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    Thread: Pi

    1. #1
      I am become fish pear Abra's Avatar
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      Pi

      Abraxas

      Quote Originally Posted by OldSparta
      I murdered someone, there was bloody everywhere. On the walls, on my hands. The air smelled metallic, like iron. My mouth... tasted metallic, like iron. The floor was metallic, probably iron

    2. #2
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      Arra's Avatar
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      That video was weird. On the subject of pi, you can youtube and find videos of people who have memorized like 600-2000 digits of pi.

    3. #3
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      Quote Originally Posted by Dianeva View Post
      That video was weird. On the subject of pi, you can youtube and find videos of people who have memorized like 600-2000 digits of pi.
      I remember 16
      "Don't kill me. I'm in a dream right now, and if you kill me I'll die in real life too!" -Me, age 5-8, talking to a dinosaur.

    4. #4
      Xei
      UnitedKingdom Xei is offline
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      I love how fast Steve runs in relation to the other kids.

      I now feel like I know everything there is to know about pi.

    5. #5
      Antagonist Invader's Avatar
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      Nothing says 'legit' like cultists in orange robes and traffic cone hats.

    6. #6
      The Programmer Shadow27's Avatar
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      I know 97 digits.

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    7. #7
      Xei
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      I know pi to infinite accuracy so suck on that.
      PhilosopherStoned likes this.

    8. #8
      The Programmer Shadow27's Avatar
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      Quote Originally Posted by Xei View Post
      I know pi to infinite accuracy so suck on that.
      BS

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    9. #9
      Xei
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      4/1 - 4/3 + 4/5 - 4/7 + 4/9 - 4/11 + etc. for however long you like. ;V
      Abra likes this.

    10. #10
      I am become fish pear Abra's Avatar
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      I double like your post, Xei, because in my time zone you posted at 3:14.
      Abraxas

      Quote Originally Posted by OldSparta
      I murdered someone, there was bloody everywhere. On the walls, on my hands. The air smelled metallic, like iron. My mouth... tasted metallic, like iron. The floor was metallic, probably iron

    11. #11
      Xei
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      Shame that, I actually posted it at exactly pi o'clock but the forum's not accurate enough to show it.

    12. #12
      The Programmer Shadow27's Avatar
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      Quote Originally Posted by Xei View Post
      4/1 - 4/3 + 4/5 - 4/7 + 4/9 - 4/11 + etc. for however long you like. ;V
      I didn't know there was a taylor series for pi... cool

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    13. #13
      Rational Spiritualist DrunkenArse's Avatar
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      That's not a Taylor series. Just a standard convergent series. A Taylor series will be a power series.
      Previously PhilosopherStoned

    14. #14
      The Programmer Shadow27's Avatar
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      Quote Originally Posted by PhilosopherStoned View Post
      That's not a taylor series
      Last time I checked it looked like one.
      Last edited by Shadow27; 02-05-2011 at 02:42 AM.

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      Rational Spiritualist DrunkenArse's Avatar
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      Previously PhilosopherStoned

    16. #16
      The Programmer Shadow27's Avatar
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      Sorry my mistake. They look similar.
      It is interesting nonetheless.

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    17. #17
      Xei
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      Well if you think about it, there must be a series for pi of some form or other, otherwise how would it ever be calculated? A decimal is a kind of series after all.

      You were not far off with the Taylor series thing though actually. The above is basically the simplest expression for pi, and it comes from putting x = 1 in the Taylor series of arctanx, and as tan(pi/4) gives 1, the resultant series gives you pi/4; then of course all you need to do is multiply it all by 4 to get pi.
      Shadow27 likes this.

    18. #18
      The Programmer Shadow27's Avatar
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      sweetness , I'm not a major math geek but I love this stuff. The formulas for calculating stuff
      that everybody just does on the calculator. Like Sine/Cosine/Tangent ( taylor series ) and square
      roots ( something similar to long division ). Can't get enough of it

      Do you know if there's a formula for the inverse trig functions?

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    19. #19
      Xei
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      Yeah I know just what you mean, it's pretty awesome when you realise that all of those functions you've been using are just 'infinite polynomials'. It's kind of a watershed moment actually; if you like that kind of stuff then to be honest you'd probably like the stuff that's covered from degree level onwards: there's a dramatic shift in flavour from the basic application stuff you do at school (application of algebra, calculus, etc; essentially just 'doing questions' with the tools you've learned), to much more abstract concepts and the study of objects in their own right, such as Taylor series.

      And sorry, when I said arctan I was probably using a notation you're not familiar with; it simply means 'inverse tangent', so the answer to your question is 'yes'. arccos and arcsin are here:

      Taylor series - Wikipedia, the free encyclopedia

      These are all found by a standard method which I'm guessing you know about already.

    20. #20
      The Programmer Shadow27's Avatar
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      Quote Originally Posted by Xei View Post
      Yeah I know just what you mean, it's pretty awesome when you realise that all of those functions you've been using are just 'infinite polynomials'. It's kind of a watershed moment actually; if you like that kind of stuff then to be honest you'd probably like the stuff that's covered from degree level onwards: there's a dramatic shift in flavour from the basic application stuff you do at school (application of algebra, calculus, etc; essentially just 'doing questions' with the tools you've learned), to much more abstract concepts and the study of objects in their own right, such as Taylor series.

      And sorry, when I said arctan I was probably using a notation you're not familiar with; it simply means 'inverse tangent', so the answer to your question is 'yes'. arccos and arcsin are here:

      Taylor series - Wikipedia, the free encyclopedia

      These are all found by a standard method which I'm guessing you know about already.
      I am familiar with arctan, I just said inverse trig functions to sum up arctan, arcsin, and arccos.

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    21. #21
      Xei
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      Ah okay, cool beans. At school it's normally just written tan^-1.

    22. #22
      The Programmer Shadow27's Avatar
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      yeah I've seen it written all different ways. arctan, tan^-1, inverse tangent, atan.

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