Institute of Mathematics and Informatics

Bulgarian Digital Mathematics Library at IMI-BAS
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    Достъпната уеб среда като възможност за предлагане и придобиване на знания

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    New information technologies and accessibility technologies pose new challenges and opportunities to education. The main purpose of this study is to explore the basic principles that underlie affordable online learning. Accessibility is seen as an opportunity to include those participants who, for various reasons, lag behind the overall flow. The proposed basic principles could serve as a prerequisite for improving the quality of educational materials used

    Цифрови технологии за е-учене на изкуство и култура

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    Настоящата статия представя някои възможности на цифровите технологии за подпомагане на обучението по изкуство и култура чрез внедряване на съвременни средства за по-добро разбиране, творческо мислене, учене чрез правене и креативност. Акцент е поставен върху ангажирането на учащите в обучаващите процеси чрез подходящи методи и инструменти, за да се осигури по-активното им участие по време на възприемането на знанието.This article presents some digital technologies to support learning in art and culture by introducing modern tools for better understanding, creative thinking, and learning-by-doing, and creativity. Emphasis is placed on learners' engagement with appropriate methods and tools in order to ensure a more active participation of the learner during the perception of knowledge.Настоящата работа е в резултат на изпълнение на Национална научна програма "Културноисторическо наследство, национална памет и обществено развитие" (https://kinnpor.uni-sofia.bg/), финансирана от Министерството на образованието и науката на Република България в изпълнение на РЕШЕНИЕ № 577 от 17 август 2018 година на Министерския съвет за одобряване на национални научни програми

    Разработване на нови решения в областта на представянето и опазването на културно-историческото наследство в регион Север+

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    Ускореното развитие на интердисциплинарните и цифровите технологии доведе до необходимостта от непрекъснати нови изследвания във всички области, включително и при опазването и представянето на културно-историческото наследство. Този доклад разглежда и представя дейности от проекта "Дигитално културно съкровище Север+" с участието на Института по математика и информатика към Българската академия на науките, за подобряване на достъпа и разпространението на културното наследство. Разгледани са някои от технологичните решения, разработени във връзка с цифровото преобразуване на материали, създадени в цифровия център, платформата и мрежата "Север+".The accelerated development of interdisciplinary and digital technologies has prompted the need for continuous new research in all areas, including the preservation and presentation of cultural and historical heritage. This report examines and presents the activities of the project "Digital cultural treasure North +" with participation of Institute of Mathematics and Informatics, BAS, for improving access and dissemination of cultural heritage. Some of the technological solutions developed in connection with the digital conversion of materials created in the digital center, the platform and the North+ network have been studied

    Дирекцията за обществена обнова и дирекцията на националната пропаганда през погледа на карикатуриста Райко Алексиев (1934-1943 Г.)

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    След преврата на 19 май 1934 г. времето на епизодичните пропагандни акции отстъпва на десетилетието, в което пропагандата се превръща в основен елемент от дейността на политическия елит в България. Дирекцията за обществена обнова и Дирекцията на националната пропаганда са институциите, които през 30-те и 40-те години на ХХ век в най-голяма степен формират политическите нагласи на българското общество. В този период вестник "Щурец" става част от ежедневието на българина и се превръща във възможност за комичното му осмисляне. До началото на Втората световна война карикатурите на Райко Алексиев отразяват обективно вътрешно- и външнополитическите събития, но след 1939 г. те се използват за постигане на внушения в полза на българските управляващи.After the coup on the 19th of May 1934, the time of episodic propaganda actions gives way to the decade in which propaganda becomes a key element of the Bulgarian political elite’s activity. During the 1930s and 1940s the Social Renovation Department and the National Propaganda Department are the institutions that to the greatest extentform the political attitudes of the Bulgarian society. During this period, Shturets (Cricket) Newspaper becomes part of the everyday life of every Bulgarian and turns to be an opportunity for giving it a comic meaning. Until the beginning of the Second World War, the caricatures of Rayko Aleksiev objectively reflect the national and foreign political events, but after 1939 they are used for achieving suggestions in favour of the Bulgarian rulers

    Modified FVK Model

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    [Georgiev V.; Георгиев В.]This paper considers a generalization of Föppl–von Kärmán model for elastic plate depending on a parameter σ. We prove global well posedness for the Cauchy problem with small initial data and σ = 1 via Strichartz estimate for vibrating plate and Riesz transform. We generalize this result to a perturbed version of the original case (σ = 2) with the use of Yukawa potential. 2010 Mathematics Subject Classification: 35J50, 35Q40, 35J45

    On an Example of Derivative Nonlinear Schrödinger Equation with D2 Reduction

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    [Gerdjikov V. S.; Герджиков В. С.]; [Stefanov A. A.; Stefanov A. Aleksander; Стефанов А. Александър]2010 Mathematics Subject Classification: 35Q15, 31A25, 37K10, 35Q58

    A Note on the Dagum–II Sigmoid Function with Applications to Wealth Data. Other Applications

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    [Kyurkchiev Nikolay; Кюркчиев Николай]; [Iliev Anton; Илиев Антон]2010 Mathematics Subject Classification: 41A46

    Extended Reality Training Analytical Transcends in The Future Digital Society

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    Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, May, 2019The upcoming digital Society 5.0 is expected to give a more creative role to the new digitally (i-) transformed people that is naturally requiring and a suitable way for their successful training. The main idea is to implement an extended reality in the new educational process, combining: mixed, virtual and augmented realities, within a holistic integration model and advanced human-machine smart interaction. The paper outlines a transcending system-ofsystems analytical foreseeing for the future digital transformation transcends, related to both technologies and humans, accentuating on the training process for successful establishment of new, diverse cognitive i-skills and i-behaviour. Further, user-feedback, extended reality experimental validation is performed. Finally, a wrap-up discussion on the future training transcends for the upcoming transformed digital society is provided.Association for the Development of the Information Society, Institute of Mathematics and Informatics Bulgarian Academy of Sciences, Plovdiv University "Paisii Hilendarski

    Software Tools for Visualizing Dynamic Information Resources

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    Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, May, 2019The work presents systems for the visualization of information in an appropriate way. Describes templates for modeling templates and visual analysis. A classification of the systems has been developed and the comparison is based on the capabilities of software systems for data analysis, modeling systems, user level, goals and ways of use.Association for the Development of the Information Society, Institute of Mathematics and Informatics Bulgarian Academy of Sciences, Plovdiv University "Paisii Hilendarski

    An Approach to Storing Data Based on the Data Lake Concept to Facilitate Intelligence Data Analysis

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    Data analysis is now becoming increasingly more important for business. The accumulation of large amounts of different types of data in organizations is a prerequisite for seeking new ways of storing, processing and analyzing them. This article presents the nature of the data lake concept and an approach for organizing and storing all the data, both generated by the software systems in the organizations and extracted from Internet sources. The approach is based on the combined usage of the concepts of data lake and data warehouse and allows the storage of large amounts of data, regardless of its type, structure, or format, as well as the integrated use of structured and unstructured data and the application of a variety of techniques for intelligent business analysis. ACM Computing Classification System (1998): H.2.1, I.2, K.4.4. Mathematics Subject Classification – MSC2020: 68T09

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