The Open Archive
Posted in Site Stuff on October 15th, 2008
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Well, the results are in… and the winner (with 16 votes) is…
The Community Bestiary!
However, since I’d like to leave the door open for other things than monsters, I’ve decided to combine it with the first runner up (12 votes). Thus, I’m proud to announce…
The Open Archive Community Bestiary
I’ve got a very simple forum set up for the time being at http://toa.asmor.com/forum/
The only things up there for the moment are an introductory area and a place to discuss ironing out the details.
Unfortunately, I’ve got a ton of real analysis homework and I’ve already spent too much time on this…
So… yeah. If I get done early enough I’ll be on later and, if not, try to be civil. 
Posted a topic on the “Ironing it out” section.
Wow! nice job so far and good luck! looks like everyone has got “open” projects on the brain in the RPG blogging community!
Open Game Table is the project I started on Sunday… bizarre.. it’s like our blogger hive mind was working overtime. I only wish I had time to contribute to both projects… maybe I’ll submit my Caretaker creep. or some template conversions I put together..
btw — any plans to submit something to the RPG Bloggers Anthology?
Jonathan’s last blog post..Open Game Table: The 2008 Anthology of Roleplaying Game Blogs
Bugger. Oh well… at least we get to start working on it!
@Jonathan: Thanks for the luck, gonna need it
I don’t have much stuff on here that I think’s particularly good, but I went ahead and submitted 3 posts anyways.
Real analysis homework? Do I spy with my little eye a fellow mathematician? If so, *awesome*.
Are the irrationals dense within the reals?
I have not studied that far yet, so do your own homework, but …
Wolfram’s mathworld (http://mathworld.wolfram.com/Dense.html) tells that (in this case) a set is dense if union of that set and the set of its limit point is the real line.
Hence, it is sufficient to show that for every rational number there is a a sequence of irrational numbers the rational number is the limit point of.
So let r be a rational number and i an arbitrary irrational number. Now for all natural numbers n it is true that (r+i)/n is irrational (show by easy induction if necessary).
The above generates a monotonous and limited sequence, hence it has a limit value (given that closed interval [r, i] or [i, r] is perfect). It follows that r is this limit value.
Since the above applies to all r, it follows that irrationals are dense within reals.
Tommi’s last blog post..Classifying good rules