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Annales Mathematicae et Informaticae最新文献

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A short remark on Horadam identities with binomial coefficients 关于二项式系数的Horadam恒等式的简短注释
IF 0.3
Annales Mathematicae et Informaticae Pub Date : 2021-01-01 DOI: 10.33039/AMI.2021.03.016
R. Frontczak
{"title":"A short remark on Horadam identities with binomial coefficients","authors":"R. Frontczak","doi":"10.33039/AMI.2021.03.016","DOIUrl":"https://doi.org/10.33039/AMI.2021.03.016","url":null,"abstract":"In this note, we introduce a very simple approach to obtain Horadam identities with binomial coefficients including an additional parameter. Many known Fibonacci identities (as well as polynomial identities) will follow im-mediately as special cases.","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79365407","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: 2
Teaching numeral systems based on history in high school 高中基于历史的数字系统教学
IF 0.3
Annales Mathematicae et Informaticae Pub Date : 2021-01-01 DOI: 10.33039/ami.2021.08.003
Zoltán Matos, E. Kónya
{"title":"Teaching numeral systems based on history in high school","authors":"Zoltán Matos, E. Kónya","doi":"10.33039/ami.2021.08.003","DOIUrl":"https://doi.org/10.33039/ami.2021.08.003","url":null,"abstract":"In the first decade after the turn of the millennium, previous doubts about the inclusion of the history of mathematics in education also received more attention. Several researchers point to the difficulties of teachers enthusiastic on the topic, to the research methodological difficulties of such studies, and the need to increase the number of empirical researches. In addition to increasing the amount of such empirical evidence, this paper seeks to contribute to the continuously developing answers to the basic questions (what and how?) of integrating the history of mathematics into public education in the recent decades by presenting a given topic, the teaching of numeral systems based on history, and the results of the related surveys. In the course of our research, we examined the question of whether the use of the history of mathematics as a tool, as opposed to teaching by focusing solely on routine tasks, helps to fix the curriculum into the long-term memory.","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73375576","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
On some methods of calculating the integrals of trigonometric rational functions 论三角有理函数积分的几种计算方法
IF 0.3
Annales Mathematicae et Informaticae Pub Date : 2021-01-01 DOI: 10.33039/ami.2021.10.003
M. Różański, Barbara Smolen-Duda, R. Witula, Marcin Jochlik, Adrian Smuda
{"title":"On some methods of calculating the integrals of trigonometric rational functions","authors":"M. Różański, Barbara Smolen-Duda, R. Witula, Marcin Jochlik, Adrian Smuda","doi":"10.33039/ami.2021.10.003","DOIUrl":"https://doi.org/10.33039/ami.2021.10.003","url":null,"abstract":"The paper presents original methods of calculating integrals of selected trigonometric rational functions.","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88328203","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
Vieta–Fibonacci-like polynomials and some identities 类维塔-斐波那契多项式和一些恒等式
IF 0.3
Annales Mathematicae et Informaticae Pub Date : 2021-01-01 DOI: 10.33039/ami.2021.09.002
Wanna Sriprad, Somnuk Srisawat, Peesiri Naklor
{"title":"Vieta–Fibonacci-like polynomials and some identities","authors":"Wanna Sriprad, Somnuk Srisawat, Peesiri Naklor","doi":"10.33039/ami.2021.09.002","DOIUrl":"https://doi.org/10.33039/ami.2021.09.002","url":null,"abstract":"In this paper, we introduce a new type of the Vieta polynomial, which is Vieta–Fibonacci-like polynomial. After that, we establish the Binet formula, the generating function, the well-known identities, and the sum formula of this polynomial. Finally, we present the relationship between this polynomial and the previous well-known Vieta polynomials.","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82410979","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: 3
On structure of the family of regularly distributed sets with respect to the union 关于并集的正则分布集合族的结构
IF 0.3
Annales Mathematicae et Informaticae Pub Date : 2021-01-01 DOI: 10.33039/ami.2021.10.001
Szilárd Svitek, Miklós Vontszemű
{"title":"On structure of the family of regularly distributed sets with respect to the union","authors":"Szilárd Svitek, Miklós Vontszemű","doi":"10.33039/ami.2021.10.001","DOIUrl":"https://doi.org/10.33039/ami.2021.10.001","url":null,"abstract":"Let 0 ≤ 𝑞 ≤ 1 and N denotes the set of all positive integers. In this paper we will be interested in the family 𝒰 ( 𝑥 𝑞 ) of all regularly distributed set 𝑋 ⊂ N whose ratio block sequence is asymptotically distributed with distribution function 𝑔 ( 𝑥 ) = 𝑥 𝑞 ; 𝑥 ∈ (0 , 1] , and we will study the structure of this family with respect to the union.","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86539940","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
Ellipse chains inscribed inside a parabola and integer sequences 椭圆链内嵌抛物线和整数序列
IF 0.3
Annales Mathematicae et Informaticae Pub Date : 2020-09-27 DOI: 10.33039/AMI.2020.09.001
G. Lucca
{"title":"Ellipse chains inscribed inside a parabola and integer sequences","authors":"G. Lucca","doi":"10.33039/AMI.2020.09.001","DOIUrl":"https://doi.org/10.33039/AMI.2020.09.001","url":null,"abstract":"The paper presents formulas and conditions relevant to the construction of chains of mutually tangent ellipses inscribed inside a parabola. Moreover, some connections with certain integer sequences and Pythagorean triplets are shown.","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2020-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79223283","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
Markov triples with k-generalized Fibonacci components 具有k-广义Fibonacci分量的马尔可夫三元组
IF 0.3
Annales Mathematicae et Informaticae Pub Date : 2020-06-05 DOI: 10.33039/ami.2020.06.001
C. A. Gómez, Jhonny C. Gómez, F. Luca
{"title":"Markov triples with k-generalized Fibonacci components","authors":"C. A. Gómez, Jhonny C. Gómez, F. Luca","doi":"10.33039/ami.2020.06.001","DOIUrl":"https://doi.org/10.33039/ami.2020.06.001","url":null,"abstract":"We find all triples (x, y, z) of k-Fibonacci numbers which satisfy the Markov equation x + y + z = 3xyz. This paper continues and extends previous work by Luca and Srinivasan [6].","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2020-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85140423","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: 1
A survey on the global optimization problem using Kruskal–Wallis test 基于Kruskal-Wallis检验的全局优化问题综述
IF 0.3
Annales Mathematicae et Informaticae Pub Date : 2020-06-03 DOI: 10.33039/ami.2020.05.004
V. Ďuriš, A. Tirpáková
{"title":"A survey on the global optimization problem using Kruskal–Wallis test","authors":"V. Ďuriš, A. Tirpáková","doi":"10.33039/ami.2020.05.004","DOIUrl":"https://doi.org/10.33039/ami.2020.05.004","url":null,"abstract":"The article deals with experimental comparison and verification of stochastic algorithms for global optimization while searching the global optimum in dimensions 3 and 4 of selected testing functions in Matlab computing environment. To draw a comparison, we took the algorithms Controlled Random Search, Differential Evolution that we created for this test and implemented in Matlab, and fminsearch function which is directly built in Matlab. The basic quantities to compare algorithms were time complexity while searching the considered area and reliability of finding the global optimum of the 1st De Jong function, Rosenbrock’s saddle, Ackley’s function and Griewangk’s function. The time complexity of the algorithms was determined by the number of test function evaluations during the global optimum search and we analysed the results of the experiment using the “Kruskal–Wallis test” non-parametric","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2020-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79854129","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: 3
Efficiently parallelised algorithm to find isoptic surface of polyhedral meshes 多面体网格等视面的高效并行化算法
IF 0.3
Annales Mathematicae et Informaticae Pub Date : 2020-05-01 DOI: 10.33039/ami.2020.05.002
F. Nagy
{"title":"Efficiently parallelised algorithm to find isoptic surface of polyhedral meshes","authors":"F. Nagy","doi":"10.33039/ami.2020.05.002","DOIUrl":"https://doi.org/10.33039/ami.2020.05.002","url":null,"abstract":"The isoptic surface of a three-dimensional shape is defined in [1] as the generalization of isoptics of curves. The authors of the paper also presented an algorithm to determine isoptic surfaces of convex meshes. In [9] new searching algorithms are provided to find points of the isoptic surface of a triangulated model in E 3 . The new algorithms work for concave shapes as well.In this paper, we present a faster, simpler, and efficiently parallelised version of the algorithm of [9] that can be used to search for the points of the isoptic surface of a given closed polyhedral mesh, taking advantage of the computing capabilities of the high-performance graphics cards and using the benefits of nested parallelism. For the simultaneous computations, the NVIDIA’s Compute Unified Device Architecture (CUDA) was used. Our experiments show speedups up to 100 times using the new parallel algorithm.","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87642221","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
Analysing the vegetation of energy plantsby processing UAV images 利用无人机图像对能源植物植被进行分析
IF 0.3
Annales Mathematicae et Informaticae Pub Date : 2020-01-09 DOI: 10.33039/ami.2020.01.001
Pap Melinda, Király Sándor, Molják Sándor
{"title":"Analysing the vegetation of energy plantsby processing UAV images","authors":"Pap Melinda, Király Sándor, Molják Sándor","doi":"10.33039/ami.2020.01.001","DOIUrl":"https://doi.org/10.33039/ami.2020.01.001","url":null,"abstract":"Bioenergy plants are widely used as a form of renewable energy. It is important to monitor the vegetation and accurately estimate the yield before harvest in order to maximize the profit and reduce the costs of production. The automatic tracking of plant development by traditional methods is quite difficult and labor intensive. Nowadays, the application of Unmanned Aerial Vehicles (UAV) became more and more popular in precision agriculture. Detailed, precise, three-dimensional (3D) representations of energy forestry are required as a prior condition for an accurate assessment of crop growth. Using a small UAV equipped with a multispectral camera, we collected imagery of 1051 pictures of a study area in Kompolt, Hungary, then the Pix4D software was used to create a 3D model of the forest canopy. Remotely sensed data was processed with the aid of Pix4Dmapper to create the orthophotos and the digital surface model. The calculated Normalized Difference Vegetation Index (NDVI) values were also calculated. The aim of this case study was to do the first step towards yield estimation, and segment the created orthophoto, based on tree species. This is required, since different type of trees have different characteristics, thus, their yield calculations may differ. How-ever, the trees in the study area are versatile, there are also hybrids of the same species present. This paper presents the results of several segmentation algorithms, such as those that the widely used eCognition provides and other Matlab implementations of segmentation algorithms.","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2020-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81914726","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: 1
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