Talk:Nearest integer function

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Don't agree with the definition

I'm not sure I agree with the idea that we always round to an even number. I think it is more common, natural and useful to round up in the event of a half-integer. 137.205.139.149 22:46, 13 January 2007 (UTC)[reply]

Agreed. In fortran 95 the standard is to round up. 90.185.194.71 (talk) 13:41, 29 December 2011 (UTC)[reply]

Notation

I see that the MathWorld site uses [x] but this is quite unusual: [x] has more often been used for integer part in the past. One notation that I have seen often is $\lfloor x\rceil$ , although for some reason I find this faintly disturbing. More old-fashioned is $\Vert x\Vert$ . I'll find some references. Richard Pinch (talk) 19:05, 16 August 2008 (UTC)[reply]

Graph

The graph shown is a bit confusing, in that the point on the x-axis crossed by the y-axis is -0.5 rather than 0, and there are no other x-axis labels. It's hard to see the primary difference from the floor function, this way. --67.242.12.135 (talk) 11:05, 26 August 2008 (UTC)[reply]

The image is quite terrible. I'm removing it. -71.195.18.33 (talk) 18:14, 13 October 2009 (UTC)[reply]

Nearest even integer?

I've never seen the convention that the round function rounds half-integers to the nearest even integer -- is there any citation for this being "usual"? --Joel B. Lewis (talk) 00:55, 3 July 2011 (UTC)[reply]

It is in the IEEE 754 floating point standard implemented on practically every computer, see rounding for various alternatives. Dmcq (talk) 02:28, 3 July 2011 (UTC)[reply]

Thanks. I think it's misleading to say that this is "usually" done when the preceding sentence sets the context as mathematics, rather than computer science. Do you have any objection if I reword along the following lines? "To avoid ambiguity when operating on half-integers, a rounding rule must be chosen. On most computer implementations, the selected rule is to round half-integers to the nearest even integer -- for example, ..... (This is in accordance with the IEEE 754 floating point standards.)" Joel B. Lewis (talk) 02:55, 3 July 2011 (UTC)[reply]

I've not actually ever come across a need to answer the question in a mathematical context, a single point is a set of measure zero. Perhaps you mean statistics or accounting or children rounding sums or something like that? I've no objection to you expanding the article. Dmcq (talk) 03:22, 3 July 2011 (UTC)[reply]

error in article

[4.5] = 5 and [2.5] = 3. The article lists [4.5] = 4 and [2.5] = 2, which is totally wrong. That is not how rounding works. — Preceding unsigned comment added by 98.169.179.61 (talk) 04:36, 19 July 2011 (UTC)[reply]

It depends what the rounding does. This is the standard round half to even rounding used in IEEE floating point implementations. Dmcq (talk) 13:20, 19 July 2011 (UTC)[reply]

Merge into Rounding

This should clearly be merged into the Rounding article. --Macrakis (talk) 14:04, 5 May 2016 (UTC)[reply]