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zuzatm

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I was an intern in FB in 2010 and I distinctly remember getting this email. My full-time buddies, some of which included very senior engineers who often work with Mark, mentioned the got the shivers when they saw the title and thought they just got booted :)

Minor comment: the improvement over the state-of-the-art is in the second order term of the exponent.

Their formula express det. with B_n = exp( n ln n - n lnln n - O(n)) terms.

The old formula had exp(n ln n - O(n)) terms.

It's a nice bound, but won't change much for non-theoretical results.

I don't know why, but I find watch mechanics super fascinating.

Few favorites for people with spare time (and lots of money if one wants to buy these):

Tourbillon: a watch complication where the main mechanism is mounted on a rotating wheel so that gravity doesn't affect the watch in a single direction.

Spring drive: A very recent mechanism that produces a perfect sweeping motion of the seconds hand. It combines both mechanical power (no battery) with a quartz crystal in a super cool way.

Minute repeater: a mechanical way for a blind person to tell the time.