Again think about, we can build a huge big multi-tenant system with lots of customers on it, and still guarantee that there is *no* full overlap between those customers. Just using math. This still blows my mind.
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Now let's expand the choose operator into its factorials ...pic.twitter.com/f0L2ZBGZYw
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When you were about 10 you probably learned the reciprocal of a reciprocal is just to turn it upside down. That's still true. That gives us our final form ...pic.twitter.com/KfL5vELMxy
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In that form it's pretty easy to see that the smaller S is relative to N, that Shuffle Sharding gets dramatically more and more effective! Convinced? I hope so!
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That was my whole talk and it took me longer to tweet it than it did to give it on stage! Go figure. Feel free to AMA. And thanks for reading and making it to the end. Now use Shuffle Sharding anywhere that you can!
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End of conversation
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