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I'm a little confused on your definition or possibly your explanation of why it's an equivalence class. Everyone else, please pardon the jargon. Let X be the set of all addresses. Let's use ~ to denote a relation. I think this is your definition of the relation: Let a,b be in X; a~b if and only if there exists a transaction between a and b. Using this definition, I don't see how it's an equivalence class; specifically, I don't see the reflexive nature or transitive nature of the relation. Let me explain a little. For three addresses, let's assume a~b and b~c. This means that addresses 'a' and 'b' had a transaction and so did addresses 'b' and 'c'. However, this doesn't dictate that addresses 'a' and 'c' had a transaction, so this seems not to be transitive. In addition the relation seems not to be reflexive; I and other's have many addresses that have yet to be used in a transaction. Even if we changed X to be the set of all addresses used in a transaction, not all addresses send coins to themselves (or at least with my understanding of bitcoins, this is not how it works).

This is not a, "you're doing it wrong", type reply. I'm interested in your thoughts, but I think I'm misunderstanding what you're writing. Could you clarify a bit on your definition or how it's and equivalence class? I think it's an interesting idea to involve equivalence classes.

I am going to be traveling to Italy and Costa Rica next year and I was just curious if it's possible to use Bitcoins as a medium of exchange between USD <-> EUR and USD <-> CRC (Costa Rican Colon). I saw an article a few months back where someone was able to exchange US dollars to the Chinese Yuan at a very low rate. I thought it might be possible without knowing a particular individual in the other country. I figure this board would be the best place to find a way.

This link should do it: https://btc-e.com/ixc_exchanger  I didn't try it myself since I didn't want ixcoins or have any to sell. Did you register for the site?

This is the first I've heard of these coins. I looked up where to exchange them. The closest I found was btc-e.com, the ixcoin.org site said they could exchange them. More specifically: https://btc-e.com/ixc_exchanger however, I'm not familiar with the site or the reliability.

Hi, I'm pharcyde. I've been lurking on these forums for a few months now. I'm looking forward to make a few posts of my own.

I upgraded to 0.50 on a mac a week ago. I only had a few bitcoins (0.012), so I had no worries about loosing them. I just installed the new version and then deleted the old one, the coins were in the new version without a hitch. Now that I have bought into bitcoin and have a more coins, I'd be a bit worried about upgrading when a new version comes out. I guess, I should get into the habit of backing up the wallet.dat file and learn to work with it when I need to upgrade to a new version.

Nyte, I've had the same experience that you wrote about. Except now I've finished up and have  16 bitcoins as of a few days ago. What a pain it was! Now, I'm looking around to see what I can do with these coins. I love the idea, but it's like the wild west around here. Sites up one day, then down the next. People offering deals, then disappearing with other people's coins. I'm finding sites that are literally ponzi schemes and they claim it to be too!

I find the whole thing fascinating. Having looked over these forums, I can see that people are making transactions legitimately but it seems like it takes some research. Meanwhile, while I figure out what to do with my coins, I find that they've gone up in value by 10% in the last few days. Not too bad, but who knows what they'll be worth in another year. I hope they keep their value and people starting creating more legitimate and stable sites. I would love for this idea to take off. I saw how it had it's boom and subsequent crash to this point (but it's still higher than it was before the boom). Time will tell what happens to this whole bitcoin thing.