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2-Rowed Plane Overpartitions Modulo 8 and 16

 In a recent study, a special type of plane overpartitions known as k-rowed plane overpartitions has been studied. The function  denotes the number of plane overpartitions of n with a number of rows at most k. In this paper, we prove two identities modulo 8 and 16 for  the plane overpartitions with at most two rows. We completely specify the  modulo 8. Our technique is based on expanding each term of the infinite product of the generating function of the  modulus 8 and 16 and in which the proofs of the key results are dominated by an intriguing relationship between the overpartitions and the sum of divisors, which reveals a considerable link among these functions modulo powers of 2.

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Publication Date
Fri Oct 24 2014
Journal Name
Journal Of Religion And Health
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Publication Date
Fri Jun 30 2023
Journal Name
Iraqi Journal Of Science
Comparing the Disease Severity in Iraqi Psoriasis Patients According to Some Immunological and Biological Factors

Psoriasis is a chronic inflammatory skin disease that is closely related to the oxidative stress state of the body. The current study focused on some immunological indicators directly related to inflammation (Procalcitonin, and lysozyme) with the aim of investigating their potential as a prognostic factor for psoriasis. This study included 150 samples, including 90 patients with psoriasis and 40 people who appeared to be healthy, and was conducted from November 2021 to April 2022. The results showed a significant increase in the level of procalcitonin in patients with psoriasis compared to its level in the control group, while it was noted that the increase in the level of the other indicators was not significant, according to the statis

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Publication Date
Wed Oct 18 2023
Journal Name
Cogent Engineering
Investigating the effect of nanomaterials on the Marshall properties and durability of warm mix asphalt

This research aims to investigate the effect of four types of nanomaterial on the Marshall properties and durability of warm mix asphalt (WMA). These types are; nano silica(NS), nano carbonate calcium (NCC), nano clay(NC), and nanoplatelets (NP). For each type of Nanomaterial, three contents are tried as following; NS(1%, 3%, and 5%), NCC(2%, 4%, and 6%), NC(3%, 5%, and 7%), and NP (2%, 4%, and 6%) by weight of asphalt cement. Following Marhsall mix design method, the optimum asphalt cement content is determined, thereafter the optimum dosage for each nanomaterial is obtained based on the highest Marshall stability value. The durability of the control mix (no nanomaterial) and modified mixtures have been compared based on moisture damage, r

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Publication Date
Thu Jun 30 2022
Journal Name
International Journal Of Drug Delivery Technology
New Metal Complexes Derived from Heterocyclic Schiff-base Ligand; Preparation, Structural Investigation and Biological Activity

The formation of a Schiff-base with N2O2 donor atoms derived from the hydrazine segment and its metal complexes are reported. The Schiff-base ligand; N’-((1R,2S,4R,5S,Z)-2,4-diphenyl-3-azabicyclo[3.3.1]nonan-9-ylidene)furan-2-carbohydrazide (HL) was prepared from the reaction of furan-2-carbohydrazide with (1R, 2R, 4R, 5S)-2,4-diphenyl-3-azabicyclo[3.3.1]nonan-9-one (M1) in ethanol medium. The reaction of the title ligand with selected metal ions Cr(III), Mn(II), Ni(II), Cu(II), Zn(II) and Cd(II) gave complexes with the general formula [M(L)Cl2], (where: M = Cr(III), Mn(II), Ni(II), Cu(II), Zn(II) and Cd(II)). Spectroscopic analyses Fourier transform infrared (FT-IR), Nuclear Magnetic Resonance (NMR) Carbon-13 nuclear magnetic res

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Publication Date
Tue Feb 15 2011
Journal Name
Journal Of Sport Sciences
Setting standards for some physical abilities and according to basketball playing positions for Iraqi youth

أن لعبة كرة السلة في تقدم وتطور مستمر حالها في ذلك حال الألعاب الرياضية الأخرى حيث أن الفضل في ذلك يعود إلى المعرفة بالعلوم المختلفة وكذلك البحث العلمي من اجل تحقيق نتائج متقدمة تنشدها معظم الدول ومنها العراق على الصعيد المحلي والعربي والدولي. ومما لاشك فيه أن متطلبات تطور مستوى نتائج القدرات البدنية في أيُة لعبة مرتبطة بالبرمجة والتخطيط الصحيح للمناهج التدريبية إذ تقودنا هذه الحقيقة إلى إجراء المزيد من الا

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Publication Date
Sun Feb 10 2019
Journal Name
Journal Of The College Of Education For Women
Cognitive motivation and its relationship to the concept of self on middle school students (female)

The preparatory phase since it corresponds to adolescence are the most important stages of life , where the individual 's personality to take shape at this stage and start asking questions about the same , trying to discover the positive and negative traits hehas in order to form distinctive character and also is being he have Love Poll For everything that goes on around him.
And attention to cognitive motivation is important for students because the student who owns a motive cognitively looking for self - knowledge with conviction, and learning then be meaningful and lasts long. The motive of knowledge are common in which cognitive components does not mean exclusive knowledge on academic books and research in the narrow borders but a

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Publication Date
Tue Dec 06 2022
Journal Name
Iraqi National Journal Of Nursing Specialties
Effectiveness of an Interventional Program on Nurses Practices regarding Removing and Cleaning Burn Dead Tissue

Abstract

Objective(s): The study aims to measure the effectiveness of the program on removing dead tissue for burn patients by testing the nurses before the program in addition to testing them again after implementing the educational program.

Methodology: The study is quantitative in nature (one experimental) and will employ pre- and post-testing techniques between October 17, 2020 and March 20, 2022. A non-probability (purposive) sample of 24 nurses working in the Azadi Teaching Hospital's Burns and Plastic Surgery Center was chosen. The experimental survey of nursing practice, a literature review, scientific records, and previous research were all taken into considerat

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Publication Date
Wed Aug 01 2018
Journal Name
Journal Of Economics And Administrative Sciences
Estimating and Analyzing Food Security Indicators in Selected Arab Countries for the Period (1996 - 2012)

        The study hypothesize that the majority of Arab countries  show a poor agricultural economic efficiency which resulted in a weak productive capacity of wheat in the face of the demand, which in turn led to the fluctuation of the rate of self-sufficiency and thus increase the size of the food gap. The study aims at estimating and analyzing the food security indicators for their importance in shaping the Arabic agricultural policy, which aims to achieve food security through domestic production and reduce the import of food to less possible extent. Some of the most important results reached by the study were that the increase in the amount of consumption of wheat in the countries of t

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Publication Date
Thu Jun 15 2023
Journal Name
Journal Of Legal Sciences
Administrative Corruption in Contemporary Systems and the Role of Islamic Administrative Organization in Combating It

Administrative corruption is a concept that includes the abuse of entrusted power for personal benefit. It has become a prominent contemporary problem affecting all government systems around the world. It involves widespread harm and negative impact on progress and development, and is considered a threat at the international level because it impedes development programs and undermines the interests of the public. Administrative corruption threatens modern governments, distorts public policies, causes weaknesses in the oversight system, and affects the distribution of resources.

Islamic law is considered a pioneer in diagnosing this type of problem, as it provides clear solutions to eliminate administrative corruption, as Islamic

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Publication Date
Wed May 04 2022
Journal Name
Int. J. Nonlinear Anal. Appl.
Knee Meniscus Segmentation and Tear Detection Based On Magnitic Resonacis Images: A Review of Literature

The meniscus has a crucial function in human anatomy, and Magnetic Resonance Imaging (M.R.I.) plays an essential role in meniscus assessment. It is difficult to identify cartilage lesions using typical image processing approaches because the M.R.I. data is so diverse. An M.R.I. data sequence comprises numerous images, and the attributes area we are searching for may differ from each image in the series. Therefore, feature extraction gets more complicated, hence specifically, traditional image processing becomes very complex. In traditional image processing, a human tells a computer what should be there, but a deep learning (D.L.) algorithm extracts the features of what is already there automatically. The surface changes become valuable when

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