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12th International Scientific and Technical Conference on Computer Sciences and Information Technologies (CSIT)

作者： Dragan, Yaroslav Droniuk, Ivanna LPNU Dept Software ICSIT Lvov Ukraine LPNU Dept Automated Control Syst ICSIT Lvov Ukraine

ISBN: (纸本)9781538616390

There is given the grounding of possibility to use ateb-functions for solving special communication problems in terms of the convolution *-algebras formalism in which the multiplication is defined by means of hypergroups of generalized shift operators introduced to mathematics by J. Delsarte in 1956 [17]. As it has been shown in 1972 (see [3]), defined by such hypergroup convolution carries on obvious way to Parseval's theorem and accomplishment by time component for the systems and signals analysis. Application of this fact to the case of ateb-basis signifies the complishment of mathematical instrumentation of analysis on the base of ateb-functions. The exposition is argumented by historical facts and quotations concerning to the problem in question. This material confirms the necessity for applying of renewed system analysis in each case to take into account changed situation under grounding the mathematical model used in the problem to be solved and choice of an adequate method for this.

关键词： scientific problem variantness classes generalized shift operatosr hypergroups ateb-functions

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Data Protection Based on Encryption Using ateb-functions 11

Data Protection Based on Encryption Using Ateb-Functions

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13th International Scientific and Technical Conference Computer Sciences and Information Technologies (CSIT)

作者： Nazarkevych, Mariya Oliarnyk, Roman Troyan, Oksana Nazarkevych, Hanna Lviv Polytech Natl Univ Dept Informat Technol Publishing Lvov Ukraine Taras Shevchenko Natl Univ Kyiv Fac Cybernet Kiev Ukraine

ISBN: (纸本)9781509027392

A method of protecting information using poligraphy encryption tools based on ateb-functions what was created as thin lines. The basic requirements for cryptosystems were showed. The main methods of encryption were analysed. The analysis of major attacks on protected information was realised. Encryption was carried out in stages. Aperiodic ateb-function were used to create keys.

关键词： security printing method of protection securities ateb-functions printed and electronic document

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Information Protection Based on the Theory of ateb-functions

Information Protection Based on the Theory of Ateb-Functions

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18th Conference on Computer Networks (CN 2011)

作者： Dronjuk, Ivanna Nazarkevych, Mariya Myroniuk, Oleksandra Lviv Natl Polytech Univ Inst Comp Sci Automated Control Syst Dept Lvov Ukraine

The authors developed a new data protection method, which is based on the theory of ateb functions. This method can be employed for protecting financial documents such as banknotes and securities in general. The prote... 详细信息

ISBN: (纸本)9783642217708

关键词： information protection ateb-functions protection securities

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Gabor Filters Generalization Based on ateb-functions for Information Security 5th

Gabor Filters Generalization Based on Ateb-Functions for Inf...

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5th International Conference on Man-Machine Interactions (ICMMI)

作者： Dronyuk, Ivanna Nazarkevych, Maria Poplayska, Zhanna Lviv Polytech Natl Univ Lvov Ukraine

ISBN: (纸本)9783319677927;9783319677910

The generalisation of one- and two-dimensional Gabor filters on the basis of periodic ateb-functions were constructed. These filters can be applied with two additional parameters. Some properties of periodic ateb-functions were shown. Through variation of the parameters the generalized filter can be more adapted to the type of images. The investigation of generalized filters shows the magnification image processing features for strengthening of information security in documents protection.

关键词： Gabor filters ateb-functions Image processing Visualization Gabor filters generalization Document protection

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The Method of Encryption based on ateb-functions 1

The Method of Encryption based on Ateb-Functions

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1st IEEE International Conference on Data Stream Mining and Processing (DSMP)

作者： Nazarkevych, Mariya Oliiarnyk, Roman Nazarkevych, Hanna Kramarenko, Olga Onyshschenko, Igor Lviv Polytech Natl Univ S Bandera 12 UA-79013 Lvov Ukraine Taras Shevchenko Natl Univ Kyiv Cybernet Fac 4d Academician Glushkov Ave UA-03680 Kiev Ukraine

ISBN: (纸本)9781509037360

In this paper we propose a method of cryptographic protection of information which is based on encrypting blocks. The threats that mostly influence the loss of information are analyzed, therefore, one of the potential threats to information in information systems should be considered accidental or deliberate destructive actions of staff. Block cipher, which is based on certain key, is built. The essence of this method is to replace the original text information in a file to an encrypted offset by a nonlinear law based on tabulated value of hyperbolic ateb-functions. The method of playback of encrypted information without loss is developed. Experiments confirming cipher strength are carried out.

关键词： cryptographic protection ateb-functions information protection

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Data Protection Based on Encryption Using ateb-functions

Data Protection Based on Encryption Using Ateb-Functions

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International Scientific and Technical Conference on Computer Science and Information Technologies

作者： Mariya Nazarkevych Roman Oliarnyk Oksana Troyan Hanna Nazarkevych Department of Information Technology Publishing Lviv Polytechnic National University Faculty of Cybernetics Taras Shevchenko National University of Kyiv

ISBN: (纸本)9781509027415

关键词： Security printing Method of protection Securities ateb-functions Printed and electronic document

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Algorithms for Calculating Generalized Trigonometric functions

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ALGORITHMS 2025年第2期18卷 60-60页

作者： Dronyuk, Ivanna Jan Dlugosz Univ Czestochowa Math & Informat Dept Waszyngtona Str 4-8 PL-42217 Czestochowa Poland

In this paper, algorithms for calculating different types of generalized trigonometric and hyperbolic functions are developed and presented. The main attention is focused on the ateb-functions, which are the inverse functions to incomplete Beta-functions. The ateb-functions can generalize every kind of implementation where trigonometric and hyperbolic functions are used. They have been successfully applied to vibration motion modeling, data protection, signal processing, and others. In this paper, the Fourier transform's generalization for periodic ateb-functions in the form of ateb-transform is determined. Continuous and discrete ateb-transforms are constructed. Algorithms for their calculation are created. Also, ateb-transforms with one and two parameters are considered, and algorithms for their realization are built. The quantum calculus generalization for hyperbolic ateb-functions is constructed. Directions for future research are highlighted.

关键词： ateb-functions algorithms generalization of hyperbolic functions numerical methods tabulation of ateb-functions generalization of Fourier transform calculation of ateb-transforms q-ateb-functions

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Traffic Flows ateb-Prediction Method with Fluctuation Modeling Using Dirac functions 24th

Traffic Flows Ateb-Prediction Method with Fluctuation Modeli...

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24th International Conference on Computer Networks (CN)

作者： Dronyuk, Ivanna Fedevych, Olga Lviv Polytech Natl Univ 12 Bandera St Lvov Ukraine

ISBN: (纸本)9783319597676

In this paper a mathematical model for predicting traffic in computer networks based on heterogeneous differential equations describing the oscillatory motion was proposed. It is suggested that the solution to the equation should be modified on the basis of the sum of Dirac functions which have different arguments at different points of time to simulate bursts of network traffic. Based on this model, the software implementing network monitoring and forecasting of traffic on the network on the grounds of mathematical calculations and collected data was developed. Testing of models based on real network data from LPNU ACS Department was presented. Also, the simulation results have been compared with real traffic data. The results are illustrated in the form of both tables and plots.

关键词： Dirac functions ateb-functions Traffic modeling Traffic monitoring and analysis

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Development of printed packaging protection technology by means of background nets

Development of printed packaging protection technology by me...

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10th International Conference on the Experience of Designing and Application of CAD Systems in Microelectronics

作者： Dronyuk, Ivanna Nazarkevych, Mariya Lviv Polytech Natl Univ UA-79013 Lvov Ukraine

ISBN: (纸本)9789531841306

technology of printed packing protection or commodities is developed on the basis of background nets imposition on the packing model which create a continuous structure and are built on the basis of mathematical formulas of ateb-functions theory. The entered formulas are the solutions for differential equations that enable flexible change of curve shape.

关键词： packaging background nets Bezier curves ateb-functions

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Investigation the ateb-Gabor Filter in Biometric Security Systems 2

Investigation the Ateb-Gabor Filter in Biometric Security Sy...

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2nd IEEE International Conference on Data Stream Mining and Processing (DSMP)

作者： Nazarkevych, Mariya Klyujnyk, Ivanna Nazarkevych, Hanna Lviv Polytech Natl Univ Lvov Ukraine Lviv Polytech Natl Univ Tech Coll Lvov Ukraine Shevchenko Natl Univ Kyiv Fac Cybernet Taras Kiev Ukraine

ISBN: (纸本)9781538628744

Biometric information security systems are analyzed. One of the most important characteristics is the high reliability, which corresponds to the ability of the system to distinguish between biometric characteristics that correspond to different people on also it is safe to find a match. To implement this, at the filtration stage, it is proposed to use the ateb-Gabor filter, which extends the usual filtering. With this filtering, you can improve the gradation characteristics of biometric models. The ateb-Gabor filter was constructed and studied, graphs of the new function and corresponding frequency graphs are presented. Filtration experiments are performed. The SNR filtration quality is estimated.

关键词： Image filtering ateb-Gabor filter ateb-functions

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