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Model Perspective
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Model Perspective

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".

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Recent Articles

Latest from Model Perspective

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Model Perspective
Model Perspective
Jul 11, 2026 · Fundamentals

How a 60‑meter ‘Rescue Carrier’ Floated 500 Students: The Physics Explained

During the July 2024 floods in Guigang, a 60‑meter emergency floating bridge rescued 500 students at a time, and the article explains how its large waterline area, shallow draft, and high metacentric height—derived from Archimedes' principle and naval stability theory—allowed it to stay afloat and stable while carrying heavy loads.

Archimedes principleDisaster rescueEmergency bridge
0 likes · 7 min read
How a 60‑meter ‘Rescue Carrier’ Floated 500 Students: The Physics Explained
Model Perspective
Model Perspective
Jul 10, 2026 · Industry Insights

Is Avoiding Stupidity More Important Than Being Smart?

Exploring Charlie Munger’s reverse‑thinking principle, the article shows how avoiding foreseeable mistakes protects the geometric mean in multiplicative games, explains Jensen’s inequality, the impact of absorbing barriers, and when to defend or attack based on distance to ruin, offering a nuanced view of smart versus stupid strategies.

Jensen inequalitybarbell strategydecision-making
0 likes · 11 min read
Is Avoiding Stupidity More Important Than Being Smart?
Model Perspective
Model Perspective
Jul 9, 2026 · Artificial Intelligence

The Three Math Pillars Powering Modern Large Language Models

Beyond compute, data, and Transformer architecture, large language models rely on three core mathematical disciplines—linear algebra for representations, probability and statistics for modeling, and calculus for optimization—each of which underpins token embeddings, attention mechanisms, training objectives, and scaling laws.

Attention MechanismLarge Language Modelscalculus
0 likes · 11 min read
The Three Math Pillars Powering Modern Large Language Models
Model Perspective
Model Perspective
Jul 7, 2026 · Industry Insights

Why Japan’s Air‑Conditioner Recycling Can’t Bridge Its Rare‑Earth Gap

Japan’s plan to dismantle old air‑conditioners for neodymium magnets, analyzed through quantity, structural, and time‑scale models, shows that the recovered material is too small, the wrong type of rare earths, and delayed by years, making it insufficient to offset China‑driven supply restrictions.

Japanmagnetrare earths
0 likes · 7 min read
Why Japan’s Air‑Conditioner Recycling Can’t Bridge Its Rare‑Earth Gap
Model Perspective
Model Perspective
Jul 6, 2026 · Industry Insights

The Math Behind a Submarine-Launched Strategic Missile Test

The article analyzes the July 6 submarine-launched missile test by calculating its Keplerian trajectory, altitude over neighboring airspace, the rocket equation governing range, and the legal implications of crossing the Kármán line, revealing how physics and strategy intersect in such demonstrations.

Kármán linemissile trajectoryorbital mechanics
0 likes · 10 min read
The Math Behind a Submarine-Launched Strategic Missile Test
Model Perspective
Model Perspective
Jul 5, 2026 · Industry Insights

Why Russia Faces Fuel Shortages Despite Vast Crude Reserves

Although Russia remains one of the world’s largest crude exporters with decades of reserves, attacks on its refineries and logistics bottlenecks have sharply cut refining capacity, forcing the country to import jet fuel and exposing a fragile downstream supply chain.

Russiaaviation fuelenergy security
0 likes · 9 min read
Why Russia Faces Fuel Shortages Despite Vast Crude Reserves
Model Perspective
Model Perspective
Jul 3, 2026 · Industry Insights

Understanding “Beng Laotou” and “Beng Ayi” Through Two Analytical Models

The article examines the Chinese livestream scams known as “Beng Laotou” and “Beng Ayi,” interpreting them as manifestations of emotional capitalism, analyzing their three operational stages, trust‑signal dynamics, and the technological and market forces that turn them into a scalable industry.

BourdieuChinese internetdemographic trends
0 likes · 7 min read
Understanding “Beng Laotou” and “Beng Ayi” Through Two Analytical Models
Model Perspective
Model Perspective
Jul 2, 2026 · Industry Insights

Can a Low-Income Student Afford a Long Medical Path? An Economic Analysis of Choosing Tsinghua for Medicine

The article examines a high‑scoring Henan student’s dilemma of studying medicine at Tsinghua, using intertemporal utility models and empirical research on poverty‑induced present bias to assess financial feasibility and the impact of scholarship support, while also comparing Tsinghua’s medical network to Peking University and Xiehe.

economic analysishigher educationintertemporal choice
0 likes · 9 min read
Can a Low-Income Student Afford a Long Medical Path? An Economic Analysis of Choosing Tsinghua for Medicine
Model Perspective
Model Perspective
Jun 30, 2026 · Industry Insights

Why “Asking for Face” No Longer Works in Modern China

The article analyzes why Han Hong’s public plea for “face” at a movie premiere sparked a nationwide meme, explaining through social‑exchange theory, the handicap principle, and changing social structures why such a request now functions as a negative signal rather than a persuasive one.

Handicap Principlecultural trendsface culture
0 likes · 9 min read
Why “Asking for Face” No Longer Works in Modern China