
06659268
j
2016f.01132
Shiu, Peter
Four functions and a bijection.
Math. Spectr. 48, No. 3, 116118 (2016).
2016
Applied Probability Trust (APT) c/o University of Sheffield, School of Mathematics and Statistics (SoMaS), Sheffield
EN
I20
I30
integer functions
real bijection
Summary: By applying the floor and ceiling operations to real numbers, a real function can be discretized to give a new function on the integers. Much information will, of course, be lost in such a process, but perhaps some intrinsic property concerning order may be retained. Even for the integers, inequalities can be tricky, and the article may serve as a useful exercise in their manipulation.