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Revista Professor de Matemática On line最新文献

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A geometria analítica do máximo da razão entre duas formas quadráticas 两个二次形式之间的最大比值的解析几何
Revista Professor de Matemática On line Pub Date : 1900-01-01 DOI: 10.21711/2319023x2023/pmo1119
Lucas Chaves, M. D. C. Costa, Carlos José dos Reis
{"title":"A geometria analítica do máximo da razão entre duas formas quadráticas","authors":"Lucas Chaves, M. D. C. Costa, Carlos José dos Reis","doi":"10.21711/2319023x2023/pmo1119","DOIUrl":"https://doi.org/10.21711/2319023x2023/pmo1119","url":null,"abstract":"","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"21 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":"125340148","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
Uma fórmula para o número de permutações circulares com repetição via ações de grupos 通过组动作重复的圆形排列数的公式
Revista Professor de Matemática On line Pub Date : 1900-01-01 DOI: 10.21711/2319023x2022/pmo1029
Guilherme Silva, João Gondim
{"title":"Uma fórmula para o número de permutações circulares com repetição via ações de grupos","authors":"Guilherme Silva, João Gondim","doi":"10.21711/2319023x2022/pmo1029","DOIUrl":"https://doi.org/10.21711/2319023x2022/pmo1029","url":null,"abstract":"In the Combinatorics studied in high school and in the early stages of college, a lot of emphasis is given to permutations. Linear permutations with either distinct or repeated elements are treated, as well as circular permutations with distinct elements, but nothing is mentioned regarding circular permutations with repeated elements. The goal of this work is to provide a reference in Portuguese for a formula that can be used in this problem, accompanied by its demonstration, which relies on the Theory of Group Actions and Burnside’s Theorem. These topics are also briefly treated in this paper for completeness purposes.","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"46 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":"125898449","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
Desestigmatizando a notação e os diagramas matemáticos 消除符号和数学图表的污名
Revista Professor de Matemática On line Pub Date : 1900-01-01 DOI: 10.21711/2319023x2023/pmo1115
Humberto Bortolossi, L. Crissaff, Wanderley Rezende
{"title":"Desestigmatizando a notação e os diagramas matemáticos","authors":"Humberto Bortolossi, L. Crissaff, Wanderley Rezende","doi":"10.21711/2319023x2023/pmo1115","DOIUrl":"https://doi.org/10.21711/2319023x2023/pmo1115","url":null,"abstract":"","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"14 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":"114279313","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 conjectura de Galileu e o movimento em queda livre 伽利略猜想和自由落体运动
Revista Professor de Matemática On line Pub Date : 1900-01-01 DOI: 10.21711/2319023x2023/pmo1122
Jaime Ripoll
{"title":"A conjectura de Galileu e o movimento em queda livre","authors":"Jaime Ripoll","doi":"10.21711/2319023x2023/pmo1122","DOIUrl":"https://doi.org/10.21711/2319023x2023/pmo1122","url":null,"abstract":"We explain the work of Galileu about the free fall motion. We prove that","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"1 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":"129019751","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
Falando sobre o infinito no ensino médio 在高中谈论无限
Revista Professor de Matemática On line Pub Date : 1900-01-01 DOI: 10.21711/2319023x2023/pmo1102
I. Dantas, Fagner Santana
{"title":"Falando sobre o infinito no ensino médio","authors":"I. Dantas, Fagner Santana","doi":"10.21711/2319023x2023/pmo1102","DOIUrl":"https://doi.org/10.21711/2319023x2023/pmo1102","url":null,"abstract":"","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"1 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":"129523528","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
Matemática Financeira: uma proposta de abordagem para o Ensino Médio por meio do tesouro direto 金融数学:通过直接财政向高中提出的方法
Revista Professor de Matemática On line Pub Date : 1900-01-01 DOI: 10.21711/2319023x2020/pmo846
L. E. Gomes
{"title":"Matemática Financeira: uma proposta de abordagem para o Ensino Médio por meio do tesouro direto","authors":"L. E. Gomes","doi":"10.21711/2319023x2020/pmo846","DOIUrl":"https://doi.org/10.21711/2319023x2020/pmo846","url":null,"abstract":"In this article we propose an approach to teaching Financial Mathematics for High School, by presenting activities that relate problems involving investment simulations in the direct treasury, see <https://www.tesourodireto.com.br/simulador/>, and some mathematical concepts applied to this investment. This approach aims to bring such concepts closer to the students’ daily lives and, in addition, meets the competencies and skills of the area of Mathematics and its technologies that are inserted in the Common National Curricular Base, when it established that “in High School the focus is on the construction of an integrated view of Mathematics, applied to reality, in different contexts”, see [9, p.528]. We conclude this article by presenting the activities, and their respective resolutions, using the direct treasure.","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"23 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":"123266903","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
Generalização da integral de Fresnel 菲涅耳积分的推广
Revista Professor de Matemática On line Pub Date : 1900-01-01 DOI: 10.21711/2319023x2022/pmo102
J. Carvalho, P. Lino
{"title":"Generalização da integral de Fresnel","authors":"J. Carvalho, P. Lino","doi":"10.21711/2319023x2022/pmo102","DOIUrl":"https://doi.org/10.21711/2319023x2022/pmo102","url":null,"abstract":"In the literature, there are several classes and techniques for computing improper integrals, such as residue theory, change of order of integration, Laplace transforms, etc. In this article, we will present an analytical expression for the generalization of one of the Fresnel integrals, for this, we will use Laplace transforms, change of order of integration and identities involving beta and gamma functions. We believe that the development of alternative techniques to Analytically calculating improper integrals is of paramount importance for the understanding of theory and for the improvement of current techniques.","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"63 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":"127728593","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
Inteiros algébricos e a questão da comensurabilidade entre o lado e as diagonais de um polígono regular 代数整数与正多边形的边与对角线的可通约性问题
Revista Professor de Matemática On line Pub Date : 1900-01-01 DOI: 10.21711/2319023x2019/pmo79
R. Pinto, D. Alves
{"title":"Inteiros algébricos e a questão da comensurabilidade entre o lado e as diagonais de um polígono regular","authors":"R. Pinto, D. Alves","doi":"10.21711/2319023x2019/pmo79","DOIUrl":"https://doi.org/10.21711/2319023x2019/pmo79","url":null,"abstract":"In this article, we present a study on the commensurability between the diagonals and the side of regular polygons. Beginning by providing a formula for the ratio between the lengths of the shortest k-th diagonal and the side of a regular n-sided polygon, we will reduce the study of the question of the incommensurability between the k-th shortest diagonal and the side of a regular polygon of n sides to the decision of the rationality or irrationality of this reason. For this, we will use the algebraic integers.","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"1 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":"126810185","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
Uma adaptação da definição de corpo para o Ensino Fundamental: resolução de equações por meio dos elementos neutro e oposto 对小学身体定义的适应:用中性和对映元素求解方程
Revista Professor de Matemática On line Pub Date : 1900-01-01 DOI: 10.21711/2319023x2022/pmo104
Ivana Cocco, Luciane Tonet
{"title":"Uma adaptação da definição de corpo para o Ensino Fundamental: resolução de equações por meio dos elementos neutro e oposto","authors":"Ivana Cocco, Luciane Tonet","doi":"10.21711/2319023x2022/pmo104","DOIUrl":"https://doi.org/10.21711/2319023x2022/pmo104","url":null,"abstract":"","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"15 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":"115953942","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
Sombras de triângulos ao sol: uma demonstração algébrica elementar do Teorema de Lhuillier em geometria espacial 太阳下三角形的阴影:空间几何中Lhuillier定理的基本代数证明
Revista Professor de Matemática On line Pub Date : 1900-01-01 DOI: 10.21711/2319023x2020/pmo1014
Victor El Adji, Humberto Bortolossi
{"title":"Sombras de triângulos ao sol: uma demonstração algébrica elementar do Teorema de Lhuillier em geometria espacial","authors":"Victor El Adji, Humberto Bortolossi","doi":"10.21711/2319023x2020/pmo1014","DOIUrl":"https://doi.org/10.21711/2319023x2020/pmo1014","url":null,"abstract":"Cut out any triangle ABC from a sheet of paper. Assuming a sunny day when the sun’s rays are parallel and perpendicular to a flat surface, what kind of shadows will this triangle produce on this surface depending on how it is holded in the space? If the triangle ABC is not parallel to the sun’s rays, its shadow will be a triangle. In this case, what types of triangular shadows could be produced? It would be possible, for example, to hold the triangle ABC (supposed any) so that its shadow is an equilateral triangle ? The answer is affirmative, as the following theorem attests. we will present a ittle bit lenghty but elementary(that is, acessible to high school students) algebraic demonstration, of our knowledge, unpublished.","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"80 8 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":"129871454","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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