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This tag is used to refer to mathematical/probabilistic/statistical modeling questions, usually this tag is used to ask about questions that are related with the mathematical formalism of the model instead of the correctness of a specific model in practice.

5 votes

Unconventional examples of mathematical modelling

You mention the motion of a pendulum as conventional. Perhaps extending to a chaotic double pendulum would serve as a useful contrast:                     Images from minutelabs.          
31 votes

How is differential geometry used in immediate industrial applications and what are some sou...

You might explore the Institute of Geometry at Graz Tech Univ, emphasizing free-form surfaces in architecture, and the Industrial Geometry group at Vienna Tech Univ. Both rely heavily on deep knowledg …
4 votes

Models for graphs representing real-life networks

There is considerable work on modeling automobile traffic flows via directed graphs. One high-level article is Frank Kelly. "The mathematics of traffic in networks." The Princeton Companion to Mat …
Joseph O'Rourke's user avatar
9 votes

What's the name of this geometric mathematical modeling problem?

A supplement to Ian's answer: Here is the largest-area sofa known, due to Gerver: Gerver, Joseph L. (1992). "On Moving a Sofa Around a Corner". Geometriae Dedicata 42 (3): 267–283. (Springer l …
Joseph O'Rourke's user avatar
6 votes
Accepted

Curves similarity metric

If I may just expand upon Suvrit's suggestion, here is an image illustrating the Fréchet distance, the minimum length of a leash allowing a dog and its owner to walk along the two curves without backt …
Joseph O'Rourke's user avatar