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Topological Structures on Vertex Set of Digraphs
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Relation on a set is a simple mathematical model to which many real-life data can be connected. A binary relation  on a set  can always be represented by a digraph. Topology on a set  can be generated by binary relations on the set . In this direction, the study will consider different classical categories of topological spaces whose topology is defined by the binary relations adjacency and reachability on the vertex set of a directed graph. This paper analyses some properties of these topologies and studies the properties of closure and interior of the vertex set of subgraphs of a digraph. Further, some applications of topology generated by digraphs in the study of biological systems are cited.

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Publication Date
Tue Oct 20 2020
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Fuzzy Semi Pre Homeomorphism in Fuzzy Topological Spaces
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   The aim of this paper is to introduce and study new class of fuzzy function called fuzzy semi pre homeomorphism in a fuzzy topological space by utilizing fuzzy semi pre-open sets. Therefore, some of their characterization has been proved; In addition to that we define, study and develop corresponding to new class of fuzzy semi pre homeomorphism in fuzzy topological spaces using this new class of functions.

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Publication Date
Thu Jul 01 2021
Journal Name
Journal Of Physics: Conference Series
Compatibility and Edge Spaces in Alpha - Topological Spaces
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Abstract<p>This research presents the concepts of compatibility and edge spaces in <italic>α</italic>-topological spaces, and introduces the <italic>α</italic>-topology combinatorially induced by the <italic>α</italic>-topology. Furthermore, studies the relationship between the <italic>α</italic>-topology on <italic>V</italic> ∪ <italic>E</italic> and the relative <italic>α</italic>-topology on <italic>V</italic>.</p>
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Publication Date
Sun Feb 20 2011
Journal Name
مجلة الاداب
השורשים השניים בלשון העברית (עיון אנאליטי השוואתי)
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התמצית השניות היא התורה שנזכרת כי המוצאים בלשון הערבית וכך בלשונות השמיות אינם הבטויים בעלי האותיות השלושיות , אלא בעלי שתי אותיות . לפי כך אפשר להשיב השורשים השלושיים לשורשים השניים . וכל אות שנאספה בשורש שׁניוני, יהיה לפי חוק ההתפתחות הלשונית , הוספות תחילית , תוכית , סופית , עם השארת החיבור המשמעתית בין השׁניוני והשׁלשׁי כמו היא ממושכת בין השׁלשׁי והרביעי ומה שרבה ההוספות . השרשים השניים מוצאים הם: אות וה

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Publication Date
Wed Jan 01 2020
Journal Name
Iraqi Journal Of Applied Physics
Effects of Operation Parameters on Structures and Surface Morphology of Tin Dioxide Nanostructures Prepared by DC Reactive Sputtering
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Publication Date
Fri Jul 14 2023
Journal Name
International Journal Of Information Technology &amp; Decision Making
A Decision Modeling Approach for Data Acquisition Systems of the Vehicle Industry Based on Interval-Valued Linear Diophantine Fuzzy Set
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Modeling data acquisition systems (DASs) can support the vehicle industry in the development and design of sophisticated driver assistance systems. Modeling DASs on the basis of multiple criteria is considered as a multicriteria decision-making (MCDM) problem. Although literature reviews have provided models for DASs, the issue of imprecise, unclear, and ambiguous information remains unresolved. Compared with existing MCDM methods, the robustness of the fuzzy decision by opinion score method II (FDOSM II) and fuzzy weighted with zero inconsistency II (FWZIC II) is demonstrated for modeling the DASs. However, these methods are implemented in an intuitionistic fuzzy set environment that restricts the ability of experts to provide mem

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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
The Homomorphism of a cubic set of a semigroup in a KU-algebra
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Abstract<p>The study of homomorphisms in cubic sets is considered one of the important concepts that transfer algebraic properties between different structures, so we study a homomorphism of a cubic set of a semigroup in a KU-algebra and defined the product of two cubic sets in this structure. Firstly, we define the image and the inverse image of a cubic set in a KU-semigroup and achieve some results in this notion. Secondly, the Cartesian product of cubic subsets in a KU-semigroup is discussed and some important characteristics are proved.</p>
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Publication Date
Sat Apr 01 2023
Journal Name
Al-qadisiyah Journal Of Pure Science
Weakly and Strongly Forms of Fibrewise Fuzzy ω-Topological Spaces
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This paper is devoted to introduce weak and strong forms of fibrewise fuzzy ω-topological spaces, namely the fibrewise fuzzy -ω-topological spaces, weakly fibrewise fuzzy -ω-topological spaces and strongly fibrewise fuzzy -ω- topological spaces. Also, Several characterizations and properties of this class are also given as well. Finally, we focused on studying the relationship between weakly fibrewise fuzzy -ω-topological spaces and strongly fibrewise fuzzy -ω-topological spaces.

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Publication Date
Tue Mar 12 2024
Journal Name
Semiconductor Physics, Quantum Electronics And Optoelectronics
Numerical study of single-layer and interlayer grating polarizers based on metasurface structures for quantum key distribution systems
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Polarization is an important property of light, which refers to the direction of electric field oscillations. Polarization modulation plays an essential role for polarization encoding quantum key distribution (QKD). Polarization is used to encode photons in the QKD systems. In this work, visible-range polarizers with optimal dimensions based on resonance grating waveguides have been numerically designed and investigated using the COMSOL Multiphysics Software. Two structures have been designed, namely a singlelayer metasurface grating (SLMG) polarizer and an interlayer metasurface grating (ILMG) polarizer. Both structures have demonstrated high extinction ratios, ~1.8·103 and 8.68·104 , and the bandwidths equal to 45 and 55 nm for th

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Publication Date
Sun Feb 10 2019
Journal Name
Journal Of The College Of Education For Women
Narrative Structures in Abu AL– Hassan AL- Shushtary Poetry
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The Al-Shishtary is considered one of the well-known Andalus poets. His poetry represents a flood of kind emotions, springs from the sincere sources of Divine Love, and this is what we felt in his life and his literary prestige. He was a poet who was familiar withthe art of his timeknowsthe oldand popularintellectual assets ofIslamicSciencesof Sharee'a. This wide culture, which he had, is available to him through his many travels between the coasts of Syria, Egypt and others ... to become Imam of the religion way known as(Al-Shishtariyah)resonatedin the hearts ofthe general publicespecially the poor people. This showshis smoothand influential styleand his humanitarian andsimple words which resonate in the hearts of his followers, therefo

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Publication Date
Tue Nov 05 2019
Journal Name
Cardiff University
Technology development for nanoscale InSb quantum split-gate structures
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