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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
Dec 28, 2025 · Fundamentals

Mastering PID Control: Theory, Tuning, and MATLAB/Simulink Implementation

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.

MATLABPIDParameter Tuning
0 likes · 11 min read
Mastering PID Control: Theory, Tuning, and MATLAB/Simulink Implementation
Model Perspective
Model Perspective
Dec 21, 2025 · Fundamentals

Why Did Nanjing’s GPS Fail? Unveiling the Math Behind Satellite Navigation

On December 17, 2025, a massive GNSS signal disruption in Nanjing caused major navigation apps to fail, prompting a technical analysis that reveals how trilateration, pseudorange measurements, linearization, least‑squares solving, and error factors like GDOP and carrier‑phase ambiguity underpin modern satellite positioning.

Carrier PhaseGDOPGNSS
0 likes · 9 min read
Why Did Nanjing’s GPS Fail? Unveiling the Math Behind Satellite Navigation
Model Perspective
Model Perspective
Dec 20, 2025 · R&D Management

Quantifying Human Traits: A Seven‑Dimensional Vector Model for Predicting Behavior

This article presents a systematic, seven‑dimensional personality‑trait vector model that blends ancient Chinese wisdom with modern quantitative methods, detailing scoring standards, evidence weighting, Bayesian updates, and real‑world case studies for hiring, partnership, and promotion decisions.

bayesian updatebehavior predictiondecision making
0 likes · 13 min read
Quantifying Human Traits: A Seven‑Dimensional Vector Model for Predicting Behavior
Model Perspective
Model Perspective
Dec 19, 2025 · Fundamentals

How a Multi‑Dimensional Model Ranks China’s Historical TV Dramas

This study builds a comprehensive evaluation model for Chinese historical drama series, defining four primary and nine secondary indicators, standardizing data, applying weighted calculations and a time‑compensation factor to score 127 candidates and produce a TOP‑100 ranking that highlights the influence of audience reputation, market impact, professional recognition, and historical value.

ModelRankingevaluation
0 likes · 18 min read
How a Multi‑Dimensional Model Ranks China’s Historical TV Dramas
Model Perspective
Model Perspective
Dec 17, 2025 · Fundamentals

How Matching Theory Shapes College Admissions, Residency, and Kidney Exchanges

Matching markets, where participants mutually select each other, underpin decisions from college admissions to medical residencies and kidney exchanges; the article explains their core principles, the Gale‑Shapley deferred acceptance algorithm, key theorems on stability and optimality, and real‑world applications that illustrate why honest preferences are strategically dominant.

algorithm designdeferred acceptancekidney exchange
0 likes · 17 min read
How Matching Theory Shapes College Admissions, Residency, and Kidney Exchanges
Model Perspective
Model Perspective
Dec 12, 2025 · Fundamentals

How WWI Propaganda Shaped Modern Media: Lessons from Harold Lasswell

The article examines Harold Lasswell's analysis of World War I propaganda, detailing how institutionalized messaging, five key persuasion tactics, and emerging media channels forged a legacy that still informs contemporary information warfare and media studies.

Harold LasswellWorld War Icommunication theory
0 likes · 9 min read
How WWI Propaganda Shaped Modern Media: Lessons from Harold Lasswell
Model Perspective
Model Perspective
Dec 11, 2025 · Fundamentals

What’s New in China’s National Youth Scientific Modeling Competition 2026?

The 2026 National Youth Scientific Modeling Competition, now a Ministry‑of‑Education white‑list event, expands participation, offers free entry for high‑school teams, outlines detailed prelim and final requirements, and compares its format and value with major international and regional modeling contests.

2026ChinaEducation
0 likes · 12 min read
What’s New in China’s National Youth Scientific Modeling Competition 2026?
Model Perspective
Model Perspective
Dec 8, 2025 · Fundamentals

How Mathematical Modeling Can Supercharge Your Civil Service Exam Prep

This article explains how to import mathematical‑modeling thinking into the preparation for China's civil‑service exam, detailing core modeling concepts, specific quantitative question models, time‑allocation optimization, decision‑making for question selection, and study‑phase strategies such as learning‑curve and forgetting‑curve analysis.

Learning CurveMathematical Modelingcivil service exam
0 likes · 10 min read
How Mathematical Modeling Can Supercharge Your Civil Service Exam Prep
Model Perspective
Model Perspective
Dec 6, 2025 · Artificial Intelligence

Understanding the Ladder of Causation: From Correlation to Counterfactuals

Judea Pearl’s Ladder of Causation framework divides reasoning into three levels—association, intervention, and counterfactuals—explaining how conditional probability, the do‑operator, and structural causal models enable moving from mere data correlation to actionable causal insights, with practical criteria like back‑door and front‑door adjustments.

Judea Pearlcausal inferencecounterfactuals
0 likes · 10 min read
Understanding the Ladder of Causation: From Correlation to Counterfactuals