Institute of Mathematics and Informatics

Bulgarian Digital Mathematics Library at IMI-BAS
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    3993 research outputs found

    Use of Computer Algebra Systems in Finding of a Formula for the Term of a Recurrent Sequence

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    Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, June, 2018Solving the problem of finding a formula for the n term of a recurrent sequence with a linear dependence requires a series of calculations. We have written a sequence of commands in Maple that make all the necessary calculations. This helps students concentrate on methods of finding the general formula instead of algebraic calculations. Also, students can use Maple to check the completed calculations at each stage. Students can try to compose more difficult problems with linear connection between 4 and more consecutive terms of the recurrent sequence.Association for the Development of the Information Society, Institute of Mathematics and Informatics Bulgarian Academy of Sciences, Plovdiv University "Paisii Hilendarski

    Design of Digital Educational Games

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    Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, June, 2018In this paper is described the significant and important role on serious educational games for the modern technology enhanced education. The Games Artist create the visual elements of a game and user interface components. Several Masters of Multimedia and Virtual Reality projects are presented.Association for the Development of the Information Society, Institute of Mathematics and Informatics Bulgarian Academy of Sciences, Plovdiv University "Paisii Hilendarski

    Optimising High Resolution Measurements of Epidermal Growth Factor Receptor Oligomers in Cells Using Machine Learning Algorithms

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    [Boyadzhiev Teodor Viktorov; Бояджиев Теодор Викторов

    Лоренцови повърхнини в четиримерното псевдо-евклидово пространство с неутрална метрика

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    ИМИ-БАН, 18.01.2018 г., присъждане на образователна и научна степен "доктор" на Яна Алексиева Алексиева. [Alexieva Yana Alexieva; Алексиева Яна Алексиева

    Necessary and Sufficient Condition for Finite Time Blow up of the Solutions to Sixth Order Double Dispersive Equations

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    [Kutev N.; Kutev Nikolai; Кутев Николай]; [Kolkovska N.; Кольковска Н.]; [Dimova M.; Димова М.]The nonlinear double dispersive equation of sixth order with linear restoring force is investigated. Necessary and sufficient condition for finite time blow up of the solution with arbitrary positive energy is obtained. New very general sufficient conditions for blow up of the solution are proved. Explicit choice of initial data with arbitrary positive initial energy, satisfying all conditions of the theorems, are given. 2010 Mathematics Subject Classification: 35B44, 35L75

    On the Common Points of Two Families of N-Spheres in the flat N + 1 Dimensional Space, Each of which Passes through the Vertexes of a Given N-Simplex

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    [Tinchev Vassil K.; Тинчев Васил К.]2010 Mathematics Subject Classification: 51F99

    New lower bounds for the number of ACG codes over F4

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    In this paper we consider additive circulant graph (ACG) codes over F4 of length n >= 34 and we present some new results for the number of these codes. The most important result is that there exists a unique ACG code over F4 of length 36 and minimum weight 11

    The Role of Game-based Learning in the School

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    Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, June, 2018The paper presents problems, caused by the incompatibility between the traditional teaching methods and the needs of the students who are part of the new high-technology society. A comparison between special features of traditional and interactive learning is made. Also some core didactical principles are presented in the light of game-based learning.Association for the Development of the Information Society, Institute of Mathematics and Informatics Bulgarian Academy of Sciences, Plovdiv University "Paisii Hilendarski

    Student’s Readiness for E-learning

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    Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, June, 2018In this paper, we present our attempt to investigate student’s attitude towards a technology-enhanced learning. We are interested in exploring how learners react to changes in training methodology due to the transition to e-learning. This investigation employs survey research to assess the extent to which students are ready for changes in the training methodology regarding e-forms. Data have been collected over 200 students across different bachelor programs at New Bulgarian University in both full-time and distance forms of studies. The analysis is based on our experience in delivering courses via Moodle for both distance and full-time education. Our results concerning the students’ readiness for e-learning are presented in this paper.Association for the Development of the Information Society, Institute of Mathematics and Informatics Bulgarian Academy of Sciences, Plovdiv University "Paisii Hilendarski

    Maximum Principle for Weakly Coupled Linear Non-Cooperative Systems

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    [Boyadzhiev G.; Бояджиев Г.]; [Kutev N.; Кутев Н.]In this article is considered the validity of the maximum principle for noncooperative linear parabolic systems. Unlike the cooperative ones, when cooperativeness is a sufficient condition for maximum principle, simple examples show that for non-cooperative systems there is no general validity of the maximum principle. In this work are given some conditions for global on time variable validity of the maximum principle, as well as some local on time sufficient conditions for it. 2010 Mathematics Subject Classification: 35J47, 35J57

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