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Nepriklausomų atsitiktinių dydžių k-tojo maksimumo tankio asimptotika 独立随机变量第 k 个最大密度的渐近线
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30794
Arvydas Jokimaitis
{"title":"Nepriklausomų atsitiktinių dydžių k-tojo maksimumo tankio asimptotika","authors":"Arvydas Jokimaitis","doi":"10.15388/lmr.2006.30794","DOIUrl":"https://doi.org/10.15388/lmr.2006.30794","url":null,"abstract":"In this paper the local limit theorem for density of k-th maxima of independent identically distributed random variables is proved.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"158 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136238440","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
Analysis of correlations between indices of academic performance 学业成绩指标之间的相关性分析
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30601
Jelena Čikun, Jonas-Vytautas Daunoravičius, Marijus Radavičius
{"title":"Analysis of correlations between indices of academic performance","authors":"Jelena Čikun, Jonas-Vytautas Daunoravičius, Marijus Radavičius","doi":"10.15388/lmr.2006.30601","DOIUrl":"https://doi.org/10.15388/lmr.2006.30601","url":null,"abstract":"The paper is devoted to multivariate statistical analysis of academic performance data. The phenomina of general grade inflation and the effect of the first passing of an egzam on grades of the egzam are investigated by making use of general linear (mixed) model and logistic regresion.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136238677","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
Explicit formulas in asymptotic expansions for Euler’s approximations of semigroups 半群欧拉近似的渐近展开式的显式公式
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30575
Monika Vilkienė
{"title":"Explicit formulas in asymptotic expansions for Euler’s approximations of semigroups","authors":"Monika Vilkienė","doi":"10.15388/lmr.2006.30575","DOIUrl":"https://doi.org/10.15388/lmr.2006.30575","url":null,"abstract":"There is not abstract.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"159 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136239127","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
Dešimtmečio po lietuviškos spaudos atgavimo aritmetikos vadovėlių panorama 立陶宛新闻界恢复十年后的算术教科书全景图
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30629
Juozas Banionis
{"title":"Dešimtmečio po lietuviškos spaudos atgavimo aritmetikos vadovėlių panorama","authors":"Juozas Banionis","doi":"10.15388/lmr.2006.30629","DOIUrl":"https://doi.org/10.15388/lmr.2006.30629","url":null,"abstract":"In 1904 with the lifting of the ban on Lithuanian publications by Russian czar government and in 1906 with giving the permit to teach arithmetics in mother tongue at primary schools the legal publishing of Lithuanian arithmetic textbooks started. Already in 1906 even three arithmetic textbooks were published. These were two parts of ``Arithmetic Taskbook“ by Pranas Mašiotas, the first part of ``Collection of Arithmetic Tasks and Examples“ by Petras Bendorius and Pranas Daugirda and two parts of translated from Polish ``Arithmetic Tasks and Examples“ by Stanislaw Thom. All the books step by step explained in the Lithuanian language four arithmetic operations up to ten, later a hundred and finally up to a thousand.In 1909 two important books were published: the second part of the textbook by Petras Bendorius and Pranas Daugirda and ``Elementary Arithmetics“ by Petras Mikolainis. The latter textbook could be distinguished for methodical instructions.In 1909–1916 Juozas Damijonaitis prepared and published two parts of ``Arithmetic Textbook“. The book was recompiled into three parts during the period of the Republic of Lithuania (in 1918–1940). It became popular and was constantly republished.When forming of arithmetic basics was coming to end in 1916 ``The Short Science of Arithmetics“ by S. Thom (1916) appeared in the Lithuanian language, where the theory of arithmetics was presented.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"96 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136240092","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
Supression of mechanical oscillations in a nonlinear systems with restriction 具有约束的非线性系统中机械振动的抑制
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30781
Genovaitė Zaksienė
{"title":"Supression of mechanical oscillations in a nonlinear systems with restriction","authors":"Genovaitė Zaksienė","doi":"10.15388/lmr.2006.30781","DOIUrl":"https://doi.org/10.15388/lmr.2006.30781","url":null,"abstract":"The application of the dynamical dampers in the mechanical systems, when the sources of stimulation are impossible to abolish, is one of the ways to fight against the harmful vibrations. The linear dynamical damper of nonlinear systems can compensate the force of stimulation in wide diapason of frequency.  The parameters of dynamical system where dynamical damper exists more effectively are determined.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136238695","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
Basic course of mathematics created by overlapping methodology of topics 数学基础课程采用主题重叠的方法创建
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30591
Bronislovas Burgis
{"title":"Basic course of mathematics created by overlapping methodology of topics","authors":"Bronislovas Burgis","doi":"10.15388/lmr.2006.30591","DOIUrl":"https://doi.org/10.15388/lmr.2006.30591","url":null,"abstract":"How to decrease the redundancy in the textbooks of mathematics? How to improve the math curricula? Overlapping of topics is the source for improvement. Proposals of this article are based on the experience acquired in the process of writing a book of math examples for high school and university students.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136240349","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
Chebyshev inequalities for unimodal distributions 单峰分布的Chebyshev不等式
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30798
Tomas Juškevičius
{"title":"Chebyshev inequalities for unimodal distributions","authors":"Tomas Juškevičius","doi":"10.15388/lmr.2006.30798","DOIUrl":"https://doi.org/10.15388/lmr.2006.30798","url":null,"abstract":"We provide precise upper bounds for the survival function of bounded unimodal random variables.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136238837","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
Students’ olympiad of Vilnius University 维尔纽斯大学学生奥林匹克竞赛
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30603
Dainius Dzindzalieta
{"title":"Students’ olympiad of Vilnius University","authors":"Dainius Dzindzalieta","doi":"10.15388/lmr.2006.30603","DOIUrl":"https://doi.org/10.15388/lmr.2006.30603","url":null,"abstract":"Some problems of the olympiad are considered. One of them is solved.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136238840","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
Rymano dzeta funkcijos kvadrato Melino tranformacijos kritinėje juostoje 临界带梅林变换平方中的雷曼zeta函数
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30567
Mindaugas Stoncelis
{"title":"Rymano dzeta funkcijos kvadrato Melino tranformacijos kritinėje juostoje","authors":"Mindaugas Stoncelis","doi":"10.15388/lmr.2006.30567","DOIUrl":"https://doi.org/10.15388/lmr.2006.30567","url":null,"abstract":"There is not abstract","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136239922","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
Biosensor response to multi-component mixtures statistical analysis and forecasting 生物传感器对多组分混合物的响应统计分析与预测
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30739
Romas Baronas, Sigitas Būda, Feliksas Ivanauskas, Pranas Vaitkus
{"title":"Biosensor response to multi-component mixtures statistical analysis and forecasting","authors":"Romas Baronas, Sigitas Būda, Feliksas Ivanauskas, Pranas Vaitkus","doi":"10.15388/lmr.2006.30739","DOIUrl":"https://doi.org/10.15388/lmr.2006.30739","url":null,"abstract":"This paper deals with an analysis of the electrochemical biosensors and their response to multi-component mixtures. The main task is to build a mathematical model for estimation the concentration of each mixture component from the biosensor response data. Two different types of biosensors: amperometric and potenciometric are analysed. Due to high dimensionality of biosensor output data the principal component analysis is applied. Additional multivariate analysis of variance is used to analyze the response sensitivity of each biosensor type. Finally a concentration estimation model based on ensemble of neural networks is presented.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136239924","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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