Pub Date : 2024-03-16DOI: 10.55630/mem.2024.53.135-140
Пламен Гостев
During primary school students are introduced to basic geometry knowledge. As students go through high school, they acquire more and more complex knowledge. In the current article, we present different solutions to one problem, depending on the age and knowledge required to solve the problem. We’ll start with two familiar problems. Then we’ll generalize and we’ll prove a lemma. In the last part we’ll present different problems and their solutions that were born from the first two problems and the lemma.
{"title":"Задача – една, подходи много","authors":"Пламен Гостев","doi":"10.55630/mem.2024.53.135-140","DOIUrl":"https://doi.org/10.55630/mem.2024.53.135-140","url":null,"abstract":"During primary school students are introduced to basic geometry knowledge. As students go through high school, they acquire more and more complex knowledge. \u0000In the current article, we present different solutions to one problem, depending on the age and knowledge required to solve the problem. We’ll start with two familiar problems. Then we’ll generalize and we’ll prove a lemma. In the last part we’ll present different problems and their solutions that were born from the first two problems and the lemma.","PeriodicalId":517751,"journal":{"name":"Mathematics and Education in Mathematics","volume":" 45","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140391223","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 : 2024-03-16DOI: 10.55630/mem.2024.53.092-098
Kalina Sotirova-Valkova
The digital heritage sector is among the nine common European data spaces out- lined in the EU Data Act: Health, Industrial, Agriculture, Finance, Mobility, Green Deal, Energy, Public Administration, and Skills. The data space concept is complex, and being linked with the data ecosystem brings together methodologies and techniques from numerous domains: artificial intelligence (AI), text/data mining, data visualisation, mapping, image analysis, audio analysis, network analysis, and rights management. There is a need for clarifying data terminology in use for the GLAM field and transferable methodology to strengthen its’ ongoing datafication and digital skill set. The paper offers a comprehensive literature review (incl. EU Data (space) policy documents) on data spaces and data ecosystems aimed at (1) formulating the main challenges in data collection, data processing, and data maturity for heritage-related information systems and (2) justification of the necessary mindset and digital skill set change for a mature museum. General conclusions are made as well as rec- ommendations for the Bulgarian GLAM sector.
{"title":"A pilot conceptualisation of the data space ecosystems for cultural heritage","authors":"Kalina Sotirova-Valkova","doi":"10.55630/mem.2024.53.092-098","DOIUrl":"https://doi.org/10.55630/mem.2024.53.092-098","url":null,"abstract":"The digital heritage sector is among the nine common European data spaces out- lined in the EU Data Act: Health, Industrial, Agriculture, Finance, Mobility, Green Deal, Energy, Public Administration, and Skills. The data space concept is complex, and being linked with the data ecosystem brings together methodologies and techniques from numerous domains: artificial intelligence (AI), text/data mining, data visualisation, mapping, image analysis, audio analysis, network analysis, and rights management. There is a need for clarifying data terminology in use for the GLAM field and transferable methodology to strengthen its’ ongoing datafication and digital skill set. The paper offers a comprehensive literature review (incl. EU Data (space) policy documents) on data spaces and data ecosystems aimed at (1) formulating the main challenges in data collection, data processing, and data maturity for heritage-related information systems and (2) justification of the necessary mindset and digital skill set change for a mature museum. General conclusions are made as well as rec- ommendations for the Bulgarian GLAM sector.","PeriodicalId":517751,"journal":{"name":"Mathematics and Education in Mathematics","volume":"63 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140283716","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 : 2024-03-16DOI: 10.55630/mem.2024.53.209-222
Б. С. Димитров
{"title":"Пътят ми житейски в математиката","authors":"Б. С. Димитров","doi":"10.55630/mem.2024.53.209-222","DOIUrl":"https://doi.org/10.55630/mem.2024.53.209-222","url":null,"abstract":"","PeriodicalId":517751,"journal":{"name":"Mathematics and Education in Mathematics","volume":" 20","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140390927","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 : 2024-03-16DOI: 10.55630/mem.2024.53.009-017
A. Rousseva
We survey the known results on the minimal size of a blocking set in the finite affine geometries AG(n, q).
我们考察了有限仿射几何 AG（n，q）中关于阻塞集合最小尺寸的已知结果。
{"title":"On affine blocking sets","authors":"A. Rousseva","doi":"10.55630/mem.2024.53.009-017","DOIUrl":"https://doi.org/10.55630/mem.2024.53.009-017","url":null,"abstract":"We survey the known results on the minimal size of a blocking set in the finite affine geometries AG(n, q).","PeriodicalId":517751,"journal":{"name":"Mathematics and Education in Mathematics","volume":" 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140391086","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 : 2024-03-16DOI: 10.55630/mem.2024.53.117-125
Tsvetelina Stefanova, S. Georgiev
Artificial intelligence could be used as a powerful and innovative tool in mathematics education. It is poised to transform the way of learning and teaching this subject.The main objective of our study is to provide a more complete and thorough understanding of the role and impact of using AI in mathematics education by determining the trends, the AI methods, the technological applications and the opportunities for utilizing AI by teachers and students. The potential benefits and threats caused by the use of AI are also discussed.
{"title":"Possibilities for using AI in mathematics education","authors":"Tsvetelina Stefanova, S. Georgiev","doi":"10.55630/mem.2024.53.117-125","DOIUrl":"https://doi.org/10.55630/mem.2024.53.117-125","url":null,"abstract":"Artificial intelligence could be used as a powerful and innovative tool in mathematics education. It is poised to transform the way of learning and teaching this subject.The main objective of our study is to provide a more complete and thorough understanding of the role and impact of using AI in mathematics education by determining the trends, the AI methods, the technological applications and the opportunities for utilizing AI by teachers and students. The potential benefits and threats caused by the use of AI are also discussed.","PeriodicalId":517751,"journal":{"name":"Mathematics and Education in Mathematics","volume":" 22","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140391189","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 : 2024-03-16DOI: 10.55630/mem.2024.53.018-024
Desislava Ivanova
The goal of this paper is to present the major outcomes of the author scientific research in the area of Big Biomedical Data analytics in support of precision medicine, specifically genomics and oncology. The main parts of the paper reveal the state-of-the art in big data technologies and their significance for the advance of molecular biology and medicine in the context of the computational paradigm for scientific research. Furthermore, it presents approaches for gene finding and early detection of breast cancer and thyroid cancer based on big biomedical data analytics.
{"title":"Big biomedical data analytics in support of precision medicine","authors":"Desislava Ivanova","doi":"10.55630/mem.2024.53.018-024","DOIUrl":"https://doi.org/10.55630/mem.2024.53.018-024","url":null,"abstract":"The goal of this paper is to present the major outcomes of the author scientific research in the area of Big Biomedical Data analytics in support of precision medicine, specifically genomics and oncology. The main parts of the paper reveal the state-of-the art in big data technologies and their significance for the advance of molecular biology and medicine in the context of the computational paradigm for scientific research. Furthermore, it presents approaches for gene finding and early detection of breast cancer and thyroid cancer based on big biomedical data analytics.","PeriodicalId":517751,"journal":{"name":"Mathematics and Education in Mathematics","volume":" 39","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140390960","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 : 2024-03-16DOI: 10.55630/mem.2024.53.057-064
Antoaneta Tsvetanova, Stela Zhelezova
There are different kinds of sorting algorithms. Each algorithm has its own advantages and disadvantages depending on the data they process. We are interested in the performance of sorting algorithms in the case of construction of resolutions of combinatorial designs. Studying their performance for this special class of problems will give us the opportunity to improve, if possible, the speed of our software for solving similar problems. We use C++ and, for part of our investigations, the computer algebra system GAP.
{"title":"Sorting in construction of resolutions of combinatorial designs","authors":"Antoaneta Tsvetanova, Stela Zhelezova","doi":"10.55630/mem.2024.53.057-064","DOIUrl":"https://doi.org/10.55630/mem.2024.53.057-064","url":null,"abstract":"There are different kinds of sorting algorithms. Each algorithm has its own advantages and disadvantages depending on the data they process. We are interested in the performance of sorting algorithms in the case of construction of resolutions of combinatorial designs. Studying their performance for this special class of problems will give us the opportunity to improve, if possible, the speed of our software for solving similar problems. We use C++ and, for part of our investigations, the computer algebra system GAP.","PeriodicalId":517751,"journal":{"name":"Mathematics and Education in Mathematics","volume":" 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140391091","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 : 2024-03-16DOI: 10.55630/mem.2024.53.171-179
Петър Попиванов
През 2024 г. отбелязваме 220-ия юбилей на великия немски математика К. Г. Якоби. В настоящата статия предлагаме кратки биографични бележки и фор- мулираме в 12 точки основните му постижения в областта на математическия анализ, механиката, вариационното смятане и др.
2024 年，我们将庆祝伟大的德国数学家 K. Г. Г.诞辰 220 周年。Г.雅各比诞辰 220 周年。在这篇文章中，我们将简要介绍雅可比的生平，并用 12 点正式阐述他在数学分析、力学、变分法微积分等领域的主要成就。
{"title":"220 години от рождението на Карл Густав Якоб Якоб","authors":"Петър Попиванов","doi":"10.55630/mem.2024.53.171-179","DOIUrl":"https://doi.org/10.55630/mem.2024.53.171-179","url":null,"abstract":"През 2024 г. отбелязваме 220-ия юбилей на великия немски математика К. Г. Якоби. В настоящата статия предлагаме кратки биографични бележки и фор- мулираме в 12 точки основните му постижения в областта на математическия анализ, механиката, вариационното смятане и др.","PeriodicalId":517751,"journal":{"name":"Mathematics and Education in Mathematics","volume":" 37","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140391264","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 : 2024-03-16DOI: 10.55630/mem.2024.53.076-084
Daniel Damyanov, Atanas Hristov, Z. Varbanov
Design patterns (models) are repeatable and reusable constructions and solutions for common situations and problems to improve the quality of software systems. SOLID and GRASP are sets of design principles that are used in object-oriented software development. In this work we consider these solutions and principles and compare their (possibly combined) usage in different cases.
{"title":"Design patterns over SOLID and GRASP principles in real projects","authors":"Daniel Damyanov, Atanas Hristov, Z. Varbanov","doi":"10.55630/mem.2024.53.076-084","DOIUrl":"https://doi.org/10.55630/mem.2024.53.076-084","url":null,"abstract":"Design patterns (models) are repeatable and reusable constructions and solutions for common situations and problems to improve the quality of software systems. SOLID and GRASP are sets of design principles that are used in object-oriented software development. In this work we consider these solutions and principles and compare their (possibly combined) usage in different cases.","PeriodicalId":517751,"journal":{"name":"Mathematics and Education in Mathematics","volume":" 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140391089","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}
The article presents a sentiment analysis of the process of rebranding international companies in Russia following their withdrawal from the local market after 24.02.2022. The comparative analysis of social media content related to two pairs of companies (McDonald’s / Vkusno I Tochka; Zara / Maag) showed different patterns of users’ sentiments about the change. This is a pioneering attempt to explore to what extent social media analysis methods and tools can shed light on rebranding processes. This research demonstrates the potential for conducting such types of studies, but also to highlight the still existing imperfections in terms of sentence-level opinion assessment, especially in non-English texts.
文章对国际公司在 2022 年 2 月 24 日退出俄罗斯市场后的品牌重塑过程进行了情感分析。通过对与两对公司（麦当劳/Vkusno I Tochka；Zara/Maag）相关的社交媒体内容进行比较分析，发现了用户对这一变化的不同情感模式。这是探索社交媒体分析方法和工具在多大程度上能够揭示品牌重塑过程的一次开创性尝试。这项研究证明了开展此类研究的潜力，同时也强调了在句子层面的意见评估方面仍然存在的不完善之处，尤其是在非英语文本中。
{"title":"Sentiment analysis and change: a case study of evaluating user perceptions during international companies’ rebranding","authors":"Anastasiia Medvedenko, Ekaterina Gruzova, Svetlana Gaivoronskaya, Snezhana Besolova, Milena Dobreva, Krassimira Ivanova","doi":"10.55630/mem.2024.53.085-091","DOIUrl":"https://doi.org/10.55630/mem.2024.53.085-091","url":null,"abstract":"The article presents a sentiment analysis of the process of rebranding international companies in Russia following their withdrawal from the local market after 24.02.2022. The comparative analysis of social media content related to two pairs of companies (McDonald’s / Vkusno I Tochka; Zara / Maag) showed different patterns of users’ sentiments about the change. This is a pioneering attempt to explore to what extent social media analysis methods and tools can shed light on rebranding processes. This research demonstrates the potential for conducting such types of studies, but also to highlight the still existing imperfections in terms of sentence-level opinion assessment, especially in non-English texts.","PeriodicalId":517751,"journal":{"name":"Mathematics and Education in Mathematics","volume":" 42","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140391118","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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