首页期刊导航|WSEAS Transactions on Mathematics
期刊信息/Journal information
WSEAS Transactions on Mathematics
World Scientific and Engineering Academy and Society (WSEAS)
WSEAS Transactions on Mathematics

World Scientific and Engineering Academy and Society (WSEAS)

1109-2769

WSEAS Transactions on Mathematics/Journal WSEAS Transactions on Mathematics
正式出版
收录年代

    Subdivisions of Ring Dupin Cyclides Using Bezier Curves with Mass Points

    LIONEL GARNIERLUCIE DRUOTONJEAN-PAUL BECARLAURENT FUCHS...
    17页
    查看更多>>摘要:The paper deals in the Computer-Aided Design or Computer-Aided Manufacturing domain with the Dupin cyclides as well as the Bezier curves. It shows that the same algorithms can be used either for subdivisions of ring Dupin cyclides or Bezier curves. The Bezier curves are described with mass points here. The Dupin cyclides are considered in the Minkowski-Lorentz space. This makes a Dupin cyclide as the union of two conics on the unit pseudo-hypersphere, called the space of spheres. And the conics are quadratic Bezier curves modelled by mass points. The subdivision of any Dupin cyclide, is equivalent to subdivide two curves of degree 2, independently, whereas in the 3D Euclidean space, the same work implies the subdivision of a rational quadratic Bezier surface and resolutions of systems of three linear equations. The first part of this work is to consider ring Dupin cyclides because the conics are bounded circles which look like ellipses.

    Hybridization Simulated Annealing Algorithm in a Single Machine Scheduling Problem

    HAFED M. MOTAIR
    9页
    查看更多>>摘要:In this paper, we investigate a single machine scheduling problem (SMSP). We try to reach the optimal or near optimal solution which minimize the sum of three objective functions: total completion times, total tardiness and total earliness. Firstly, we solve this problem by Branch and bound algorithm (BAB alg) to find optimal solutions, dominance rules (DR) s are used to improve the performance of BAB alg, the resulting is BABDR, secondly, we solve this problem by simulated annealing algorithm (SA alg) as metaheuristic algorithm (MET alg). It is known that combining MET alg with other algorithms can improve the resulting solutions. In this paper we developed the concept of insertion preselected jobs one by one through all positions of remaining jobs of considered sequence, the proposed MET alg called Insertion Metaheuristic Algorithm (IMA). This procedure improves the performance of SA alg in two directions: in the first one, we use the IMA to generate initial solution for SA alg, in the second one, we use the IMA to improve the solution obtained through the iterations of SA alg. The experiments showed that IMA can improve the performance of SA alg in these two directions.

    The Moment Properties of Order, Reversed Order and Upper Record Statistics for the Power Ailamujia Distribution

    FARRUKH JAMALCHRISTOPHE CHESNEAU
    8页
    查看更多>>摘要:The power Ailamujia distribution has been successfully developed in statistics, both theoretically and practically, performing well in the fitting of various types of data. This paper investigates the moment properties of the associated order, reversed order and upper record statistics, which are indeed unexplored aspects of this distribution. In particular, the exact expressions for the single moments of the order and reversed order statistics are provided. Some recurrence relationships for both single and product moments for the order and upper record statistics are proved. For additional goals, certain joint distributions are also given.

    Statistical Analysis of Cropland Area in Canada using the Autoregressive Hidden Markov Time Series Model

    LANREWAJU O. ADEKOLA
    10页
    查看更多>>摘要:Crop production and other agricultural activities are as old as human existence and becoming increasingly intensive, spatially concentrated and specialized. However, diversification in economic activities and recent development in technology in many developed countries have led to significant increase in land use. Thereby, resulting to huge reduction in the total land area available for agricultural activities especially crop production. This study examines the distribution of cropland area in Canada in relation to three contributing factors using the Autoregressive Hidden Markov time series Model (AR-HMM) due to the limitations of the ordinary Autoregressive model in the accuracy of its parameter estimation. Expectation-Maximization (E-M) algorithm method was used to estimate the model parameters so as to investigate the effects of the factors on cropland distribution using secondary data from Food and Agriculture Organisation (FAO). Jarque-Bera and D'Agostino normality tests were carried out to examine the normality of the series. Augmented Dickey Fuller (ADF) and the KPSS tests established the stationarity of the series. The ideal stationary probability distribution for transition was at AR (3)-HMM with the minimum Bayesian Information Criterion (BIC) of 16270.62. The prior transition states for the HMM are 0.462, 0.260 and 0.278 respectively. In conclusion, this study suggests that deforestation and other land use activities as a result of commercial and technological advancements should be minimized to ensure more available cropland area.

    New Results for Arithmetic-Geometric Mean Inequality and Singular Values of Matrices

    AHMAD ABU RAHMAALIAA BURQANOZEN OZER
    5页
    查看更多>>摘要:Matrix theory is very popular in different kind of sciences such as engineering, architecture, physics, chemistry, computer science, IT, so on as well as mathematics many theoretical results dealing with the structure of the matrices even this topic seems easy to work. That is why many scientists still consider some open problem in matrix theory. In this paper, generalizations of the arithmetic-geometric mean inequality is presented for singular values related to block matrices. Singular values are also given for sums, products and direct sums of the matrices.

    Applications of Borel Distribution for a New Family of Bi-Univalent Functions Defined by Horadam Polynomials

    J. NIRMALAS. R. SWAMYALINA ALB LUPASABBAS KAREEM WANAS...
    7页
    查看更多>>摘要:In this paper, by making use of Borel distribution we introduce a new family G_Σ(δ, γ, λ, τ, r) of normalized analytic and bi-univalent functions in the open unit disk U, which are associated with Horadam polynomials. We establish upper bounds for the initial Taylor-Maclaurin coefficients |a_2| and |a_3| of functions belonging to the analytic and bi-univalent function family which we have introduced here. Furthermore, we establish the Fekete-Szego problem of functions in this new family.

    Reconstruction of Non-linear Path Analysis Accompanied by Measurement Models on Food Security Models in Indonesia Post-Covid19 Pandemic based on Big Data

    SOLIMUNADJI ACHMAD RINALDO FERNANDESNURJANNAHINDAH YANTI...
    13页
    查看更多>>摘要:This study aims to map and model the determinants of food security. Mapping is done by cluster and biplot analysis, while modeling is done by non-linear path analysis. This research is mix-method research that combines quantitative and qualitative research. In the qualitative method, this study applies a qualitative Discourse Network Analysis (DNA) approach. Sources of DNA data come from various information in cyberspace (mass media, journals, articles, etc.) that are in accordance with the research context. In DNA data processing, statements, actors, concepts/issues, sentiments, along with the origin of the organization will be generated. As for the quantitative method, this study uses descriptive statistical analysis, biplot, cluster, and non-linear path analysis (square and cubic). The coefficient of determination for both quadratic and cubic path analysis is 0.88, which means that the influence of the independent variable simultaneously on the Y variable is 0.88, which is very strong. Thus, the model formed is quite good because the predictor variable is able to explain food security by 88% while the rest is explained by other factors outside the model. The originality of this research is the reconstruction of non-linear path analysis which is more flexible (no need for assumptions of normality and homogeneity) and is equipped with a measurement model.

    Comparison of Discriminant Analysis and Adaptive Boosting Classification and Regression Trees on Data with Unbalanced Class

    EVA FADILAH RAMADHANIADJI ACHMAD RINALDO FERNANDESNI WAYAN SURYA WARDHANI
    7页
    查看更多>>摘要:This study aims to determine the best classification results among discriminant analysis, CART, and Adaboost CART on Bank X's Home Ownership Credit (KPR) customers. This study uses secondary data which contains notes on the 5C assessment (Collateral, Character, Capacity, Condition, Capital) and collectibility of current and non-current loans. The sample used in this study was from 2000 debtors. Comparison of classifications based on model accuracy, sensitivity, and overall specificity shows that Adaboost CART is the best method for classifying credit collectibility at Bank X. This is due to the class imbalance in the data. This study compares the classification results between parametric statistics, namely discriminant analysis and nonparametric statistics, namely CART and Adaboost CART. The results of the research can be used as material for consideration and evaluation for banks in determining the policy for providing credit to prospective borrowers from the classification results of KPR Bank X consumers.

    Research on Structural Flexibility and Acceptance Model (SFAM) Reconstruction based on Disruption Innovation in the Social Humanities and Education Sector

    SOLIMUNADJI ACHMAD RINALDO FERNANDESINTAN RAHMAWATILAILIL MUFLIKHAH...
    19页
    查看更多>>摘要:The research objectives are as follows: (1) Developing a flexible structural model of the relationship between variables. (2) Develop a structural model that is robust with the assumptions of normality and homoscedasticity. (3) Obtain estimator properties from the flexible and robust SFAM structural model. (4) Obtaining hypothesis testing of each relationship constructed from a flexible and robust SFAM structural model. This research is integrated with a flexible and robust model approach based on nonparametric smoothing spline (RNSS) regression analysis which can capture the form of relationships that depend on empirical data, and the robustness of the model based on the distribution assumption and the assumption of homoscedasticity error variance. There are at least three transformation methods, namely SRS, MSI, and RASCH, which will be used in the development of the Structural Flexibility and Acceptance Model (SFAM). The results obtained from the research progress report are obtaining the development of a flexible structural model of the form of the relationship between variables, obtaining the development of a robust structural model of the assumptions of normality and homoscedasticity, obtaining the estimator properties of the flexible and robust SFAM structural model, and obtaining hypothesis testing. of each relationship constructed from a flexible and robust SFAM structural model. The originality of the theory in this study is very visible in the discovery of a new model, namely SFAM which can accommodate several things, which are the weaknesses of several existing analysis tools such as reciprocal and recursive models, more than one endogenous variable, flexible and robust models, overcoming inadmissible solutions, reflective indicators, formative, and reflective/formative (on the second-order), metric and non-metric data, and simultaneous processing of the input score data (through transformation to scale).

    Identification of dynamical systems through the structure of autoregression with exogenous variable by decreasing gradient and least squares

    ERIK F MENDEZ GARCESGABRIELA MAFLAJOSEPH GUERRAWILLIAMS VILLALBA...
    7页
    查看更多>>摘要:In this article was made the identification of dynamic systems of first and second order more common in electronics such as low and high pass filters of the first order, pass-band filter and direct current motor through the structure of auto-regression with exogenous variable. The proposed dynamical systems are initially modeled by a continuous-time transfer function using physical laws. Subsequently, a step entry signal was applied and the data for the identification process was recorded in discrete time. The estimation of parameters was performed with the method of decreasing gradient and least squares. It was obtained as a result that the least squares method could not find a model for the first-order high-pass filter, but the decreasing grade method allowed to model all the proposed systems.