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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.
There already exists (an extremely low-traffic) mailing list with that mission: etjaynesstudy@yahoogroups.com
Note that the objection that an existing mailing list would be populated by people who have not been exposed to Eliezer's writings on rationality does not apply here because (1) the current population consists of only a handful of people and (2) what I have seen of the current population over the last 3 or 4 years is that it consists mostly of a few people posting (relevant) faculty positions and conference announcements and experts in Bayesian statistics.