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IMPLEMENTATION OF THE TAGUCHI METHOD WITH TRAPEZOIDAL FUZZY NUMBER IN THE TOFUPRODUCTION PROCESS Wungguli, Djihad; Isa, Jefri N.; Payu, Muhammad Rezky Friesta; Nurwan, Nurwan; Nasib, Salmun K; Junus, Stella
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss3pp1313-1324

Abstract

Indonesians consume more tofu every week, proving that it is one of the country's most well-liked and potential food ingredients. Therefore, several people benefit from this positive potential as a business opportunity and improve the quality of their products as part of a market competition strategy. This study uses the Taguchi method and fuzzy logic to optimize the multi-response characteristic tofu production process. These multi-responses include water and protein content, each of which has the characteristics of "nominal is best" and "larger is better". In this experiment, three independent variables were varied: soybean soaking time, soybean porridge boiling time, and tofu lump pressing time. The experimental design used is the orthogonal matrix L9. This study aims to determine the optimal combination of independent variables and determine the contribution of each varible to the multi-response of water content and protein content simultaneously. The findings indicated that soaking soybeans for 4 hours, boiling soybean porridge for 70 minutes, and pressing tofu lumps for 20 minutes are the ideal settings to produce optimal multi-response simultaneously. Additionally, the duration of soybeans soaking contributed 14,74%, the duration of boiling soybean porridge contributed 29,50%, and the duration of pressing lumps of tofu contributed 38,18% to the multi-response.
Reformulation and Generalization Of Van Aubel's Theorem Using Complex Variables Laiya, Gusti Hari Fajar; Asriadi, Asriadi; Achmad, Novianita; Ismail, Sumarno; Nurwan, Nurwan
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i2.9051

Abstract

This research aims to reformulate and generalize Van Aubel’s Theorem using a complex number approach. Classically, Van Aubel’s Theorem states that if squares are constructed externally on the sides of an arbitrary quadrilateral, then the line segments connecting the centers of opposite squares are congruent and perpendicular to each other. Through a complex algebra approach, this research systematically reconstructs the proof of the theorem and extends its application to more complex geometric forms. The representation of points, rotations, and lines in the complex plane is employed to reprove and develop generalizations of the theorem. The results demonstrate that the use of complex numbers facilitates geometric analysis and reveals new patterns in geometric relationships. This research contributes to the advancement of modern geometry through algebraic methods and opens opportunities for further exploration of complex numbers in solving other geometric problems.
Implementation of the Reading to Learn Model to Improve Numeracy Literacy Skills at Smp Negeri 2 Suwawa Ismail, Sri Rahmawati; Nurwan, Nurwan; Kobandaha, Putri Ekawaty
Journal of Educational Sciences Vol. 9 No. 5 (2025): Journal of Educational Sciences
Publisher : FKIP - Universitas Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31258/jes.9.5.p.3388-3397

Abstract

Education today emphasizes the importance of numeracy literacy as part of the basic competencies in the Merdeka Curriculum. Numeracy literacy is an essential skill for students to understand and use mathematics in real-life contexts. This study aims to examine the influence of the Reading to Learn learning model on students' mathematical numeracy literacy skills in statistical material. This study uses a quantitative approach with a post-test-only control group design. Two eighth-grade classes at SMP Negeri 2 Suwawa were randomly selected as the sample. The experimental class was taught using the Reading to Learn model, while the control class received conventional instruction. The research instrument is an essay test that has been validated to measure mathematical numeracy literacy. Data analysis shows that the distribution is normal and the variance is homogeneous. The independent samples t-test revealed a significant difference between the post-test scores of the two groups, with the experimental class achieving a higher average. The effect size, calculated using Cohen's d, is 3.53, indicating a strong effect. These results indicate that the Reading to Learn model significantly improves students' mathematical numeracy literacy. This model helps students understand concepts contextually, think critically, and actively participate in learning.
Pengaruh Model Pembelajaran Problem Based Learning dan Model Pembelajaran Langsung Terhadap Hasil Belajar Matematis Siswa Pada Materi Barisan Aritmetika di Kelas X Aznaim, Aznaim; Majid, Majid; Nurwan, Nurwan
Innovative: Journal Of Social Science Research Vol. 4 No. 1 (2024): Innovative: Journal Of Social Science Research
Publisher : Universitas Pahlawan Tuanku Tambusai

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/innovative.v4i1.9146

Abstract

Tujuan dari penelitian ini yaitu untuk mengetahui apakah hasil belajar siswa kelas X IPA 1 yang dibelajarkan dengan model problem based learning lebih tinggi dibandingkan dengan kelas X IPA 2 yang dibelajarkan dengan model pembelajaran langsung. Subjek dari penelitian ini yaitu terdiri dari kelas X IPA 1 yang berjumlah 35 dan kelas X IPA 2 yang berjumlah 35 peserta. Metode yang digunakan dalam penelitian ini adalah eksperimen dan prosedur pengumpulan data yang digunakan yaitu tes essay. Hasil penelitian ini menunjukan bahwa, (1) terdapat pengaruh hasil belajar antara siswa yang dibelajarkan dengan menggunakan model problem based learning dan juga siswa yang dibelajarkan menggunakan model pembelajaran langsung, di mana kelas X IPA 1 memiliki rata - rata 45,45 dan kelas X IPA 2 memiliki rata – rata 41,22. (2) setelah dilakukan pengujian hipotesis yang menggunakan uji t dua sampel yang kemudian didapatkan bahwa hipotessi ditolak dan diterima karena memenuhi kriteria dalam pengujian hipotesis dimana dan .
Analisis dinamik model SVEIR pada penyebaran penyakit campak Ahaya, Sitty Oriza Sativa Putri; Rahmi, Emli; Nurwan, Nurwan
Jambura Journal of Biomathematics (JJBM) Volume 1, Issue 2: December 2020
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v1i2.8482

Abstract

In this article, we analyze the dynamics of measles transmission model with vaccination via an SVEIR epidemic model. The total population is divided into five compartments, namely the Susceptible, Vaccinated, Exposed, Infected, and Recovered populations. Firstly, we determine the equilibrium points and their local asymptotically stability properties presented by the basic reproduction number R0. It is found that the disease free equilibrium point is locally asymptotically stable if satisfies R01 and the endemic equilibrium point is locally asymptotically stable when R01. We also show the existence of forward bifurcation driven by some parameters that influence the basic reproduction number R0 i.e., the infection rate Î± or proportion of vaccinated individuals θ. Lastly, some numerical simulations are performed to support our analytical results.
Model matematika SMEIUR pada penyebaran penyakit campak dengan faktor pengobatan Hubu, Anisa Fitra Dila; Achmad, Novianita; Nurwan, Nurwan
Jambura Journal of Biomathematics (JJBM) Volume 1, Issue 2: December 2020
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v1i2.7970

Abstract

This study discusses the spread of measles in a mathematical model. Mathematical modeling is not only limited to the world of mathematics but can also be applied in the health sector. Measles is a disease with a high transmission rate. The spread of measles in this model was modified by adding the treated population and the treatment parameters of the exposed population. In this article, we examine the equilibrium points in the SMEIUR mathematical model and perform stability analysis and numerical simulations. In this study, two equilibrium points were obtained, namely the disease-free and endemic equilibrium point. After getting the equilibrium point, an analysis is carried out to find the stability of the model. Furthermore, the simulation produces a stable disease-free equilibrium point at conditions R01 and a stable endemic equilibrium point at conditions R01. In this study, a numerical simulation was carried out to see population dynamics by varying the parameter values. The simulation results show that to reduce the spread of measles, it is necessary to increase the rate of advanced immunization, the rate of the infected population undergoing treatment, and the proportion of individuals who are treated cured.
Overview of Human Resource Management in Islamic Economics Nurwan, Nurwan; Hamid Habbe, Abdul; Wahab, Abdul
Dinasti International Journal of Economics, Finance & Accounting Vol. 2 No. 5 (2021): Dinasti International Journal of Economics, Finance & Accounting (November - De
Publisher : Dinasti Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.38035/dijefa.v2i5.1051

Abstract

Islamic economic human resources are said to be important because Islamic economic resources must have morals, skills and competencies. The purpose of this study is to review how the concept of human resource management in Islam is.The data collection method in the article is a literature study with descriptive analysis. The results of the study stated thatHuman resources in Islam are those who have the noble qualities of the Prophet SAW, namely Siddiq (true and honest), Amanah (honest/trustful, responsible), Fathanah (intelligent) and Tabligh (transparent). These qualities will produce human resources who are kafa'ah (professional), amanah (trustworthy), and himmatul amal (work motivation).
The tropical version of El Gamal Encryption Muanalifah, Any; Isnawati, Ayus Riana; Artes Jr., Rosalio; Nurwan, Nurwan
Journal of Natural Sciences and Mathematics Research Vol. 9 No. 2 (2023): December
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

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

Abstract

In this paper, we consider the new version of tropical cryptography protocol, i.e the tropical version of El Gamal encryption.  We follow the ideas and modify the clasical El Gamal encryption using tropical matrices and matrix power in tropical algebra. Then we also provide a toy example for the reader’s understanding. 
Developing a Python-Based Application for a Discrete-Time Population Dynamics Model Nadhilah, Farhah; Panigoro, Hasan S.; Arsal, Armayani; Nurwan, Nurwan; Wungguli, Djihad; Hasan, Isran K.
Indonesian Journal of Computational and Applied Mathematics Vol. 1 No. 2: June 2025
Publisher : Gammarise Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64182/indocam.v1i2.20

Abstract

Difference equation is a type of equation in mathematics that is widely used to describe certain phenomena as time changes, one of which is in the field of population dynamics. In various studies, it is explained that solving complex population dynamics models is by using numerical simulations. Along with the development of technology, computational science is used to help solve mathematical problems that are difficult to solve analytically. One of them is to use a programming language, such as Python, to help present data in a graphical form. This research aims to develop an application that presents a computational solution to a difference equation using Python. The numerical results begin by entering the equation and variable values into the application, which then automatically generates a figure according to the entered equation. The figures generated in the application include one-dimensional and two-dimensional time series, as well as a Bifurcation diagram.
A Generalization of Chio’s Condensation Method Any Muanalifah; Yuli Sagita; Nurwan Nurwan; Aini Fitriyah; Rosalio Artes Jr
Pattimura International Journal of Mathematics (PIJMath) Vol 3 No 1 (2024): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol3iss1pp15-22

Abstract

The Chio condensation method is a method to compute the determinant of a matrix A where by reducing the order of the matrix to a matrix. In this paper, we will generalize the condition where can be equal to zero. To compute the determinant, we can choose any element of matrix A that is not equal to zero as a pivot element.