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Limits: Journal of Mathematics and Its Applications

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Published by Institut Teknologi Sepuluh Nopember Surabaya

ISSN : 1829605X EISSN : 25798936 DOI : -

Core Subject : Science, Education,

Computer Science & IT Mathematics

Limits: Journal of Mathematics and Its Applications merupakan jurnal yang diterbitkan oleh Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia. Limits menerima makalah hasil riset di semua bidang Matematika, terutama bidang Analisis, Aljabar, Pemodelan Matematika, Sistem dan Kontrol, Matematika Diskrit dan Kombinatorik, Statistik dan Stokastik, Matematika Terapan, Optimasi, dan Ilmu Komputasi. Jurnal ini juga menerima makalah tentang survey literatur yang menstimulasi riset di bidang-bidang tersebut di atas.

Arjuna Subject : Matematika - Matematika Terapan

Articles 257 Documents

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A Study of Energy on k-Splitting and k-Shadow Graphs Muhammad Husnul Khuluq; Vira Hari Krisnawati
Limits: Journal of Mathematics and Its Applications Vol. 21 No. 2 (2024): Limits: Journal of Mathematics and Its Applications Volume 21 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Let G=(V,E) be a graph. The k-splitting graph of G, denoted by S_k (G), is a graph constructed by adding to each vertex v of G as many as k new vertices such that the k new vertices are adjacent to the vertices that are adjacent to v. The k-shadow graph of G, denoted by D_k (G), is a graph constructed by taking k copies of G and connecting each of these vertices with each of its neighboring vertices. The energy of a graph G is defined as the sum of the absolute values of all eigenvalues in the matrix for the graph. In this article, we study the energy of the k-splitting graph and the k-shadow graph, which are the energy of the adjacency matrix, the energy of the maximum degree matrix, the energy of the minimum degree matrix. We also revise the Sombor energy of the k-splitting graph and the k-shadow graph and we compare this result with the results carried out by previous researchers.

Struktur Subring Deret Pangkat Tergeneralisasi Sebagai Himpunan Matriks Berindeks Monoid Budi Surodjo; Saifullah Ali
Limits: Journal of Mathematics and Its Applications Vol. 21 No. 2 (2024): Limits: Journal of Mathematics and Its Applications Volume 21 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Himpunan semua matriks berukuran atas ring dapat dipandang sebagai subring dari ring polinomial atas penjumlahan dan perkalian matriks, sebagai matriks berukuran tak hingga dari . Sedangkan ring polinomial merupakan bentuk khusus ring deret pangkat tergeneralisasi (RDPT) dengan mengganti dengan sebarang monoid terurut tegas dan . Kondisi ini memungkinkan memandang sebarang elemen RDPT sebagai matriks tergeneralisasi dengan indeks monoid yang tidak selalu hingga. Paper ini difokuskan pada pengaruh konvolusi dan perkalian matriks pada pengkonstruksian subring khusus dari RDPT, sebagai bagian dari .

Sifat Fundamental Pada Granum Eulerian Suaib A. Siraj; Asriadi; Djihad Wungguli; Hasan S. Panigoro; Nurwan; Nisky I. Yahya
Limits: Journal of Mathematics and Its Applications Vol. 21 No. 2 (2024): Limits: Journal of Mathematics and Its Applications Volume 21 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Mathematical analysis has several important connections with graph theory. Although initially, they may seem like two separate branches of mathematics, there are relationship between them in several aspects, such as graphs as mathematical objects that can be analyzed using concepts from analytic mathematics. In graph theory, one often studies distance, connectivity, and paths within a graph. These can be further analyzed using analytic mathematics, such as in the structure of natural numbers. Literature studies on graph theory, especially Eulerian graphs, are interesting to explore. An Eulerian path in a graph G is a path that includes every edge of graph G exactly once. An Eulerian path is called closed if it starts and ends at the same vertex. The concept of granum theory as a generalization of undirected graphs on number structures provides a rigorous approach to graph theory and demonstrates some fundamental properties of undirected graph generalization. The focus of this study is to introduce the connectivity properties of Eulerian granum. The granum G(e,M) is called connected if for every u,v E M with u != v there exists a path subgranumG^' (e,M^' )c G(e,M) where u,v E M^' and is called an Eulerian granum if there exists a surjective mapping O: [||E(G(e,M))|| + 1]-> M such that e(o(n),o(n+1))=1 for every n E [||E(G(e,M))||]. This property provides a deeper understanding of the structure and characteristics of Eulerian granum, which have not been fully comprehended until now.

Indeks Pembangunan Gender Indonesia dalam Perspektif Pendekatan Spasial dengan Pembobot Queen Contiguity Dita Amelia; Made Riyo Ary Permana; Adelia Frielady Yosifa; Ardi Kurniawan; Suliyanto
Limits: Journal of Mathematics and Its Applications Vol. 21 No. 2 (2024): Limits: Journal of Mathematics and Its Applications Volume 21 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Isu gender menjadi fokus global karena ketimpangan dalam hak-hak dan kontribusi laki-laki dan perempuan dalam pembangunan. Pencapaian Indeks Pembangunan Gender (IPG) menjadi tolok ukur penting dalam upaya mencapai kesetaraan gender dan pembangunan manusia yang inklusif di Indonesia. Penelitian ini bertujuan untuk memodelkan Indeks Pembangunan Gender di Indonesia dengan pendekatan regresi spasial dengan variabel-variabel yang diduga mempengaruhi IPG. Metode yang digunakan dalam penelitian ini adalah regresi spasial dengan pembobot Queen Contiguity . Berdasarkan penelitian yang telah dilakukan dengan tiga jenis pemodelan didapatkan model terbaik dalam pemodelan Indeks Pembangunan Gender di Indonesia adalah model regresi spasial error dengan nilai AIC sebesar 154,950 dan nilai R 2 sebesar 0,6643. Analisis spasial mengungkapkan adanya korelasi dan heterogenitas spasial antar wilayah, menyoroti pentingnya mempertimbangkan aspek spasial dalam merancang kebijakan untuk meningkatkan pembangunan gender di Indonesia. Dengan demikian, upaya perbaikan dan kesetaraan gender sebaiknya diterapkan dengan mempertimbangkan variabilitas spasial serta fokus pada aspek-aspek yang telah diidentifikasi melalui pemodelan ini.

Penentuan Effective Reproduction Number COVID-19 dengan Metode Particle Swarm Optimization pada Enam Provinsi di Pulau Jawa Aldi Eka Wahyu Widianto; Julinar; Karohmatul Amalia MS; Venansius Ryan Tjahjono
Limits: Journal of Mathematics and Its Applications Vol. 20 No. 2 (2023): Limits: Journal of Mathematics and Its Applications Volume 20 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Penyakit COVID-19 pertama kali ditemukan di Wuhan, China. COVID-19 menular melalui cairan dari individu yang terinfeksi. Dalam 3 bulan sejak kemunculan pertama, COVID-19 telah menyebar ke 114 negara di dunia. Artinya penyakit ini memiliki tingkat penularan yang tinggi. Oleh karena itu, perlu dilakukan pemodelan untuk mengetahui penyebaran dari virus COVID-19 guna membantu dalam pengambilan kebijakan untuk menangani virus ini. Pada paper ini, model SIRD digunakan untuk memodelkan penyebaran COVID-19 di Indonesia dimana populasi dibagi menjadi empat kompartemen, yaitu Susceptible-Infected-Recovered-Death . Kami melakukan pendekatan stokastik pada model SIRD agar model lebih realistis. Data yang digunakan pada paper ini adalah data COVID-19 pada enam provinsi di Pulau Jawa. Metode Particle Swarm Optimization (PSO) digunakan untuk mengestimasi parameter model SIRD. Selanjutnya hasil estimasi parameter tersebut digunakan untuk menentukan tingkat penyebaran COVID-19 yang direpresentasikan dengan nilai Effective Reproduction Number . Berdasarkan hasil simulasi telah diperoleh nilai real time COVID-19 dari enam provinsi di Pulau Jawa. Nilai tersebut menunjukkan bahwa provinsi yang masih memiliki tingkat penyebaran COVID-19 tinggi adalah provinsi Jawa Barat dan DKI Jakarta. Untuk keempat provinsi yang lain, dapat diketahui bahwa tingkat penyebaran COVID-19 mulai menurun. Hasil estimasi memiliki nilai kesalahan Mean Absolute Percentage Error (MAPE) dibawah 10%, artinya estimasi tersebut memiliki tingkat akurasi yang tinggi.

Kriteria Cauchy Integral Riemann di Ruang Riesz Muhammad Arifin Ilham; Jerrico Nugroho; Made Tantrawan
Limits: Journal of Mathematics and Its Applications Vol. 21 No. 2 (2024): Limits: Journal of Mathematics and Its Applications Volume 21 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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In 2008, Boccuto and Candeloro [4] introduced a variant of Riemann integral for Riesz valued functions defined on an order interval in a Riesz space. In this paper, we present an equivalent definition and several Cauchy criterion versions of the integral. Furthermore, some applications of the Cauchy criterion are provided.

Analisis Model Epidemi SVEIR Pada Penyebaran Penyakit Campak dengan Tiga Kali Vaksinasi Silvitasari; Kridha Pusawidjayanti
Limits: Journal of Mathematics and Its Applications Vol. 21 No. 2 (2024): Limits: Journal of Mathematics and Its Applications Volume 21 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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In 2021, there will be 9 million cases of measles worldwide. Twenty-two countries have large numbers of measles infections. The Ministry of Health of the Republic of Indonesia or Ministry of Health recorded that there were more than 3,341 cases of measles spread across 223 districts/cities in 31 provinces. The control of measles cases carried out by the Indonesian government has been through vaccination since 2000. The first vaccine is given to children aged nine months, the second vaccine is given to children aged 18 months, and the third dose is in grades 1-6 of elementary school (SD). This research uses the SVEIR mathematical model for the spread of measles with adjustments to government efforts and recommendations from the Indonesian Pediatrician Association (IDAI) to prevent an increase in the spread of measles through preventative vaccination. In this SVEIR model, there are seven classes, namely Susceptible (S), first dose vaccination (V1), second dose vaccination (V2), third dose vaccination (V3), Exposed (E), Infected (I), and Recovered (R). This research aims to analyze the SVEIR model on the spread of measles with three vaccinations, the stability of the equilibrium point, and determine the effect of vaccination in controlling measles. The analysis results show that the endemic equilibrium point is asymptotically unstable, and the non-endemic equilibrium point is asymptotically stable with R_0=0.0736829 <1. This indicates that measles will disappear on the 260th day or around 8.5 months after implementing the vaccination program.

Analisis Nilai Inflasi Bulanan Indonesia Menggunakan Regresi Nonparametrik Estimator Kernel Azzah Nazhifa Wina Ramadhani; Adelia Sukma Dwiyanto; Nuzulia Anid; Muhammad Hafidzuddin Nahar; Dita Amelia
Limits: Journal of Mathematics and Its Applications Vol. 21 No. 2 (2024): Limits: Journal of Mathematics and Its Applications Volume 21 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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High levels of inflation are plaguing Indonesian society. Inflation occurs due to price increases as indicated by the increase in most expenditure group indices. This can lead to a higher poverty rate in Indonesia. This study aims to identify the best method that can be used to estimate Indonesia's monthly inflation value based on a nonparametric regression approach with a kernel estimator and analyze the results of predicting Indonesia's monthly inflation value for the next four months. The data used in this study is secondary data sourced from Bank Indonesia, with the variable used is the value of Indonesian inflation during the period January 2019 to July 2024. The collected data were analyzed using descriptive statistics and analytical statistics in the form of nonparametric regression with kernel estimators and predictions using kernel estimator and non-seasonal ARIMA methods. The results showed that triweight kernel regression was the best kernel function model with a minimum bandwidth value of 1.214, value of 99.990, MSE of 0.00016, and MAPE of 0.348%. The results of data prediction for the next thirteen months provide that triweight kernel estimator was better than non seasonal ARIMA method, with a MAPE value of 10.92%, so that the nonparametric regression method with the triweight kernel function is good or accurate in predicting data, which also can be used to analyze and predict Indonesia's monthly inflation data.

Small Area Estimation Anak Tidak Sekolah di Pulau Kalimantan Tahun 2023 Luthfio Febri Trihandika; Azka Ubaidillah; Afifah Az-Zahra; Amirudin; Milla Rusydiana; Zahra Maharani
Limits: Journal of Mathematics and Its Applications Vol. 21 No. 2 (2024): Limits: Journal of Mathematics and Its Applications Volume 21 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Equitable and quality education is one of the priority goals, both nationally and internationally, in achieving the Sustainable Development Goals (SDGs). The quality of education in a region can be seen through the indicator of the percentage of out-of-school children aged 7-17 years. Kalimantan Island is one of the regions that has a high number of out-of-school children, higher than the national rate. To overcome this problem, appropriate policies are needed to improve the quality of education. Therefore, the provision of precise, accurate, and precise data is needed. This is especially true in the provision of “small area” data, at least at the district/city level. Although estimation at the kabupaten/kota level has been conducted by BPS, there is still a problem of low precision. One solution that can be applied in estimating is by using Small Area Estimation (SAE). This study aims to estimate the percentage of children aged 7-17 years who are not in school by district/city in Kalimantan Island in 2023. The author compares the estimation using Empirical Best Linear Unbiased Predictor (EBLUP) and Hierarchical Bayes Beta (HB Beta). The results show that the HB Beta estimation is better than the EBLUP estimation. Estimation using EBLUP resulted in two districts/cities with RSEs of more than 25 percent, namely Samarinda and Kutai Kartanegara. Meanwhile, estimation using HB Beta produces better precision with an overall RSE value below 25 percent

Pembuktian Ukuran Kuantum dan Ukuran Possibility Sebagai Perumuman Ukuran yang Tidak Saling Memperumum Miftahul Fikri
Limits: Journal of Mathematics and Its Applications Vol. 20 No. 2 (2023): Limits: Journal of Mathematics and Its Applications Volume 20 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Sejak Planck dan Zadeh masing-masing mengkaji teori kuantum dan teori possibility, kajian kedua teori ini terus dilakukan hingga sekarang. Dari sisi matematika, kedua teori ini yang berkaitan langsung dan menjadi dasar dalam berbagai kajian baik teoritis maupun aplikatif adalah ukuran kuantum dan ukuran possibility. Meskipun dalam banyak literatur ukuran kuantum dan ukuran possibility merupakan perumuman ukuran tetapi tidak dibuktikan berdasarkan definisi sehingga tidak nampak secara langsung substansi perumuman tersebut. Selain itu, dalam berbagai literatur juga tidak ditemukan pembahasan keterkaitan antara ukuran kuantum dan ukuran possibility. Oleh karena itu, pada penelitian ini dilakukan pembuktian berdasarkan definisi baik ukuran kuantum dan ukuran possibility merupakan perumuman ukuran maupun ukuran kuantum dan ukuran possibility tidak saling memperumum sehingga ukuran merupakan irisan keduanya.

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Home Page

OAI Link

Editorial Team

Contact

Reviewer

Google Scholar

Contact Name Chairul Imron

Contact Email cha_imron15@its.ac.id

Phone +6285648721814

Journal Mail Official limits.matematika@its.ac.id

Editorial Address Departemen Matematika Fakultas Sains dan Analitika Data Institut Teknologi Sepuluh Nopember Sukolilo, Surabaya 60111, Indonesia Phone: +62-31-5943354 Email: limits.matematika@its.ac.id

Location Kota surabaya, Jawa timur INDONESIA

Abstract

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Abstract

Contact Name
Chairul Imron

Contact Email
cha_imron15@its.ac.id

Phone
+6285648721814

Journal Mail Official
limits.matematika@its.ac.id

Editorial Address
Departemen Matematika Fakultas Sains dan Analitika Data Institut Teknologi Sepuluh Nopember Sukolilo, Surabaya 60111, Indonesia Phone: +62-31-5943354 Email: limits.matematika@its.ac.id

Location
Kota surabaya,

Jawa timur

INDONESIA