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All Journal Jurnal Sains dan Teknologi Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Square : Journal of Mathematics and Mathematics Education Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Operations Research: International Conference Series International Journal of Multidisciplinary Research and Literature (IJOMRAL) Bulletin of Applied Mathematics and Mathematics Education Jurnal Matematika Integratif

Ari Wardayani, Ari

Universitas Jenderal Soedirman

Author-ID : 605344

Humanities Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Environmental Science Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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KARAKTERISTIK SEGITIGA LUCAS Nurshiami, Siti Rahmah; Wardayani, Ari; Setiani, Kana Hasmi
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 11 No 1 (2019): JMP Edisi Juni 2019
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar

Lucas triangle is an array of coeficients of a polynomial forming a pattern which is similar to Pascal triangle. This research studies Lucas triangle and its properties. The research results show that every row in Lucas triangle is begun by the number 1 and is ended by the number 2,  the sum of the first n terms of number of 1th column is equal to the number at th row, 2nd column. Besides, the number at nth row and  th column of Lucas triangle is  for , the sum of the first n terms of number of jth column is equal to the number at th row,  column for . The number of Lucas triangle is the sum of two number terms in preceded row, that is the number at  th row,  and the number at th row, . Then, the sum of coefficients of each  row of Lucas triangle is .

Partial Fourier Transform Methods to Solve the Solution Formula of Stokes Equation in Half-Space Maryani, Sri; Zahratunnisa, Siti Fauziah; Sihwaningrum, Idha; Wardayani, Ari; Guswanto, Bambang Hendriya
JST (Jurnal Sains dan Teknologi) Vol 11, No 1 (2022)
Publisher : Universitas Pendidikan Ganesha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/jst-undiksha.v11i1.39523

Fluids are a shape of a matter which have substance liquids, gases and plasmas. In our daily life, fluids become important part, such as part of our blood and also help our body getting nutrients. It is well known that fluid motion can be described in mathematical model in especially in form of partial differential equations (PDE) and called as Navier Stokes EquationsÂ (NSE). The Navier Stokes equation is derived from balance of conservation of mass and conservation of momentum. In this paper, we consider the solution formula of the linearized of the Navier Stokes Equation (NSE) with the initial boundary value (IBV) problem in half space without surface tension. The model problem under consideration covers of non-linear fluid type. We solve the solution formula of velocity and density of the model problem by using Fourier transform and partial Fourier transform method. The strategy geting the solution of the model problem is based on the analysis of some resolvent of the model problem which obtained by using Laplace transform of the Stokes equations. Therefore, In particular, the formula of velocity and density of the Stokes equation are obtained.

KARAKTERISTIK SEGITIGA LUCAS Siti Rahmah Nurshiami; Ari Wardayani; Kana Hasmi Setiani
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 11 No 1 (2019): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2020.12.1.1933

Lucas triangle is an array of coeficients of a polynomial forming a pattern which is similar to Pascal triangle. This research studies Lucas triangle and its properties. The research results show that every row in Lucas triangle is begun by the number 1 and is ended by the number 2, the sum of the first n terms of number of 1th column is equal to the number at th row, 2nd column. Besides, the number at nth row and th column of Lucas triangle is for , the sum of the first n terms of number of jth column is equal to the number at th row, column for . The number of Lucas triangle is the sum of two number terms in preceded row, that is the number at th row, and the number at th row, . Then, the sum of coefficients of each row of Lucas triangle is . Full Article

GENERALISASI OPERATOR ⊞_n dan ⊠_n PADA SUBGRUP FUZZY INTUITIONISTIK Chumaedi Sugihandardji; Ari Wardayani; Dian Pratama
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 3 No. 2 (2022): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v3i2.125

Intuitionistic fuzzy sets is an extension of the fuzzy set with the characteristics of each element having a degree of membership and non-membership which when added up is less than one. If applied to group theory, it will called intuitionistic fuzzy group. Operators on fuzzy sets associate membership functions (non-membership) with intervals [0,1]. This study examines the general form of operators and for in intuitionistic fuzzy groups. The properties to be studied are the structure of of and from an intuitionistic fuzzy group A

Profil Pemahaman Konsep Matriks dalam Mata Kuliah Struktur Aljabar Najmah Istikaanah; Ari Wardayani
Square : Journal of Mathematics and Mathematics Education Vol 4, No 1 (2022)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2022.4.1.9385

Penelitian ini bertujuan untuk mengetahui profil pemahaman konsep matriks pada mata kuliah Struktur Aljabar. Penelitian ini merupakan penelitian kualitatif. Metode pengambilan data dilakukan melalui dokumentasi, observasi, tes hasil belajar. Hasil penelitian menunjukkan bahwa pemahaman konsep matriks pada mata kuliah Struktur Aljabar masih rendah. Hal tersebut ditinjau pada kemampuan mahasiswa untuk menjawab soal tes hasil belajar mata kuliah Struktur Aljabar. Dengan demikian diperlukan adanya penekanan khusus mengenai konsep matriks sebelum mahasiswa mengambil mata kuliah Struktur Aljabar.Kata kunci: pemahaman, matriks, struktur aljabar.

DESCRIPTION OF STUDENT'S REFRACTIVE THINKING IN VIEW OF PERSONALITY TYPES Chumaedi Sugihandardji; Nurul Istiqomah; Ari Wardayani; Erni Widiyastuti; Gunawan Gunawan; Jaka Wijaya Kusuma
International Journal of Multidisciplinary Research and Literature Vol. 2 No. 3 (2023): INTERNATIONAL JOURNAL OF MULTIDISCIPLINARY RESEARCH AND LITERATURE
Publisher : Yayasan Education and Social Center

This study aims to describe the refractive thinking of class VIII B students of SMP Negeri 1 Sumbang. They are distributed in terms of thinking and feeling personality types. This type of research is qualitative research. The sample of this study was six students from class VIII B who were selected using a purposive sampling method. Data collection techniques are questionnaires, refractive thinking tests, interviews, and documentation. Data analysis techniques are divided into three stages: data reduction, data presentation, and conclusion. The results of this study indicate that students with the thinking personality type can gather information on the problem, link information in the issue with prior knowledge, propose solutions or alternative solutions to problems, eliminate solutions or alternative solutions to issues, carry out appropriate solving strategies and re-examine the solutions that have been obtained. Feeling personality type, students can gather information on the problem, relate the information in the issue with previous knowledge, and propose solutions or alternative solutions to problems

Sifat-sifat Perkalian Modular pada Graf Fuzzy Lengkap, Graf Fuzzy Efektif dan Graf Fuzzy Komplemen Triyani Triyani; Niken Larasati; Ari Wardayani
Jurnal Matematika Integratif Vol 14, No 1: April, 2018
Publisher : Department of Matematics, Universitas Padjadjaran

Penelitian ini bertujuan menyelidiki sifat-sifat operasi perkalian modular pada graf fuzzy yang diperkenalkan oleh Dogra [2]. Sifat yang diselidiki adalah perkalian modular pada graf fuzzy lengkap, graf fuzzy efektif dan graf fuzzy komplemen. Metode yang digunakan pada penelitian ini adalah metode penelitian teoritik. Hasil penelitian menunjukkan bahwa perkalian modular dari dua graf fuzzy lengkap bukan merupakan graf fuzzy lengkap, jika ke dua graf fuzzy efektif, maka perkalian modular dari dua graf fuzzy komplemennya sama dengan perkalian modular dari dua graf fuzzy efektif tersebut dan perkalian modular dari dua graf fuzzy G1 danG2 dengan G2 danG1 saling isomorfis.

KARAKTERISTIK SEGITIGA LUCAS Nurshiami, Siti Rahmah; Wardayani, Ari; Setiani, Kana Hasmi
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 11 No 1 (2019): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2020.12.1.1933

ABSTRACT. Lucas triangle is an array of coeficients of a polynomial forming a pattern which is similar to Pascal triangle. This research studies Lucas triangle and its properties. The research results show that every row in Lucas triangle is begun by the number 1 and is ended by the number 2, the sum of the first n terms of number of 1th column is equal to the number at (n+1)th row, 2nd column. Besides, the number at nth row and (n-2)th column of Lucas triangle is (n-1)^2 for n≥2, the sum of the first n terms of number of jth column is equal to the number at (n+1)th row, (j+1)^th column for j≥1. The number of Lucas triangle is the sum of two number terms in preceded row, that is the number at (n-1)th row, (j-1)^th and the number at (n-1)th row, j^th. Then, the sum of coefficients of each n^th row of Lucas triangle is .Keywords: Pascal triangle, Lucas number, Lucas triangle. ABSTRAK. Segitiga Lucas merupakan susunan koefisien-koefisien dari suatu polinomial yang disusun membentuk pola segitiga memyerupai segitiga Pascal. Penelitian ini mengkaji segitiga Lucas dan karakteristik dari segitiga Lucas. Hasil penelitian menunjukkan bahwa, setiap baris pada segitiga Lucas diawali dengan angka 1 dan diakhiri dengan angka 2, jumlah dari n suku bilangan pertama pada kolom ke-1 sama dengan bilangan pada baris ke- kolom ke-2. Selain itu, bilangan pada baris ke- kolom ke- pada segitiga Lucas adalah untuk , jumlah n suku bilangan pertama pada kolom ke-j sama dengan bilangan pada baris ke- kolom ke- untuk . Bilangan pada segitiga Lucas merupakan penjumlahan dari dua suku bilangan pada baris sebelumnya, yaitu bilangan pada baris ke- kolom ke- dan bilangan pada baris ke- kolom ke-j. Kemudian, jumlah koefisien setiap baris ke-n pada segitiga Lucas adalah .Kata Kunci: Segitiga Pascal, Bilangan Lucas, Segitiga Lucas

KONSEP DASAR HIPERGRAF DAN SIFAT-SIFATNYA Putri, Faiq Fauziya; Triyani, Triyani; Wardayani, Ari
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 12 No 2 (2020): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2020.12.2.3619

ABSTRACT. This article discusses fundamental properties of hypergraphs. Hypergraphs are generalization of graph which hyperedges, edges in hypergraph, can join more than two vertices. The fundamental properties in this article are the vertices degrees, connection in hypergraphs, and dual hypergraph. connectivity in hypergraphs in this article are walks, trails, strict trails, path, and cycles. In the end of this article, we present a few examples of problems that can be represented by hypergraph.Keywords: hypergraph, connectivity in hypergraph, dual hypergraph ABSTRAK. Artikel ini membahas mengenai konsep dasar hipergraf dan sifat-sifatnya. Hipergraf merupakan generalisasi dari graf dimana hyperedge, istilah sisi pada hipergraf, dapat menghubungkan lebih dari dua titik. Sifat-sifat dasar yang disajikan pada artikel ini berkaitan dengan derajat titik, keterhubungan dalam hipergraf, dan dual hipergraf pada hipergraf tak berarah. Keterhubungan dalam hipergraf berupa jalan, trail, strict trail, lintasan, dan cycle. Pada bagian akhir artikel, disajikan beberapa contoh permasalahan yang dapat direpresentasikan dengan hipergraf.Kata kunci: hipergraf, keterhubungan dalam hipergraf, dual hipergraf

SOME PROPERTIES OF SUBSEMIHYPERGROUPS wardayani, Ari; Cerinda, Mitha; Sihwaningrum, Idha; Estri, Mutia nur; Sidik, Wuryatmo Ahmad
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 13 No 2 (2021): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2021.13.2.4905

ABSTRACT. In this paper we will present two properties of subsemihypergroups. The first property is a relation between subsemihypergroups and semihypergroup. This property enable us to get the second property, which provides a relation between subsemihypergroups and regular semihypergroups.Keywords: semihypergroup, subsemihypergroup, regular. ABSTRAK. Pada makalah ini disajikan dua buah sifat subsemihypergrup. Sifat pertama adalah hubungan antara subsemihypergrup dan semihypergrup. Berdasarkan sifat ini, selanjutnya diperoleh sifat kedua yakni hubungan antara subsemihipergrup dan semihipergrup reguler.Kata Kunci: semihipergrup, subsemihipergrup, reguler

Co-Authors Achfasarty, Kiran Nirmala Agung Prabowo Binafsie, Latifah Ibda Cerinda, Mitha Chumaedi Sugihandardji Dian Pratama Erni Widiyastuti Gunawan Gunawan Gunawan Gunawan Guswanto, Bambang Hendriya Idha Sihwaningrum Irham Taufiq, Irham Jaka Wijaya Kusuma Kana Hasmi Setiani Maryani, Sri Mutia Nur Estri, Mutia Nur Najmah Istikaanah Najmah Istikaanah Niken Larasati Nurahmadhani, Ambar Sari Nurul Istiqomah Putri, Faiq Fauziya Renny Renny Sb., Agustini Tripena Br. Setiani, Kana Hasmi Sidik, Wuryatmo Ahmad Siti Rahmah Nurshiami, Siti Rahmah Sri Maryani Suhariman, Fikrianto Suroto Suroto Suroto Suroto Triyani Triyani Triyani Triyani Zahratunnisa, Siti Fauziah

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