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".
Even though traveling at night seems optimal, collective driver behavior causes congestion to reappear; using the LWR traffic flow model and game‑theoretic analysis, the article explains how density, flow, speed interact, why congestion waves propagate, and why off‑peak strategies quickly lose effectiveness.
This article explains how alcohol is metabolized, why many East Asians experience flushing due to the ALDH2*2 genetic variant, how a simple pharmacokinetic model predicts acetaldehyde buildup, and why perceived drinking tolerance is driven by neural adaptation rather than metabolic improvement.
Analyzing four decades of CCTV Spring Festival Gala sponsors, the article quantifies industry shifts—from early consumer goods to today’s AI cloud, robotics, and new energy—using a custom CCTV‑SI index, and highlights how sponsorship patterns forecast market dynamics, policy impacts, and emerging technology signals.
Using a weighted five‑dimensional scoring model that blends valuation, production volume, motion control, AI capability, commercial deployment and capital strength, this analysis ranks the top 30 humanoid robot firms in 2025, revealing Chinese companies’ dominance, valuation‑delivery gaps, and the model’s inherent limitations.
This guide explains how to use ByteDance's Seedance 2.0 video generation model, covering its capabilities, input formats, prompt syntax, platform options, practical examples, common pitfalls, and advanced workflows for creating high‑quality, controllable short videos.
The article analyzes why firms issue physical welfare items instead of cash, using a simplified cost‑benefit model, tax regulations, bulk‑purchase discounts, and behavioral economics to reveal the financial and psychological incentives behind the practice.
Using a principal‑agent framework, the article analyzes how a Zhengzhou logistics entrepreneur eliminated a 1.05 million‑yuan debt by sharing 50% of profits with staff, abolishing attendance checks, and restructuring incentives, supported by detailed financial calculations, Holmstrom’s theory, and practical implementation steps.
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.
