Insights, knowledge, and enjoyment from a mathematical modeling researcher and educator. Hosted by Haihua Wang, a modeling instructor and author of "Clever Use of Chat for Mathematical Modeling", "Modeling: The Mathematics of Thinking", "Mathematical Modeling Practice: A Hands‑On Guide to Competitions", and co‑author of "Mathematical Modeling: Teaching Design and Cases".
This article builds a step‑by‑step probability model of the 2026 Chinese Spring Festival train‑ticket rush, quantifying the impact of system capacity, user delay, pre‑filled orders, waiting‑list strategies and third‑party tools, and offers data‑driven tips to raise the chance of success.
This article analyzes Li Auto's plan to close about 100 underperforming stores in 2026, builds a three‑factor scoring model, conducts a cost‑benefit analysis, and formulates a 0‑1 integer programming optimization to identify which locations to shut while highlighting broader product‑line challenges.
This article presents a comprehensive framework for forecasting that combines peer (same‑level) comparison, bottom‑up decomposition, top‑down system thinking, time‑series analysis, causal modeling, and scenario simulation, while highlighting each method's strengths, limitations, and practical wisdom for effective decision‑making.
The 2026 MCM/ICM competition presents six diverse real‑world problems—from smartphone battery discharge to space‑elevator logistics, dance‑show voting, sports team management, passive solar shading, and generative AI impacts—each requiring continuous‑time or data‑driven mathematical models, sensitivity analysis, and actionable recommendations.
This guide walks you through the complete HarmonyOS mobile development workflow—from understanding the platform’s layered architecture and core ArkTS/ArkUI concepts, to setting up DevEco Studio, creating a Hello World app, managing UI, state, routing, data, and finally packaging and publishing the app.
A recent video showing CO₂ levels rising from 880 ppm to over 2000 ppm inside a high‑speed train cabin sparked analysis that uses fluid‑mechanics and mass‑conservation modeling to explain why passengers often feel sleepy, comparing standards, physiological impacts, and ventilation efficiency.
This article applies two‑sided market theory and game‑theoretic modeling to examine HarmonyOS’s ecosystem growth, Huawei’s strategic levers, and three possible long‑term equilibrium scenarios, supported by recent market data and ecosystem metrics.
Using a Poisson‑based statistical model, the article quantifies China U23’s and Vietnam U23’s probabilities of reaching the final of the 2025 Asian Cup by analyzing past match data, estimating attack and defence strengths, adjusting for opponent quality and penalty‑shootout skill, and performing sensitivity analysis on key variables.
The article applies the epidemiological SIR model to explain how a celebrity's comment about household income sparked a massive online controversy, analyzing the high transmission rate, low recovery rate, and resulting risk factors that kept the story alive far beyond a typical news cycle.
The article builds a quantitative decision model to evaluate whether leaving a high‑pay tech job at age 30 is impulsive or rational, showing that a success probability above 2.8% makes the move mathematically favorable, while highlighting risk perception, age effects, and personal circumstances.
