applied-mathematics

This study aims to identify and describe students’ collective errors in solving exponential equations based on Newman’s Error Analysis, as well as to examine the factors contributing to these errors within a cooperative learning context. A qualitative descriptive approach was employed, involving seven groups of tenth-grade students who had learned exponential equations. Data were collected throug…

This research is motivated by the suboptimal utilization of local resources, particularly lemongrass plants, as well as the limited life skills-based empowerment program at PKBM Al Manar Medan. This study aims to analyze the use of lemongrass plants as an ingredient in making herbal soap in developing students' life skills. The study used a qualitative descriptive approach with a field research t…

In recent years, with the rapid development of artificial intelligence (AI) technology and the intensification of global economic policy uncertainty (EPU), China's education and training market (ETM) is facing unprecedented challenges and opportunities. This paper analyzed the quantile-based nonlinear impact of AI and EPU on ETM in China, and the results are as follows: 1. The nonparametric quant…

This study builds a super‑efficiency SBM framework that takes unintended outputs into consideration. Using the Dagum Gini index, Moran’s I statistic, and a principal component regression model, we evaluate the green development efficiency of the cultural sector across 11 provincial‑level units within the Yangtze River Economic Belt for the year 2023. The analysis uncovers both the spatial‑tempora…

This study aims to analyze the effect of renewable energy, energy consumption, and Gross Domestic Product (GDP) per capita on carbon dioxide (CO2) emissions in Indonesia for the period 1995-2024. This study uses secondary data over time (time series) with the Ordinary Least Square (OLS) multiple linear regression analysis method corrected using the Newey-West Heteroskedasticity and Autocorrelatio…

This study aimed to determine the effect of attendance level, participation level, and students’ motivation on students’ achievement in the Mathematics for Senior High School course. The study employed a quantitative approach with an ex post facto research design. The population consisted of 22 students enrolled in the Mathematics for Senior High School course, and all population members were sel…

This This study aims to describe the implementation process of the Realistic Mathematics Education (RME) approach assisted by GeoGebra in mathematics learning on the topic of Systems of Linear Equations in Two Variables (SPLDV) in Grade X of SMK PU Malang. The RME approach was chosen because it connects mathematical concepts with contextual situations close to students’ everyday lives, while GeoG…

Despite the growing progression of regional economic integration as a driving factor for national development, the spatial dynamics of industrial interdepend-ence in Bangladesh's southern coastal zone remain insufficiently theorized and empirically underexplored. The research addresses this gap by examining the functional correlation, dependable characteristics, and structural linkages among indu…

Friends, I will come back with a detailed latex post and commented code later tonight. But very quickly for friends trying to play with the program, I have changed the order of variables and indexing and it is different in new output variable cnOptim that comes out of Newton optimization. Please let me explain here. In the expansion of nth power of Gaussian, if there are K correlated variables, t…

My question is simple, consider a European call with payoff max(S_T-K, 0), Let's suppose that the underlying stock follows a binomial tree with up and down factors I know as we take n goes to infinity that the stock is log-normally distributed at time t=T (I know how to derive it). The idea is to derive the B-S-M pricing formula as the expected value of the present value of max(S_t-K, 0) using t…

This paper formalises two memoryless arithmetic processes—the Prime Gap State Machine and the Collatz odd backbone—as exact Markov chains on the six vortex residues {1,2,4,5,7,8} (mod 9) defined by the Prime Lattice Coherence Theorem (PLCT). The chains arise directly from the PLCT’s zone structure and its core theorems. For the Collatz process, the transition matrix is derived analytically from t…