Ying-Cheng Lai
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Ying-Cheng Lai
Ying-Cheng Lai is a Chinese theoretical physicist/electrical engineer who works in the field of chaos theory and complex dynamical systems. He is among the pioneers in the field of relativistic quantum chaos. Currently, he works at Arizona State University as a Regents Professor. He also holds an ISS Chair Professorship in Electrical Engineering. Research areas Ying-Cheng Lai received BS and MS degrees in optical engineering from Zhejiang University in 1982 and 1985, and MS and PhD degrees in physics from University of Maryland at College Park in 1989 and 1992, respectively. He wrote his PhD thesis on classical and quantum chaos under Celso Grebogi, James A. Yorke and Edward Ott. From 1992 to 1994 he was a postdoctoral fellow in the Biomedical Engineering Department at the Johns Hopkins University School of Medicine under Raimond Winslow and Murray Sachs. He joined the University of Kansas in 1994 as an assistant professor of physics and mathematics and became an associate profes ...
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Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of t ...
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