TRWBW | progek: np progek: last hint, unless you do something bad, you should turn that into a quadratic |

progek | so something like ax2+bx+c = # ? |

TRWBW | progek: where #=0, yes |

bsmntbombdood | what is a function that is the sum of sinosoids called? |

TRWBW | bsmntbombdood: unclear, if they of the same frequence you get another sinusoid |

bsmntbombdood | not neccisarily the same frequenc y |

progek | sorry for so much trouble on a simple question. I can solve quadratics once set up but I cannot seem to transform that into a quatratic equation. I know (x+2)(x-2) would cause (x2 - 4) but I don't know how to use the miles. oh wait |

clarity_ | can all mutually dependent events be shown by one example |

progek | I might have it |

TRWBW | progek: multiply both sides by that, get 5(x^2-4)=12*(x+2)+12*(x-2) |

clarity_ | what i mean is... like with group theory all groups are bijective to a permutation group |

t35t0r | %2+2 |

clarity_ | i'm trying to think of the sample space for this example but i don't know that much about probability |

TRWBW | clarity_: you can abstract probability as a set with a measure over it, and events as subsets of that set |

clarity_ | what do you mean measure |

TRWBW | clarity_: a mapping from subsets of the probability space to numbers >=0, i.e. Pr(X). clarity_: with some properties, lookup "measure" clarity_: basically the same properties you would want an integral to have |

bsmntbombdood | is it possible to convert a function of the form \sum_i a_i \sin (b_i x + c_i) into the form \sum_i a_i \sin (b_i x) ? |

TRWBW | bsmntbombdood: nope. you can't turn sin(x+pi/2) into a multiple of sin(x) |

progek | ok I got 5x^2 - 20 = 12x + 24 + 12x - 24. After turning it into a quadratic equation I got-> 5x^2-24x-20=0 do I have that right? |

clarity_ | hrm, so that's the same as listing all the elements in the set and saying "they all have equal probability" and assigning each one the probability 1/n right? |

TRWBW | bsmntbombdood: you can however turn it into a sum of a_i*sin(b_i x)+c_i*cos(b_i *x) |

clarity_ | that would be the measure function? |

TRWBW | clarity_: yes, but it handles things like infinite sample spaces, like picking a random point in a square |

clarity_ | ah, i'm not that advanced yet |

TRWBW | clarity_: the measure function would be the sum over the set of the probability of individual elements clarity_: in the infinite case, some kind of interval |

clarity_ | so is there a relation between mutual independence and the measure function? perhaps that's where i'm getting confused |

TRWBW | clarity_: well independence is then defined as Pr(A intersect B)=Pr(A)*Pr(B) |

clarity_ | i understand the dependence means that one event depends on the other one hrm |

TRWBW | clarity_: in the formulation i'm talking about, that's the *definition* of independence, simply that the formula works progek: not sure, i think let me do it. 5(x^2-4)=12*((x+2)+(x-2))=12*2x=24x progek: so 5*x^2-24x-20=0 |