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Desimal: Jurnal Matematika
Published by Universitas Islam Negeri Raden Intan Lampung
ISSN : 26139073     EISSN : 26139081     DOI : -
Core Subject : Education, Social,
Education Mathematics Social Sciences
Desimal: Jurnal Matematika, particularly focuses on the main issues in the development of the sciences of mathematics education, mathematics education, and applied mathematics. Desimal: Jurnal Matematika published three times a year, the period from January to April, May to Augustus, and September to December. This publication is available online via open access.
Arjuna Subject : -
Articles 330 Documents
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Hydra effects predator-prey bazykin's model with stage-structure and intraspecific for predator Pratama, Rian Ade; Amil Siddik, A. Muh.; Dadi, Oswaldus; Kasbawati, Kasbawati
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.v5i3.13160

Abstract

Bazykin's predator-prey population model is considered to represent the exchange stability condition of population growth. The existence of the hydra effect and, at the same time, analyzing its influence on population growth. The condition of the model divides the species into a stage structure, namely, prey, immature predators, and mature predators. The population growth of the three species has its own characteristics. This research revealed that the Holling type II and intraspecific predatory function responses together induce the Hydra effect. In the model formed, there are 12 equilibrium points, with details for every seven points of negative imaginary equilibrium and five points of non-negative equilibrium. The findings of research studies center on five points of non-negative equilibrium. All real roots that interpret the species population's growth conditions are taken and tested for long-term stability. The test results show one point of equilibrium that meets the Routh-Hurwitz criteria and their characteristic equations. In numerical simulations, the maximum sustained yield is in the local asymptotic stable state. The growth of prey trajectories increased significantly, although at the beginning of the interaction there was a slowdown in population growth. Meanwhile, the population of immature predators and mature predators was not significantly different. Both populations grow steadily toward the point of population stability. It turns out that the two populations grow inversely, the faster the rate of predation by predators, the faster the growth rate of the prey population.
Prediction analysis of the length of time for changes in the status of positive patients for covid-19 delta and omicron variants using the markov chain model Haryanto, Dwi; Addini, Fida Fathiyah
Desimal: Jurnal Matematika Vol. 5 No. 2 (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.v5i2.13567

Abstract

In this research, a Markov chain model was constructed from the conditions that might be experienced by the people during the Delta or Omicron variant of the COVID-19 pandemic. This condition is divided into 3 states; "0" indicates a healthy condition, "1" indicates the state of being infected with COVID-19, and "2" indicates the death state. Furthermore, from the model obtained, a transition probability matrix is made to determine the transition probability value and calculate the average number of steps needed to get to the death state. From the results of the analysis, the probability of transition to a state of death is 1. This shows that a person will surely die from being healthy or positive for COVID-19 within a certain time. During the Delta variant of the COVID-19 pandemic, the average time that a person reaches a death state from a healthy state is 34.02 years. Meanwhile, the average time taken for someone infected with the Delta variant of COVID-19 to death is 33.79 years. During the Omicron variant of the COVID-19 pandemic, the average time that a person reaches a death state from a healthy state is 37.63 years. Meanwhile, the average time taken for someone infected by the Omicron variant of COVID-19 to death is 37.41. This shows that the average age of a person infected with the Delta variant of COVID-19 has decreased by 2.79 months, while the average age of a person infected with the Omicron variant of COVID-19 has decreased by 2.70 months.
Mathematical critical thinking ability based on self-concept in discovery learning model assisted by ispring suite Ardhini, Rosa Ary; Rochmad, Rochmad; Asih, Tri Sri Noor
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.v5i3.13693

Abstract

Students’ cognitive abilities were influenced by several affective abilities, one of them was self-concept. Critical thinking ability is an important ability in learning mathematics. The purpose of this research was to describe mathematical critical thinking skills based on self-concept in the discovery learning model assisted by iSpring Suite. This research used a qualitative method. The research subjects were grouped based on self-concept category, where each category is chosen by two students to analyze their mathematical critical thinking skills. This research collects data by using mathematical critical thinking skills tests, self-concept questionnaires, interviews, observation, and documentation. Data validity used the triangulation technique. Data analysis techniques were carried out by data collection, data reduction, data display, and verification. The results showed that students with a high self-concept category were able to fulfill every indicator at the steps of clarification, assessment, conclusion, and strategy. The medium self-concept category was able to fulfill the indicators during the clarification and assessment steps. Meanwhile, the low self-concept category only fulfills the indicators at the clarification step.
Machine learning survival analysis on couple time-to-divorce data Putera, Muhammad Luthfi Setiarno; Setiarno, Setiarno
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.v5i3.13742

Abstract

Marriage life does not always last harmoniously and occasionally can lead to divorce. The trend for the last three years since 2019 shows that divorce cases in Palangka Raya occur with a fluctuating trend that has recently been increasing. This research used a machine learning method called Survival Support Vector Machine on the divorce dataset in Palangka Raya. This research developed a feature selection technique using backward elimination to determine the factors influencing the couple’s decision to have their divorce registered in the religious court. The backward elimination method yielded the variables contributing to divorce: the number of children, the defendant's occupation, the plaintiff's age at marriage, the cause of divorce, and the defendant's education. Based on the comparison of the survival model performance between the Cox proportional hazard and the Survival Support Vector Machine, it was found that the latter was better since it had a higher concordance index and hazard ratio, which were 61.24 and 0.54, respectively. Thus, 61.24% of divorce cases were classified precisely by SUR-SVM in terms of the time sequence of events. Moreover, the hazard ratio of 0.54 indicated that the divorce rate of couples with censored status was 0.54 times than that of couples with failed/endpoint status.
Forecasting Indonesian inflation using a hybrid ARIMA-ANFIS Fitriyati, Nina; Mahmudi, Mahmudi; Wijaya, Madona Yunita; Maysun, Maysun
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.v5i3.14093

Abstract

This paper discusses the prediction of the inflation rate in Indonesia. The data used in this research is assumed to have both linear and non-linear components. The ARIMA model is selected to accommodate the linear component, while the ANFIS method accounts for the non-linear component in the inflation data. Thus, the model is known as the hybrid ARIMA-ANFIS model. The clustering method is performed in the ANFIS model using Fuzzy C-Mean (FMS) with a Gaussian membership function. Consider 2 to 6 clusters. The optimal number of clusters is assessed according to the minimum value of the error prediction. To evaluate the performance of the fitted hybrid ARIMA-ANFIS model, it can be compared to the classical ARIMA model and with the ordinary ANFIS model. The result reveals that the best ARIMA model for inflation prediction in Indonesia is ARIMA(2,1,0). In the hybrid ARIMA(2,1,0)-ANFIS model, two clusters are optimal. Meanwhile, the optimum number of clusters in the ordinary ANFIS model is six. The comparison of prediction accuracy confirms that the hybrid model is superior to the individual model alone of either ARIMA or ANFIS model.
Students’ mathematical representation skills in solving numeracy problems with profession context Septiadi, Dimas Danar; Yuliati, Ikha; Widyastuti, Rany
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.v5i3.14298

Abstract

This research aims to describe students’ mathematical representation skills in solving numeracy problem with profession context. This is qualitative descriptive research with 12 students for its research subjects. There are four steps in analyzing the data, those are data collection, data condensation, data display, and conclusions. To check the validity, researchers used techniques triangulation. This research shows that, among those 12 subjects, there are four types of model in solving numeracy problem with profession context. Those are first, students use visual and external representation; second, they perform visual, verbal, math model, and internal representation; third, they use verbal, visual, and external representation; and fourth of all, they use verbal and external representation. To make this result fruitfull, other researchers can try to design mathematics learning activities to train students’ mathematical representation skill such that when students solve numeracy problems, they will not face any difficulties. 
A random exploration based fast adaptive and selective mean filter for salt and pepper noise removal in satellite digital images Ramadhan, Bima; reza yulianto, Ilyasa pahlevi; Abdurrazzaq, Achmad; Kafilah Al Husein, Fulkan; Charmouti, Bilal
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.v5i3.14424

Abstract

The digital image is one of the discoveries that play an important role in various aspects of modern human life. These findings are useful in various fields, including defense (military and non-military), security, health, education, and others. In practice, the image acquisition process often suffers from problems, both in the process of capturing and transmitting images. Among the problems is the appearance of noise which results in the degradation of information in the image and thus disrupts further processes of image processing. One type of noise that damages digital images is salt and pepper noise which randomly changes the pixel values to 0 (black) or 255 (white). Researchers have proposed several methods to deal with this type of noise, including median filter, adaptive mean filter, switching median filter, modified decision based unsymmetric trimmed median filter, and different applied median filter. However, this method suffers from a decrease in performance when applied to images with high-intensity noise. Therefore, in this research, a new filtering method is proposed that can improve the image by randomly exploring pixels, then collecting the surrounding pixel data from the processed pixels (kernel). The kernel will be enlarged if there are no free-noise pixels in the kernel. Furthermore, the damaged pixels will be replaced using the mean data centering statistic. Images enhanced using the proposed method have better quality than the previous methods, both quantitatively (SSIM and PSNR) and qualitatively.
The optimal portfolio of islamic stocks using the markowitz and black-litterman models Azis, Irfani; Syazali, Muhamad; Manurung, Elise Nathalia
Desimal: Jurnal Matematika Vol. 6 No. 1 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i1.14499

Abstract

The portfolio with the best combination of profit and risk or the investor's choice is called the optimal portfolio. The Black-Litterman and Markowitz models were used to determine the optimal portfolio during the covid-19 pandemic. Sharia stock data, that is consistent with the Jakarta Islamic Index for the 2019-2021 period, is used in this research. The stock combination of the Markowitz model is better than the Black-Litterman model. The expected value of the portfolio obtained is 0.0066, which is greater than the risk-free asset return of 0.0011 on the day of broadcast. The portfolio risk of the Markowitz model is smaller than the Black-Litterman model, which are 0.0010972 and 0.0013917, respectively. so it can be said that the Markowitz model is better than the Black-Litterman model in the formation of a Sharia stock portfolio during the covid-19 pandemic.
Question analysis in indonesians’ new curriculum secondary mathematics textbook Raditya, Aji; Saputra, Nisvu Nanda
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.v5i3.14590

Abstract

This study analyzed questions (examples and exercises) in the Numbers chapter on Indonesians’ new curriculum (Kurikulum Merdeka) mathematics textbooks for grade 7. An analytical framework developed for mathematics textbooks question analysis had seven dimensions: Mathematical Activity, Problem Complexity, Answer Type, Contextual Situation, Response Type, Mathematical Questions, and Data Problem. The result showed that the Indonesians’ new curriculum of secondary mathematics textbooks contains more balanced question types. In Mathematical Activity question types, only 46.73% of questions were about counting and using count operations. The questions about interpretation were 28.97% and questions that needed an argument or logical reasoning were 15.58%. In question type analysis, 22.12% were open-ended questions and 77.88% were close-ended questions. We also found that there were no multiple choice question types in Indonesians’ new curriculum (Kurikulum Merdeka) mathematics textbooks for grade 7. On the other hand, we also found questions with insufficient data (12.15%) and extraneous data (7.48%).
Level of critical thinking ability in solving numeration problems in the minimum competency assessment Lubis, Siti Masyitoh Azzahra; Permatasari, Dian
Desimal: Jurnal Matematika Vol. 6 No. 1 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i1.14611

Abstract

Minimum Competency Assessment (MCA) is a form of evaluation of the education system launched by the government in order to measure the achievement of students' cognitive learning outcomes in literacy and numeracy abilities. MCA numeration is related to critical thinking skills. This study aims to describe the level of students' critical thinking skills in solving the MCA numeration questions. This type of research is descriptive-qualitative research. Data collection techniques in the form of written tests and interviews with test instruments are MCA numeration questions with four questions. The data analysis technique was carried out by giving tests, then interviewing the selected subjects to find out more about critical thinking skills, and then describing the results. The results showed that the level of critical thinking ability of class VIII students in solving MCA numeration questions in the number domain met the same criteria, namely the criteria of focus, reason, and situation. Domain algebra found that students have various levels of critical thinking skills with criteria that meet the criteria of focus and reason. In the geometry domain, it was found that students had a low ability to solve geometric problems, and in the uncertainty data domain, students only reached conclusions without giving reasons.

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