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A new method is presented for obtaining network functions in which some, none, or all of the network elements are represented by symbolic parameters (i.e., symbolic network functions). Unlike the topological tree enumeration or signal flow graph methods generally used to derive symbolic network functions, this new process uses fast, efficient, numerical-type algorithms to determine the contribution of those network branches not represented by symbolic parameters. A computer program [Network Analysis Program Using Parameter Extractions (NAPPE)] that incorporates all of the concepts discussed in this paper has been written. Several examples illustrating the usefulness and efficiency of NAPPE are included.