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Techniques for maximizing and minimizing |
24/03/2009 - 16:24 |
12 years 20 weeks ago |
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Techniques for obtaining estimates |
02/04/2009 - 11:52 |
12 years 17 weeks ago |
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Techniques for proving inequalities |
10/12/2008 - 01:44 |
12 years 20 weeks ago |
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The second-moment method |
28/03/2009 - 17:23 |
12 years 17 weeks ago |
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The tensor power trick |
10/12/2008 - 00:08 |
12 years 2 weeks ago |
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The van der Corput lemma for equidistribution |
21/04/2009 - 00:32 |
12 years 16 weeks ago |
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The van der Corput lemma for oscillatory integrals |
21/04/2009 - 00:42 |
12 years 16 weeks ago |
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Think about the converse |
25/03/2009 - 12:13 |
12 years 20 weeks ago |
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Think axiomatically even about concrete objects |
26/04/2009 - 13:55 |
11 years 9 weeks ago |
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To calculate a contour integral, use theorems rather than direct calculation |
01/05/2009 - 18:21 |
12 years 15 weeks ago |
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To calculate an infinite sum exactly, try antidifferencing |
27/04/2009 - 22:23 |
12 years 16 weeks ago |
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To compute covariance, use bilinearity |
26/04/2009 - 03:52 |
12 years 16 weeks ago |
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To compute probabilities of unions and intersections, use the inclusion-exclusion formula |
12/05/2009 - 16:37 |
11 years 16 weeks ago |
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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 |
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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 |
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To construct exotic functions, use limiting arguments |
25/03/2009 - 18:24 |
12 years 13 weeks ago |
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To construct exotic sets, use limiting arguments |
15/05/2009 - 14:32 |
12 years 13 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 - 15:58 |
12 years 14 weeks ago |
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To evaluate an integral, differentiate under the integral sign |
24/04/2009 - 16:15 |
12 years 16 weeks ago |
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To factorize n, find a non-trivial square root of 1 mod n |
10/05/2009 - 16:23 |
12 years 14 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 - 16:13 |
12 years 14 weeks ago |
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To find a rational with low denominator near a given real, use continued fractions |
12/05/2009 - 22:32 |
12 years 13 weeks ago |
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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 |
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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 - 18:02 |
12 years 11 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 - 19:36 |
12 years 9 weeks ago |
Tricki