| Разбиение числа |  |
Разбие́ние натурального числа́ n — это такое представление числа n в виде суммы положительных целых чисел {\displaystyle \lambda _{1}+\lambda _{2}+\dots +\lambda _{m}}, которое, в отличие от композиции, не учитывает порядок слагаемых. Слагаемые... Википедия
A partition of a non-negative integer n, also called an integer partition, is a way of writing n as a sum of positive integers. Diagrammatic representations... · Restricted partitions |
2 The partitions of 5 are 54+13+23+1+12+2+12 ... 5 Find the generating function for the number of partitions of an integer into k parts; that is, the ... |
28 янв. 2017 г. · A partition of a number is a nonincreasing sequence of numbers that have that number as sum. For example, 5 has the following partitions. |
In number theory, the partition function p(n) represents the number of possible partitions of a non-negative integer n. For instance, p(4) = 5 because the ... |
10 июл. 2023 г. · From the introduction, the partitions of 5 are 1 +1 + 1 + 1 + 1, 2 + 1 + 1 + 1, 2 + 2 + 1, 3 + 1 + 1, 3 + 2, 4 + 1, and 5. Seven in total. |
28 июл. 2019 г. · Stars and bars gives compositions NOT partitions. From your link, the compositions of 5 are 5,41,14,32,23,311,131,113,221,212,122,2111,1211, ... |
A partition of a positive integer n n n is an expression of n n n as the sum of one or more positive integers (or parts). The order of the integers in the ... |
For instance, we may consider partitions with all parts being odd integers. Taking n = 5, then the partitions of 5 into odd parts are: 5=5. =3+1+1. =1+1+1+1+1,. |
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