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ABSTRACT
In a well-known SIGACT/NEWS paper, Knuth sets forth the asymptotic notation by which we all now live [K76]. He closes his discussion with: "I propose that members of SIGACT (...) adopt the O, Ω and Θ notations as defined above, unless a better alternative can be found reasonably soon". Although one can hardly consider nearly a full decade later as being "reasonably soon", I would like to share with you my thoughts on the subject.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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[Bl69] Blanchard, A., Initiation à to théorie analytique des nombres premiers, Dunod, Reading: Paris, 1969.
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[HL14] Hardy, G. H. and J. E. Littlewood, "Some problems of Diophantine approximation", Acta Mathematics, Vol. 37, 1914, pp. 155-238.
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[HS78] Horowitz, E. and S. Sahni, Fundamentals of Computer Algorithms, Computer Science Press, Reading: MD, 1978.
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[K68] Knuth, D. E., The Art of Computer Programming, Vol. 1: Fundamental Algorithms, first edition, Addison-Wesley, Reading: MA, 1968.
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[K73] Knuth, D. E., The Art of Computer Programming, Vol. 1: Fundamental Algorithms, second edition, Addison-Wesley, Reading: MA, 1973.
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[L85] Leichter, J., private electronic communication.
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[P85] Pstashnik, O., private electronic communication.
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[S74] Seiferas, J. I., Nondeterministic Time and Space Complexity Classes, Department of Electrical Engineering and Computer Science, MIT, 1974.
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[vEB85] van Emde Boas, P., private electronic communication.
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