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Kubiliaus nelygybės analogas polinomų pusgrupėje 库比留斯不等式在多项式半群中的类比
Lietuvos Matematikos Rinkinys Pub Date : 2024-05-15 DOI: 10.15388/lmr.2000.34895
Gintautas Bareikis
{"title":"Kubiliaus nelygybės analogas polinomų pusgrupėje","authors":"Gintautas Bareikis","doi":"10.15388/lmr.2000.34895","DOIUrl":"https://doi.org/10.15388/lmr.2000.34895","url":null,"abstract":"Let P be a set of primary irreducible polynomials and Qm = {p + 1; p ∈ P , ∂(p) = m}. Kubilius inequality for additive functions f : Qm → C is proved.\u0000 ","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"64 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140973037","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
Geometry of frame bundles 框架束几何
Lietuvos Matematikos Rinkinys Pub Date : 2024-05-15 DOI: 10.15388/lmr.2000.35084
Kazimeras Navickis
{"title":"Geometry of frame bundles","authors":"Kazimeras Navickis","doi":"10.15388/lmr.2000.35084","DOIUrl":"https://doi.org/10.15388/lmr.2000.35084","url":null,"abstract":"In this article we define the canonical forms on the principal bundle of holonomic frames of order r, give structure equations for these forms and determine the connection of order r.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"142 13","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140976475","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
Model generation and comparative analysis of legal knowledge bases 法律知识库的模型生成和比较分析
Lietuvos Matematikos Rinkinys Pub Date : 2023-12-18 DOI: 10.15388/lmr.2003.32417
L. Paliulioniene
{"title":"Model generation and comparative analysis of legal knowledge bases","authors":"L. Paliulioniene","doi":"10.15388/lmr.2003.32417","DOIUrl":"https://doi.org/10.15388/lmr.2003.32417","url":null,"abstract":"The article deals with the possibilities of computerized comparative legal analysis. Legal do­cuments are formalized using frame logic (F-logic) and are stored in knowledge bases. Their dif­ference is defined as the difference between conclusions made from possible cases. This article presents an elaborated rule of knowledge base model generation designed for F-logic expressions.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"95 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139175550","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
Diskrečiųjų martingalų statistinių modelių lokalus asimptotinis normalumas 离散马氏统计模型的局部渐近正态性
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmd.2023.33592
Vaidotas Kanišauskas
{"title":"Diskrečiųjų martingalų statistinių modelių lokalus asimptotinis normalumas","authors":"Vaidotas Kanišauskas","doi":"10.15388/lmd.2023.33592","DOIUrl":"https://doi.org/10.15388/lmd.2023.33592","url":null,"abstract":"We establish general conditions assuring the local asymptotic normality of statistical experiments of discrete or purely discontinuous local martingales obtained models of point processes of all types were found out. The general conditions include the Fréchet differentiability of parameters in probability in normed spaces with regard to a continuous compensator.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"29 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139256075","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 importance of homework in the system of mathematical education 作业在数学教育体系中的重要性
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmr.2005.26667
Viktorija Sičiūnienė
{"title":"The importance of homework in the system of mathematical education","authors":"Viktorija Sičiūnienė","doi":"10.15388/lmr.2005.26667","DOIUrl":"https://doi.org/10.15388/lmr.2005.26667","url":null,"abstract":"The article examines the factors that describe homework policy and characterize their influence on students' achievements in learning mathematics. The data of national research of 2004 is analyzed on the basis of statistic methods. 346 mathematics teachers and 2030 students of the 6th form and 1827 students of the 10th form took part in the research.Most teachers recognize that the main function of homework is to review the knowledge and skills acquired in the classroom. However, the results of the research show that this object is achievable in case students are responsibly trained for homework, and the teacher develops the right students' attitude towards their duties by constant and moderate insistence.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139257439","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
Apie Šrėdingerio lygties sprendinio sprogimo laiko įvertį 关于薛定谔方程解的爆炸时间估计
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmr.2005.24559
Gintaras Puriuškis
{"title":"Apie Šrėdingerio lygties sprendinio sprogimo laiko įvertį","authors":"Gintaras Puriuškis","doi":"10.15388/lmr.2005.24559","DOIUrl":"https://doi.org/10.15388/lmr.2005.24559","url":null,"abstract":"There is considered the Schrödinger equation ∂u/∂t= i Δu+ i|u|p , u, t > 0, with initial condition u(0, x)= u0(x),  x ∈ Rn, n = 1. We prove the existence of the u0(x) such, that the blow up time estimation increases if p increases in the intervale 4 < p < p0.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"58 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139258735","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
Investigation of an attack on the multi-prime RSA cryptosystem based on cubic equations 基于三次方程的多质点 RSA 密码系统攻击研究
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmr.2023.33590
Aleksėjus Michalkovič, Jokūbas Žitkevičius
{"title":"Investigation of an attack on the multi-prime RSA cryptosystem based on cubic equations","authors":"Aleksėjus Michalkovič, Jokūbas Žitkevičius","doi":"10.15388/lmr.2023.33590","DOIUrl":"https://doi.org/10.15388/lmr.2023.33590","url":null,"abstract":"In this paper we consider a modification of the attack on the classic RSA cryptosystem aimed at factoring the public modulus n, which is a product of three primes. To improve the performance of the modified attack we introduce additional parameters. We present the theoretical upper bound on the search range parameter and define a shifting parameter based on the empirical results. Since these changes make our attack probabilistic, we investigate the dependence of the success on the values of the newly defined parameters.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"5 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139258392","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
Testing for a changed segment in variance with application 测试与应用不同的变化部分
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmr.2005.27393
D. Zuokas
{"title":"Testing for a changed segment in variance with application","authors":"D. Zuokas","doi":"10.15388/lmr.2005.27393","DOIUrl":"https://doi.org/10.15388/lmr.2005.27393","url":null,"abstract":"There is not abstract","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"277 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139256557","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 life and activities of Jonas Matulionis 乔纳斯-马图利奥尼斯的生活和活动
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmr.2005.26652
V. Pekarskas, A. Pekarskienė
{"title":"The life and activities of Jonas Matulionis","authors":"V. Pekarskas, A. Pekarskienė","doi":"10.15388/lmr.2005.26652","DOIUrl":"https://doi.org/10.15388/lmr.2005.26652","url":null,"abstract":"A brief biography of the mathematician prof. J. Matulionis is presented. The accent is made on the most significant links of his life – the study period and the longevous work at the Kaunas University of Technology.The textbook  `  `  Higher  mathematics'', prepared by J. Matulionis, is analysed. The textbook appears to be the very first (after the war) means on mathematics in Lithuanian, for higher technical schools.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"39 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139258892","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
Completeness classes for intuitionistic first-order temporal logic with time gaps 有时间间隙的直觉一阶时间逻辑的完备性类
Lietuvos Matematikos Rinkinys Pub Date : 2023-11-20 DOI: 10.15388/lmr.2005.26671
R. Alonderis
{"title":"Completeness classes for intuitionistic first-order temporal logic with time gaps","authors":"R. Alonderis","doi":"10.15388/lmr.2005.26671","DOIUrl":"https://doi.org/10.15388/lmr.2005.26671","url":null,"abstract":"There is not abstract.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"289 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139257222","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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