Approximations never really struck me as amazing coincidences since they all involve arbitrarily truncating the decimal and at the end of the day, no matter how many digits match, there are infinitely more that do not.
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If the digits of, say, pi or e are distributed as if they were random, doesn’t that mean there should be an arbitrarily long but finite sequence of consecutive zeros?
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C'est vraiment remarquable ?
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π = 3.14... ≈ 402/128 = 3.14... π = 3.14... ≈ 405/129 = 3.14... π = 3.14... ≈ 408/130 = 3.14... . . .
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Exactly
So that idea of the 1/127 was STUPID
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What's so special abt sqrt(3) and sqrt(62) though?
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Sqrt(3) is used in power systems engineering because of the three phases.
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I guess you could it with any other fraction?
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It's an approximation and you are free to pick the numerator. You can do this with any number. Not special at all.
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I can take anything and express it in multiples of 1/127 if I get to fudge it with an 'approximately equals' sign.
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