List of Publications: https://www.researchgate.net/profile/Prof_Walid_Tawfik2

Dr. Harish Garg associated with the School of Mathematics at Thapar Institute of Engineering & Technology Patiala, India as an Assistant Professor. Prior to joining this University, Dr. Garg received a PhD in Applied Mathematics with specialization of Reliability theory and soft computing techniques, from Indian Institute of Technology Roorkee, India in 2013 and an MSc in Mathematics from Punjabi University, Patiala, India in 2008. His research interest are in the field of Computational Intelligence, Multi-criteria decision making problems, Reliability theory, Optimization techniques, various nature inspired algorithms (e.g. genetic algorithms, swarm optimization), fuzzy and intuitionistic fuzzy set theory, Expert Systems. Application areas include wide range of industrial and structural engineering design problems. Garg has authored/co-authored over 117 technical papers published in refereed International Journals including Applied Intelligence, Applied Soft Computing, Experts Systems with Applications, Journal of Intelligent and Fuzzy Systems, Journal of Manufacturing Systems, Applied Mathematics & Computations, ISA Transactions, Computer and Industrial Engineering, IEEE Transactions on Emerging Topics in Computational Intelligence, Computer and Operations Research, International Journal of Uncertainty, Fuzziness and Knowledge-based Systems, Journal of Industrial and Management Optimization, International Journal of Intelligent Systems, Journal of Multiple Logic and Soft Computing, Japan Journal of Industrial and Applied Mathematics, and many more. He has published seven book chapters also. He also severs as an Editorial Board member of various International Journals. He is listed in International Who’s Who of Professionals, Marquis Who’s Who in the World, and Marquis Who’s Who in Science and Engineering. In the year 2016, Dr. Garg was awarded an awarded outstanding reviewer for the journal Applied Soft Computing, Elsevier. His google citations are over 1485. For more details, visit http://sites.google.com/site/harishg58iitr/

Research Interest: Fuzzy set theory; Soft Computing techniques; Decision making theory; Aggregation operators; Evolutionary algorithms; Expert  systems; Reliability theory and Reliability optimization.

List of Publications: 
https://sites.google.com/site/harishg58iitr/research/journals-publication

Xiaofeng Chen was born in 1980. He received the B.S. degree in Mathematics in 2003 and the M.S. degree in Applied Mathematics in 2006 both from Sichuan University, Chengdu, China. From July 2006 to now he is with Department of Mathematics, Chongqing Jiaotong University, Chongqing, China. His current research interest involves stability theory of complex-valued and quaternion-valued neural networks.

Research Interest: Global μ-Stability of Neural Networks; Stability of Iterative Neural Networks; Stability of Complex-Valued Neural Networks; Stability of Quaternion-Valued Neural Networks; Multistability of Complex-Valued Neural Networks; Stability of Fractional-Order Complex-Valued Neural Networks; Robust Stability of Quaternion-Valued Neural Networks; State Estimation for Quaternion-Valued Neural Networks

Research Interest: Medical Physics, Mathematical model

Research Interest: Statistics, Applied Probability, Spatial and Temporal Modelling, Time Series Analysis, Linear and Generalized Linear Models, Multivariate Statistical Analysis, Environmental Applications, Medicine Applications, Engineering Applications

No. of Publications (up-to-date): 31

Valentine Udoh James is a professor of environmental management, planning, and policy at Clarion University of Pennsylvania. James specializes in sustainable development and environmental sciences with particular emphasis on the environmental issues of developing countries. His current research focuses on the sustainability of the environmental/ecological systems of emerging nations. He is currently collaborating with several Chinese and African researchers at the Chinese Academy of Forestry, Beijing Forestry University, China Agricultural University, University of Ibadan, University of Ilorin, and the Nigerian Institute of Social and Economic Research (NISER). He served as provost and academic vice president at Clarion University from 2008-2011. At Fayetteville State University, he was dean of graduate studies from February to June, 2008 and dean of the College of Humanities and Social Sciences from August, 2004 to February, 2008. He has held tenure track/tenured positions at University of Louisiana, Lafayette; University of Virginia in Charlottesville; Southern University in Baton Rouge, where he served as the director of the PhD program in public policy and interim chair of the master’s degree program in public administration. He served as the director of African studies program at Kalamazoo College in Michigan. James has also worked for the United States Agency for International Development (USAID). Professor James has authored and edited fourteen books and several are forthcoming. He is the author of numerous scholarly articles in refereed journals and is the editor-in-chief of the Journal of Sustainable Development in Africa (JSDA) – an online journal he founded in 1998. He serves on the editorial boards of several scholarly journals, and he is often sought after to provide lectures and opinions on matters concerning development and environmental issues of developing countries. He is the recipient of scholarly awards such as the American Association for the Advancement of Science (AAAS) Diplomacy Fellowship; Fulbright–Hays Faculty Research Abroad Fellowship, and The University of California Presidential Fellowship. He has mentored and supervised Fulbright scholars from Afghanistan, Bahrain, Cameroon, China, India, Nigeria, Pakistan, Russia, South Africa, and Tanzania. In 1996, James organized an international conference on sustainable development in developing countries while he was on the faculty of the University of Virginia. In April of 2007, he planned the “First International Congress on Critical Perspectives on Energy, Environment, Technology and Water Development and Protection Worldwide.” The papers presented are forthcoming in the Journal of Global Development Studies and in a book. The following year, he organized the second such conference. Professor James holds a PhD in urban and regional science from Texas A&M University, an MA in environmental science from Governors State University (Illinois), and a BS in biology from Tusculum College (Tennessee). He also studied liberal arts at the American College of Rome. He speaks Italian and several African languages and has lived in and traveled to many countries in Europe, Africa, and Asia. Through his many professional collaborations, he has been instrumental in establishing study abroad programs with several foreign institutions. For more information, please visit: www.jsd-africa.com

Research Interest: International Sustainable Development and Planning, Involves Third World Development Planning; international development and sustainable environmental, economic and social development in less developed areas of the world. Indigenous systems of resource management with emphasis on agricultural and ecological systems of developing nations

No. of Publications (up-to-date): 30

Dr. Dong was born in 1969 at Dalian, China. He received his Ph.D. at Institute of High Energy Physics, Chinese Academy of Sciences, China, in 1999. After that, Dr. Dong joined the Physical Theoretical Chemistry Laboratory of University of Oxford as a Visiting Professor, Kansas State University as Postdoc Fellow, the National Autonomous University of Mexico as Visiting Professor, the Mexican Institute of Petroleum as Postdoc Fellow and Distinguished Visiting Professor, and the Superior School of Physics and Mathematics, National Polytechnic Institute (IPN) as full-time Professor through the program of excellent position, and he has a permanent position as Professor at IPN since 2007. He is the Regular Member of Mexican Academy of Sciences since 2012 and Visiting Professor at Louisiana State University in 2013. Dr. Dong was awarded the certificate by Pakistan president Mamnoon Hussain at 41th International Nathiagali Summer College in 2016. He received the maximum top prize “Presea Lazaro Cardenas” and was awarded by Mexico President Lic. Enrique Peña Nieto in President Palace in 2017.  

Dr. Dong is SNI III since 2019 and the (Academic, Chief) Editors and Editorial Board Members of over 15 International Journals. He has authored and co-authored more than 250 papers (JCR), one book Chapter, one edited Book, two Books published by Springer. The citations are more than 8300 and H-index 55 by Google Scholar.

Research Interest: Quantum Physics, Algebraic Method, Quantum Information

URL: https://www.cidetec.ipn.mx/

List of Publications:

1.    Xiao-Yan Gu and Shi-Hai Dong, Chapter “From Bohr-Sommerfeld semiclassical quantization rule to Qiang-Dong proper quantization rule” in Horizons in Physics World, Volume 272. ISBN: 978-1-61122-906-6, Nova Science Publishers, Inc. (2012).
2.    Shi-Hai Dong, Factorization Method in Quantum Mechanics, ISBN: 140-20-5795-4, Springer, Netherlands, 2007.
3.    Shi-Hai Dong, Wave Equations in High Dimensions, ISBN 978-94-007-1916-3, Springer, Netherlands, 2011.
4.    X. Y. Gu, F. Gatti, Shi-Hai Dong and J. Q. Sun
Special Issue: Symmetry and Group Theory and Its Application to Few-Body Physics in Advances in Mathematical Physics, Hindawi Publishing Corporation 2013.
5.    Shi-Hai Dong, Xi-Wen Hou, and Zhong-Qi Ma,
Relativistic Levinson theorem in two dimensions, Phys. Rev. A 58, 2160 (1998).
6.    Shi-Hai Dong, R. Lemus and A. Frank,
Ladder operators for the Morse potential, Int. J. Quan. Chem. 86, 433 (2002).
7.    Shi-Hai Dong , and Zhong-Qi Ma,
Non-relativistic Levinson's theorem in D dimensions, Phys. Rev. A. 65, 042717 (2002).
8.    X. Y. Gu, Z. Q. Ma and Shi-Hai Dong,
The Levinson theorem for the Dirac equation in D+1 dimensions, Phys. Rev. A 67(6), 062715(2003).
9.    Jiang Yu and Shi-Hai Dong,
Exactly solvable potentials for the Schrödinger equation with spatially dependent mass, Phys. Lett. A 325(3-4), 194(2004).
10.    Wen-Chao Qiang and Shi-Hai Dong,
Radial position-momentum uncertainties for the Dirac hydrogen-like atoms, Journal of Physics A 39, 8663 (2006).
11.    Wen-Chao Qiang and Shi-Hai Dong,
Analytical approximations to the solutions of the Manning-Rosen potential with centrifugal term, Phys. Lett. A 368, 13 (2007).
12.    Wen-Chao Qiang, Shi-Hai Dong,
Proper quantization rule, EPL 89, 10003 (2010).
13.    Gao-Feng Wei, Shi-Hai Dong,
Pseudospin symmetry in the relativistic Manning-Rosen potential including a Pekeris-type approximation to the pseudo-centrifugal term, Physics Letters B 686, 288 (2010).
14.    Jian Jing, Yu-Fei Zhang, Kang Wang, Zheng-Wen Long and Shi-Hai Dong,
On the time-dependent Aharonov-Bohm effect, Physics Letters B 774, 87 (2017).
15.    Wen-Chao Qiang, Guo-Hua Sun, Qian Dong, Shi-Hai Dong,
Genuine multipartite concurrence for entanglement of Dirac fields in noninertial frames,
Phys. Rev. A 98, 022320 (2018).
16.    Ariadna J. Torres-Arenas, Qian Dong，Guo-Hua Sun, Wen-Chao Qiang, and Shi-Hai Dong,
Entanglement measures of W-state in noninertial frames, Physics Letters B 789, 93 (2019).
17.    Jian Jing, Ling-Bao Kong, Qing Wang, and Shi-Hai Dong,
On the noncommutative Aharonov-Bohm effects, Phys. Lett. B. 808, 135660 (2020).
18.    Qian Dong, H. Iván García Hernández, Guo-Hua Sun, Mohamad Toutounji, and Shi-Hai Dong,
Exact solutions of the harmonic oscillator plus non-polynomial interaction, Proceeding of Royal Society A 476 (2241), 20200050 (2020).

Skype ID: dongsh9

Biography:

Liang Zhao (M’09–SM’11) received the B.S. degree from Wuhan University, Wuhan, China, and the M.Sc. and Ph.D. degrees from the Aeronautic Institute of Technology, São Paulo, Brazil, in 1988, 1996,  and 1998, respectively, all in computer science. He joined the University of São Paulo (USP) in 2000, where he is currently a Full Professor and Head of the Department of Computing and Mathematics (DCM). From 2003 to 2004, he was a Visiting Researcher with the Department of Mathematics, Arizona State University, Tempe. His current research interests include artificial neural networks, machine learning, complex networks, pattern recognition, and bioinformatics. Dr. Zhao is a recipient of the Brazilian Research Productivity Fellowship. He was an Associate Editor of the IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS from 2009 to 2012 and he is currently an Associate Editor of the NEURAL NETWORKS.

Research Interest: Artificial neural networks; Machine learning; Complex networks; Pattern recognitio and Bioinformatics

Loc Nguyen is an independent scholar from 2017. He holds Master degree in Computer Science from University of Science, Vietnam in 2005. He holds PhD degree in Computer Science and Education at Ho Chi Minh University of Science in 2009. His PhD dissertation was certificated by World Engineering Education Forum (WEEF) and awarded by Standard Scientific Research and Essays as excellent PhD dissertation in 2014. He holds Postdoctoral degree in Computer Science, certified by Institute for Systems and Technologies of Information, Control and Communication (INSTICC) in 2015. Now he is interested in poetry, computer science, statistics, mathematics, education, and medicine. He serves as reviewer and editor in a wide range of international journals and conferences from 2014. He is volunteer of Statistics Without Borders from 2015. He was granted as Mathematician by London Mathematical Society for Postdoctoral research in Mathematics from 2016. He is awarded as Professor by Scientific Advances and Science Publishing Group from 2016. He was awarded Doctorate of Statistical Medicine by Ho Chi Minh City Society for Reproductive Medicine (HOSREM) from 2016. He has published 71 papers and preprints in journals, books and conference proceedings. He is author of 2 scientific books and 1 postdoctoral dissertation. He is author and creator of 6 scientific and technological products.

Research Interest: optimization, applied mathematics

URL: http://www.locnguyen.net

Grants: Research Incentive Fund (RIF) Grant Activity Code: R19093– Zayed University, UAE.

List of Publications:
•    Amer, A. A., Abdalla, H. I., & Nguyen, L. (2021, February 10). Enhancing recommendation systems performance using highly-effective similarity measures. (J. Lu, E. A. Edmonds, & H. Fujita, Eds.) Knowledge-Based Systems, 217. doi:10.1016/j.knosys.2021.106842
•    Nguyen, L (2021, January 26). A general framework of particle swarm optimization. Preprints 2021, 2020100550 (doi: 10.20944/preprints202101.0528.v1).
•    Nguyen, L (2020, November 1). Conditional Mixture Model for Modeling Attributed Dyadic Data. Preprints 2020, 2020100550 (doi: 10.20944/preprints202011.0266.v1).
•    Nguyen, L (2020, November 1). Learning Dyadic Data and Predicting Unaccomplished Co-Occurrent Values by Mixture Model. Preprints 2020, 2020100550 (doi: 10.20944/preprints202011.0038.v1).
•    Nguyen, L (2020, October 28). Conditional Mixture Model and Its Application for Regression Model. Preprints 2020, 2020100550 (doi: 10.20944/preprints202010.0550.v2).
•    Shafiq, A., & Nguyen, L (2020, January). Marangoni convective flow of nanoliquid towards a riga surface. ResearchGate 2020 Preprint.
•    Nguyen, L., & Amer, A. A. (2019, October 17). Advanced Cosine Measures for Collaborative Filtering. (ITS, Ed.) Adaptation and Personalization (ADP), 1(1), 21-41. doi:10.31058/j.adp.2019.11002
•    Nguyen, L., & Shafiq, A. (2019, January 29). Semi-mixture Regression Model for Incomplete Data. (T. Schmutte, Ed.) Adaptation and Personalization (ADP), 1(1), 1-20. doi:10.31058/j.adp.2019.11001
•    Nguyen, L., & Shafiq, A. (2018, December 31). Mixture Regression Model for Incomplete Data. (L. E. Istael, Ed.) Revista Sociedade Científica, 1(3), 1-25. doi:10.5281/zenodo.2528978
•    Nguyen, L., & Ho, Thu-Hang T. (2018, December 17). Fetal Weight Estimation in Case of Missing Data. (T. Schmutte, Ed.) Experimental Medicine (EM), 1(2), 45-65. doi:10.31058/j.em.2018.12004
•    Nguyen, L., & Ho, Thu-Hang T. (2018, August 1). Phoebe Framework and Experimental Results for Estimating Fetal Age and Weight. In T. F. Heston, & T. F. Heston (Ed.), eHealth - Making Health Care Smarter (pp. 99-123). Rijeka, Croatia: InTechOpen. doi:10.5772/intechopen.74883
•    Nguyen, L. (2018, July 10). Proposal of Evaluating Patients' Satisfaction about Quality of Healthcare System by Non-parametric Quality Control. Open Science Framework (OSF) Preprints. doi:10.17605/OSF.IO/VUMHN
•    Nguyen, L., & Ho, Thu-Hang T. (2018, May 7). Early Fetal Weight Estimation with Expectation Maximization Algorithm. (T. Schmutte, Ed.) Experimental Medicine (EM), 1(1), 12-30. doi:10.31058/j.em.2018.11002
•    Nguyen, L., Do, M.-P. T. (2018, January 18). A Novel Collaborative Filtering Algorithm by Bit Mining Frequent Itemsets. PeerJ Preprints, 6(e26444v1). doi:10.7287/peerj.preprints.26444v1
•    Nguyen, L. (2018, January 17). A Maximum Likelihood Mixture Approach for Multivariate Hypothesis Testing in case of Incomplete Data. Open Science Framework (OSF) Preprints. Retrieved from http://osf.io/whvq8
•    Nguyen, L. (2018, January 17). Nonparametric Hypothesis Testing Report. Open Science Framework (OSF) Preprints. Retrieved from http://osf.io/tj9cf
•    Nguyen, L. (2017, November 2). Converting Graphic Relationships into Conditional Probabilities in Bayesian Network. In J. P. Tejedor, & J. P. Tejedor (Ed.), Bayesian Inference (pp. 97-143). Rijeka, Croatia: InTechOpen. doi:10.5772/intechopen.70057
•    Nguyen, L. (2017, April 24). A Proposal of Loose Asymmetric Cryptography Algorithm. Proceedings of The 2nd International Conference on Software, Multimedia and Communication Engineering (SMCE 2017), DEStech Transactions on Computer Science and Engineering (pp. 414-422). Shanghai: DEStech. doi:10.12783/dtcse/smce2017/12462
•    Nguyen, L. (2017, June 9). Global Optimization with Descending Region Algorithm. (L. Nguyen, & et al., Eds.) Special Issue “Some Novel Algorithms for Global Optimization and Relevant Subjects”, Applied and Computational Mathematics (ACM), 6(4-1), 72-82. doi:10.11648/j.acm.s.2017060401.17
•    Nguyen, L., & Ho, Thu-Hang T. (2017, March 13). Experimental Results of Phoebe Framework: Optimal Formulas for Estimating Fetus Weight and Age. (H. J. Shaji, M. C. Portillo, & M. M. Zdanowicz, Eds.) Journal of Community & Public Health Nursing, 3(2), 1-5. doi:10.4172/2471-9846.1000163
•    Nguyen, L. (2016, October 31). Beta Likelihood Estimation in Learning Bayesian Network Parameter. In United Scholars Publications (Author), Advances in Computer Networks and Information Technology (Vol. II). USA: CreateSpace Independent Publishing Platform. Retrieved from https://goo.gl/R4dwrf
•    Nguyen, L. (2016, October 18). Estimating Peak Bone Mineral Density in Osteoporosis Diagnosis by Maximum Distribution. International Journal of Clinical Medicine Research (IJCMR), 3(5), 76-80. Retrieved from http://www.aascit.org/journal/archive2?journalId=906&paperId=4532
•    Nguyen, L. (2016, August 18). A New Aware-context Collaborative Filtering Approach by Applying Multivariate Logistic Regression Model into General User Pattern. (F. Shi, Ed.) Journal of Data Analysis and Information Processing (JDAIP), 4(3), 124-131. doi:10.4236/jdaip.2016.43011
•    Nguyen, L. (2016, June 17). Longest-path Algorithm to Solve Uncovering Problem of Hidden Markov Model. (L. Nguyen, & M. A. MELLAL, Eds.) Special Issue “Some Novel Algorithms for Global Optimization and Relevant Subjects”, Applied and Computational Mathematics (ACM), 6(4-1), 39-47. doi:10.11648/j.acm.s.2017060401.13
•    Nguyen, L. (2016, June 17). Tutorial on Hidden Markov Model. (L. Nguyen, & M. A. MELLAL, Eds.) Special Issue “Some Novel Algorithms for Global Optimization and Relevant Subjects”, Applied and Computational Mathematics (ACM), 6(4-1), 16-38. doi:10.11648/j.acm.s.2017060401.12
•    Nguyen, L. (2016, June 17). Tutorial on Support Vector Machine. (L. Nguyen, & M. A. MELLAL, Eds.) Special Issue “Some Novel Algorithms for Global Optimization and Relevant Subjects”, Applied and Computational Mathematics (ACM), 6(4-1), 1-15. doi:10.11648/j.acm.s.2017060401.11
•    Nguyen, L. (2016, June 10). Continuous Observation Hidden Markov Model. (M. G. De Garcia, Ed.) Kasmera Journal, 44(6), 65-149.
•    Nguyen, L. (2016, April 27). Beta Likelihood Estimation and Its Application to Specify Prior Probabilities in Bayesian Network. (H. M. Srivastava, P. Bracken, R. Jedynak, anonymous, & S. Zimeras, Eds.) British Journal of Mathematics & Computer Science, 16(3), 1-21. doi:10.9734/BJMCS/2016/25731.
•    Nguyen, L. (2016, April 8). New version of CAT algorithm by maximum likelihood estimation. (B. N. Buszewski, Ed.) Sylwan Journal, 160(4), 218-244.
•    Nguyen, L. (2016, March 28). Theorem of SIGMA-gate Inference in Bayesian Network. (V. S. Franz, Ed.) Wulfenia Journal, 23(3), 280-289.
•    Nguyen, L. (2016, February). Specifying Prior Probabilities in Bayesian Network by Maximum Likelihood Estimation method. (B. N. Buszewski, Ed.) Sylwan Journal, 160(2), 281-298.
•    Nguyen, L., & Ho, H. (2015, November 23). A proposed method for choice of sample size without pre-defining error. (F. Shi, Ed.) Journal of Data Analysis and Information Processing (JDAIP), 3(4), 163-167. doi:10.4236/jdaip.2015.34016
•    Nguyen, L., Do, M.-P. T. (2015, November 13). Hudup: A Framework of E-commercial Recommendation Algorithms. In A. Fred, J. Dietz, D. Aveiro, K. Liu, & J. Filipe (Ed.), Final Program and Book of Abstracts of The 7th International Joint Conference on Knowledge Discovery, Knowledge Engineering and Knowledge Management (IC3K 2015) (p. 56). Lisbon: SCITEPRESS. Retrieved from https://goo.gl/BQaEcm
•    Nguyen, L. (2015, November 13). A New Approach for Collaborative Filtering based on Bayesian Network Inference. The 7th International Joint Conference on Knowledge Discovery, Knowledge Engineering and Knowledge Management. 1: KDIR (IC3K-2015), pp. 475-480. Lisbon, Portugal: SCITEPRESS - Science and Technology Publications, Lda. doi:10.5220/0005635204750480
•    Nguyen, L. (2015, October 9). An Advanced Approach of Local Counter Synchronization in Timestamp Ordering Algorithm in Distributed Concurrency Control. (N. John, Ed.) Open Access Library Journal (OALib Journal), 2(10), 1-5. doi:10.4236/oalib.1100982
•    Nguyen, L. (2015, September 28). Introduction to A Framework of E-commercial Recommendation Algorithms. (A. e. Shabayek et al., Eds.) American Journal of Computer Science and Information Engineering (AJCSIE), 2(4), 33-44. Retrieved from http://www.aascit.org/journal/archive2?journalId=912&paperId=1894.
•    Nguyen, L. (2015, January 22). A User Modeling System for Adaptive Learning. In S. Schreiter (Ed.), The 2014 International Conference on Interactive Collaborative Learning (ICL 2014) (pp. 864-866). The 2014 World Engineering Education Forum (WEEF2014), Dubai, UAE: IEEE. doi:10.1109/ICL.2014.7017887
•    Nguyen, L., & Ho, H. (2015, January 12). A fast computational formula for Kappa coefficient. (A. Genc, S.-A. Xue, R. Rison, & V. Rocha, Eds.) Science Journal of Clinical Medicine (SJCM), 4 (1), 1-3. doi:10.11648/j.sjcm.20150401.11
•    Nguyen, L. (2015, January 10). Feasible length of Taylor polynomial on given interval and application to find the number of roots of equation. (A. Moustafa et al., Eds.) International Journal of Mathematical Analysis and Applications, 1 (5), 80-83. Retrieved from http://www.aascit.org/journal/archive2?journalId=921&paperId=1017
•    Nguyen, L. (2014, December 6). Evaluating Adaptive Learning Model. The 2014 International Conference on Interactive Collaborative Learning (ICL 2014) (pp. 818-822). Dubai, UAE: IEEE. doi:10.1109/ICL.2014.7017878
•    Nguyen, L. (2014, October 21). Improving analytic function approximation by minimizing square error of Taylor polynomial. (A. Moustafa et al., Eds.) International Journal of Mathematical Analysis and Applications, 1 (4), 63-67. Retrieved from http://www.aascit.org/journal/archive2?journalId=921&paperId=1016
•    Nguyen, L. (2014, September). Theorem of logarithm expectation and its application to prove sample correlation coefficient as unbiased estimate. (A. Guezane-Lakoud, W. P. Fox, E. Francomano, S. A. Episkoposian, E. Nadaraya, A. N. Raikov, et al., Eds.) Journal of Mathematics and System Science(JMSS), 4 (9), 605-608. doi:10.17265/2159-5291/2014.09.003
•    Nguyen, L. (2014, May). A New Algorithm for Modeling and Inferring User's Knowledge by Using Dynamic Bayesian Network. (M. Z. Raqab, Ed.) Statistics Research Letters (SRL), 3 (2). Retrieved from http://www.srl-journal.org/paperInfo.aspx?ID=6933
•    Nguyen, L. (2014, May 28). User Model Clustering. (F. Shi, Ed.) Journal of Data Analysis and Information Processing (JDAIP), 2 (2), 41-48. doi:10.4236/jdaip.2014.22006
•    Nguyen, L., & Ho, H. (2014, March 30). A framework of fetal age and weight estimation. (B. S. Shetty, J. Morales, a. badawy, C. Mowa, K. K. Shukla, T. Chen, et al., Eds.) Journal of Gynecology and Obstetrics (JGO), 2 (2), 20-25. doi:10.11648/j.jgo.20140202.13
•    Nguyen, L. (2013). A New Approach for Modeling and Discovering Learning Styles by Using Hidden Markov Model. (G. Perry et al., Eds.) Global Journal of Human Social Science: G - Linguistics & Education, 13 (4 Version 1.0 Year 2013), 1-10. Retrieved from http://socialscienceresearch.org/index.php/GJHSS/article/view/609
•    Nguyen, L. (2013, July 15). Overview of Bayesian Network. Ho Chi Minh University of Technology, Vietnam. Warri, Delta State, Nigeria: Science Journal Publication. doi:10.7237/sjms/105
•    Nguyen, L. (2013, June). The Bayesian approach and suggested stopping criterion in Computerized Adaptive Testing. (A. T. Al-Taani, Ed.) International Journal of Research in Engineering and Technology (IJRET), 2 (1-2103), 36-38. Retrieved from https://goo.gl/kXxczD
•    Nguyen, L. (2013, June 5). A new method to determine separated hyper-plane for non-parametric sign test in multivariate data. In V.-D. Le, A. Mukhopadhyay, & G.-T. Pham (Ed.), STATISTICS and its INTERACTIONS with OTHER DISCIPLINES (SIOD 2013). Ho Chi Minh: Ton Duc Thang University. doi:10.13140/RG.2.2.20886.86080/1
•    Nguyen, L., Do, M.-P. T., Vu, N. T., & Tran, D. N. (2013, March 20). A New Approach for Collaborative Filtering Based on Mining Frequent Itemsets. In Selamat, A., Nguyen, Ngoc T., & Haron, H. (Ed.), ACIIDS'13 Proceedings of the 5th Asian conference on Intelligent Information and Database Systems. II, pp. 19-29. Kuala Lumpur: Springer. doi:10.1007/978-3-642-36543-0_3
•    Nguyen, L. (2011). The method of seven qigong exercises of archery simulation. (V. H. Nguyen, Ed.) Nguyen Hoai Van's website.
•    Do, M.-P. T., Nguyen, D. V., & Nguyen, L. (2010, August 20). Model-based Approach for Collaborative Filtering. Proceedings of The 6th International Conference on Information Technology for Education (IT@EDU2010) (pp. 217-225). Ho Chi Minh, Vietnam: Ho Chi Minh University of Information Technology. Retrieved from https://goo.gl/BHu7ge
•    Nguyen, L. (2010). Discovering User Interests by Document Classification. In I.-H. Ting, H.-J. Wu, T.-H. Ho, I.-H. Ting, H.-J. Wu, & T.-H. Ho (Eds.), Mining and Analyzing Social Networks (Vol. 288 In series “Studies in Computational Intelligence”, pp. 139-159). Springer Berlin Heidelberg. doi:10.1007/978-3-642-13422-7_9
•    Nguyen, L. (2010). Overview of The System of Acupuncture Spots in Oriental Medicine based on Oriental Philosophy. (L. Nguyen, Ed.) Retrieved from Loc Nguyen's Homepage: https://goo.gl/78K1Pr
•    Nguyen, L. (2009, September 25). Incorporating Bayesian Inference into Adaptation Rules in AHA architecture. Proceedings of 12th International Conference Interests Interactive Computer aided Learning (ICL2009). Villach, Austria: Kassel University Press, Kassel, Germany. Retrieved from http://www.icl-conference.org/dl/proceedings/2009/archive.htm
•    Nguyen, L. (2009, August 31). A Proposal Discovering User Interests by Support Vector Machine and Decision Tree on Document Classification. The International Workshop on Social Networks Mining and Analysis for Business Applications (SNMABA2009) in conjunction with The 2009 IEEE International Conference on Social Computing (SocialCom2009), 4, pp. 809-814. Vancouver, Canada: Computational International Conference on Science and Engineering 2009 (CSE '09), IEEE. doi:10.1109/CSE.2009.112
•    Nguyen, L., & Do, P. (2009, July 16). Evolution of Parameters in Bayesian Overlay Model. In H. R. Arabnia, D. d. Fuente, & J. A. Olivas (Ed.), Proceedings of The 2009 International Conference on Artificial Intelligence (IC-AI’09), The 2009 World Congress in Computer Science, Computer Engineering, and Applied Computing (WORLDCOMP’09) (pp. 324-329). Monte Carlo Resort, Las Vegas, Nevada, USA: CSREA Press USA. Retrieved from https://goo.gl/QwMYqq
•    Fröschl, C., & Nguyen, L. (2009, July 16). State of the Art of Adaptive Learning. In H. R. Arabnia, A. Bahrami, & A. M. Solo (Ed.), Proceedings of The 2009 International Conference on e-Learning, e-Business, Enterprise Information Systems, and e-Government (EEE 2009). The 2009 World Congress in Computer Science, Computer Engineering, and Applied Computing (WORLDCOMP’09) (pp. 126-133). Las Vegas, Nevada, USA: CSREA Press USA. Retrieved from https://goo.gl/Xn39eN
•    Nguyen, L., & Dong, B.-T. T. (2009, July 10). ZEBRA: A new User Modeling System for Triangular Model of Learners‘ Characteristics. In G. D. Magoulas, P. Charlton, D. Laurillard, K. Papanikolaou, & M. Grigoriadou (Ed.), AIED 2009: 14th conference on Artificial Intelligence in Education, Proceedings of the Workshop on “Enabling creative learning design: how HCI, User Modeling and Human Factors Help” (pp. 42-51). Brighton, United Kingdom: IOS Press Amsterdam, The Netherlands, The Netherlands. Retrieved from https://goo.gl/cVzC6h
•    Nguyen, L., & Do, P. (2009, June 3). Learning Concept Recommendation based on Sequential Pattern Mining. In E. Chang, F. Hussain, & E. Kayacan (Ed.), Proceedings of The 2009 Third International Digital Ecosystems and Technologies Conference (IEEE-DEST 2009) (pp. 66-71). Istanbul, Turkey: IEEE. doi:10.1109/DEST.2009.5276694
•    Nguyen, L., & Do, P. (2009). Combination of Bayesian Network and Overlay Model in User Modeling. (M. E. Auer, Ed.) International Journal of Emerging Technologies in Learning (iJET), 4 (4), 41-45. doi:10.3991/ijet.v4i4.684
•    Fröschl, C., Nguyen, L., & Do, P. (2008, November). Learner Model in Adaptive Learning. The 2008 World Congress on Science, Engineering and Technology (WCSET2008), 35, pp. 296-400. Paris, France: World Congress on Science, Engineering and Technology (WASET). Retrieved from https://goo.gl/MEZVJ2
•    Nguyen, L. (2006, January). Image Retrieval by MMM Model on Combination of Image Low-Level Features and High-Level Semantics (Truy tìm ảnh qua mô hình MMM kết hợp giữa đặc trưng cấp thấp và ngữ nghĩa cấp cao của ảnh). (T.-A. Vo, & M.-P. T. Ho, Eds.) An Giang University Journal of Science, 25. Retrieved from https://goo.gl/rP2tsZ

Skype ID: ng_phloc

Research Interest: Real and Complex Analysis; Fractional Calculus and Its Applications; Integral Equations and Transforms; Higher Transcendental Functions and Their Applications; q-Series and q-Polynomials; Analytic Number Theory; Analytic and Geometric Inequalities; Probability and Statistics; Inventory Modelling and Optimization

Grants: None

Jinde Cao is an Endowed Chair Professor, the Dean of School of Mathematics and the Director of the Research Center for Complex Systems and Network Sciences at Southeast University. From March 1989 to May 2000, he was with the Yunnan University. In May 2000, he joined the School of Mathematics, Southeast University, Nanjing, China. From July 2001 to June 2002, he was a Postdoctoral Research Fellow at Chinese University of Hong Kong, Hong Kong. Professor Cao was an Associate Editor of the IEEE Transactions on Neural Networks, and Neurocomputing. He is an Associate Editor of the IEEE Transactions on Cybernetics, IEEE Transactions on Cognitive and Developmental Systems, Journal of the Franklin Institute, Mathematics and Computers in Simulation, Cognitive Neurodynamics, and Neural Networks. He is a Fellow of IEEE, a Member of the Academy of Europe, and a Foreign Fellow of Pakistan Academy of Sciences. He has been named as Highly-Cited Researcher by Thomson Reuters/Clarivate Analytics.

Research Interest: Neural networks:  Computational intelligence; Complex networks; Complex systems; Intelligent control; Multi-agent system ; Differential equations; Applied mathematics

URL: http://www.ae-info.org/ae/User/Cao_Jinde

No. of Publications (up-to-date): 630

Research Interest: connect mathematics with computer science and include computer vision, artificial intelligence, shape representation, curve interpolation, contour reconstruction and geometric modelling, numerical methods, probabilistic methods, game theory, operational research and discrete mathematics

Grants: None

Publications

1. Jakóbczak D.: Curve Extrapolation and Data Analysis using
the Method of Hurwitz-Radon Matrices. Folia Oeconomica Stetinensia, vol.9(17)/2010, pp. 121-138, Szczecin University 2011.

2. Jakóbczak D.: Object Recognition via Contour Points Reconstruction Using Hurwitz-Radon matrices. IGI Global book „Knowledge-Based Intelligent System Advancements: Systemic and Cybernetic Approaches”,
Józefczyk J., Orski D. (Eds.), Hershey PA, USA 2011, pp. 87-107.

3. Jakóbczak D.: Curve Parameterization and Curvature via Method of Hurwitz-Radon Matrices. Image
Processing&Communications- An International Journal, vol.16, no.1-2, UT&LS Bydgoszcz 2011, pp. 49-56.

4. Jakóbczak D.: Data Extrapolation and Decision Making via Method of Hurwitz-Radon Matrices.
Computational Collective Intelligence: Technologies and Applications (Proc. of ICCCI 2011, Part 1), Lecture Notes in Computer Science, Vol. 6922, Jedrzejowicz P., Ngoc Thanh Nguyen, Kiem Hoang (Eds.), Springer-Verlag Berlin Heidelberg 2011, pp. 173-182.

5. Jakóbczak D.: Shape Coefficients via Method of Hurwitz-Radon Matrices. Zeszyty Naukowe Wydziału
Elektroniki i Informatyki, nr 3, str. 59-71, Wydawnictwo Uczelniane Politechniki Koszalińskiej 2011.

6. Jakóbczak D., Kosiński W.: Shape Parametrization and Contour Curvature Using Method of Hurwitz-
Radon Matrices. Artificial Intelligence and Soft Computing (Proc. of ICAISC 2012, Part 1), Lecture Notes in
Computer Science/LNAI, Vol. 7267, Rutkowski L., Korytkowski M., Scherer R., Tadeusiewicz R., Zadeh L.A., Zurada J.M. (Eds.), Springer-Verlag Berlin Heidelberg 2012, pp. 518-526.

7. Jakóbczak D: Application of Hurwitz-Radon matrices in curve interpolation and almost-smoothing. Central European Journal of Computer Science, December 2012, Volume 2, Issue 4, pp 440-458

8. Jakóbczak D.: The Zero of Function and Interpolation by the Method of Hurwitz-Radon Matrices. Zeszyty Naukowe Wydziału Elektroniki i Informatyki, nr 4, str. 55-65, Wydawnictwo Uczelniane Politechniki
Koszalińskiej 2012

9. Jakóbczak D.: Probabilistic Nodes Combination – Modeling and Interpolation of 2D Curve. International Journal of Organizational and Collective Intelligence (IJOCI), vol.3, no.3, pp.22-35, IGI Global, Hershey PA, USA 2012

10. Jakóbczak D.: Probabilistic Modeling of Signature using the Method of Hurwitz-Radon Matrices. Global
Perspectives on Artificial Intelligence, vol. 1, issue 1, pp.1-7, January 2013.

11. Jakóbczak D.: Application of Hurwitz-Radon Matrices in Shape Coefficients. Asian Journal of Fuzzy and Applied Mathematics, vol.01-issue 01, pp.4-11, June 2013, published online at
http://www.ajouronline.com/index.php/AJFAM.

12. Jakóbczak D.: Numerical differentiation via the interpolation method of Hurwitz-Radon Matrices. European Scientific Journal, vol.9, No.27, pp.50-62, September 2013.

13. Jakóbczak D.: Active Object Modeling and Applications via the Method of Hurwitz-Radon Matrices.
Zeszyty Naukowe Wydziału Elektroniki i Informatyki, nr 5, str. 5-16, Wydawnictwo Uczelniane Politechniki
Koszalińskiej 2013.

14. Jakóbczak D.: Object Recognition via Contour Points Reconstruction Using Hurwitz-Radon matrices. IGI Global books „Image Processing: Concepts, Methodologies, Tools, and Applications”, Hershey PA, USA 2013,
pp. 998-1018.

15. Jakóbczak D.: Curve Interpolation and Shape Modeling via Probabilistic Nodes Combination. DOI:
10.1007/s40595-014-0016-7. Vietnam Journal of Computer Science, Springer 2014, Volume 1, Issue 3 (2014),
pp. 141-153.

16. Jakóbczak D.: Probabilistic Interpolation of the Curve via the Method of Hurwitz-Radon Matrices.
Advances in Computer Science: an International Journal (ACSIJ), Vol. 3, Issue 3, No. 9, May 2014, pp. 9-15.

17. Jakóbczak, D.J. (2014) Numerical Quadratures Using the Interpolation Method of Hurwitz-Radon Matrices. Advances in Linear Algebra & Matrix Theory, 4 (2), 100-108. http://dx.doi.org/10.4236/alamt.2014.42008

18. Jakóbczak D.: Offline Text-Independent Handwriting Identification and Shape Modeling via Probabilistic
Nodes Combination. Artificial Intelligence and Soft Computing (Proc. of ICAISC 2014, Part 2), Lecture Notes in Computer Science - LNAI 8468, Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (Eds.), Springer 2014, pp 119-130.

19. Jakóbczak D.: Probabilistic Data Modeling - Interpolation and Extrapolation via the Method of Hurwitz-
Radon Matrices. Open Transactions on Information Processing, vol. 1, no.2, August 2014, pp. 1-19.

20. Jakóbczak D.J.: Numerical Applications of the Method of Hurwitz-Radon Matrices. Proceedings of 2nd AIIC Annual International Interdisciplinary Conference, 08-12 July 2014, Ponta Delgada, Azores Islands (Portugal),
pp. 436-446.

21. Jakóbczak D.J.: Mathematical Modeling of 2D Processes via the Method of Hurwitz-Radon Matrices.
Proceedings of International Conference On Advances In Computing, Electronics And Electrical Technology CEET 2014, 02-03.08.2014, Kuala Lumpur (Malaysia), pp.114-117.

22. Jakóbczak D.: Probabilistic 2D Shape Retrieval and Applications via the Method of Hurwitz-Radon
Matrices. Journal of Control Science and Engineering 2 (2014), pp.1-6.

23. Jakóbczak, D.J. (2014) The Solution of Nonlinear Equations via the Method of Hurwitz-Radon Matrices. Journal of Computer and Communications, 2, 9-16. http://dx.doi.org/10.4236/jcc.2014.210002

24. Jakóbczak D.J.: 2D Data Modeling by Probability Distribution. Proceedings of International Conference on Engineering and Applied Science ICEAS 2014, vol. II, 13.07.2014, Bangalore (India), pp.1-5.

25. Jakóbczak D.J.: Data Modeling using MHR Method. Proceedings of International Conference on Advances in Computer and Electronics Technology ACET 2014, Rakesh Kumar (Ed.), 26-27.08.2014, Hong Kong,
pp.125-128.

26. Jakóbczak D.J.: 2D Data Modeling by Probability Distribution. International Journal of Advanced
Computer Engineering and Communication Technology (IJACECT), 2014 vol. 3, issue 1, pp. 13-17.

27. Jakóbczak D.J., 2D Curve Modeling via the Method of Probabilistic Nodes Combination - Shape
Representation, Object Modeling and Curve Interpolation-Extrapolation with the Applications, LAP Lambert Academic Publishing (Saarbrucken, Niemcy) 2014, ISBN 978-3-659-58730-6.

28. Jakóbczak D.J.: Numerical Applications of the Method of Hurwitz-Radon Matrices. European Scientific
Journal, vol.3, special edition, pp.436-446, September 2014.

29. Jakóbczak D.J.: 2D Data Modeling by Probability Distribution. International Journal on Advanced
Electrical and Computer Engineering (IJAECE), 2014 vol. 1, issue 1, pp. 1-5.

30. Jakóbczak D.J.: The Method of Probabilistic Nodes Combination in Handwriting Recognition. Zeszyty
Naukowe Wydziału Elektroniki i Informatyki, nr 6, str. 35-50, Wydawnictwo Uczelniane Politechniki
Koszalińskiej 2014.

31. Jakóbczak D.J.: Reconstruction and Modeling of 2D Information. Information - An International
Interdisciplinary Journal (lista A, nr 4591, 15 pkt.) – in press, 2015.

32. Jakóbczak D.J.: 2D Point Reconstruction by MHR Method. Proceedings of 2nd International Conference on Advances in Computing, Electronics and Communication - ACEC 2014, 25-26.10.2014, Zurich, pp.181-184.

33. Jakóbczak D.J.: Restoration of 2D Information by MHR Method. Proceedings of 2nd International
Conference on Advances in Computing, Communication and Information Technology - CCIT 2014, University of Birmingham (Birmingham, UK), November 16-17, 2014, pp.6-9.

34. Jakóbczak D.J.: Application of the Method of Hurwitz-Radon Matrices in Data Reconstruction. Proceedings of 2nd International Conference On Advances In Computing, Electronics And Electrical Technology CEET 2014,
20-21.12.2014, Kuala Lumpur (Malaysia), pp.15-18.

35. Jakóbczak D.J.: Data Modeling using MHR Method. International Journal of Advances in Computer
Science & Its Applications – IJCSIA 2014, Volume 4: Issue 4, pp.6-9.

36. Jakóbczak D.J.: Mathematical Modeling of 2D Processes via the Method of Hurwitz-Radon Matrices.
International Journal of Advances in Computer Science & Its Applications – IJCSIA 2014, Volume 4: Issue 4,
pp.157-160.

37. Jakóbczak D.J.: Implementation of Novel Method in Curve Interpolation. Proceedings of International
Conference on Advances in Computing, Control and Networking - ACCN 2015, 21-22.02.2015, Bangkok
(Thailand), pp.7-10.

38. Jakóbczak D.J.: Probabilistic 2D Point Interpolation and Extrapolation via Data Modeling. Informatica 39 (2015), 53–61.

39. Jakóbczak D.J.: Application of Curve Interpolation in Data Modeling and Restoration. Proceedings of 3rd International Conference On Advances In Computing, Electronics And Electrical Technology CEET 2015, 11-12.04.2015, Kuala Lumpur (Malaysia), pp.42-45.

40. Jakóbczak D.J.: 2D Point Reconstruction by MHR Method. International Journal of Advances in Computer Science & Its Applications – IJCSIA 2015, Vol. 5: Issue 1, pp.11-14.

41. Jakóbczak D.J.: Restoration of 2D Information by MHR Method. International Journal of Advances in
Computer Science & Its Applications – IJCSIA 2015, Vol. 5: Issue 1, pp.51-54.

42. Jakóbczak D.J.: Application of the Method of Hurwitz-Radon Matrices in Data Reconstruction.
International Journal of Advances in Software Engineering & Research Methodology– IJSERM 2015, Vol. 2:Issue 1, pp.40-43.

43. Jakóbczak D.J.: The Method of Probabilistic Nodes Combination in 2D Information Reconstruction, Object Recognition and Modeling. Proceedings of 3rd International Conference on Advances in Computing,Communication and Information Technology - CCIT 2015, City University of Birmingham (Birmingham, UK), May 26-27, 2015, pp.93-98.

44. Jakóbczak D.J.: The Method of Probabilistic Nodes Combination in Simulation and Modeling. New
Developments in Computational Intelligence and Computer Science, Wang Y., Borne P., Rudas I. (Eds), Recent Advances in Computer Engineering Series 28. Proceedings of the International Conference on Applied Physics, Simulation and Computers - APSAC 2015, Vienna (Austria), March 15-17, 2015, pp.124-129.

45. Jakóbczak D.J.: Novel Method of 2D Data Simulation and Modeling. Recent Researches in Applied
Mathematics, Simulation and Modelling, Rudas I. (Ed.), Mathematics and Computers in Science and
Engineering Series 46. Proceedings of the 9th International Conference on Applied Mathematics, Simulation, Modelling - ASM15, Konya (Turkey), May 20-22, 2015, pp.121-126.

46. Jakóbczak D.J.: Data Interpolation with Applications via Probabilistic Distribution and Nodes
Combination. Recent Advances in Mathematics, Rudas I. (Ed.), Mathematics and Computers in Science and Engineering Series 48. Proceedings of the 2015 International Conference on Pure Mathematics, Applied Mathematics and Computational Methods (PMAMCM 2015), Zakynthos Island (Greece), July 16-20, 2015, pp.27-32.

47. Jakóbczak D.J.: Applications of Hurwitz-Radon Matrices in Data Engineering and Information Restoration. Recent Advances on Computer Engineering Series 33, Xiaodong Zhuang (Ed.). Proceedings of the 14th International Conference on Applications of Computer Engineering (ACE '15), Seoul (Korea), September 5-7, 2015, pp.159-162.

48. Jakóbczak D.J.: Data Reconstruction based on Probability Distribution. Mathematical and Computational Methods in Applied Sciences, Rudas I. (Ed.), Mathematics and Computers in Science and Engineering Series 51.Proceedings of 3rd International Conference on Applied, Numerical and Computational Mathematics (ICANCM '15), Sliema (Malta), August 17-19, 2015, pp.179-184.

49. Jakóbczak D.J.: Geometry of the Curve using Nodes Combination with Probability Distribution.
Mathematical and Computational Methods in Electrical Engineering, Mladenov V. (Ed.), Recent Advances in Electrical Engineering Series 53. Proceedings of 15th International Conference on Signal Processing,
Computational Geometry and Artificial Vision (ISCGAV '15), Sliema (Malta), August 17-19, 2015, pp.147-152.

50. Jakóbczak D.J.: Information Retrieval and Data Forecasting via Probabilistic Nodes Combination.
Intelligent Data Engineering and Automated Learning – IDEAL 2015, Lecture Notes in Computer Science
LNCS 9375, Jackowski, K., Burduk, R., Walkowiak, K., Woźniak, M., Hujun Yin (Eds.), Springer 2015, pp
104-112.

51. Jakóbczak D.J.: Application of Curve Interpolation in Data Modeling and Restoration. International Journal of Advances in Computer Science & Its Applications – IJCSIA 2015, Vol. 5: Issue 2, pp.121-124.

52. Jakóbczak D.J.: Implementation of Novel Method in Curve Interpolation. International Journal of Advances in Computer Science & Its Applications – IJCSIA 2015, Vol. 5: Issue 2, pp.7-10.

53. Jakóbczak D.J.: The Method of Probabilistic Nodes Combination in 2D Information Reconstruction, Object Recognition and Modeling. International Journal of Advances in Computer Science & Its Applications – IJCSIA 2015, Vol. 5: Issue 2, pp.173-178.

54. Jakóbczak D.J.: Data Modeling and Interpolation based on Probability Distribution of the Nodes.
Advances in Computer Science, Xiaodong Zhuang (Ed.), Recent Advances in Computer Engineering Series 35. Proceedings of the 6th European Conference of Computer Science (ECCS '15), Rome (Italy), November 7-9, 2015, pp.245-250.

55. Jakóbczak D.J.: Curve Restoration with Implementations based on Probability Distribution Functions.
Mathematical Models and Computational Methods, Rudas I. (Ed.), Mathematics and Computers in Science and Engineering Series 55. Proceedings of the 2015 International Conference on Applied Mathematics,
Computational Science & Engineering (AMCSE 2015), Agios Nikolaos, Crete, Greece, October 17-19, 2015,pp.69-74.

56. Jakóbczak D.J.: Applications of Probabilistic Distribution via Hurwitz-Radon Matrices. Recent Advances
on Applied Mathematics, Rudas I. (Ed.), Mathematics and Computers in Science and Engineering Series 56.Proceedings of the 20th International Conference on Applied Mathematics AMATH15, Budapest (Hungary), December 12-14, 2015, pp.149-152.

57. Jakóbczak D.J.: Data Forecasting and Extrapolation via Probability Distribution and Nodes Combination.Zeszyty Naukowe Wydziału Elektroniki i Informatyki, nr 8, str. 25-38, Wydawnictwo Uczelniane Politechniki Koszalińskiej 2015.

58. Jakóbczak D.J.: The Method of Probabilistic Nodes Combination in 2D Information Retrieval, Pattern
Recognition and Biometric Modeling. Advances in Intelligent Systems and Computing 389, Image Processing and Communications: Challenges 7, Choraś R.S. (Ed.), Springer 2016, pp. 125-134.

59. Jakóbczak, D. J. (2016). Analyzing Risk through Probabilistic Modeling in Operations Research (pp. 1-
442). Hershey, PA: IGI Global. doi:10.4018/978-1-4666-9458-3

60. Jakóbczak D.J: Data Extrapolation via Curve Modeling in Analyzing Risk: Value Anticipation for Decision Making. In: Analyzing Risk through Probabilistic Modeling in Operations Research, Jakóbczak D.J. (Ed.), IGI Global (Hershey PA, USA), 2016, pp. 1-31.

61. Jakóbczak D.J: The Method of Probabilistic Nodes Combination in Decision Making and Risk Analysis:
Data Extrapolation in Planning. In: Analyzing Risk through Probabilistic Modeling in Operations Research,
Jakóbczak D.J. (Ed.), IGI Global (Hershey PA, USA), 2016, pp. 32-60.

62. Jakóbczak D.J.: Applications of Orthogonal Matrices in 2D Data Retrieval. Advances in Mathematics and Computer Science & their Applications, Rudas I.J, Lee S.C. (Eds.), Mathematics and Computers in Science and Engineering Series 57. Proceedings of the 7th European Conference on Applied Mathematics and Informatics AMATHI16, Venice (Italy), January 29-31, 2016, pp.264-267.

63. Jakóbczak D.J.: Probabilistic Method of Data Computation, Interpolation and Modeling. Advances in
Mathematics and Computer Science & their Applications, Rudas I.J, Lee S.C. (Eds.), Mathematics and
Computers in Science and Engineering Series 57. Proceedings of the 18th International Conference on
Mathematical Methods, Computational Techniques and Intelligent Systems MAMECTIS '16, Venice (Italy),
January 29-31, 2016, pp.252-257.

64. Jakóbczak D.J.: A Novel Method of 2D Computation and Reconstruction. Recent Advances in Mathematics and Computational Science, Rudas I.J (Ed.), Mathematics and Computers in Science and Engineering Series 58. Proceedings of the 4th International Conference on Mathematical, Computational and Statistical Sciences MCSS '16, Barcelona (Spain), February 13-15, 2016, pp.35-41.

65. Jakóbczak D.J.: Information Analysis and 2D Point Extrapolation using Method of Hurwitz-Radon
Matrices. International Arab Journal of Information Technology –accepted, WoS-JCR.

66. Jakóbczak D.J.: Modeling of High-dimensional Data for Applications of Image Segmentation in Image
Retrieval and Recognition Tasks. Hybrid Soft Computing for Image Segmentation, Siddhartha Bhattacharyya, Paramartha Dutta, Sourav De, Goran Klepac (Eds.), Springer International Publishing AG, Cham, Switzerland. It is expected to be published in 2017.

Research Interest: Lagrangian and Hamiltonian mechanics; classical and quantum electrodynamics; relativity theory, string theory and gravity; classical and quantum statistical physics and kinetic theory; quantum scattering theory; quantization problems in quantum mechanics and applications; quantum nonlinear optics; quantum Josephson type media; polaron theory; magnetohydrodynamics of plasma physics; hydrodynamics and turbulence theory; vortex theory aspects in magneto-dynamics; ergodic processes and dynamical chaos; solvable models of quantum statistical physics and elds theory

1. Integrable Dynamical Systems: di¤ erential-geometric and spectral as-
pects (monograph), Kiev, Naukova Dumka, 1987

2. Algebraic aspects of Nonlinear Dynamical Systems on Manifolds (mono-
graph), Kiev, Naukova Dumka, 1991

3. Algebraic integrability of nonlinear dynamical systems on manifolds:
classical and quantum aspects.(monograph) 1998, Kluwer Publishers, Dordrecht, the
Netherlands

4. Quantum Field Theory with Application to Quantum Nonlinear Op-
tics, World Scienti…c Publishers, 2002, New Jersey, USA

5. Di¤ erential-geometric and Lie-algebraic backgrounds of nonlinear in-
tegrable dynamical systems on functional manifolds, Second Edition, Lviv Univer-
sity Publisher, 2006, Lviv, Ukraine

6. Non linear dynamical systems of mathematical physics: spectral and dif-
ferential geometrical integrability analysis. (monograph) World Scienti…c Publ., NJ,
USA, 2011

Selected Articles:
1. The Lax solution to a Hamilton-Jacobi equation and its generalizations.: part II.
Nonlinear Analysis (USA), 2003, v.55, p. 629-640.(with Y.V. Mykytyuk and D.L. Black-
more)

2. The reduction method in the theory of Lie-algebraically inte-grable oscillatory Hamil-
tonian systems. Ukrainian Mathem.Journal. 2003, 55, N2, p. 232-240 (with V. Samoylenko
and U. Taneri)

3. The structure of Hermitean Darboux-Backlund transformations and their applica-
tions. Ukr. Mathem. Journal, 2003, v. 55, N4. (with V.G. Samoylenko)

4. On some class of factorized operator dynamical systems and their integrability. Mathematical Methods
and Physics-Mechanical Fields, 2003, v. 46, N2, p. 22.25 (with D.L. Blackmore)

5. The Lyapunov-Schmidt approach to studying homoclinics splitting in weakly per-
turbed Lagrangian and Hamiltonian systems. Ukrainian Mathem. Journal, 2003, v. 55,
N.1, p.66-74, 2004 (with A. Samoilenko and V. Samoylenko)

6. The Hopf algebras and the Heisenberg-Weil algebra related with integrable.‡ows.
Ukrainian Mathem. Journal, 2004, v. 56, N1, p.88-96 ( with A.M. Samoilenko, D.L. Black-
more)

7. The description of multi-agent interaction in complex systems, Journal of Nonlin.
Math. Physics, 2004 , v. 11, 3, p. 350-360 (with V.V. Ga…ychuk)

8. Replicator dynamics and mathematical description of multi-agent interaction in com-
plex systems, Journal of Nonlin. Math. Physics, 2004, v. 11, N1, p. 113-122 (with V.V.
Ga…ychuk)

9. A geometric approach to quantum holonomic computing algorithms. Mathematics
and Computers in Simulation, Elsevier Publ., 2004, v. 35, N2, p. 734-753 (with D. Black-
more and others)

11. The general di¤erential-geometric structure of multidimensional Delsarte transmu-
tation operators in parametric functional spaces and their applications in soliton theory.
Part 2. "Opuscula Mathematica", 2004, N 24, p. 71-83

12. Symplectic …eld theory approach to studying ergodic measures related with non-
autonomoues hamiltonian systems. "Universitat Jagiellonicae Acta Mathematicae", 2004,
November, p. 56-72

13. Symplectic analysis of the dynamical system associated with a stochastic replicator
Fisher type model. Applied Mathematics and Informatics series, Proceedings of the Lviv
National University, 2003, v. 6, p. 135-143 (with V.V. Ga…ychuk and M.M. Prytula)

14. Quantum chaos and its testing, "Theory of Stochastic processes", 2004, v. 10(26),
N 3-4 p.126-128 (with V. Ga…ychuk)

15. On some class of gradient dynamic systems associated with polynomial discrete
probability distribution. "Journal of Mathematical Methods and Phys.Mech. Fields", 2004,
v. 47, N1, p. 68-72 (with O. Hentosh)

16. Quantum Mathematics: Holonomic Computing Algorithms and Their Applications.
Part 2. Automatyka, wyd-wo AGH, 2004, cz.. p. 43-66

17. Pattern formation in neural dynamical systems governed by mutually Hamiltonian
and gradient vector …eld structures. "Condensed Matter Physics", 2004, v. 7, N3, p. 551-
563 (with V. V. Ga…ychuk)

18. Quantum-Holonomic computing algorithm via Lax type ‡ows on Grassmann man-
ifolds and dual momentum mappings. "Mathematical Bulletin", Lviv Sci. Society Publ.,
2004, v.1, p. 85-103 (with D. Blackmore and others)

19. Generalized de Rham-Hodge-Skrypnik theory: di¤erential-geometric and spectral
aspects. Ukrainian Mathematical Bulletin, 2005, v.2,N4, p. 550-582 (with Y. Prykarpatsky
and A. Samoilenko)

20. Ergodic dynamical systems: the order and chaos. Mathematical Bulletin, Lviv Sci.
Soc. Publ., 2005, v. 2, p. 8-15 (with M. Bogoliubov and M. Prytula)

21. Di¤erential-geometric foundations of nonlinear integrable dynamical systems on
functional manifolds, (Monography), Lviv University Publisher, The First Edition, 2005,
402 p., Lviv, Ukraine/Krakow, AGH (with O. Hentosh and M. Prytula, 2006)

22. The gradient-holonomic integrability analysis of a Whitham type nonlinear dy-
namical model for a relaxing medium with spatial memory, Nonlinearity, 2006, v. 19, p.
2115-2122 (with M. Prytula)

23. On the ergodic and spectral properties of generalized Boole transformations, Miskolc
Mathematical Notes, 2006, v. 7, N1, p. 91-99 (with J. Feldman)

24. Some analytical properties of dissolving operators related with the Cauchy problem
for a class of non-autonomous partial di¤erential equations. Part 1. Opuscula Mathematica,
2006, v. 26, N1, p. 131-136 (with M. Pytel-Kudela)

25. The integrability gradient-holonomic analysis of a nonlinear Whitham type model
for the relaxing medium with memory, Reports of the National Academy of Sciences, Kyiv,
2006, N5, p. 13-18 (with M. Prytula)

26. The spectral and di¤erential-geometric aspects of a generalized de Rham-Hodge
theory related with Delsarte transmutation operators in multi-dimension and its applica-
tions to spectral and soliton problems, Nonlinear Analysis, 2006, v. 65, N2, p. 395 (with
A. Samoilenko and Y. Prykarpatsky)

27. On Benney type hydrodynamical systems and their Boltzmann-Vlasov equations
kinetic models, the ICTP-Preprint, 2006, Trieste, Italy,IC/2006/006, p. 1-36 (with N. Bo-
golubov and D. Blackmore)

28. An in…nite-dimensional Borsuk-Ulam type generalization of the Leray-Schauder
type …xed point theorem and some applications. Ukrainian Mathematical Journal, Vol.
60, No. 1, 2008, pp. 100-106

29. The Lie-algebraic structures and integrability of di¤erential and di¤erential-di¤erence
nonlinear dynamical systems. The ICTP- Preprint, 2007, Trieste, Italy (with D. Blackmore
and N. Bogolubov (jr.)) 1. The Lax solution to a Hamilton-Jacobi equation and its gen-
eraizations.: part II. Nonlinear Analysis (USA), 2003, v.55, p. 629-640.(with Y.V. Mykytiuk
and D.L. Blackmore)

30. The reduction method in the theory of Lie-algebraically integrable oscillatory
Hamiltonian systems. Ukrainian Mathem.Journal. 2003, 55, N2, p. 232-240 (with V. Samoylenko
and U. Taneri)

31. The structure of Hermitean Darboux-Backlund transformations and their applica-
tions. Ukr. Mathem. Journal, 2003, v. 55, N4. (with V.G. Samoylenko)
32. On some class of factorized operator dynamical systems and their integrability.
Mathematical Methods and Physics-Mechanical Fields, 2003, v. 46, N2, p. 22.25 (with
D.L. Blackmore)

33. The Lyapunov-Schmidt approach to studying homoclinics splitting in weakly per-
turbed Lagrangian and Hamiltonian systems. Ukrainian Mathem. Journal, 2003, v. 55,
N.1, p.66-74 (with A. Samoilenko and V. Samoylenko), 2004

34. The Hopf algebras and the Heisenberg-Weil algebra related with integrable.‡ows.
Ukrainian Mathem. Journal, 2004, v. 56, N1, p.88-96 ( with A.M. Samoilenko, D.L. Black-
more)

35. The description of multi-agent interaction in complex systems, Journal of Nonlin.
Math. Physics, 2004 , v. 11, 3, p. 350-360 (with V.V. Ga…ychuk)

36. Replicator dynamics and mathematical description of multi-agent interaction in
complex systems, Journal of Nonlin. Math. Physics, 2004, v. 11, N1, p. 113-122 (with V.V.
Ga…ychuk)

37. A geometric approach to quantum holonomic computing algorithms. Mathemat-
ics and Computers in Simulation, Elsevier Publ., 2004, v. 35, N2, p. 734-753 (with D.
Blackmore and others)

38*. A geometrical approach to quantum holonomic computing algorithms. "Mathe-
matics and Computers in Simulation", Elsevier, 2004, v. 35, N2, p. 734-753. (with D.L.
Blackmore, A.M. Samoilenko, U.Taneri and Y.A. Prykarpatsky)

39. The general di¤erential-geometric structure of multidimensional Delsarte transmu-
tation operators in parametric functional spaces and their applications in soliton theory.
Part 2. "Opuscula Mathematica", 2004, N 24, p. 71-83

40. Symplectic …eld theory approach to studying ergodic measures related with non-
autonomous hamiltonian systems. "Universitat Jagellonicae Acta Mathematicae", 2004,
November, p. 56-72

41. Symplectic analysis of the dynamical system associated with a stochastic replicator
Fisher type model. Applied Mathematics and Informatics series, Proceedings of the Lviv
National University, 2003, v. 6, p. 135-143 (with V.V. Ga…ychuk and M.M. Prytula)

42. Quantum chaos and its testing, "Theory of Stochastic processes", 2004, v. 10(26),
N 3-4 p.126-128 (with V. Ga…ychuk)

43. On some class of gradient dynamic systems associated with polynomial discrete
probability distribution. "Journal of Mathematical Methods and Phys.Mech. Fields", 2004,
v. 47, N1, p. 68-72 (with O. Hentosh)

44. Quantum Mathematics: Holonomic Computing Algorithms and Their Applications.
Part 2. Automatyka, wyd-wo AGH, 2004, cz.. p. 43-66

45. Pattern formation in neural dynamical systems governed by mutually Hamiltonian
and gradient vector …eld structures. "Condensed Matter Physics", 2004, v. 7, N3, p. 551-
563 (with V. V. Ga…ychuk)

46*. Quantum-Holonomic computing algorithm via Lax type ‡ows on Grassmann man-
ifolds and dual momentum mappings. "Mathematical Bulletin", Lviv Sci. Society Publ.,
2004, v.1, p. 85-103 (with D. Blackmore and others)

47. On the Liouville-Arnold Integrable ‡ows related with quantum algebras and their
Poissonian representations. Publ. of the Inst. of Mathem., Kyiv, 2003-2004, Ukraina, 2004,
v.50, part 3, p. 1184-1191, 2005

48. The structure of Gelfand-Levitan -Marchenko type equations for Delsarte trans-
mutation operators of linear multidimensional di¤erential operators and operator pencils.
Part 1. Journal of Nonlin. Mathem. Physics, 2005, v.12(1), p. 73-87 (with J. Golenia and
Y. Prykarpatsky)

49. The structure of Gelfand-Levitan -Marchenko type equations for Delsrate trans-
mutation operators of linear multidimensional di¤erential opertaors and operator pencils.
Part 2. Journal of Nonlin. Mathem. Physics, 2005, v.12(3), p.381-408 (with J. Golenia, Y.
Prykarpatsky)

50*. The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type trans-
formations in multidimension. Central European Journal of Mathem., 2005, 3(3), p. 1-29
(with A.Samoilenko, Y. Prykarpatsky)

51*. The De Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in
multidimension and its applications. Reports on Mathem.Physics, 2005, v. 55(3), p. 351-
370 (with A. Samoilenko and Y. Prykarpatsky)

52. Integrability by quadratures of Hamiltonian systems and Picard-Fuchs type equa-
tions: the modern di¤erential-geometric aspects. Miskolc Mathem. Notes, 2005, v. 6(1), p.
65-103 (with A. Samoilenko, Y. Prykarpatsky and D. Blackmore)

53. A generalized de Rham-Hodge theory of multidimensional Delsarte transmutations
of di¤erential operators and its applications for nonlinear dynamical systems. Physics
of Particles and Nuclei, 2005, v. 36 (Suppl.), p. 110-121 (with N. Bogoliubov (jr), A.
Samoilenko and A. Prykarpatsky)

54. The geometric properties of reduced canonically symplectic spaces with symmetry,
their relationship with structures on associated principal …ber bundles and some applica-
tions. Part 1. Opuscula Mathematica, 2005, v. 25, N2, p.287-298 (with A. Samoilenko and
A. Prykarpatsky)

55. Integrability by quadratures of Hamiltonian systems and Picard-Fuchs type equa-
tions: the modern di¤erential-geometric aspects. Miskolc Mathem. Notes, 2005, v. 6(1), p.
65-103 (with A. Samoilenko, Y. Prykarpatsky and D. Blackmore)

56. Generalized de Rham-Hodge-Skrypnik theor: di¤erential-geometric and spectral
aspects. Ukrainian Mathematical Bulletin, 2005, v.2,N4, p. 550-582 (with Y. Prykarpatsky
and A. Samoilenko)

57. Ergodic dynamical systems: the order and chaos. NTSh- Mathematical Bulletin,
2005, v. 2, p. 8-15 (with M. Bogoliubov and M. Prytula)

58. A survey of the spectral and and di¤erential-geometric aspects of the generalized
de Rham-Hodge theory related with Delsarte transmutation operators in multi-dimension
and applications to spectral and soliton problems. Part 1, Applied Mathematics E-Notes,
2005, v. 5, p. 117-152

59. The ergodic measures related with non-autonomous Hamiltonian systems and their
homology structure, CUBO-Matehmatical Journal, 2005, v.7, N 3, p. 49-64 (with D. Black-
more and others)

60. A survey of the spectral and and di¤erential-geometric aspects of the generalized
de Rham-Hodge theory related with Delsarte transmutation operators in multi-dimension
and applications to spectral and soliton problems. Part 2, Applied Mathematics E-Notes,
2005, v. 6, p. 1-28

61. Construction of …nite-dimensional reductions on functional manifolds. Mathemati-
cal Methods and Phys.-Mech. Fileds, 2005, v. 48, N1, p. 7-14 ( with O. Bihun)

62. Mykola Bogolyubov - prefounder of contemporary mathematical physics and quan-
tum mathematics. Mathematical Bulletin of NTSh, v. 6 (2009), p. 6-13 (in Ukrainian)
(with A. Plichko)

63. Bulletin, Lviv Sci. Soc. Publ., 2005, v. 2, p. 8-15 (with M. Bogoliubov and M.
Prytula)

64. Di¤erential-geometric foundations of nonlinear integrable dynamical systems on
functional manifolds, (Monogra…a), Lviv University Publisher, The First Edition, 2005,
402 p., Lviv, Ukraine/Krakow, AGH (with O. Hentosh and M. Prytula, 2006

65. The gradient-holonomic integrability analysis of a Whitham type nonlinear dy-
namical model for a relaxing medium with spatial memory, Nonlinearity, 2006, v. 19, p.
2115-2122 (with M. Prytula)

66. On the ergodic and spectral properties of generalized Boole transformations, Miskolc
Mathematical Notes, 2006, v. 7, N1, p. 91-99 (with J. Feldman)

67. Some analytical properties of dissolving operators related with the Cauchy problem
for a class of non-autonomous partial di¤erential equations. Part 1. Opuscula Mathematica,
2006, v. 26, N1, p. 131-136 (with M. Pytel-Kudela)

68. The integrability gradient-holonomic analysis of a nonlinear Witham type model
for the relaxing medium with memory, Reports of the National Academy of Sciences, Kyiv,
2006, N5, p. 13-18 (with M. Prytula)

69*. The spectral and di¤erential-geometric aspects of a generalized de Rham-Hodge
theory related with Delsarte transmutation operators in multi-dimension and its applica-
tions to spectral and soliton problems, Nonlinear Analysis, 2006, v. 65, N2, p. 395 (with
A. Samoilenko and Y. Prykarpatsky)

70. On Benney type hydrodynamical systems and their Boltzmann-Vlasov equations
kinetic models, the Italy ICTP-Preprint (reviewed), 2006, IC/2006/006, p. 1-36 (with N.
Bogoliubov and D. Blackmore)

71. On generalized de Rham-Hodge complexes, the related characteristic Chern classes
and some applications to integrable multi dimensional di¤erential sytstems on Riemanni-
an manifolds. The ICTP-Preprint, 2006, Trieste, Italy, (Available at: publications.ictp.it)
IC/2006/107

72. The Lie-algebraic structures and integrability of di¤erential and di¤erential-di¤erence
nonlinear dynamical systems. The ICTP-Preprint, 2007, Trieste, Italy, (Available at: pub-
lications.ictp.it), IC/2007/029 (with D. Blackmore and N. Bogolubov (jr.))

73. Introductive backgrounds of modern quantum mathematics with application to
nonlinear dynamical systems. The ICTP-Preprint, 2007, Trieste, Italy, (Available at: pub-
lications.ictp.it), IC/2007/108 (with N. Bogolubov (jr.), U. Taneri and J. Golenia)

74. The di¤erential-geometric aspects of integrable dynamical systems. The ICTP-
Preprint, 2007, Trieste, Italy, (Available at: publica-tions.ictp.it), IC/2007/030 (with N.
Bogolubov (jr.), D. Blackmore, A. Samoilenko)

75. On the analytical structure of the Bogolubov generating functional method in classi-
cal statistical physics and related "collec-tive"variable method. The ICTP-Preprint, 2006,
Trieste, Italy, (Available at: publications.ictp.it), IC/2006/106 (with N. Bogolubov (jr.))

76. Analytical properties of an Ostrovsky-Whitham type dynamical system for a relax-
ing medium with spatial memory and its integrabil-ity. The ICTP-Preprint, 2007, Trieste,
Italy, (Available at: publica-tions.ictp.it), IC/2007/109 (with N. Bogolubov (jr.), J. Golenia
and I. Gucwa)

77. A symplectic generalization of the Peradzynski helicity theorem and some ap-
plications. The ICTP-Preprint, 2007, Trieste, Italy, (Available at: publications.ictp.it),
IC/2007/118, (with N. Bogolubov (jr.), J. Golenia)

78. A Borsuk-Ulam type generalization of the Leray-Schauder …xed point theorem. The
ICTP-Preprint, 2007, Trieste, Italy, (Available at: publications.ictp.it), IC/2007/028

79. A Symplectic Generalization of the Peradzynski Helicity Theorem and Some Ap-
plications. International Journal of Theoretical Physics, 47, 2008, p. 1919-1928 (with N.
Bogolubov (jr.) and J. Golenia)

80*. Introductive Backgrounds to Modern Quantum Mathematics with Application to
Nonlinear Dynamical Systems. International Journal of Theoretical Physics, March 25, 47:
2882-2897, 2008 (with N. Bogolubov (jr.), J. Golenia and U. Taneri)

81. The vacuum structure, special relativity theory and quantum mechanics: a …eld
theory no-geometry approach. The ICTP-Preprint, 2008, Trieste, Italy, (Available at: pub-
lications.ictp.it), IC/2008/051, arXiv:0807.3691v5 [gr-qc] 29 Jul 2008 (with N. Bogolubov
(jr.) and U. Taneri)

82. Di¤erential-geometric foundations of nonlinear integrable dynamical systems on
functional manifolds, (Monography), Lviv University Publisher, The Second Edition, re-
vised and supplemented. 2006, 408 p., Lviv, Ukraine/Krakow, AGH (with O. Hentosh and
M. Prytula)

83. Generalized de Rham-Hodge complexes, the related characteristic Chern classes,
and some applications to integrable multidimensional di¤erential systems on Riemannian
manifolds. Ukrainian Mathematical Journal, v. 59, Number 3 / March, 2007

84. Di¤erential-geometric and Lie-algebraic foundations of nonlinear dynamical systems
on functional manifolds. The Second edition, Lviv University Publisher, Lviv, Ukraine (in
Ukrainian)

85. On the complete integrability and linearization of the Nonlinear Burgers-Korteweg-
de Vries type equation (BKdV). Mathematical Methods and Physics-Mechanical Fields.
2008, v. 51, N4, p. 57-61 (with M. Prytula and M. Vovk)

86. Optimal strategy analysis of a competitive bank portfolio model of the share market.
Kyiv University of Technology and Design Proceedings. N2, 2008, p. 78-88 (with B.Yu.
Kyshakevych and I.P. Tverdokhlib)

87. A portfolio model of the share market. Abstracts of the Scienti…c Conference "Mod-
ern Problems of the Economical Cybernetucs Development", 9-10 April 2008, Kyiv, p.
30-32 (with B.Yu. Kyshakevych and I.P. Tverdokhlib)

88. Investigation of the optimal strategy analysis of a competitive bank portfolio model
of the share market. Proceedings of the Kyiv National University "Kyiv Polytechnical
Institute", N 2, 2008. (with B.Yu. Kyshakevych and I.P. Tverdokhlib)

89. Analysis of solutions of a non-canonical Hamilton-Jacobi equation using the gen-
eralized characteristics method and the Hopf-Lax representations. Nonlinear Analysis 71
(2009), p. 5084-5089 (with Miroslaw Lustyk, Julian Janus, Marzenna Pytel-Kudela)

90. On complete integrability and linearization of a nonlinear Burgers-Korteweg-de
vries type equation. Mathemetatical Methods and Physico-Mechanical Fields. 2008, 51,
N4, p. 99-102 (with M. Prytula and M. Vovk)

91. Quantum mathematics: backgrounds and some applications to nonlinear dynamical
systems. Nonlinear Oscillations, Springer, 11, N1, p. 7-20 (with N. Bogolubov (jr.), J.
Goilenia and U. Taneri)

92. The Characteristic Chern-Type Classes and Integrability of Multi-dimensional Dif-
ferential Systems on Riemannian Manifolds. 2008, p. 743-759. In World Scienti…c book:
http://www.worldscibooks.com/mathematics/7124.html, Proceedings of the ISAAC-2007
Congress: "Further Progress in Analysis", Proceedings of the 6th International ISAAC
Congress, (Ankara, Turkey 13 - 18 August 2007) (with N. Bogolubov (jr.))

93. Introductory Background to Modern Quantum Mathematics with Application to
Nonlinear Dynamical Systems, 2008, p. 760-780. In World Scienti…c book: http://www.
worldscibooks.com /mathematics/7124.html, Proceedings of the ISAAC-2007 Congress:
"Further Progress in Analysis", Proceedings of the 6th International ISAAC Congress,
(Ankara, Turkey 13 - 18 August 2007) (with J. Golenia, N. N. Bogolubov and U. Taneri)

94. The vacuum structure of vacuum, Maxwell equations and relativistic theory aspects.
The ICTP-Preprint, 2008, Trieste, Italy, (Available at: publications.ictp.it), IC/2008/091,
(with N. Bogolubov (jr))

95. The vacuum structure, special relativity theory and quantum mechanics: a return
to the …eld theory approach without geometry. Theoretical and Mathematical Physics,
160(2), 2009, p. 1079-1095 (with N. Bogolubov (jr.) and U. Taneri)

96*. The electromagnetic Lorentz condition problem and symplectic properties of
Maxwell- and Yang-Mills-type dynamical systems. J. Phys. A: Math. Theor. 42, 2009,
p. 165401 (with N. Bogolubov (jr.) and U. Taneri)

97. The Lagrangian and Hamiltonian formalism for the classical relativistic electrody-
namics models revisited. Ukr. J. Phys. 2009. Vol. 54, No. 8-9 (with N. Bogolubov (jr.))

98. The electromagnetic Dirac-Fock-Podolsky problem and symplectic properties of the
Maxwell and Yang-Mills type dynamical systems. The ICTP-Preprint, 2009, Trieste, Italy,
(Available at: publications.ictp.it), IC/2009/005, (with N. Bogolubov (jr), U. Taneri and
Y. Prykarpatsky)

99. On the complete integrability and linearization of a Burgers-Korteweg-de Vries
equation. Journal of Mathematical Sciences, Vol. 161, No. 1, 2009, p. 99-102 (with M. M.
Prytula and M. I. Vovk)

100. The algebraic structure of a linear Focker-Planck type kinetic dynamical system.
Mathematical Bulletin of NTSh, v. 6 (2009), p. 287-293 (with U. Taneri and M. Vovk)

1: Ranked first among the 2000 hemorrhages in pure mathematics at Mazandaran University.

2: Use of the first-rate quotas for admission to the 2006 Graduate Certificate in the Master's Degree Program at Mazandaran University, in the field of purely mathematical analysis, written by a written organization from the country's assessment and education organization.

3: Achievement of the third rank among the hemorrhages of the year 2005 in the master's degree of the University of Mazandaran  in the field of pure mathematics among all trends (geometry-geometry analysis) and among all the daily and university courses.

4: Students' participation in the polar stage at the University of Gilan, which participated in the years 2003-2003, after receiving a degree in mathematics at the University of Applied Sciences in Madrid, to send a student team to the Mathematical Olympiad.

5: earning the title of Senior Vice President of the Board of Directors of the Directorate of Planning and Budget of the IRGC in 2009.
6: Second place in high school in Babol, Shahid Beheshti University in 1998
7: Has a teaching ID in all Islamic Azad University units at 303107301229501
8: Has a teaching ID in the Applied Scientific Applied Sciences University at 9210000116798

9: Secondary and Secondary High School Grades in Babol Shahid Beheshti High School

10: Member of the Research and Young Researchers Club of the Islamic Azad University of Qa'im Shahr Bakht Identification 3972181070003

11 members of the editorial board of the IRJET International Journal of Engineering Technology

12: International Referee for Fuzzy Optimization and Modeling

Research Interest: Fixed point theorem, Measure of noncompactness, Functional Analysis, Real Analysis, Fuzzy Spaces, Impulsive Differential Equations

URL:Alireza Valipour Baboli - Google Scholar Citations; scholar.google.com/citations?user=62uLl0cAAAAJ&hl=en