DETEI^MINANTS 



WWV 



D = 



"Z,2 /^2 "^23 ~^24 ^ "^26 



-z„ -z„ z, -z„ z„ o 



O ~Z24 ~Z54 Z4 "Z45 ~Z4e 



-z„ O -Z3, z« z, z,. 



k-l 



D 



Driving point impedance in mesh j = Z(ji)= -^z 



Transfer impedance between meshj and mesh k= Z(j|i) = "k— ■ 



( Dj|<. = the first minor of the element Zj|^ in D ) 



Many propertirs of the complicated networks studied at Bell Telephone Laboratories are most 



conveniently expressed by means of determinants. Above are shown a six-ntesh network; its 



"circuit discriminant", D; and some formulae which illustrate how simply the properties of the 



system can be found from D. Note that, since Zjk = Zkj, D is symmetrical. 



