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.
This paper presents a hybrid approach for solving null values problem; it hybridizes rough set theory with intelligent swarm algorithm. The proposed approach is a supervised learning model. A large set of complete data called learning data is used to find the decision rule sets that then have been used in solving the incomplete data problem. The intelligent swarm algorithm is used for feature selection which represents bees algorithm as heuristic search algorithm combined with rough set theory as evaluation function. Also another feature selection algorithm called ID3 is presented, it works as statistical algorithm instead of intelligent algorithm. A comparison between those two approaches is made in their performance for null values estima
... Show MoreIn this paper, we generalized the principle of Banach contractive to the relative formula and then used this formula to prove that the set valued mapping has a fixed point in a complete partial metric space. We also showed that the set-valued mapping can have a fixed point in a complete partial metric space without satisfying the contraction condition. Additionally, we justified an example for our proof.
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
... Show MoreThis research presents the concepts of compatibility and edge spaces in
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.
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.
This paper introduces cutpoints and separations in -connected topological spaces, which are constructed by using the union of vertices set and edges set for a connected graph, and studies the relationships between them. Furthermore, it generalizes some new concepts.
The road network in Surdash anticline is considered as an important road network connecting lower Dukan town with the touristic upper Dukan town. Dukan lake plays an important role in the social and economic activities of Dukan town and the surrounding areas.
For assessing the stability of the rock slopes in the area, 9 stations were selected along the upper Dukan road on both sides of Surdash anticline, and their stability was evaluated by the kinematic analysis using DIPS V6.008 software.
Kinematic analysis of the studied stations shows thatplanar sliding is possible in stations No. 1, 2, 3 and 8, while wedge sliding is possible in station No. 5, 6, 7 and 9b. The other stations (No. 4and 9a) are stable. Tectonic structures
Background: Temperatures and seasons have been suggested as environmental factors that influence fecundity in mammals. It has been reported that there is a link between human fertility and seasonal changes.
Objectives: The aim of the study was to assess whether the seassonal changes in tempreture, humidity, light intensity and light duration do influence fecundity and reproduction in the study group of Iraqi women who were from Baghdad.
Patients and Methods:This study was conducted on 1638 randomly selected womenn who were from Baghdad city and were normaly delivered at Al- Elwiyah Maternity Teaching Hospital during 2014. A detailed questionnaire form was filled through d
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