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Had a thought that sqrt(n) to n^2 via n is a vastly more important phenomenon than 0 to 1. sqrt(n) = random walk n = muddling through (filtered random walk) n^2 = network effect This is what things like product-market fit really are.
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Quick math question: if you constrain a random walk so that the system does not respond to impulses in all but a tiny pizza slice, the distance from origin should grow in the slice direction linearly in number of steps, right? n instead of sqrt(n)?
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0 to 1 is a sort of Great Man narrative conceit. You went from nothing to something like a god saying “let there be light!” When you dig into the history of any apparent 0 to 1 qualitative level-up, you invariably find a sqrt(n) to n^2 continuous inflection point story
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It’s on point & on fleek. Crowdsourcing and organic, authentic networked participation yields n^2 value. Initial connections to build that network are indeed random walks. This is a pretty accurate description of how early scipy stuff emerged, then exploded into mainstream.
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