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Kramerio formulių taikymo klausimu
Get PDFThe article analyses a possibility of modification of Cramer’s rule. The modified formulas for the solution of a system of linear equations, with application of which the volume of calculation reduces,are suggested. Šiame straipsnyje siūloma tam tikra Kramerio1 formulių [1, 2] modifikacija tiesinių lygčių sistemai spręsti. Taikant ją sumažėja skaičiavimų apimtis.
 
Matematinės analizės pradmenų dėstymo vidurinėje mokykloje klausimu
Get PDFThe article, from different didactical aspects, analysis the problem of teaching fundamentals of calculus at secondary school. Continuity and limit of a function are suggested to be explained on the base of an informal concept and examples of these notions. An explanation of this kind is completely sufficient in solving problems of calculation of limits and derivatives of rational functions as well as other problems.Straipsnyje nagrinėjami matematinės analizės pradmenų dėstymo vidurinėje mokykloje didaktiniai aspektai
Simplekso metodo rekurenčiųjų formulių taikymo klausimu
Get PDFThe article analyses a possibility to simplify calculations by using modified recurrence formulas of simplex method for solving problems of linear programming.Šiame straipsnyje apibendrinama tam tikra simplekso metodo (jis taikomas tiesinio programavimo kanoniniam uždaviniui spręsti) rekurenčiųjų formulių (žr., pavyzdžiui, [1]) modifikacija. Taikant modifikuotas formules, kai tikslo funkcijos ir apribojimų sistemos lygčių koeficientai yra sveikieji skaičiai, galima pasiekti, kad nė vienoje iteracijoje pagrindinių skaičiavimų lentelėje nebūtų trupmeninių skaičių. Išsamų modifikuotų formulių išvedimą, grindžiamą tiesinių lygčių sistemos sprendimo Gauso metodu, galima rasti A. Apynio ir S. Stungurienės vadovėlyje „Verslo ir vadybos matematika“ [2]
Lucas Numbers in Optimization Problems.
No full textThe main objective of this work is to find out how Lucas numbers influence unimodal function optimization. Here are analyzed Fibonacci method and golden section method, in this master thesis
Games of extensive form.
No full textThe topic of this paper is Games of Extensive Form. The aim of this paper is to analyse games of extensive form and their application. In order to achieve this aim, the following tasks were formulated: 1. To analyse the concepts by illustrating them with examples. 2. To study Nash equilibrium. 3. To analyse games, referring to the games of extensive form. 4. To introduce some examples of games of extensive form and their application in economics. This paper consists of five sections, including the understanding of the games, definition of games of extensive form, Nash equilibrium, examples of games of extensive form and application tasks. There are also two appendixes included. In the first section the understanding of the games is presented as well as the main concepts of it and the classification of the games. The second section provides the reader with the information consisting of the main concepts of a game tree, in addition to definitions of games of extensive form. The third section defines Nash equilibrium and how can it be found in games of extensive form. In the next section the games Small Crosses – Zeros, Mini Checkers and Stone-Scissors-Paper are analysed with a view to games of extensive form. The last but not least section presents the application in economics of games of extensive form
Models of Social Welfare.
No full textMuch of our time is spent in making a living and in living itself. One essential element in these rather mundane activities is land and residential location. In this work, there are analysed household wellfare problam in monocentric, circular city consisting of a circular central business district surrounded by an annular region of roads and houses. Problam consists of household location optimum, competitive equilibrium and transport (public and private) problams. The model is iliustrated with solving three real situation – household optimum in Vilnius district, recreation zone planing and activities of scool, as economic subject, budget planing
Scheduling problems.
No full textScheduling Problems Scheduling problems have been dealt with for a long time but better and faster solutions are being looked for even now. This problem has to be solved in various situations: when planning manufacturing, making transport schedules, organizing transportation of production from one place to another, scheduling periods in schools. The aim of this master’s thesis is to review the principles of schedule making in areas of production and teaching, in addition to evaluating the possibilities of three different computer programmes which are designed to create schedules for schools. In the first part of the present work the principles of making a schedule are reviewed, the mathematical models of making school and shop-schedules are being discussed. The mathematical model of school-scheduling is applied for creating a schedule for progymnasium in the second part. The schedules that were generated by three different computer programmes are evaluated based on the aim function used in the model of creating a schedule for school. Alongside with the evaluations of created schedules, notes on the possibilities of computer programmes are provided
Problems of Net Planning.
No full textThe goal of this master's degree thesis is to analyze problems of net planning. The thesis defines one way of determining the critical path. There are also algorithms of net graph parameters calculation analyzed and constructed. In addition, the thesis contains a computer program which determines critical path of net graph. Two problems are solved using this program. Implementation of net planning methods can help use time and other resources more effectively, organize and accomplish complex projects. Methods of net planning can gain interest not only of mathematicians, but also of managers, engineers, and those responsible for planning and managing complex systems
General equilibrium in models of economics.
No full textThe classical general equilibrium model aims to describe the economy by aggregating the behavior of individuals and firms. In the model, the individual is assumed to be the basic unit of analysis and these individuals, both workers and employers, will make choices that reflect their unique tastes, objectives, and preferences. Consumer behavior describes his utility function. The work analyzed the optimal choice of the task on a case where the user preferences designed Cobb-Douglas utility functions. Then we describe the Edgeworth box at exchange economy. It is used in general equilibrium theory, and can aid in finding the competitive equilibrium of a simple system
Ar aukštosios matematikos pradmenys reikalingi Lietuvos gimnazijoje?
Get PDFThe article discusses the experience of Lithuania and some other European countries in respect of teaching the basics of calculus at secondary school.Attention is drawn to the fact that the basics of calculus is taught in several (2 to 4) levels in many European countries.A shift to a three-level teaching system as well as the arrangement of the state graduation examinations of mathematics according to the three-level curricula in Lithuanian gymnasia is suggested here.Straipsnyje aptariama Lietuvos ir kai kurių kitų Europos šalių patirtis mokant skaičiavimo pagrindų vidurinėje mokykloje. Atkreiptinas dėmesys į tai, kad skaičiavimo pagrindai mokomi keliais (nuo 2 iki 4) lygiais daugelyje Europos šalių. Čia siūloma pereiti prie trijų lygių mokymo sistemos, taip pat rengti valstybinius matematikos egzaminus pagal Lietuvos gimnazijos trijų lygių programas
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