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Linear Congruences

  • Manfred R. Schroeder
Part of the Springer Series in Information Sciences book series (SSINF, volume 7)

Abstract

Suppose a certain airline is consistently 25 hours late in departure and arrival (this has happened, but no names will be mentioned) while another one, flying the same route, is only 2 to 3 hours late. If you were in a hurry, which airline would you fly — food, lack of leg room and all else being equal? Obviously, being 25 hours late is as good (or bad) as being only 1 hour late. In other words, in a daily recurring event an extra day, or even several, makes no difference. The mathematics that deals with this kind of situation is called modular arithmetic, because only remainders modulo a given integer matter.

Keywords

Path Difference Residue Class Chinese Remainder Theorem Composite Number Modular Arithmetic 
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.

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References

  1. 6.1
    G.H. Hardy, E. M. Wright: An Introduction to the Theory of Numbers, 5th ed., Sect. 5.2 (Clarendon, Oxford 1984)Google Scholar
  2. 6.2
    P. J. Davis: The Lore of Large Numbers (Random House, New York 1961)Google Scholar
  3. 6.3
    L. E. Dickson: History of the Theory of Numbers, Vols. 1–3 (Chelsea, New York 1952)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Manfred R. Schroeder
    • 1
    • 2
  1. 1.Drittes Physikalisches InstitutUniversität GöttingenGöttingenGermany
  2. 2.Bell LaboratoriesAcoustics Speech and Mechanics ResearchMurray HillUSA

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