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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
Sun Sep 06 2009
Journal Name
Baghdad Science Journal
Estimation of cellular immune response by evaluation of some cytokines in immunopathogenesis of chronic hepatitis B and C pre- and post- treated Iraqi patients (in vivo and in vitro)
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Two groups of chronic hepatitis B and C virus patients were divided into Pre-treated patients (25 CHB patients with positive HBs Ag for more than 6 months and 40 CHC patients), and post-treated patients [12 CHB patients (4, 6, and 2 were treated with lamivudine, IFN-? and combination of LMV + IFN-? respectively), and 27 patients for CHC (3, 13 and 11 patients were treated with Ribavirin, IFN-? and combination therapy (RBV+ IFN-?) respectively].These patients were followed up for 6 months. By using ELISA technique, levels of IL-6, IL-10, IFN-? and TNF-? were measured in vivo and in vitro (supernatant of PBMCs stimulated with PHA) and compared with healthy control. The mean level of IL-6, IL-10 and TNF-? in CHB patients showed significant dif

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Publication Date
Sun Feb 01 2026
Journal Name
Softwarex
A toolbox for real orthogonal polynomials
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Publication Date
Sun Feb 01 2026
Journal Name
Softwarex
A toolbox for real orthogonal polynomials
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Publication Date
Thu Nov 08 2018
Journal Name
Arab Science Heritage Journal
الدرر اللوامع في أصل مقرأ الإمام نافع لابن بري من مقررات المدرسة اليوسفية في غرناطة
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This paper try to shed light on one of interpretations of the prosody of Ibn Barry “Al-duraru l-lawāmi῾ fi maqra᾽i l-ImāmiNāfi῾” a famous prosody that students still study and spend time in memorize and understand it until this day. This interpretation is considered one of the simplest and appropriate to the nature of teaching in the early stages of education for students of Arabic in general. Also, we try very hard to extract the commons characteristics of this and other interpretation of the text we have, then effort a large text as an example of what we are going to say in conclusions.

 

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Publication Date
Tue Oct 01 2024
Journal Name
Results In Engineering
Nanomaterials in asphalt cement: exploring their single and combined effects on the physical and rheological properties
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Publication Date
Tue Jul 01 2025
Journal Name
Mastering The Minds Of Machines
The Impact of Transfer Learning and Pre-trained Models on Model Performance
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Publication Date
Sun Dec 30 2018
Journal Name
Journal Of Engineering
Effect of bentonite addition on some properties of porcelain
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Porcelain is one of the most important ceramic materials with a wide range of traditional and technical applications. Since most mixtures of porcelain have a high sintering temperature, bentonite has been added in this research to improve the characteristics of sintering and burning. The porcelain mixture consisted of the following Iraqi raw materials: 30% wt kaolin, 30 wt% non-plastic clay (grog), 10% wt sodium feldspar, 10 wt% potassium feldspar and 20 wt% flint. After the mechanical mixing process and transfer the powder mixture to the slurry by adding distilled water, then different weight percentage of the sodium bentonite(0, 2.5, 5, 7.5 and 10) wt% was added. The specimens were prepared by using the solid casting m

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Publication Date
Mon Jun 01 2020
Journal Name
Journal Of Engineering
Effect of Biopolymer Alginate on some properties of concrete
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Alginate from Large brown seaweeds act as natural polymer has been investigated as polymer and has been added to concrete in different percentages ( 0% , 0.5% , 1% and 1.5% ) by the cement weight and the study show the effect of using alginate biopolymer admixtures on  some of the fresh properties of the concrete (slump &  the density  fresh) also in the hardened state (  Compressive strength , Splitting tensile strength  and Flexural strength ) at 28 days. The mix proportion was (1:2.26:2.26) (cement: sand: gravel) respectively and at constant w/c equal to 0.47. The results indicate that the use of alginate as a percent of the cement weight possess a positive effect on fresh properties of co

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Publication Date
Mon Mar 08 2021
Journal Name
Baghdad Science Journal
some properties of the nonscillatory solutions of second order
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in this paper the second order neutral differential equations are incestigated are were we give some new suffucient conditions for all nonoscillatory

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Publication Date
Wed Jul 01 2020
Journal Name
Journal Of Engineering
Design of Multi-Rate Multi-Zone Wireless Fuzzy Temperature Control System for Greenhouse Application
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sensor sampling rate (SSR) may be an effective and crucial field in networked control systems.  Changing sensor sampling period after designing the networked control system is a critical matter for the stability of the system. In this article, a wireless networked control system with multi-rate sensor sampling is proposed to control the temperature of a multi-zone greenhouse. Here, a behavior based Mamdany fuzzy system is used in three approaches, first is to design the fuzzy temperature controller, second is to design a fuzzy gain selector and third is to design a fuzzy error handler. The main approach of the control system design is to control the input gain of the fuzzy temperature controller depending on the cur

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