Characteristics of Floor and Ceiling Function/Historical Note
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Historical Note on Characteristics of Floor and Ceiling Function
The result Characteristics of Floor and Ceiling Function was presented by Peter Eisele and Karl Peter Hadeler in $1990$.
The previous work done in $1905$ by Georg Hamel to establish that the result does not necessarily hold in the real domain is to be noted.
Sources
- 1990: P. Eisele and K.P. Hadeler: Games of cards, dynamical systems, and a characterization of the floor and ceiling functions (Amer. Math. Monthly Vol. 97: pp. 466 – 477) www.jstor.org/stable/2323829
- 1997: Donald E. Knuth: The Art of Computer Programming: Volume 1: Fundamental Algorithms (3rd ed.) ... (previous) ... (next): $\S 1.2.4$: Integer Functions and Elementary Number Theory: Exercise $49$: Answers to Exercises