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{\bf Roger B. Eggleton}
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{\bf The Well-Rounded Linear Function}
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The generic linear function $ax+b$ of a real variable, with $a, b, x \in
{\bf R}$, 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.

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