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bsj-4776
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
Thu Mar 05 2026
Journal Name
Anatomy & Cell Biology
Comparative morphogenesis of mouse and rat mandibular first molars (M1): a review of developmental timing, structure, and signaling pathways
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Rodents have been studied widely to evaluate the cellular and molecular mechanism of tooth development, although significant differences exist between them that impact how the researchers design their experiment. The mandibular first molar M1 is the most studied tooth in both species and provides a model for crown morphogenesis, root initiation, periodontal ligament organization, and the tooth eruption. In mice the M1 development is rapid, the crown complete at birth and the tooth eruption postnatal P20–21, while in rats the tooth development events are delayed, with larger tooth germs and tooth eruption at P17. However, rats provide advantages for microinjection, histology and biochemical assays due to their larger molar compared to mice

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Publication Date
Thu Mar 15 2018
Journal Name
Journal Of Baghdad College Of Dentistry
The Study of Oral Findings, Oxidative Stress and Antioxidant Vitamin E in Serum and Saliva of Crohn's Patients on Azathioprine Monotherapy and those on Combination of Anti-TNF-α Plus Azathioprine
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Background: Crohn's disease (CD) is an immunological disorder associated with chronic inflammatory process of several unspecific regions of gastrointestinal tract but frequently detected in the terminal Ilium and proximal colon or both. This disease frequently presented with various oral manifestations as a consequence of inflammatory process of the disease, nutritional deficiency or medications side effects. Several therapeutic approaches have been developed for CD management that are targeting the inflammatory process and directed at controlling the host immune response. Immunosuppressants such as Azathioprine and anti-TNF α agents as well as the combination of them have been widely used as an effective therapeutic modality with a bett

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Publication Date
Mon Apr 01 2024
Journal Name
Medical Journal Of Babylon
Clinical Evaluation and Comparison between Effects of Rituximab and Prednisolone with Imuran to Neutrophils and Platelet Counts in Pemphigus Vulgaris Patients
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Background: Pemphigus vulgaris (PV) is an autoimmune vesiculobullous mucocutaneous disease with life-threatening consequences. Rituximab (RTX) has recently emerged as an effective treatment for PV. Objectives: This study aims to determine changes in neutrophil and platelet counts for PV patients treated with RTX or corticosteroids combined with Imuran (azathioprine). Materials and Methods: The present cross-sectional study was conducted in the Department of Dermatology at Baghdad Teaching Hospital, Baghdad, Iraq. Thirty PV patients received two types of treatment: 15 patients were administered RTX and 15 patients took corticosteroids with Imuran (azathioprine). Neutrophil and platelet counts were detected at the hospital laboratory. Results

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Publication Date
Sat Apr 04 2020
Journal Name
Biochemical And Cellular Archives
SYNTHESIS, CHARACTERIZATION AND EVALUATION OF ANTIOXIDANT IN-VIVO AND IN-VITRO AND ANTIBACTERIAL FOR N-(3,4- DIHYDROXYBENZYLIDENE) ACETOHYDRAZONE-2-(BENZYLTHIO) BENZIMIDAZOLE
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Publication Date
Wed Jun 01 2016
Journal Name
Arabian Journal Of Geosciences
Geochemistry and petrology of Late Miocene-Pleistocene Dibdibba sandstone formation in south and central Iraq: implications for provenance and depositional setting
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Publication Date
Thu Jun 30 2016
Journal Name
European Journal Of Chemistry
Reaction paths and transition states of the C-C and C-H bond cleavage in the aromatic anthracene and phenanthrene molecules
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The reaction paths of the C-C and C-H bond cleavage in the anthracene and phenanthrene aromatic molecules are studied by applying the ab-initio DFT method. It is found that the C-C bond cleavage proceeds via a singlet aromatic transition state, compelled through a disrotatoric ring opening reaction. A suprafacial H atom shift follows the transition state, leading to the formation of a methylene -CH2 and an acetylenic or allenic moiety. The calculated activation energies for anthracene range from 158.81-208.90 kcal/mol and the reaction energies from 96.106-156.976 kcal/mol. For phenanthrene, the energy values are 157.39-202.34 kcal/mol and 62.639-182.423 kcal/mol, respectively. For the C-H cleavage reactions, the calculated reaction energies

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Publication Date
Sun Mar 03 2013
Journal Name
Baghdad Science Journal
Preparation, Characterization and Spectroscopic Study of New Tridentate Schiff Base and its Cu(II), Ni(II) and Zn(II) Metal Complexes
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A new tridentate ligand has been synthesized derived from phenyl(pyridin-3-yl)methanone. Three coordinated metal complexes were prepared by complexation of the new ligand with Cu(II), Ni(II) and Zn(II) metal salts. The new Schiff base “benzyl -2-[phenyl(pyridin-3-yl)methylidene]hydrazinecarbodithioate” and the new metal complexes were characterized using various physico-chemical and spectroscopic techniques. From the analysis results, the expected structure to the metal complexes are octahedral in geometry for Cu(II) complex, square planner for Ni(II) and tetrahedral for Zn(II) complex. The new compounds are expected to show strong bioactivity against bacteria and cancer cells.

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Publication Date
Mon May 02 2022
Journal Name
Journal Of Research In Medical And Dental Science
Compression study of Irisin, Vitamin D and Kidney Function Parameters Between Iraqi Fracture Patients with and Without DM2 and Healthy Control
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Compression study of Irisin, Vitamin D and Kidney Function Parameters Between Iraqi Fracture Patients with and Without DM2 and Healthy Control, Omar Yousif Majnun*, Altaie AF

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Publication Date
Wed Jun 16 2021
Journal Name
Biochemical And Cellular Archives
Synthesis, characterization and pharmaceutical studies of schiff base from 2-pyrrolidinone derivative and imidazole-2-carboxaldehyde and corresponding complexes with Metal (||)
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Synthesis, characterization and pharmaceutical studies of schiff base from 2-pyrrolidinone derivative and imidazole-2-carboxaldehyde and corresponding complexes with Metal (||)

Publication Date
Wed Dec 30 2020
Journal Name
Al-kindy College Medical Journal
Comparative Study between Nasal Endoscopic Findings and Nose and Paranasal Sinus Computerized Tomography in diagnosis of Nose and Paranasal Sinuses Diseases
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Background: Nasal obstruction is common in otorhinolaryngology outpatient visitors. The diagnosis of such compliant is by history, clinical examination and diagnostic procedures. Nasal endoscopy and computerized tomography scan are common diagnostic investigations. Nasal obstruction is either anterior or posterior (nasal septal deviations, hypertrophied turbinate pathological cyst, polyps, mass etc), or postnasal obstruction (hypertrophied turbinate, adenoid hypertrophy, nasopharyngeal cyst or nasopharyngeal tumors).

Aim of study: Prospective study to compare endoscopic finding and computerized tomography of nose, paranasal sinuses and postnasal space as diagnostic methods for nasal obstruction and other nose, p

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