Difference between revisions of "Division Algorithm"
(New page: For any positive integer a and integer b, there exist unique integers q and r such that b = qa + r and 0 <= r < a, with r = 0 iff a | b.) |
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| − | For any positive integer a and integer b, there exist unique integers q and r such that b = qa + r and 0 | + | For any positive integer <math>a</math> and integer <math>b</math>, there exist unique integers <math>q</math> and <math>r</math> such that <math>b = qa + r</math> and <math>0 \le r < a</math>, with <math>r = 0</math> iff <math>a \mid b</math>. |
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Revision as of 21:22, 3 July 2008
For any positive integer 
and integer 
, there exist unique integers 
and 
such that 
and 
, with 
iff 
.
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