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Talk:Test integerness: Difference between revisions
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::::Well, we were talking about numbers, not characters or anything. So in that context ''nul'' does mean zero imho.--[[User:Grondilu|Grondilu]] ([[User talk:Grondilu|talk]]) 11:19, 26 June 2014 (UTC)
:: Imaginary numbers are taught as existing on an orthogonal axis to the reals intersecting the reals at 0j. It ''seems'' OK to thing of am imaginary number with zero imaginary part and zero after the decimal point as equivalent to an integer for this task.
:: --[[User:Paddy3118|Paddy3118]] ([[User talk:Paddy3118|talk]]) 16:11, 25 June 2014 (UTC)
: Mathematicians define a complex number (an element of '''C''') as an ordered pair of elements (''re'', ''im'') where ''re'' and ''im'' are elements of '''R''', the real numbers. An ordered pair of elements is quite distinct from a single element.
: If you wish to test whether a complex number is an integer you also need to be careful to state what you mean by that term. A complex integer, more usually termed a ''Gaussian integer'' or '''Z'''[''i''], the Gaussian integers is an ordered pair of elements (''re'', ''im'') of '''Z''', the integers. The subset which has ''im'' = 0 is isomorphic to '''Z'''. My ''guess'' is that the latter set is what is meant when the task is extended to treat complex numbers but this hsould be made explicit.
: --[[User:Brnikat|Brnikat]] ([[User talk:Brnikat|talk]]) 21:15, 5 August 2015 (UTC)
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