## #math - Sun 1 Apr 2007 between 03:19 and 03:35

### NY Lost Funds

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