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g-Closed Soft Sets in Soft Closure Spaces
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Abstract<p>The aim of the present work is to define a new class of closed soft sets in soft closure spaces, namely, generalized closed soft sets (<italic>gc</italic>-soft sets, for short) which are defined over an initial universe set with a fixed set of parameters. This new class is a generalization to the class of closed soft sets. A necessary condition for a <italic>gc</italic>-soft set to be a soft closed is also obtainable. Moreover, the union and intersection of two <italic>gc</italic>-soft sets are discussed. Besides, some properties of <italic>gc</italic>-soft sets in the product soft closure spaces are also studied. Also, as an application of <italic>gc</italic>-soft sets a new soft separation axiom, namely <inline-formula> <tex-math><?CDATA ${T}_{\frac{1}{2}}$?></tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mrow> <msub> <mi>T</mi> <mrow> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </msub> </mrow> </math> <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1879_2_022128_ieqn1.gif" xlink:type="simple"></inline-graphic> </inline-formula>-soft closure space is introduced and its basic properties are investigated.</p>
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Publication Date
Sat Dec 01 2012
Journal Name
International Journal Of Contemporary Mathematical Sciences
Approximation by Convex Polynomials in Weighted Spaces
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Here, we found an estimation of best approximation of unbounded functions which satisfied weighted Lipschitz condition with respect to convex polynomial by means of weighted Totik-Ditzian modulus of continuity

Publication Date
Sun Jun 11 2017
Journal Name
Al-academy
Processors Functional Design In Public Interior Spaces
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It is general known that any design in various fields such as the interior design in the field of spaces interior for the public and specific buildings that is concern about the use of humans resident , as well as other considerations relating to the organization of design elements and lines of locomotors activity and the validity of appropriate receiving to provide comfort and achieve the requirements of the position in the space of restaurants field of research.
The researcher choose the title of this study (processors design career in public spaces), the analytical study of the spaces of restaurants, as one of the public spaces that are running in their general environment of people in various strata , ages and other levels , whic

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Publication Date
Wed Mar 10 2021
Journal Name
Baghdad Science Journal
Some Types of Mappings in Bitopological Spaces
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            This work, introduces some concepts in bitopological spaces, which are nm-j-ω-converges to a subset, nm-j-ω-directed toward a set, nm-j-ω-closed mappings, nm-j-ω-rigid set, and nm-j-ω-continuous mappings. The mainline idea in this paper is nm-j-ω-perfect mappings in bitopological spaces such that n = 1,2  and m =1,2 n m. Characterizations concerning these concepts and several theorems are studied, where j = q , δ, a , pre, b, b.

 

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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Paths and Cycles in Alpha Topological Spaces
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Abstract<p>This paper presents the concepts of prepaths, paths, and cycles in α-topological spaces and studies them in orderable spaces. Also, many relationships are proved with their equivalences using some properties in topological spaces like compactness and locally connectedness.</p>
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Publication Date
Fri Mar 01 2019
Journal Name
Al-khwarizmi Engineering Journal
Study The Influence of Forming Conditions Like Deformation Speed on Void Closure in Open Die Forging
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This paper presents an investigation to the effect of the forming speed on healing voids that inhabit at various size in an ingot. The study was performed by using finite element method with bilinear isotropic material option, circular type voids were considered. The closure index was able to predict the minimum press force necessary to consolidate voids and the reduction. The simulation was carried out, on circular cross-section lead specials containing a central void of different size. At a time with a flat die, different ratio of inside to outside radius was taken with different speed to find the best result of void closure.

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Publication Date
Wed Jan 20 2021
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
αg_Ị-open sets and αg_Ị-functions
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     The objective of this paper is to show modern class of open sets which is an -open. Some functions via this concept were studied and the relationships such as continuous function strongly -continuous function -irresolute function -continuous function.

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Publication Date
Wed Jul 20 2022
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Some Properties for the Restriction of P^*-field of Sets
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The restriction concept is a basic feature in the field of measure theory and has many important properties. This article introduces the notion of restriction of a non-empty class of subset of the power set on a nonempty subset of a universal set. Characterization and examples of the proposed concept are given, and several properties of restriction are investigated. Furthermore, the relation between the P*–field and the restriction of the P*–field is studied, explaining that the restriction of the P*–field is a P*–field too. In addition, it has been shown that the restriction of the P*–field is not necessarily contained in the P*–field, and the converse is true. We provide a necessary condition for the P*–field to obtain th

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Publication Date
Wed Jan 01 2020
Journal Name
Italian Journal Of Pure And Applied Mathematics
Duality of St-closed submodules and semi-extending modules
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The main goal of this paper is to dualize the two concepts St-closed submodule and semi-extending module which were given by Ahmed and Abbas in 2015. These dualizations are called CSt-closed submodule and cosemi-extending mod- ule. Many important properties of these dualizations are investigated, as well as some others useful results which mentioned by those authors are dualized. Furthermore, the relationships of cosemi-extending and other related modules are considered.

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Scopus
Publication Date
Sun May 01 2022
Journal Name
Journal Of Engineering
Parametric Study of a Two-Phase Closed Thermosyphon Loop
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A theoretical and experimental investigation was carried out to study the behavior of a two-phase closed thermosyphon loop (TPCTL) during steady-state operation using different working fluids. Three working fluids were investigated, i.e., distilled water, methanol, and ethanol. The TPCTL was constructed from an evaporator, condenser, and two pipelines (riser and downcomer). The driving force is the difference in pressure between the evaporator and condenser sections and the fluid returns to the heating section by gravity. In this study, the significant parameters used in the experiments were filling ratios (FR%) of 50%, 75%, and 100% and heat-input range at the evaporator section of 215-860.2 W. When the loop reached to

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Publication Date
Sun Dec 06 2009
Journal Name
Baghdad Science Journal
Some Results of Feebly Open and Feebly Closed Mappings
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The main purpose of this paper is to study feebly open and feebly closed mappings and we proved several results about that by using some concepts of topological feebly open and feebly closed sets , semi open (- closed ) set , gs-(sg-) closed set and composition of mappings.

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