Polynomials Involving the Floor Function.

Inger Johanne Håland, Donald E. Knuth

Type: Article

Publication Date: 1995-12-01

Citations: 9

DOI: https://doi.org/10.7146/math.scand.a-12534

Abstract

Some identities are presented that generalize the formula x^3 = 3x floor(x floor(x)) - 3 floor(x) floor(x floor(x)) + floor(x)^3 + 3 frac(x) frac(x floor(x)) + frac(x)^3 to a representation of the product x_0x_1 ... x_{n-1}.

Locations

MATHEMATICA SCANDINAVICA - View - PDF

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