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Mathematics and Informatics

 

1. Name of the Institute

 Mathematics and Informatics

2. Name of the researcher(s) and research group (if applicable)

 Dr. habil. István Blahota, Dr. Erik Bajalinov CSc, Dr. habil. Károly Nagy and Dr. Rodolfo Toledo

3. Research area and keywords of research

 Dyadic harmonic analysis and applications

4. Research objectives (in 1-2 sentences)

 Approximation theory with respect to series based on systems formed by piecewise constant functions as Walsh and Vilenkin systems, Walsh-Kaczmarz system, the characters of 2-adic integers and representative product systems.

5. Description and results of research (in detail, max. 1500 characters)

 Approximation theory with respect to series based on systems formed by piecewise constant functions as Walsh and Vilenkin systems, Walsh-Kaczmarz system, the characters of 2-adic integers and representative product systems. These systems have a wide applications in areas ranging from the field of communication to the area of systems and control as well as digital signal processing. Recently, we apply Walsh-Fourier series to solve differential equations numerically and to analyse seasonal time series. The website of the group: http://zeus.nyf.hu/~dyadic/.

6. Research partners from other institutions (if any)

 The research team is in close contact with ELTE, IK, Department of Numerical Analysis, DE, Department of Analysis, Department of Mathematics. The research team has extensive international contacts, which has resulted in nearly 30 publications with foreign authors. International connections: Ushangi Goginava (Ivane Javakhishvili Tbilisi State University, Georgia), Giorgi Tephnadze (The University of Georgia, Tbilisi, Georgia), Nacima Memic (University of Sarajevo, Sarajevo, Bosnia and Herzegovina), Radomir Stankovic (University of Nis, Serbia), Mohamed Salim (United Arab Emirates University, Al Ain, UAEU), Lars-Erik Persson (Luleå University of Technology, Luleå, Sweden). Most of the above-mentioned scientists were invited to the University of Nyíregyháza on several occasions.

7. Other information (if any)

 Projects:

- "International research in dyadic analysis and related topics, solutions in the digital world" (2012-2014), TÁMOP-4.2.2.A-11/1 /KONV-2012-0051. (https://daproject.nyf.hu/)

 

- "Research on osteosynthesis of implants and development of trabecular structure using Additive Manufacturing", (2017-2021) GINOP-2.2.1-15-2017-00055. Head of Consortium: Varinex Zrt.

8. Publications (max. 5)

 The research group has been achieved numerous internationally recognized results, appeared in leading international mathematical journals such as Journal of Approximation Theory, Studia Mathematica and so on. There has been more than 150 papers written by the members of the research group.

 

1. Name of the Institute

 Mathematics and Informatics

2. Name of the researcher(s) and research group (if applicable)

Dr. Falucskai János

3. Research area and keywords of research

quasi codes

4. Research objectives (in 1-2 sentences)

Investigation of decipherability of codes. We defined "quasi codes", which is a new interpretation of codes: a code word is the set of sequances of symbols.

5. Description and results of research (in detail, max. 1500 characters)

Investigation of decipherability of codes. We defined "quasi codes", which is a new interpretation of codes: a code word is the set of sequances of symbols.

6. Research partners from other institutions (if any)

 

7. Other information (if any)

 

8. Publications (max. 5)

 

 

 

1. Name of the Institute

 Mathematics and Informatics

2. Name of the researcher(s) and research group (if applicable)

Dr. Iszály György Barna

3. Research area and keywords of research

Applied informatics, SAT problem solving

4. Research objectives (in 1-2 sentences)

SAT problem solving by Counting the Subsumed Full Length Ordered Clauses

5. Description and results of research (in detail, max. 1500 characters)

SAT problem solving by Counting the Subsumed Full Length Ordered Clauses

6. Research partners from other institutions (if any)

Dr. Kusper Gábor, Eszterházy Károly Egyetem, Eger
Bíró Csaba, Eszterházy Károly Egyetem, Eger

7. Other information (if any)

 

8. Publications (max. 5)

  1. Kusper, Gábor ; Iszály, György Barna ; Bednarik, László A SAT probléma megoldása CSFLOC algoritmussal Java8 Stream API használatával (2018) [konferencia előadás], Networkshop, Eger, 2018. április 4-6., Megjelenés: Magyarország, Közlemény:3356124
  2.  Kusper, Gábor ; Biró, Csaba ; Iszály, György Barna SAT solving by CSFLOC, the next generation of full-length clause counting algorithms In: IEEE (szerk.) 2018 IEEE International Conference on Future IoT Technologies, Future IoT 2018, Piscataway (NJ), Amerikai Egyesült Államok : IEEE, (2018) Paper: 8325589 , 9 p. DOI Kiadónál Közlemény:3387695

 

 

 

 

1. Name of the Institute

 Mathematics and Informatics

2. Name of the researcher(s) and research group (if applicable)

Dr. Iszály György Barna

3. Research area and keywords of research

Applied informatics, IoT and smarty city

4. Research objectives (in 1-2 sentences)

How we can use IoT devices and mobile phones to increase the efficiency of energy usage and optimizing the traffic and other possibilities in a smart city

5. Description and results of research (in detail, max. 1500 characters)

How we can use IoT devices and mobile phones to increase the efficiency of energy usage and optimizing the traffic and other possibilities in a smart city

6. Research partners from other institutions (if any)

 

7. Other information (if any)

 

8. Publications (max. 5)

Iszály, György Barna ; Falucskai, János Smart City és Big Data pp. 53-66. , 14 p. In: Nagy, Zsolt (szerk.) A „SMART CITY” FEJLESZTÉSEKHEZ KAPCSOLÓDÓ SZOLGÁLTATÁSI KONCEPCIÓ Nyíregyháza, Magyarország : Nyíregyházi Főiskola, (2015) p. 28, Közlemény:3121541

 

 

1. Name of the Institute

 Mathematics and Informatics

2. Name of the researcher(s) and research group (if applicable)

Dr. Iszály György Barna

3. Research area and keywords of research

Applied informatics, Mobile phone, Android

4. Research objectives (in 1-2 sentences)

The possibilities of usage of the mobile phones – exactly the Android operating system - in the education

5. Description and results of research (in detail, max. 1500 characters)

The possibilities of usage of the mobile phones – exactly the Android operating system - in the education

6. Research partners from other institutions (if any)

 

7. Other information (if any)

 

8. Publications (max. 5)

NYEAPP - https://play.google.com/store/apps/details?id=hu.nyf.nyfapp

 

 

 

 

1. Name of the Institute

 Mathematics and Informatics

2. Name of the researcher(s) and research group (if applicable)

Tanyiné Dr. Kocsis Anikó

3. Research area and keywords of research

Information Retrieval, Business Information Retrieval, Digital Competencies, Dangers of the Internet and Social Networking

4. Research objectives (in 1-2 sentences)

Information Retrieval, Business Information Retrieval, Digital Competencies, Dangers of the Internet and Social Networking

5. Description and results of research (in detail, max. 1500 characters)

Information Retrieval, Business Information Retrieval, Digital Competencies, Dangers of the Internet and Social Networking

6. Research partners from other institutions (if any)

 

7. Other information (if any)

 

8. Publications (max. 5)

MTMT - https://m2.mtmt.hu/gui2/?type=authors&mode=browse&sel=10049310)

 

 

 

 

1. Name of the Institute

 Mathematics and Informatics

2. Name of the researcher(s) and research group (if applicable)

Dr. Bajalinov Erik

3. Research area and keywords of research

Seasonal time series analysis

4. Research objectives (in 1-2 sentences)

Using Operations research tools to find such an optimized
transformation which results more accurate forecast than
the main stream classical methods.  

5. Description and results of research (in detail, max. 1500 characters)

During our previous investigations we have shown that the
Walsh-transform can be fruitfully applied when forecasting
for seasonal time series.
The main idea of current research is that there must exist at
least one (or infinite number?)
other type of transformation which lead to more attractive results. 

6. Research partners from other institutions (if any)

Duleba Sz. Budapes, Budapest University of Technology and
Economics.

7. Other information (if any)

 

8. Publications (max. 5)

  1. Bajalinov, E., Duleba, Sz.: „On a time series forecasting
    method based on Walsh 
    transform”, Proceeding of the 20th Conference of the
     International Federation of Operational Research Societies,
    Barcelona, 2014
  2. Bajalinov, E., Sz. Duleba, Sz.: „A Walsh-transzformáción 
    alapuló módszer az idősorok ellemzéséhez”,
    Szigma, XLVI, 2015
  3. Bajalinov, E., Duleba, Sz., et al.: Matematikai Módszerekkel
    Támogatott Integrált Szervezetfejlesztési Rendszer
    Megalkotása”, Budapest, 2015
    (Design and Implementation of  Integrated Enterprise  
    Development System Supported by Mathematical Methods)
  4. Bajalinov,E., „On the Optimized Polynomial Smoothing 
    Approach to the Seasonal Time Series Analysis”. Proceeding of the 17th International Conference on Operational Research, KOI 2018, Croatia, Zadar, September 26-28, 2018.
  5. Bajalinov, E., Duleba, Sz., „Seasonal Time Series Forecasting By The Walsh-Transformation Based Technique”, Central European Journal of Operational Research, 2019, March, pp.:1-19. 

 

 

 

 

 

1. Name of the Institute

 Mathematics and Informatics

2. Name of the researcher(s) and research group (if applicable)

Iszály Ferenc Zalán:

3. Research area and keywords of research

’Electronic library services in the 21th century’

4. Research objectives (in 1-2 sentences)

The most commonly used, integrated Hungarian computer library systems (Aleph, Corvina, HunTéka) were presented, examined and analyzed comparatively

5. Description and results of research (in detail, max. 1500 characters)

The most commonly used, integrated Hungarian computer library systems (Aleph, Corvina, HunTéka) were presented, examined and analyzed comparatively. Specifically, Hungarian county libraries and higher education libraries with American University libraries were examined, compared and analyzed. The focus was on integrated library systems and electronic services – online catalogues, databases, online services, e-books, e-journals, e-learning, e-administration, digital exhibitions, etc. Further, the possible role of mobile libraries and the Internet in the realization of equal opportunities was studied. The characteristics of the Hungarian and some Western-European mobile library services were examined, too.

6. Research partners from other institutions (if any)

 

7. Other information (if any)

 

8. Publications (max. 5)

 

 

 

1. Name of the Institute

 Mathematics and Informatics

2. Name of the researcher(s) and research group (if applicable)

Dr. Szerafinné Dr. Szabolcsi Ágnes

3. Research area and keywords of research

Cultural History, Information Retieval

4. Research objectives (in 1-2 sentences)

Research activity in Cultural  Diplomatic and Civilisation Research group where I published my PhD thesis, and later a monography

5. Description and results of research (in detail, max. 1500 characters)

Research activity in Cultural  Diplomatic and Civilisation Research group where I published my PhD thesis, and later a monography

6. Research partners from other institutions (if any)

 

7. Other information (if any)

 

8. Publications (max. 5)

  1. A multimédia felhasználásának lehetőségei a Nyíregyházi Főiskola informatikus könyvtáros BA képzésében./ Tanyiné Kocsis Anikó, Szerafinné Szabolcsi Ágnes. Elhangzott a „Multimédia az oktatásban 2010.” Nemzetközi Konferencián, Nyíregyháza, 2010. július 8-9. In: "Multimédia az oktatásban 1995-2010, MMO v 16.0 / szerk. Dr. Berke József, ISBN: 978-615-5036-04-0/" DVD alapú lektorált konferencia kiadvány on-line változata.  (http://www.mmo.njszt.hu/Kiadvanyok/2010/index_2010.htm )
  2. Az online információkeresés kurzus  oktatási tapasztalatai a Nyíregyházi Főiskolán / Szerafinné Szabolcsi Ágnes. In: A könyvtártörténettől a jövő internetéig: Tanulmányok a 70 éves Bényei Miklós köszöntésére / szerk. Boda István. Debrecen: Debreceni Egyetemi Kiadó, 2013. p.46-54. ISBN 978-963-318-355-7 (www.inf.unideb.hu/~bodai/pub/BMkotet-extract.pdf‎)
  3. Vállalkozói információs rendszer kialakítása a társadalmi versenyképesség  növelésére. /Tanyiné Kocsis Anikó, Szerafinné Szabolcsi Ágnes. In: Az 5. Báthory-Brassai Konferencia Tanulmánykötetek: Tanulmányok, publikációk és előadások az 5. Báthory-Brassai Konferencia programjából, 2.rész. Budapest: Óbudai Egyetem, 2014. p.503-511. ISBN 978-615-5460-38-8 (http://www.bbk.alfanet.eu/index.php?module=staticpage&id=220&lang=1)
  4. A pedagógiai információszerzés elektronikus forrásai: referensz és forrásadatbázisok / Szerafinné Szabolcsi Ágnes In: Az 6. Báthory-Brassai Nemzetközi Multidiszciplináris Konferencia Tanulmánykötetek: Tanulmányok, publikációk és előadások az 6. Báthory-Brassai Konferencia programjából, 2.rész. Budapest: Óbudai Egyetem, 2015. p 161-169. ISBN  978-615-5460-38-5 (http://www.bbk.alfanet.eu/index.php?module=staticpage&id=227&lang=1)
  5. Az információszerzési szokások változásai az Y és a Z generáció körében /Szerafinné Szabolcsi Ágnes. In: A 7. Báthory-Brassai Nemzetközi Multidiszciplináris Konferencia: Kárpát-medencei versenyképesség. Tanulmánykötetek, Budapest. Óbudai Egyetem, 2016.május 19-20. Szerk: Rajnai Zoltán et.al. Budapest : Óbudai Egyetem, 2016. 2 k. p. 363- 372. ISBN: 978-615-5460-97-5,  MTMT azonosító: 3127535 (http://www.bbk.alfanet.eu/index.php?module=staticpage&id=244&lang=1)

 

 

1. Name of the Institute

 Mathematics and Informatics

2. Name of the researcher(s) and research group (if applicable)

Prof. Dr. Dömösi Pál:

3. Research area and keywords of research

Symmetric Cryptosystems Based on Finite Automata

4. Research objectives (in 1-2 sentences)

The mainstream of this Research is to develop symmetric block ciphers and also symmetric stream ciphers based on automata theory.

5. Description and results of research (in detail, max. 1500 characters)

This subject is a part of the Research work of Computer Science Research Group.  Prof Emeritus Pál Dömösi and his colleagues, Assoc. Prof.  Géza Horváth (Debrecen University) and  Assist. Prof. Carolin Hannusch (Debrecen University) work together in this research project in the last 5 years.  The mainstream of this Research is to develop symmetric block ciphers and also symmetric stream ciphers based on automata theory.

6. Research partners from other institutions (if any)

Géza Horváth (Debrecen University)

Carolin Hannusch (Debrecen University)

7. Other information (if any)

 

8. Publications (max. 5)

  1. Pál, Dömösi ; Géza, Horváth: A novel cryptosystem based on abstract automata and Latin cubes, STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA 52 : 2 pp. 221-232. , 12 p. (2015) DOI DEA WoS
  2. Dömösi, Pál ; Horváth, Géza: A Novel Cryptosystem Based on Gluskov Product of Automata, ACTA CYBERNETICA 22 : 2 pp. 359-371. , 13 p. (2015) DOI DEA WoS
  3. Pál, Dömösi ; József, Gáll ; Géza, Horváth ; Norbert, Tihanyi: On NIST Test of a Novel Cryptosystem Based on Automata Compositions
    In: Andrej, Brodnik (szerk.) Middle-European Conference on Applied Theoretical Computer Science (MATCOS 2016) : Proceedings of the 19th International Multiconference INFORMATION SOCIETY - IS 2016 [Zbornik 19. mednarodne multikonference INFORMACIJSKA DRUŽBA - IS 2016] Ljubljana, Szlovénia : Institut Jožef Stefan, (2016) pp. 24-27. , 4 p. DEA DEA
  4. Pál, Dömösi ; József, Gáll ; Géza, Horváth ; Norbert, Tihanyi: Statistical Analysis of DH1 Cryptosystem, ACTA CYBERNETICA 23 : 1 pp. 371-378. , 8 p. (2017) DOI DEA WoS
  5. Pál, Dömösi ; Géza, Horváth: A Novel Stream Cipher Based on Deterministic Finite Automaton pp. 11-16. , 6 p.
    In: R, Freund; F, Mráz; D, Prusa (szerk.) Ninth Workshop on Non-Classical Models of Automata and Applications (NCMA 2017), Short Papers Wien, Ausztria : Technical University of Vienna, (2017) DEA

 

 

1. Name of the Institute

 Mathematics and Informatics

2. Name of the researcher(s) and research group (if applicable)

Mathematics Education Research Group: Dr. Kovács Zoltán, Cecília Sitkuné,

3. Research area and keywords of research

mathematical didactic research, problem-solving, problem-based learning

4. Research objectives (in 1-2 sentences)

The main area of ​​didactic research is currently on mathematical problem-solving, problem-based learning and ICT-supported mathematics

5. Description and results of research (in detail, max. 1500 characters)

The traditions of mathematics research is related to curriculum development and textbook writing. Presently,  Zoltán Kovács and Cecília Sitkuné form the mathematical research group. On the one hand, they continue their curriculum development activities and on the other hand they do mathematical didactic research. The main area of ​​didactic research is currently on mathematical problem-solving, problem-based learning and ICT-supported mathematics. 

 

6. Research partners from other institutions (if any)

 

7. Other information (if any)

 

8. Publications (max. 5)

 

 

 

1. Name of the Institute

 Mathematics and Informatics

2. Name of the researcher(s) and research group (if applicable)

Research group in Computer Science: Dr. Pál Dömösi DSc, János Falucskai PhD, Sándor Vályi PhD

3. Research area and keywords of research

formal languages and automata and computer science

4. Research objectives (in 1-2 sentences)

 

5. Description and results of research (in detail, max. 1500 characters)

The scientific activities of Prof. Dömösi, in addition to the products of automatic machines, algorithmic and combinatorial properties of formal languages, also cover the analysis of symmetric encryption systems in recent years. Falucskai’s activities in formal languages are mainly related to studies on decomposition of codes. One of the research areas of Sándor Vályi is connected to that of the research of Prof. Dömösi, the validation of cryptographic protocols. His main research topic is language decidability by interval-valued computations. Their results: 147 publications (according to mtmt.hu, May of 2019). 3 students of Prof. Dömösi received PhD degree. Falucskai and Vályi have written jointly 6 electronical lecture notes and interactive web courses in several computer science and programming topics.

6. Research partners from other institutions (if any)

Masami Ito, Kyoto Sangyo University

Benedek Nagy (Eastern Mediterranean University, Cyprus). 

7. Other information (if any)

 

  1. 8. Publications (max. 5)
  1. TÉT_10-1-2011-0048, “Context-free languages and stack automata” (2010-2012), professional leader: Prof. Dömösi. 
    TÁMOP-4.1.2-08 / 1 / A-2009-0046 Eastern Hungarian Informatics Curriculum, in the framework of a tender with Pál Dömösi and János Falucskai, together with 3 other authors, made a university note entitled Formal Languages and Automata (p. 218). 
  2. János Falucskai and Sándor Vályi participated in the development of the Distance Learning Center in the EFOP-3.4.3-16-2016-00018 (2017-2018) project.
  3. P. Takács and S. Vályi, “An extension of protocol verification modal logic to multi-channel-protocols,” TATRA MOUNTAINS MATHEMATICAL PUBLICATIONS, vol. 41, pp. 153–166, 2008.
  4. B. Nagy and S. Vályi, “Solving a PSPACE-complete problem by a linear intervalvalued computation,” in Logical Approaches to Computational Barriers, 2006, pp. 216–225.
  5. B. Nagy and S. Vályi, “A Shift-free Characterization of NP within Interval-valued Computing,” FUNDAMENTA INFORMATICAE, vol. 155, no. 1–2, pp. 187–207, 2017.

 

 

2016, Nyiregyhaza