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Bounding probabilities by expectations
Condition on the first thing that happens
Elementary probability front page
Elementary randomized algorithms
Estimating probabilities
How to use martingales
Randomized algorithms front page
Techniques for proving inequalities
The second-moment method
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Littlewood-Paley heuristic for derivative
Littlewood-Paley heuristic
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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