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Monotoniškųjų sekų metodo taikymas 单调序列法的应用
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmr.2005.26664
Juozas Juvencijus Mačys
{"title":"Monotoniškųjų sekų metodo taikymas","authors":"Juozas Juvencijus Mačys","doi":"10.15388/lmr.2005.26664","DOIUrl":"https://doi.org/10.15388/lmr.2005.26664","url":null,"abstract":"The method of monotonic sequences (see [1], [2]) is considered and the issue of its exactness is discussed. It is shown how the method can be applied to finite sums with a large number of summands.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"17 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139254803","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
Oro kokybės tyrimas naudojant funkcinės duomenų analizės metodus 利用功能数据分析技术调查空气质量
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmr.2023.33658
Akvilė Vitkauskaitė, Milda Salytė
{"title":"Oro kokybės tyrimas naudojant funkcinės duomenų analizės metodus","authors":"Akvilė Vitkauskaitė, Milda Salytė","doi":"10.15388/lmr.2023.33658","DOIUrl":"https://doi.org/10.15388/lmr.2023.33658","url":null,"abstract":"In this research paper, a comprehensive analysis of particulate matter (PM10) and nitrogen dioxide (NO2) pollution concentrations in six different Lithuanian regions is presented. The analysis employs data smoothing, principal component analysis (PCA), exploratory data analysis, hypothesis testing, and time series analysis to provide a thorough examination. Functional data analysis approaches were used to find the origins and effects of these air pollutants by revealing their data patterns. The functional data analysis techniques demonstrate their effectiveness in revealing deep links within large datasets, assisting in the control of air quality problems. This research provides valuable insights into air quality challenges in Lithuanian regions. The study, aimed at comparing air quality across different regions, indicates that there are no significant differences in PM10 and NO2 between the two groups. Notably, reliable forecasts for 2023 data are attainable for PM10 in regions such as Vilnius Old Town, Vilnius Lazdynai, Šiauliai, and Klaipėda. For NO2, successful forecasting can be applied to Vilnius Old Town, Vilnius Lazdynai, and Šiauliai.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"40 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139255784","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
Problems for combinatorial numbers satisfying a class of triangular arrays 满足一类三角形阵列的组合数问题
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmr.2023.33577
I. Belovas
{"title":"Problems for combinatorial numbers satisfying a class of triangular arrays","authors":"I. Belovas","doi":"10.15388/lmr.2023.33577","DOIUrl":"https://doi.org/10.15388/lmr.2023.33577","url":null,"abstract":"Numbers satisfying a class of triangular arrays, defined by a bivariate first-order linear difference equation with linear coefficients, include a wide range of combinatorial numbers: binomial coefficients, Morgan numbers, Stirling numbers of the first and the second types, non-central Stirling numbers, Eulerian numbers, Lah numbers, and their generalizations. In this work, we derive the general analytic expression of the numbers satisfying a class of triangular arrays and propose problems (both teaching and unsolved ones) for undergraduates studying probability theory and analytical combinatorics subjects in the study programs of the fields of mathematics and computer science. Some of the unsolved challenges can also be used as the basis for a thesis.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139258907","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
Do we need mixed numbers? 我们需要混合数字吗？
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmr.2023.33601
Robertas Vilkas
{"title":"Do we need mixed numbers?","authors":"Robertas Vilkas","doi":"10.15388/lmr.2023.33601","DOIUrl":"https://doi.org/10.15388/lmr.2023.33601","url":null,"abstract":"Many reasons are given for not using mixed numbers.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"38 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139255561","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
Apibendrintųjų z-skirstinių Cornish–Fisher skleidiniai 广义 z 分布的康尼什-翡冷翠离散度
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmr.2005.27392
Jurgita Turkuvienė, A. Bikelis
{"title":"Apibendrintųjų z-skirstinių Cornish–Fisher skleidiniai","authors":"Jurgita Turkuvienė, A. Bikelis","doi":"10.15388/lmr.2005.27392","DOIUrl":"https://doi.org/10.15388/lmr.2005.27392","url":null,"abstract":"The article presents Cornish–Fisher expansions of generalized z-distribution.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"198 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139254952","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
Comparison of ``What numbers make sense?'' problems solving in the Czech Republic and Lithuania 比较捷克共和国和立陶宛的 "哪些数字有意义？
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmr.2023.33594
Ieva Kilienė
{"title":"Comparison of ``What numbers make sense?'' problems solving in the Czech Republic and Lithuania","authors":"Ieva Kilienė","doi":"10.15388/lmr.2023.33594","DOIUrl":"https://doi.org/10.15388/lmr.2023.33594","url":null,"abstract":"Word problems pose many challenges for students. One of them is the failure to understand the task conditions and the mechanical solution of the problem. This problem can be addressed by incorporating non-standard word problems into the learning process.  The article reviews the type of non-standard word problems called ``Where numbers make sense?'' and discusses its potential applications. It also presents the results of a study conducted with students from Lithuania and the Czech Republic.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"122 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139257170","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
fANOVA taikymas kompanijų su dažnu ir retu generalinio direktoriaus pasikeitimu palyginimui 用 fANOVA 比较 CEO 频繁更替和不频繁更替的公司
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmr.2023.33589
Urtė Deinoravičiūtė, Anna Yasyreva
{"title":"fANOVA taikymas kompanijų su dažnu ir retu generalinio direktoriaus pasikeitimu palyginimui","authors":"Urtė Deinoravičiūtė, Anna Yasyreva","doi":"10.15388/lmr.2023.33589","DOIUrl":"https://doi.org/10.15388/lmr.2023.33589","url":null,"abstract":"The aim of this study was to analyze the data from the Nasdaq Baltic listed companies’ financial statements and to estimate if the CEO changes have a significant influence on the financial performance: profitability, indebtedness and stock price. Data was collected and financial ratios were computed for 34 companies during 2006 to 2021 (2008 to 2022 for stock prices). The companies were divided into 3 groups: ones that had no CEO changes over the period; those that had 1 or 2 and those with 3 or more. Point-wise ANOVA, fANOVA and fMANOVA were conducted. Both point-wise and functional ANOVA indicated that there is a significant difference of at least one group from the others in terms of ROA and EBITDA margin. After conducting two-sample tests, the group with 3 or more CEO changes was identified as having a significantly higher EBITDA margin than the others. Furthermore, a significant positive relationship between the stock price and the CEO turnover was uncovered in the function-on-scalar regression results.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"54 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139258662","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
Stochastinių logistinių dėsnių ir tankio mišinių taikymas medynų augimo analizėje 随机逻辑法则和密度混合物在林木生长分析中的应用
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmr.2005.29316
Petras Rupšys, Danutė Raškinienė
{"title":"Stochastinių logistinių dėsnių ir tankio mišinių taikymas medynų augimo analizėje","authors":"Petras Rupšys, Danutė Raškinienė","doi":"10.15388/lmr.2005.29316","DOIUrl":"https://doi.org/10.15388/lmr.2005.29316","url":null,"abstract":"The processes of growth play an important role in different fields of science, such as ecology, economics, finance etc. In applications the averaged trend kinetics is represented by means of one of the types of  logistic forms (Verhulst, Gompertz, Mitscherlich, Richards et al.). The article deals with the numerical solutions of the Fokker–Plank equation.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"102 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139258794","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
n-os eilės Filono kvadratūrinės formulės paklaidos įvertinimas 费伦正交公式的 n 次误差估计
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmr.2005.29206
Kostas Plukas, Danutė Plukienė
{"title":"n-os eilės Filono kvadratūrinės formulės paklaidos įvertinimas","authors":"Kostas Plukas, Danutė Plukienė","doi":"10.15388/lmr.2005.29206","DOIUrl":"https://doi.org/10.15388/lmr.2005.29206","url":null,"abstract":"In this paper the error estimation for n-th order Filon quadrature formula is discussed.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139259123","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
sites.google.com/view/Lapinskas – Mathematical readings sites.google.com/view/Lapinskas - 数学读物
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmd.2023.33595
Remigijus Lapinskas
{"title":"sites.google.com/view/Lapinskas – Mathematical readings","authors":"Remigijus Lapinskas","doi":"10.15388/lmd.2023.33595","DOIUrl":"https://doi.org/10.15388/lmd.2023.33595","url":null,"abstract":"This article is about the author's online book \"Mathematical Readings\" [2]. The book presents the high school math course in a slightly different way than conventional textbooks, the work focuses less on routine problems and tries to examine mathematical concepts in a broader context. The book makes frequent use of mobile math apps and the R program, and links to online sources are often provided. The text may be useful for self-study and math circles.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"15 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139259546","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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