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Undid revision 1264848756 by 2A00:23C6:5493:4C01:1106:FCC:5188:F299 (talk) nothing wrong with formulas in English. If this were the Latin Wikipedia, it would be a case error. |
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==Definition and examples==
For a positive integer {{math|''n''}}, {{math|''p''(''n'')}} is the number of distinct ways of representing {{mvar|n}} as a [[summation|sum]] of positive integers. For the purposes of this definition, the order of the terms in the sum is irrelevant: two sums with the same terms in a different order (e.g., {{math|1 + 1 + 2}} and {{math|1 + 2 + 1}}) are not considered
By convention {{math|1=''p''(0) = 1}}, as there is one way (the [[empty sum]]) of representing zero as a sum of positive integers. Furthermore {{math|1=''p''(''n'') = 0}} when {{mvar|n}} is negative.
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