Trickia repository of mathematical know-how
Analysis
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- To construct a function with several local constraints, start with simple cases and build from there
- To construct exotic sets, use limiting arguments
- To make a function less variable without changing it much, compare it with less variable functions
- To prove that a set is open or closed, use basic theorems rather than direct arguments
- To represent one object as combinations of another, try averaging the latter object using the symmetries of the former
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