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Sum of Squares of ‘n’ Consecutive Carol Numbers
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The discussion in this paper gives several theorems and lemmas on the Sums of Squares of  consecutive Carol Numbers. These theorems are proved by using the definition of carol numbers and mathematical induction method. Here the matrix form and the recursive form of sum of squares of  consecutive Carol numbers is also given. The properties of the Carol numbers are also derived.

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Publication Date
Thu Mar 30 2006
Journal Name
College Of Islamic Sciences
The jurisprudence of Imam Yahya bin Moin through his history
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Jurisprudential rulings were not once restricted to anyone. Even if some prominent imams were famous in one science, this does not mean that some of them were not very knowledgeable and well versed in another science, but he did not know much about it, given his fame in the first science in which he emerged. It prevailed over him until he became known only through him, and there are a large number of these people, and among them is our imam, the great critic Yahya bin Ma’in, may God be pleased with him. Many people, and even scholars, know about him except that he is the only imam in jarh and ta’deel, and on his words and the words of his strike are relied upon. In terms of the authenticity and weakness of the hadith, he is in this f

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Publication Date
Sun Apr 01 2012
Journal Name
Journal Of Educational And Psychological Researches
Effectiveness of at site electronic learning/teaching in educational development
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 This study investigated three aims for the extent of effectiveness of the two systems in educational development of educators. To achieve this, statistical analysis was performed between the two groups that consisted of (26) participants of the electronic teaching method and (38) participants who underwent teaching by the conventional electronic lecture. The results indicated the effectiveness of the “electronic teaching method” and the “electronic lecture method” for learning of the participants in educational development. Also, it indicated the level of equivalence from the aspect of effectiveness of the two methods and at a confidence level of (0.05). This study reached several conclusions, recommendations, and suggestio

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Publication Date
Thu Sep 25 2025
Journal Name
Misan Journal For Physical Education Sciences
The impact of three models of training load on the development of the maximum strength for elite boxers
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Publication Date
Fri Dec 20 2019
Journal Name
College Of Islamic Sciences
The role of a teacher of Islamic education In explaining the concepts of political freedom Educational guidance study
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The political struggle being waged by Muslims today is one of the most important issues that have preoccupied the Arab and international media, and the failures that have afflicted Muslims in our contemporary world have negatively affected the younger generations and led them, and with the influence of anti-Islam media, to rely on accusing Islam as a religion with all the negative in Islamic and Arab society . So secularism took its role in spreading these concepts by deviating from its course from the concept of science to the concept of (the religion).
    From here the calls for reform rose to return the Muslims to the incubator of Islam, so people turned around them, but they turned into competing Islamic polit

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Publication Date
Thu May 31 2012
Journal Name
Al-khwarizmi Engineering Journal
An Experimental Study on the Effect of Shape and Location of Vortex Generators Ahead of a Heat Exchanger
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An experimental study is carried out on the effect of vortex generators (Circular and square) on the flow and heat transfer at variable locations at (X = 0.5, 1.5, 2.5 cm) ahead of a heat exchanger with Reynolds number ranging from 62000< Re < 125000 and heat flux from 3000 ≤ q ≤ 8000 W/m2 .

In the experimental investigation, an apparatus is set up to measure the velocity and temperatures around the heat exchanger.                     

The results show that there is an effect for using vortex generators on heat transfer. Also, heat transfer depends on the shape and location. The circular is found t

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Publication Date
Fri Mar 30 2001
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Construction of Nomograms Describing the Effect of Different Variables on the Behavior of a KCl/Polymer Drilling Fluid
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Publication Date
Tue Jan 01 2019
Journal Name
Desalination And Water Treatment
Numerical modeling of performance of olive seeds as permeable reactive barrier for containment of copper from contaminated groundwater
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Publication Date
Fri Jan 08 2016
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Effect of Aqueous Leaves Extract of Coriandrum sativum on Histological Structure and Liver Function of Male Albino mice
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Medicinal plants are used to treat various diseases although little is known about their toxicity. Coriandrum sativum is one of the most commonly plants that is used to treat several physiological disorders. Thus, this study was conducted to evaluate the effect of aqueous extract of C. sativum on the structure and function of liver in male albino mice. Thirty male mice were randomly divided into three groups: Group 1 untreated (control), Group 2 and 3 were administrated orally with the aqueous extract of the plant at dose 125 and 250 mg/kg. b. w. For 30 days. The effect of the extract on liver weights, biochemical parameters as well as histological study were assessed. There were no significant difference (P>0.05) observed in relative organ

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Publication Date
Sat Jan 01 2022
Journal Name
Agricultural Engineering
The Effect of Adjuvant Concentration on Changes of Spray Characteristics and Spraying Parameters for Selected Types of Nozzles
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Abstract<p>The paper presents the results of the research on the influence of the adjuvant concentration on the size of the drops produced by the spray nozzles of agricultural sprayers. For the tests, adjuvant Normaton with the composition of total nitrogen, amide nitrogen (N-NH<sub>2</sub>) and phosphorus pentoxide (P<sub>2</sub>O<sub>5</sub>) was used. The adjuvant was added to the water taken from the municipal water supply system of the city of Lublin. The tests were carried out for three concentrations, i.e. 75%, 100%, and 125% of the adjuvant concentration recommended by the manufacturer, and water without the adjuvant. The surface tension of water with adjuva</p> ... Show More
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Publication Date
Mon Oct 01 2018
Journal Name
The Saudi Dental Journal
Evaluation of some mechanical properties of a new silicone elastomer for maxillofacial prostheses after addition of intrinsic pigments
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Objective: The approximate life span of a silicone maxillofacial prosthesis is as short as1.5–2 years of clinical service, then a new prosthesis should be fabricated. The most common reasonfor re-making the prosthesis is silicone mechanical properties degradation. The aim of this studywas to assess some mechanical properties of VST-30 silicone for maxillofacial prostheses after addi-tion of intrinsic pigments.Methods: Two types of intrinsic pigments (rayon flocking and burnt sienna); each of them wasincorporated into silicone. One hundred and twenty samples were prepared and split into 4 groupsaccording to the conducted tests (tear strength, hardness, surface roughness, and tensile strengthand elongation percentage) with 30 samples for ea

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