How to solve cubic and quartic equations |
29/04/2009 - 19:14 |
*11 years 6 weeks* ago |

If you don't know how to make a decision, then don't make it |
29/04/2009 - 19:20 |
*11 years 16 weeks* ago |

If you are calculating an integral, complex substitutions are not forbidden |
30/04/2009 - 10:14 |
*5 years 5 weeks* ago |

Shift the contour of integration |
30/04/2009 - 18:36 |
*11 years 16 weeks* ago |

As a first approximation, neglect lower order terms |
30/04/2009 - 19:02 |
*11 years 16 weeks* ago |

To show that a group element is non-trivial, show that it has a non-trivial action or image |
30/04/2009 - 19:31 |
*11 years 15 weeks* ago |

If a parameter is generating undesirable boundary terms, try averaging over many choices of that parameter |
01/05/2009 - 00:43 |
*11 years 16 weeks* ago |

Complex analysis front page |
01/05/2009 - 12:57 |
*11 years 15 weeks* ago |

To calculate a contour integral, use theorems rather than direct calculation |
01/05/2009 - 18:21 |
*11 years 16 weeks* ago |

When controlling an oscillatory integral, bump functions and bounded phase corrections are not very important |
02/05/2009 - 00:52 |
*11 years 16 weeks* ago |

If your topological invariant takes integer values, they may well be homology classes in disguise |
02/05/2009 - 09:25 |
*11 years 15 weeks* ago |

Use the compactness and contradiction method to derive finitary quantitative results from infinitary qualitative ones |
02/05/2009 - 19:30 |
*11 years 16 weeks* ago |

How to solve problems about finite groups |
03/05/2009 - 03:37 |
*11 years 16 weeks* ago |

How to solve problems about discrete groups |
03/05/2009 - 03:39 |
*11 years 16 weeks* ago |

Modeling |
04/05/2009 - 13:54 |
*11 years 16 weeks* ago |

Dimensional correctness and scaling |
04/05/2009 - 14:11 |
*11 years 16 weeks* ago |

Applied mathematics |
04/05/2009 - 14:27 |
*11 years 15 weeks* ago |

Numerical analysis front page |
04/05/2009 - 17:45 |
*11 years 15 weeks* ago |

Use Occam's razor |
04/05/2009 - 17:53 |
*11 years 16 weeks* ago |

If an argument looks promising but needs a hypothesis, assume the hypothesis for now but try to remove it later |
04/05/2009 - 21:41 |
*11 years 16 weeks* ago |

A non-trivial circular argument can often be usefully perturbed to a non-circular one |
05/05/2009 - 00:30 |
*9 years 30 weeks* ago |

Irrationality and transcendence front page |
05/05/2009 - 10:44 |
*11 years 16 weeks* ago |

To prove that a number is irrational, show that it is almost rational |
05/05/2009 - 10:44 |
*10 years 27 weeks* ago |

Numerical linear algebra |
05/05/2009 - 13:46 |
*11 years 13 weeks* ago |

Numerical integration and differentiation |
05/05/2009 - 14:13 |
*11 years 16 weeks* ago |