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All Journal Limits: Journal of Mathematics and Its Applications Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Jurnal Pengabdian Kepada Masyarakat (JPKM) Tabikpun Journal of Mathematics: Theory and Applications Jurnal Siger Matematika
La Zakaria
Universitas Lampung
Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Education Health Professions Mathematics

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Dimensi Metrik Hasil Operasi Tertentu pada Graf Petersen Diperumum Asmiati Asmiati; Ahmad Ari Aldino; Notiragayu Notiragayu; La Zakaria; Muslim Anshori
Limits: Journal of Mathematics and Its Applications Vol 16, No 2 (2019)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v16i2.5594

Abstract

Misalkan  graf terhubung dan , , jarak titik  dan  yang  dinotasikan dengan  adalah panjang lintasan terpendek dari kedua titik tersebut. Misalkan  representasi titik  terhadap  adalah urutan   −vektor,   . Himpunan  disebut himpunan pembeda,  jika  untuk setiap dua titik berbeda , . Kardinalitas minimum dari himpunan pembeda  disebut dimensi metrik dari  dinotasikan dengan . Pada penelitian ini dibahas tentang dimensi metrik dari hasil operasi tertentu pada graf Petersen diperumum.
Pelatihan Aplikasi Mathematica Untuk Pengajaran Matematika Berbasis STEM : Studi Kasus Materi Matematika SMA La Zakaria; Agus Sutrisno; Dorrah Aziz; Mapful Mapful; Effendi Effendi; Maria Maria
Jurnal Pengabdian Kepada Masyarakat (JPKM) TABIKPUN Vol. 2 No. 3 (2021)
Publisher : Faculty of Mathematics and Natural Sciences - Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpkmt.v2i3.55

Abstract

Pengajaran matematika interaktif dapat didesain berbasis perangkat lunak. Pelatihan ini bertujuan memberikan wawasan dan kemampuan mendesain media pembelajaran matematika inovatif dengan menggunakan Mathematica®. Realisasi kegiatan di Sekretariat MGMP Matematika SMA Kota Bandar Lampung dengan luaran berupa media visual, modul dan artikel ilmiah. Metode pelaksanaan kegiatan diarahkan untuk pelatihan langsung teknik mendesain media pembelajaran. Tahapan kegiatan meliputi penyampaian konsep pembelajaran Science-Engineering-Technology-Mathematics (STEM) dan eksplorasi perangkat lunak Mathematica®. Kegiatan ini menggunakan metode diskusi, demonstrasi, dan praktikum. Hasil pretest terhadap peserta diketahui bahwa waktu elaborasi soal secara konvensional membutuhkan waktu lebih dari tiga menit untuk solusi-grafik sistem persamaan linear. Selain itu, peserta memerlukan waktu 3-10 menit untuk visualisasi sistem persamaan polinomial. Setelah kegiatan pelatihan, peserta membutuhkan waktu kurang dari dua menit untuk menampilkan hasil solusi sistem persamaan linear secara visual.
Algoritma Penyelesaian Persamaan Fuzzy Non Linear dengan Metode Modifikasi Newton Raphson dan Implementasinya Wahyu Megarani; Dorrah Aziz; Amanto Amanto; La Zakaria
Jurnal Siger Matematika Vol 1, No 2 (2020)
Publisher : FMIPA Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (319.05 KB) | DOI: 10.23960/jsm.v1i2.2676

Abstract

Non-linear fuzzy equations are mathematical problems that can be solved. Non-linear fuzzy equations can be solved by numerical methods, namely the Newton Raphson modification method. The Newton Raphson modification method is shown in an algorithm to be implemented with a computer program using the Matlab application. So that the calculation process can be done easily and in a short time. In the non-linear fuzzy equation of a given case, a solution can be found efficiently using the given algorithm.
Bilangan Kromatik Lokasi Subdivisi Operasi Barbel Tertentu Graf Origami \mathbit{B}_{\mathbit{O}_\mathbf{3}}^\mathbit{s}, \mathbit{B}_{\mathbit{O}_\mathbf{4}}^\mathbit{s}, \mathbit{B}_{\mathbit{O}_\mathbf{5}}^\mathbit{s}, \mathbit{B}_{\mathbit{O}_\mathbf Agus Iriawan; Asmiati Asmiati; La Zakaria; Kurnia Muludi; Bernadhita Herindri Samodra Utami
Jurnal Siger Matematika Vol 2, No 2 (2021): Jurnal Siger Matematika
Publisher : FMIPA Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (273.73 KB) | DOI: 10.23960/jsm.v2i2.2932

Abstract

Let G=(V,E) be a connected graph and c be a proper k-coloring of G with color 1,2,...,k. Let {C_1,C_2,...,C_k} be a partition of V(G) which is induced by coloring c. The color code c_Phi(v) of v is the ordered k-tuple (d(v,C_1),d(v,C_2),...,d(v,C_k)) where  d(v,C_i)= min{d(v,x)|x \in C_i}  for any i. If all distinct vertices of G have distinct color codes, then c is called  k-locating coloring of G. The locating-chromatic number, denoted by \chi_L(G), is the smallest k such that G has a locating k-coloring.  Subdivision certain barbell origami graphs, for s>=1, is a graph with  V\left(B_{O_n}^s\right)=\left\{u_i,u_{n+i},v_i,v_{n+i},w_i,w_{n+i}\middle|1\le i\le n\right\} U {x_i|1<=i<=s}  and E\left(B_{O_n}^s\right)={{u}_iw_i,u_iv_i,v_iw_i,u_iu_{i+1},w_iu_{i+1}|1\le i\le n} U {{u}_{n+i}w_{n+i},u_{n+i}v_{n+i},v_{n+i}w_{n+i},u_{n+i}u_{n+i+1},w_{n+i}u_{n+i+1}|1\le i\le n-1} U {u_nx_1,x_nu_{n+1}} U{x_ix_{i+1}|1\le i\le s-1}. In this paper, we will determined the locating-chromatic number of subdivision certain barbell origami graphs B_{O_3}^s,B_{O_4}^s , B_{O_5}^s and  B_{O_6}^s.
Aplikasi Metode Sillhouette Coefficient, Metode Elbow dan Metode Gap Staticstic dalam Menentukan K Optimal pada Analisis K-Medoids Hilda Lailatul Ramadhania; Widiarti Widiarti; La Zakaria; Nusyirwan Nusyirwan
Jurnal Siger Matematika Vol 4, No 1 (2023): Jurnal Siger Matematika
Publisher : FMIPA Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jsm.v4i1.3196

Abstract

The K-Medoids method is a non-hierarchical cluster analysis method where information on the exact number of clusters is required. The data used in this study uses simulation data from reference data on the percentage of households according to drinking water sources. The simulation data used uses a multivariate normal distribution, so that the simulation data allows for negative data. In this study, two options were carried out on negative data results, namely being zero and absolute. The method in determining the optimal number of clusters used the Sillhouette Coefficient method, the Elbow method and the Gap Statistics method. The average Dunn Index value from the data on the zeroed option produces the largest Dunn Index value in determining the optimal number of clusters using the Gap Statistic method, which is 0,125734, while in the second option data, the Dunn Index average is greatest in determining the number of clusters optimally using the Sillhouette Coefficient method, which is 0,113315.
KARAKTERISTIK PRODUKSI PADI DAN PEMETAAN LUAS LAHAN PANEN MENGGUNAKAN ANALISIS BIPLOT BERDASARKAN DATA PRODUKTIVITAS PADI Nadabunda Husnul Khotimah; La Zakaria
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 4 No. 1 (2023): 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.v4i1.267

Abstract

Rice plants are food for the people of Indonesia. The availability of productivity data is one of the key instruments in planning and evaluating government policies to increase national rice production. BPS has collected the data and used it as one of the elements in calculating rice production. In order to obtain the characteristics of rice production and mapping the area of rice harvested land in ten provinces of the Indonesian island of Sumatra in 2022 using the biplot analysis method. From the results of the study, it was found that areas with similar characteristics of harvested land area, productivity in ten provinces on the island of Sumatra were relatively varied and production with land area had a fairly high positive correlation
Penyelesaian Sistem Persamaan Fully Fuzzy Non Linear Menggunakan Metode Newton Raphson Ganda Zakaria La; Annisa Eka; Dorrah Aziz
Journal of Mathematics: Theory and Applications Vol 5 No 2 (2023): Volume 5, Nomor 2, 2023
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v5i2.2876

Abstract

Terdapat banyak permasalahan dunia nyata yang diupayakan penyelesaiannya menggunakan sistem persamaan yang melibatkan himpunan bilangan fuzzy. Sistem persamaan fuzzy non linear dikembangkan menjadi sistem persamaan fully fuzzy nonlinear dengan mengimplementasikan operasi aritmatika bilangan fuzzy. Artikel ini bertujuan mendeskripsikan penyelesaian sistem persamaan fully fuzzy non linear yang melibatkan bilangan segitiga fuzzy dengan menggunakan alat bantu komputasi (algoritma dan pemrograman) dengan melibatkan metode Newton Raphson Ganda. Teknis mendapatkan solusi menggunakan metode ini dapat dicapai dengan terlebih dahulu melakukan transformasi sistem persamaan fuzzy ke dalam sistem persamaan nonlinear dengan bilangan tegas menggunakan operasi aritmatika bilangan fuzzy segitiga. Komputasi penentuan solusi didasari pada sebuah algoritma yang implementasinya ke dalam program Matlab. Algoritma dan program Matlab yang dibuat memperlihatkan bahwa Newton Raphson Ganda dapat menyelesaikan sistem persamaan fully fuzzy non linear dengan efesien dalam waktu dan akurat dalam nilai hampiran solusi.
Co-Authors . Wamiliana Aang Nuryaman Agus Iriawan Agus Sutrisno Ahmad Ari Aldino Amanto Amanto Amanto Amanto Annisa Eka Asmiati Asmiati Bernadhita Herindri S. Utami Dorrah Azis Effendi Effendi Hilda Lailatul Ramadhania Kurnia Muludi Mapful Mapful Maria Maria Marsela Nuvela Syanur Muslim Anshori Nadabunda Husnul Khotimah Notiragayu Notiragayu Notiragayu Notiragayu Nusyirwan Nusyirwan Saidi, Subian Saiful Rohman Triyono Ruby Ulfah Muharramah Wahyu Megarani Widiarti Widiarti Yomi Mariska