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Soft 𝒦(<i>sc</i>)-spaces
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Publication Date
Mon Feb 01 2016
Journal Name
International Journal Of Mathematics Trends And Technology
Rough and Near Rough Probability in Gm-Closure Spaces
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The primary aim of this paper, is to introduce the rough probability from topological view. We used the Gm-topological spaces which result from the digraph on the stochastic approximation spaces to upper and lower distribution functions, the upper and lower mathematical expectations, the upper and lower variances, the upper and lower standard deviation and the upper and lower r th moment. Different levels for those concepts are introduced, also we introduced some results based upon those concepts.

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Publication Date
Mon Aug 28 2023
Journal Name
Journal Of Planner And Development
Revive Urban Spaces on Right Side OF Mosul City
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         The living urban space is considered one of the most important elements of the success of modern cities, and it is the first mental image that is formed by people (residents and visitors) of the city , a measure of the frequency, presence and interaction of people in the spaces is an indication of the city's vitality, well-being and economic strength .

The occupation of the city of Mosul before the terrorist ISIS in 2014 and the subsequent liberation operations and the end of the war in 2017 had a great impact on the destruction of the old city on the right side and the death of its urban spaces due to the abandonment of people to it, especially the area (Al-Midan and Al-Qalayaat),

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Publication Date
Wed Nov 13 2024
Journal Name
Aip Conference Proceedings
On Sδ.derived and Sδ.isolated sets in supra topological spaces
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The topic of supra.topological.spaces considered one of the important topics because it is a generalization to topological.spaces. Many researchers have presented generalizations to supra open sets such as supra semi.open and supra pre.open sets and others. In this paper, the concept of δ∼open sets was employed and introduced in to the concept of supra topology and a new type of open set was extracted, which was named S∼δ∼open. Our research entails the utilization of this category of sets to form a new concepts in these spaces, namely S∼δ∼limit points and S∼δ∼derive points, and examining its relationship with S∼open and S∼reg∼open. Based on this class of sets, we have introduced other new concepts such as S∼isolate

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Publication Date
Tue Jun 11 2002
Journal Name
Iraqi Journal Of Laser
Investigating the Effects of Carbon Dioxide Laser Fluence on Oral Soft Tissue
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This study investigates the surgical and thermal effects on oral soft tissues produced by CO2 laser emitting at 10.6 micrometers with three different fluences 490.79, 1226.99 and 1840.4 J/cm2. These effects are specifically; incision depth, incision width and the tissue damage width and depth. The results showed that increasing the fluence and /or the number of beam passes increase the average depths of ablation. Moreover, increasing the fluence and the number of beam passes increase the adjacent tissue damage in width and depth. Surgeons using CO2 laser should avoid multiple pulses of the laser beam over the same area, to avoid unintentional tissue damage.

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Publication Date
Sat Feb 27 2021
Journal Name
Journal Of Engineering
Improvement of Unconfined Compressive Strength of Soft Clay using Microbial Calcite Precipitates
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The precipitation of calcite induced via microorganisms (MICP) is a technique that has been developed as an innovative sustainable ground improvement method utilizing ureolytic bacteria to soil strengthening and stabilization. Locally isolated Bacillus Sonorensis from Iraqi soil samples were found to have high abilities in producing urease. This study aims to use the MICP technique in improving the undrained shear strength of soft clay soil using two native urease producing bacteria that help in the precipitation of calcite to increase the cementation between soil particles. Three concentrations of each of the locally prepared Bacillus sonorensis are used in this study for cementation reagent (0.25M, 0.5M, and 1M) during

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Publication Date
Sat Aug 01 2020
Journal Name
Journal Of Engineering Science And Technology
Using sustainable material in improvement the geotechnical properties of soft clayey soil
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Publication Date
Wed Feb 01 2023
Journal Name
Baghdad Science Journal
Some New Fixed Point Theorems in Weak Partial Metric Spaces
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The main objective of this work is to introduce and investigate fixed point (F. p) theorems for maps that satisfy contractive conditions in weak partial metric spaces (W.P.M.S), and give some new generalization of the fixed point theorems of Mathews and Heckmann. Our results extend, and unify a multitude of (F. p) theorems and generalize some results in (W.P.M.S). An example is given as an illustration of our results.

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Publication Date
Mon May 11 2020
Journal Name
Baghdad Science Journal
Some properties of finite dimensional fuzzy anti-normed linear spaces
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            In this paper the definition of fuzzy anti-normed linear spaces and its basic properties are used to prove some properties of a finite dimensional fuzzy anti-normed linear space.    

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Publication Date
Thu Jan 01 2009
Journal Name
Ibn Al– Haitham Journal For Pure And Applied Science
Some Results on Fibrewise Lindelöf and Locally Lindelöf Topological Spaces
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In this paper we define and study new concepts of fibrewise topological spaces over B namely, fibrewise Lindelöf and locally Lindelöf topological spaces, which are generalizations of will-known concepts: Lindelöf topological space (1) "A topological space X is called a Lindelöf space if for every open cover of X has a countable subcover" and locally Lindelöf topological space (1) "A topological space X is called a locally Lindelöf space if for every point x in X, there exist a nbd U of x such that the closure of U in X is Lindelöf space". Either the new concepts are: "A fibrewise topological space X over B is called a fibrewise Lindelöf if the projection function p : X→B is Lindelöf" and "The fibrewise topological space X over B

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Publication Date
Sun Jan 01 2012
Journal Name
International Journal Of Computer Science Issues (ijcsi)
Near Rough and Near Exact Subgraphs in Gm-Closure spaces
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The basic concepts of some near open subgraphs, near rough, near exact and near fuzzy graphs are introduced and sufficiently illustrated. The Gm-closure space induced by closure operators is used to generalize the basic rough graph concepts. We introduce the near exactness and near roughness by applying the near concepts to make more accuracy for definability of graphs. We give a new definition for a membership function to find near interior, near boundary and near exterior vertices. Moreover, proved results, examples and counter examples are provided. The Gm-closure structure which suggested in this paper opens up the way for applying rich amount of topological facts and methods in the process of granular computing.

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