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>> No.12105706 [View]
File: 825 KB, 850x868, The-small-world-graph-with-3000-nodes-and-15-000-edges-laid-out-using-each-of-the-three.png [View same] [iqdb] [saucenao] [google]
12105706

>>12105589

>> No.11806479 [View]
File: 825 KB, 850x868, 1540655052188.png [View same] [iqdb] [saucenao] [google]
11806479

>>11806470

Network distribution. You're all wrong. Giant node versus outlying wallet. These [points to slide] are connectivity graphs. What we have in Bitcoin is, as we get more and more connectivity, we get more and more reachability. This is how it actually works. What we have in Bitcoin is not all these other things where people are talking about "power-law", "scale free", et cetra. They are not Bitcoin because Bitcoin was always economic.

Any node gets more connectivity over time. That is part of the protocol. The bigger your node is, the bigger the number of connection pools. If you run a Raspberry Pi, you are cutting yourself off from most of the network. In graph theory, it is not how many vertices, it is the edges that matter. It is the connectivity between the graph that matters. So, you're all getting it wrong.

Very simple: you don't do node count. Node count is shit. It has zero relevance. Read the mathematics. Zero.

That [points to slide labeled "semi-complete ring"] is Bitcoin. That is the actual model of Bitcoin. Those gray areas in the middle, that is the connectivity between the main nodes. It is that dense. There's a distance in bitcoin of d = 1.32.

Later this year, I'm not sure how we're going to do it, but we're going to start releasing data. I'm not sure how because we have petabytes.

[Points to another slide with same title] That is also part of it. It is bigger than a small world model. It is not anything that people are talking about. It is not a mesh. You send one transaction in 2.3 seconds, once it hits the network, 99.98% of the hash power has your transaction.

It can take 25 seconds to get to 99% of the network, but it's the hash power that matters. Who gives a rat if your little Raspberry Pi gets it late? You're not going to put it in a block any way. If you don't have it in a block, it isn't part of Bitcoin. That's drilling into that network.

>> No.11799767 [View]
File: 825 KB, 850x868, 1542507271969.png [View same] [iqdb] [saucenao] [google]
11799767

Nice

>> No.11787382 [View]
File: 825 KB, 850x868, 1516218075549.png [View same] [iqdb] [saucenao] [google]
11787382

>>11787377

Network distribution. You're all wrong. Giant node versus outlying wallet. These [points to slide] are connectivity graphs. What we have in Bitcoin is, as we get more and more connectivity, we get more and more reachability. This is how it actually works. What we have in Bitcoin is not all these other things where people are talking about "power-law", "scale free", et cetra. They are not Bitcoin because Bitcoin was always economic.

Any node gets more connectivity over time. That is part of the protocol. The bigger your node is, the bigger the number of connection pools. If you run a Raspberry Pi, you are cutting yourself off from most of the network. In graph theory, it is not how many vertices, it is the edges that matter. It is the connectivity between the graph that matters. So, you're all getting it wrong.

Very simple: you don't do node count. Node count is shit. It has zero relevance. Read the mathematics. Zero.

That [points to slide labeled "semi-complete ring"] is Bitcoin. That is the actual model of Bitcoin. Those gray areas in the middle, that is the connectivity between the main nodes. It is that dense. There's a distance in bitcoin of d = 1.32.

Later this year, I'm not sure how we're going to do it, but we're going to start releasing data. I'm not sure how because we have petabytes.

[Points to another slide with same title] That is also part of it. It is bigger than a small world model. It is not anything that people are talking about. It is not a mesh. You send one transaction in 2.3 seconds, once it hits the network, 99.98% of the hash power has your transaction.

It can take 25 seconds to get to 99% of the network, but it's the hash power that matters. Who gives a rat if your little Raspberry Pi gets it late? You're not going to put it in a block any way. If you don't have it in a block, it isn't part of Bitcoin. That's drilling into that network.

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