I'm working through Jaynes' /Probability Theory/ (the online version). My math has apparently gotten a bit rusty and I'm getting stuck on exercise 3.2, "probability of a full set" (Google that exact phrase for the pdf). I'd appreciate if anyone who's been through it before, or finds this stuff easy, would drop a tiny hint, rot13'd if necessary.
V'ir pbafvqrerq jbexvat bhg gur cebonovyvgl bs "abg trggvat n shyy frg", ohg gung qbrfa'g frrz gb yrnq naljurer.
V unir jbexrq bhg gung jura z=x (gur ahzore bs qenjf = gur ahzore bs pbybef) gur shyy frg cebonovyvgl vf tvira ol gur trarenyvmrq ulcretrbzrgevp qvfgevohgvba jvgu nyy e'f=1. V'z gelvat gb svther bhg ubj gung cebonovyvgl vapernfrf nf lbh nqq zber qenjf. Vg frrzf gb zr gung ol rkpunatrnovyvgl, gur cebonovyvgl bs n shyy frg jvgu x+1 qenjf vf gur fnzr nf gur cebonovyvgl bs n shyy frg jvgu x, naq bar rkgen qenj juvpu pna or nal pbybe: SF(P1+P2+..+Px) juvpu vf SF.P1+SF.P2+..+SF.Px, juvpu ner zhghnyyl rkpyhfvir gurersber nqq hc.
Nz V ba gur evtug genpx ng nyy ?
How many people here would be interested in forming a virtual book study group, to work through Jaynes ? Some programmer colleagues of mine have done that for SICP and it turns out to be a nice way to study. Strength in numbers and all that.
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So far it seems to be only the two of us, which seems rather surprising. In probabilistic terms, I was assigning a significant probability to receiving N>>1 favorable replies to the suggestion above.
I'm not sure yet how I should update on the observation of only one taker. One hypothesis is that the Open Thread isn't an effective way to float such suggestions, so I could consider a top-level post instead. Another is that all LWers are much more advanced than we are and consider Jaynes' book elementary. What other hypotheses might I be missing ?
Yes, probably it deserves a top-level post, or going outside of this community and advertsing more widely.