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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

Fungsi partisi, p(n), menghitung jumlah cara integer n dapat ditulis sebagai jumlah bilangan bulat positif. Sebagai contoh, p (4) = 5 karena ada 5 cara untuk menulis nomor 4 sebagai jumlah bilangan bulat: 4 = 1 + 1 + 1 + 1 = 1 + 1 + 2 = 1 + 3 = 2 + 2 = 4 fungsi partisi tumbuh dengan cepat. Dengan beberapa kerja keras satu bisa memeriksa bahwa p (10) = 42. Ini adalah fakta, yang satu tidak dapat memverifikasi dengan tangan, itu p(100) = 190,569,292 dan p (1000) = 24, 061, 467, 864, 032, 622, 473, 692, 149, 727, 991.

Domain: Mathematics; Category: Number theory

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