New Bounds for the Maximum Size of Ternary Constant Weight Codes

This work was partially supported by the Bulgarian National Science Fund under Grant I–618/96.Optimal ternary constant-weight lexicogarphic codes have been constructed. New bounds for the maximum size of ternary constant-weight codes are obtained. Tables of bounds on A3 (n, d, w) are given for d = 3, 4, 6

Development of New Solutions in the Field of Digitization and Digital Presentation of the National Folklore Heritage

This article briefly reviews the software developments for digital presentation and preservation of Bulgarian folklore treasure created within the project “Knowledge Technologies for Creation of Digital Presentation and Significant Repositories of Folklore Heritage” by teams of the Institute of Mathematics and Informatics.Contract IO-03/2006, Information Society Programme (leader: Assoc. Prof. Dr Galina Bogdanova), partly funding this article

Digitisation and Presentation of Historical Materials in a Virtual Exhibition ‘The Image of India in Bulgaria: from the late 19th to the late 20th Century’

The main contribution of this project is the study of collections of valuable documents related to the image of India in Bulgaria. Digital repositories of selected samples are constructed using modern information technologies. The results are presented in a virtual exhibition ‘The Image of India in Bulgaria: from the late 19th to the late 20th century’

Analyzing the Data in OLAP Data Cubes

* Supported partially by the Bulgarian National Science Fund under Grant MM-1405/2004OLAP applications provide a possibility to data analysis over large collections of historical data in the data warehouses, supporting the decision-making process. This paper presents an application that creates a data cube and demonstrates the effectiveness of the applying the OLAP operations when it necessary to analyze the data and obtain the valuable information from the data. It allows the analysis of factual data that is daily downloads of folklore materials, according to dimensions of interest

Tõkestamata intervallis ühtlaselt pidevad funktsioonid

Uniform continuity of real functions on unbounded intervals is not a compulsory topic in the basic analysis courses. In the course «Calculus III», the study of the uniform continuity is limited to Cantor’s theorem. The theorem states that if f : [a; b] ! R is a continuous function, then it is uniformly continuous. This result is essential for proving one of the central results of the integral calculus, which states that if a function f : [a; b] ! R is continuous, then it is integrable on [a; b]. We also know that if f : [a;1) ! R is continuous and limx!1 f(x) exists (as a real number), then f is uniformly continuous on the interval [a;1). The aim of this bachelor thesis is to characterize functions f : [a;1) ! R that are uniformly continuous on [a;1). This thesis consists of three chapters and is based on the articles by R. L. Pouso [4] and S. Djebali [1]. In the first chapter of this bachelor thesis, we discuss the definition of a uniform continuity and bring some examples of continuous functions that are not uniformly continuous. In this introductory chapter we use sequences to investigate uniform continuity.We provide an important proposition on the relation between uniformly continuous function and Cauchy sequences, which we will use for further proofs. The second chapter is devoted to examining uniformly continuous functions on unbounded intervals. We present conditions for a function f : [a;1) ! R to be uniformly continuious on an interval [a;1). Then we give an example that shows that the condition limx!1 jf(x)j x = 0 does not guarantee uniform continuity of the function f. At the end of the chapter, we show that if the graph of a function f has a horizontal or oblique asymptote then the function is uniformly continuous. In the third chapter, the relation between uniform continuity and convergence of improper integrals is studied.We examine unifom continuity of a function f : [a;1) ! R, for which improper integral R 1 a f(x)dx convergences. We also provide example of cases when uniform continuity of a function does not guarantee integral convergence

Digital Repository of Information and Knowledge - Fund “BellKnow”

The aim was to develop an archive containing detailed description of church bells. As an object of cultural heritage the bell has general properties such as geometric dimensions, weight, sound of each of the bells, the pitch of the tone as well as acoustical diagrams obtained using contemporary equipment. The audio, photo and video archive is developed by using advanced technologies for analysis, reservation and data protection

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

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

Development, Annotation and Protection of Digital Archive “Bulgarian Folklore Heritage”

The key to prosperity in today's world is access to digital content and skills to create new content. Investigations of folklore artifacts is the topic of this article, presenting research related to the national program „Knowledge Technologies for Creation of Digital Presentation and Significant Repositories of Folklore Heritage” (FolkKnow). FolkKnow aims to build a digital multimedia archive "Bulgarian Folklore Heritage” (BFH) and virtual information portal with folk media library of digitized multimedia objects from a selected collection of the fund of Institute of Ethnology and Folklore Studies with Ethnographic Museum (IEFSEM) of the Bulgarian Academy of Science (BAS). The realization of the project FolkKnow gives opportunity for wide social applications of the multimedia collections, for the purposes of Interactive distance learning/self-learning, research activities in the field of Bulgarian traditional culture and for the cultural and ethno-tourism. We study, analyze and implement techniques and methods for digitization of multimedia objects and their annotation. In the paper are discussed specifics approaches used to building and protect a digital archive with multimedia content. Tasks can be systematized in the following guidelines: * Digitization of the selected samples * Analysis of the objects in order to determine the metadata of selected artifacts from selected collections and problem areas * Digital multimedia archive * Socially-oriented applications and virtual exhibitions artery * Frequency dictionary tool for texts with folklore themes * A method of modern technologies of protecting intellectual property and copyrights on digital content developed for use in digital exposures

Digitization and 3D Scanning of Historical Artifacts

Protection and preservation of our cultural and literary historical and documentary heritage are particularly relevant today. The paper presents methods for creating digital resources of historical artifacts related to the Balkan war. Special attention is paid to the process of 3D scanning of objects. The methodology will be used in building an electronic archive and Virtual Museum.Project “Digital archive of documentary heritage of the Balkan Wars” – funded by the Bulgarian Fund for Scientific Research, more specifics at www-address: http://www.math.bas.bg/vt/balkanwars/balkanwars.ht