answer, the researcher selected a group of employees in Oil Products Distribution Company / Baghdad. The researcher adopted the analytical descriptive approach in completing his research which dealt with a random sample of (190) individuals representing the research society out of the total number of (376) person from the middle and high Leaders. Depending
... Show MoreIn this paper, the effect size measures was discussed, which are useful in many estimation processes for direct effect and its relation with indirect and total effects. In addition, an algorithm to calculate the suggested measure of effect size was suggested that represent the ratio of direct effect to the effect of the estimated parameter using the Regression equation of the dependent variable on the mediator variable without using the independent variable in the model. Where this an algorithm clear the possibility to use this regression equation in Mediation Analysis, where usually used the Mediator and independent variable together when the dependent variable regresses on them. Also this an algorithm to show how effect of the
... Show MoreIn the present research is marked (expressive drawing in contemporary Iraq, the study of morphological features) eating expressive as the direction of modern art in the drawing for the period before and after World Wars I and II. And follow the tracks. And in research and investigation about the origins and sources and characteristics of expressionist painting at adult patrons and art gatherings, and the extent of their impact in the drawing for contemporary Iraqi sixties and seventies generation (generation of professors) and down to the younger generation in the eighties of the last century. Over the nearly two decades of history of fine movement in Iraq, a period specified in the search within the limits of temporal boundaries, and by
... Show MoreThe auditor plays a key role in economic life because of the confidence his report adds to the audited financial statements. In applying the various stages of the audit process, the auditor must maintain a high moral level that determines his type of commitment in his professional behavior before God first, And to the society at last in a way that supports its independence. On this basis, the aim of the research is to identify the threats that affect the independence of the auditor. To achieve the objective of the research, the hypothesis that there is a statistically significant relationship between the threats facing the auditor and his professional independence was formulated. In the light of testing the hypotheses of research it was
... Show Moreيهدف البحث الحالي الى اختبار علاقة الارتباط والتأثير بين إدارة الاحتواء العالي وسلوك العمل الاستباقي ، ومن اجل تحقيق ذلك تم اختيار مجلس محافظة بغداد ميداناً لتطبيق البحث، وشمل البحث متغيرين إدارة الاحتواء العالي عبر ابعاده الفرعية )ممارسات التطوير، المكافآت، مشاركة المعلومات، التمكين(، وسلوك العمل الاستباقي عبر ابعاده )تولي المسؤولية، صوت الموظف، المبادرة الشخصية(، وضمت عينة البحث ) 97 ( فرداً من الموظفين ا
... Show Moreهدف البحث الى التعرف على الاتجاه التكاملي STEM في تعليم الرياضيات واثره في التفكير المنطقي لطالبات المرحلة المتوسطة ولتحقيق اهداف البحث تم استخدام منهج البحث الوصفي والتجريبي لدراسة الظاهرة, قامت الباحثة بأخذ رأي عدد من مدرسي المرحلة المتوسطة لادخال الاتجاه STEM في تعليم الرياضيات, واثره في التفكير المنطقي وكان عددهم (20) مدرسا فكانت النتائج هو اثر الاتجاه التكاملي بشكل مرتفع قي التفكير المنطقي, وتم استخدام عدد
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