The Well-Rounded Linear Function
نویسنده
چکیده
The generic linear function ax + b of a real variable, with a, b, x ∈ R, is usually evaluated as a scale function (product) followed by a translation (sum). Our main result shows that when such a function is variously combined with rounding functions (floor and ceiling), exactly 67 inequivalent rounded generic linear functions result, of which 38 are integer-valued and 29 are not. Several related results are also established, with elucidation of the relevant equivalence class structures. Submitted: June 27, 2000; Accepted: August 15, 2000. Mathematical Reviews Subject Classification (2000): 05A15, 11A99, 26A09.
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ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 8 شماره
صفحات -
تاریخ انتشار 2001