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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
Sun Feb 03 2019
Journal Name
Journal Of The College Of Education For Women
Words and structures refer in Alms Studying Languagal
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Alms (or Zakat) is one of the Pillar of Islam and it was atask imposed on
Muslims. Becomes of the importance of this task and its influence on the human
Psychic in particular and on the Society in general this study aims at Studying the
words that it refers to in the Holy Quran, At the beginning the researcher has
introduced the words it refers to, and the significance of each in the Holy Quran and
the Speciality of each one of such words, then the Structures they donet have been
also introduced, whether such structures are descriptive, adverbial or verbal.This was
introduced in addition to explaining the influence of changing the Shape of such
words in emphasizing the meaning and the influence of Portraiting styl

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Publication Date
Wed Feb 05 2020
Journal Name
Political Sciences Journal
“The constitutional- political structures in Iraq after 2003”
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It is obvious that the constitutional- political structures which has been emerged in Iraq after the occupation in 2003 frame worked by many sectarian, ethnic, tribal and political orientations, pushing forewords to escalating the contradictions between social- political powers, however, these changes unfortunately result not just destroy and taking apart the political regime and his authority, but the state and his institutions as well, although, did not stamped as wise and rational change for better future to new Iraq and its political, civil and military institutions. Finally, as quick as Iraq start to bisects to sectarian, ethnic and national components according to the new political – social components of Iraq. Indeed, what is req

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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 Jun 30 2024
Journal Name
Iraqi Journal Of Science
Some Games Via (D, DL) Compact Topological Groups
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    The aim of our work is to develop a new type of games which are related to (D, WD, LD) compactness of topological groups. We used an infinite game that corresponds to our work. Also, we used an alternating game in which the response of the second player depends on the choice of the first one. Many results of winning and losing strategies have been studied, consistent with the nature of the topological groups. As well as, we presented some topological groups, which fail to have winning strategies and we give some illustrated examples. Finally, the effect of functions on the aforementioned compactness strategies was studied.  

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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
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
Fri Dec 20 2024
Journal Name
Al-qadisiyah Journal Of Pure Science
Weakly and Strongly Forms of Fibrewise Fuzzy ω--Topological Spaces
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Abstract This paper is devoted to introduce weak and strong forms of fibrewise fuzzy u-topological spaces, namely the fibrewise fuzzy q-u-topological spaces, weakly fibrewise fuzzy q-u-topological spaces and strongly fibrewise fuzzy q-utopological 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 q-u-topological spaces and strongly fibrewise fuzzy q-utopological spaces.

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