Die Verwirklichung von Wechselstromwiderständen vorgeschriebener Frequenzabhängigkeit

Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications

“…As far as we know, Stieltjes did not associate any physical object with this continued fraction. The first physical interpretation of finite continued fractions was given by W. Cauer [49] in connection with the theory of synthesis of electrical circuits. He gave a continued fraction representation for RC driving point impedances, see also [102, p. 119].…”

The control of an elastic fluid

“…The theorem may be extended to the zeros and poles of the function w(K)+P where P is a positive constant and may also be extended to certain integral equations of type O^s^c. Proofs and extensions of the reactance theorem have been given by Cauer, 102 Baerwald, 103 Epheser and Glubrecht 104 and many other writ-ers. There are also extensions to the case in which the quadratic forms (xgx), (xhx), (xkx) contain an infinite number of variables and to the case in which the range of integration 0 to c is infinite in the last mentioned theorem.…”

Matrices in Electric Circuit Theory

“…Equivalence. 12 Two matrices A and B with elements in a principal ideal ring P are said to be equivalent if two unimodular matrices U and V exist with elements in P such that A = UBV.…”