superprismatic
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Everything posted by superprismatic
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A couple questions, because I get confused when dealing with infinity. I know that for the ant to travel between two points it will have taken infinite steps, since the path can be broken down into more steps without limit. However since the ant needs to keeps walking forever it could also be thought that its path shouldn't have an ending point, but should be infinitely long. How does amount of steps in a finite path compare to the amount of steps in an infinite path? Which type of infinity are we dealing with here?
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What's that Car Talk site have to do with it? The OP clearly states that we do not know the weight of the counterfeit coins except that they all weigh the same and that each weighs an integer number of grams larger than 10. That is the problem we are considering here.
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OK, I'm not very good at doing these things, but I'm game to try! Start 'er up and I'll give it a go.
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Well, you BrainDenners sure got onto this one quickly. I'd like to tell you why I celebrate September 10th each year. I was debugging a subroutine which computed rational approximations of real numbers using continued fractions. I started testing it on things like π and ln(2) when I noticed that one approximation to ln(2) was 253/365. So, I looked up what day of the year that was. What was even more amazing is that this approximation is correct to five significant digits. It also happens that I started working at my wonderful career on that day, September 10th!
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Can anyone determine why I celebrate September 10th as ln(2) day?
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That's a very pretty recursion! It's a new one to me. Thanks, that'll give me something with which to experiment.
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That's pretty sophisticated. I can't top that. You're the master!
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You're one of the few Same as fabpig, you knew 'cause you figured out how!
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The most enjoyable part of this puzzle is trying to figure out why I said Fabpig was right. Just try to figure out his logic.
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Fabpig's got it!
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In that case, there are 102 of them.
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Determine the missing term in this sequence: 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,?,1,1,1
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With this restriction, there are still 222 of them!
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I just checked this with my program. I get the same results. Thus, k-man has successfully repaired a nice little problem!
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What about the answer sequence YNYYNYNNNN? There are 10 arrangements (T=Truth Teller, R=Random Speaker) which give this answer: TTRTTRTRTRR TTRTTRTRRTR TTRTTRRTRTR TTRTTRTRRRT TTRTTRRTRRT TTRTTRRRTRT RTRTTRTRTRT TTRRTRTRTRT RRTTTRTRTRT TTRRRTTRTRT So, a Truth Teller cannot be identified here. Am I missing something?
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