Tricki
a repository of mathematical know-how

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Articlesort icon Created Updated
Techniques for maximizing and minimizing 24/03/2009 - 16:24 12 years 20 weeks ago
Techniques for obtaining estimates 02/04/2009 - 11:52 12 years 17 weeks ago
Techniques for proving inequalities 10/12/2008 - 01:44 12 years 20 weeks ago
The second-moment method 28/03/2009 - 17:23 12 years 17 weeks ago
The tensor power trick 10/12/2008 - 00:08 12 years 2 weeks ago
The van der Corput lemma for equidistribution 21/04/2009 - 00:32 12 years 16 weeks ago
The van der Corput lemma for oscillatory integrals 21/04/2009 - 00:42 12 years 16 weeks ago
Think about the converse 25/03/2009 - 12:13 12 years 20 weeks ago
Think axiomatically even about concrete objects 26/04/2009 - 13:55 11 years 9 weeks ago
To calculate a contour integral, use theorems rather than direct calculation 01/05/2009 - 18:21 12 years 15 weeks ago
To calculate an infinite sum exactly, try antidifferencing 27/04/2009 - 22:23 12 years 16 weeks ago
To compute covariance, use bilinearity 26/04/2009 - 03:52 12 years 16 weeks ago
To compute probabilities of unions and intersections, use the inclusion-exclusion formula 12/05/2009 - 16:37 11 years 16 weeks ago
To compute the probability that exactly k of n events occur, use generalized inclusion-exclusion 12/05/2009 - 22:55 11 years 16 weeks ago
To construct a function with several local constraints, start with simple cases and build from there 24/05/2009 - 09:02 12 years 12 weeks ago
To construct exotic functions, use limiting arguments 25/03/2009 - 18:24 12 years 13 weeks ago
To construct exotic sets, use limiting arguments 15/05/2009 - 14:32 12 years 13 weeks ago
To establish that n is composite, show that Fermat's little theorem does not hold for n 10/05/2009 - 15:58 12 years 14 weeks ago
To evaluate an integral, differentiate under the integral sign 24/04/2009 - 16:15 12 years 16 weeks ago
To factorize n, find a non-trivial square root of 1 mod n 10/05/2009 - 16:23 12 years 14 weeks ago
To find a factor of n, find some m such that (m,n) is not 1 10/05/2009 - 16:13 12 years 14 weeks ago
To find a rational with low denominator near a given real, use continued fractions 12/05/2009 - 22:32 12 years 13 weeks ago
To find the value of a coefficient, do something that kills all the other terms 07/05/2009 - 20:32 12 years 14 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 - 18:02 12 years 11 weeks ago
To make a function less variable without changing it much, compare it with less variable functions 10/06/2009 - 19:36 12 years 9 weeks ago