Title: Definition: The Satoshi Coefficient Post by: 5EC948A1 on May 27, 2013, 10:17:30 PM The Satoshi Coefficient can be defined as follows:
http://latex.codecogs.com/gif.latex?\LARGE S = \frac{ Hn^2}{E} Where for any time period: H is the hash rate n is the number of hashing nodes in the network E is the energy consumed to sustain the hash rate The Satoshi Coefficient is a value that can be used to rate the quality of a distributed crypto-currency network. Title: Re: Definition: The Satoshi Coefficient Post by: bg002h on May 27, 2013, 11:05:08 PM The Satoshi Coefficient can be defined as follows: http://latex.codecogs.com/gif.latex?\LARGE S = \frac{ Hn^2}{E} Where for any time period: H is the hash rate n is the number of hashing nodes in the network E is the energy consumed to sustain the hash rate The Satoshi Coefficient is a value that can be used to rate the quality of a distributed crypto-currency network. You could raise any term to any power...why pick the ones you did? Title: Re: Definition: The Satoshi Coefficient Post by: 5EC948A1 on May 27, 2013, 11:18:24 PM I chose to follow Metcalfe's Law:
http://en.wikipedia.org/wiki/Metcalfe's_law (http://en.wikipedia.org/wiki/Metcalfe's_law) Title: Re: Definition: The Satoshi Coefficient Post by: WiW on May 27, 2013, 11:23:41 PM You could raise any term to any power...why pick the ones you did? ... used to rate the quality of a distributed crypto-currency network. That way the number of nodes parameter has more weight - to signify a more distributed network. What I'm not getting is what is the energy consumed parameter for? I would switch it for a parameter that tells the mining income, to signify a more competitive network. Throwing in more electricity does not necessarily make the network more or less secure or distributed - an excess of energy output could be spent by either honest miners (better) or dishonest miners (worse). Less profit margin means more competition. Title: Re: Definition: The Satoshi Coefficient Post by: 5EC948A1 on May 27, 2013, 11:28:45 PM I am pleased to provide the first estimate of the Satoshi Coefficient using the following values from Blockchain.info about the Bitcoin Network.
http://blockchain.info/stats (http://blockchain.info/stats) H = 110,559 GH/s (E will be estimated from Blockchain's 650 watts per gigahash) E = 100,559 * 650 = 71,863,350 W/s (n is determined from "nodes connected" at http://blockchain.info/connected-nodes (http://blockchain.info/connected-nodes)) n= 1175 Satoshi Coefficient estimate = 2,124 Title: Re: Definition: The Satoshi Coefficient Post by: 5EC948A1 on May 27, 2013, 11:36:58 PM I think energy is an important part of the coefficient because it is a fundamental way in which we measure work. The Bitcoin network brings together mathematics and energy (work) in an amazing process. I think the Coefficient is a way to try to quantify this in an amazingly simple formula.
Title: Re: Definition: The Satoshi Coefficient Post by: puffpuffpass on May 27, 2013, 11:42:30 PM I think energy is an important part of the coefficient because it is a fundamental way in which we measure work. The Bitcoin network brings together mathematics and energy (work) in an amazing process. I think the Coefficient is a way to try to quantify this in an amazingly simple formula. good job. now go get a life. Title: Re: Definition: The Satoshi Coefficient Post by: odolvlobo on May 27, 2013, 11:42:43 PM What does this number measure? What do you mean by the "quality" of the network? There are a number of criteria that could be used to evaluate the quality of the network, such as the resistance to a 51% attack, the maximum number of transactions, the number of nodes (or n2), or the average time to propagate a transaction, or its energy efficiency (H/E).
Title: Re: Definition: The Satoshi Coefficient Post by: puffpuffpass on May 27, 2013, 11:44:10 PM What does this number measure? What do you mean by the "quality" of the network? There are a number of criteria that could be used to evaluate the quality of the network, such as the resistance to a 51% attack, the maximum number of transactions, the number of nodes (or n2), or the average time to propagate a transaction. stop pretending you care Title: Re: Definition: The Satoshi Coefficient Post by: odolvlobo on May 27, 2013, 11:45:54 PM What does this number measure? What do you mean by the "quality" of the network? There are a number of criteria that could be used to evaluate the quality of the network, such as the resistance to a 51% attack, the maximum number of transactions, the number of nodes (or n2), or the average time to propagate a transaction, or its energy efficiency (H/E). stop pretending you care stop pretending you don't ;) Title: Re: Definition: The Satoshi Coefficient Post by: WiW on May 27, 2013, 11:49:53 PM I think energy is an important part of the coefficient because it is a fundamental way in which we measure work. The Bitcoin network brings together mathematics and energy (work) in an amazing process. I think the Coefficient is a way to try to quantify this in an amazingly simple formula. I still don't see how energy output relates to the quality of such distributed network. If E is high or low, it's because of global electricity prices or hardware efficiency (available globally) respectively. As such, an attacker is usually affected by E as much as honest miners. Title: Re: Definition: The Satoshi Coefficient Post by: 5EC948A1 on May 28, 2013, 12:00:20 AM What does this number measure? What do you mean by the "quality" of the network? There are a number of criteria that could be used to evaluate the quality of the network, such as the resistance to a 51% attack, the maximum number of transactions, the number of nodes (or n2), or the average time to propagate a transaction, or its energy efficiency (H/E). Its a calculated number that just uses simple but important metrics. I would speculate that if there was another network right now with a Satoshi Coefficient of 3,000 it would be beating the Bitcoin Network right now. Yes, that network's coins be more valuable than Bitcoin's. Its just an idea, but I think it shows how the Bitcoin Network should be improved: more hash rate, more hashing nodes and less energy. If you follow this thinking out some, it results in a very interesting substrate. Title: Re: Definition: The Satoshi Coefficient Post by: bg002h on May 28, 2013, 12:16:48 AM So, S=n^2/650 :)
It will be interesting to see if this parameter pops up naturally in some equation somewhere. Title: Re: Definition: The Satoshi Coefficient Post by: 5EC948A1 on May 28, 2013, 12:55:34 AM So, S=n^2/650 :) It will be interesting to see if this parameter pops up naturally in some equation somewhere. Of course I used a value for E that I could obtain quickly (650 from Blockchain.info) to calculate the first ever estimate of the Satoshi Coefficient. In reality, determining E precisely is quite difficult. The interesting aspect to this new coefficient is that it lays the groundwork for a new network to efficiently compete with the Bitcoin Network by focusing on optimizing H,n and E to get a better coefficient than Bitcoin's. However, the Bitcoin Network quite naturally is working to increase its Satoshi Coefficient. In fact, a certain network topology, node feature set and energy source is the logical outcome. I think that's enough info for now, I've already given away valuable information. Enjoy the Satoshi Coefficient. :-) Title: Re: Definition: The Satoshi Coefficient Post by: chriswilmer on May 28, 2013, 01:08:20 AM I like the idea... but I also see the use of energy in this calculation as not particularly meaningful.
As it is, it's more of a measure of energy efficiency than anything. So, let's see, the simplest measure of energy efficiency is hash-rate over energy: S = H/E I think if I were to propose a "distributed quality" coefficient, it would be: S = n^2/H Honestly, I think that's what you wanted. If the hash-power is very concentrated, you will have a very low number. The problem with this coefficient is that it weights all nodes equally. S = (n1*H1 + n2*H2 + n3*H3 + ... ) / H^2 Now that would be much better (every node multiplied by its individual hashing power), although much harder to calculate. |