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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
Fri Jun 12 2026
Journal Name
Al-anbar University Journal Of Law And Political Sciences
Evaluation of the Geneva Conventions of 1949 and the role of the protecting power to implement its provisions
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Publication Date
Mon Nov 07 2022
Journal Name
Environmental Monitoring And Assessment
Comparison of Climate Change Impact upon Water Productivity of Winter Wheat in Northern and Southern Regions of Iraq 
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Abstract<p>Maximizing the water productivity for any agricultural system is considered an adaptation to the potential climate change crisis. It is required, especially in arid and semi-arid environments in Iraq. Therefore, this study assessed the potential impact of climate change on the different environments in the Qadissiya and Nineveh provinces. The ensemble of six GCM models employed for the regional climate model of the HCLIM-ALADIN in high-resolution 10*10 km<sup>2</sup> and Aqua-Crop was used to examine the response of water productivity and yield of winter wheat. With and without CO<sub>2 </sub>concentration changing under different water regimes in the near term (2020-2040</p> ... Show More
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Publication Date
Fri Jan 03 2020
Journal Name
Annals Of Tropical Medicine And Public Health
Genomic Fingerprinting of Interleukin IL-12RB2 of Nasal Mucosal Stem Cells in Nasal Polyposes (NPs) of Iraqi Patients
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The inflammatory reactions cause nasal polyposes (NPs), which contained the paranasal sinuses and the nasal mucous membrane. They consist of recurrent multiple masses originating in the paranasal sinuses then spread from the middle meatus to the nasals cavity, which leads to the nasal blockage that causes the restriction of airflow to the olfactory area. This study aims at clarifying the role of IL-12RB2 polymorphism by using PCR technology in nasal mucosal stem cells in nasal polyps of Iraqi patients and use it as a biomarker. Fifty-eight cases of this study are referred to as nasal surgery, which selected from Dept.of Otolaryngology, Baghdad City, Iraq from May 2013 to January 2014. They were grouped into Control group (022 samples

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Publication Date
Tue Oct 01 2019
Journal Name
Journal Of Economics And Administrative Sciences
The Impact Of Means Of Support On The Intention Entrepreneurial Field Research On A Sample Of Algerian Students
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     The aim of this paper to study the effect of the implicit factors on the entrepreneurial spirit of the students of the Algerian university. Our structural model was proposed based on the model (Shapiro et Sokol, 1982) and the model (Ajzen, 1991). We tested it on a sample of 163 university students at the University of Algiers 3. The model consists of a set of variables (the intention of contracting as a dependent variable, structural and social educational support as independent variables). The results showed that educational and social support factors affect the entrepreneurial spirit of students more than structural support. The Applied Impacts are the enhancing of knowledge capacities of university stu

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Publication Date
Tue Jan 01 2019
Journal Name
Indian Journal Of Ecology
Effectiveness of oxidation enzymes in the ratio of gluten to wheat bread via different treatments of weeds control
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Publication Date
Thu Nov 21 2019
Journal Name
Al-kindy College Medical Journal
The The Role of Breast Sonography and Ductography in the Evaluation of Different Causes of the Nipple Discharge
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ABSTRACT

 

Background : The aim of this work is to assess the role of breast sonography  and ductography in the evaluation of different causes of nipple discharge.

Methods :  The study will be carried out on twenty-five female patients referred to the Radiodiagnosis department at Alexandria Main University Hospital presenting with nipple discharge.

They were divided into two groups:

Group I include 10 patients (40%) with surgically significant nipple discharge who were the patients with unilateral, uniorificial surgically significant colour type nipple discharge .They were investigated by mammography, sonography, and ductography.

Group II include 15 patients

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Publication Date
Sun Sep 02 2018
Journal Name
Arab Journal Of Basic And Applied Sciences
Development of the Banach contraction method for the solution of nonlinear thin film flows of non-Newtonian fluids
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Publication Date
Fri Dec 15 2023
Journal Name
Al-academy
The extent of theatrical and musical arts contribute to the diagnosis And treatment of psychological problems Inmates of
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 The research aims to identify the extent to which the theatrical and musical arts contribute to diagnosing and treating psychological problems among the residents of children’s villages in Jordan, and the methodologies adopted by the theatrical and musical arts to achieve this. It moves on to prove the theory that theatrical and musical arts have an impact on improving the psychology of the residents of children’s villages in Jordan by reviewing the theories and opinions that address the subject from a scientific point of view proven by experiences and expertise. The research took place in the period between (2019-2020), and the spatial limits came within the (SOS) children's villages in Jordan. The importance of the research is to

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Publication Date
Sun Sep 03 2017
Journal Name
Baghdad Science Journal
Study of epidermis characters and venation of certain species of Medicago L. in Leguminosae (Fabaceae) family in Iraq
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The anatomical study of the epidermis leaflet for seven species and variety wild belonging to the genus Medicago L. species are: M. constricta Dur., M. coronata L., M. intertexta L., M. intertexta.var. ciliaris L., M. laciniata L., M. lupulina L., M. minima L. and M. sativa L. were studied, The search included epidermis characters and stomatal complexes addition to venation system in leaflets. It is revealed through the study, epidermis leaflet type Amphistomatic (the stomata spread on the upper and lower surface) as well as the presence of three types of stomatal complexes namely: Anisocytic (the guard cells surrounded by three unequal cell size), Anomocytic (not differential from subsidiary cells in epidermis) and Anomotetracytic (four ce

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Publication Date
Sun Feb 10 2019
Journal Name
Journal Of The College Of Education For Women
Social support and their relationship to the quality of life of students of the College Education for Women
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The study is aimed at social support to the students of the College of Education for women (The research sample) and measuring the quality of life at students of the College of Education for women (The research sample) And to identify the relationship between social support and quality of life of students of the College Education for Women and research sample consisted of 200 students The adoption of the resolution as a tool for data collection and the most important results of the search results that the students of the College Education for Women have social support. In other words, parents and friends are supporting the students. The students have the quality of life any positive meaning to life and that when a person has a quality of

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