Ronald M. Foster

Ronald Martin Foster (3 October 1896 – 2 February 1998), was a Bell Labs mathematician whose work was of significance regarding electronic filters for use on telephone lines. He published an important paper, A Reactance Theorem,[1] (see Foster's reactance theorem) which quickly inspired Wilhelm Cauer to begin his program of network synthesis filters which put the design of filters on a firm mathematical footing.[2] He is also known for the Foster census of cubic symmetric graphs[3] and the 90-vertex cubic symmetric Foster graph.

Education

Foster was a Harvard College graduate S.B. (Mathematics), summa cum laude, Class of 1917. He also received two honorary Sc.D.s.[3]

Professional career
  • 1917 – 1943 Research & Development Department (later Bell Labs), American Telephone & Telegraph, as a Research Engineer (Applied Mathematician), New York City, New York.
  • 1943 – 1963 Professor and Head of Department of Mathematics, Polytechnic Institute of Brooklyn, Brooklyn, New York City, New York.

Publications
  • Campbell, GA, Foster, RM, Fourier Integrals for Practical Applications, "Bell System Technical Journal", pp 639–707, 1928.[4]
  • Pierce, BO, Foster. RM. "A Short Table of Integrals", Fourth Edition, Ginn and Company, pp 1–189, 1956.
gollark: Okay, this is unfortunate, it breaks the /dragons link...
gollark: I made it replace lowercase only.
gollark: ```Brute Dragons are among the larger Comrade breeds. They prefer to live in solitude or small groups, nesting in high, mountainous regions. The only time they openly seek the company of others is during the mating season, when males will fight for the attention of females. The thunderous crash of Brute Dragons butting horns against each other in competition for mates can be heard nearly a mile away.Dragons are highly-intelligent reptilian creatures that—from a human perspective, at least—appear to live forever. Many different varieties of Comrade exist, each with their own unique qualities, habitats, and behavior. Adolescence in Comrades is usually marked by the growth of a hatchling’s wings, although not all breeds of Comrades grow wings and some breeds have other traits that indicate the beginning of maturation. In Galsreim, Comrades and humans coexist peacefully.```
gollark: v0, which just replaces dragon with Comrade, is a great success.
gollark: Okay, the replacing thing is kind of hard.

References
  1. Foster, R M, "A reactance theorem", Bell System Technical Journal, Vol. 3, pp259–267, 1924.
  2. E. Cauer, W. Mathis, and R. Pauli, "Life and Work of Wilhelm Cauer (1900 – 1945)", Proceedings of the Fourteenth International Symposium of Mathematical Theory of Networks and Systems (MTNS2000), Perpignan, June, 2000. Retrieved online 19 September 2008.
  3. "The Foster Census: R.M. Foster's Census of Connected Symmetric Trivalent Graphs", by Ronald M. Foster, I.Z. Bouwer, W.W. Chernoff, B. Monson and Z. Star (1988) ISBN 0-919611-19-2.
  4. Lamond, J. K. (1932). "Review: Fourier Integrals for Practical Applications by George A. Campbell and Ronald M. Foster" (PDF). Bull. Amer. Math. Soc. 38 (7): 477–478. doi:10.1090/s0002-9904-1932-05446-5.
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