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The partition function, p(n), counts the number of ways the integer n can be written as a sum of positive integers. For example, p(4)=5 because there are 5 way to write the number 4 as a sum of whole numbers: 4= 1+1+1+1 = 1+1+2 = 1+3 = 2+2 = 4 The partition function grows rapidly. With some hard work one could check that p(10)=42. It is a fact, which one could not verify by hand, that p(100) = 190,569,292 and p(1000)=24,061,467,864,032,622,473,692,149,727,991.

Domain: Mathematics; Category: Number theory

分区函数、 p(n)、 计数方法整数 n 的数量可以写成一笔的正整数。例如,p (4) = 5,因为有 5 种方式写 4 号作为整个数字的总和: 4 = 1 + 1 + 1 + 1 = 1 + 1 + 2 = 1 + 3 = 2 + 2 = 4 分区函数快速成长。一些艰苦的工作,一个可以检查那 p (10) = 42。它是一个事实,哪一个无法验证用手,那 p(100) = 190,569,292 和 p (1000) = 24、 061、 467、 864、 032、 622、 473、 692、 149、 727、 991。

Domain: Mathematics; Category: Number theory

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