This article uses ten vivid everyday metaphors—from a stretched rubber band to a domino chain—to illuminate the core ideas behind various mathematical models, helping readers intuitively grasp abstract concepts across fields such as statistics, optimization, and system dynamics.
This article presents a visual guide to thirty classic mathematical models—spanning natural sciences, social sciences, engineering, and interdisciplinary fields—detailing their core ideas, practical applications, and key insights, illustrating how each model serves as a powerful tool for solving complex real‑world problems.
The article explores the characteristics of long‑lasting mathematical models—continuous refinement, expanding applicability, elegant simplicity, extensibility, focus on essence, and philosophical depth—illustrated with examples such as neural networks and the Lotka‑Volterra predator‑prey system, and offers guidance on creating such vibrant models.
This article introduces ten widely used scientific mathematical models, explains their typical application scenarios, and provides step‑by‑step instructions for implementing each model with the Origin data‑analysis software, covering linear, exponential, kinetic, adsorption, enzymatic, and advanced fitting techniques.
This curated list groups recent articles on change and predictive models, covering topics such as war dynamics, population, epidemic spread, differential equations, regression, time‑series analysis, machine learning classifiers, and grey‑prediction techniques, providing students with ready references for diverse modeling approaches.
