上个月，我审查了意大利物理学家Giovanni Santostasi首次提出的Power Law模型。回想一下，将比特币价格的对数与时间对数进行回归，这会产生紧密的贴合性，这与遵循权力法的比特币价格一致。
Bitcoin addresses follow a power law, just like the price and time. This means that the number of bitcoin addresses increases over time at a rate that is proportional to the total number of addresses. This is consistent with the idea that bitcoin is a network technology, and the value of the network increases with the size of the network.
比特币地址遵循权力法，就像价格和时间一样。这意味着比特币地址的数量随着时间的推移增加，与地址总数成正比。这与比特币是一种网络技术的想法一致，并且网络的价值随着网络的规模而增加。
There are several ways to measure the size of a network. The traditional method is to use the number of nodes on the network. In the case of Bitcoin, a full node is a bitcoin machine that keeps a copy of the full blockchain on disk and validates all transactions as they propagate through the network. However, Giovanni uses a broader notion of the network, with a bitcoin address as the node and transactions between addresses as links. This more generalized approach will have many more nodes, since the number of bitcoin addresses is theoretically infinite. Anyone can create a bitcoin address in a permissionless way by generating a public-private key pair.
有几种测量网络大小的方法。传统方法是使用网络上的节点数量。就比特币而言，完整节点是一台比特币机器，可在磁盘上保留完整区块链的副本，并在通过网络传播时验证所有交易。但是，乔瓦尼（Giovanni）使用该网络的更广泛的概念，比特币地址作为节点和地址之间的交易作为链接。这种更广泛的方法将具有更多的节点，因为从理论上讲，比特币地址的数量是无限的。任何人都可以通过生成公私密钥对来以无许可的方式创建比特币地址。
Using bitcoin addresses as nodes has consequences that need to be carried in mind. There are some behaviors that increase bitcoin addresses without actually increasing bitcoin adoption. For example, suppose a single user with 10 bitcoins in a single address sends that bitcoin to 10 addresses that he controls, with one bitcoin each. This would not increase bitcoin adoption, but would increase the number of addresses. Similarly, using a mixing service that recycles bitcoin by sending it to new addresses would also not represent an increase in the usage of the network, but would technically increase the size of the network if it is measured in addresses.
使用比特币地址作为节点的后果需要牢记。有些行为可以增加比特币地址，而不会实际增加比特币的采用。例如，假设单个地址中有10个比特币的单个用户将该比特币发送到他控制的10个地址，每个地址都有一个比特币。这不会增加比特币的采用，但会增加地址的数量。同样，使用将比特币发送到新地址来回收比特币的混合服务也不代表网络使用情况的增加，但如果在地址中测量网络，则可以从技术上增加网络的大小。
Aside from edge cases like these, the number of addresses should be a rough proxy for the usage of bitcoin. The relationship may not be one-to-one, but it should be in the right direction, where more usage of the Bitcoin network leads to more bitcoin addresses over time.
除了这样的边缘案例外，地址的数量应该是使用比特币的粗略代理。这种关系可能不是一对一的，但是应该朝着正确的方向发展，随着时间的流逝，更多使用比特币网络会导致更多的比特币地址。
