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".
The article explains how large language models can simulate virtual respondents—called silicon samples—to generate synthetic survey data, outlines the four fidelity criteria for evaluating their credibility, and demonstrates practical workflows with the open‑source EDSL Python library.
The book “Unreasonable Hospitality” uses a $2 hot‑dog story from Eleven Madison Park to illustrate how a blend of flawless service and personalized hospitality, guided by the 95/5 rule and a “Dreamweaver” role, can create emotional connections that differentiate any service‑focused organization.
This article models "smartness" as high risk aversion, showing how excessive caution and over‑reliance on short‑term signals can cause decision makers to miss high‑expectation, high‑uncertainty opportunities, with hidden long‑term costs revealed through compounding effects.
The article explores David Spiegelhalter's book on uncertainty, explaining how probability reflects personal ignorance, detailing Bayesian versus frequentist views, and illustrating real-world applications such as COVID risk communication, sports luck, and investment performance.
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.
