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".
This article builds a simple additive model to explain how interview order influences graduate exam scores through reference bias and evaluator fatigue, analyzes their combined impact on candidates of different ability levels, and offers practical advice for applicants despite institutional safeguards.
Using a newly defined Net Strategic Gain Index (NSGI), this analysis quantifies the strategic benefits and costs of 21 countries and regions after 24 days of the US‑Israel‑Iran war in the Strait of Hormuz, revealing surprising winners among non‑combatants and deep losses for import‑dependent economies.
The article examines whether AI will replace programmers or merely reshape their value, distinguishing unemployment from wage depreciation, proposing a simplified exponential decay model that combines industry replacement rate and an individual irreplaceability coefficient, and shows how judgment, business understanding, and organizational skills become critical for career longevity.
This article walks through the design and implementation of a no‑code AI reading agent that parses, splits, and summarizes books chapter by chapter, explaining why the tool serves as a pre‑reading filter rather than a replacement for deep study.
An in‑depth examination of the March 2026 USS Ford laundry‑bay fire reveals how ventilation‑driven fire spread, degraded damage‑control capability, and crew morale combined to keep the blaze burning for over 30 hours, supported by a Bayesian attribution model and comparable naval case studies.
The article uses game‑theoretic models such as the Prisoner's Dilemma, the Folk Theorem, and information‑asymmetry analysis to show that backstabbing in business is a structurally rational choice driven by payoff incentives, discount factors, and hidden information, and it offers concrete strategies to mitigate the risk.
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.
