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The logical paradoxes 逻辑悖论
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2020.91249
H. Manev
{"title":"The logical paradoxes","authors":"H. Manev","doi":"10.12988/imf.2020.91249","DOIUrl":"https://doi.org/10.12988/imf.2020.91249","url":null,"abstract":"Basic notions which refer to the so called logical paradoxes are analyzed. For illustrating of their systematizing according to the kind of breaking of the requirements for comprised, consistent and reasonable enough system of the notions, some well-known such paradoxes are considered. The received results elucidate on the foundations of cognition. Mathematics Subject Classification: Foundations of logics and of the sets","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125447748","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}
引用次数: 1
Solutions of a countable set of non-elementary integrals by means of simple algebra 用简单代数方法求非初等积分的可数集
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2022.912305
Stefan Leitner, M. Bertotti
{"title":"Solutions of a countable set of non-elementary integrals by means of simple algebra","authors":"Stefan Leitner, M. Bertotti","doi":"10.12988/imf.2022.912305","DOIUrl":"https://doi.org/10.12988/imf.2022.912305","url":null,"abstract":"Many integrals can be solved in an elementary way. However, the overwhelming majority of functions cannot be integrated via one of the elementary integration techniques. Moreover, their antiderivative is not expressible in terms of elementary functions. In this note an alternative approach for the solution of a countable set of non-elementary integrals is provided. This approach involves the use of algebraic manipulation and an integral form of the Zeta function. Mathematics Subject Classification: 26A42, 11M06","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"144 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122060210","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}
引用次数: 0
On the Fremlin projective tensor product of Banach d-algebras and almost f-algebras Banach d-代数与几乎f-代数的Fremlin射影张量积
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2023.912391
Omer Gok
{"title":"On the Fremlin projective tensor product of Banach d-algebras and almost f-algebras","authors":"Omer Gok","doi":"10.12988/imf.2023.912391","DOIUrl":"https://doi.org/10.12988/imf.2023.912391","url":null,"abstract":"In this study, we present the Fremlin projective tensor product of Banach d -algebras and Banach almost f -algebras. We prove that the Fremlin projective tensor product of two Banach d -algebras A and B is a Banach d -algebra containing Riesz tensor product A (cid:78) B of A, B as a d -algebra. Also, we show that the Fremlin projective tensor product of Banach almost f -algebras A and B is a Banach almost f -algebra containing Riesz tensor product A (cid:78) B of A and B as an almost f - algebra.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125043794","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}
引用次数: 0
A note on orthogonalization against multicollinearity in linear regression, with a consideration of spacetime as the common parameter domain 考虑时空为公共参数域的线性回归中反多重共线性的正交化问题
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2023.912385
G. Light
{"title":"A note on orthogonalization against multicollinearity in linear regression, with a consideration of spacetime as the common parameter domain","authors":"G. Light","doi":"10.12988/imf.2023.912385","DOIUrl":"https://doi.org/10.12988/imf.2023.912385","url":null,"abstract":"In estimating/testing a functional relationship in Economics, one collects data - - both the dependent variable and the explanatory variables, which is not the same as an experiment in Physics with all the independent variables in full control by the analyst. This brings about the problem of multicollinearity in multiple linear regression to all fields that do not enjoy true degrees of freedom in the causal variables of a regression model. This note presents a simple example, where a pair of variables, u and v, seeks to explain y, but u(t, s) and v(t, s) share one common parameter domain, t and s, so that it becomes evident that the regression model y = a + bu + cy + e is simply invalid. We thus recommend constructing regression models based on independent variables true to their definition of independence, such as time and space, by using a spatiotemporal sample.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123120270","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}
引用次数: 0
Group theory in pairwise comparison matrices PCM 成对比较矩阵PCM中的群论
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2023.912380
C. Özel, Ali Ahamad Mryr
{"title":"Group theory in pairwise comparison matrices PCM","authors":"C. Özel, Ali Ahamad Mryr","doi":"10.12988/imf.2023.912380","DOIUrl":"https://doi.org/10.12988/imf.2023.912380","url":null,"abstract":"This study examines why elements of pairwise comparisons matrix should create a group.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122896494","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}
引用次数: 0
Pseudo-lines of curvature of Weyl space Weyl空间的伪曲率线
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2019.9420
N. Kofoğlu
{"title":"Pseudo-lines of curvature of Weyl space","authors":"N. Kofoğlu","doi":"10.12988/imf.2019.9420","DOIUrl":"https://doi.org/10.12988/imf.2019.9420","url":null,"abstract":"","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"38 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117024506","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}
引用次数: 0
On fuzzy ωα - closed set in fuzzy topological spaces 模糊拓扑空间中的模糊ω -闭集
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2019.9726
I. Paymalan, Luzviminda A. Ranara
{"title":"On fuzzy ωα - closed set in fuzzy topological spaces","authors":"I. Paymalan, Luzviminda A. Ranara","doi":"10.12988/imf.2019.9726","DOIUrl":"https://doi.org/10.12988/imf.2019.9726","url":null,"abstract":"This paper introduced new classes of fuzzy sets in fuzzy topological spaces, namely, the class of fuzzy ωα -closed set and fuzzy ωα -open set by fuzzification of the ωα -closed set and fuzzy ωα -open set in Topology. Fuzzy ωα -open sets were used to define fuzzy pre g *-closed set. Lastly, some properties of the said fuzzy sets and its relationship to some existing class of fuzzy closed sets were proved.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127285447","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}
引用次数: 0
An elementary proof of a principal ideal domain which is not an Euclidean domain 一个不是欧几里得定义域的主理想定义域的初等证明
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/IMF.2019.9312
Mohssin Zarouali-Darkaoui
{"title":"An elementary proof of a principal ideal domain which is not an Euclidean domain","authors":"Mohssin Zarouali-Darkaoui","doi":"10.12988/IMF.2019.9312","DOIUrl":"https://doi.org/10.12988/IMF.2019.9312","url":null,"abstract":"In this note we provide an elementary proof of the fact that the ring Z[(1 + i √ 19)/2] is a principal ideal domain which is not an Euclidean domain. Mathematics Subject Classification: 13F07, 13F10","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122253522","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}
引用次数: 0
New explanation of two paradoxes 对两个悖论的新解释
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2021.912297
H. Manev
{"title":"New explanation of two paradoxes","authors":"H. Manev","doi":"10.12988/imf.2021.912297","DOIUrl":"https://doi.org/10.12988/imf.2021.912297","url":null,"abstract":"The notion of a standard defined set is introduced on the basis of which the reasons for the emergence of Russell's paradox are explained. The current description of Hilbert's paradox has been compared with two new descriptions made on substantially different other grounds. Mathematics Subject Classifications: 03Bxx; 03B99","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128441196","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}
引用次数: 0
Inertial extragradient-viscosity algorithms for nonmonotone and non-Lipschitzian equilibrium problems in Hilbert spaces Hilbert空间中非单调和非lipschitzian平衡问题的惯性梯度-黏性算法
International Mathematical Forum Pub Date : 1900-01-01 DOI: 10.12988/imf.2023.912354
Liang Yan, Zhaoli Ma, Xin Chang
{"title":"Inertial extragradient-viscosity algorithms for nonmonotone and non-Lipschitzian equilibrium problems in Hilbert spaces","authors":"Liang Yan, Zhaoli Ma, Xin Chang","doi":"10.12988/imf.2023.912354","DOIUrl":"https://doi.org/10.12988/imf.2023.912354","url":null,"abstract":"In this paper, combining line-search technique with viscosity method, inertial algorithm and subgradient algorithm, we propose a new iterative algorithm that does not involve in projection operators to solve the nonmonotone and non-Lipschitzian equilibrium problem in Hilbert space and obtain the strong convergence theorem. In addition, we also use our main result to the variational inequality and the convex minimization problem, and obtain the corresponding strong convergence theorems.","PeriodicalId":107214,"journal":{"name":"International Mathematical Forum","volume":"143 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130004620","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}
引用次数: 0
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