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WSEAS Transactions on Mathematics最新文献

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Parameter Estimation of Linear and Nonlinear Systems Connected in Parallel 并联线性和非线性系统的参数估计
WSEAS Transactions on Mathematics Pub Date : 2023-05-22 DOI: 10.37394/23206.2023.22.44
H. Oubouaddi, Fatima Ezzahra El Mansouri, A. Brouri
{"title":"Parameter Estimation of Linear and Nonlinear Systems Connected in Parallel","authors":"H. Oubouaddi, Fatima Ezzahra El Mansouri, A. Brouri","doi":"10.37394/23206.2023.22.44","DOIUrl":"https://doi.org/10.37394/23206.2023.22.44","url":null,"abstract":"Presently, the problem of parameter estimation is addressed for a more general nonlinear model. In this respect, the proposed nonlinear system is composed of the parallel connection of linear and nonlinear blocks. The interconnected structure of linear and nonlinear blocks systems leads to a highly nonlinear problem involving several unknown parameters and inaccessible internal signals. In this parameter estimation method, the linear and nonlinear block parameters are estimated in one stage by using simple a sine signal or multi-cosine wave.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44148859","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
Data Interpretation Algorithm for Adaptive Methods of Modeling and Forecasting Time Series 时间序列建模与预测自适应方法的数据解释算法
WSEAS Transactions on Mathematics Pub Date : 2023-05-18 DOI: 10.37394/23206.2023.22.43
N. Boyko
{"title":"Data Interpretation Algorithm for Adaptive Methods of Modeling and Forecasting Time Series","authors":"N. Boyko","doi":"10.37394/23206.2023.22.43","DOIUrl":"https://doi.org/10.37394/23206.2023.22.43","url":null,"abstract":"The paper considers two forms of models: seasonal and non-seasonal analogues of oscillations. The paper analyzes the basic adaptive models: Brown, Holt, and autoregression. The parameters of adaptation and layout are considered by the method of numerical estimation of parameters. The mechanism of reflection of oscillatory (seasonal or cyclic) development of the studied process through a reproduction of the scheme of moving average and the scheme of autoregression is analyzed. The paper determines the optimal value of the smoothing coefficient through adaptive polynomial models of the first and second order. Prediction using the Winters model (exponential smoothing with multiplicative seasonality and linear growth) is proposed. The paper proves that the additive model allows building a model with multiplicative seasonality and exponential tendency. The paper proves statements that allow to choose the right method for better modeling and forecasting of data.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42701310","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
Freezing Sets Invariant-based Characteristics of Digital Images 基于冻结集不变量的数字图像特征
WSEAS Transactions on Mathematics Pub Date : 2023-05-18 DOI: 10.37394/23206.2023.22.42
E. Almuhur, Eman A. AbuHijleh, Ghada Alafifi, Abdulazeez Alkouri, Mona Bin-Asfour
{"title":"Freezing Sets Invariant-based Characteristics of Digital Images","authors":"E. Almuhur, Eman A. AbuHijleh, Ghada Alafifi, Abdulazeez Alkouri, Mona Bin-Asfour","doi":"10.37394/23206.2023.22.42","DOIUrl":"https://doi.org/10.37394/23206.2023.22.42","url":null,"abstract":"Due to the widespread use of digital images of real-world objects as mathematical models, this research examines the freezing sets invariant-base properties of digital images. In contrast to earlier studies that only covered a discrete or limited collection of points, fixed points of digitally continuous functions are approved to deal with a variety of characteristics of digital images.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42277604","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
Determinants and Permanents of Hessenberg Matrices with Perrin’s Bivariate Complex Polynomials and Its Application 具有Perrin二元复多项式的Hessenberg矩阵的行列式和永久性及其应用
WSEAS Transactions on Mathematics Pub Date : 2023-05-17 DOI: 10.37394/23206.2023.22.40
Jirawat Kantalo
{"title":"Determinants and Permanents of Hessenberg Matrices with Perrin’s Bivariate Complex Polynomials and Its Application","authors":"Jirawat Kantalo","doi":"10.37394/23206.2023.22.40","DOIUrl":"https://doi.org/10.37394/23206.2023.22.40","url":null,"abstract":"In this paper, we define some n x n Hessenberg matrices and then we obtain determinants and permanents of their matrices that give the odd and even terms of bivariate complex Perrin polynomials. Moreover, we use our results to apply the application cryptology area. We discuss the Affine-Hill method over complex numbers by improving our matrix as the key matrix and present an experimental example to show that our method can work for cryptography.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43306698","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
Banach Function Space Property of A New Type of Grand Lorentz Spaces 一类新的大Lorentz空间的Banach函数空间性质
WSEAS Transactions on Mathematics Pub Date : 2023-05-17 DOI: 10.37394/23206.2023.22.41
I. Eryilmaz, Gökhan Işik
{"title":"Banach Function Space Property of A New Type of Grand Lorentz Spaces","authors":"I. Eryilmaz, Gökhan Işik","doi":"10.37394/23206.2023.22.41","DOIUrl":"https://doi.org/10.37394/23206.2023.22.41","url":null,"abstract":"","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44205905","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
Solving One Species Lotka–volterra Equation by the New Iterative Method (NIM) 用新迭代法求解一类Lotka-volterra方程
WSEAS Transactions on Mathematics Pub Date : 2023-05-10 DOI: 10.37394/23206.2023.22.38
B. Batiha
{"title":"Solving One Species Lotka–volterra Equation by the New Iterative Method (NIM)","authors":"B. Batiha","doi":"10.37394/23206.2023.22.38","DOIUrl":"https://doi.org/10.37394/23206.2023.22.38","url":null,"abstract":"In this paper, we investigate the use of the new iterative method, referred to as the NIM, for solving the one species LotkaVolterra equation. This equation, which describes the dynamics of populations in ecological systems, has been widely studied in the field of mathematical biology. However, finding an analytical solution to this equation can be challenging. To overcome this, we propose using the NIM as an alternative method for solving the equation. To demonstrate the effectiveness of the NIM, we conduct a comparative study between it and other wellestablished techniques such as the differential transformation method (DTM), the variational iteration method (VIM), and the Adomian decomposition method (ADM). Through numerical simulations, we show that the NIM is able to accurately and efficiently solve the one species LotkaVolterra equation, making it a promising tool for researchers in the field of mathematical biology.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48548960","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
A Classification Study in High-Dimensional Data of Linear Discriminant Analysis and Regularized Discriminant Analysis 线性判别分析和正则判别分析在高维数据中的分类研究
WSEAS Transactions on Mathematics Pub Date : 2023-05-10 DOI: 10.37394/23206.2023.22.37
Autcha Araveeporn, Somsri Banditvilai
{"title":"A Classification Study in High-Dimensional Data of Linear Discriminant Analysis and Regularized Discriminant Analysis","authors":"Autcha Araveeporn, Somsri Banditvilai","doi":"10.37394/23206.2023.22.37","DOIUrl":"https://doi.org/10.37394/23206.2023.22.37","url":null,"abstract":"The objective of this work is to compare linear discriminant analysis (LDA) and regularized discriminant analysis (RDA) for classification in high-dimensional data. This dataset consists of the response variable as a binary or dichotomous variable and the explanatory as a continuous variable. The LDA and RDA methods are well-known in statistical and probabilistic learning classification. The LDA has created the decision boundary as a linear function where the covariance of two classes is equal. Then the RDA is extended from the LDA to resolve the estimated covariance when the number of observations exceeds the explanatory variables, or called high-dimensional data. The explanatory dataset is generated from the normal distribution, contaminated normal distribution, and uniform distribution. The binary of the response variables is computed from the logit function depending on the explanatory variable. The highest average accuracy percentage evaluates to propose the performance of the classification methods in several situations. Through simulation results, the LDA was successful when using large sample sizes, but the RDA performed when using the most sample sizes.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45546682","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 New Approach in Solving Regular and Singular Conformable Fractional Coupled Burger’s Equations 求解正则和奇异可合分数阶耦合伯格方程的新方法
WSEAS Transactions on Mathematics Pub Date : 2023-05-09 DOI: 10.37394/23206.2023.22.36
A. Hamza, Abdelilah K. Sedeeg, Rania Saadeh, Ahmad Mohammad Qazza, Raed Khalil
{"title":"A New Approach in Solving Regular and Singular Conformable Fractional Coupled Burger’s Equations","authors":"A. Hamza, Abdelilah K. Sedeeg, Rania Saadeh, Ahmad Mohammad Qazza, Raed Khalil","doi":"10.37394/23206.2023.22.36","DOIUrl":"https://doi.org/10.37394/23206.2023.22.36","url":null,"abstract":"The conformable double ARA decomposition approach is presented in this current study to solve one-dimensional regular and singular conformable functional Burger's equations. We investigate the conformable double ARA transform's definition, existence requirements, and some basic properties. In this study, we introduce a novel interesting method that combines the double ARA transform with Adomian’s decomposition method, in order to find the precise solutions of some nonlinear fractional problems. Moreover, we use the new approach to solve Burgers' equations for both regular and singular conformable fractional coupled systems. We also provide several instances to demonstrate the usefulness of the current study. Mathematica software has been used to get numerical results.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47128987","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
The Inverse Problem of Determining the Coefficients Elliptic Equation 确定系数椭圆型方程的反问题
WSEAS Transactions on Mathematics Pub Date : 2023-05-09 DOI: 10.37394/23206.2023.22.35
B. Aliyeva
{"title":"The Inverse Problem of Determining the Coefficients Elliptic Equation","authors":"B. Aliyeva","doi":"10.37394/23206.2023.22.35","DOIUrl":"https://doi.org/10.37394/23206.2023.22.35","url":null,"abstract":"The paper considers the inverse problem in determining unknown coefficients in a linear elliptic equation. Theorems of existence, uniqueness and stability of the solution of inverse problems for a linear equation of elliptic type are proved. Using the method of sequential measurements, a regularizing algorithm is constructed to determine several coefficients.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45751883","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 Period-Amplitude Relation by Reduction to Liénard Quadratic Equation 关于周期-振幅关系的lisamadard二次方程化简
WSEAS Transactions on Mathematics Pub Date : 2023-05-08 DOI: 10.37394/23206.2023.22.34
S. Atslega, F. Sadyrbaev
{"title":"On the Period-Amplitude Relation by Reduction to Liénard Quadratic Equation","authors":"S. Atslega, F. Sadyrbaev","doi":"10.37394/23206.2023.22.34","DOIUrl":"https://doi.org/10.37394/23206.2023.22.34","url":null,"abstract":"We apply Sabatini’s transformation for the study of a class of nonlinear oscillators, dependent on quadratic terms. As a result, an initial equation is reduced to Newtonian form, for which in a standard way the period-amplitude relation can be established.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46791939","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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