One kind of inverse eigenvalue problems, whose solutions are required to be normal or diagonalizable matrices, is investigated in quaternionic quantum mechanics.
In this paper,we discuss definition of normal families of holomorphic function,analysis some connected conceptions,and obtain some normal rules of normal families of holomorphic function.
Considering the subnormal subgroups,some equivalent conditions for nilpotency of finite groups are given and a sufficient condition for nilpotency of finite groups is obtained.
In the practical applications of highly nonnormal matrices, these theorems may be more useful than their generalized eigenvalue special cases and may provide more descriptive information.
During piano playing and teaching, we should pay attention to rhythm changing of formal or informal rhythm, strong or weak beat, syncope or link line tercet or various slur.