EULER'S CONTINUOUS FRACTION EXPANSION AND ITS APPLICATION IN ELECTRICAL CIRCUIT THEORY

Abstract

The use of continued fraction expansions in network theory is well known. An infinite continued fraction expansion, like an infinite series, can be calculated only by means of approximations. The convenience, for practical purposes, of a given expansion, depends on the degree of successive approximations. This problem is discussed for the case of Euler's infinite fraction expansion for the exponential expression exp(1/z) which provides a particularly interesting example for the analytic and circuit representation of highly singular systems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1961
Accession Number
AD0271922

Entities

People

  • Elde Pires Braga
  • Teodoro Oniga

Tags

DTIC Thesaurus Topics

  • Circuits
  • Electrical Circuits
  • Infinite Series
  • Network Science
  • Networks

Readers

  • Computational Fluid Dynamics (CFD)
  • Integrated Circuit Design and Technology.
  • Statistical inference.