nearest integer function (Q6583251)
function which returns the nearest integer to x; for half-integers, a rounding rule must be chosen, usually to round half-integers to the nearest even integer
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Current Data About nearest integer function
(P18) Image Provided By https://upload.wikimedia.org/wikipedia/commons/2/26/Nearest_integer.svg
(P31) (Q44106280)
(Q19856468)
(Q663208)
(P1568) (Q1174982)
(P2396) (Q47007735)
(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-\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}
(P6104) (Q8487137)
other details
aliases rounding to integer
round to integer
description function which returns the nearest integer to x; for half-integers, a rounding rule must be chosen, usually to round half-integers to the nearest even integer

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