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 analyzes DeepSeek’s new peak‑valley pricing, quantifies how time‑zone differences cause U.S. developers to pay far less than Chinese developers for the same API usage, and discusses the broader implications of such structural cost disparities.
DeepSeek’s recent staff doubling is examined through ecological niche theory and a Lotka‑Volterra competition model, showing its current API‑centric niche, potential move into enterprise agent tools, and the strategic need to define new standards rather than merely replicating existing Harness products.
The article analyzes how the rapid opening and closing of restaurants in China transfers household savings into the supply chain, using Keynesian multiplier theory and a stock‑flow “reservoir” model to explain the macroeconomic role, limits, and redistribution effects of this industry dynamic.
South Korea's KOSPI surged over 100% this year, with active trading accounts exceeding the population, driven by tax‑free arbitrage, leveraged retail enthusiasm, and a semiconductor boom centered on Samsung and SK Hynix, raising concerns about market fragility.
The $1 billion‑earning 3D otome game ‘Love and Deep Space’ sparked a flood of complaints after adding a new character, prompting the author to model the player‑company relationship as a one‑sided emotional credit bond, linking parasocial interaction, social anxiety, sunk‑cost effects, and identity‑driven churn.
The 2026 BCG Global Wealth Report shows Hong Kong surpassing Switzerland as the world's largest offshore wealth center, driven by its unmatched credibility and free‑capital policy, while highlighting Switzerland's credibility loss and the structural risks tied to mainland China.
The article explains how formalism in organizations serves four intertwined functions—exemption, signaling, power display, and concealment—making it a rational, self‑preserving choice that is hard to reform without changing underlying incentive structures.
The article argues that paying large sums for children’s travel experiences often yields only superficial exposure, not lasting cognition, and explains this through psychological research, Bourdieu’s cultural capital theory, Vygotsky’s zone of proximal development, and the role of parental interaction.
Despite rising disposable incomes, China's 618 shopping festival was unusually quiet this year, as preventive savings, heightened price‑comparison tools, social‑media scrutiny, and stricter anti‑unfair‑competition regulations have reduced consumer willingness to spend and made deceptive raise‑then‑lower pricing strategies unprofitable.
The article uses a simple identification model to examine South Korea’s strained education system, analyzing how indiscriminate teacher‑complaint mechanisms harm teachers, parents, and students, and proposes a low‑cost pre‑screening process that could improve outcomes for all three parties.
