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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...

The Archimedes constant or Napier's constant are famous mathematical constants that we often encounter in many fields of mathematics and engineering. All scientists know the importance of these constants. Many mathematical constants are important not only in scientific and technological calculations but also in understanding the nature of phenomena and in solving unsolved problems. Still, the nature of many constants has not been fully elucidated, and even some of them have not been characterized by simple properties. Hence, it is very important to develop methods for studying constants. We...