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The calculation of the vector representation of resonators in the coupling and loss eigenstate spaces is presented. The coupling and loss eigenstates are located in a Cartesian coordinate system, together with the vector representation of resonators. The convenience of this representation is illustrated by calculations of the coupling factor and the loss factor in an octant of space in which resonators are positioned

Vector representation of resonators in eigencoupling state space and eigenloss state space of piezoelectric ceramics