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Approximating functions by better behaved functions
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To make a function nicer without changing it much, convolve it with an approximate delta function
Approximating functions by better behaved functions
Create an epsilon of room
Polynomial approximation front page
To make a function less variable without changing it much, compare it with less variable functions
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Littlewood-Paley heuristic for derivative
Geometric view of Hölder's inequality
Diagonal arguments
Finding an interval for rational numbers with a high denominator
Try to prove a stronger result
Use self-similarity to get a limit from an inferior or superior limit.
Prove a consequence first
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