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Fuzzy Real Pre-Hilbert Space and Some of Their Properties
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In this work, two different structures are proposed which is fuzzy real normed space (FRNS) and fuzzy real Pre-Hilbert space (FRPHS). The basic concept of fuzzy norm on a real linear space is first presented to construct  space, which is a FRNS with some modification of the definition introduced by G. Rano and T. Bag. The structure of fuzzy real Pre-Hilbert space (FRPHS) is then presented which is based on the structure of FRNS. Then, some of the properties and related concepts for the suggested space FRN such as -neighborhood, closure of the set  named , the necessary condition for separable, fuzzy linear manifold (FLM) are discussed. The definition for a fuzzy seminorm on  is also introduced with the prove that a fuzzy seminorm on  is FRNS. The relationship between the -convergent sequence, -Cauchy sequence and -completeness is then investigated in this work. The structure of FRPHS with some important properties concerning on this space are introduced and proved. In addition, the property of orthogonality with some important properties for these spaces is included, for example the annihilator of the set . The relation between FRPHS and FRNS is investigated in the present work. Finally, after introducing the structure of FRPHS, it leads naturally to the definition of the most important class of FRPHS, namely the fuzzy real Hilbert space (FRHS).

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Publication Date
Wed Mar 30 2022
Journal Name
College Of Islamic Sciences
The Neglected Narrators in " Weak and Abandoned narrators" Book of Al-Darqutni and Their Relationship to the Abandonment
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The research handles the prominent books of The Weak and Unknown Narrators , which is written by Imam Abu Al-Hasan Al-Daraqutni. It contains a brief introduction about the book and about Abu Bakr Al-Barqani, as well as Abi Mansour Ibn Hamkan.

The research handles the issue of unknown narrators and their relationship to the abandonment stipulated in the preamble to the book.

The research dealt with the identification and comparison between the sayings of Al-Daraqutni and his students - especially Al-Burqani, the publisher of his knowledge, as he is the one who narrated the sayings of Al-Daraqutni. The study concluded that the principle is to abandon the me

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Publication Date
Tue Jun 01 2021
Journal Name
Journal Of Petroleum Exploration And Production Technology
Incremental and acceleration production estimation and their effect on optimization of well infill locations in tight gas reservoirs
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Abstract<p>The main role of infill drilling is either adding incremental reserves to the already existing one by intersecting newly undrained (virgin) regions or accelerating the production from currently depleted areas. Accelerating reserves from increasing drainage in tight formations can be beneficial considering the time value of money and the cost of additional wells. However, the maximum benefit can be realized when infill wells produce mostly incremental recoveries (recoveries from virgin formations). Therefore, the prediction of incremental and accelerated recovery is crucial in field development planning as it helps in the optimization of infill wells with the assurance of long-term economic sustainabi</p> ... Show More
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Publication Date
Mon Jul 10 2023
Journal Name
Russian Journal Of Bioorganic Chemistry
Synthesis and Characterization of New 1,3,4-Oxadiazole Ring on Creatinine Derivatives Using Iodine and Study Their Anticancer Effect
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Publication Date
Sun Jan 01 2023
Journal Name
مجلة الأطروحة العلمية المحكمة-العلوم الصرفة والتطبيقية
Detection of Lead (Pb) and Cadmium (Cd) Concentrations in Some Indomie Samples
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Publication Date
Thu Feb 27 2025
Journal Name
Journal Of Lifestyle And Sdgs Review
Integrating Quantum Computing and Predictive Analytics and Their Role in Reducing Costs and Achieving Sustainable Development Goals
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Objectives: The research aims to demonstrate the integration between Quantum Computing (QC) and Predictive Analysis (PA) and their role in reducing costs while achieving Sustainable Development Goals (SDGs). The study addresses the inefficiencies in calculating and measuring product costs under traditional systems and examines how QC and PA can enhance cost reduction and product quality to better meet customer needs. Additionally, the research seeks to strengthen the theoretical framework with practical applications, illustrating how this integration improves a company’s competitive position while promoting social, environmental, and economic sustainability.   Methods: The study employs a descriptive analytical approach, focusi

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Publication Date
Thu Nov 17 2011
Journal Name
Environmental Earth Sciences
Geochemistry and mineralogical composition of the airborne particles of sand dunes and dust storms settled in Iraq and their environmental impacts
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Publication Date
Wed Dec 14 2016
Journal Name
Journal Of Baghdad College Of Dentistry
Assessment of Salivary α-amylase and Flow Rate Levels and Their Correlation with Gingivitis and Severity of Chronic Periodontitis (Part: 1)
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Background: Periodontal diseases are bacterial infections of the gingiva, bone and attachment fibers that support the teeth and hold them in the jaw. α-amylase is an enzyme, produced mainly by parotid gland and it seems to play a role in maintaining mucosal immunity. Aims of the study: Determine the salivary levels of α-Amylase and flow rate and their correlations with clinical periodontal parameters(Plaque Index , Gingival Index , Bleeding on Probing , Probing Pocket Depth , and Clinical Attachment Level ) and the correlation between α-Amylase with flow rate of study groups that consist of ( patients had gingivitis and patients had chronic periodontitis with different severities(mild ,moderate ,severe) and control group . Ma

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Publication Date
Fri Mar 31 2023
Journal Name
2nd International Conference On Mathematical Techniques And Applications: Icmta2021
Annealing effect on structural and optical properties of Sb2S3 thin film
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The effect of annealing on the structural and optical properties of Antimony trisulfide (Sb2S3) is investigated. Sb2S3 powder is vaporized on clean glass substrates at room temperature under high vacuum pressure to form thin films. The structural research was done with the aid of X-ray diffraction (XRD) and atomic force microscopy (AFM). The amorphous to the polycrystalline transformation of these thin films was shown by X-ray diffraction analysis after thermal annealing. These films' morphology is explained. The absorption coefficient and optical energy gap of the investigated films are calculated using transmission spectra. Both samples have strong absorption in the visible spectrum, according to UV-visible absorption spectra. The optical

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Publication Date
Sat Oct 01 2022
Journal Name
Nuclear Instruments And Methods In Physics Research Section B: Beam Interactions With Materials And Atoms
Shielding properties and buildup factor of Al2O3/PbO-based ceramic materials
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Publication Date
Sun Sep 04 2016
Journal Name
Baghdad Science Journal
Studying The Optical Properties of CdO and CdO: Bi Thin Films
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Cadmium Oxide and Bi doped Cadmium Oxide thin films are prepared by using the chemical spray pyrolysis technique a glass substrate at a temperature of (400?C) with volumetric concentration (2,4)%. The thickness of all prepared films is about (400±20) nm. Transmittance and Absorbance spectra are recorded in the wave length ranged (400-800) nm. The nature of electronic transitions is determined, it is found out that these films have directly allowed transition with an optical energy gap of (2.37( eV for CdO and ) 2.59, 2.62) eV for (2% ,4%) Bi doped CdO respectively. The optical constants have been evaluated before and after doping.

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