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If a crystal undergoes mechanical stress, then an electrical potential is developed across its sides; this phenomenon is called piezoelectricity, or the piezoelectric effect. Piezoelectric materials include quartz, zinc oxide (ZnO), lead zirconate titanate (PZT4), and Rochelle salt. There are numerous uses for piezoelectricity in signal and electrical transducers. In this work, transitional and creep stresses are evaluated in a thin disc made up of piezoelectric transversely isotropic solids subjected to rotation. The mathematical expressions of stress components are computed for the rotating disc by using Seth’s transition theory considering the rotation effect in circular disc. The electric displacement relations and various stress components are computed using Hooke’s Law. A non-homogeneous differential equation is obtained by using mathematical relations and the equilibrium equation. The theoretical solution of the differential equation is obtained under specified boundary conditions. Creep stresses are studied for the considered material. The obtained results are shown graphically, analyzed numerically, and concluded with a discussion of the results for transversely isotropic piezoelectric materials such as BaTiO3 and PZT-4, among others. On the basis of all the numerical discussions and graphs, it is concluded that discs composed of transversely isotropic piezoelectric (PZT4 and BaTiO3) materials are more stable than discs composed of transversely isotropic (magnesium and beryl).

In this paper we consider a generalized polynomial f: ℝ → ℝ of degree two that satisfies the additional equation f(x)f(y) = 0 for the pairs (x, y) ∈ D, where D ⊆ ℝ2 is given by some algebraic condition. In the particular cases when there exists a positive rational m fulfilling D={(x,y)∈ℝ2|x2-my2=1},D = \left\{ {\left( {x,y} \right) \in \mathbb{R}{^2}|{x^2} - m{y^2} = 1} \right\}, we prove that f(x) = 0 for all x ∈ ℝ.

We present Hermite–Hadamard–Fejér type inequalities for strongly MφMψ -convex functions. Some refinements of them and bounds for the integral mean of the product of two functions are also obtained.

We prove a theorem which unifies some formulas, for example the counting function, of some sets of numbers including all positive integers, h-free numbers, h-full numbers, etc. We also establish a conjecture and give some examples where the conjecture holds.

In this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled Narayana’s sequence. We give a binomial direct formula for these sequences using graph methods, and also we derive a number of identities. Moreover, we study matrix generators of these sequences and determine connections with the Pascal’s triangle.

Let S be a semigroup. Our main results are that we describe the complex-valued solutions of the following functional equations g(xσ(y))=g(x)g(y)+f(x)f(y),x,y∈S,f(xσ(y))=f(x)g(y)+f(y)g(x),x,y∈S,\matrix{ {g\left( {x\sigma \left( y \right)} \right) = g\left( x \right)g\left( y \right) + f\left( x \right)f\left( y \right),} & {x,y \in S,} \cr {f\left( {x\sigma \left( y \right)} \right) = f\left( x \right)g\left( y \right) + f\left( y \right)g\left( x \right),} & {x,y \in S,} \cr } and f(xσ(y))=f(x)g(y)-f(y)g(x),x,y∈S,\matrix{ {f\left( {x\sigma \left( y \right)} \right) = f\left( x \right)g\left( y \right) - f\left( y \right)g\left( x \right),} & {x,y \in S,} \cr } where σ : S → S is an automorphism that need not be involutive. As a consequence we show that the first two equations are equivalent to their variants. We also give some applications.

A new bidimensional version of cobalancing numbers and Lucas-balancing numbers are introduced. Some properties and identities satisfied by these new bidimensional sequences are studied.

Let un = un(k) denote the generalized Leonardo number defined recursively by un = un−1 + un−2 + k for n ≥ 2, where u0 = u1 = 1. Terms of the sequence un(1) are referred to simply as Leonardo numbers. In this paper, we find expressions for the determinants of several Toeplitz–Hessenberg matrices having generalized Leonardo number entries. These results are obtained as special cases of more general formulas for the generating function of the corresponding sequence of determinants. Special attention is paid to the cases 1 ≤ k ≤ 7, where several connections are made to entries in the On-Line Encyclopedia of Integer Sequences. By Trudi’s formula, one obtains equivalent multi-sum identities involving sums of products of generalized Leonardo numbers. Finally, in the case k = 1, we also provide combinatorial proofs of the determinant formulas, where we make extensive use of sign-changing involutions on the related structures.

In this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one. As the hyper-order is a crucial parameter that characterizes the growth of entire functions, it will be interesting to investigate this unexplored domain, as far as practible, with certain restriction on hyper order. Our results are the improvements of previous results reported in recent papers [12], [13]. We have provided a series of examples to demonstrate and validate the effectiveness of our proposed solutions.

In this paper, we define and study a new one-parameter generalization of the Pell hybrid numbers. Based on the definition of r-Pell numbers, we define the r-Pell hybrid numbers. We give their properties: character, Binet formula, summation formula, and generating function. Moreover, we present Catalan, Cassini, d’Ocagne, and Vajda type identities for the r-Pell hybrid numbers.

In this paper, we introduce the notions of radical filters and extended filters of Intuitionistic Linear algebras (IL-algebras for short) and give some of their properties. The notion of closure operation on an IL-algebra is also introduced as well as the study of some of their main properties. The radical of filters and extended filters are examples of closure operations among several others provided. The class of stable closure operations on an IL-algebra L is used to study the unifying properties of some subclasses of the lattice of filters of L. In particular, we obtain that for a stable closure operation c on an IL-algebra, the collection of c-closed elements of its lattice of filters forms a complete Heyting algebra. Hyperarchimedean IL-algebras are also characterized using closure operations. It is shown that the image of a semi-prime closure operation on an IL-algebra is isomorphic to a quotient IL-algebra. Some properties of the quotients induced by closure operations on an IL-algebra are explored.

The paper below is a written version of the 17th Andrzej Lasota Lecture presented on January 12th, 2024 in Katowice. During the lecture we tried to show the impact of Andrzej Lasota’s results on the author’s research concerning various fields of mathematics, including chaos and ergodicity of dynamical systems, Markov operators and semigroups and partial differential equations.

In this paper, we introduce the subset-strong product of graphs and give a method for calculating the adjacency spectrum of this product. In addition, exact expressions for the first and second Zagreb indices of the subset-strong products of two graphs are reported. Examples are provided to illustrate the applications of this product in some growing graphs and complex networks.

The purpose of this study is to characterize and understand the mathematical problem-solving skills of fifth-grade students at SDN 1 Tanjung Sari, particularly with regard to narrative problems with flat forms. This study employs a qualitative descriptive methodology that focuses on close observation and in-depth examination of the research participants, who are SDN 1 Tanjung Sari fifth-grade pupils. Two primary methods were used in this study to gather data: assessments of students' mathematical problem-solving skills and interviews. The Miles and Huberman Model, which has three primary stages data reduction, data presentation, and conclusion drawing was used to conduct the data analysis. The technique of eliminating extraneous or useless data is known as data reduction. Data presentation is the process of arranging and displaying information in a way that is simple to understand. Drawing conclusions from study results entails analyzing data and drawing judgments. The study's findings indicate that pupils' average proficiency in solving mathematical problems involving flat shapes is 75.78, falling within the middle range. This indicates that although there is still need for development, pupils' grasp of the notion of flat forms is adequate. The study indicated that, when considering learning interest, students' average mathematical problem-solving skill was 87.22 for high learning interest students, 74.85 for moderate learning interest students, and 57.80 for low learning interest students. This demonstrates that students' aptitude for solving mathematical puzzles is greatly influenced by their learning interests. Overall, this study offers significant new information on how learning interests might influence students' ability to solve mathematical problems. Future instructional materials for more efficient learning can be developed using these findings as a foundation

This research aims to describe the mistakes made by students when solving questions according to the Polya procedure. The type of research used is descriptive qualitative. The method used for data collection consisted of written tests and interviews. A written test was given to 18 students from class VIIC, which consisted of 4 descriptive questions; after that, from the results of the written test, three students were selected to be interview subjects. The interview process was selected based on ability, from those with high, medium and low ability. In this research, the stage used to analyze data is identifying error data according to the Polya procedure. This research shows the mistakes made by class VIIC students of SMP Negeri 11 Manado in solving story questions on Social Arithmetic material. Based on the Polya procedure in solving math story problems on social arithmetic material, it can be seen that the percentage of errors made by students most often occurs, namely errors in rechecking 40%, errors in completing planning 33.84%, planning solutions 30.76%, understanding the problem 26.15 %. Students do not write down what they know and are asked according to the question given, make mistakes in determining the mathematical model used and, do not write down the formula in solving the problem, make mistakes in determining the steps to solve the problem so that they experience errors incorrect calculations and the mistakes that are most often made students do not write down the final answer or are wrong in determining the final answer

Mathematical reasoning ability is an important ability that students must master, but this ability is still relatively low. The aim of this research is to determine the effectiveness of the metacognitive approach on students' mathematical reasoning abilities. The method used in this research is Systematic Literature Review (SLR). This research used 19 articles from 2018 to 2023 sourced from national and international journals, namely 16 articles with a Sinta index, 2 articles from Google Scholar, and 1 international proceedings journal. The results of the SLR research show that the implementation of the metacognitive approach has an effective impact on students' mathematical reasoning abilities. The metacognitive approach can train students to develop mathematical reasoning abilities

Mathematical literacy is a very important ability that students must have because mathematical literacy supports students' mathematical abilities in many contexts that will be used in everyday life. This research aims to analyze the effectiveness of REACT learning with a realistik mathematics approach (PMR) on students' mathematical literacy. The method used in this research is quasi-experimental research with a pretest-posttest design. The sample used was students of Class IXA and IXB Mts Miftakhul Khoirot Branjang, Ungaran, Semarang Regency. The data used is the results of the mathematics literacy test before learning (pretest) and the results of the mathematics literacy test after learning (posttest). The data that has been collected is analyzed using statistical analysis in the form of a t-test, z-test, paired sample t-test, and N-gain test. The results of this research showed that the average value of students' mathematical literacy in the REACT learning model with PMR achieved minimum completeness, the proportion of students who achieved the average value in the REACT learning model with PMR was more than 75%, the average value of mathematical literacy in classes using the model REACT learning with PMR is higher than the average value of the class using the direct learning model, the increase in the average value of mathematics literacy for the class using the REACT learning model with PMR is higher than the increase in the average value of the class using the direct learning model. These results can be concluded that the REACT learning model with PMR is effective for students' mathematical literacy

The aim of this research is to develop a mathematical test instrument based on Higher Order Thingking Skills for high school students. The research methods used in this research are research and development methods or Research and Development. (R&D). The data-gathering instruments for this search are teacher lift, student perception lift, observation sheet, interview guide, and the definition test of Higher Order Thinking Skills. (HOTS). The study was tested on 25 students of the eighth grade of high school, the test was carried out on the material of linear equations and linear inequalities of one variable. The results of the research show that: 1) the test instrument Higher Order Thinking Skills developed is valid and reliable, 2) has an average difficulty level for each type of question, and 3) the test instruments Higher order thinking skills (HOTS) developed fall into the category both in different power tests. So, the tool developed by the researchers deserves to be used as an assessment to measure the Higher Order Thinking Skills (HOTS) test for high school students

This research aims to analyze worked examples in mathematics learning and mathematical problem solving abilities with worked examples from the 2019-2024 period. This research uses Systematic Literature Review (SLR) sourced from Google Scholar. 21 articles were collected, 15 articles related to worked examples in mathematics learning and 6 articles related to mathematical problem solving abilities using worked examples. The results obtained by using worked examples in mathematics learning can minimize students' cognitive load, help teachers teach new material concepts and deepen students' understanding of the concepts they have learned, then they can improve mathematical abilities, then worked examples are used to develop learning modules and LKPD or worksheets. Using worked examples improves mathematical problem solving abilities. Apart from that, the ability to solve problems using worked examples can be combined with other learning such as combining it with tracing gestures, differentiation and integrated worked examples

This study was conducted with the primary aim of evaluating and deeply understanding students' abilities in solving mathematical problems, specifically focusing on Linear Equations and Inequalities with One Variable (SPLSV). A qualitative approach was chosen because it allows researchers to delve deeper into students' thought processes and how they approach given mathematical problems. Descriptive analysis was used to interpret data systematically and in detail, enabling researchers to identify specific patterns in test data and interviews. Adab Kesuma Bangsa Junior High School in Natar, South Lampung, was selected as the research site because it was considered representative of the student population being studied. A total of 32 students participated in this study, selected through Purposive Sampling method. The research instruments used included written tests and in-depth interviews. The main indicators focused on in this research were: (1) understanding of the problem, which measured how well students could identify and comprehend key elements of mathematical problems; (2) solution planning, which assessed students' ability to formulate effective strategies or steps to solve problems; (3) solution implementation, which observed to what extent students could apply their plans in practice and achieve correct solutions; and (4) re-evaluation, which evaluated students' ability to reflect on their processes and outcomes, identifying errors or areas for improvement. The research findings indicated that only a small proportion of students (21.5%) demonstrated high problem-solving abilities. Approximately 11.5% were at a moderate level, while the majority of students (67%) exhibited low problem-solving abilities. These findings provide valuable insights for educators and policymakers regarding the need for more effective educational interventions to enhance students' mathematical problem-solving abilities

The primary tool for assessing the extent of human development progress in a country is the Human Development Index (HDI). There are three components of Indonesia's Human Development Index (HDI). The method used to characterize the quality of human existence is based on these foundational aspects of HDI. The three elements include the role of economic advancement in human progress, as well as health, knowledge, and a decent standard of living. The objective of this research is to conduct binary logistic regression modeling to identify the key aspects that influence the Human Development Index of Regencies and Cities in Indonesia. If the response variable is binary and the predictor factors consist of one or more continuous or categorical variables, binary logistic regression is the statistical technique used to model the categorical response variable. The research results indicate that the percentage of Life Expectancy (X1), Average Length of Schooling (X2), Expected Years of Schooling (X3), and Per Capita Expenditure (X4), both partially and simultaneously, are independent variables that have the most significant impact on HDI at a real level of α = 5%. A balanced accuracy rating of 91.83% was achieved from the model evaluation, indicating that the model is useful

Efficiency in the use of electricity is a necessity for the sustainability of a better life. Almost all human activities utilize electrical energy, such as household appliances, industry, and even vehicles. This research contains the efficiency of electricity use in a housing by applying graph theory in optimizing the electricity distribution network system. The purpose of this study is to optimize the electricity distribution network system in the residential area of Kota Mas Cimahi, so that the best network model is obtained. Network data and information were obtained from PT. PLN UP3 Cimahi, West Java. The method used is to determine the minimum spanning tree in the electricity distribution network model by applying the Floyd-Wish algorithm. The initial model of the power grid was constructed by data on the position of substations and power poles, the number of power poles, and the length of the power cables connecting the poles. The data used is data on a line from several electricity distribution lines in this housing. The result of the minimum cable length on this line is 349 meters. The results of this study are expected to provide alternative solutions and additional information in planning and structuring the power grid optimally. Furthermore, the results of this research can also be used by PLN in order to support the government's program towards the efficiency of using electrical energy to serve the community because they get electricity services faster and cheaper

The purpose of this research is to describe the numeracy literacy abilities of class XI TITL 2 students at SMKN 7 Semarang in solving circle equation problems based on initial abilities. The type of research used is qualitative research with descriptive methods. Subject selection is based on students' initial abilities based on the results of diagnostic test scores to categorize students' initial abilities into categories of students who have high initial abilities with a score criteria of 75 < score ≤ 100 , medium initial abilities with a score criteria of 35< score ≤ 75 and low initial abilities with a score criteria of 0 < score ≤ 35.Then 6 subjects were selected, each consisting of 2 student with high, medium and low initial ability. The instruments used in this research were numeracy literacy skills tests and interviews. The numeracy literacy ability test is presented in the test questions in the form of 2 numbered story questions and will be analyzed to reveal three indicators of numeracy literacy. The data collection analysis techniques used in this research are, 1) data reduction, 2) data presentation, and 3) drawing conclusions. The results of the research show that: 1) students with high initial abilities are able to reveal all three indicators of numeracy literacy ability, 2) students with medium initial abilities are quite capable of fulfilling the first and second indicators of numeracy literacy ability, but are less able to fulfill the third indicator of numeracy literacy ability , 3) students with low initial abilities in solving circular equation problems are quite capable of meeting the first indicator of numeracy literacy ability, but are less able to fulfill the second and third indicators

The purpose of this research to produce Creative Problem Solving (CPS)-based LKPD that meet the criteria of validity, practicality and effectiveness to improve critical thinking skills in quadrilateral and triangle material. The research type is Research and Development (R&D) ADDIE model which Analysis, Design, Development, Implementation and Evaluation. Data collection techniques use observation, interviews, questionnaires and tests. The product test subjects were class VIII students at SMP Negeri 1 Patianrowo and SMP Negeri 2 Patianrowo. The results of the research according to expert assessment show that the teaching materials developed have valid criteria. This means that the teaching materials developed are suitable for use by students. The assessment based on the results of teacher and student response tests shows that the teaching materials developed meet the criteria of being very practical. This means that the teaching materials developed can be implemented in the mathematics learning process, especially in quadrilaterals and triangles. The posttest results show that there is a significant difference in critical thinking abilities between the control class and the experimental class. This means that the teaching materials developed have an effect on increasing students' critical thinking skills with the percentage of increase being at a very high effect, namely 80.2%. Based on this assessment, it can be concluded that the teaching materials developed have met the criteria for validity, practicality and effectiveness in improving critical thinking skills of student in quadrilateral and triangular material

Indonesia, an archipelagic country, boasts significant potential in the fisheries sector, notably in the export of fishery products. Batam as a free trade zone plays a major role in Indonesia's fishery product exports. According to the Central Statistics Agency's data, there has been a 2.47% decline in fish and shrimp exports in January and February 2023 compared to January 2022. Therefore, further analysis is needed on projected exports of fishery products in Batam. This study focuses on the utilization of the Markov chain model to analyze the export dynamics of Batam City's primary fishery product commodities, including Seaweed, Fish, Shrimp, Crab, and Shellfish. Monthly export data for Batam City's fishery products throughout 2021-2023 sourced from The Ministry of Marine Affairs and Fisheries. Based on these data, the transition probability matrix will be calculated based on the number of export transitions below and above the Moving Average (MA 12) value. The Markov chain model for this case is an erdogic Markov chain model, in order that the limiting probability of the Markov chain model can be determined. The result shows that exports of fish, shrimp and crab in the long term will exceed the average export size in the past year each after 7 months, 11 months, and 14 months later respectively, while exports of seaweed and shellfish in the long term will be below the large average exports in the past year after 15 and 5 months. This research result offer valuable insights for the government to formulate strategies and policies concerning fishery product exports

Life expectancy is a measure used to evaluate the government's effectiveness in enhancing the overall well-being and health of the population. The life expectancy of a town is impacted by the educational attainment of its residents. LASSO regression is a variant of linear regression that incorporates an extra penalty term into the cost function. adjustable LASSO Regression is a modified version of this technique that incorporates adjustable weighting variables for each coefficient, enhancing its effectiveness.Multicollinearity, a condition of strong correlation between predictor variables, can complicate the identification of independent variables that have a significant impact. The LASSO and Adaptive LASSO are variable selection strategies used in multiple linear regression situations. The LASSO and Adaptive LASSO techniques are effective for identifying important variables and establishing the link between independent and dependent variables

Mathematics, as an important foundation in education, contributes to the advancement of science and technology and teaches students logical, analytical, and creative thinking. This is in accordance with the Merdeka Curriculum which emphasizes the development of 21st century skills and character development, including critical thinking and self-regulated learning. However, the low mathematical critical thinking skills and self-regulated learning in Indonesia is still a challenge. One of the factors that influence this is the use of inappropriate learning models. The Discovery Learning learning model supported by technology such as GeoGebra is a potential solution to improve both capabilities. The purpose of this study was to determine the increase in mathematical critical thinking skills and determine the increase in self-regulated learning of students who obtained the GeoGebra-assisted Discovery Learning model compared to students who obtained conventional learning models. This research method is a quasi-experiment with the nonequivalent pre-test post-test control group design. Sampling is done by purposive sampling technique. This research was carried out in one of the Junior High Schools in Serang City in the 2023/2024 school year, involving two classes of grade VII students as an experimental and control group. The instruments in this study consisted of tests of mathematical critical thinking skills and learning independence scales. The results showed that the improvement of mathematical critical thinking skills and increased self-regulated learning of students who applied the GeoGebra-assisted Discovery Learning model were better than students who applied conventional learning models

A classification model is needed to predict data into the right class according to the pattern of previous data. Binary Logistic Regression can be used in building classification models, even though the independent variables are categorical scale data. Through binary logistic regression, it can also be seen which category of independent variables influences the response variable. Public complaint reports at the Ombudsman of the Republic of Indonesia are classified into reports that found maladministration and not. The Binary Logistic Regression model with several categorical independent variables related to the public complaint reports data applied resulted in a classification model with an overall classification accuracy of 66.08% and a sensitivity of 75.31% in estimating the presence of maladministration findings in the submitted public complaint reports. Based on the 95% confidence level of the model, it is known that the factors that influence the occurrence of maladministration are the Group of Reportees, the Substance of the Report, the Method of Submission, the Request for Confidentiality, and the Location of the Inspection Office. This model can be used as a reference to reduce the incidence of maladministration cases in public service providers by focusing socialization and education on categories that have a real influence on each of these factors

Communication skills and mathematical reasoning are one of the goals of mathematics learning. Where communication is defined as the ability to write, read, listen, study, interpret, and evaluate ideas, symbols, terms, and mathematical information. Meanwhile, mathematical reasoning is a brain habit that if developed properly and consistently will make it easier to communicate mathematics both in writing and orally. Therefore, a relevant learning model is needed to optimize, improve, and develop students' communication and mathematical reasoning skills. One of these learning models is the Teams Games Tournament (TGT) type cooperative learning model. The purpose of this study is to find out: (1) Whether the improvement of communication and mathematical reasoning skills of students who obtain learning with the TGT type cooperative learning model is better than that of students who obtain learning with conventional approaches, and (2) What are the attitudes of students towards mathematics learning who acquire learning with the TGT type cooperative learning model. This study is an experimental research with a pretest-posttest control research design of the design group. The population in this study is all students of class XI MAN Darussalam Aceh Besar consisting of five classes. Meanwhile, the sample consisted of two classes, namely the experimental class and the control class which were taken by random sampling. The instruments used to obtain research data are in the form of communication and mathematical reasoning ability tests, and attitude scale questionnaires. The statistical test used to analyze data on improving communication skills and mathematical reasoning is a two-track anava test, while the attitude scale questionnaire is calculated based on percentages. The results of the study show that the overall improvement of communication and mathematical reasoning skills of students who obtain learning with the Teams Games Tournament type cooperative learning model is better than students who acquire learning with conventional approaches. From the results of the student questionnaire, it was concluded that in general, students have a positive attitude towards mathematics learning using the TGT type cooperative learning model

The tanh method is known as an effective method for solving partial differential equations and obtaining traveling wave solutions. While well-used in continuous systems, its application to discrete systems (nonlinear difference-differential equations, DDEs) is still less explored. This paper revisits the tanh method for discrete systems, providing a simple justification for the method to produce discrete solitary wave solutions, including pulse-type and (anti)kink-type. By transforming DDEs into nonlinear ordinary differential equations (ODEs) and using polynomial forms in terms of the tanh function, we outline steps for deriving and verifying exact solutions

User comments on the Play Store are crucial sources for developers to understand user feedback on their applications. In this research, we introduce the application of Extract, Transform, Load (ETL) Technique to analyze user comments on the Flip.id application on the Play Store using the Pentaho application. The ETL method is utilized to extract comment data, transform it into a suitable format, and load it into a data warehouse for further analysis. This process involves systematic and structured data processing steps. We identify common patterns in user comments to gain valuable insights for application developers in enhancing the quality and user experience of their applications. The research findings indicate that the application of ETL Technique using the Pentaho application can be an effective approach for analyzing user comments on the Play Store platform, as well as providing valuable insights for application developers for data-driven decision-making. This research can serve as a foundation for further research in sentiment analysis and user-driven product improvement

This research leads to the development of interactive learning media with the Smart Apps Creator 3 application on the subject of class VIII circles. This media was developed using the ADDIE (Analysis, Design, Development, Implementation and Evaluation) development model. The subjects of this research were class VIII students at MTs Al-Mubarak Marisa with a total of 23 students. The average score for all aspects from media experts is 3.72 and the average score for all aspects from material experts is 3.6, so it meets the validity criteria. This interactive learning media has also been tested by class VIII teachers and students at MTs Al-Mubarak Marisa and received teacher responses with an average score for all aspects of 87.5% and student responses with an average score for all aspects of 89. 92% with very positive criteria, so this media is effectively used in mathematics learning

Mental health is a condition where individuals have good emotional, psychological, and social well-being, influencing how they think, feel, and act. This study analyzes the mental health of students aged between 18 and 24 years using a nonparametric statistical approach. Data were collected from a survey of 65 students regarding gender, field of study, and year of study, with a focus on mental disorders such as depression, anxiety, and panic attacks. Descriptive analysis methods and the Chi-Square test with α = 5% showed no significant relationship between gender and mental health disorders. However, a significant relationship was found between field of study and anxiety, while no significant relationship was found between field of study and depression or panic attacks. Additionally, there was no significant relationship between the year of study and any of the mental health disorders examined. These findings provide insights for higher education institutions to design effective policies and interventions to support students' mental health

The scheduling problem is a common challenge when it comes to executing tasks, making the resolution of this issue crucial for decision-making in production activities. The problem addressed in this research is the company's desire to conduct production without waiting times between stages to maintain the quality of pharmaceutical raw materials. Additionally, the production results must meet predefined due dates. The production system formed is a Hybrid Flow Shop system, which is an extension of the Flow Shop concept where one or all stages have identical parallel machines. The objective of this study is to minimize the time between job start and job completion, defined in scheduling problems as the minimization of mean Flow time. The research collected data from 5 products in the company to model according to the research objectives. Process times for each stage and due dates for each product have been predetermined. After modeling and processing using the LINGO application, the optimal result obtained is backward scheduling with an average flow time of 12.6. This demonstrates that the model in this research effectively addresses the Hybrid Flow Shop problem using backward scheduling to minimize mean flow time

This research aimed to compare the performance of the Double Exponential Smoothing and Holt-Winter methods in forecasting the Farmer Exchange Rate (NTP) for the Horticulture Farmer Subsector in Aceh Province. Secondary data on the NTP for the Aceh Horticulture Subsector from 2020-2023 was obtained from the Aceh Provincial Central Statistics Agency (BPS) website. The data processing was carried out using the R software. The results showed that the Double Exponential Smoothing method had a Root Mean Squared Error (RMSE) of 3.413201, a Mean Absolute Percentage Error (MAPE) of 2.85835, and a Mean Percentage Error (MPE) of -0.5980113. Meanwhile, the Holt-Winter's Additive method had an RMSE of 4.055652, a MAPE of 3.055992, and an MPE of 0.2534276. The best forecasting method was selected based on the smallest RMSE, MAPE, and MPE values, which was Double Exponential Smoothing. The 12-month forecast using the Double Exponential Smoothing method indicated that the lowest NTP would occur in January 2024 at 106.7195, while the highest NTP would be in December 2024 at 113.6443

With the rapid advancement of technology, online transportation has become the main solution for many people in Indonesia to travel easily and efficiently. Companies such as GOJEK are constantly innovating to improve their services, resulting in many responses and reviews from users. This research aims to analyze customer satisfaction with these online transportation services by analyzing the sentiment of user opinions on the Twitter platform. Sentiment analysis plays a very important role in decision making by classifying user reviews. Data was retrieved through a crawling process using specific keywords related to each service. The data preprocessing process includes case folding, tokenizing, normalization, stemming, filtering, and convert negation. This aims to clean and prepare the data so that it can be processed using the algorithm better. This process includes removing irrelevant elements from the text data, converting the text into a consistent or more standardized form, reducing the number of features in the data by stemming, and converting the text into numbers or vectors so that it can be processed by the algorithm. Feature extraction is performed using the Word2Vec model to convert text into a numerical vector representation that can later be processed by ELM. Converts words into numeric vectors in a high-dimensional space, where words that have the same context in the text are close to each other in that space. The ELM (Extreme Learning Machine) algorithm is used as a classification model due to its high training speed and good generalization ability. Model evaluation is done using confusion matrix which measures classification performance through accuracy, precision, recall matrix. The results of this study show that the ELM algorithm with Word2Vec feature extraction is able to classify user sentiment with a high level of accuracy. This research provides insight into user satisfaction with online transportation services and can be a reference for companies to improve their service quality

This article presents an illustration of the application of combining the concepts of Strait Fuzzy Set and Strait Soft Set involving "fuzzy" and "soft" data to solve a problem in the decision-making process. From this illustration, a condition is constructed in such a way that it is possible to form a bijective Soft Set from the results of combining the two concepts of Strait Fuzzy Set and Strait Soft Set. This research is descriptive qualitative research with a case study approach. An interesting result of this study is that for each parameter it is possible that there is only one group of objects that excel at certain parameters from all the existing parameters

The aim of the research is to determine the application of the Make A Match model as an effort to improve the mathematical analytical thinking skills of class IV students at SDN 5 Tegalrejo in corner material with the help of paired cards. This research method is classroom action research on 21 class IV students at SDN 5 Tegalrejo. Collection techniques through pre-cycles, model application, evaluation tests, observation of learning activities and interviews. The results of the research showed an increase in the mathematical analysis thinking skills of fourth grade students at SDN 5 Tegalrejo in applying the Make A Match model with the help of paired cards in corner material. The scores obtained in the Pre-cycle were with a class average of 62.85, the first cycle had a class average of 72.61, and the second cycle had a class average of 88.09. Increasing mathematical analysis skills takes place in mathematical problem-solving activities through paired cards and evaluation of cycle I and cycle II through the ability to differentiate, organize and attribute. Students are able to achieve analytical thinking skills when the student's score has successfully achieved 3 indicators of students' analytical thinking skills, namely differentiating, organizing and attributing. Students gain knowledge of the concept of angles through understanding problems and surrounding angles, organizing mathematical and applied problems and making attributions in mathematical problems. The percentage of students' analytical thinking ability is achieved if it exceeds ≥ 60% of the classical percentage of students in the high category

The blended learning model is a learning model that uses 2 methods, namely face-to-face and visual, so that it can provide a comprehensive learning experience to students. The purpose of this research is to determine the effect of the Blended Learning Model on students' problem solving abilities. This type of research uses quasi-experimental research with a one group pretest and posttest research design by comparing pretest and posttest scores. The population of this study used Class The results of this research show that the significance value of the Wilcoxon Signed Rank Test is 0.028

The purpose of this research is to produce a test instrument to measure mathematical problem-solving ability by looking at the development procedures and the quality of the mathematics problem solving instruments developed. The research used is the type of research (R&D) that is the development of test instruments to measure the ability to solve mathematical problems. The development model of this research instrument is developed on the basis of the Tessmer model which is the formative type of evaluation, i.e. (1) preliminary stage, (2) self evaluation stage, (3) prototyping stage (expert reviews, one-to-one and small group) and (4) field test stage. The test subject of the experiment were X Students of SMAN 2 Bayah which amounted to 25 students. Based on the results of experiments conducted, it is found that: (1) math problem solving test instrument has been said "valid" because based on the CVR results are 1 and meet the criteria of ≥ 0.99 and CVI is 1 with a category perfectly suitable or in the range 0,68-1,00 (2) mathematical problem-solving test instrument is said to be reliable with a value of 0.754 with high category, and is in the range of 0.60 < r11 < 0,80 (3)instrumen test the math problem solving device has a level of difficulty good then the average level of difficulty obtained is 0.58 with the medium category that is in the range of 0.31 to 0.70. (4) instrumen test math problem solving devices has a power a good differentiator and the average distinguishing power obtained is 0.35 with sufficient category or is in the range Dp > 0.2. As a result, the produced instrument is appropriate for assessing pupils' mathematical problem-solving abilities

Today, higher education faces growing challenges in integrating technology to enhance unique and innovative student learning experiences. One technology that has been in the spotlight in recent years and is very widely used today is Augmented Reality (AR). Considering that currently, there are still many students who have difficulty understanding learning concepts well, have difficulty applying the material studied in everyday life, it is hoped that the use of Augmented Reality (AR) in higher education can be a solution. Augmented Reality (AR) can change the way students view learning as well as its extensive use which can also be felt by all elements of the academic community at universities as tertiary institutions. Thus, this research aims to find out how much influence the use of Augmented Reality (AR) has in universities, namely lecturers, students and universities. The method used in this research is paired t-test. From the research results, it is known that the application of Augmented Reality (AR) has a significant effect in higher education with an effectiveness value of 70% which is included in the interpretation category of effectiveness as quite effective

The purpose of this article is to describe the definition and characteristics of critical thinking disposition, mathematics learning in the independent curriculum, and to analyze the urgency of critical thinking disposition in mathematics learning, especially in the application of mathematics learning in the independent curriculum. This research is descriptive research using the systematic literature review method through searching for accurate and relevant references, namely articles, books, and other relevant sources. From the results of the analysis, it is concluded that the urgency of critical thinking disposition in mathematics learning in the independent curriculum can be seen from several dimensions of the Pancasila student profile, especially the critical reasoning dimension which involves critical thinking disposition and needs to be built optimally and balanced in mathematics learning; the things that are emphasized in mathematics learning in the independent curriculum and involve critical thinking disposition include mathematical problem solving activities, student independence in understanding the mathematics material, and discussion and collaboration activities; mathematics learning models in the independent curriculum that direct students to involve critical thinking disposition; and projects to strengthen the Pancasila student profile in mathematics learning which involve critical thinking disposition in activities and their assessments

The percentage of students who graduate on time is one of the benchmarks for assessing a university's accreditation. To get good accreditation results, it is necessary to predict the graduation rate using a method so that students can anticipate delays in graduating. The C5.0 algorithm is a Decision Tree based algorithm which is a refinement of the ID3 and C4.5 algorithms created by Ross Quinlan in 1987. In this research, researchers analyzed several variables used in the input variables, there are several variables used, namely the SKS variable, Academic Leave, Student Status, Relationship/Communication with Family, Interests and Talents, Family Economics, Relationship/Communication with Lecturers, Number of Revisions, Final Assignment Material or Method. Meanwhile, in the target variable there is the Study Period. The aim of this research is to obtain the results of the implementation of graduation predictions for Strata 1 (S1) Mathematics Study Program students, Faculty of Science and Technology, UIN North Sumatra Medan using the C5.0 Decision Tree Algorithm. There are several steps taken, namely data preprocessing, data division, calculating information gain for the entire case, calculating information gain and entropy for each attribute. Calculate the total entropy and Gain value of each attribute, create a branch from each root node category, if the result of the branch becomes an internal node, the process is carried out until the attribute categories cannot be split. After carrying out the analysis, the accuracy rate was 82.81%. With a high level of accuracy, it can be developed into a rule that can provide predictions or input in making decisions about whether students will graduate on time

This research is development research which aims to produce valid and practical learning tools, namely RPP and Student Activity Sheets (LKPD) on arithmetic series material for class X SMA. This research began with an initial investigation analyzing the problems encountered at school. namely regarding the problems that occur in class X with mathematics learning, it is found that learning outcomes and students' active role in learning mathematics is still low. In this class the Merdeka curriculum has been implemented but differentiation learning has not been tried. The development model used is the plomp development model which consists of 5 stages, namely preliminary investigation, design, relations/construction (realization/construction), test, evaluation and revision (test, evaluation and revision) and implementation (implementation). Based on the results of data analysis, it was concluded that the mathematics learning tool using the PBL model was valid. RPP validation results 97%, LKPD 94% with very valid category. This means that the learning tools developed can be tested. Practical learning tools in small group trials with an average student response of 80% in the practical category

Adequate and efficient availability of medicines is necessary to ensure patients receive optimal care. However, inefficient drug stock management can result in various problems, such as waste of resources, lack of necessary drugs, or even excessive stock. This study aims to improve the efficiency of the drug stock management process by using KMeans Clustering and Hierarchical Clustering methods on drug stock data. The data used includes information on initial stock, purchase, incoming distribution, service, outgoing distribution, outgoing adjustment, and final stock. Clustering analysis was performed to identify patterns in the drug stock data, which was then validated using Silhouette Score. The results showed that Hierarchical Clustering was able to achieve a Silhouette Score of 0.976, while KMeans achieved a Silhouette Score of 0.954

Teachers need to integrate applications/media into mathematics learning to improve the quality of mathematics learning. Initial observation results show that teachers in the learning process only use direct learning models without involving learning media that can attract students' interest in learning. This results in low student learning outcomes in Tangent Lines to Circles material. One application that can be used as a mathematics learning medium is the GeoGebra application. This research aims to describe the learning outcomes of class VIII students at SMP N 1 Eris on Tangent Lines to Circles material taught using the direct learning model with the GeoGebra application, which is better than the learning outcomes of students taught using the direct learning model without the GeoGebra application. The research subjects were class VIIIA as an experimental class (a class that used a direct learning model with the GeoGebra application) consisting of 20 students and class VIIIB as a control class (a class that used a direct learning model) composed of 20 students. The instrument used in this research is a test in the form of essay questions to measure student learning outcomes. The data collection technique is to give a pretest and posttest in the form of descriptive questions consisting of 5 questions. Based on the research results, it can be concluded that learning using the direct learning model with the GeoGebra application on circle tangent material in class VIII students at SMP Negeri 1 Eris is better than learning using the direct learning model without the GeoGebra application

Diarrhea disease is categorized as the top 10 most common diseases in North Sumatra, especially Medan City. The number of diarrhea cases in each sub-district in Medan City varies, indicating a relationship between regions. This is the basis for the use of spatial models to find out how much influence variables have on the incidence of diarrhea in Medan City. The Spatial Auto regressive (SAR) model is used to adjust the relationships that exist between a set of observations or locations. In this study, the results of SAR modeling of diarrhea cases in 21 sub-districts in Medan City compared to the OLS model produced the best model. The SAR model yielded 35.82%. The significant variable for diarrhea cases in Medan City is the number of people who do not have access to PAM water ( ).

Batam City is one of the cities in Indonesia which is located in a strategic area on international shipping routes and has a sea area of 3,675 km so it has great potential for exporting fishery products, based on main commodities. Based on data from the Ministry of Maritime Affairs and Fisheries (KKP) in 2022, the performance of the export value of Indonesian fishery products during 2022 experienced positive growth of 21.63 percent compared to 2021. In 2021, the export value of Indonesian fishery products reached 1,258 million USD, increasing to 1,530 million USD in 2022. This fact shows that the marine fisheries sector still offers significant opportunities today. However, there are several obstacles that stand in the way of the export process. These obstacles include the low level of technology application, unequal infrastructure development in various fisheries centers, limitations in providing capital, low utilization of Indonesia's marine potential, and the use of fishing systems in the production process which are deemed unable to utilize Indonesia's marine potential optimally. Given this problem, it is interesting to see the forecast for fishery product exports according to the main commodities in the city of Batam. Is there an increase or a decrease? So the aim of this research is to describe the predicted results of the export value of fishery products according to 3 main commodities, namely shellfish, crab and shrimp in Batam City in the next 5 years. This research method is quantitative using the time series method: ARIMA. The research results show that the estimated export of shellfish and crab will decrease from 2023 - 2027. Meanwhile, the estimated export of shrimp will increase from 2023 - 2027

This research aims to: 1) determine the process of developing teaching module, 2) determine the validity of teaching modules, 3) determine the practicality of teaching modules, and 4) determine the effectiveness of teaching modules. In general, the development of this CLT-based teaching module is to find out whether the taching module can minimize students’ mathematical anxiety.The research follows a development model, specifically the Plomp development model which consists of 5 phase, 1) preliminary phase, 2) design phase, 3) realization phase, 4) test, evaluation and revision phase, 5) implementation phase. The developed teaching module focuses on trigonometry material for phase E students at MAN Se-Tulungagung. Data collection methods include validation, objective observation, and questionnaires. Practicality data were obtained from teacher questionnaires, while effectiveness data were derived from students’ mathematical anxiety questionnaires. Based on data analysis, the following results were obtained: 1.) The validation score for the teaching module was 3.754, categorizing it as valid. 2.) The practicality score for the teaching module was 4.02, indicating high practicality. 3.) The teaching module effectively minimized mathematical anxiety, as evidenced by anxiety levels in experimental classes compared to control classes. Control classes using conventional learning showed higher anxiety levels, with MAN 3 Tulungagung at 2,89 (‘anxious’), MAN 2 Tulungagung at 2.615 (‘anxious’), and MAN 1 Tulungagung at 2.204 (‘anxious’). Meanwhile, experimental classes, after using the teaching module, showed lower anxiety levels: MAN 3 Tulungagung at 1.98 (‘moderate anxiety’), MAN 2 Tulungagung at 1.96 (‘moderate anxiety’), and MAN 1 Tulungagung at 1.44 (‘moderate anxiety’)