1st Edition

Reading Randomness I New Horizons for Understanding Fractal and Fractional Calculus

By Raoul R. Nigmatullin, YangQuan Chen Copyright 2027
240 Pages 130 B/W Illustrations
by CRC Press

Reading Randomness I shows readers how to understand and analyze seemingly “noisy” and irregular data. It offers practical methods for comparing and labeling fluctuations, ensuring reproducible results across laboratories, industries, and research fields. The book begins with a narrative tour of how people have understood chance, from ancient divination and games to modern probability,... Read more

1. An Introduction to Reading Randomness  2. Discrete Geometrical Invariants (DGI) Based Methods  3. NOCFASS (Non-Orthogonal Combined Fourier Analysis of Smoothed Signals) Methods  4. Generalized Correlations Based Methods  5. Generalized Methods Using Fractional Calculi  6. Hereditary Principled Methods  7. Conclusion and Future Opportunities

Biography

Raoul R. Nigmatullin is Professor at the Radioelectronics and Informative Measurements Technics Department, Kazan National Research Technical University, named after A.N. Tupolev. His research interests include dielectric spectroscopy in electrochemistry and new treatment methods in radiometry.

YangQuan Chen, a Clarivate Highly Cited Researcher, is a professor at the School of Engineering, University of California, Merced. His research interests include smart control engineering via digital twins and applied fractional calculus in STEM.