Title :
The Steady-State Operational Calculus
Author_Institution :
University of Missouri, Columbia, Missouri
Abstract :
The direct and inverse transforms of the steady-state operational calculus are presented, together with two methods of evaluating the inverse transform, the first resulting in a Fourier series and the second giving a sum function. A proof of the inversion theorem connecting the two transforms is outlined in the Appendix. Two examples are presented illustrating the application of this operational calculus to circuit problems, and a comparison is made between the ordinary and the steady-state operational calculuses.
Keywords :
Calculus; Circuits; Differential equations; Fourier series; Fourier transforms; Helium; Joining processes; Senior members; Steady-state; Voltage;
Journal_Title :
Proceedings of the IRE
DOI :
10.1109/JRPROC.1946.233566