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In Greek mythology, the chimera was a three-headed, fire-breathing monster---partly lion, partly goat, partly serpent. In the nonlinear dynamics community, however, the chimera state refers to a similarly incongruent pattern, coexistence of coherence and incoherence in networks of coupled oscillators. The chimera phenomenon has fundamental implications that the processes occurring in nature favor a less symmetric configuration, although the underlying principles can be symmetric. Such chimera states have attracted great interest and have been the subject of intensive theoretical...

In this book, we are going to consider the elegant problems showing the relationships between the mathematical constants along with their solutions. The mathematical constants we are going to consider in this book include not only the well-known constants such as ln2, Pi, Napier's constant, Euler's constant, also various constants such as Riemann zeta function and Polylogarithm function coming out frequently in mathematical analysis.This book contains the open problems presented in several mathematical reference books and detailed solution of challenging problems, and also their new...