Sec. 3.4] 



LOSSLESS REDUCTION OF TERMINAL PAIRS 



27 



Fig. 3.2a. Reduction of w-terminal-pair network to (« — k) terminal pairs. 



n-k+l 



Variable 

 lossless 

 network 



n—k 



Lossless 



(2n-^)-termlnal-pair 



network 



Z, E 



Fig. 3.2b. Successive reductions of «- terminal-pair network to (n — k) terminal pairs and 



one terminal pair. 



Since the number of terminal pairs is changed in the lossless reduction 

 just considered, the theorem on the preservation of the eigenvalues under 

 lossless transformations (p. 25) does not apply. While the new eigen- 

 values of the reduced network do lie within the range of the original ones, 

 their values will usually be different. 



