Preferred Language
Articles
/
fhbAlYcBVTCNdQwCpFYR
g-Closed Soft Sets in Soft Closure Spaces
...Show More Authors
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>
Scopus Crossref
View Publication
Publication Date
Sat Apr 19 2025
Journal Name
Journal Of Baghdad College Of Dentistry
Photogrammetric analysis of facial soft tissue profile of Iraqi adults sample with Class II div.1 and Class III malocclusion: (A comparative study)
...Show More Authors

Background: The purposes of this study were to determine the photogrammetric soft tissue facial profile measurements for Iraqi adults sample with class II div.1 and class III malocclusion using standardized photographic techniques and to verify the existence of possible gender differences. Materials & methods: Seventy five Iraqi adult subjects, 50 class II div.1 malocclusion (24 males and 26 females), 25 class III malocclusion (14 males and 11 females), with an age range from 18-25 years. Each individual was subjected to clinical examination and digital standardized right side photographic records were taken in the natural head position. The photographs were analyzed using AutoCAD program 2007 to measure the distances and angles used in t

... Show More
View Publication Preview PDF
Publication Date
Thu Aug 29 2024
Journal Name
European Journal Of Orthodontics
Poly-ether-ether-ketone (PEEK) versus dead-soft coaxial bonded retainers: a randomized clinical trial. Part 1. Stability, retainer failure, and participant satisfaction
...Show More Authors
Abstract<sec> <title>Background

Poly-ether-ether-ketone (PEEK) was introduced in dentistry as an alternative to metal alloys.

Objective

To assess the effectiveness of PEEK-fixed retainers in preserving the stability of mandibular anterior and participant satisfaction as compared to the Dead-soft coaxial fixed retainer (DSC).

Trial design

A single-centre, two-arm parallel groups

... Show More
View Publication
Scopus (1)
Crossref (2)
Scopus Clarivate Crossref
Publication Date
Wed Aug 09 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Some Results on Semi-preopen Sets
...Show More Authors

    The definition of semi-preopen sets were first introduced by "Andrijevic" as were is defined by :Let (X ,  ) be a topological space, and let  A ⊆,    then Ais called semi-preopen set if ⊆∘ .        In this paper, we study the properties of semi-preopen sets but by another  definition which is equivalent to the first definition and we also study the relationships among it and (open, α-open, preopen and semi-p-open )sets.

View Publication Preview PDF
Publication Date
Sat Apr 01 2023
Journal Name
Full Text Book Of Minar Congress8
REGULARITY VIA PRE- GENERALIZED OPEN SETS
...Show More Authors

By use the notions pre-g-closedness and pre-g-openness we have generalized a class of separation axioms in topological spaces. In particular, we presented in this paper new types of regulαrities, which we named ρg­regulαrity and Sρg­regulαrity. Many results and properties of both types have been investigated and have illustrated by examples.

View Publication
Crossref
Publication Date
Mon Aug 07 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Some Results on Semi-preopen Sets
...Show More Authors

      The definition of semi-preopen sets were first introduced by "Andrijevic" as were is defined by :Let (X ,  ) be a topological space, and let  A ⊆,    then A is called semi-preopen set if ⊆∘ .        In this paper, we study the properties of semi-preopen sets but by another  definition which is equivalent to the first definition and we also study the relationships among it and (open, α-open, preopen and semi-p-open )sets.

View Publication Preview PDF
Publication Date
Mon Mar 13 2017
Journal Name
Journal Of Baghdad College Of Dentistry
Effect of The CO2 Laser as Surface Treatment on The Bond Strength of Heat Cured Soft Liner to The High Impact Acrylic Denture Base Material
...Show More Authors

ABSRTACT Background: Soft liner material is become important in dental prosthetic treatment. They are applied to the surface of the dentures to achieve more equal force distribution , reduce localized pressure and improve denture retention by engaging undercut . So the aim of the study is to evaluate the effect of different surface treatment by air-abrasion AL2O3 and laser treatment with CO2 laser on improving the shear bond strength of the denture liner to acrylic denture base material . Materials and methods: the 30 specimens of heat cured acrylic denture base material (high Impact acrylic )and heat cured soft liner (Vertex ,Nether Lands )were prepared for this study .They were designed and divided according to type of the s

... Show More
View Publication Preview PDF
Crossref (5)
Crossref
Publication Date
Wed Sep 13 2023
Journal Name
Aip Conference Proceedings
Results for the (b,t)-blocking sets in PG(2,8)
...Show More Authors

View Publication
Scopus Crossref
Publication Date
Fri Jan 01 2021
Journal Name
Int. J. Nonlinear Anal. Appl.
Feeble regular and feeble normal spaces in α-topological spaces using graph
...Show More Authors

This paper introduces some properties of separation axioms called α -feeble regular and α -feeble normal spaces (which are weaker than the usual axioms) by using elements of graph which are the essential parts of our α -topological spaces that we study them. Also, it presents some dependent concepts and studies their properties and some relationships between them.

Preview PDF
Scopus (1)
Scopus Clarivate
Publication Date
Wed Mar 10 2021
Journal Name
Baghdad Science Journal
ON G-OPEN SET
...Show More Authors

A new class of generalized open sets in a topological space, called G-open sets, is introduced and studied. This class contains all semi-open, preopen, b-open and semi-preopen sets. It is proved that the topology generated by G-open sets contains the topology generated by preopen,b-open and semi-preopen sets respectively.

View Publication Preview PDF
Crossref
Publication Date
Sun Mar 01 2009
Journal Name
Baghdad Science Journal
On Monotonically T2-spaces and Monotonicallynormal spaces
...Show More Authors

In this paper we show that if ? Xi is monotonically T2-space then each Xi is monotonically T2-space, too. Moreover, we show that if ? Xi is monotonically normal space then each Xi is monotonically normal space, too. Among these results we give a new proof to show that the monotonically T2-space property and monotonically normal space property are hereditary property and topologically property and give an example of T2-space but not monotonically T2-space.

View Publication Preview PDF
Crossref