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".
Recent studies, including a 2017 experiment and a 2024 PNAS analysis, reveal that adults can be identified by name‑linked facial cues at rates above chance, suggesting that social expectations and long‑term behavioral feedback subtly influence mutable facial features, while children show no such effect.
The article reviews the book “AI Writing Breakthrough: The Five‑Source Model” and explains its five‑element framework—prompt, structure, fed material, template, and human calibration—showing how each dimension influences AI‑generated academic text, offering practical examples, modeling insights, and tips for effective AI‑assisted writing.
The article dissects the “从夯到拉” rating meme, showing how its self‑explanatory labels, strong emotional charge, reuse of existing hot words, and open “from‑X‑to‑Y” format combine to make it far more shareable than traditional numeric tiers.
This guide walks you through preparing the environment, installing OpenClaw, configuring its onboarding, creating a Feishu custom app, setting up event subscriptions and permissions, and finally pairing the AI agent so it can respond to Feishu messages.
This article introduces OpenClaw, an open‑source AI assistant framework, explains its skill system, lists the ten most popular community skills with installation commands, and highlights security considerations for safely extending its capabilities.
A detailed three‑equation dynamic model estimates the depletion rates of Iran’s ballistic missiles and the US‑Israel THAAD interceptors during the 2026 Middle‑East clash, revealing that THAAD runs out in about 2‑3 days while Iran’s effective missile window shrinks to roughly two weeks under high‑intensity fighting.
The article applies a simplified game‑theoretic model to Bill Gates’ February 2026 internal apology, examining how strategic information disclosure, risk assessment, and a “cover effect” can make proactive admission of low‑risk scandals a rational crisis‑management choice.
The article builds a qualitative cost model that breaks down robot deployment expenses into manufacturing, environment adaptation, and data collection, showing why humanoid robots are currently the least resistant general solution while highlighting their limitations and alternative morphologies for specific scenarios.
The article examines DeepSeek’s decision to avoid the Chinese New Year red‑packet promotion by modeling user acquisition costs, revenue, and compute constraints, showing that limited capital and the trade‑off between inference and training resources make mass user growth financially unattractive compared to larger rivals.
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.
