Pub Date : 2021-01-28DOI: 10.17265/2159-5291/2021.01.002
RemziAktay
{"title":"Encryption Algorithm with Linear Equations","authors":"RemziAktay","doi":"10.17265/2159-5291/2021.01.002","DOIUrl":"https://doi.org/10.17265/2159-5291/2021.01.002","url":null,"abstract":"","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47881075","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 : 2021-01-28DOI: 10.17265/2159-5291/2021.01.001
Norio Watanabe
{"title":"Dissimilarity Measures for Time Series and Trend Analysis:Application to COVID-19 Cases Series","authors":"Norio Watanabe","doi":"10.17265/2159-5291/2021.01.001","DOIUrl":"https://doi.org/10.17265/2159-5291/2021.01.001","url":null,"abstract":"","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42382625","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 : 2021-01-28DOI: 10.17265/2159-5291/2021.01.004
Yousef M. T. El Gimati
{"title":"Stratified and Un-stratified Sampling in Bagging: Data Mining","authors":"Yousef M. T. El Gimati","doi":"10.17265/2159-5291/2021.01.004","DOIUrl":"https://doi.org/10.17265/2159-5291/2021.01.004","url":null,"abstract":"","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47660497","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 : 2021-01-28DOI: 10.17265/2159-5291/2021.01.003
Xhevdet Thaqi, Afërdita Aljimi
{"title":"The Meaning of Function in the Mathematics Textbooks","authors":"Xhevdet Thaqi, Afërdita Aljimi","doi":"10.17265/2159-5291/2021.01.003","DOIUrl":"https://doi.org/10.17265/2159-5291/2021.01.003","url":null,"abstract":"","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45758986","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 : 2020-02-28DOI: 10.17265/2159-5291/2020.02.003
Caudana Elizabeth de Lourdes
This pedagogical proposal was implemented in the curricular space of mathematics, in the first year of the basic cycle of the pluricurso in IPEM 116 “Manuel Belgrano” Rural Annex Punta del Agua, with Orientation Agro Ambiente, Department Third Arriba, province of Córdoba, República Argentina. It was developed according to the difficulties shown by students in not being able to establish the relationship that exists between natural, fractional, decimal and percentage numbers. Faced with this situation, it is proposed to develop the Cuisenaire Rule as a teaching resource in order to stimulate and develop the logical capacities in students within the framework of thoughtful and operational mathematical thinking by applying it in the resolution of specific learning situations. The construction and application of this resource allowed them to develop the understanding and assimilation of concepts in which they presented difficulties promoted learning and taking of.
这项教学建议是在数学课程空间实施的，在IPEM 116“Manuel Belgrano”Punta del Agua农村附属学校的多能课程基础周期的第一年，与阿根廷共和国科尔多瓦省第三阿里巴省农业环境部的Orientation Agro Ambiente合作。它是根据学生们无法建立自然数、小数、十进制数和百分比数之间的关系所表现出的困难而开发的。面对这种情况，建议开发Cuisenaire规则作为一种教学资源，通过将其应用于特定学习情境的解决，在深思熟虑和可操作的数学思维框架内激发和发展学生的逻辑能力。这种资源的构建和应用使他们能够理解和同化他们所遇到的困难，从而促进学习和接受。
{"title":"The Use of the Cuisenaire Rule in the Classroom","authors":"Caudana Elizabeth de Lourdes","doi":"10.17265/2159-5291/2020.02.003","DOIUrl":"https://doi.org/10.17265/2159-5291/2020.02.003","url":null,"abstract":"This pedagogical proposal was implemented in the curricular space of mathematics, in the first year of the basic cycle of the pluricurso in IPEM 116 “Manuel Belgrano” Rural Annex Punta del Agua, with Orientation Agro Ambiente, Department Third Arriba, province of Córdoba, República Argentina. It was developed according to the difficulties shown by students in not being able to establish the relationship that exists between natural, fractional, decimal and percentage numbers. Faced with this situation, it is proposed to develop the Cuisenaire Rule as a teaching resource in order to stimulate and develop the logical capacities in students within the framework of thoughtful and operational mathematical thinking by applying it in the resolution of specific learning situations. The construction and application of this resource allowed them to develop the understanding and assimilation of concepts in which they presented difficulties promoted learning and taking of.","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41567572","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 : 2020-02-28DOI: 10.17265/2159-5291/2020.02.004
F. Alharbi
The conformable fractional derivative method has been utilized in order to examine the logistic model with constant harvesting. Such method introduces a generalization to the classical analysis of Logistic model, and hence the features of the Logistic model, such as subcritical and supercritical harvesting, have been investigated in a view of fractional calculus. The positive auxiliary parameter, σ, with dimension of time is implemented to maintain the dimensionality of the system. The significant information of such parameter to the population has been discussed. The population expressions, obtained by conformable description, are compared with the expressions of the classical derivative. This comparison shows that the non-integer expressions are in a parallel line with that of the classical one.
{"title":"Analysis of Logistic Model with Constant Harvesting in a View of Non-Integer Derivative","authors":"F. Alharbi","doi":"10.17265/2159-5291/2020.02.004","DOIUrl":"https://doi.org/10.17265/2159-5291/2020.02.004","url":null,"abstract":"The conformable fractional derivative method has been utilized in order to examine the logistic model with constant harvesting. Such method introduces a generalization to the classical analysis of Logistic model, and hence the features of the Logistic model, such as subcritical and supercritical harvesting, have been investigated in a view of fractional calculus. The positive auxiliary parameter, σ, with dimension of time is implemented to maintain the dimensionality of the system. The significant information of such parameter to the population has been discussed. The population expressions, obtained by conformable description, are compared with the expressions of the classical derivative. This comparison shows that the non-integer expressions are in a parallel line with that of the classical one.","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46073993","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 : 2020-02-28DOI: 10.17265/2159-5291/2020.02.005
N. El-Hassan, A. Hall, I. Tulunay
Non-parametric methods are treasured in data analysis, particularly in finance. ST -metric is a new concept, introduced by Tulunay (2017). It offers non-parametric methods and a new geometric view to data analysis. In that paper, ST-metric concept has been applied to performance measures of portfolios. In this current paper, we purpose another ST-metric method for finding factor exposures in the fiv e-style-factors model. Here the style factors are value, size, minimum volatility, quality and momentum. The main idea is to find the factor exposures (weights) of the five-factors-model by minimizing the ST-metric between benchmark returns and the constructed factor model returns. We compare ST-metric method with Tracking Error method (TE-method) which is used for factor analysis of major indexes, decomposed into the style factors (tradable via Exchange Traded Funds (ETFs)) by Ang et al. (2018). We show that ST-metric method gives better estimation of the factor exposures (weights) than tracking error method, in general, and further how ST-metric values vary with respect to fluctuations. This explains the reason behind the e fficiency of the ST-metric method. We support this idea with empirical evidences.
{"title":"ST-metric Estimation of Factor Exposures","authors":"N. El-Hassan, A. Hall, I. Tulunay","doi":"10.17265/2159-5291/2020.02.005","DOIUrl":"https://doi.org/10.17265/2159-5291/2020.02.005","url":null,"abstract":"Non-parametric methods are treasured in data analysis, particularly in finance. ST -metric is a new concept, introduced by Tulunay (2017). It offers non-parametric methods and a new geometric view to data analysis. In that paper, ST-metric concept has been applied to performance measures of portfolios. In this current paper, we purpose another ST-metric method for finding factor exposures in the fiv e-style-factors model. Here the style factors are value, size, minimum volatility, quality and momentum. The main idea is to find the factor exposures (weights) of the five-factors-model by minimizing the ST-metric between benchmark returns and the constructed factor model returns. We compare ST-metric method with Tracking Error method (TE-method) which is used for factor analysis of major indexes, decomposed into the style factors (tradable via Exchange Traded Funds (ETFs)) by Ang et al. (2018). We show that ST-metric method gives better estimation of the factor exposures (weights) than tracking error method, in general, and further how ST-metric values vary with respect to fluctuations. This explains the reason behind the e fficiency of the ST-metric method. We support this idea with empirical evidences.","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46945804","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 : 2020-02-28DOI: 10.17265/2159-5291/2020.02.002
Masatoshi Nakano
: We propose the following conjecture on ( ) n σ the sum-of-divisors function: log( n σ− will increase strictly and converge to 1 when n runs from the colossally abundant numbers to infinity. This conjecture is a sufficient condition for the Riemann hypothesis by Robin’s theorem, and it is confirmed for n from 4 10 up to 103078 10 . Further, we present two additional conjectures that are related to Robin’s theorem.
{"title":"Some Conjectures on the Divisor Function","authors":"Masatoshi Nakano","doi":"10.17265/2159-5291/2020.02.002","DOIUrl":"https://doi.org/10.17265/2159-5291/2020.02.002","url":null,"abstract":": We propose the following conjecture on ( ) n σ the sum-of-divisors function: log( n σ− will increase strictly and converge to 1 when n runs from the colossally abundant numbers to infinity. This conjecture is a sufficient condition for the Riemann hypothesis by Robin’s theorem, and it is confirmed for n from 4 10 up to 103078 10 . Further, we present two additional conjectures that are related to Robin’s theorem.","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49059861","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 : 2020-02-28DOI: 10.17265/2159-5291/2020.02.001
A. Brailov
In the present work, the relevant components of the two basic system of measurement are defined through the analysis of existing systems of measurement for geometrical modeling. The major features of such systems related to the ways of formation of the two-dimensional complex drawing of a geometrical image on the basis of laws of projective connections are revealed. Interrelations of the elements of different systems of measurement with various projections of a geometrical image are defined. The relative location of projections of a geometrical image into the constructed two-dimensional complex drawings for various systems of measurement is discussed. The rationale behind a particular arrangement of views in the projective drawing of a product in the analyzed systems of measurement is explained.
{"title":"The Analysis of Systems of Measurement for the Construction of Geometrical Models of the Product","authors":"A. Brailov","doi":"10.17265/2159-5291/2020.02.001","DOIUrl":"https://doi.org/10.17265/2159-5291/2020.02.001","url":null,"abstract":"In the present work, the relevant components of the two basic system of measurement are defined through the analysis of existing systems of measurement for geometrical modeling. The major features of such systems related to the ways of formation of the two-dimensional complex drawing of a geometrical image on the basis of laws of projective connections are revealed. Interrelations of the elements of different systems of measurement with various projections of a geometrical image are defined. The relative location of projections of a geometrical image into the constructed two-dimensional complex drawings for various systems of measurement is discussed. The rationale behind a particular arrangement of views in the projective drawing of a product in the analyzed systems of measurement is explained.","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47535642","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 : 2019-05-28DOI: 10.17265/2159-5291/2019.05.001
Emmanuel Akweittey, Kwasi Baah Gyamfi, Gabriel Obed Fosu
In this article, we discuss singular Hermitian matrices of rank greater or equal to four for an inverse eigenvalue problem. Specifically, we look into how to generate n by n singular Hermitian matrices of ranks four and five from a prescribed spectrum. Numerical examples are presented in each case to illustrate these scenarios. It was established that given a prescribed spectral datum and it multiplies, then the solubility of the inverse eigenvalue problem for n by n singular Hermitian matrices of rank r exists.
{"title":"Solubility Existence of Inverse Eigenvalue Problem for a Class of Singular Hermitian Matrices","authors":"Emmanuel Akweittey, Kwasi Baah Gyamfi, Gabriel Obed Fosu","doi":"10.17265/2159-5291/2019.05.001","DOIUrl":"https://doi.org/10.17265/2159-5291/2019.05.001","url":null,"abstract":"In this article, we discuss singular Hermitian matrices of rank greater or equal to four for an inverse eigenvalue problem. Specifically, we look into how to generate n by n singular Hermitian matrices of ranks four and five from a prescribed spectrum. Numerical examples are presented in each case to illustrate these scenarios. It was established that given a prescribed spectral datum and it multiplies, then the solubility of the inverse eigenvalue problem for n by n singular Hermitian matrices of rank r exists.","PeriodicalId":61124,"journal":{"name":"数学和系统科学:英文版","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43888388","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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