A stopped clock is perfectly correct twice a day. A clock which is consistently X seconds fast/slow is never perfectly correct.
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Replying to @MaskOfFace
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@MaskOfFace However, a stopped clock is, in general, uncorrelated with the actual time.1 reply 0 retweets 3 likes -
Replying to @MoralOfStory
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@MaskOfFace wanted: a clock function which returns the actual time arbitrarily often while remaining uncorrelated with it.1 reply 0 retweets 2 likes -
Replying to @MoralOfStory
@moralofstory Set a clock to run at K times the speed of a regular clock, where K is any irrational real number.1 reply 0 retweets 0 likes -
Replying to @MaskOfFace
@moralofstory This will result in |2*(1-K)| moments of perfect correctness per day.1 reply 0 retweets 0 likes -
Replying to @MaskOfFace
@moralofstory Notes: -K can be negative. -As K->1, it takes longer for uncorrelatedness to become obvious. -Most real clocks are like this.2 replies 0 retweets 2 likes -
Replying to @MaskOfFace
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@MaskOfFace but T' = K * T is a correlation! K is easily deduced from comparing T and T'.1 reply 0 retweets 0 likes -
Replying to @MoralOfStory
@moralofstory@MaskOfFace not if you calculate modulo something, in fact, that's how linear congruential generators work.1 reply 0 retweets 0 likes -
Replying to @ValueOfType
@ValueOfType@MaskOfFace LCGs can be reversed (with enough samples). e.g. https://media.blackhat.com/us-13/US-13-Soeder-Black-Box-Assessment-of-Pseudorandom-Algorithms-WP.pdf …1 reply 0 retweets 0 likes
@moralofstory @MaskOfFace yes, random variables can have mutual information while being uncorrelated
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