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Techniques for maximizing and minimizing |
24/03/2009 - 15:24 |
11 years 44 weeks ago |
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Techniques for obtaining estimates |
02/04/2009 - 10:52 |
11 years 40 weeks ago |
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Techniques for proving inequalities |
10/12/2008 - 00:44 |
11 years 43 weeks ago |
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The second-moment method |
28/03/2009 - 16:23 |
11 years 41 weeks ago |
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The tensor power trick |
09/12/2008 - 23:08 |
11 years 25 weeks ago |
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The van der Corput lemma for equidistribution |
20/04/2009 - 23:32 |
11 years 40 weeks ago |
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The van der Corput lemma for oscillatory integrals |
20/04/2009 - 23:42 |
11 years 40 weeks ago |
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Think about the converse |
25/03/2009 - 11:13 |
11 years 44 weeks ago |
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Think axiomatically even about concrete objects |
26/04/2009 - 12:55 |
10 years 33 weeks ago |
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To calculate a contour integral, use theorems rather than direct calculation |
01/05/2009 - 17:21 |
11 years 38 weeks ago |
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To calculate an infinite sum exactly, try antidifferencing |
27/04/2009 - 21:23 |
11 years 39 weeks ago |
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To compute covariance, use bilinearity |
26/04/2009 - 02:52 |
11 years 39 weeks ago |
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To compute probabilities of unions and intersections, use the inclusion-exclusion formula |
12/05/2009 - 15:37 |
10 years 40 weeks ago |
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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 |
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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 |
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To construct exotic functions, use limiting arguments |
25/03/2009 - 17:24 |
11 years 36 weeks ago |
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To construct exotic sets, use limiting arguments |
15/05/2009 - 13:32 |
11 years 36 weeks ago |
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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 |
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To evaluate an integral, differentiate under the integral sign |
24/04/2009 - 15:15 |
11 years 39 weeks ago |
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To factorize n, find a non-trivial square root of 1 mod n |
10/05/2009 - 15:23 |
11 years 37 weeks ago |
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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 |
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To find a rational with low denominator near a given real, use continued fractions |
12/05/2009 - 21:32 |
11 years 37 weeks ago |
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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 |
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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 |
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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 |
Tricki