To prove facts about Borel sets, use closure properties |
05/05/2009 - 14:47 |
*11 years 14 weeks* ago |

To make a function nicer without changing it much, convolve it with an approximate delta function |
06/05/2009 - 12:57 |
*11 years 11 weeks* ago |

Approximation front page |
06/05/2009 - 18:39 |
*11 years 16 weeks* ago |

Polynomial approximation front page |
06/05/2009 - 18:42 |
*11 years 16 weeks* ago |

Approximating functions by better behaved functions |
06/05/2009 - 18:48 |
*11 years 11 weeks* ago |

Interpolation and approximation |
07/05/2009 - 12:50 |
*11 years 15 weeks* ago |

To find the value of a coefficient, do something that kills all the other terms |
07/05/2009 - 20:32 |
*11 years 15 weeks* ago |

Approximating continuous structures by discrete structures |
08/05/2009 - 12:31 |
*11 years 15 weeks* ago |

To simplify a closed subset of the plane, approximate it using a grid of squares |
08/05/2009 - 12:46 |
*10 years 3 weeks* ago |

Establish an invariance principle first |
09/05/2009 - 02:59 |
*11 years 15 weeks* ago |

Use the continuity method |
09/05/2009 - 03:02 |
*11 years 15 weeks* ago |

Use conservation laws and monotonicity formulae to obtain long-time control on solutions |
09/05/2009 - 03:18 |
*11 years 15 weeks* ago |

I want to find a non-trivial solution to a system of equations |
09/05/2009 - 18:27 |
*11 years 15 weeks* ago |

Computational number theory front page |
10/05/2009 - 15:40 |
*11 years 15 weeks* ago |

To establish that n is composite, show that Fermat's little theorem does not hold for n |
10/05/2009 - 15:58 |
*11 years 15 weeks* ago |

To find a factor of n, find some m such that (m,n) is not 1 |
10/05/2009 - 16:13 |
*11 years 15 weeks* ago |

To factorize n, find a non-trivial square root of 1 mod n |
10/05/2009 - 16:23 |
*11 years 15 weeks* ago |

To work out powers mod n, use repeated squaring |
10/05/2009 - 16:43 |
*11 years 15 weeks* ago |

Solution of linear equations: direct methods |
11/05/2009 - 13:37 |
*11 years 15 weeks* ago |

LU factorization |
11/05/2009 - 13:52 |
*11 years 15 weeks* ago |

Make your method keep the symmetries of the problem |
11/05/2009 - 14:09 |
*11 years 15 weeks* ago |

Use an approximation as if it were exact |
11/05/2009 - 14:25 |
*11 years 15 weeks* ago |

To compute probabilities of unions and intersections, use the inclusion-exclusion formula |
12/05/2009 - 16:37 |
*10 years 18 weeks* ago |

To find a rational with low denominator near a given real, use continued fractions |
12/05/2009 - 22:32 |
*11 years 15 weeks* ago |

To compute the probability that exactly k of n events occur, use generalized inclusion-exclusion |
12/05/2009 - 22:55 |
*10 years 18 weeks* ago |