Pure and Applied Mathematics From an Industrial Perspective

  • H. O. Pollak
Conference paper


The ostensible purpose of this talk is to comment on the difference between pure and applied mathematics from the point of view of a mathematician in a high-technology, diverse, industry. A second purpose, however, must also be admitted, and that purpose is nostalgic. I shall reminisce about mathematical life in the Bell Laboratories before the divestiture of the Bell System. It was exciting and enjoyable, and the excitement and joy will probably come through in this writing. Let no one draw the conclusion that life is less exciting and less enjoyable in any of the successor companies after January, 1984; I have simply recorded, and pondered the implications of, mathematics in a structure which has, like many structures, undergone some changes.


Bell Laboratory Hydrocarbon Emission Commercial Paper Twisted Pair Prolate Spheroidal Wave Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    J. McKenna, D. Mitra and K. G. Ramakrishnan, “A class of closed Markovian queuing networks: integral representations, asymptotic expansions, generalizations,” Bell Sys. Tech. J., 60 (May-June 1981 ).Google Scholar
  2. [2]
    A Cohen, J. M. Schilling and I. J. Terpenning, “Dealer issued commercial paper: analysis of data,” Proceedings of the Business and Economic Statistics Section, American Statistical Association, 1979, 162–164.Google Scholar
  3. [3]
    H. O. Pollak and D. Slepian, “Prolate spheroidal wave functions, Fourier analysis and uncertainty - I,” Bell Sys. Tech. J., 40 (January 1961), 43–64; Monograph 3746.MathSciNetMATHGoogle Scholar
  4. [4]
    H. O. Pollak and H. J. Landau, “Prolate spheroidal wave functions, Fourier analysis and uncertainty, II,” Bell Sys. Tech. J. (January 1961).Google Scholar
  5. [5]
    H. J. Landau and H. O. Pollak, “Prolate spheroidal functions, Fourier analysis and uncertainty, III. The dimension of the space of essentially time- and band- limited signals,” Bell Sys. Tech. J., 41 (July 1962), 1295–1336.MathSciNetMATHGoogle Scholar
  6. [6]
    E. N. Gilbert, “The packing problem for twisted pairs,” Bell Sys. Tech. J., 58 (December 1979), 2143–2162.MATHGoogle Scholar
  7. [7]
    J. H. Conway and N. J. A. Sloane, “Fast quantizing and decoding algorithms for lattice quantizers and codes,” IEEE Trans, on Information Theory, IT-28 (1982), 227–232.Google Scholar
  8. [8]
    E. B. Fowlkes, J. D. Gabbe and J. E. McRae, “A graphical technique for making a two-dimensional display of multidimensional clusters,” Proceedings of the Business and Economics Statistics Section of the American Statistical Association, 1976.Google Scholar
  9. [9]
    W. S. Cleveland and T. E. Graedel, “Photochemical air pollution in the Northeast United States,” Science, 204 (1979), 1273–1278.CrossRefGoogle Scholar
  10. [10]
    Y. Vardi, “Absenteeism of operators: a statistical study with managerial applications,” Bell Sys. Tech. J., 60 (1981), 13–38.Google Scholar
  11. [11]
    S. Lin, “Effective use of heuristic algorithm in network design,” in The Mathematics of Networks, AMS Short Course Publication Series, 1982.Google Scholar
  12. [12]
    J. McKenna and N. L. Schryer, “On the accuracy of the depletion layer approximation for charge-coupled devices,” Bell Sys. Tech. J., 51 (1972), 1471–1485.Google Scholar
  13. [13]
    J. McKenna and N. L. Schryer, “The potential in a charge-coupled device with no mobile minority carriers,” Bell Sys. Tech. J., 52 (December 1973), 1765–1793.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1986

Authors and Affiliations

  • H. O. Pollak
    • 1
  1. 1.Bell Communications ResearchMorristownUSA

Personalised recommendations