{"title":"Solving a Nonlinear Volterra Integral Equation in L2 As A Generalized Problem of Moments","authors":"M. B. Pintarelli","doi":"10.15864/jmscm.4307","DOIUrl":"https://doi.org/10.15864/jmscm.4307","url":null,"abstract":"It will be shown that find an approximate solution y(x) in L2|0,∞) nonlinear Volterra equation integral can be solved applying the techniques of inverse generalized moments problem in two steps writing the Volterra's equation as a Klein-Gordon equation of the\u0000 form Wxx Wtt-H(x,t), which H(x,t) it is unknown and w(x,t) = y(x)h(t) where h(t)=(t(T-t))2;0≤;t≤T. In a first step, H(x,t) is numerically approximate, and in a second step we numerically approximate the solution y(x) using the H(x,t) previously approximated.\u0000 The method is illustrated with examples.","PeriodicalId":287831,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129311518","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}
{"title":"ON THE MULTIVARIATE ANALYSIS OF STUDENTS’ ACADEMIC PERFORMANCE IN WASSCE IN PUBLIC SENIOR SECONDARY SCHOOLS IN RIVERS STATE (2018-2020)","authors":"Lekia Nkpordee, Magnus Ogolo Ibinabo","doi":"10.15864//jmscm.3403","DOIUrl":"https://doi.org/10.15864//jmscm.3403","url":null,"abstract":"The paper examined students' performance in six subjects from WAEC examination from 2018 to 2020 using multivariate analysis through Hotelling T2 distribution and paired t-test statistics. Four objectives where formulated and used for this study. Based on the factors in the\u0000 objectives, relevant related literatures were reviewed. A secondary data extracted from the WAEC results from the public senior secondary schools under study were used for this study and the analyses of the data were done using Hotelling T2 distribution, Quadratic form, and paired\u0000 t-test statistics. All computations were done via Microsoft Excel 2010, SPSS (version 23.0) and MINITAB (version 16.0). The Hotelling T2 statistics results between the students' academic performance for (2018 & 2019), (2019 & 2020) and (2018 & 2020) were all significant.\u0000 Paired t-test statistics results showed a decrease in the Students' average performance for four subjects (Mathematics, English Language, Marketing and Biology), while an increase in the Students' average performance for Economics and Civic Education subjects. It was discovered that students'\u0000 average performances in Economics and Civic Education subjects were better than other subjects. This research recommend the effective implementation of the Nigeria education policies that emphasizes on teachers qualification, years of teaching experience and the UNESCO policy on Teacher-Students\u0000 ratio (this policy stipulates that the maximum number of students that should be in a secondary class is 25), since there is significant difference between students' average performance for four subjects.","PeriodicalId":287831,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133996586","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}
{"title":"Modeling of Some Economic Growth Determinants In Ecowas Countries: A Panel Data Approach","authors":"Ayansola Olufemi Aderemi, Lawal Damilola Israel","doi":"10.15864/jmscm.3312","DOIUrl":"https://doi.org/10.15864/jmscm.3312","url":null,"abstract":"The study considers an empirical analysis of panel data with autocorrelation and little (insignificant) heteroscedasticity. The findings revealed that Feasible Generalized Least Square is more appropriate than other estimation methods in the data; viz-a-vis; Pooled Ordinary Least Square\u0000 and Between estimators. In addition, it was discovered that capital and trade-openness have an insignificant influence on the economic growth of the fifteen (15) Economic Community of West African States (ECOWAS).","PeriodicalId":287831,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121871268","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}
{"title":"Adaptive Batch Size Selection in Active Learning for Regression","authors":"A. Faulds","doi":"10.20944/preprints202201.0441.v1","DOIUrl":"https://doi.org/10.20944/preprints202201.0441.v1","url":null,"abstract":"Training supervised machine learning models requires labeled examples. A judicious choice of examples is helpful when there is a significant cost associated with assigning labels. This article improves upon a promising extant method – Batch-mode Expected Model Change Maximization (B-EMCM) method – for selecting examples to be labeled for regression problems. Specifically, it develops and evaluates alternate strategies for adaptively selecting batch size in B-EMCM. By determining the cumulative error that occurs from the estimation of the stochastic gradient descent, a stop criteria for each iteration of the batch can be specified to ensure that selected candidates are the most beneficial to model learning. This new methodology is compared to B-EMCM via mean absolute error and root mean square error over ten iterations benchmarked against machine learning data sets. Using multiple data sets and metrics across all methods, one variation of AB-EMCM, the max bound of the accumulated error (AB-EMCM Max), showed the best results for an adaptive batch approach. It achieved better root mean squared error (RMSE) and mean absolute error (MAE) than the other adaptive and non-adaptive batch methods while reaching the result in nearly the same number of iterations as the non-adaptive batch methods.","PeriodicalId":287831,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125929401","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}
{"title":"ANALYTICAL STUDIES OF THE APPLICATION ASPECTS OF FUZZY INTUITIONISTIC AND FUZZY TYPE 2 SET","authors":"","doi":"10.15864/jmscm.4209","DOIUrl":"https://doi.org/10.15864/jmscm.4209","url":null,"abstract":"","PeriodicalId":287831,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"70 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":"116998826","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}
{"title":"AN INVESTIGATION INTO THE EFFECTS OF SOME\u0000DEMOGRAPHIC PARAMETERS ON ECONOMIC AND POPULATION GROWTHS IN NIGERIA","authors":"","doi":"10.15864/jmscm.3310","DOIUrl":"https://doi.org/10.15864/jmscm.3310","url":null,"abstract":"","PeriodicalId":287831,"journal":{"name":"Journal of Mathematical Sciences & Computational Mathematics","volume":"3 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":"116139919","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}