Kenneth Cheng · Macau
I teach mathematics and explore how models help us understand the world. A notebook of questions, computations, and classroom ideas.
A little about me →Fresh from the notebook
Two positive transport networks can lose exactly the same total mass, share every eigenvalue, and still disagree about a finite-time sensor alarm. A controlled study asks what a spectrum misses, what a rigorous margin can certify, and when that margin becomes uninformative.
A short note on choosing the next observation when several parameter explanations already fit the data.
A small error or an improved average answers only its own question. Event timing and worst-group reliability need their own checks.
A few good starting points
From a modeling question to a calculation and an application.
A compact workflow for assumptions, model choice, computation, validation, limitations, and communication.
A topic guide connecting polynomial interpolation, Chebyshev nodes, and the Gibbs phenomenon.
A guide to what a synthetic reaction–diffusion experiment can—and cannot—show about climate-sensitive transmission.
Choose a direction
Questions, models, geometry and mathematical judgement.
4 articles →Numerical methods, simulation and reproducible computation.
14 articles →Learning from data while testing what can be inferred.
13 articles →Uncertainty, reliability and decisions with limits.
33 articles →Living systems, ecosystems, climate and observation.
14 articles →Transport, energy, infrastructure and engineered systems.
11 articles →Change, patterns, feedback and connected systems.
16 articles →Learning, mentoring, evidence and research design.
6 articles →From reading to doing
Interactive models, mathematics practice, and bilingual teaching resources.
