Tricki
a repository of mathematical know-how

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Articlesort icon Created Updated
Techniques for maximizing and minimizing 24/03/2009 - 15:24 11 years 44 weeks ago
Techniques for obtaining estimates 02/04/2009 - 10:52 11 years 40 weeks ago
Techniques for proving inequalities 10/12/2008 - 00:44 11 years 43 weeks ago
The second-moment method 28/03/2009 - 16:23 11 years 41 weeks ago
The tensor power trick 09/12/2008 - 23:08 11 years 25 weeks ago
The van der Corput lemma for equidistribution 20/04/2009 - 23:32 11 years 40 weeks ago
The van der Corput lemma for oscillatory integrals 20/04/2009 - 23:42 11 years 40 weeks ago
Think about the converse 25/03/2009 - 11:13 11 years 44 weeks ago
Think axiomatically even about concrete objects 26/04/2009 - 12:55 10 years 33 weeks ago
To calculate a contour integral, use theorems rather than direct calculation 01/05/2009 - 17:21 11 years 38 weeks ago
To calculate an infinite sum exactly, try antidifferencing 27/04/2009 - 21:23 11 years 39 weeks ago
To compute covariance, use bilinearity 26/04/2009 - 02:52 11 years 39 weeks ago
To compute probabilities of unions and intersections, use the inclusion-exclusion formula 12/05/2009 - 15:37 10 years 40 weeks ago
To compute the probability that exactly k of n events occur, use generalized inclusion-exclusion 12/05/2009 - 21:55 10 years 40 weeks ago
To construct a function with several local constraints, start with simple cases and build from there 24/05/2009 - 08:02 11 years 35 weeks ago
To construct exotic functions, use limiting arguments 25/03/2009 - 17:24 11 years 36 weeks ago
To construct exotic sets, use limiting arguments 15/05/2009 - 13:32 11 years 36 weeks ago
To establish that n is composite, show that Fermat's little theorem does not hold for n 10/05/2009 - 14:58 11 years 37 weeks ago
To evaluate an integral, differentiate under the integral sign 24/04/2009 - 15:15 11 years 39 weeks ago
To factorize n, find a non-trivial square root of 1 mod n 10/05/2009 - 15:23 11 years 37 weeks ago
To find a factor of n, find some m such that (m,n) is not 1 10/05/2009 - 15:13 11 years 37 weeks ago
To find a rational with low denominator near a given real, use continued fractions 12/05/2009 - 21:32 11 years 37 weeks ago
To find the value of a coefficient, do something that kills all the other terms 07/05/2009 - 19:32 11 years 37 weeks ago
To increase the occurrence of a property in a set, try randomly refining that set in a way that favors the property 28/05/2009 - 17:02 11 years 34 weeks ago
To make a function less variable without changing it much, compare it with less variable functions 10/06/2009 - 18:36 11 years 32 weeks ago