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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.
Modified Lorenz Curve and Its Computation Subian Saidi; Ulfah Muharramah; La Zakaria; Yomi Mariska; Triyono Ruby
Desimal: Jurnal Matematika Vol 3, No 2 (2020): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (576.506 KB) | DOI: 10.24042/djm.v3i2.5871

Abstract

The Lorenz curve is generally used to find out the inequality of income distribution. Mathematically a standard form of the Lorenz curve can be modified with the aim of simplicity of its symmetric analysis and calculation of the Gini coefficient that usually accompanies it. One way to modify the shape of the Lorenz curve without losing its characteristics but is simple in the analysis of geometric shapes is through a transformation (rotation). To be efficient and effective in computing and analyzing a Lorenz curve it is necessary to consider using computer software. In this article, in addition to describing the development of the concept of using transformations (rotations) of the standard Lorenz curve in an easy-to-do form, the symmetric analysis is also described by computational techniques using Mathematica® software. From the results of the application of the development of the concept of the Lorenz curve which is carried out on a data gives a simpler picture of the computational process with relatively similar computational results.
The relationship of the formulas for the number of connected vertices labeled graphs with order five and order six without loops Amanto Amanto; Notiragayu Notiragayu; La Zakaria; Wamiliana Wamiliana
Desimal: Jurnal Matematika Vol 4, No 3 (2021): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (403.954 KB) | DOI: 10.24042/djm.v4i3.10006

Abstract

Given a graph with n points and m lines. If each vertex is labeled, then it can be constructed many graphs, connected, or disconnected graphs. A graph G is called a connected graph if there is at least one path that connects a pair of vertices in G. In addition, the graph formed may be simple or not simple. A simple graph is a graph that does not contain loops or parallel lines. A loop is a line that connects a point to itself, and a parallel line is two or more lines that connect the same pair of points. This paper will discuss the relationship between the formula patterns for calculating the number of connected graphs labeled with vertices of order five and six without loops.
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.
An Analysis Genotype Inheritance in a Trihybrid Cross by Applying a Diagonalization of Matrix Method Dorrah Azis; Marsela Nuvela Syanur; Amanto Amanto; La Zakaria
Desimal: Jurnal Matematika Vol 5, No 3 (2022): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v5i3.11955

Abstract

This research aimed to find out the formulation of inheritance to know the genotype of the n-th generation in trihybrid crosses with controlled parent genotypes and analyze them by applying the diagonalization of a matrix. Matrix diagonalization makes it easier to find out the inheritance genotype of the n-th generation in trihybrid to obtain superior offspring compared with crossing it one by one, which requires a lot of time and cost. Based on the analysis, an equation for the probability of inheritance was obtained for 27 genotypes of the n-th generation, and the resulting offspring in an infinite generation are likely to have the TTKKBB genotype.
KKN MENGAJAR SEBAGAI ALTERNATIF PROGRAM MENINGKATKAN ANTUSIASME BELAJAR ANAK-ANAK KELURAHAN BANJARSARI KECAMATAN METRO UTARA-KOTA METRO-LAMPUNG Gabriella Claudia Alma Primasasti; Faras Nur Arini; Hani Maghfiroh; Araneta Aqzela; Ayu Aulia Putri; Tiara Sekar Rahmadani; Reza Anandatara; Syahlan Naufal Fridayanto; M. At-thariq Syach Alam; La Zakaria; Eri Setiawan
Jurnal Dedikasi untuk Negeri Vol 1, No 1 (2022)
Publisher : Lembaga Penelitian dan Pengabdian Kepada Masyarakat UML

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (657.992 KB) | DOI: 10.36269/jdn.v1i1.879

Abstract

Abstrak Pada masa pasca pandemi Covid-19 tahun 2022 kegiatan belajar mengajar siswa di sekolah masih belum maksimal karena adanya pembatasan aktivitas pembelajaran tatap muka, misalnya waktu belajar mengajar yang dipersingkat. Akibatnyaantusias belajar siswa menurun seiring dengan kurangnya interaksi nyata antara guru dan anak didik. Kondisi ini dapat dimanfaatkan oleh mahasiswa Kuliah Kerja Nyata (KKN) untuk menyusun program mengisi waktu belajar tanpa guru dengan aktivitas belajar-mangajar tatap muka dengan protokol kesehatan maksimal bersama mahasiswa KKN. Kegiatan tersebut dinamakan dengan “KKN Mengajar”. “KKN Mengajar”dimaksudkan untuk membantu siswa Sekolah Dasar (SD) untuk memperoleh ilmu tambahan (bidang Matematika dan Bahasa Inggris) sehingga menimbulkan semangat belajar walaupun adanya pembatasan waktu belajar tatap muka di sekolah bersama guru. Kegiatan ini dilakukan dengan membentuk kelompok belajar bersama anak-anak kelompok usia SD diluar kegiatan belajar di sekolah. Tujuan kegiatan ini adalahmeningkatnyaantusiasme belajar melalui materi belajar Matematika dan Bahasa Inggris selama masa pasca pandemi Covid-19. Kegiatan ini menjadi solusi atas permasalahan melalui metode pembelajaran partisipatif-kolektif. Pendekatan metode dalah melalui pendampingan kegiatan belajar mengajar dan bantuan pendekatan kualitatif deskriptif. Keberhasilan dari kegiatan “KKN Mengajar”ini diukur secara kuantitatif  untuk capaian indikasi bertambahnya antusiasme anak-anak Kelurahan Banjarsari dalam mengikuti kelompok belajar dan bertambahnya kemampuan belajar Matematika dan Bahasa Inggris.Antusiasme anak-anak dikatakan meningkat karena telaj terjadinya partisipan pada setiap pertemuan serta terjadinya peningkatankemauan belajar bersifat produktif, proaktif, dan kreatif melalui pembelajaran yang diberikan.   Kata kunci: KKN Mengajar, Metode partisipatif-kolektif, Banjarsari-Metro Utara Lampung Abstract In the post-Covid-19 pandemic in 2022, teaching and learning activities for children in schools are still not optimal due to restrictions on face-to-face learning activities, for example, shortened teaching and learning times. As a result, children's enthusiasm for learning decreases, and the a lack of real interaction between teachers and students. This condition can be used by Student Community Service (SCS) to arrange programs to fill study time without a teacher with face-to-face teaching-learning activities. The activity in question is called The SCS Teaching-Learning (SCS TL) Program. The SCS TL aims to help elementary school (SD) students gain additional knowledge (Mathematics and English) to create enthusiasm for learning despite the limited time for face-to-face learning at school with the teacher. This activity is carried out by forming study groups with elementary school-age group children outside of learning activities at school. This activity aims to increase enthusiasm for learning through Mathematics and English learning materials during the post-Covid-19 pandemic. This activity is a solution to problems through participatory-collective learning methods. The method approach is through the assistance of teaching and learning activities and the assistance of a descriptive qualitative approach. To measure the success of the SCS TL activity, we measured quantitatively for the indications of the increasing enthusiasm of the children of Banjarsari Village in participating in study groups and increasing their ability to learn Mathematics and English. We conclude that the children's enthusiasm increased because of the occurrence of participants at each meeting and the increase in the willingness to learn to be productive, proactive, and creative through the learning provided. Keywords: Student Community Service: Teaching-Learning Program, Collective-Participatory Method, Banja
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