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Model for Coupling Scheme and its Impact on Neurons Behaviour 耦合方案模型及其对神经元行为的影响
Pub Date : 2023-06-08 DOI: 10.34312/euler.v11i1.19964
Afifurrahman Afifurrahman
Collective oscillations is typical phenomena observed in the systems biology including neurons. Investigating the mechanisms for which it occurs in neural networks evokes a significant interest among neuroscientists. From mathematical point of view, the coupling schemes rule the neuron’s behaviours ranging from microscopic to macroscopic scales. This paper aims to study the impacts of coupling schemes in a minimal network of two fully coupled identical oscillators (e.g., neurons). We proceed with the research by employing the numerical approach and time-series analysis. We consider both Kuramoto-like oscillator and Leaky integrate-and-fire neuron as the objects of study. In the former case, we found the phase of two oscillators are perfectly locked and stable if their frequency are identical, as stated by the main theorem. In the latter case, the membrane potentials of two neurons are perfectly synchronized, characterized by the same firing rate, due to the effect of excitatory delta pulses.
集体振荡是包括神经元在内的系统生物学中观察到的典型现象。研究这种现象在神经网络中发生的机制引起了神经科学家的极大兴趣。从数学的角度来看,耦合方案控制着神经元从微观到宏观的行为。本文旨在研究由两个完全耦合的相同振荡器(如神经元)组成的最小网络中耦合方案的影响。本文采用数值方法和时间序列分析方法进行研究。我们将类仓本振荡器和Leaky积分-放电神经元作为研究对象。在前一种情况下,我们发现如果两个振子的频率相同,那么它们的相位是完全锁定和稳定的,正如主要定理所述。在后一种情况下,由于兴奋性δ脉冲的作用,两个神经元的膜电位完全同步,具有相同的放电速率。
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引用次数: 0
Model Discovery Learning Pada Pembelajaran Matematika Sekolah Menengah Pertama: A Bibliometric Review
Pub Date : 2023-06-05 DOI: 10.34312/euler.v11i1.20042
Ilham Muhammad, Dadang Juandi
In the context of learning mathematics, the Discovery Learning method provides an effective approach to developing students' understanding and mathematical skills at the junior high school level. There have been many studies related to Discovery Learning. This study aims to determine the focus of research related to Discovery Learning in mathematics learning, especially at the junior high school level and its novelty. The method used is descriptive bibliometric analysis. A total of 21 data were taken from the Scopus database which had been refined with 4 stages (identification, screening, eligibility, and inclusion). The results showed that the number of publications related to this field reached its highest peak in 2017 and 2019. The publications made in 2017 had a significant influence on research related to Discovery Learning in mathematics learning in junior high schools. The Indonesian University of Education and Sebelas Maret University have a great influence in publications related to this field. The research focus related to Discovery Learning in mathematics learning is divided into two parts, namely, 1) educational computing, problem based learning, problem solving and self regulated learning; 2) geometry, and self-efficacy . New themes and novelty of research related to this context have been discussed in this article.
在学习数学的背景下,发现学习方法为初中阶段学生的数学理解和数学技能的发展提供了有效的途径。有很多关于发现学习的研究。本研究旨在确定发现学习在数学学习特别是初中阶段的研究重点及其新颖性。使用的方法是描述性文献计量分析。共从Scopus数据库中获取21份数据,经过4个阶段(识别、筛选、入选和纳入)的细化。结果显示,该领域相关的论文数量在2017年和2019年达到峰值。2017年发表的论文对初中数学学习中发现学习的相关研究有显著影响。印度尼西亚教育大学和西贝拉斯马雷特大学在该领域的相关出版物中具有很大的影响力。数学学习中发现学习的相关研究重点分为两部分,即:1)教育计算、基于问题的学习、问题解决和自我调节学习;2)几何,和自我效能。本文讨论了与此相关的新主题和研究的新颖性。
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引用次数: 1
Penerapan Model Pembelajaran Treffinger untuk Meningkatkan Kemampuan Pemahaman Konsep Matematis Siswa berdasarkan Self-Efficacy Treffinger学习模式的应用,以提高学生基于自我efficacy的数学概念理解能力
Pub Date : 2023-06-02 DOI: 10.34312/euler.v11i1.19879
Nindi Eliza Putri, A. Fatah
In order to understand the content of mathematics, students must have an understanding of mathematical concepts. This study aims to examine how Treffinger learning can improve students' ability to understand mathematical concepts in terms of self-efficacy. This type of quantitative research is an approach designed for this experimental research. Class VII students of MTsN 1 Pandeglang are the population or object under study. The research design applied to the study was the Pretest-Posttest Nonequivalent Control Group Design. Sampling was determined using purposive sampling technique, class VII B and VII F were selected to serve as the experimental class and control class. Validated questionnaires and tests are useful research tools for collecting data on students' self-efficacy and ability to understand mathematical concepts. The hypothesis test in this study applies the Two-Way ANOVA test. The results of the study revealed that the Treffinger learning model provided an increase in the ability to understand mathematical concepts. What's more, there is a contribution between self-efficacy towards students' understanding of mathematics concepts.
为了理解数学的内容,学生必须理解数学概念。本研究旨在从自我效能感的角度探讨Treffinger学习如何提高学生对数学概念的理解能力。这种类型的定量研究是为这种实验研究设计的一种方法。MTsN 1攀德郎七班学生是被研究的人群或对象。本研究采用前测后测非等效对照组设计。采用目的抽样技术确定抽样,选取7b班和7f班作为实验班和对照班。有效的问卷和测试是收集学生自我效能感和理解数学概念能力数据的有用研究工具。本研究的假设检验采用双向方差分析检验。研究结果表明,Treffinger学习模式提高了理解数学概念的能力。此外,自我效能感对学生对数学概念的理解也有贡献。
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引用次数: 0
Algoritma Dijkstra dan Algoritma Greedy Untuk Optimasi Rute Pengiriman Barang Pada Kantor Pos Gorontalo Dijkstra算法和Greedy算法,以优化Gorontalo邮局的货运路线
Pub Date : 2023-06-01 DOI: 10.34312/euler.v11i1.18244
Novria Fatmawati Lakutu, Sri Lestari Mahmud, M. R. Katili, Nisky Imansyah Yahya
Delivery of goods is one of the services used in the online buying and selling process at the Post Office company. Companies need a performance in the distribution of goods that is more time-consuming and cost-efficient, so it requires determination in selecting the shortest path. Many algorithms have been used to help find the shortest path for distributing goods, including the Dijkstra Algorithm and the Greedy Algorithm. In this study, the application of the two algorithms is to find routes between sub-districts that are the destination of goods delivery, then compare to see which algorithm is more optimal. Based on the calculation results, the Dijkstra Algorithm can provide a more optimal solution with a total mileage obtained of 304.90 Km, while the Greedy Algorithm produces a total distance of 441.60 Km.
送货是邮局公司在线买卖过程中使用的服务之一。公司需要在货物分配方面表现得更加耗时和成本效益高,因此需要在选择最短路径方面有决心。许多算法被用来帮助找到分配货物的最短路径,包括Dijkstra算法和贪心算法。在本研究中,这两种算法的应用是找到作为货物交付目的地的街道之间的路线,然后比较哪种算法更优。根据计算结果,Dijkstra算法可以提供更优的解,总里程为304.90 Km,而贪心算法的总里程为441.60 Km。
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引用次数: 0
Implementasi Long Short Term Memory (LSTM) dan Bidirectional Long Short Term Memory (BiLSTM) Dalam Prediksi Harga Saham Syariah
Pub Date : 2023-05-29 DOI: 10.34312/euler.v11i1.19791
Dian Islamiaty Puteri
The development of the stock market in Indonesia is currently growing quite rapidly. This can be seen based on the number of investors who have increased every year. In 2011, sharia stocks were launched for the first time in Indonesia, and it can be seen that the price of the stock is not always stable or can experience increases or decreases. For investors, a strategy is needed to predict stock prices in order to make the right decisions in investing. In this study, stock prediction was carried out using the Long Short-Term Memory (LSTM) and Bidirectional Long Short-Term Memory (BiLSTM) methods. The data used in this study is historical closing price data for three Sharia stocks, namely PT Aneka Tambang Tbk, PT Unilever Indonesia Tbk, and PT Indofood Sukses Makmur Tbk. In building the best predictive model in this study based on tuning parameters such as epoch, batch, neurons, as well as an optimizer and dropout regulation techniques to prevent overfitting of the model. The test results show that from the three stock data used, the smallest MAPE value is obtained in the BiLSTM model. The MAPE values obtained for each stock data in this study are sequentially 2,59%, 1,77%, and 1,05%. Based on the MAPE value criteria, the prediction model is included in the very accurate criteria.
目前印尼的股票市场发展相当迅速。从每年增加的投资者数量可以看出这一点。2011年,印尼首次推出了伊斯兰教股票,可以看出,股票的价格并不总是稳定的,也可能会出现上涨或下跌。对于投资者来说,为了做出正确的投资决策,需要一种预测股价的策略。本研究采用长短期记忆(LSTM)和双向长短期记忆(BiLSTM)方法进行股票预测。本研究使用的数据是三个伊斯兰教股票的历史收盘价数据,即PT Aneka Tambang Tbk, PT Unilever Indonesia Tbk和PT Indofood Sukses Makmur Tbk。在本研究中,基于调整参数(如epoch, batch, neuron)以及优化器和dropout调节技术来构建最佳预测模型,以防止模型的过拟合。测试结果表明,从所使用的三个股票数据中,BiLSTM模型获得的MAPE值最小。本研究各种群数据的MAPE值依次为2、59%、1、77%、1.05%。基于MAPE值准则的预测模型包含在非常精确的准则中。
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引用次数: 2
Uji Performa Prediksi Gempa Bumi di Jawa Timur dengan Artificial Neural Network
Pub Date : 2023-05-29 DOI: 10.34312/euler.v11i1.19291
J. Matematika, Sains dan, Teknologi, Muhammad Aji Permana, M. Faisal, Jurusan Magister Informatika
East Java Province is an area directly adjacent to the Eurasian and Indo-Australian plate subduction zones, this has resulted in East Java province being an area prone to earthquakes. Predictions regarding the frequency of earthquake occurrences are very interesting to study. This needs to be done in order to increase our preparedness in an effort to reduce the risk of earthquakes. Research on earthquake prediction has been carried out, one of which is the artificial neural network method. The purpose of this study is to obtain the best network architecture that is applied to the data on the frequency of earthquake occurrences per month in East Java Province. Data on earthquake occurrences come from the BMKG Nganjuk Geophysics Station, which was recorded during the 2016-2021 period. The data was then grouped into the total frequency of events per month. The criteria for selecting the best network architecture are carried out by comparing each possible architecture's error values. The test method uses SSE (sum square error) criteria for each architectural model of the artificial neural network. The test results show that the input variation has a significant contribution and a greater correlation than the variation in the number of hidden neurons. The best prediction results are obtained in the model with 9-30-1 architecture with an error value of 0.1958.
东爪哇省直接毗邻欧亚板块和印澳板块俯冲带,这导致东爪哇省是一个地震多发地区。关于地震发生频率的预测研究起来非常有趣。这样做是为了加强我们的准备工作,努力减少地震的风险。地震预报的研究已经展开,人工神经网络方法就是其中之一。本研究的目的是获得应用于东爪哇省每月地震发生频率数据的最佳网络架构。地震发生的数据来自BMKG Nganjuk地球物理站,记录于2016-2021年期间。然后将数据分组到每月事件的总频率中。选择最佳网络体系结构的标准是通过比较每种可能体系结构的误差值来实现的。该测试方法对人工神经网络的每个架构模型使用SSE(和平方误差)标准。测试结果表明,输入量的变化比隐藏神经元数量的变化有显著的贡献和更大的相关性。采用“9-30-1”结构的模型预测效果最好,误差值为0.1958。
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引用次数: 0
Implementasi Struktur Aljabar Besar Pada Reaksi Kimia: Reduksi – Oksidasi 化学反应的大代数结构:还原——氧化
Pub Date : 2023-05-29 DOI: 10.34312/euler.v11i1.19021
Fakhry Asad Agusfrianto, Yudi Mahatma
Algebraic Hyperstructures is a generalization of the concept of algebraic structure. One of the concepts on algebraic hyperstructures is hypergroups. The concept of hypergroups can be generalized into hypergroupoids, hypersemigroups and -groups.  Hypergroups and their generalization have applications in science fields such as chemistry, biology, and physics. The focus of discussion in this paper is the application of hypergroups and their generalization in the field of chemistry. In basic chemistry, we know chemical reactions called reduction and oxidation (redox) reactions. The purpose of this paper is to analyze the algebraic hyperstructures contained in redox reactions.
代数超结构是代数结构概念的推广。代数超结构中的一个概念是超群。超群的概念可以推广为超类群、超群和-群。超群及其泛化在化学、生物学和物理学等科学领域都有应用。本文重点讨论了超群在化学领域的应用及其推广。在基础化学中,我们知道称为还原和氧化(氧化还原)反应的化学反应。本文的目的是分析氧化还原反应中包含的代数超结构。
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引用次数: 0
Model Problem Based Learning: Efektivitasnya Dalam Meningkatkan Hasil Belajar Sistem Persamaan Linear Dua Variabel 基于学习的问题模型:它在提高两个变量线性方程系统结果方面的有效性
Pub Date : 2023-05-29 DOI: 10.34312/euler.v11i1.18387
Hendro Budi Santoso, Lailany Yahya, Dewi rahmawaty Isa
This research is classroom action research. This study aims to improve student learning outcomes in the material system of two-variable linear equations. This research was conducted in class VIII SMP Negeri 3 Satap Tabongo, with 17 students as research subjects. Data collection is done by using observation and tests. Data analysis was carried out by looking at the average results of students who passed and the results of observations that reached the minimum good criteria. This research lasted for two cycles with results in the form of observations of teacher activities that increased from 73% to 88.5% in the good and very good categories. Furthermore, the results of student activities increased from 61.25 to 92% in the good and very good categories. As well as learning outcomes also increased from 58.82% to 88.2%. By looking at these results, it can be concluded that the Problem-Based Learning model can improve student learning outcomes in the matter of a two-variable linear equation system in class VIII SMP Negeri 3 Satap Tabongo.
本研究是课堂行动研究。本研究旨在提高学生在二元线性方程材料系统中的学习效果。本研究在SMP Negeri 3 Satap Tabongo八班进行,以17名学生为研究对象。数据收集是通过观察和测试来完成的。数据分析是通过观察及格学生的平均成绩和达到最低良好标准的观察结果来进行的。这项研究持续了两个周期,结果是对教师活动的观察,在“好”和“非常好”类别中,从73%增加到88.5%。此外,学生活动的成绩从61.25提高到92%的好和非常好类别。学习成果也从58.82%提高到88.2%。通过观察这些结果,可以得出结论,基于问题的学习模式可以提高学生在八年级SMP Negeri 3 Satap Tabongo的双变量线性方程组中的学习效果。
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引用次数: 0
Pemodelan Numerik Tsunami untuk Mengestimasi Waktu Tiba dan Ketinggian Maksimum Gelombang Tsunami di Teluk Amurang
Pub Date : 2023-05-29 DOI: 10.34312/euler.v11i1.19463
A. Fatimah, Rigolda Djamaluddin, Suria Darwisito, Jane M. Mamuaja, A. S. Wantasen, J. Schaduw
Amurang Bay is a coastal area of South Minahasa Regency which is densely populated but faces the subduction zone of North Sulawesi which has the potential to generate earthquakes that trigger a tsunami. The process of the tsunami disaster occurred quickly, but the impact was very destructive and caused many casualties. This study aims to determine the propagation of tsunami waves with the worst scenario Mw 8.5 in Amurang Bay. Numerical methods in COMCOT software are used to model the propagation of tsunami waves in order to obtain an estimate of arrival time and maximum height of tsunami waves. Based on this modeling, the estimated arrival time of tsunami waves at the virtual tide gauge point in Amurang Bay is in the range of 8–11 minutes. The maximum height of tsunami waves is included in the alert category, which is 9.55 meters to 11.44 meters. The fastest estimated arrival time was recorded in Amurang Barat District and maximum height of tsunami waves was found in Tumpaan District. The results of this modeling can be used as one of the steps for mitigating tsunami disaster by preparing the surrounding community and assisting the evacuation process when a tsunami disaster occurs.
阿穆朗湾是南米纳哈沙县的一个沿海地区,人口稠密,但面对北苏拉威西岛的俯冲带,这有可能产生引发海啸的地震。海啸灾害发生过程迅速,但影响极具破坏性,造成大量人员伤亡。本研究的目的是确定最坏情景下的海啸波在阿木郎湾的传播。利用COMCOT软件中的数值方法对海啸波的传播过程进行模拟,得到海啸波到达时间和最大高度的估计。基于此模型,估计海啸波到达阿慕郎湾虚拟测潮点的时间在8-11分钟之间。海啸波的最大高度为9.55米至11.44米,属于警报级别。估计到达时间最快的是阿穆朗巴拉特县,最大海啸波高是Tumpaan县。建模的结果可以作为减轻海啸灾害的步骤之一,帮助周围社区做好准备,并在海啸灾害发生时协助疏散过程。
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引用次数: 0
Algoritma Genetika Untuk Penjadwalan Karyawan Ira Stationary 配置Ira Stationary员工的基因算法
Pub Date : 2023-05-29 DOI: 10.34312/euler.v11i1.17364
Kurniasari Abram, N. Achmad, Muhammad Rezky Friesta Payu, Nurwan Nurwan, D. Wungguli, Asriadi Asriadi
Employee scheduling is an activity plan for time sharing that contains a schedule for carrying out planned activities in the form of a table. This study aims to create an employee schedule model using a Genetic Algorithm, which is a heuristic method inspired by the process of natural selection, the strong will survive and reproduce, the stages of the Genetic Algorithm are population initialization, fitness value, selection, crossover, and mutation. The study results show an optimal model consisting of at most two shifts with a maximum of two holidays a week and not consecutively.
员工日程安排是用于时间共享的活动计划,它以表的形式包含执行计划活动的时间表。本研究旨在利用遗传算法建立员工调度模型,遗传算法是一种启发于自然选择过程的启发式方法,强者生存和繁殖,遗传算法的阶段为群体初始化、适应度值、选择、交叉和突变。研究结果表明,最优模型是每周最多两个班次,最多两个假期,并且不连续。
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引用次数: 0
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Jurnal Teknosains Jurnal Ilmiah Sains dan Teknologi
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