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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.

7 votes

Counterexamples in PDE

Lewy's example and most other allied examples of non-solvable operators have only complex coefficients. Leaving open the question of unsolvable operators with real coefficient. F.Treves in 1962 has co …
5 votes
5 answers
3k views

Easy and Hard problems in Mathematics [closed]

Modified question: I would like to know some examples of problems in Mathematics, for pedagogical purposes, which do not involve difficult techiques to solve the problem but with a change of context …
8 votes

Excellent uses of induction and recursion

1)Proof of Euler's formula, V-E+F=2, with induction on F (number of faces). 2)Backward induction proof of generalized AM-GM inequality. 3)Proof of Heine-Borel theorem using Transfinite Topological …
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