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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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Latest from Model Perspective

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Model Perspective

Nov 17, 2025 · Fundamentals

How Math Can Make Wuxia Moves Feel Real: Kinematics, Energy, and Game Physics

By applying kinematic equations, differential equations, network models, and game theory, this article shows how mathematical modeling can give wuxia’s legendary feats—such as soaring jumps, internal energy flow, weapon dynamics, and battle formations—a coherent, physically plausible framework for films, games, and storytelling.

Differential EquationsGame TheoryMathematical Modeling

0 likes · 12 min read

How Math Can Make Wuxia Moves Feel Real: Kinematics, Energy, and Game Physics

Model Perspective

Nov 11, 2025 · Fundamentals

How Mathematical Modeling Transforms Ten Humanities Disciplines

This article explores how mathematical modeling, once confined to the sciences, now enriches ten humanities fields—from economics and management to sociology, psychology, and history—by providing quantitative frameworks that deepen understanding, improve predictions, and support evidence‑based decision making.

Mathematical Modelingeconomicshumanities

0 likes · 12 min read

How Mathematical Modeling Transforms Ten Humanities Disciplines

Model Perspective

Nov 10, 2025 · R&D Management

How to Diagnose and Fix a “Bad” Team Using Math‑Based Decision Models

This guide presents a systematic, math‑driven framework for evaluating whether problems lie with the team or yourself, classifying team types, quantifying performance with weighted metrics, analyzing exit costs, and choosing evidence‑based strategies to stay, improve, or leave, all backed by concrete formulas and real‑world examples.

Self‑Assessmentdecision analysisorganizational behavior

0 likes · 16 min read

How to Diagnose and Fix a “Bad” Team Using Math‑Based Decision Models

Model Perspective

Nov 9, 2025 · Operations

How Mathematical Modeling Optimizes Rare Earth Production

This article systematically explores mathematical modeling techniques for each stage of rare earth production—including leaching kinetics, solvent extraction optimization, material and energy balances, environmental impact assessment, and intelligent optimization algorithms—providing theoretical foundations for process control, efficiency improvement, and sustainable development.

Chemical EngineeringMathematical Modelingenvironmental assessment

0 likes · 10 min read

How Mathematical Modeling Optimizes Rare Earth Production

Model Perspective

Nov 8, 2025 · Operations

How Mathematical Modeling Powers China’s New Fujian Aircraft Carrier

From its 2018 construction kickoff to its 2025 commissioning, the Fujian aircraft carrier’s development showcases a timeline of milestones, while the article delves into the critical mathematical models—covering electromagnetic launch, energy storage, fluid dynamics, stability, scheduling, radar, and reliability—that underpin its design and operation.

Aircraft CarrierElectromagnetic LaunchHydrodynamics

0 likes · 18 min read

How Mathematical Modeling Powers China’s New Fujian Aircraft Carrier

Model Perspective

Nov 7, 2025 · Fundamentals

How Math Turns Chinese Dinner Parties into Optimization Puzzles

This article explores how combinatorics, multi‑objective optimization, game theory, Markov chains, and expected‑return models can mathematically describe seating, menu selection, bill‑splitting, optimal group size, and topic flow in traditional Chinese dinner gatherings.

Game TheoryOptimizationcombinatorics

0 likes · 9 min read

How Math Turns Chinese Dinner Parties into Optimization Puzzles

Model Perspective

Nov 6, 2025 · Fundamentals

What Programmers Can Teach Us: 10 Habits to Boost Any Career

This article reveals ten powerful habits cultivated by programmers—such as problem decomposition, continuous learning, meticulous attention to detail, version control, automation, thorough documentation, systematic debugging, code reuse, proactive testing, and iterative improvement—that can dramatically enhance efficiency and quality in any profession.

Version Controlcontinuous learningproductivity

0 likes · 11 min read

What Programmers Can Teach Us: 10 Habits to Boost Any Career

Model Perspective

Nov 5, 2025 · Fundamentals

Can Traditional Martial Arts Survive the Physics of Power Slap? A Biomechanical Model

This article builds a quantitative biomechanical model of Power Slap, analyzes the stages of a slap, derives force, energy and pressure equations, evaluates key variables such as speed, contact time, angle and area, and uses the case of Zhao Hong‑gang to illustrate how physics, training and strategy determine victory or knockout while highlighting safety and ethical concerns.

biomechanicsimpact modelingmartial arts

0 likes · 19 min read

Can Traditional Martial Arts Survive the Physics of Power Slap? A Biomechanical Model

Model Perspective

Nov 4, 2025 · Fundamentals

Can Math Predict a Joke’s Success? A Modeling Guide to Humor

This article applies mathematical modeling—including surprise indices, timing dynamics, density optimization, and risk assessment—to dissect how stand‑up comedy works, illustrating each concept with real‑world jokes and offering practical formulas for crafting more effective humor.

Mathematical ModelingPerformance optimizationcomedy analysis

0 likes · 16 min read

Can Math Predict a Joke’s Success? A Modeling Guide to Humor

Model Perspective

Nov 3, 2025 · Fundamentals

Why Mathematical Modeling Can’t Always Cure, But It Always Helps and Comforts

Mathematical modeling, like medicine, occasionally provides perfect solutions, frequently offers valuable insights and improvements, and consistently comforts us by fostering rational thinking, order, and a shared language, reminding us that while flawless cures are rare, useful, pragmatic models are essential in navigating an uncertain world.

Mathematical ModelingOptimizationUncertainty

0 likes · 7 min read

Why Mathematical Modeling Can’t Always Cure, But It Always Helps and Comforts