nearest integer function

Summary

nearest integer function is an idempotent function^[1]. It draws 5 Wikipedia views per month (idempotent_function category, ranking #4 of 3).^[2]

Key Facts

• nearest integer function's image is recorded as Nearest integer.svg^[3].
• nearest integer function's instance of is recorded as idempotent function^[4].
• nearest integer function's instance of is recorded as integer-valued function^[5].
• nearest integer function's instance of is recorded as rounding^[6].
• nearest integer function's definition domain is recorded as set of real numbers^[7].
• nearest integer function's different from is recorded as floor and ceiling functions^[8].
• nearest integer function's image of function is recorded as set of integers^[9].
• nearest integer function's defining formula is recorded as x \mapsto \begin{cases} \lfloor x\rfloor & (x-\lfloor x\rfloor < 1/2) \ \lfloor x \rfloor +1 & (x-\lfloor x\rfloor > 1/2) \ \lfloor x\rfloor & (x-\lfloor x\rfloor = 1/2,\;\lfloor x\rfloor \equiv 0 \pmod 2) \\lfloor x\rfloor + 1 & (x-\lfloor x\rfloor = 1/2,\;\lfloor x\rfloor \equiv 1 \pmod 2) \end{cases}<sup id="cite-C8" class="cite-ref" title="nearest integer function — defining formula (P2534): x \mapsto \begin{cases} \lfloor x\rfloor & (x-\lfloor x\rfloor < 1/2) \ \lfloor x \rfloor +1 & (x-\lfloor x\rfloor > 1/2) \ \lfloor x\rfloor & (x">[10].
• nearest integer function's Google Knowledge Graph ID is recorded as /g/124xvxhnc^[11].
• nearest integer function's MathWorld ID is recorded as NearestIntegerFunction^[12].
• nearest integer function's maintained by WikiProject is recorded as WikiProject Mathematics^[13].

Why It Matters

nearest integer function draws 5 Wikipedia views per month (idempotent_function category, ranking #4 of 3).^[2]