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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.

3 votes

Examples of theorems where numerical bounds on $\pi$ played a role

I post this answer because it gives a the necessary lower bound for $\pi$ coming from harmonic analysis. In particular H. Helson in his article "Hankel forms" asked if there exists an analogue of Neha …
an_ordinary_mathematician's user avatar
1 vote

What are examples of good toy models in mathematics?

Often homogeneous trees (connected acyclic graphs such that each vertex has the same valence) are considered a good toy model for real hyperbolic space. Consider for example the behaviour of the heat …