Difference between revisions of "Division Algorithm"
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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 20:22, 3 July 2008
For any positive integer and integer , there exist unique integers and such that and , with iff .
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