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All Journal Jurnal Fourier International Journal on Emerging Mathematics Education Journal of Mathematics UNP Jurnal Matematika Integratif
Uha Isnaini
Universitas Gadjah Mada
Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Mathematics Mechanical Engineering Transportation

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Journal : Journal of Mathematics UNP

 1 
Interpretasi Kombinatorial Kongruensi Fungsi Partisi Biner Modulo 2 Agung Aldhi Prastya; Uha Isnaini
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.14255

Abstract

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.
Residu b_{4,6}(n) terhadap modulo 2 dan 3 Fadhlan Zhaahiran; Uha Isnaini
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.14329

Abstract

Integer partition is a branch of number theory that is still developing today. A partition of a positive integer n is a way to express   as a sum of positive integers without counting the order. Let   denote the number of partitions of  . We discover arithmetic properties of   which is the number of partitions of an integer n where the parts are not multiple by 4 or 6.
Co-Authors Afit Istiandaru Agung Aldhi Prastya Burhanudin Arif Nurnugroho Fadhlan Zhaahiran Naelufa Syifna Wifaqotul Muna Puguh Wahyu Prasetyo, Puguh Rully Charitas Indra Prahmana