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This book constitutes the refereed proceedings of the 8th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2019, held in Gebze, Turkey, in November 2019. The 22 revised papers and 14 short papers presented were carefully reviewed and selected from 66 submissions. The papers are organized in the following topical sections: algorithms and foundation; security and cryptography; combinatorics, codes, designs and graphs; data modeling and machine learning; tools and software track.
This book describes a truly remarkable musical instrument „o the Steelpan (Pan) „o a melodic percussion instrument that produces tones of immense beauty. This instrument is the National Instrument of the twin islands of Trinidad and Tobago. The concepts, the ideas, the theories, the physics and the mathematics contained in this book are the answers to the question the author asked himself as a little boy peering over the face of a ping pong steelpan, ¡¥how does it work?¡¦ Revealed, are the subtleties and secrets of the instrument¡¦s operation, its laws, its construction and details of its tuning. Contained herein is the information sought by pan musicians, pan makers, panists, pan researchers and ¡¥pan lovers¡¦ „o nothing is left out. The rigor of the analytical methods of this book matches, in depth and intensity, the expert craftsmanship of the Master Pan Maker and Tuner. There is a unifying force within this book that combines the stick-note impacts to the panist¡¦s creativity in his production of musical tones. This book doesn¡¦t dodge the difficult questions; it ends with a chapter on the exotic non-musical features of the steelpan.
Mathematicians from various countries assemble computational techniques that have developed and described over the past two decades to analyze matrices with structure, which are encountered in a wide variety of problems in pure and applied mathematics and in engineering. The 16 studies are on asymptotical spectral properties; algorithm design and analysis; issues specifically relating to structures, algebras, and polynomials; and image processing and differential equations. c. Book News Inc.
The zeros of a polynomial can be readily recovered from its linear factors. The linear factors can be approximated by first splitting a polynomial numerically into the product of its two nonconstant factors and then recursively splitting every computed nonlinear factor in similar fashion. For both the worst and average case inputs the resulting algorithms solve the polynomial factorization and root-finding problems within fixed sufficiently small error bounds by using nearly optimal arithmetic and Boolean time, that is using nearly optimal numbers of arithmetic and bitwise operations; in the case of a polynomial with integer coefficients and simple roots we can immediately extend factorizati...
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