Symbols:Number Theory/Nearest Integer
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Nearest Integer Function
- $\nint x$
The nearest integer function is defined as:
- $\forall x \in \R: \nint x = \begin {cases} \floor {x + \dfrac 1 2} & : x \notin 2 \Z + \dfrac 1 2 \\ x - \dfrac 1 2 & : x \in 2 \Z + \dfrac 1 2 \end{cases}$
where $\floor x$ is the floor function.
The $\LaTeX$ code for \(\nint x\) is \nint x
.