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Just-do-it proofs
Building examples with given properties
Existence proofs
Finding subsets front page
Greedy algorithms
How to use the continuum hypothesis
If you are getting stuck, then try to prove rigorously that your approach cannot work
To construct exotic sets, use limiting arguments
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Try to prove a stronger result
Use self-similarity to get a limit from an inferior or superior limit.
Prove a consequence first
Lower degree by increasing dimension (or vice-versa)
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Mapped Quadrature
Transform equation to reach a solved pattern
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