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

    A Set of Conceptual Guidelines for Reverse Engineering Using Ontology-Based Materialized Views

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    Data reuse and meta-data handling remain a tricky problem for both designers and managers, especially when schemas reverse engineering is on demand and some data are stored in materialized views. In this paper, we tackle this problem by using ontology-based meta-materialized views. Indeed, ontologies, which are semantics-based, ensure the stability of the underlying schemas of the data repositories and the ease of the overall access and processing of the data and meta-data. Our proposal is informed by a set of conceptual guidelines and outlined through a case study example. ACM Computing Classification System (1998): H.2.1, H.2.2, H.2.3, H.2.8, K.6.1. Mathematics Subject Classification – MSC2020: 62D10, 62H20

    Project Coding4Girls

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    Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, May, 2019В доклада са представени основните цели, задачи и дейности по проект Coding4Girsl, финансиран по програма Еразъм+.Association for the Development of the Information Society, Institute of Mathematics and Informatics Bulgarian Academy of Sciences, Plovdiv University "Paisii Hilendarski

    Distribution of The Boolean Functions of n Variables According to Their Algebraic Degrees

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    Knowledge on the enumeration and distribution of Boolean functions according to their algebraic degrees is important for the theory as well as for its applications. As of now, this knowledge is not complete; for example, it is well-known that half of all Boolean functions have a maximal algebraic degree. In this paper, a formula for the number of all Boolean functions of n variables and algebraic degree = k is derived. A direct consequence from it is the assertion (formulated already by Claude Carlet) that when n →∞, almost half of all Boolean functions of n variables have an algebraic degree = n−1. The results obtained by this formula were used in creating the sequence A319511 in the OEIS. The discrete probability of a random Boolean function having a certain algebraic degree is defined and the corresponding distribution is computed, for 3 ≤ n ≤ 10. Four applications are considered: at the design and analysis of efficient algorithms for exact or probabilistic computing the algebraic degree of Boolean functions; when checking 4 test files for representativeness; when creating benchmark files of Boolean functions

    The IQ of Artificial Intelligence

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    All it takes to identify the computer programs which are Artificial Intelligence is to give them a test and award AI to those that pass the test. Let us say that the scores they earn at the test is called IQ. We cannot pinpoint a minimum IQ threshold that a program has to cover in order to be AI; however, we will choose a certain value. Thus, our definition for AI will be any program whose IQ is above the chosen value. While this idea has already been implemented in [3], here we will revisit this construct in order to introduce certain improvements

    Recent Developments of the Methodology of the Modified Method of Simplest Equation with Application

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    [Vitanov Nikolay K.; Витанов Николай К.]We discuss an extension of the modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations. The extension includes the possibility for use of: (i) more than one simplest equation; (ii) relationship that contains as particular cases the relationship used by Hirota [1] and the relationship used in the previous version of the methodology; (iii) transformation of the solution that contains as particular case the possibility of use of the Painleve expansion; (iv) more than one balance equation. The discussed version of the methodology allows: obtaining multi-soliton solutions of nonlinear partial differential equations if such solutions do exist and obtaining particular solutions of nonintegrable nonlinear partial differential equations. Examples for the application of the methodology are discussed. 2010 Mathematics Subject Classification: 35E20

    Existence of Classical Solutions of Linear Non-Cooperative Elliptic Systems

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    [Boyadzhiev G.; Бояджиев Г.]; [Kutev N.; Кутев Н.]2010 Mathematics Subject Classification: 35J47, 35J57

    CNN Modeling of a Class of Integro-Differential Equations

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    [Slavova Angela; Славова Анжела]; [Zafirova Zoya; Зафирова Зоя]In this paper we study a class of integro-differential equations. First we present Cellular Nonlinear Networks (CNN) modeling of integro-differential equations. We map the equation under consideration into CNN architecture and study its dynamics. Applying harmonic balance method we obtain periodic solutions of the model. We provide numerical simulations which illustrate the obtained theoretical results. 2010 Mathematics Subject Classification: 92B20, 35B10, 35Q68, 35Q92

    Естетически визуални аспекти при дигиталното презентиране на КИН

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    Всички сериозни теоретични изследвания в областта на комуникацията показват, че под въздействие на световните процеси на глобализация, информацията все повече се визуализира и иконизира. Младите хора комуникират използвайки цялата широка палитра на възможности, които ни предоставя дигиталната техника и интернет. Ние прекарваме голяма част от времето си във виртуалното пространство. Всичко изглежда измамно лесно - всеки за броени минути може да качи информация, която става бързо достояние в целия свят. Дори малките деца боравят като експерти с компютърната техника. В същото време болшинството участници в тази комуникация имат съществен дефицит по отношение визуалната грамотност. Дори специалистите често пренебрегват езика на форми, цветове и композиционна организация на пространството, който изисква сериозна подготовка, обучение и непрекъсната специализация. В световен мащаб не липсват добри примери, но за съжаление те все още не са достояние на културната общественост у нас. Докладът повдига редица въпроси и проблеми за дискусия и се опитва да насочи вниманието към възможните пътища на решение.All serious theoretical research in the field of communication shows that, under the influence of global processes of globalization, information is increasingly visualized and iconized. Young people communicate using the wide range of opportunities provided by digital technology and the Internet. We spend a lot of our time in the virtual space. Everything seems fraudulently easy - everyone in minutes can upload information that is rapidly becoming available worldwide. Even small children handle as computer technicians. At the same time, the majority of participants in this communication have a substantial deficiency in visual literacy. Even specialists often ignore the language of forms, colors and compositional organization of space, which requires serious preparation, training and continuous specialization. Worldwide there are no good examples, but unfortunately they are not yet available to the cultural community in our country. The report raises a number of questions and issues for discussion and tries to draw attention to possible ways of solution

    Обычаи и обряды регионов Узбекистана

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    В данной статье речь ведётся о том что в Пскентском, Букинском районах Ташкентской области существовали своеобразные обряды, люди этих местностей занимались ремесленничеством, ткачеством, рукоделиям, животноводством и они создали древние песни связанные с этими явлениями, различных мероприятие пели фольклорные песни и они переходив из поколения в поколение способствовали приобщению людей к красоте искусства пения.The given article deals with the fact that in the Pskent and Buka districts of the Tashkent region there were unique rituals, people of these localities were engaged in handicraft, weaving, needlework, animal husbandry and they created ancient songs associated with these phenomena, various events were sung by folklore songs and they passed from generation to generation contributed to the familiarization of people to beauty

    Възрожденски учебници от старопечатната сбирка на читалище "Надежда-1869"

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    Обект на изследването са 45 учебника, издадени от 1835 г. до 1875 г., съхранявани в старопечатната сбирка на читалище "Надежда-1869". Техните автори са 17 учители, които пишат, превеждат и издават първите български учебници през ХIХ век. Те са журналисти и пишат първите вестници и списания. Те повеждат борбата за новобългарска просвета, църковна независимост и политическа свобода. Те реформират образованието и на мястото на килийното, изграждат светското. Те са новатори, въвеждат нови учебни дисциплини, езици в крак с потребностите на новото време. В изложението са представени първите учебници по български език, читанки, граматики, аритметики, геометрии, физики. Има учебници по история, география, естествена история. Запазени са логики, учебници по нравоучение, учебници и речници по френски и немски език, свещени православни катехизиси. Статията представя историята и развитието на учебното дело в българските училища през ХIХ в.The subject of the study was 45 textbooks, published from 1835 to 1875 were preserved in the old-fashioned collection of the centre community "Nadejda-1869". Their authors are 17 teachers who wrote, translated and published first Bulgarian textbooks in the XIX-th century. They are journalists writing the first newspapers and magazines. They lead the struggle for new Bulgarian education, church independence and political freedom. They reform the education and the place of the cell, they build the secular. They are innovators, they introduce the study of new school subjects and languages according to the needs of the time. The text presents first textbooks in Bulgarian language, readings and grammar, arithmetics, geometry and physics. They are textbooks on history, geography, textbooks of natural history. Were preserved textbooks of logic, textbooks of moral and textbooks and dictionaries in French and German, sacred Orthodox catechisms. The article presents the history and development of the curriculum in Bulgarian schools in the ХIX c

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