Pub Date : 2024-04-22DOI: 10.37394/232020.2024.4.3
Hanan Omar Zomam
{"title":"Total Graphic Topology on the Vertex Sets of Directed Graphs","authors":"Hanan Omar Zomam","doi":"10.37394/232020.2024.4.3","DOIUrl":"https://doi.org/10.37394/232020.2024.4.3","url":null,"abstract":"","PeriodicalId":509773,"journal":{"name":"PROOF","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140674294","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 : 2024-04-03DOI: 10.37394/232020.2024.4.2
Serdar Saldiroğlu, S. Pamuk
This paper extends the work presented at IX. International Istanbul Scientific Research Congress held on May, 14-15, 2022, Istanbul/Türkiye. In that Congress the Authors narrowly focused on the numerical solutions of a boundary value problem for the Covid-19 SIR model appearing in literature. In this study this boundary value problem is solved numerically for all cases and also the stability analysis of the equilibrium points of the model is presented. The basic reproduction number R_0 is obtained and the importance of this number for the stability and the instability of the equilibrium points is emphasized. Numerical solutions are obtained using bvp4c, a boundary value problem solver in MATLAB and the results are presented in figures.
{"title":"Mathematical Analysis and Numerical Solution of a Boundary Value Problem for the Covid-19 SIR Model","authors":"Serdar Saldiroğlu, S. Pamuk","doi":"10.37394/232020.2024.4.2","DOIUrl":"https://doi.org/10.37394/232020.2024.4.2","url":null,"abstract":"This paper extends the work presented at IX. International Istanbul Scientific Research Congress held on May, 14-15, 2022, Istanbul/Türkiye. In that Congress the Authors narrowly focused on the numerical solutions of a boundary value problem for the Covid-19 SIR model appearing in literature. In this study this boundary value problem is solved numerically for all cases and also the stability analysis of the equilibrium points of the model is presented. The basic reproduction number R_0 is obtained and the importance of this number for the stability and the instability of the equilibrium points is emphasized. Numerical solutions are obtained using bvp4c, a boundary value problem solver in MATLAB and the results are presented in figures.","PeriodicalId":509773,"journal":{"name":"PROOF","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140748026","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 : 2024-03-21DOI: 10.37394/232020.2024.4.1
Toukeer Khan, Sheeba Rizvi, O. Bahadır
n this manuscript, we introduce and explore quasi hemi-slant submanifolds, extending the concepts of slant submanifolds, semi-slant submanifolds, and hemi-slant submanifolds within Lorentzian concircular structures- manifolds (LCS)n -manifolds. We establish necessary and sufficient conditions for the integrability of distributions relevant to defining quasi hemi-slant submanifolds within Lorentzian concircular structuresmanifolds or (LCS)n- manifolds. Additionally, we investigate the conditions under which quasi hemi-slant submanifolds of Lorentzian concircular structures can be totally geodesic and analyze the geometric properties of foliations determined by the associated distribution.
{"title":"Quasi hemi Slant Submanifolds of Lorentzian Concircular Structures","authors":"Toukeer Khan, Sheeba Rizvi, O. Bahadır","doi":"10.37394/232020.2024.4.1","DOIUrl":"https://doi.org/10.37394/232020.2024.4.1","url":null,"abstract":"n this manuscript, we introduce and explore quasi hemi-slant submanifolds, extending the concepts of slant submanifolds, semi-slant submanifolds, and hemi-slant submanifolds within Lorentzian concircular structures- manifolds (LCS)n -manifolds. We establish necessary and sufficient conditions for the integrability of distributions relevant to defining quasi hemi-slant submanifolds within Lorentzian concircular structuresmanifolds or (LCS)n- manifolds. Additionally, we investigate the conditions under which quasi hemi-slant submanifolds of Lorentzian concircular structures can be totally geodesic and analyze the geometric properties of foliations determined by the associated distribution.","PeriodicalId":509773,"journal":{"name":"PROOF","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140221163","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 : 2023-12-19DOI: 10.37394/232020.2023.3.10
Karim Farhat, Idriss Ellahiani, B. Bouikhalene, Omar Ajebbar
In this work, we establish the stability properties of the functional equation f(xy)=f(x)f(y)+g(x)g(y)+f(x)g(y), x,y in G on semigroup by using the invariant properties of a linear space T.
在这项工作中，我们利用线性空间 T 的不变性质，建立了半群上 G 中 x,y 的函数方程 f(xy)=f(x)f(y)+g(x)g(y)+f(x)g(y) 的稳定性。
{"title":"The Stability of the Functional Equation f(xy)=f(x)f(y)+g(x)g(y)+f(x)g(y) on Semigrou","authors":"Karim Farhat, Idriss Ellahiani, B. Bouikhalene, Omar Ajebbar","doi":"10.37394/232020.2023.3.10","DOIUrl":"https://doi.org/10.37394/232020.2023.3.10","url":null,"abstract":"In this work, we establish the stability properties of the functional equation f(xy)=f(x)f(y)+g(x)g(y)+f(x)g(y), x,y in G on semigroup by using the invariant properties of a linear space T.","PeriodicalId":509773,"journal":{"name":"PROOF","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139171711","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 : 2023-11-29DOI: 10.37394/232020.2023.3.9
A. A. Beilinson
Based on Majorana equations the e.-m. field as initially quantum object having isomorphic representation as quantum field of «deinterlaced» photon is considered. The calculation of Casimir force magnitude interpreted as consequence of an energy measurement of the generalized quantum field of a «deinterlaced» photon in the state corresponding to a «Feynman path» element is given. A metallic mirrors here plays role of classic apparatus measuring energy of this field.
{"title":"The Generalized Quantum Mechanics of Einstein «Deinterlaced» Photon and Casimir Force","authors":"A. A. Beilinson","doi":"10.37394/232020.2023.3.9","DOIUrl":"https://doi.org/10.37394/232020.2023.3.9","url":null,"abstract":"Based on Majorana equations the e.-m. field as initially quantum object having isomorphic representation as quantum field of «deinterlaced» photon is considered. The calculation of Casimir force magnitude interpreted as consequence of an energy measurement of the generalized quantum field of a «deinterlaced» photon in the state corresponding to a «Feynman path» element is given. A metallic mirrors here plays role of classic apparatus measuring energy of this field.","PeriodicalId":509773,"journal":{"name":"PROOF","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139209410","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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