#math - Sun 22 Apr 2007 between 23:38 and 23:53

NY Lost Funds



OlatheDinner is overrated.
WILDSTYLEThe striploin I just ate was quite delicious actually.
TRWBWstriploin? is that some foreign word for what? skirt steak?
WILDSTYLEskirt steak?
Olatheword ?
Calehttp://en.wikipedia.org/wiki/Strip_steak
moeSizlakhow in the everloving name of god do you integrate sin(x)*cos(x) ???????????
CalemoeSizlak: -(1/2) cos(x)^2
WILDSTYLEThank you cale :)
moeSizlakwhat method is that/?
TRWBWmoeSizlak: what's sin(a+b)?
OlathemoeSizlak: Substitution.
kilimanjarolet u = sin x, du = cos x dx
TRWBWmoeSizlak: Cale is right, but you can do it more than one way
moeSizlakok, so then you have the integral of u*du ?
OlatheYes.
moeSizlakisnt that like ln u or comething?
OlatheNope.
kilimanjaro1/2 u^2
moeSizlakwhat is it?
oh yeah
kilimanjaromoeSizlak, you might want to practice finding derivatives
moeSizlakdamn, im taking mth 411 probability theory, but i forgot all the lame integral bs from 1st semester
kilimanjaroat some point this should just be reflex
what do you need integrals for? infinite probability spaces?
moeSizlaktriple integrals actually
TRWBWmoeSizlak: don't piss off the integral god
moeSizlakexpected values of 3 random variables
kilimanjaroahh
continuous I guess
CaleYou can play "guess the antiderivative", but when you get tired of that, substitution or integration by parts works well.
moeSizlakprobability x<y<z (where x y z are r.v.;s)
noway-TRWBW, since f is a bijection then by def. there must be an a such that f(a) = p
CalemoeSizlak: For instance, you can use integration by parts -- integral of sin(x) cos(x) dx = integral of sin(x) sin'(x) dx = sin^2(x) - integral of sin'(x) sin(x) dx
So 2 integral of sin(x) sin'(x) = sin^2(x)
so integral of sin(x) sin'(x) = sin^2(x)/2
(up to a constant term)
TRWBWnoway-: that's the whole point. it's a proof by contradiction.
moeSizlakwhat is the expected number of unique birthdays in a group of 25 random people?
narglower than you'd think

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