UmbralRaptor changed the topic of #kspacademia to: https://gist.github.com/pdn4kd/164b9b85435d87afbec0c3a7e69d3e6d | Dogs are cats. Spiders are cat interferometers. | Космизм сегодня! | Document well, for tomorrow you may get mauled by a ネコバス. | <UmbralRaptor> egg|nomz|egg: generally if your eyes are dewing over, that's not the weather. | <ferram4> I shall beat my problems to death with an engineer. | We can haz pdf
<kmath>
<DACIWEI1991> Is there any sense in which the (raw) moments of a function are like Taylor coefficients "at infinity" or something… https://t.co/oM8eTZIbms
<mlbaker>
halp
<mlbaker>
i'm pretty sure this is a thing
<mlbaker>
like if you take the semicircle contour whose bottom doesn't quite touch the real axis, but gets closer and closer
<mlbaker>
that thing "goes around infinity"
<mofh>
uuuuuuuuuugh I vaguely recall this being a thing but it's been far too long since I read that paper
<mlbaker>
i think what i should probably do is just
<mlbaker>
hmm
<mlbaker>
okay maybe let me tell you how i got to thinking about this
<mlbaker>
if one has an EGF, say F(z) = \sum a_n z^n/n!
<mlbaker>
and the corresponding OGF, f(z) = \sum a_n z^n
<mlbaker>
then f(z) = z^{-1} L{F}(z^{-1})
<mlbaker>
so the Laplace transform up to some silly corrections essentially turns EGFs into OGFs
<mlbaker>
(i guess maybe the "purer" statement is "turns EGFs into Z-transforms" or whatever)
<mlbaker>
NOW
<mlbaker>
the moment generating function M(t)
<mlbaker>
equals L{f}(–t), where f is the p.d.f.
<mlbaker>
... yet M(t) is the *EGF* of the moments
<mlbaker>
so what is going on here
<mlbaker>
I guess maybe this won't work out quite as symmetrically as I had in mind, since if we set w=1/z, we get dw=-dz/z^2...
<iximeow>
raptop: !! it turns out my telescope is left-sided by ~two degrees!!
<iximeow>
this explains why i always seemed to eyeball alignment wrong...
<UmbralRaptop>
whelp
<WeylandsWings>
iximeow: did you not boresight the finderscope?
<iximeow>
i have two fingerscopes in my head but it's difficult to boresight them
<iximeow>
when i said eyeball i was quite serious
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<egg|cell|egg>
Meow
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<egg|laptop|egg>
!choose sleep|don’t
<galois>
egg|laptop|egg: Your options: sleep, don’t. My choice: don’t