Pub Date : 2020-04-03DOI: 10.37394/23206.2020.19.12
Raja Mohammad Latif
The purpose of the present paper is to introduce the new class of ω b - topological vector spaces. We study several basic and fundamental properties of ω b - topological and investigate their relationships with certain existing spaces. Along with other results, we prove that transformation of an open (resp. closed) set in aω b - topological vector space is ω b - open (resp. closed). In addition, some important and useful characterizations of ω b - topological vector spaces are established. We also introduce the notion of almost ω b - topological vector spaces and present several general properties of almost ω b - topological vector spaces.
本文的目的是引入一类新的ω b -拓扑向量空间。研究了ω b -拓扑的几个基本性质，并研究了它们与某些存在空间的关系。与其他结果一起，我们证明了一个开放矩阵的变换。在aω b -拓扑向量空间中的闭集合是ω b -开(相对于。关闭)。此外，还建立了ω b -拓扑向量空间的一些重要而有用的表征。我们还引入了几乎ω b -拓扑向量空间的概念，并给出了几乎ω b -拓扑向量空间的几个一般性质。
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The Angular functions are new mathematical functions introduced by the author, they produce rectangular signals, in which period is function of angles and not of time as the previous functions. Similar to trigonometric functions, the angular functions have the same properties as the precedent, but the difference is that a rectangular signal is obtained instead of a sinusoidal signal, and moreover, one can change the width of each positive and negative alternate in the same period. This is not the case of any other trigonometric function. In other hand, one can change the frequency, the amplitude and the width of any period of the signal at any position by using the general form of the angular function. In this paper, an original study is introduced. Thus, the definition of the original part is presented. The angular functions are also defined. These functions are very important in technical subjects. They will be widely used in mathematics and in engineering domains, especially in power electronics, signal theory, propagation of signals and many other topics. Moreover, the Angular functions are the basis of the Elliptical trigonometry and the rectangular trigonometry in which they are new domains introduced in mathematics by the author.
{"title":"Introduction to the angular functions in euclidian 2D-space","authors":"C. Bayeh","doi":"10.5555/2189981.2189988","DOIUrl":"https://doi.org/10.5555/2189981.2189988","url":null,"abstract":"The Angular functions are new mathematical functions introduced by the author, they produce rectangular signals, in which period is function of angles and not of time as the previous functions. Similar to trigonometric functions, the angular functions have the same properties as the precedent, but the difference is that a rectangular signal is obtained instead of a sinusoidal signal, and moreover, one can change the width of each positive and negative alternate in the same period. This is not the case of any other trigonometric function. In other hand, one can change the frequency, the amplitude and the width of any period of the signal at any position by using the general form of the angular function. In this paper, an original study is introduced. Thus, the definition of the original part is presented. The angular functions are also defined. These functions are very important in technical subjects. They will be widely used in mathematics and in engineering domains, especially in power electronics, signal theory, propagation of signals and many other topics. Moreover, the Angular functions are the basis of the Elliptical trigonometry and the rectangular trigonometry in which they are new domains introduced in mathematics by the author.","PeriodicalId":112268,"journal":{"name":"WSEAS Transactions on Mathematics archive","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116960511","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}
Linear discriminant analysis (LDA) is a classical approach for dimensionality reduction. However, LDA has limitations in that one of the scatter matrices is required to be nonsingular and the nonli...
{"title":"Weighted generalized kernel discriminant analysis using fuzzy memberships","authors":"Yangjing, FanLiya","doi":"10.5555/2064828.2064830","DOIUrl":"https://doi.org/10.5555/2064828.2064830","url":null,"abstract":"Linear discriminant analysis (LDA) is a classical approach for dimensionality reduction. However, LDA has limitations in that one of the scatter matrices is required to be nonsingular and the nonli...","PeriodicalId":112268,"journal":{"name":"WSEAS Transactions on Mathematics archive","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122616427","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 : 2011-02-01DOI: 10.14317/JAMI.2012.30.1_2.253
E. Zayed
In the present article, we construct the exact traveling wave solutions of nonlinear PDEs in mathematical physics via the (1 + 1) dimensional modified Kawahara equation by using the following two methods: (i) A further improved (G′/G)- expansion method, where G = G(ξ) satisfies the auxiliary ordinary differential equation [G′(ξ)]2 = aG2(ξ) + bG4(ξ) + cG6(ξ), where ξ = x - Vt while a, b, c and V are constants. (ii) The well known extended tanh- function method. We show that the exact solutions obtained by these two methods are equivalent. Note that the first method (i) has not been used by anyone before.
{"title":"A further improved (G′/G)- expansion method and the extended tanh- method for finding exact solutions of nonlinear PDEs","authors":"E. Zayed","doi":"10.14317/JAMI.2012.30.1_2.253","DOIUrl":"https://doi.org/10.14317/JAMI.2012.30.1_2.253","url":null,"abstract":"In the present article, we construct the exact traveling wave solutions of nonlinear PDEs in mathematical physics via the (1 + 1) dimensional modified Kawahara equation by using the following two methods: (i) A further improved (G′/G)- expansion method, where G = G(ξ) satisfies the auxiliary ordinary differential equation [G′(ξ)]2 = aG2(ξ) + bG4(ξ) + cG6(ξ), where ξ = x - Vt while a, b, c and V are constants. (ii) The well known extended tanh- function method. We show that the exact solutions obtained by these two methods are equivalent. Note that the first method (i) has not been used by anyone before.","PeriodicalId":112268,"journal":{"name":"WSEAS Transactions on Mathematics archive","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124325798","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 paper the static model of the Cournot duopoly with tax evasion is analyzed. A study for the local stability of the stationary states is carried out in the case of the dynamic model with tax...
本文分析了存在偷税漏税的古诺双寡头垄断的静态模型。本文研究了带税赋的动态模型的定态局部稳定性。
{"title":"Deterministic and stochastic Cournot duopoly games with tax evasion","authors":"NeamţuMihaela","doi":"10.5555/1865408.1865411","DOIUrl":"https://doi.org/10.5555/1865408.1865411","url":null,"abstract":"In this paper the static model of the Cournot duopoly with tax evasion is analyzed. A study for the local stability of the stationary states is carried out in the case of the dynamic model with tax...","PeriodicalId":112268,"journal":{"name":"WSEAS Transactions on Mathematics archive","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115158742","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 comparative study of the hybrid models, neural networks and nonparametric regression models in time series forecasting. The components of these hybrid models are consisting of the nonparametric regression and artificial neural networks models. Smoothing spline, regression spline and additive regression models are considered as the nonparametric regression components. Furthermore, various multilayer perceptron algorithms and radial basis function network model are regarded as the artificial neural networks components. The performances of these models are compared by forecasting the series of number of produced Cars and Domestic product per capita (GDP) data occurred in Turkey. This comparisons show that hybrid models proposed in this paper have denoted much more excellent performance than the hybrid models in literature.
{"title":"A comparative study of hybrid, neural networks and nonparametric regression models in time series prediction","authors":"D. Aydın, M. Mammadov","doi":"10.5555/1718168.1718171","DOIUrl":"https://doi.org/10.5555/1718168.1718171","url":null,"abstract":"This paper presents a comparative study of the hybrid models, neural networks and nonparametric regression models in time series forecasting. The components of these hybrid models are consisting of the nonparametric regression and artificial neural networks models. Smoothing spline, regression spline and additive regression models are considered as the nonparametric regression components. Furthermore, various multilayer perceptron algorithms and radial basis function network model are regarded as the artificial neural networks components. The performances of these models are compared by forecasting the series of number of produced Cars and Domestic product per capita (GDP) data occurred in Turkey. This comparisons show that hybrid models proposed in this paper have denoted much more excellent performance than the hybrid models in literature.","PeriodicalId":112268,"journal":{"name":"WSEAS Transactions on Mathematics archive","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129543380","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}
The aim of this paper is to study the Neimark-Sacker and flip bifurcations for the discrete-time dynamic system, which describes the Internet congestion, with a single link and two sources. We desc...
{"title":"Neimark-sacker and flip bifurcations in a discrete-time dynamic system for internet congestion","authors":"MirceaGabriela, OprisDumitru","doi":"10.5555/1558823.1558827","DOIUrl":"https://doi.org/10.5555/1558823.1558827","url":null,"abstract":"The aim of this paper is to study the Neimark-Sacker and flip bifurcations for the discrete-time dynamic system, which describes the Internet congestion, with a single link and two sources. We desc...","PeriodicalId":112268,"journal":{"name":"WSEAS Transactions on Mathematics archive","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126959640","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 paper, we study some discrete IS-LM models with tax revenues and time delay. Considering its parameters as variables, we analyze the existence of the Neimark-Sacker bifurcation. We find the...
{"title":"The study of some discrete IS-LM models with tax revenues and time delay","authors":"NeamţuMihaela, MirceaGabriela, OprisDumitru","doi":"10.5555/1558823.1558826","DOIUrl":"https://doi.org/10.5555/1558823.1558826","url":null,"abstract":"In this paper, we study some discrete IS-LM models with tax revenues and time delay. Considering its parameters as variables, we analyze the existence of the Neimark-Sacker bifurcation. We find the...","PeriodicalId":112268,"journal":{"name":"WSEAS Transactions on Mathematics archive","volume":"6 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127406191","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 generalizes the model introduced by Ferrara and Guerrini [13], where two different research lines have been joined together: the one studying the effects of incorporating technological p...
{"title":"More on the Green Solow model with logistic population change","authors":"FerraraMassimiliano, GuerriniLuca","doi":"10.5555/1558823.1558825","DOIUrl":"https://doi.org/10.5555/1558823.1558825","url":null,"abstract":"This paper generalizes the model introduced by Ferrara and Guerrini [13], where two different research lines have been joined together: the one studying the effects of incorporating technological p...","PeriodicalId":112268,"journal":{"name":"WSEAS Transactions on Mathematics archive","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132187866","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 the peak-valley (PV) segmentation algorithm for the purpose of producing a reliable method of fatigue time series segmentation and statistical segment-by-segment analysis of fatigue damage. The time series were segmented using a piecewise linear representation (PLR) based segmentation algorithm and consecutively the peak-valley (PV) segmentation algorithm. Statistical analysis and fatigue damage calculations were made on each segment and scatter plots were produced based on the relationship between segmental damage and its corresponding kurtosis value. Observations were made on the scatter plots produced by the PV segmentation algorithm to determine the reliability of the data scattering for fatigue data clustering prospects.
{"title":"Peak-valley segmentation algorithm for fatigue time series data","authors":"Z. Nopiah, M. I. Khairir, S. Abdullah, C. Nizwan","doi":"10.5555/1553637.1553639","DOIUrl":"https://doi.org/10.5555/1553637.1553639","url":null,"abstract":"This paper presents the peak-valley (PV) segmentation algorithm for the purpose of producing a reliable method of fatigue time series segmentation and statistical segment-by-segment analysis of fatigue damage. The time series were segmented using a piecewise linear representation (PLR) based segmentation algorithm and consecutively the peak-valley (PV) segmentation algorithm. Statistical analysis and fatigue damage calculations were made on each segment and scatter plots were produced based on the relationship between segmental damage and its corresponding kurtosis value. Observations were made on the scatter plots produced by the PV segmentation algorithm to determine the reliability of the data scattering for fatigue data clustering prospects.","PeriodicalId":112268,"journal":{"name":"WSEAS Transactions on Mathematics archive","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122488328","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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