Talk:Test integerness: Difference between revisions

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: 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 should be made explicit.
: --[[User:Brnikat|Brnikat]] ([[User talk:Brnikat|talk]]) 21:15, 5 August 2015 (UTC)
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