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GRAPH THEORY AND NETWORK EQUATIONS
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admittance matrix analytic function branch capacitor coefficients cofactors column compute consider contour convergence convolution corresponding current source cut-set defined derivative determinant differential equation driving-point eigenvalues elements equal equivalent evaluate example excitation expression finite formula frequency function F(s given Hence Hurwitz polynomial illustrate imaginary impulse incidence matrix inductor infinity input integral inverse Laplace transform Liapunov function linear locally integrable function lossless multiport negative network function network in Fig node equations nonsingular nonzero norm normal obtained one-port open-circuit output parameters poles polynomial port positive definite positive real function Problem properties quadratic form ratio rational function reactance reactance function relationships resistor response result right half-plane s-plane satisfied scalar scattering parameters short-circuit shown in Fig signal-flow graph singular point solution Suppose terminals theorem transfer function tree twigs two-port two-tree variables vector verify voltage source y-parameters zero