https://www.journals.vu.lt/LMR/issue/feed Lietuvos matematikos rinkinys 2021-02-19T09:21:54+00:00 Remigijus Leipus remigijus.leipus@mif.vu.lt Open Journal Systems <p>Publish articles presenting new and important events in all areas of mathematics.</p> https://www.journals.vu.lt/LMR/article/view/22553 Editorial Board and Table of Contents 2021-02-19T09:21:51+00:00 Artūras Štikonas arturas.stikonas@mif.vu.lt 2021-02-18T00:00:00+00:00 Copyright (c) 2020 Lietuvos matematikos rinkinys https://www.journals.vu.lt/LMR/article/view/22474 Relations between spectrum curves of discrete Sturm-Liouville problem with nonlocal boundary conditions and graph theory 2021-02-19T09:21:53+00:00 Jonas Vitkauskas jonas.vitkauskas@mif.stud.vu.lt Artūras Štikonas arturas.stikonas@mif.vu.lt <p>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.</p> 2021-02-18T00:00:00+00:00 Copyright (c) 2020 Lietuvos matematikos rinkinys https://www.journals.vu.lt/LMR/article/view/22469 Effective bounds of the variance of statistics on multisets of necklaces 2021-02-19T09:21:53+00:00 Arvydas Karbonskis arvydas.karbonskis@mif.stud.vu.lt Eugenijus Manstavičius eugenijus.manstavicius@mif.vu.lt <p>The variance of a linear statistics on multisets of necklaces is explored. The upper and lower bounds with optimal constants are obtained</p> 2021-02-18T00:00:00+00:00 Copyright (c) 2020 Lietuvos matematikos rinkinys https://www.journals.vu.lt/LMR/article/view/22468 The stability analysis of the market price using Lambert function method 2021-02-19T09:21:54+00:00 Irma Jankauskienė irma.jankauskiene@ktu.lt Tomas Miliūnas tomas.miliunas@ktu.edu <p>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.</p> 2021-02-18T00:00:00+00:00 Copyright (c) 2020 Lietuvos matematikos rinkinys https://www.journals.vu.lt/LMR/article/view/22470 On a classification of word problems from the first grade Lithuanian textbooks 2021-02-19T09:21:50+00:00 Ieva Kilienė ieva.kiliene@mif.vu.lt <p>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.</p> <div class="ms-editor-squiggler" style="color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-inline: initial; inset: initial; box-shadow: initial; box-sizing: initial; break-after: initial; break-before: initial; break-inside: initial; buffered-rendering: initial; caption-side: initial; caret-color: initial; clear: initial; clip: initial; clip-path: initial; clip-rule: initial; color-interpolation: initial; color-interpolation-filters: initial; color-rendering: initial; color-scheme: initial; columns: initial; column-fill: initial; gap: initial; column-rule: initial; column-span: initial; contain: initial; contain-intrinsic-size: initial; content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: initial; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;">&nbsp;</div> 2021-03-01T00:00:00+00:00 Copyright (c) 2020 Lietuvos matematikos rinkinys https://www.journals.vu.lt/LMR/article/view/22521 Models of virtual library users’ behavior analysis 2021-02-19T09:21:52+00:00 Gytis Vievesis gytis.vievesis@ktu.lt Vytautas Janilionis vytautas.janilionis@ktu.lt Antanas Štreimikis antanas.streimikis@ktu.lt <p>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,&nbsp; 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,&nbsp; 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&nbsp; 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.</p> 2021-02-18T00:00:00+00:00 Copyright (c) 2021 Lietuvos matematikos rinkinys