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 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.
The article explains how telecom scammers deliberately use low‑quality, obvious scams because economic modeling shows that such “stupid” scripts maximize profit by filtering victims, leveraging the law of large numbers, behavioral economics, and AI deep‑fakes to sustain a mathematically optimal fraud system.
The article explains how everyday intuition can be formalized with Boolean algebra by breaking down vague judgments into binary variables, applying logical operations and laws, and using a step‑by‑step methodology to create transparent, repeatable decision models for jobs, medical diagnosis, risk assessment, and product selection.
This article builds a mathematical model using dual‑landmark triangulation and perspective geometry to estimate the distance of a PLA drone that captured a high‑resolution image of Taipei 101, providing calculations, error analysis, and confidence intervals for the drone’s range.
Explore the core principles of PID control—from proportional, integral, and derivative actions that eliminate error—to practical parameter tuning methods and step-by-step MATLAB/Simulink simulations, including code snippets and block diagrams that illustrate how to model, discretize, and validate a PID controller for real‑world systems.
