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Multiplikatyvios aibės ir kairieji stipriai pirminiai idealai žieduose 环中的乘法集合和左强主理想
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30552
Algirdas Kaučikas
{"title":"Multiplikatyvios aibės ir kairieji stipriai pirminiai idealai žieduose","authors":"Algirdas Kaučikas","doi":"10.15388/lmr.2006.30552","DOIUrl":"https://doi.org/10.15388/lmr.2006.30552","url":null,"abstract":"There is not abstract.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"6 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":"136240503","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 stability estimations without any conditions of symmetry 无对称条件下的稳定性估计
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30793
Romanas Januškevičius, Olga Januškevičienė
{"title":"On stability estimations without any conditions of symmetry","authors":"Romanas Januškevičius, Olga Januškevičienė","doi":"10.15388/lmr.2006.30793","DOIUrl":"https://doi.org/10.15388/lmr.2006.30793","url":null,"abstract":"Let X, X1, X2, ..., Xn be i.i.d. random variables. B. Ramachandran and C.R. Rao have proved that if distributions of sample mean ‾X = ‾X(n) = (X1 + ⋯ + Xn)/n and monomial X are coincident at least at two points n = j1 and n = j2 such that log j1/ log j2 is irrational, then X follows a Cauchy law. Assuming that condition of coincidence of bar X(n) and X are fulfilled at least for two n values, but only approximately, with some error ε in metric λ, we prove (without any conditions of symmetry) that, in certain sense, characteristic function of X is close to the characteristic function of the Cauchy distribution.","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":"136238100","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
Matematikos studijų samprata ir sėkmė Vilniaus pedagoginiame universitete 维尔纽斯师范大学数学研究的理念与成功
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30590
Jonas Banys, Liucija Griniuvienė, Vanda Naudžiūnienė
{"title":"Matematikos studijų samprata ir sėkmė Vilniaus pedagoginiame universitete","authors":"Jonas Banys, Liucija Griniuvienė, Vanda Naudžiūnienė","doi":"10.15388/lmr.2006.30590","DOIUrl":"https://doi.org/10.15388/lmr.2006.30590","url":null,"abstract":"In this paper enrolment and study problems in the faculty of Mathematics and informatics of Vilnius Pedagogical university are discussed.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"27 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":"136238838","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
Tvarkaraščių sudarymo algoritmo analizė 调度算法分析
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30779
Julius Simonavičius, Narimantas Listopadskis
{"title":"Tvarkaraščių sudarymo algoritmo analizė","authors":"Julius Simonavičius, Narimantas Listopadskis","doi":"10.15388/lmr.2006.30779","DOIUrl":"https://doi.org/10.15388/lmr.2006.30779","url":null,"abstract":"The analysis of machine scheduling problem and possible algorithms for solving it are presented in this paper.","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":"136238839","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
An exact bound for tail probabilities for a class of conditionally symmetric bounded martingales 一类条件对称有界鞅的尾概率的精确界
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30792
Dainius Dzindzalieta
{"title":"An exact bound for tail probabilities for a class of conditionally symmetric bounded martingales","authors":"Dainius Dzindzalieta","doi":"10.15388/lmr.2006.30792","DOIUrl":"https://doi.org/10.15388/lmr.2006.30792","url":null,"abstract":"We consider the class, say ℳn,sym, of martingales Mn = X1 + ⋯ + Xn with conditionally symmetric bounded differences Xk such that |Xk | ≤ 1. We find explicitly a solution, say Dn(x), of the variational problem Dn(x) ≝ sup Mn ∈ℳn,sym ℙ {Mn ≥ x}. We show that this problem is equivalent to one when you want to find out the symmetric random walk with bounded length of steps which maximizes the probability to visit an interval [x;∞]. The function x mapsto Dn(x) allows a simple description and is closely related to the binomial tail probabilities. We can interpret the result as a final and optimal upper bound ℙ{Mn ≥ x} ≤ Dn(x), x ∈ ℝ, for the tail probability ℙ {Mn ≥ x}.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"8 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":"136239920","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
Comparative analysis of knowledge bases: system architecture 知识库的比较分析:系统架构
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30587
Laima Paliulionienė
{"title":"Comparative analysis of knowledge bases: system architecture","authors":"Laima Paliulionienė","doi":"10.15388/lmr.2006.30587","DOIUrl":"https://doi.org/10.15388/lmr.2006.30587","url":null,"abstract":"When comparing similar knowledge bases the question arises: what situations produce different conclusions in these bases? The task of comparing knowledge bases can emerge in different domains. For example, in legal domain, it is sometimes essential to compare different versions of a legal act or similar legal acts of different countries. The article presents an architecture of the system designed for the automated comparing of knowledge bases. The architecture implements the method of comparing based on the construction of elementary test situations.","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":"136239927","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
Integrals at secondary school 中学的积分
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30589
Antanas Anynis, Juozas Šinkūnas
{"title":"Integrals at secondary school","authors":"Antanas Anynis, Juozas Šinkūnas","doi":"10.15388/lmr.2006.30589","DOIUrl":"https://doi.org/10.15388/lmr.2006.30589","url":null,"abstract":"Teaching of integrals in Lithuania, Denmark and France is presented. It is suggested to progress to three levels teaching of mathematics.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"85 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":"136240334","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 properties of Schwartz–Gopengauz operator 论施瓦茨-戈彭高兹算子的某些性质
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30569
Eduardas Kirjackis
{"title":"On some properties of Schwartz–Gopengauz operator","authors":"Eduardas Kirjackis","doi":"10.15388/lmr.2006.30569","DOIUrl":"https://doi.org/10.15388/lmr.2006.30569","url":null,"abstract":"The generalization of Schwarz’s derivative proposed by B.E. Gopengauz, which is applied to the study of the properties of the class of functions with nonvanishing in the unit circle divided difference of n-th order is examined.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"18 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139338200","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
Pjaustymo uždavinio algoritmo analizė 切割任务算法分析
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30764
Jonas Pokštas, Narimantas Listopadskis
{"title":"Pjaustymo uždavinio algoritmo analizė","authors":"Jonas Pokštas, Narimantas Listopadskis","doi":"10.15388/lmr.2006.30764","DOIUrl":"https://doi.org/10.15388/lmr.2006.30764","url":null,"abstract":"The analysis of heuristic algorithm for solving two dimensional cutting stock problem is presented in this paper.","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":"136238270","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
The aspects of the transdisciplinary cooperation in the training of the specialists in the field of Information Technologies 在信息技术领域的专家培训方面的跨学科合作
Lietuvos Matematikos Rinkinys Pub Date : 2023-09-21 DOI: 10.15388/lmr.2006.30592
Edita Butrimienė, Vida Statkevičienė, Rita Marčiulynienė
{"title":"The aspects of the transdisciplinary cooperation in the training of the specialists in the field of Information Technologies","authors":"Edita Butrimienė, Vida Statkevičienė, Rita Marčiulynienė","doi":"10.15388/lmr.2006.30592","DOIUrl":"https://doi.org/10.15388/lmr.2006.30592","url":null,"abstract":"In the article there is analyzed if the transdisciplinary cooperation influences the students’ learning results, and if such cooperation serves for the training of a specialist, who could work in a new environment of knowledge society that motivates a project work in continually variable commands. There is discussed a 3 year-experience of the application of the transdisciplinary cooperation in the training of students in the faculty of information science at Vytautas Magnus University and at Kaunas Institute of Arts, VAA (Vilnius Academy of Fine Arts). There are also investigated some research results of the transdisciplinary cooperation in training as well as the assessment of the students on their own.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"149 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":"136239930","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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