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Model Dinamika Penyebaran Penyakit Campak dengan Pengaruh Vaksinasi dan Penerapannya di Provinsi Nusa Tenggara Barat Mutmainnah Mutmainnah; Lailia Awalushaumi; Qurratul Aini
Eigen Mathematics Journal Vol. 2 No. 1 Juni 2019
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (498.901 KB) | DOI: 10.29303/emj.v1i1.34

Abstract

Campak adalah suatu penyakit akut yang sangat menular yang disebabkan oleh Measles virus. Penyakit ini ditularkan melalui droplet ataupun kontak dengan penderita. Selain menimbulkan berbagai macam komplikasi, penyakit ini juga dapat menyebabkan kematian. Dalam tulisan ini akan dirumuskan model dinamika penyebaran penyakit campak dengan pengaruh vaksinasi, yang digunakan untuk melihat pengaruh vaksinasi terhadap penyebaran penyakit campak di Provinsi NTB. Model dinamika penyebaran penyakit oleh pengaruh vaksinasi campak, diperoleh sebagai berikut :dS/dt=(1-θ)Π-αSI/N-μS ; dI/dt=αSI/N-μI-μ I-βI ; dV/dt=θΠ+βI-μVBerdasarkan simulasi dari model di atas, diperoleh kesimpulan bahwa semakin besar cakupan vaksinasi yang dilakukan di Provinsi NTB maka semakin sedikit individu yang rentan saat keadaan stabil dan semakin cepat menghilangnya penyakit campak
Mengatasi Error Berkorelasi Menggunakan Metode Transformasi Prewhitening pada Regresi Nonparametrik Kernel Bivariat Nurasiah Amini; Mustika Hadijati; Qurratul Aini
Eigen Mathematics Journal Vol. 2 No. 2 Desember 2019
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v1i2.42

Abstract

Suppose that given ???? data {(????1????, ????2????, ????????)}???? with nonparametric regression model :????=1????????  = ????(????1????, ????2????) + ???????? ; ???? = 1,2, ⋯ , ????with ????(????????) is a regression function and ???????? is a random errors. In nonparametric regression often found correlated errors, i.e. the error value does not meet the identical and independent assumptions. Correlated errors will adversely affect the estimation model. Correlated errors can be resolved by prewhitening transformation method, a method where the error is assumed to follow the model ARMA (????, ????). Applied on data is shown that regression model was obtained with correlated errors. The error obtained from the conventional Kernel regression model follows the AR(1) model with the value ∅1= 0.932. After the prewhitening transformation, the kernel regression model results from the prewhitening transformation with uncorrelated errors. The MSE value of the conventional Kernel estimation modal is 639203.308 smaller than the MSE value of the estimated Kernel prewhitening transformation model that is 290303.832, so the Kernel estimator resulting from prewhitening transformation is more efficient than conventional Kernel estimator.
Pengaruh Kurs Dolar Amerika Serikat, Inflasi, dan Tingkat Suku Bunga Terhadap Indeks Harga Saham Gabungan Dengan Vector Error Correction Ni Luh Putu Dewi Wikayanti; Qurratul Aini; Nurul Fitriyani
Eigen Mathematics Journal Vol. 3 No. 1 Juni 2020
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v3i1.58

Abstract

Pergerakan Indeks Harga Saham Gabungan (IHSG) dipengaruhi oleh situasi politik dan perekomian global, serta adanya faktor seperti Kurs Dolar Amerika Serikat, Inflasi, dan Tingkat Suku Bunga, yang apabila melemah dapat mengakibatkan perekonomian terguncang. Penelitian ini bertujuan mengkonstruksi model Vector Error Correction Model (VECM) yang merupakan pengembangan model Vector Autoregressive pada runtun waktu yang tidak stasioner dan memiliki hubungan kointegrasi. Selain itu, penelitian ini bertujuan untuk menganalisis hubungan jangka panjang maupun jangka pendek antara faktor-faktor yang mempengaruhi IHSG yaitu Kurs Dolar Amerika Serikat, Inflasi, dan Tingkat Suku Bunga serta menentukan hasil peramalan IHSG berdasarkan faktor yang mempengaruhinya. Model VECM yang diperoleh yaitu VECM(2), yang menunjukkan bahwa perubahan variabel Kurs Dolar Amerika Serikat memiliki pengaruh positif terhadap IHSG, sedangkan Inflasi dan Tingkat Suku Bunga memberikan pengaruh negatif terhadap perubahan IHSG. Hal ini berlaku untuk pengaruh jangka panjang maupun jangka pendek. Hasil peramalan diperoleh dengan menggunakan VECM(2) pada bulan Juli dan Agustus 2019 yaitu sebesar 6424,68 dan 6488,88 dengan nilai MAPE sebesar 1,534%. Nilai MAPE menunjukkan bahwa hasil peramalan dengan model VECM(2) memberikan hasil yang sangat baik.
Pengembangan Motif Batik Sasambo dengan Sistem Lindenmayer Subaiah Marlina; Qurratul Aini; I Wayan Sudiarta
Eigen Mathematics Journal VOL. 3 NO. 2 DESEMBER 2020
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v3i2.77

Abstract

Batik is an Indonesian intangible cultural heritage that needs to be preserved. Indonesia has a variety of batik patterns such as Sasambo (Sasak, Samawa, and Mbojo) batik patterns from West Nusa Tenggara. This study aims to develop Sasambo batik patterns by using the Lindenmayer System (L-System). The Sasambo batik patterns developed in this study are of two types: Lumbung (rice barn) and Kangkung (water spinach) patterns. By applying the L-System, there are three different ways that can be done, namely (1) making the Sasambo batik patterns as axioms, (2) making the batik patterns as generators, and (3) combining the Sasambo patterns with fractals. Based on the new patterns produced using the L-System, the selection of generators should have the initial and final segments which are both in a single line position, so that the original patterns unchanged.
Fuzzy Metric Space and Its Topological Properties Masriani Masriani; Qurratul Aini; Syamsul Bahri
Eigen Mathematics Journal Vol. 4 No. 2 Desember 2021
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v4i2.95

Abstract

The fuzzy set theory is mathematics that applies fuzziness characteristics, so that gives the truth value at interval [0,1]. It is different from the crisp set that gives a truth value of 0 if it is not a member and 1 if it is a member. The theory of fuzzy sets has been developed continuously by scientists. One of the developments of the fuzzy set is the fuzzy metric space which the definition was introduced by George and Veeramani. Based on the analysis results, it is found that every metric space X if and only if X is fuzzy metric space. As a result, the topological properties of the metric space still apply to the fuzzy metric space
Pipeline Network Optimization using Hybrid Algorithm between Simulated Annealing and Genetic Algorithms Parizal Hidayatullah; Irwansyah Irwansyah; Qurratul Aini; Bulqis Nebula Syechah
Eigen Mathematics Journal Vol. 4 No. 2 Desember 2021
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v4i2.100

Abstract

The pipeline network is one of the most complex optimization problems consisting of several elements: reservoirs, pipes, valves, etc. The pipeline network is designed to deliver water to consumers by considering the demand and adequate pressure on the water pipe network. The main problem in designing reliable pipelines is the cost. The amount of cost that most influences the design of pipelines is the diameter of the pipe used. Therefore, this study aims to combine (hybrid) simulated annealing algorithm with genetic algorithm to optimize water pipe networks. The simulated annealing algorithm is the main algorithm in finding the optimal cost.Meanwhile, the genetic algorithm will assist in the pipeline update process using the roulette wheel selection. Simulation data is used to test the hybrid algorithm performance compared to the standard simulated annealing algorithm. The results show that the simulated annealing hybrid algorithm is able to get a more optimal cost in designing a water pipe network compared to the standard simulated annealing algorithm. Keywords: Optimization, Epanet 2.0, Simulated Annealing, and Genetic Algorithm
The Intersection Graph of a Dihedral Group Nurhabibah Nurhabibah; Abdul Gazir Syarifudin; I Gede Adhitya Wisnu Wardhana; Qurratul Aini
Eigen Mathematics Journal Vol. 4 No. 2 Desember 2021
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v4i2.119

Abstract

The intersection graph of a finite group G is a graph (V,E) where V is a set of all non-trivial subgroups of G and E is a set of edges where two distinct subgroups H_i , H_j  are said to be adjacent if and only if H_i \cap H_j \neq {e} . This study discusses the intersection graph of a dihedral group D_{2n} specifically the subgraph, degree of vertices, radius, diameter, girth, and domination number. From this study, we obtained that if n=p^2 then the intersection graph of D_{2n} is containing complete subgraph K_{p+2} and \gamma(\Gamma_{D_{2n}})=p. 
WORKSHOP E-MODUL INTERAKTIF DENGAN CANVA UNTUK PEMBELAJARAN PADA MASA PANDEMI COVID-19 Ni Wayan Switrayni; I Gede Adhitya Wisnu Wardhana; Irwansyah Irwansyah; Qurratul Aini; Salwa Salwa
Jurnal Abdi Insani Vol 9 No 2 (2022): Jurnal Abdi Insani
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/abdiinsani.v9i2.435

Abstract

The COVID-19 pandemic has affected various aspects of life in Indonesia, one of which is the education sector. For example, during the COVID-19 pandemic, most junior high school teachers, especially at the Islamic Junior High School Pondok Pesantren At-Tamimy, only used textbooks as teaching materials which of course were less effective and interactive. Therefore, this Community Service (PkM) activity aims to introduce teachers at the Islamic Junior High School Pondok Pesantren At-Tamimy with interactive e-modules for online learning using Canva. The results of this activity indicate that the implementation of this Community Service Activity has been running quite well and smoothly. Through this workshop, the teachers of the Islamic Junior High School Pondok Pesantren At-Tamimy were given tutorials on making interactive e-modules which can actually not only be used in the online learning process during the COVID-19 pandemic, but can also be used for more efficient, effective offline learning. and fun because teachers can be creative in making e-module designs as attractive as possible for students. Based on the explanation of the results of the implementation of this activity, it can be concluded that the team has carried out the workshop well, smoothly, and fun because teachers can be creative in making e-module designs that are as attractive as possible.
Work Accident Analysis to Increase Work Productivity Using Failure Mode and Effect Analysis (FMEA) and Fault Tree Analysis (FTA) Methods at PT. XYZ Qurratul Aini; Rusindiyanto Rusindiyanto
Budapest International Research and Critics Institute-Journal (BIRCI-Journal) Vol 5, No 2 (2022): Budapest International Research and Critics Institute May
Publisher : Budapest International Research and Critics University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33258/birci.v5i2.5345

Abstract

One of the important aspects that play a role in Increasing company productivity is work safety and security. Work carried out in workshops often causes work accidents. With this system, the company will be able to minimize the rate of work accidents, decreasing the accident rate and the severity of accidents from year to year will increase the productivity of the company's workforce. Based on this phenomenon, the purpose of this study is to determine work accidents and the effect of productivity on the workshop so as to increase work productivity and propose improvements to reduce work accidents in the workshop. The research was conducted by looking for the frequency of accidents, the severity of accidents, the tendency of accidents and the level of work productivity, and also using the FMEA and FTA methods. Based on the results of research on the level of work productivity in 2017, 2018, 2019, and 2020 of 0.0047; 0.0045; 0.0047; and 0.0051. In 2017 to 2018 it decreased, in 2018 to 2019 it increased by 4.44% and in 2019 to 2020 it increased by 8.52%. From the FMEA calculation, the highest RPN value was obtained, namely an accident that caused a torn hand with a value of 52 due to sleepy workers, lack of experience and lack of training. From the calculation of the FTA with a torn wrist accident, a probability of 0.03 is obtained. This figure shows that the accident is natural, if the probability is close to 1, the accident is unnatural and very dangerous and detrimental.
PENGUATAN DAN PENERAPAN PARADIGMA PROBLEM SOLVING METODE POLYA DALAM PEMBELAJARAN MATEMATIKA DI SMA NEGERI 1 PRAYA LOMBOK TENGAH Syamsul Bahri; Qurratul Aini; lailia Awalushaumi; Marliadi Susanto
Jurnal Abdi Insani Vol 7 No 2 (2020): Jurnal Abdi Insani Universitas Mataram
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/abdiinsani.v7i2.274

Abstract

Metode pembelajaran merupakan salah satu faktor yang menentukan keberhasilan dalam suatu proses pembelajaran, termasuk didalamnya pembelajaran matematika. Metode problem solving merupakan salah satu metode pembelajaran yang berbasis masalah yang dapat membuat proses pembelajaran menjadi lebih menarik dan menyenangkan. Kegiatan pengabdian ini bertujuan untuk memberikan pelatihan dan pemahaman kepada siswa tentang penerapan prosedur dan strategi problem solving model Polya dalam menyelesaikan permasalahan matematika yang berifat rutin maupun tidak rutin. Hasil kegiatan memperlihatkan bahwa siswa SMA Negeri 1 Praya Lombok Tengah belum familiar dengan metode ini, yang tercermin dalam jawaban siswa terhadap angket yang diberikan. Terhadap penerapan metode problem solving model Polya dalam penyelesaian soal matematika, jawaban siswa berbeda untuk tipe soal rutin dan yang tidak rutin. Untuk soal tipe rutin 87,50 % siswa menjawab dengan benar, sedangkan untuk tipe soal yang tidak rutin 56,26 % siswa menjawab tetapi belum maksimal memanfaatkan metode ini untuk memperoleh solusi dari permasalahan yang diberikan.