Lietuvos matematikos rinkinys

Journal Information
ISSN / EISSN : 0132-2818 / 0132-2818
Current Publisher: Vilnius University Press (10.15388)
Total articles ≅ 56
Current Coverage
DOAJ
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Latest articles in this journal

Ieva Kilienė
Lietuvos matematikos rinkinys, Volume 61, pp 18-24; doi:10.15388/lmr.2020.22470

Abstract:
Word problems are classified to S problems and P problems by Verschaffel [9], classification is being specified and expanded. Reviewed word problems in Lithuanian first grade textbooks and divided to types. Submitted recommendations to use more varied types word problems, that would let to expand concepts understanding, develop mathematical reasoning, motivate to study word problem.
Arvydas Karbonskis, Eugenijus Manstavičius
Lietuvos matematikos rinkinys, Volume 61, pp 7-12; doi:10.15388/lmr.2020.22469

Abstract:
The variance of a linear statistics on multisets of necklaces is explored. The upper and lower bounds with optimal constants are obtained
Irma Jankauskienė, Tomas Miliūnas
Lietuvos matematikos rinkinys, Volume 61, pp 13-17; doi:10.15388/lmr.2020.22468

Abstract:
In this article we are going to analyze market price stability with different market intensity coefficient and delay argument values. Market price is described as a scalar differential equation with a delay argument. In order to find solutions for the transcendental equation we will use method based on Lambert function. We will present examples of the applications of the method.
Gytis Vievesis, Vytautas Janilionis, Antanas Štreimikis
Lietuvos matematikos rinkinys, Volume 61, pp 25-30; doi:10.15388/lmr.2020.22521

Abstract:
In this paper, we present models for the analysis of the behavior of the virtual library (VL) users. Unlike the models presented in the literature, they use only the big data that is stored in the log files of virtual library servers and methods of statistics, association rules, and recommendation systems. The proposed models were implemented with R software. Using the proposed models, the analysis of the behavior of VL users of Lithuanian research and study of higher education institutions was performed for the first time. The results showed that the proposed models allow to operatively analyze the behavior of virtual library users using advanced search filters, facets, and provide suggestions for improvement of service quality.
Jonas Vitkauskas,
Lietuvos matematikos rinkinys, Volume 61, pp 1-6; doi:10.15388/lmr.2020.22474

Abstract:
Sturm-Liouville problem with nonlocal boundary conditions arises in many scientific fields such as chemistry, physics, or biology. There could be found some references to graph theory in a discrete Sturm-Liouville problem, especially in investigation of spectrum curves. In this paper, relations between discrete Sturm-Liouville problem with nonlocal boundary conditions characteristics (poles, critical points, spectrum curves) and graphs characteristics (vertices, edges and faces) were found.
Algimantas Bikelis, Audrius Galinskis
Lietuvos matematikos rinkinys, Volume 48, pp 381–385-381–385; doi:10.15388/lmr.2008.18126

Abstract:
In this work it is researched H. Bergstrom work about asymptotic behavior of convolutions of probability distributions. We give the theorem about the members of expansion in decreasing order and the remainder term estimation. There we propose apply Levy–Scheffer polynomials and to construct pseudomoments for more profound H. Bergstrom’s asymptotic expansion investigations.
Lietuvos matematikos rinkinys, Volume 48, pp 372–375-372–375; doi:10.15388/lmr.2008.18124

Abstract:
In this paper non-uniform estimate of convergence rate in the min-scheme is obtained. Presented results make the estimates, given in [1] and [2], more precise.
Liudas Kaklauskas, Leonidas Sakalauslas
Lietuvos matematikos rinkinys, Volume 48, pp 314–319-314–319; doi:10.15388/lmr.2008.18116

Abstract:
The present article deals with statistical university network traffic, by applying the methods of self-similarity and chaos analysis. The object of measurement is Šiauliai University LitNet network node maintaining institutions of education of the northern Lithuania region. Time series of network traffic characteristics are formed by registering amount of information packets in a node at different regimes of network traffic and different values of discretion of registered information are present. Measurement results are processed by calculating Hurst index and estimating reliability of analysis results by applying the statistical method. Investigation of the network traffic allowed us drawing conclusions that time series bear features of self-similarity when aggregated time series bear features of slowly decreasing dependence.
Lietuvos matematikos rinkinys, Volume 50, pp 140–145-140–145; doi:10.15388/lmr.2009.25

Abstract:
Mathematics teacher Romualdas Paliokas (1929–1977) worked Mol˙ etai, Ignalina and Anykščiai districts, the city of Panev˙ ežys. He investigated the pupils’ mathematical capabilities and prepared a doctoral thesis. Two major articles were published in pedagogical periodicals. He was unable to defend the thesis, because he died.
Lietuvos matematikos rinkinys, Volume 51, pp 142–144-142–144; doi:10.15388/lmr.2010.26

Abstract:
In this article, we survey the mathematics contest, which is held for first-year students of Šiauliai College. We discuss on the organize grounding of competition and its perspective, and on the benefit of students motivated for learning. Also, we analyze an example of the tasks and the most common errors made by students.
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