Pub Date : 2022-08-01DOI: 10.1051/wujns/2022274281
J. Ma, Wenjing Yang, Yanping Zhou
The Brunn-Minkowski type and the cyclic Brunn-Minkowski type inequalities for the i-th general Lp-mixed width-integral of convex bodies are established. Further, two cyclic inequalities for the differences of i-th general Lp-mixed width-integral of convex bodies are obtained.
{"title":"Some Inequalities about the General Lp-Mixed Width-Integral of Convex Bodies","authors":"J. Ma, Wenjing Yang, Yanping Zhou","doi":"10.1051/wujns/2022274281","DOIUrl":"https://doi.org/10.1051/wujns/2022274281","url":null,"abstract":"The Brunn-Minkowski type and the cyclic Brunn-Minkowski type inequalities for the i-th general Lp-mixed width-integral of convex bodies are established. Further, two cyclic inequalities for the differences of i-th general Lp-mixed width-integral of convex bodies are obtained.","PeriodicalId":23976,"journal":{"name":"Wuhan University Journal of Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41457620","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}
Pub Date : 2022-08-01DOI: 10.1051/wujns/2022274296
Yuqing Yuan, Weizhong Wang
Let [see formula in PDF] be a simple graph having vertex set [see formula in PDF]and edge set [see formula in PDF], where all [see formula in PDF] are distinct prime factors and [see formula in PDF] is the set of all units of the ring [see formula in PDF]be a signed graph whose underlying graph is [see formula in PDF] and signature function is [see formula in PDF] defined as [see formula in PDF]In this paper, we characterize the balance of [see formula in PDF] and some graphs derived from it such as [see formula in PDF], [see formula in PDF] and [see formula in PDF]. Moreover, we investigate the clusterability and sign-compativility of [see formula in PDF].
{"title":"Some Properties of a Class of Addition Cayley Signed Graph","authors":"Yuqing Yuan, Weizhong Wang","doi":"10.1051/wujns/2022274296","DOIUrl":"https://doi.org/10.1051/wujns/2022274296","url":null,"abstract":"Let [see formula in PDF] be a simple graph having vertex set [see formula in PDF]and edge set [see formula in PDF], where all [see formula in PDF] are distinct prime factors and [see formula in PDF] is the set of all units of the ring [see formula in PDF]be a signed graph whose underlying graph is [see formula in PDF] and signature function is [see formula in PDF] defined as [see formula in PDF]In this paper, we characterize the balance of [see formula in PDF] and some graphs derived from it such as [see formula in PDF], [see formula in PDF] and [see formula in PDF]. Moreover, we investigate the clusterability and sign-compativility of [see formula in PDF].","PeriodicalId":23976,"journal":{"name":"Wuhan University Journal of Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42319229","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}
Pub Date : 2022-08-01DOI: 10.1051/wujns/2022274287
Liu Yang, Chun-fang Shen, Hui Zhou
In this paper, the existence result of at least triple positive solutions to a boundary value problem of a fractional differential equations is achieved by means of the Avery-Peterson fixed point theorem and the careful analysis of the associate Green's function in which the derivative of unknown function is involved in the nonlinear term explicitly. An example illustrating our main result is given. Our results complement the previous work in the area of the positive solutions of fractional differential equations.
{"title":"Existence of Triple Positive Solutions to a Four-Point Boundary Value Problem of a Fractional Differential Equations","authors":"Liu Yang, Chun-fang Shen, Hui Zhou","doi":"10.1051/wujns/2022274287","DOIUrl":"https://doi.org/10.1051/wujns/2022274287","url":null,"abstract":"In this paper, the existence result of at least triple positive solutions to a boundary value problem of a fractional differential equations is achieved by means of the Avery-Peterson fixed point theorem and the careful analysis of the associate Green's function in which the derivative of unknown function is involved in the nonlinear term explicitly. An example illustrating our main result is given. Our results complement the previous work in the area of the positive solutions of fractional differential equations.","PeriodicalId":23976,"journal":{"name":"Wuhan University Journal of Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45645221","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}
Pub Date : 2022-08-01DOI: 10.1051/wujns/2022274349
Jiachuan Lei, Yi-jun Tu, Jie Xu, Jianqing Yu
Atractylodes lancea (Thunb.) DC. (AL) has been proven to be effective in the treatment of coronavirus disease 2019 (COVID-19). In this study, TCMSP, TCMID, OMIM, GeneCards, PharmMapper and SwissTargetPrediction were used to collect potential targets for AL against COVID-19. The online STRING analysis platform and Cytoscape were used for generating a (protein-protein interaction) PPI network. The Cytoscape and Autodock software were used for determining hub genes and key compounds. Gene Ontology (GO) and Kyoto Encyclopedia of Genes and Genomes (KEGG) pathway enrichment analysis were performed via DAVID database. A total of 84 common targets were obtained. The antiviral pathways were main pathways in traetment. 10 hub genes and key compounds were screened by CytoHubba. We found that AL2, AL6 and AL38 had lower binding energy with key proteins. Our study demonstrated that AL might be used to treat COVID-19 by improving the "cytokine storm", regulating some antiviral pathways, and inhibiting the key protein through which the SARS-CoV-2 invades the host cell. These findings give a pharmacological basis and support for treating COVID-19 with AL.
{"title":"Mechanisms of the Traditional Chinese Herb Atractylodes lancea against COVID-19 Based on Network Pharmacology and Molecular Docking","authors":"Jiachuan Lei, Yi-jun Tu, Jie Xu, Jianqing Yu","doi":"10.1051/wujns/2022274349","DOIUrl":"https://doi.org/10.1051/wujns/2022274349","url":null,"abstract":"\u0000Atractylodes lancea (Thunb.) DC. (AL) has been proven to be effective in the treatment of coronavirus disease 2019 (COVID-19). In this study, TCMSP, TCMID, OMIM, GeneCards, PharmMapper and SwissTargetPrediction were used to collect potential targets for AL against COVID-19. The online STRING analysis platform and Cytoscape were used for generating a (protein-protein interaction) PPI network. The Cytoscape and Autodock software were used for determining hub genes and key compounds. Gene Ontology (GO) and Kyoto Encyclopedia of Genes and Genomes (KEGG) pathway enrichment analysis were performed via DAVID database. A total of 84 common targets were obtained. The antiviral pathways were main pathways in traetment. 10 hub genes and key compounds were screened by CytoHubba. We found that AL2, AL6 and AL38 had lower binding energy with key proteins. Our study demonstrated that AL might be used to treat COVID-19 by improving the \"cytokine storm\", regulating some antiviral pathways, and inhibiting the key protein through which the SARS-CoV-2 invades the host cell. These findings give a pharmacological basis and support for treating COVID-19 with AL.","PeriodicalId":23976,"journal":{"name":"Wuhan University Journal of Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41675082","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}
Pub Date : 2022-08-01DOI: 10.1051/wujns/2022274331
Yunyan Liao, Qing Huang, Changjing Wang, Z. Zuo, J. Lu
The development of artificial intelligence in education promotes the reform of teaching methods in the direction of intelligence and individuation. In this paper, the programming course is taken as an example to propose a curriculum intelligent brain model for open source swarm intelligence based on knowledge graph, and the bootstrapping framework is introduced to try to make the intelligent brain track the frontier like human beings and study several courses vertically. It studies the knowledge of subgraphs fusion of open-source software resources and domain semantics as well as the mining method of potential relationship, so that the intelligent brain can digest knowledge like human, and get through the course horizontally. Finally, knowledge discovery and natural representation based on knowledge graph enable intelligent brain to discover knowledge and solve problems just like human. This study provides new ideas, strategies, and application paths for the construction of knowledge graph based on big data and the integration of heterogeneous knowledge graph.
{"title":"Course Intelligent Brain Model Based on Crowd Intelligence","authors":"Yunyan Liao, Qing Huang, Changjing Wang, Z. Zuo, J. Lu","doi":"10.1051/wujns/2022274331","DOIUrl":"https://doi.org/10.1051/wujns/2022274331","url":null,"abstract":"The development of artificial intelligence in education promotes the reform of teaching methods in the direction of intelligence and individuation. In this paper, the programming course is taken as an example to propose a curriculum intelligent brain model for open source swarm intelligence based on knowledge graph, and the bootstrapping framework is introduced to try to make the intelligent brain track the frontier like human beings and study several courses vertically. It studies the knowledge of subgraphs fusion of open-source software resources and domain semantics as well as the mining method of potential relationship, so that the intelligent brain can digest knowledge like human, and get through the course horizontally. Finally, knowledge discovery and natural representation based on knowledge graph enable intelligent brain to discover knowledge and solve problems just like human. This study provides new ideas, strategies, and application paths for the construction of knowledge graph based on big data and the integration of heterogeneous knowledge graph.","PeriodicalId":23976,"journal":{"name":"Wuhan University Journal of Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42232853","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}
Pub Date : 2022-06-01DOI: 10.1051/wujns/2022273231
S. Miao, Xiaojuan Zhang, Zhe Liu
The Energy Internet has generated huge amounts of information on the production devices, transmission devices, and energy consumption devices. The leakage of data in the collection, transmission, and storage process will cause serious security problems. The existing Energy Internet security methods rely on traditional access control mechanisms and specific network boundary defense mechanisms, which has the limitations of static strategies and coarse design. We combine the advantages of role-based access control (RBAC) and attribute-based access control (ABAC), and propose a trusted Energy Internet fine-grained access control model based on devices' attribute and users' roles. We have not only achieved fine-grained Energy Internet resource allocation, but also ensured that the access control process is related to the security status of the environment in real time. Experimental results show that the access control model can safely and accurately execute access decisions in the Energy Internet scenario, and the processing performance is more stable.
{"title":"Fine-Grained Access Control Mechanism of Energy Internet","authors":"S. Miao, Xiaojuan Zhang, Zhe Liu","doi":"10.1051/wujns/2022273231","DOIUrl":"https://doi.org/10.1051/wujns/2022273231","url":null,"abstract":"The Energy Internet has generated huge amounts of information on the production devices, transmission devices, and energy consumption devices. The leakage of data in the collection, transmission, and storage process will cause serious security problems. The existing Energy Internet security methods rely on traditional access control mechanisms and specific network boundary defense mechanisms, which has the limitations of static strategies and coarse design. We combine the advantages of role-based access control (RBAC) and attribute-based access control (ABAC), and propose a trusted Energy Internet fine-grained access control model based on devices' attribute and users' roles. We have not only achieved fine-grained Energy Internet resource allocation, but also ensured that the access control process is related to the security status of the environment in real time. Experimental results show that the access control model can safely and accurately execute access decisions in the Energy Internet scenario, and the processing performance is more stable.","PeriodicalId":23976,"journal":{"name":"Wuhan University Journal of Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48177013","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}
Pub Date : 2022-06-01DOI: 10.1051/wujns/2022273195
Jingjing Li, Z. Huang
In this paper, we mainly investigate entire solutions of the following two non-linear differential-difference equations [see formula in PDF] and [see formula in PDF][see formula in PDF], where [see formula in PDF] is an integer, [see formula in PDF] are non-zero constants, [see formula in PDF] is a non-vanishing polynomial and [see formula in PDF] is a non-constant polynomial. Under some additional hypotheses, we analyze the existence and expressions of transcendental entire solutions of the above equations.
{"title":"On Entire Solutions of Two Certain Types of Non-Linear Differential-Difference Equations","authors":"Jingjing Li, Z. Huang","doi":"10.1051/wujns/2022273195","DOIUrl":"https://doi.org/10.1051/wujns/2022273195","url":null,"abstract":"In this paper, we mainly investigate entire solutions of the following two non-linear differential-difference equations [see formula in PDF] and [see formula in PDF][see formula in PDF], where [see formula in PDF] is an integer, [see formula in PDF] are non-zero constants, [see formula in PDF] is a non-vanishing polynomial and [see formula in PDF] is a non-constant polynomial. Under some additional hypotheses, we analyze the existence and expressions of transcendental entire solutions of the above equations.","PeriodicalId":23976,"journal":{"name":"Wuhan University Journal of Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47440935","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}
Pub Date : 2022-06-01DOI: 10.1051/wujns/2022273240
Zhaoming Lv, Rong Peng
Ontology alignment is an essential and complex task to integrate heterogeneous ontology. The meta-heuristic algorithm has proven to be an effective method for ontology alignment. However, it only applies the inherent advantages of meta-heuristics algorithm and rarely considers the execution efficiency, especially the multi-objective ontology alignment model. The performance of such multi-objective optimization models mostly depends on the well-distributed and the fast-converged set of solutions in real-world applications. In this paper, two multi-objective grasshopper optimization algorithms (MOGOA) are proposed to enhance ontology alignment. One is ε-dominance concept based GOA (EMO-GOA) and the other is fast Non-dominated Sorting based GOA (NS-MOGOA). The performance of the two methods to align the ontology is evaluated by using the benchmark dataset. The results demonstrate that the proposed EMO-GOA and NS-MOGOA improve the quality of ontology alignment and reduce the running time compared with other well-known metaheuristic and the state-of-the-art ontology alignment methods.
{"title":"Improving the Efficiency of Multi-Objective Grasshopper Optimization Algorithm to Enhance Ontology Alignment","authors":"Zhaoming Lv, Rong Peng","doi":"10.1051/wujns/2022273240","DOIUrl":"https://doi.org/10.1051/wujns/2022273240","url":null,"abstract":"Ontology alignment is an essential and complex task to integrate heterogeneous ontology. The meta-heuristic algorithm has proven to be an effective method for ontology alignment. However, it only applies the inherent advantages of meta-heuristics algorithm and rarely considers the execution efficiency, especially the multi-objective ontology alignment model. The performance of such multi-objective optimization models mostly depends on the well-distributed and the fast-converged set of solutions in real-world applications. In this paper, two multi-objective grasshopper optimization algorithms (MOGOA) are proposed to enhance ontology alignment. One is ε-dominance concept based GOA (EMO-GOA) and the other is fast Non-dominated Sorting based GOA (NS-MOGOA). The performance of the two methods to align the ontology is evaluated by using the benchmark dataset. The results demonstrate that the proposed EMO-GOA and NS-MOGOA improve the quality of ontology alignment and reduce the running time compared with other well-known metaheuristic and the state-of-the-art ontology alignment methods.","PeriodicalId":23976,"journal":{"name":"Wuhan University Journal of Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46738202","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}
Pub Date : 2022-06-01DOI: 10.1051/wujns/2022273211
Jinyue Chen, Yi Zhang
The Lie theorem for Birkhoffian systems with time-scale nonshifted variational problems are studied, including free Birkhoffian system, generalized Birkhoffian system and constrained Birkhoffian system. First, the time-scale nonshifted generalized Pfaff-Birkhoff principle is established, and the dynamical equations for three Birkhoffian systems under nonshifted variational problems are deduced. Afterwards, in the time-scale nonshifted variational problems, by introducing the infinitesimal transformations, Lie symmetry for free Birkhoffian system, generalized Birkhoffian system and constrained Birkhoffian system are defined respectively. Then Lie symmetry theorems for three kinds of Birkhoffian systems are deduced and proved. In the end, three examples are given to explain the applications for the results.
{"title":"Lie Symmetry Theorem for Nonshifted Birkhoffian Systems on Time Scales","authors":"Jinyue Chen, Yi Zhang","doi":"10.1051/wujns/2022273211","DOIUrl":"https://doi.org/10.1051/wujns/2022273211","url":null,"abstract":"The Lie theorem for Birkhoffian systems with time-scale nonshifted variational problems are studied, including free Birkhoffian system, generalized Birkhoffian system and constrained Birkhoffian system. First, the time-scale nonshifted generalized Pfaff-Birkhoff principle is established, and the dynamical equations for three Birkhoffian systems under nonshifted variational problems are deduced. Afterwards, in the time-scale nonshifted variational problems, by introducing the infinitesimal transformations, Lie symmetry for free Birkhoffian system, generalized Birkhoffian system and constrained Birkhoffian system are defined respectively. Then Lie symmetry theorems for three kinds of Birkhoffian systems are deduced and proved. In the end, three examples are given to explain the applications for the results.","PeriodicalId":23976,"journal":{"name":"Wuhan University Journal of Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46433351","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}
Pub Date : 2022-06-01DOI: 10.1051/wujns/2022273201
Chuanjing Song, Jiahang Wang
Singular system has great relationship with gauge field theory, condensed matter theory and some other research areas. Based on the mixed integer and Riemann-Liouville fractional derivatives, the fractional singular system is studied. Firstly, the fractional constrained Hamilton equation and the fractional inherent constraint are presented. Secondly, Lie symmetry and conserved quantity are analyzed, including determined equation, limited equation, additional limited equation and structural equation. And finally, an example is given to illustrate the methods and results.
{"title":"Conserved Quantity for Fractional Constrained Hamiltonian System","authors":"Chuanjing Song, Jiahang Wang","doi":"10.1051/wujns/2022273201","DOIUrl":"https://doi.org/10.1051/wujns/2022273201","url":null,"abstract":"Singular system has great relationship with gauge field theory, condensed matter theory and some other research areas. Based on the mixed integer and Riemann-Liouville fractional derivatives, the fractional singular system is studied. Firstly, the fractional constrained Hamilton equation and the fractional inherent constraint are presented. Secondly, Lie symmetry and conserved quantity are analyzed, including determined equation, limited equation, additional limited equation and structural equation. And finally, an example is given to illustrate the methods and results.","PeriodicalId":23976,"journal":{"name":"Wuhan University Journal of Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44819075","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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