During this paper, a new definition of MS-continuous mapping, MS-mixed monotone and muli-coupled points are introduced. Also, we prοved the muli-coupled point theorem in complete S.metric space.
{"title":"On multi-coupled points of continuous mappings in generalized metric spaces","authors":"Z. H. Maibed","doi":"10.47974/jim-1461","DOIUrl":"https://doi.org/10.47974/jim-1461","url":null,"abstract":"During this paper, a new definition of MS-continuous mapping, MS-mixed monotone and muli-coupled points are introduced. Also, we prοved the muli-coupled point theorem in complete S.metric space.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70465609","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. Akour, E. K. Jaradat, Audai A Mahadeen, Omar K. Jaradat
Homotopy perturbation method spread to express a good solution of one of most important equation in various areas in science which is the Bateman-Burgers’ Equation. Homotopy perturbation method (HPM) investigate a particular success in solving linear and nonlinear Betman differential equations in both one and two dimension cases.
{"title":"Describing Bateman-Burgers’ equation in one and two dimensions using Homotopy perturbation method","authors":"A. Akour, E. K. Jaradat, Audai A Mahadeen, Omar K. Jaradat","doi":"10.47974/jim-1474","DOIUrl":"https://doi.org/10.47974/jim-1474","url":null,"abstract":"Homotopy perturbation method spread to express a good solution of one of most important equation in various areas in science which is the Bateman-Burgers’ Equation. Homotopy perturbation method (HPM) investigate a particular success in solving linear and nonlinear Betman differential equations in both one and two dimension cases.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70465733","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Conjugate gradient (CG) is a simple and inexpensive method for solving large-scale unconstrained optimization problems. A new value for the Dai-Liao formula’s parameter is offered based on this property. For the sake of this discussion, the following characteristics are relevant: descent conditions and global convergence may be found for the Wolfe-Powell line. The algorithm provided here outperforms other techniques. The conjugate gradient was also utilized in regression analysis and showed a better result than least squares and trend lines.
{"title":"Conjugate gradient method for solving unconstrained optimization problems: A new investigation and application","authors":"Huda Y. Najm, Huda I. Ahmed","doi":"10.47974/jim-1465","DOIUrl":"https://doi.org/10.47974/jim-1465","url":null,"abstract":"Conjugate gradient (CG) is a simple and inexpensive method for solving large-scale unconstrained optimization problems. A new value for the Dai-Liao formula’s parameter is offered based on this property. For the sake of this discussion, the following characteristics are relevant: descent conditions and global convergence may be found for the Wolfe-Powell line. The algorithm provided here outperforms other techniques. The conjugate gradient was also utilized in regression analysis and showed a better result than least squares and trend lines.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70465893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Among the basic concepts that have a vital role in producing comprehensive topologies is a regular space. In this respect, a new definition is introduced in the current study of separation properties. The term JG-regular is given to it. Then its important properties and connection with regular, JG-compact and H-closed are presented.
{"title":"Regularity in ideal grill topological space","authors":"Alyaa Yousef Khudayer Mutawek, R. Al-Abdulla","doi":"10.47974/jim-1498","DOIUrl":"https://doi.org/10.47974/jim-1498","url":null,"abstract":"Among the basic concepts that have a vital role in producing comprehensive topologies is a regular space. In this respect, a new definition is introduced in the current study of separation properties. The term JG-regular is given to it. Then its important properties and connection with regular, JG-compact and H-closed are presented.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70466649","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this research, a new application has been developed for games by using the generalization of the separation axioms in topology, in particular regular, Sg-regular and SSg- regular spaces. The games under study consist of two players and the victory of the second player depends on the strategy and choice of the first player. Many regularity, Sg, SSg regularity theorems have been proven using this type of game, and many results and illustrative examples have been presented.
{"title":"Some games via semi-generalized regular spaces","authors":"Afraa R. Sadek, M. A. A. Karim","doi":"10.47974/jim-1518","DOIUrl":"https://doi.org/10.47974/jim-1518","url":null,"abstract":"In this research, a new application has been developed for games by using the generalization of the separation axioms in topology, in particular regular, Sg-regular and SSg- regular spaces. The games under study consist of two players and the victory of the second player depends on the strategy and choice of the first player. Many regularity, Sg, SSg regularity theorems have been proven using this type of game, and many results and illustrative examples have been presented.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70467314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Vivek Kumar, Vinita Rani, N. Anand, N. K. Patel, Shailja Pandey, N. Jain, Dinesh Goyal
In the highly working system based on demand service model for end users. The on-demand service model consists of memory storage, hardware management, information processing and various IoT applications using mathematical programming logics with optimized fuzzy model. By using the fuzzy model, the end users get the best optimal cloud services. For providing cloud services in an optimized way the fuzzy logic is playing an important role. The developed algorithm is efficient in terms of cost and time for the cloud service providers. The simulation of our algorithm is done in cloud simulator.
{"title":"A mathematical taxonomy towards fuzzy based optimized cloud sales services","authors":"Vivek Kumar, Vinita Rani, N. Anand, N. K. Patel, Shailja Pandey, N. Jain, Dinesh Goyal","doi":"10.47974/jim-1671","DOIUrl":"https://doi.org/10.47974/jim-1671","url":null,"abstract":"In the highly working system based on demand service model for end users. The on-demand service model consists of memory storage, hardware management, information processing and various IoT applications using mathematical programming logics with optimized fuzzy model. By using the fuzzy model, the end users get the best optimal cloud services. For providing cloud services in an optimized way the fuzzy logic is playing an important role. The developed algorithm is efficient in terms of cost and time for the cloud service providers. The simulation of our algorithm is done in cloud simulator.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468742","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Significant research work is being done in the field of WSN and standardization of many aspects is being looked into. The most well-known procedures for optimising energy in WSNs are using hierarchical topology. LEACH is a hierarchical topology which was introduced initially and served as the basis for achieving energy efficiency in WSN. However, LEACH has certain limitations which has led to a lot of research in improving the conventional LEACH performance. The current study is based on the use of certain algorithms and strategy to enhance the performance of the conventional LEACH protocol. By focusing on parameters such as cluster head formation, energy expenditure in transmission etc., the performance such as throughput and network life may be extended using this enhanced LEACH.
{"title":"A mathematical optimization of the lifetime of the wireless sensor network using ML- based energy dependent clustering and tiered routing algorithm","authors":"Paritosh Kumar Shah, Arun K. Kumar, Mehedi Masud","doi":"10.47974/jim-1666","DOIUrl":"https://doi.org/10.47974/jim-1666","url":null,"abstract":"Significant research work is being done in the field of WSN and standardization of many aspects is being looked into. The most well-known procedures for optimising energy in WSNs are using hierarchical topology. LEACH is a hierarchical topology which was introduced initially and served as the basis for achieving energy efficiency in WSN. However, LEACH has certain limitations which has led to a lot of research in improving the conventional LEACH performance. The current study is based on the use of certain algorithms and strategy to enhance the performance of the conventional LEACH protocol. By focusing on parameters such as cluster head formation, energy expenditure in transmission etc., the performance such as throughput and network life may be extended using this enhanced LEACH.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
H. Nguyen, Hoa Huynh, Thanh T. Mai, Dung A. Tran, Diem Nguyen, Van-Thanh Nguyen-Le
Distance learning can be facilitated through e-learning, and students can enhance their understanding of course materials through the use of an intelligent querying system that enables self-learning. In this paper, an ontology-based method for organizing the knowledge of mathematics in high-school is presented. Ontology Rela-Ops model, which is a knowledge model for representing the knowledge of relations and operators, is combined with the knowledge component of functions. Based on the combining model, a structure of knowledge graph is proposed to represent relations of intellectual contents. An intelligent querying system is designed for the domain of high-school mathematics using these structures. This searching system can query contents of the course and extracts other knowledge related to querying results. The experimental results show that the proposed method is useful and effective to apply in the practice.
{"title":"Design an ontology-based model for intelligent querying system in mathematics education","authors":"H. Nguyen, Hoa Huynh, Thanh T. Mai, Dung A. Tran, Diem Nguyen, Van-Thanh Nguyen-Le","doi":"10.47974/jim-1674","DOIUrl":"https://doi.org/10.47974/jim-1674","url":null,"abstract":"Distance learning can be facilitated through e-learning, and students can enhance their understanding of course materials through the use of an intelligent querying system that enables self-learning. In this paper, an ontology-based method for organizing the knowledge of mathematics in high-school is presented. Ontology Rela-Ops model, which is a knowledge model for representing the knowledge of relations and operators, is combined with the knowledge component of functions. Based on the combining model, a structure of knowledge graph is proposed to represent relations of intellectual contents. An intelligent querying system is designed for the domain of high-school mathematics using these structures. This searching system can query contents of the course and extracts other knowledge related to querying results. The experimental results show that the proposed method is useful and effective to apply in the practice.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
R. Manikandan, R. K. Maurya, Tariq Rasheed, S. Bose, J. L. Arias-Gonzáles, Udit Mamodiya, Ashish Tiwari
The recent research is developing in a vast speed to develop the cloud orchestration system. In cloud system the remotely managed servers are storing, finding, removing, replacing and retrieving the various services in an adaptive optimized manner. The lot of services are provided by the vast number of providers in the market with the help of approximation theory by the rough set system (RST). RST finds in helping in getting the efficient cloud resources as a service to the users. The proposed OCRS (Optimized Cost Resource System) approach is being simulated and compared with the existing cloud simulator. The simulator gives the approximate results in many parameters of cloud services. In all aspects our algorithm is performing better.
{"title":"Adaptive cloud orchestration resource selection using rough set theory","authors":"R. Manikandan, R. K. Maurya, Tariq Rasheed, S. Bose, J. L. Arias-Gonzáles, Udit Mamodiya, Ashish Tiwari","doi":"10.47974/jim-1662","DOIUrl":"https://doi.org/10.47974/jim-1662","url":null,"abstract":"The recent research is developing in a vast speed to develop the cloud orchestration system. In cloud system the remotely managed servers are storing, finding, removing, replacing and retrieving the various services in an adaptive optimized manner. The lot of services are provided by the vast number of providers in the market with the help of approximation theory by the rough set system (RST). RST finds in helping in getting the efficient cloud resources as a service to the users. The proposed OCRS (Optimized Cost Resource System) approach is being simulated and compared with the existing cloud simulator. The simulator gives the approximate results in many parameters of cloud services. In all aspects our algorithm is performing better.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70469069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper presents a mathematical model for free kick and penalty in Soccer. The modeling is done by assuming the ball moves inside the air fluid and takes into account the influence of the direction, speed, rotation, and the elevation angle of the ball with the ground, and gravitational acceleration of aerodynamic forces such as drag force and Magnus force. The results of this modeling can explain physically how a player can do a very spectacular free kick, the ball soars high over the posse and suddenly dips towards the goal. Moreover, if the player gets the optimal value of the components, goals can be scored from these shots.
{"title":"Mathematical models of free kick and penalty in soccer","authors":"R. Doewes, G. Elumalai, S. H. Azmi","doi":"10.47974/jim-1680","DOIUrl":"https://doi.org/10.47974/jim-1680","url":null,"abstract":"This paper presents a mathematical model for free kick and penalty in Soccer. The modeling is done by assuming the ball moves inside the air fluid and takes into account the influence of the direction, speed, rotation, and the elevation angle of the ball with the ground, and gravitational acceleration of aerodynamic forces such as drag force and Magnus force. The results of this modeling can explain physically how a player can do a very spectacular free kick, the ball soars high over the posse and suddenly dips towards the goal. Moreover, if the player gets the optimal value of the components, goals can be scored from these shots.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70469316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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