TY - JOUR
TI - Interpretasi Kombinatorial Kongruensi Fungsi Partisi Biner Modulo 2
AU - Agung Aldhi Prastya; Uha Isnaini
IS - Vol 8, No 1 (2023): Journal Of Mathematics UNP
PB - UNIVERSITAS NEGERI PADANG
JO - Journal of Mathematics UNP
PY - 2023
SP - 85
EP - 91
UR - https://ejournal.unp.ac.id/students/index.php/mat/article/view/14255/5499
AB - A partition of a positive integer n is a non-increasing sequence of finite positive integers such that the sum is equal to n. One thing that is studied by some researchers in integer partition is binary partition. A binary partition of a positive integer n is a non-increasing sequence of finite positive integers that are powers of 2 and sum to n. The number of binary partitions of n is denoted by b(n) and is called the binary partition function. In this study, we provides a combinatorial interpretation of a congruence of binary partition functions modulo 2. The interpretation involves dividing all binary partitions of n into two sets with the same cardinality using a bijective function that maps binary partitions satisfying certain conditions to binary partitions satisfying other conditions.