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  <title>DSpace Collection:</title>
  <link rel="alternate" href="http://elibrary.kdpu.edu.ua/xmlui/handle/0564/56" />
  <subtitle />
  <id>http://elibrary.kdpu.edu.ua/xmlui/handle/0564/56</id>
  <updated>2026-06-07T02:45:27Z</updated>
  <dc:date>2026-06-07T02:45:27Z</dc:date>
  <entry>
    <title>Advanced Permutation Entropy Metrics for Bitcoin: Towards Robust Early Warning Indicators of Market Instability</title>
    <link rel="alternate" href="http://elibrary.kdpu.edu.ua/xmlui/handle/123456789/12085" />
    <author>
      <name>Soloviev, Vladimir</name>
    </author>
    <author>
      <name>Matviychuk, Andriy</name>
    </author>
    <author>
      <name>Bielinskyi, Andrii</name>
    </author>
    <author>
      <name>Myronenko, Timur</name>
    </author>
    <author>
      <name>Соловйов, Володимир Миколайович</name>
    </author>
    <author>
      <name>Матвійчук, Андрій Вікторович</name>
    </author>
    <author>
      <name>Бєлінський, Андрій Олександрович</name>
    </author>
    <author>
      <name>Мироненко, Тимур Ігорович</name>
    </author>
    <id>http://elibrary.kdpu.edu.ua/xmlui/handle/123456789/12085</id>
    <updated>2025-07-28T06:44:39Z</updated>
    <published>2025-07-09T00:00:00Z</published>
    <summary type="text">Title: Advanced Permutation Entropy Metrics for Bitcoin: Towards Robust Early Warning Indicators of Market Instability
Authors: Soloviev, Vladimir; Matviychuk, Andriy; Bielinskyi, Andrii; Myronenko, Timur; Соловйов, Володимир Миколайович; Матвійчук, Андрій Вікторович; Бєлінський, Андрій Олександрович; Мироненко, Тимур Ігорович
Abstract: The article explores the potential of advanced permutation entropy (PEn) techniques as early-warning indicators for detecting instability in cryptocurrency markets, specifically focusing on Bitcoin. While classical permutation entropy is a popular method for assessing time series complexity due to its simplicity and computational efficiency, it has limitations - especially in its inability to account for amplitude variations and identical values.&#xD;
&#xD;
To address these shortcomings, the authors present a comparative analysis of the classical PEn and three of its extended versions: Weighted Permutation Entropy (WPEn); Amplitude-Aware Permutation Entropy (AAPEn); Uniform Quantization-Based Permutation Entropy (UPEn). &#xD;
&#xD;
These methods are applied to the 2017–2018 Bitcoin market crash. The study reveals that advanced metrics, particularly AAPEn, are more sensitive to subtle changes in market dynamics that precede price collapses. AAPEn is highlighted for its ability to incorporate both the order and amplitude of data points, allowing it to detect significant fluctuations that may signal panic or uncertainty in the market.&#xD;
&#xD;
The results suggest that variations in advanced entropy metrics can serve as valuable indicators of market efficiency shifts and irregular patterns, making them promising tools for forecasting financial turbulence. The article concludes that incorporating such methods into financial risk management systems could significantly enhance the predictive capabilities of early-warning mechanisms in the volatile digital asset ecosystem.
Description: 1. Bandt, C., &amp; Pompe, B. (2002b). Permutation entropy: a natural complexity measure for time series. Physical Review Letters, 88(17). https://doi.org/10.1103/physrevlett.88.174102                                                                                                    &#xD;
2. Fadlallah, B., Chen, B., Keil, A., &amp; Príncipe, J. (2013b). Weighted permutation entropy: A complexity measure for time series incorporating amplitude &#xD;
information. Physical Review E, 87(2). https://doi.org/10.1103/physreve.87.022911&#xD;
3. Azami, H., &amp; Escudero, J. (2016b). Amplitude-aware permutation entropy: &#xD;
Illustration in spike detection and signal segmentation. Computer Methods and &#xD;
Programs in Biomedicine, 128, 40–51. https://doi.org/10.1016/j.cmpb.2016.02.008&#xD;
4. Chen, Z., Li, Y., Liang, H., &amp; Yu, J. (2019b). Improved Permutation Entropy &#xD;
for Measuring Complexity of Time Series under Noisy Condition. Complexity, &#xD;
2019(1). https://doi.org/10.1155/2019/1403829</summary>
    <dc:date>2025-07-09T00:00:00Z</dc:date>
  </entry>
  <entry>
    <title>Адгезія кристалічного CO2 до алюмінію: розрахунки з перших принципів</title>
    <link rel="alternate" href="http://elibrary.kdpu.edu.ua/xmlui/handle/123456789/12023" />
    <author>
      <name>Степанюк, Олександр Миколайович</name>
    </author>
    <author>
      <name>Балабай, Руслана Михайлівна</name>
    </author>
    <id>http://elibrary.kdpu.edu.ua/xmlui/handle/123456789/12023</id>
    <updated>2025-06-24T11:21:41Z</updated>
    <published>2025-01-01T00:00:00Z</published>
    <summary type="text">Title: Адгезія кристалічного CO2 до алюмінію: розрахунки з перших принципів
Authors: Степанюк, Олександр Миколайович; Балабай, Руслана Михайлівна
Abstract: У цій роботі досліджено адгезію кристалічного CO2 до алюмінієвої плівки з перших принципів, що є важливим для майбутніх марсіанських місій. Автори розрахували енергетичні рельєфи відриву, електричні заряди та сили, що діють на атоми, які адгезійно взаємодіють, використовуючи методи функціоналу електронної густини та псевдопотенціалу.
Description: 1. O.M. Stepanyuk, R.M. Balabai. Understanding from first principles of&#xD;
the mechanism of ice-solid adhesion. The International research and practice&#xD;
conference “Nanotechnology and nanomaterials” (NANO-2024). Abstract&#xD;
Book of participants of the International research and practice conference,&#xD;
Uzhorod, 21–24 August 2024. Kyiv, 2024. P. 374.&#xD;
https://drive.google.com/file/d/1_I2sb5lRxa8SCTPSjnFYNrr103akqQp/view?usp=sharing&#xD;
2. J. L. Foster, A. T. C. Chang, and D. K. Hall, W. P. Wergin and E.F. Erbe, J.&#xD;
Barton. Carbon dioxide crystals: An examination of their size, shape, and&#xD;
scattering properties at 37 GHz and comparisons with water ice (snow)&#xD;
measurements // JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 103,&#xD;
NO. Ell, PAGES 25,839-25,850, OCTOBER 25, 1998&#xD;
3. T.P. Mangan, C.G. Salzmann, J.M.C. Plane, B.J. Murray. CO2 ice structure&#xD;
and density under Martian atmospheric conditions // Icarus (2017) 1-8.&#xD;
http://dx.doi.org/10.1016/j.icarus.2017.03.012</summary>
    <dc:date>2025-01-01T00:00:00Z</dc:date>
  </entry>
  <entry>
    <title>Designing and evaluating an affordable Arduino-based lie detector prototype</title>
    <link rel="alternate" href="http://elibrary.kdpu.edu.ua/xmlui/handle/123456789/12022" />
    <author>
      <name>Правицький, Станіслав Вячеславович</name>
    </author>
    <author>
      <name>Мерзликін, Павло Володимирович</name>
    </author>
    <author>
      <name>Степанюк, Олександр Миколайович</name>
    </author>
    <id>http://elibrary.kdpu.edu.ua/xmlui/handle/123456789/12022</id>
    <updated>2025-06-25T07:23:23Z</updated>
    <published>2025-01-01T00:00:00Z</published>
    <summary type="text">Title: Designing and evaluating an affordable Arduino-based lie detector prototype
Authors: Правицький, Станіслав Вячеславович; Мерзликін, Павло Володимирович; Степанюк, Олександр Миколайович
Abstract: Lie detection is an important issue in various contexts ranging from criminal investigations to hiring processes.&#xD;
The paper covers the prototyping and evaluation of an affordable Arduino-based lie detector that integrates&#xD;
physiological sensors and machine learning to detect deception. Testing on 20 questions showed the detector&#xD;
achieved 55% accuracy in identifying truth and 45% accuracy in identifying lies, with an overall accuracy of 50%.&#xD;
While further refinements are needed, this prototype demonstrates the challenges of developing an accessible&#xD;
lie-detection system.
Description: [1] G. C. Bunn, ‘Supposing that truth is a woman, what then?’: The lie detector, the love machine, and the logic of fantasy, History of the Human Sciences 32 (2019) 135–163. doi:10.1177/&#xD;
0952695119867022.&#xD;
[2] E. Rusconi, T. Mitchener-Nissen, Prospects of functional magnetic resonance imaging as lie&#xD;
detector, Frontiers in Human Neuroscience (2013). doi:10.3389/fnhum.2013.00594.&#xD;
[3] BuildItDR, Arduino Lie Detector — projecthub.arduino.cc, https://projecthub.arduino.cc/BuildItDR/&#xD;
arduino-lie-detector-41f703, 2022.&#xD;
[4] S. Olfat, Arduino Polygraph Machine (Lie Detector) - ElectroPeak — electropeak.com, https:&#xD;
//electropeak.com/learn/arduino-lie-detector-polygraph-machine/, 2016.&#xD;
[5] C. A. Ruckmick, The truth about the lie detector, Journal of Applied Psychology 22 (1938) 50–58.&#xD;
doi:10.1037/h0059742.&#xD;
[6] W. G. Iacono, D. T. Lykken, The validity of the Lie detector: Two surveys of scientific opinion,&#xD;
Journal of Applied Psychology 82 (1997) 426–433. doi:10.1037/0021-9010.82.3.426.&#xD;
[7] D. T. Lykken, Psychology and the lie detector industry, The American psychologist 29 (1974)&#xD;
725–739. doi:10.1037/h0037441.&#xD;
[8] W. G. Iacono, Psychology and the lie detector industry: A fifty-year perspective, Biological&#xD;
Psychology 190 (2024) 108808. doi:10.1016/j.biopsycho.2024.108808.&#xD;
[9] N. Rodriguez-Diaz, D. Aspandi, F. M. Sukno, X. Binefa, Machine learning-based lie detector applied&#xD;
to a novel annotated game dataset, Future Internet 14 (2022). doi:10.3390/fi14010002.&#xD;
[10] J. J. Furedy, R. J. Heslegrave, Validity of the Lie Detector: A Psychophysiological Perspective,&#xD;
Criminal Justice and Behavior 15 (1988) 219–246. doi:10.1177/0093854888015002008.&#xD;
[11] V. Mellema, Lie Detector Tests, in: The Encyclopedia of Civil Liberties in America: Volumes&#xD;
One-Three, volume 2, 2015, pp. 567–568. doi:10.4324/9781315699868-398.&#xD;
[12] T. H. Feeley, M. J. Young, Humans as lie detectors: Some more second thoughts, Communication&#xD;
Quarterly 46 (1998) 109–126. doi:10.1080/01463379809370090.&#xD;
[13] T. R. Levine, C. N. H. Street, Lie-truth judgments: Adaptive lie detector account and truth-default&#xD;
theory compared and contrasted, Communication Theory 34 (2024) 143–153. doi:10.1093/ct/qtae008.</summary>
    <dc:date>2025-01-01T00:00:00Z</dc:date>
  </entry>
  <entry>
    <title>Design and evaluation of a personalized digital mathematics tutor for grade 6 learners</title>
    <link rel="alternate" href="http://elibrary.kdpu.edu.ua/xmlui/handle/123456789/12021" />
    <author>
      <name>Шокалюк, Світлана Вікторівна</name>
    </author>
    <author>
      <name>Кавецький, Андрій Олександрович</name>
    </author>
    <id>http://elibrary.kdpu.edu.ua/xmlui/handle/123456789/12021</id>
    <updated>2025-06-25T07:25:44Z</updated>
    <published>2025-01-01T00:00:00Z</published>
    <summary type="text">Title: Design and evaluation of a personalized digital mathematics tutor for grade 6 learners
Authors: Шокалюк, Світлана Вікторівна; Кавецький, Андрій Олександрович
Abstract: This paper presents the design, development, and evaluation of an adaptive mathematics assessment tool for grade&#xD;
6 students. The tool uses Python and CustomTkinter to create an engaging and personalized user experience. It&#xD;
generates adaptive questions, offers immediate feedback, and tracks student progress in a real-time. A quasiexperimental study was conducted, comparing the tool’s effectiveness with traditional assessment methods.&#xD;
Results indicate that students using the tool demonstrated more positive attitudes compared to the control group.&#xD;
System performance was also evaluated, showing an efficient and smooth user experience, with an average&#xD;
response time of 1.2 seconds. Future work will focus on expanding the tool’s content coverage and integrating&#xD;
machine learning techniques to further enhance adaptability and personalized feedback.
Description: [1] N. Hungi, M. Ngware, The effects of preschool participation on mathematics achievement of&#xD;
Grade 6 pupils in Uganda, Educational Research for Policy and Practice 17 (2018) 105–126.&#xD;
doi:10.1007/s10671-017-9218-y.&#xD;
[2] S. B. Mahlambi, A. S. Mawela, Exploring grade 6 mathematics teachers’ use of the language of&#xD;
learning and teaching in assessment for learning, Journal of Education (2021) 129–148. doi:10.&#xD;
17159/2520-9868/i82a08.&#xD;
[3] I. M. Christiansen, Y. Aungamuthu, The instability of kwazulu-natal grade 6 learners’ mathematics&#xD;
multiple choice test responses, African Journal of Research in Mathematics, Science and Technology&#xD;
Education 17 (2013) 162–172. doi:10.1080/10288457.2013.829598.&#xD;
[4] L. Fadieieva, S. Semerikov, Exploring the Interplay of Moodle Tools and Student Learning Outcomes: A Composite-Based Structural Equation Modelling Approach, in: E. Faure, Y. Tryus, T. Vartiainen, O. Danchenko, M. Bondarenko, C. Bazilo, G. Zaspa (Eds.), Information Technology for Education, Science, and Technics, volume 222 of Lecture Notes on Data Engineering and Communications Technologies, Springer Nature Switzerland, Cham, 2024, pp. 418–435.&#xD;
doi:10.1007/978-3-031-71804-5_28.&#xD;
[5] J. A. Ross, A. Hogaboam-Gray, C. Rolheiser, Student self-evaluation in grade 5-6 mathematics&#xD;
effects on problem- solving achievement, International Journal of Phytoremediation 21 (2002)&#xD;
43–58. doi:10.1207/S15326977EA0801_03.&#xD;
[6] M. J. Gierl, J. Bisanz, Anxieties and attitudes related to mathematics in grades 3 and 6, Journal of&#xD;
Experimental Education 63 (1995) 139–158. doi:10.1080/00220973.1995.9943818.&#xD;
[7] C.-H. Shang, E.-S. Lin, C.-Y. Juan, The discussion information computer technology integrates&#xD;
fitness of 6-7th grade mathematics teaching, in: 2011 International Conference on Electrical and&#xD;
Control Engineering, ICECE 2011 - Proceedings, 2011, pp. 6884–6888. doi:10.1109/ICECENG.&#xD;
2011.6056766.&#xD;
[8] A. Baki, S. Ö. Bütüner, The ways of using the history of mathematics in 6th, 7th and 8th grade&#xD;
mathematics textbooks; [6-7 ve 8. sınıf matematik ders kitaplarında matematik tarihinin kullanım&#xD;
şekilleri], Elementary Education Online 12 (2013) 849–872.&#xD;
[9] K.-T. Foerster, Integrating Programming into the Mathematics Curriculum: Combining Scratch&#xD;
and Geometry in Grades 6 and 7, in: Proceedings of the 17th Annual Conference on Information&#xD;
Technology Education, SIGITE ’16, Association for Computing Machinery, New York, NY, USA,&#xD;
2016, p. 91–96. URL: https://doi.org/10.1145/2978192.2978222. doi:10.1145/2978192.2978222.&#xD;
[10] E. A. Graf, Defining mathematics competency in the service of cognitively based assessment for&#xD;
grades 6 through 8, ETS Research Report Series 2009 (2009) i–46. doi:10.1002/j.2333-8504.&#xD;
2009.tb02199.x.&#xD;
[11] C.-Y. Juan, Demand and fitness of resource analysis of integrating information technology into&#xD;
instruction of mathematics on 6-7th grade, in: 2011 International Conference on Electrical and&#xD;
Control Engineering, ICECE 2011 - Proceedings, 2011, pp. 6469–6472. doi:10.1109/ICECENG.&#xD;
2011.6056854.&#xD;
[12] K. Vlasenko, O. Chumak, V. Achkan, I. Lovianova, O. Kondratyeva, Personal e-learning environment&#xD;
of a mathematics teacher, Universal Journal of Educational Research 8 (2020) 3527–3535. doi:10.&#xD;
13189/ujer.2020.080828.&#xD;
[13] S. Maoto, Creating a child friendly psychosocial learning environment in mathematics: A case&#xD;
of problem solving in grade 6, Mediterranean Journal of Social Sciences 5 (2014) 1048–1055.&#xD;
doi:10.5901/mjss.2014.v5n23p1048.&#xD;
[14] M. Chatterji, M. Lin, Designing non-cognitive construct measures that improve mathematics&#xD;
achievement in Grade 5-6 learners: A user-centered approach, Quality Assurance in Education 26&#xD;
(2018) 70–100. doi:10.1108/QAE-11-2017-0081.&#xD;
[15] G. Karagiannakis, M.-P. Noël, Mathematical profile test: A preliminary evaluation of an online&#xD;
assessment for mathematics skills of children in grades 1-6, Behavioral Sciences 10 (2020) 126.&#xD;
doi:10.3390/BS10080126.&#xD;
[16] J. Dietrichson, T. Filges, J. K. Seerup, R. H. Klokker, B. C. A. Viinholt, M. Bøg, M. Eiberg, Targeted&#xD;
school-based interventions for improving reading and mathematics for students with or at risk of&#xD;
academic difficulties in Grades K-6: A systematic review, Campbell Systematic Reviews 17 (2021)&#xD;
e1152. doi:10.1002/cl2.1152.&#xD;
[17] A. Kostikov, K. Vlasenko, I. Lovianova, S. Volkov, D. Kovalova, M. Zhuravlov, Assessment of&#xD;
Test Items Quality and Adaptive Testing on the Rasch Model, in: V. Ermolayev, D. Esteban,&#xD;
V. Yakovyna, H. C. Mayr, G. Zholtkevych, M. Nikitchenko, A. Spivakovsky (Eds.), Information and&#xD;
Communication Technologies in Education, Research, and Industrial Applications, volume 1698 of&#xD;
Communications in Computer and Information Science, Springer International Publishing, Cham,&#xD;
2022, pp. 252–271. doi:10.1007/978-3-031-20834-8_12.&#xD;
[18] D. Van Garderen, A. Scheuermann, C. Jackson, Developing representational ability in mathematics&#xD;
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Disability Quarterly 35 (2012) 24–38. doi:10.1177/0731948711429726.&#xD;
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reading, writing, and mathematics tests: Building explanations, Alberta Journal of Educational&#xD;
Research 49 (2003) 6–23. doi:10.55016/ojs/ajer.v49i1.54956.</summary>
    <dc:date>2025-01-01T00:00:00Z</dc:date>
  </entry>
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