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So the floor function would round down k to n if k >= n+1, is there a commonly used name/symbol for a function where it rounds down is k > n+1? So for example,

f(4)=3

f(4.0001)=4

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    $\begingroup$ This is one less than the ceiling function. Thus $f(x)=\lceil x \rceil -1$ $\endgroup$ – lulu May 6 '18 at 14:28
  • $\begingroup$ Oh of course thank you $\endgroup$ – Leosha May 6 '18 at 14:29
  • $\begingroup$ How do I mark it as solved? $\endgroup$ – Leosha May 6 '18 at 14:30
  • $\begingroup$ I'll post it below, then you can just accept that answer. $\endgroup$ – lulu May 6 '18 at 14:30
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As requested in the comments:

This is one less than the ceiling function. Thus $f(x)=\lceil x \rceil -1$.

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