Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917397
K. Kitahara, Shiki Harada
Let ϕ ( x ) be an n − 1 times continuously differentiable function on an open interval of R . In this note, we study a necessary and sufficient condition of ϕ ( x ) that a system { ϕ ( x − x 1 ) , . . . , ϕ ( x − x n ) } obtained by any distinct n points x 1 , . . . , x n is an extended complete Chebyshev system
{"title":"Chebyshev systems obtained by translations of a single function","authors":"K. Kitahara, Shiki Harada","doi":"10.12988/ams.2023.917397","DOIUrl":"https://doi.org/10.12988/ams.2023.917397","url":null,"abstract":"Let ϕ ( x ) be an n − 1 times continuously differentiable function on an open interval of R . In this note, we study a necessary and sufficient condition of ϕ ( x ) that a system { ϕ ( x − x 1 ) , . . . , ϕ ( x − x n ) } obtained by any distinct n points x 1 , . . . , x n is an extended complete Chebyshev system","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"24 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84525570","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Composed of three member countries, the Economic Community of the Great Lakes Countries has suffered from a prolonged lethargy since the 1990s. Over four decades of existence, the community has had practical difficulties in fulfilling its missions. Long before his fall, many projects were already executed and others in progress. Our study aims to seek the main causes of its fall through responses to the census using a questionnaire with closed and open questions administered to 158 students from the University of Burundi and the Higher Teacher Training School. The results show that 23,46% believe that the fall is due to insecurity in the sub-region, 13.92% point to the ignorance of political leaders, 17,08% give they opinion about a lack of will for regional integration by political leaders and 15.82% consider that the fall was caused by the lack of financial means on the part of member countries.
{"title":"The Burundians' perception of the causes of the fall of CEPGL","authors":"Floribert Manirakiza, Pascal Niyonizigiye, Germain Ngoie Tshibambe","doi":"10.12988/ams.2023.917429","DOIUrl":"https://doi.org/10.12988/ams.2023.917429","url":null,"abstract":"Composed of three member countries, the Economic Community of the Great Lakes Countries has suffered from a prolonged lethargy since the 1990s. Over four decades of existence, the community has had practical difficulties in fulfilling its missions. Long before his fall, many projects were already executed and others in progress. Our study aims to seek the main causes of its fall through responses to the census using a questionnaire with closed and open questions administered to 158 students from the University of Burundi and the Higher Teacher Training School. The results show that 23,46% believe that the fall is due to insecurity in the sub-region, 13.92% point to the ignorance of political leaders, 17,08% give they opinion about a lack of will for regional integration by political leaders and 15.82% consider that the fall was caused by the lack of financial means on the part of member countries.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"1 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78633886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917493
S. Chen, Guoping Chen
In this paper, the existence of infinite solutions to the Dirichlet boundary value problem for variable coefficient fractional differential equations with instantaneous impulses is discussed by using the the symmetric mountain pass lemma of critical point theory, and an example is given to illustrate the effect of the main result
{"title":"Infinitely many solutions for the Dirichlet boundary value problem for variable coefficient fractional differential equations with instantaneous impulses via critical point theory","authors":"S. Chen, Guoping Chen","doi":"10.12988/ams.2023.917493","DOIUrl":"https://doi.org/10.12988/ams.2023.917493","url":null,"abstract":"In this paper, the existence of infinite solutions to the Dirichlet boundary value problem for variable coefficient fractional differential equations with instantaneous impulses is discussed by using the the symmetric mountain pass lemma of critical point theory, and an example is given to illustrate the effect of the main result","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"63 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83645037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917270
Wei-Qi Deng, Jing-Xin Na
In this paper, we mainly study the convergence theorem for common fixed points of an infinte family of nonself asymptotically nonexpansive mappings form a nonempty closed convex subset of a real uniformly convex Banach space to the whole space. By using a specific way of choosing the indexes of the involved mappings, we propose an optimum iterative approach to approximating common fixed points of countable families. Under some suitable conditons, a strong convergence theorem of the mappings is obtained. The result extends the situation of finite families of such mappings.
{"title":"A new iteration method for common fixed points of an infinite family of nonself asymptotically nonexpansive mappings","authors":"Wei-Qi Deng, Jing-Xin Na","doi":"10.12988/ams.2023.917270","DOIUrl":"https://doi.org/10.12988/ams.2023.917270","url":null,"abstract":"In this paper, we mainly study the convergence theorem for common fixed points of an infinte family of nonself asymptotically nonexpansive mappings form a nonempty closed convex subset of a real uniformly convex Banach space to the whole space. By using a specific way of choosing the indexes of the involved mappings, we propose an optimum iterative approach to approximating common fixed points of countable families. Under some suitable conditons, a strong convergence theorem of the mappings is obtained. The result extends the situation of finite families of such mappings.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"1 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88273812","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917346
Monique Dalud-Vincent
{"title":"Articulation point and weak point in a space and in a network in pretopology: the case of the connectivity","authors":"Monique Dalud-Vincent","doi":"10.12988/ams.2023.917346","DOIUrl":"https://doi.org/10.12988/ams.2023.917346","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"17 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88297784","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917325
P. Stiefenhofer, A. Gregoriou
In this paper, we study spatial economic equilibrium of a single good economy distributed over the earth’s equator using a representative agent model with linear demand and supply functions. We show using Borsuk Ulam’s theorem that there exist antipodal economic activities with associated equilibrium prices
{"title":"Existence of spatial economic equilibrium: a proof utilizing the Borsuk-Ulam theorem","authors":"P. Stiefenhofer, A. Gregoriou","doi":"10.12988/ams.2023.917325","DOIUrl":"https://doi.org/10.12988/ams.2023.917325","url":null,"abstract":"In this paper, we study spatial economic equilibrium of a single good economy distributed over the earth’s equator using a representative agent model with linear demand and supply functions. We show using Borsuk Ulam’s theorem that there exist antipodal economic activities with associated equilibrium prices","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"100 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78267357","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917425
Jean Claude Jonya, Oscar Toyi, Alain Aime Ndendi, Ildephonse Sindayigaya
The concept of employability takes on a variety of dimensions and contours in the literature, which certainly implies the development of skills and adaptation to changes in employees' jobs. Despite the large number of works devoted to skills and employability, there is little work to clarify the links between these two concepts in Burundian tea and energy industrial enterprises. The objective of our article is to define the elements of an answer to the following question: how can the management of qualifications ensure the employability of Burundian women in tea and energy companies? In this article, we propose a conceptual and exploratory approach at the level of five tea companies and one company producing and distributing water and electricity. First, we present a state of the art on the concepts of individual qualification and employability, and their relationship, and then we discuss the elements that guarantee women's employability.
{"title":"Qualification and employability of women in Burundian public industrial tea and energy companies","authors":"Jean Claude Jonya, Oscar Toyi, Alain Aime Ndendi, Ildephonse Sindayigaya","doi":"10.12988/ams.2023.917425","DOIUrl":"https://doi.org/10.12988/ams.2023.917425","url":null,"abstract":"The concept of employability takes on a variety of dimensions and contours in the literature, which certainly implies the development of skills and adaptation to changes in employees' jobs. Despite the large number of works devoted to skills and employability, there is little work to clarify the links between these two concepts in Burundian tea and energy industrial enterprises. The objective of our article is to define the elements of an answer to the following question: how can the management of qualifications ensure the employability of Burundian women in tea and energy companies? In this article, we propose a conceptual and exploratory approach at the level of five tea companies and one company producing and distributing water and electricity. First, we present a state of the art on the concepts of individual qualification and employability, and their relationship, and then we discuss the elements that guarantee women's employability.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"1 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83038374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917326
Wenceslas Sinabajije, M. Bento
This article presents a study on the evaluation of the language skills of pupils in 5 fundamental year in Burundi in Mathematics. The behavioural indices of the pupils in oral and written comprehension and expression revealed that their main weaknesses were in oral and written expression. In the absence of oral formulation of their own ideas, some pupils limited themselves to answering in one word or in incomplete sentences while others preferred to remain silent or to express themselves in Kirundi. In listening comprehension, they had no problem. They answered the questions and performed the tasks they had been given orally in French. In reading comprehension, they also managed to appropriate the useful information read.
{"title":"Language skills of 5th grade pupils in Burundi during the learning of mathematics in French: linguistic and gestural indices","authors":"Wenceslas Sinabajije, M. Bento","doi":"10.12988/ams.2023.917326","DOIUrl":"https://doi.org/10.12988/ams.2023.917326","url":null,"abstract":"This article presents a study on the evaluation of the language skills of pupils in 5 fundamental year in Burundi in Mathematics. The behavioural indices of the pupils in oral and written comprehension and expression revealed that their main weaknesses were in oral and written expression. In the absence of oral formulation of their own ideas, some pupils limited themselves to answering in one word or in incomplete sentences while others preferred to remain silent or to express themselves in Kirundi. In listening comprehension, they had no problem. They answered the questions and performed the tasks they had been given orally in French. In reading comprehension, they also managed to appropriate the useful information read.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"46 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85981556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917427
A. A. Arnao, R. Guarneri, R. Lo Bosco, A. Puglisi
In applied sciences, such as economics, engineering, mobility and lo-gistics problems, management, etc., Integer Linear Programming (ILP) deals in a systematic way with the minimization (maximization) problem of a linear function with several variables (some also of a random nature), subject to equality constraints and Integer Linear Programming (ILP) deals in a systematic way with the minimization (maximization) problem of a linear function with several variables (some also of a random nature), subject to equality constraints and linear inequality and to the constraint that one or more variables has integer values. This mathematical approach is essential to address and solve a very large number of real problems, typical of the applied sciences, when there is an indivisibility of the good to be produced or of the resource to be used and thus the consequent need to represent the problem through models of Linear Programming with integer variables. The applications of the method concern many applications of modern society and extend from industrial analysis for the distribution of goods and the sequenc-ing of productive activities, to economic problems aimed at the optimal management of a securities portfolio, to those of planning and optimal planning of public investments, to the problems inherent in biology, high
{"title":"Project management and analysis of investment plans in public works: optimization processes choices to maximize resource allocation results","authors":"A. A. Arnao, R. Guarneri, R. Lo Bosco, A. Puglisi","doi":"10.12988/ams.2023.917427","DOIUrl":"https://doi.org/10.12988/ams.2023.917427","url":null,"abstract":"In applied sciences, such as economics, engineering, mobility and lo-gistics problems, management, etc., Integer Linear Programming (ILP) deals in a systematic way with the minimization (maximization) problem of a linear function with several variables (some also of a random nature), subject to equality constraints and Integer Linear Programming (ILP) deals in a systematic way with the minimization (maximization) problem of a linear function with several variables (some also of a random nature), subject to equality constraints and linear inequality and to the constraint that one or more variables has integer values. This mathematical approach is essential to address and solve a very large number of real problems, typical of the applied sciences, when there is an indivisibility of the good to be produced or of the resource to be used and thus the consequent need to represent the problem through models of Linear Programming with integer variables. The applications of the method concern many applications of modern society and extend from industrial analysis for the distribution of goods and the sequenc-ing of productive activities, to economic problems aimed at the optimal management of a securities portfolio, to those of planning and optimal planning of public investments, to the problems inherent in biology, high","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"30 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81969818","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917399
Joseph Bakhos
Quaterns are a new measure of rotation. Since they are defined in terms of rect-angular coordinates, all of the analogue trigonometric functions become algebraic rather than transcendental. Rotations, angle sums and differences, vector sums, cross and dot products, etc., all become algebraic. Triangles can be solved algebraically. Computer algorithms use truncated infinite sums for the transcendental calculations of these quantities. If rotations were expressed in quaterns, these calculations would be simplified by a few orders of magnitude. This would have the potential to greatly reduce computing time. The archaic Greek letter koppa is used to represent rotations in quaterns, rather than the traditional Greek letter theta. Because calculations utilizing quaterns are algebraic, simple rotation in the first two quadrants can be done ”by hand” using ”pen and paper.” Using the approximate methods outlined towards the end of the paper, triangles may be approximately solved with an error of less than 3% using algebra and a few simple formulas.
{"title":"Solving triangles algebraically","authors":"Joseph Bakhos","doi":"10.12988/ams.2023.917399","DOIUrl":"https://doi.org/10.12988/ams.2023.917399","url":null,"abstract":"Quaterns are a new measure of rotation. Since they are defined in terms of rect-angular coordinates, all of the analogue trigonometric functions become algebraic rather than transcendental. Rotations, angle sums and differences, vector sums, cross and dot products, etc., all become algebraic. Triangles can be solved algebraically. Computer algorithms use truncated infinite sums for the transcendental calculations of these quantities. If rotations were expressed in quaterns, these calculations would be simplified by a few orders of magnitude. This would have the potential to greatly reduce computing time. The archaic Greek letter koppa is used to represent rotations in quaterns, rather than the traditional Greek letter theta. Because calculations utilizing quaterns are algebraic, simple rotation in the first two quadrants can be done ”by hand” using ”pen and paper.” Using the approximate methods outlined towards the end of the paper, triangles may be approximately solved with an error of less than 3% using algebra and a few simple formulas.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"60 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86626209","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：