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Hendra Cipta

Universitas Islam Negeri Sumatera Utara

Author-ID : 7598849

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PENYELESAIAN MENGGUNAKAN RUMUS EULER PADA BILANGAN KOMPLEKS CIPTA, HENDRA
Jurnal Sains dan Matematika Vol. 4 No. 1 (2023): Jurnal Sains dan Matematika
Publisher : PMIPA FKIP UNJA

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

Studi ini membahas penyelesaian persamaan trigonometri menggunakan rumus Euler pada bilangan kompleks dimana rumus Euler diturunkan dari Deret Taylor sehingga diperoleh rumusan bentuk rumus Euler dalam menyelesaikan persamaan trigonometri. Kata Kunci : Rumus Euler, deret Taylor

Estimation of Logistic Regression Model on The Risk of Acute Respiratory Infection Toddlers at Cikampak Torgamba Public Health Center Using The Maximum Likelihood Method Sari, Dian Maya; Rakhmawati, Fibri; Cipta, Hendra
MAJAMATH: Jurnal Matematika dan Pendidikan Matematika Vol. 5 No. 1 (2022): Vol. 5 No. 1 Maret 2022
Publisher : Prodi Pendidikan matematika Universitas Islam Majapahit (UNIM), Mojokerto, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36815/majamath.v5i1.1762

According to the World Health Organization (WHO), the incidence of Acute Respiratory Infections (ARI) in the world by number of toddler who died achieve ± 13 million each year. Researchers will estimate the model equations logistic regression using maximum likelihood. The purpose of this study was to determine the logistic regression model against respiratory infection in infants and the test results of the method of maximum likelihood against respiratory infection in infants in the health center Cikampak Torgamba. Logistic regression Model against the toddler obtained results that the model to be used and the test results of the method of maximum likelihood that the model is significant.

Analisis Model Seirs terhadap Kecanduan Gadget Anak Usia Dini dengan Metode Runge-Kutta Orde-5 Suratna, Ayu Annisa; Cipta, Hendra; Sari, Rina Filia
MAJAMATH: Jurnal Matematika dan Pendidikan Matematika Vol. 6 No. 1 (2023): Vol 6 No 1 Maret 2023
Publisher : Prodi Pendidikan matematika Universitas Islam Majapahit (UNIM), Mojokerto, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36815/majamath.v6i1.2470

Penelitian ini membahas tentang kecanduan gadget yang dialami oleh anak usia dini menggunakan model matematika SEIRS, yang kemudian dianalisis menggunakan Runge-Kutta Orde ke-5. Hasil dari penelitian ini adalah model matematika dS/dt=-0.14SI+0.03R, S(0)=5; dE/dt=0.14SI-0.012E, E(0)=22; dI/dt=0.006E-0.01I, I(0)=4; dR/dt=0.01I+0.012E-0.03R, R(0)=19. Dari model tersebut dihasilkan nilai iterasi dengan menggunakan Metode Runge-Kutta orde ke 5 pada waktu t=1 sampai t=3 dan ukuran langkah h=1 . Solusi model matematika SEIRS menghasilkan iterasi yang mengalami kenaikan dan penurunan. Namun, Metode Runge-kutta dinyatakan efektif dalam penyelesaian Model SEIRS karena angka galat yang dihasilkan mendekati nilai 0.

Application of Robust Regression with MM-Estimation to Aggregated Data on Iron Tablet Receipt and Consumption among Pregnant Women in North Sumatra Province Putri, Octa Yulanda; Cipta, Hendra
Desimal: Jurnal Matematika Vol. 9 No. 1 (2026): Desimal
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v9i1.30389

Aggregated administrative data are widely used to monitor large-scale public health programs, yet their statistical analysis is often challenged by population heterogeneity and the presence of influential observations that can undermine conventional regression inference. This study applies robust regression with MM-estimation to aggregated data on iron tablet receipt and consumption among pregnant women in North Sumatra Province. As a baseline, ordinary least squares regression is first employed to examine associations between program-related indicators and the reported number of compliant pregnant women. Diagnostic evaluations reveal substantial leverage and influential units, indicating that ordinary least squares estimates are sensitive to extreme observations and scale-driven distortions inherent in regional administrative data. To address this issue, robust regression using MM-estimation is applied due to its high breakdown point and efficiency under conditions of influential observations. The comparative analysis demonstrates notable differences in coefficient stability and inferential conclusions between the conventional and robust models, highlighting how population scale effects can mechanically dominate regression outcomes when robustness is not considered. Rather than advancing causal claims regarding program effectiveness, this study emphasizes the methodological implications of applying robustness-oriented estimation techniques to aggregated administrative data. The findings underscore the importance of robust regression as a corrective analytical strategy for improving inferential stability and reliability in applied statistical analyses of regional health data characterized by heterogeneity and influential observations.

Prediction of Monthly Rainfall using Fuzzy Logic Tsukamoto in Medan Belawan Dian Aulia Zulfa; Hendra Cipta
EduMatSains : Jurnal Pendidikan, Matematika dan Sains Vol 9 No 2 (2025): January
Publisher : Fakultas Keguruan dan Ilmu Pendidikan, Universitas Kristen Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33541/edumatsains.v9i2.6499

Rainfall prediction plays an important role in understanding the pattern of rainfall movement for daily life. This research aims to predict monthly rainfall in Medan Belawan using the Tsukamoto fuzzy logic method. Tsukamoto fuzzy logic is used to predict monthly rainfall in Medan Belawan. This method uses several steps, starting from data input, fuzzification, inference, to defuzzification to help predict rainfall. This research aims to apply Tsukamoto fuzzy logic to monthly rainfall prediction. Fuzzy logic has tolerance for imprecise data. This rainfall prediction uses 4 (four) input variables, namely air temperature, air humidity, air pressure and wind speed, and 1 (one) output variable, namely rainfall as a crips value which is the output generated for rainfall prediction. The data used is 12 monthly data from January 2023 to December 2023. The results show the accuracy of the fuzzy method of 57.75% using the MAPE calculation and show that the calculation of the Tsukamoto fuzzy method is sufficient or feasible to do.

Sentiment Analysis of Shopee App Usage Reviews Using Metaheuristic Algorithm Optimization yusmanidar; Hendra Cipta; Rini Halila Nasution
EduMatSains : Jurnal Pendidikan, Matematika dan Sains Vol 10 No 3 (2026): January
Publisher : Fakultas Keguruan dan Ilmu Pendidikan, Universitas Kristen Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33541/edumatsains.v10i3.7824

Sentiment analysis is widely used to classify opinions expressed in textual data; however, many previous studies employing Support Vector Machine (SVM) do not explicitly address parameter optimization, which can lead to suboptimal classification performance. To address this research gap, this study integrates Particle Swarm Optimization (PSO) to optimize key SVM parameters for sentiment analysis of Shopee application reviews. The dataset consists of 1,000 Indonesian language user reviews collected from the Google Play Store between January and August 2025. Text preprocessing was conducted prior to feature extraction using the Term Frequency–Inverse Document Frequency (TF-IDF) method. PSO was applied to optimize the kernel parameters, penalty parameter (C), and gamma value of the SVM model. The results demonstrate that PSO-based optimization significantly improves classification performance, increasing accuracy from 86.0% to 90.0%, precision from 86.9% to 90.6%, recall from 87.6% to 91.2%, and F1-score from 87.2% to 90.9%. Additionally, positive reviews are dominated by keywords such as “cheap,” “fast,” and “free shipping,” while negative reviews frequently contain terms such as “error” and “slow.” These findings confirm that PSO effectively enhances SVM performance and provides reliable insights into user sentiment toward e-commerce applications.

Optimizing stock allocation and profit in MSMEs: Multiple constraints bounded Knapsack model solved using Grey Wolf Optimizer algorithm Dalilah, Mufarrida; Cipta, Hendra
Bulletin of Applied Mathematics and Mathematics Education Vol. 5 No. 2 (2025)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/bamme.v5i2.14728

Effective inventory management is a determining factor in the probability and sustainability of micro, small, and medium enterprises (MSMEs). Adjusting the ideal stock of each product type that has to be distributed while taking perishable items, storage capacity constraints, and client demand unpredictability into account is a difficulty. Stock allocation must maximize profit while adhering to intricate constraints and particular item number limitations in the multiple-constraints Knapsack problem. This research aims to apply the Grey Wolf Optimizer (GWO) algorithm to the multiple constraints bounded Knapsack problem for optimal stock allocation while increasing profitability for MSMEs by comparing the ideal value of the simplex technique. The population parameter (Npop) and the maximum iteration (Max Iter) were the two parameters used to test the GWO method. According to sensitivity analysis, the GWO algorithm optimization study was less successful in producing the best outcomes. This resulted from a discrepancy between the simplex method's IDR 9,508,000 profit optimization and GWO's IDR 9,440,000. Nonetheless, the GWO method was almost ideal, as indicated by the deviation percentage of 0.7152%. The study highlights the applicability of metaheuristic optimization for MSME management inventory, offering a near-optimal solution with minimal deviation from analytical results. Limitations include the single-case scope and parameter sensitivity of the GWO algorithm.

Analisis Sistem Antrian Multi Chanel-Multi Phase pada Pelayanan Pembuatan Kartu Tanda Penduduk dengan Model Antrian (M/M/C):(GD/ ) di Disdukcapil Labuhanbatu Selatan Rahmadani, Sri; Cipta, Hendra; Lubis, Riri Safitri
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.27006

Public administrative services require speed, effectiveness, and efficiency to meet community expectations. At the Civil Registration Office of Labuhanbatu Selatan Regency, the issuance of identity cards (KTP) often experiences long queues, especially on specific days such as the beginning of the week and after major holidays. This study aims to analyze the performance of the current queuing system and determine the most appropriate model to improve service quality. A qualitative case study approach was used, supported by primary data obtained through direct observation of customer arrivals and service duration over five working days. Queueing theory was applied to test the distribution of arrivals and service times as well as evaluate system performance indicators. The results show that arrival patterns follow a Poisson distribution while service times follow an exponential distribution. The appropriate model for the system is the Multi Channel–Multi Phase (M/M/C):(GD/) queue. The highest utility rate occurred at entrance 2, reaching 30%, yet the average waiting time remained low at 0.18–0.24 minutes. Thus, the current queuing system is considered effective and capable of managing service demand without causing critical congestion.

Penerapan Regresi Logistik Biner Pada Faktor-Faktor Perceraian di Kota Medan Fitriani Fitriani; Hendra Cipta; Rina Widyasari
FARABI: Jurnal Matematika dan Pendidikan Matematika Vol 8 No 2 (2025): FARABI: Jurnal Matematika dan Pendidikan Matematika
Publisher : Program Studi Pendidikan Matematika FKIP UNIVA Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47662/farabi.v8i2.1243

Divorce is a court decision on the termination of a marriage. Divorce brings with it a negative impact, especially on the children of the couple's marriage. Children who are victims of divorce tend to be prone to feeling afraid, sad, guilty to trigger stress and depression in children which then has a bad impact on relationships during the child's growth and development. Therefore, it is necessary to conduct an analysis to find out the factors of divorce. In this research, the analysis used is binary logistic regression with the response variables in the binary category of divorce, namely “cerai talak” and “cerai gugat”. While the stimulus variables in this study were 13 objects obtained based on secondary data documentation of Courts. The results of this research are obtained five factors that have a significant effect, namely age at marriage and profession of who filing for divorce and divorce defendant, as well as the education of who filing for divorce. The interpretation of the results of binary logistic regression analysis shows that, the age of divorced defendant at the time of marriage has a 1,15 times greater effect on the cerai gugat, while the age of who filed for divorce has a 0.68 times greater effect on the cerai talak. Keywords: Divorce, Factors, Binary Logistics Regression

Identifikasi Sektor Basis dan Non Basis Berdasarkan Data PDRB Kabupaten Karo Menggunakan Metode Location Quotient (LQ) pada Badan Pusat Statistik Kabupaten Karo Ade Putri Oktavia; Dwi Ananta Br Sembiring; Aishikin Jovanka; Fadillah Nay Marbintang Hrp; Hendra Cipta
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 4 No. 3 (2026): Juni: Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/bilangan.v4i3.965

This study is motivated by the importance of identifying the economic structure and leading sectors of a region as a basis for regional economic development planning. Karo Regency, as one of the regions in North Sumatra Province, has economic potential that needs to be analyzed to determine sectors with comparative advantages. The purpose of this study is to identify base and non-base sectors in Karo Regency. The method used in this research is the Location Quotient (LQ) method with a descriptive quantitative approach. The data used are Gross Regional Domestic Product (GRDP) at constant prices by sector for the period 2021–2023 obtained from official publications of Badan Pusat Statistik Kabupaten Karo and Badan Pusat Statistik. The results show that the agriculture, forestry, and fisheries sector is a base sector with a comparative advantage in Karo Regency, indicated by an LQ value greater than one. Meanwhile, most other sectors are classified as non-base sectors with relatively smaller contributions compared to the provincial level. These findings indicate that the economic structure of Karo Regency is still dominated by the primary sector. The implication of this study is the need for development policies that focus on strengthening leading sectors while also promoting the development of non-base sectors to achieve a more balanced and sustainable economic structure.

Co-Authors - Hwihanus Abdul Halim Hasugian Ade Putri Oktavia Adek Kumala Sari Afrina Sinaga, Serly Agung Fitrahadi Agustian, Nandi Ahmad Ali Nasution Ahmad Fadholi Aishikin Jovanka Aisy Al-Khansa Alfinda Kharisma Amalia, Feby Ayu Ambia Nurdin Amiruddin Amiruddin Amiruddin Amiruddin Apriza, Muhammad Amizaeni Arianti, Mei Yunina Arini Arini Aulia, Surayya Ayu Annisa Suratna Ayu Hariati Ayunda, Afrila Barmawi -, Barmawi Batubara, Fikri Husin Breghi, Willy Bukhari Bukhari Clara, Nur Cellia Cynthia, Mayang Modelina Dalilah, Mufarrida Dalimunthe, Aldiansah Darmiko Suhendra Desiana Desiana Destiana, Yolanda dewi, mutia hatina Dian Aulia Zulfa Dian Maya Sari Dian Maya Sari Dian Nugraha Dimas Sunanta Diyan Mentari Siregar Dongoran, Raisha Zuhaira Dwi Ananta Br Sembiring Elsyah Suhadiyah Erika Handayani Br Siahaan Fadila Inka Syahfitri Fadillah Nay Marbintang Hrp Fahlevi, Mahfudz Reza Fatimah Ritonga Fauzi Aldina Fauzi Aldina Fernando, Anjas Fitriani Fitriani Fitriani Fitriani Fitriani Gurusinga, Ditha Aulia Gusti Arya Wicaksana Handrianto, Michael Harahap, Baran Enda Hari Kurniawan Hasibuan, Hani Maulida Hasibuan, Mhd Panerangan Hasibuan, Muhammad Afif Fauzi Hasyim Lubis Hatamar, Hatamar Hazizah, Salsabillah Ika Silvia Ramadani Ilham Syaputra Indra Willy Juliansya Ir Zulkarnain, Ayu Najmita Binti Iren Salsalina Irvani, Ahmad Islamiyah, Annisa Rizka Ismail Husein, Ismail Ismanto, Reno Isnani Nurul Deva Kana Nurrohma Khairani, Sabila Khairul Azmi Lathifah Hanum Lia Lestari Linna Syahputri Linna Syahputri Lubis, Riri Safitri M. Hafizh Ramadhan Mahyuddin Marina Ulfah Mario Bagus Sanjaya Marpaung, Rizq Alwi Matondang, Agnes Febrianti May Fitriana Hasibuan Mei Yunina Arianti Meilani, Reka Mhd Ikhsan Rifki Mirna Rahmah Lubis Muhammad Alfi Syahri Harahap Muhammad Haikal Muhammad Haikal Muhammad Irham Setiadi Muhammad Muhammad Muliana, Muliana Mutadhahadi Mutadhahadi mutia hatina dewi Nasrul Mahruf Aznawi Nasution, Faisal Anshori Nasution, Hamidah Nasution, Hanifa Mardiatun Nasution, Mutiah Nike Ardena Br Ginting Ningsi, Ria Sagita Nugraha Pratama Ramadhan Nurdin, Ambia Nurfebriyanti, Endah Nurhalimah Ritonga Nurhaliza Nurhaliza Nurhaliza Nurhaliza Nurjannah Nurjannah Nurma Sari Nurul Aprilla Rizki Nurul Huda Prasetya Ok Muhammad Zikri Fadillah oktavia handayani Panca Taufik Kurahman Paramita, Esti Puspita, Reni Putra, Fani Darmawan Putri Harahap, Rahmelia Putri, Octa Yulanda Radiamoda, Anwar Rahma Nadira Br. Munte Rahmad Azhari Tampubolon Rahmad Julianto Rahmad Julianto Rahmadani, Artika Rakhmawati, Fibri Rezki Azmi Ricka Afriani Ricky Dear Fitria Ricky Dear Fitria Rico Pradana Dita Rima Aprilia Rima Aprilia Rima Aprilia Rina Filia Sari Rina Filia Sari Rina Filia Sari Rina Filia Sari, Rina Filia Rina Widyasari Rina Widyasari Rina Widyasari Rina Widyasari Rini Halila Nasution Riri Syafitri Lubis Ristika Dian Utami Rizka Auva Rafiqi Rizky Wandari Rizky, Aldi Rizq Alwi Marpaung Rohima Almahuwanah Rosnidawati Sajaratud Dur Sajaratud Dur Sajaratud Dur Sajaratud Dur Sajaratud Dur, Sajaratud SANAINI, SANAINI Santoso, Harri - Sartika Dewi Sembiring, Tesya Yunita Setyorini, Winarti Sianipar, Putri Nopriani Sinaga, Melly Nia Fajriani Siregar, Machrani Adi Putri Siti Khadijah Laoly SRI RAHAYU Sri Rahmadani, Sri Suhardina Rangkuti Suratna, Ayu Annisa Syahfitri, Nenna Irsa Syahputra, Bayu Teza Syahputri, Linna Tauratiya Teuku Maulana Uci Rahmadani Ulfa, Khoirina Umami, Fauzah Usman, Muslim Wenny Marta Dolok Saribu widya panjaitan Widyasari, Rina Wilia Usna Winda Risfani Nst Windu Asmoro Wita Sari, Eka Yuniar Amanda Lubis yusmanidar Zakirman, Al Fakhri Zakiyuddin Zakiyuddin Zakiyuddin Zakiyuddin Zamzami Zamzami Zamzami Zamzami Zulaika, Zulaika

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