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All Journal Jurnal Ilmiah Soulmath : Jurnal Edukasi Pendidikan Matematika Limits: Journal of Mathematics and Its Applications
Dian Winda Setyawati
Departemen Matematika, Institut Teknologi Sepuluh Nopember
Computer Science & IT Education Mathematics

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Teori Ideal Pada Semiring Faktor dan Semiring Ternary Faktor Dian Winda Setyawati
Limits: Journal of Mathematics and Its Applications Vol. 14 No. 1 (2017): Limits: Journal of Mathematics and Its Applications Volume 14 Nomor 1 Edisi Me
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Semiring merupakan generalisasi dari ring dimana syarat invers terhadap penjumlahan dihilangkan. Pada semiring, operasi yang digunakan adalah operasi biner penjumlahan dan operasi biner perkalian sedangkan pada semiring ternary, operasi yang digunakan adalah operasi biner penjumlahan dan operasi terner perkalian. Telah diperoleh karakterisasi ideal, ideal perluasan subtraktif, ideal prima pada semiring factor maupun semiring ternary factor. Pada paper ini akan diberikan pembuktian pada karakterisasi ideal, ideal perluasan subtraktif, ideal prima pada semiring ternary factor dengan mengkaitkan dengan hasil yang telah diperoleh terlebih dahulu pada semiring factor
Kajian Pola Irama Ostinato Pada Busur Lingkaran Iis Herisman; Komar Baihaqi; Rinurwati; Soleha; Dian Winda Setyawati
Jurnal Ilmiah Soulmath : Jurnal Edukasi Pendidikan Matematika Vol 11 No 1 (2023)
Publisher : Universitas Dr. Soetomo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (499.968 KB) | DOI: 10.25139/smj.v11i1.6025

Abstract

Rhythm is one of the basic elements of music. It is formed from a combination of a group of sounds and silences, as well as various timelines and lengths of tempos. One of the rhythm patterns is Ostinato, which is a rhythm pattern that has special characteristics with a sound that is heard repeatedly and takes place regularly throughout the song so that it forms a rhythmic unit. The timeline of rhythmic ostinatos is easy to recognize and remember and plays an important role in music. In addition, it acts as a conductor's function to organize and can give cues to musicians through the fundamental cyclic structure of the pieces of the rhythm. The aim of the research is to examine the results of the rhythm patterns that have been recorded by the electrocardiogram in a schematic diagram, with the given keys divided into sound and silent keys. The Ostinato rhythm pattern is periodic or repeated and then transformed into a circular arc as the seat of the keys. The result of this research is a circle that constitutes a polygon, with the sides being the rhythm timeline between each sound key and the next sound key. Keywords: Ostinato, keys, timeline, polygon
Co-Authors Iis Herisman Komar Baihaqi Rinurwati Soleha