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).
There is a great operational risk to control the day-to-day management in water treatment plants, so water companies are looking for solutions to predict how the treatment processes may be improved due to the increased pressure to remain competitive. This study focused on the mathematical modeling of water treatment processes with the primary motivation to provide tools that can be used to predict the performance of the treatment to enable better control of uncertainty and risk. This research included choosing the most important variables affecting quality standards using the correlation test. According to this test, it was found that the important parameters of raw water: Total Hardn
Women are considered important characters and subjects of discussion in the Glorious Qur’an. Some are portrayed in a positive light while others are condemned . Most women in the Glorious Qur’an are represented as either the mothers or wives of certain leaders and prophets. But the lexical items “Imra’a” امراة and “zawj” زوج occur in the Glorious Qur’an with different meanings depending on the context where they occur.
Translation of the Glorious Qur'an has always been a problematic and difficult issue. Since the Glorious Qur'an is regarded as miraculous and inimitable (i'jaz al-Qur'an), Muslims argue that the Qur'anic text should not be separated from its
... Show MoreThe reservoir characterization and rock typing is a significant tool in performance and prediction of the reservoirs and understanding reservoir architecture, the present work is reservoir characterization and quality Analysis of Carbonate Rock-Types, Yamama carbonate reservoir within southern Iraq has been chosen. Yamama Formation has been affected by different digenesis processes, which impacted on the reservoir quality, where high positively affected were: dissolution and fractures have been improving porosity and permeability, and destructive affected were cementation and compaction, destroyed the porosity and permeability. Depositional reservoir rock types characterization has been identified de
Objective This study aimed to compare the biomechanics of three-point shooting between elite Iraqi basketball players and international players, in order to identify key biomechanical differences that may impact shooting performance. Methods A total of 80 male basketball players participated in the study (40 elite Iraqi players and 40 international elite players). Kinematic data were collected using advanced motion analysis systems, force plates, and high-speed video analysis. The measured variables included joint angles, angular velocity, release speed, ball release angle, and ground reaction forces during three-point shooting. Each player performed 20 consecutive shots under controlled conditions. Group comparisons were conducted using st
... Show MoreIn order to minimize the significant incidents in chemical laboratories, specially the academic laboratories, one must be able to identify and evaluate hazards. Familiar with safety rules and responsibilities. Assessing implementation of safety rules and securities. The aim of this paper is to for the evaluate and assess the of chemical safety procedures and chemical policies in academic laboratories using statistical questionnaire. A form is written, suggested two main parts, safety and security. Safety part includes three classes, hardware requirements, training and application of safety procedures. the second part is security. The form design is based on four points Likert scale. T
The conducted research was done in Grda rasha field (Salahaddin University) for one month to compare the impacts of Alcea kurdica powder, Rifaxmine, and Ranitidine as anti-lesion and immune-strengthening agents on stress-induced quails which are affecting their growth rate and in severe cases causing gizzard erosion and deep intestinal lesions. To do that, 75 quails (12 weeks old) were grouped into six treatments with different additives. (T0-) = Negative control (Stress-induced Without treatment), (T0+) = Positive control (No stress inducing or treatment). T1= (treated with Rifaximine 200mg/L water mixed), T2= (treated with Ranitidine 200mg/L), T3= (treated with A.kurdica extract 100mg/L). The tested groups,
... Show MoreEye loss may be caused as a result of eye trauma, accidents, or malignant tumors, which leads the patient to undergo surgery to remove the damaged parts. This research examines the potential of computer vision represented by Structure from Motion (SfM) photogrammetry in fabricating the orbital prosthesis as a noninvasive and low-cost technique. A low-cost camera was used to collect the data towards extracting the dense 3D data of the patient facial features following Structure from Motion-Multi View Stereo (SfM-MVS) algorithms. To restore the defective orbital, a Reverse Engineering (RE) based approach has been applied using the similarity RE algorithms based on the opposite healthy eye to rehabilitate the defected orbital precisely
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