Now if we repeat the same event, the impact is much smaller, just 25% of what it is was. Or more formally ...pic.twitter.com/8bcvECcNnu
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That's a better approximation, and the real math is later in the thread, but the main take-away for people to remember is that the bigger the count of nodes relative to the size of the shard .. the better, exponentially so.
Yes and no. Your formula makes it look like increasing the shard size increases the blast radius, but (up to reasonable limits) the exact opposite is true -- as long as shardsize = o(nodes) the blast radius *decreases* exponentially as the shard size increases.
I still haven't even found a great to visualize or graph it that can help people get a feel for the sensitivities. It asymptotes so quickly, but I'd really love to nail a few paragraphs that could help people reason it out.pic.twitter.com/bZ1NXEd7AM
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