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HOW TO FIX PI - Printable Version

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+---- Thread: HOW TO FIX PI (/showthread.php?tid=1898)

HOW TO FIX PI - Kíeros - 09-19-2016

Let's say that for some reason, you are in a chat with a robot which has redefined all of math. For instance,
  • pi = "fucking"
  • e = 3
  • sin = infinity
  • cos = [3, 4.33, "meowing"]
  • exp = ["e", "x", "p"]
  • infinity = 2
  • NaN = 10
  • false = true
  • OR JUST ANYTHING = "all star"
Thankfully, all the numbers work and so do all the basic functions. How then, can you fix (some of) mathematics? Fear not, with this simple guide, you too, can fix a large portion of important math.

  1. pi=4*(.5!)^2
  2. sqrt(x)=x^.5
  3. i=sqrt(-1)
    • (OPTIONAL, if re isn't screwed up.) i=i-re(i)
  4. e=(i^i)^(-2/pi)
  5. exp(x)=e^x
  6. sin(x)=(exp(i*x)-exp(-i*x))/(2*i), cos(x)=.5*(exp(i*x)+exp(-i*x))
  7. tan(x)=sin(x)/cos(x), cot(x)=cos(x)/sin(x), sec(x)=1/cos(x), csc(x)=1/sin(x)
    • Assuming you have atan2 and it isn't screwed up (or you have arg, which is the same), you can fix all inverse trig
  8. atan(x)=atan2(x,1) OR atan(x)=arg(1+x*i)
  9. asin(x)=atan(x/sqrt(1-x^2)), acos(x)=atan(sqrt(1-x^2)/x)
  10. acot(x)=atan(1/x), asec(x)=acos(1/x), acsc(x)=asin(1/x)
    • If you have any inverse hyperbolic function or the natural logarithm, you can get all these functions back too:
  11. asinh(x)=acosh(sqrt(x^2+1)), acosh(x)=asinh(sqrt(x^2-1))
  12. atanh(x)=asinh(x/sqrt(1-x^2)) OR acosh(1/sqrt(1-x^2))
  13. asinh(x)=atanh(x/sqrt(1+x^2)), acosh(x)=atanh(sqrt(x^2-1)/x)
  14. log(x)=asinh((x^2-1)/(2*x)) OR acosh((x^2+1)/(2*x)) OR atanh((x^2-1)/(x^2+1))
  15. atanh(x)=.5*log((1+x)/(1-x)), acosh(x)=.5*log((x+1)/(x-1))


RE: HOW TO FIX PI - a52 - 09-20-2016

I'll make sure to define ! next time.

RE: HOW TO FIX PI - Kíeros - 09-20-2016

Unfortunately, ! is not a valid variable name (along with all the other basic mathematical functions like +, -, *, /, and ^), which is why this is definition-proof.

RE: HOW TO FIX PI - ☆ C.H.W.O.K.A ☆ - 09-20-2016

sqrt is though

RE: HOW TO FIX PI - Sruixan - 09-20-2016

yeah sqrt was 2 at one point

and then it was ^-2

and then sqrt(x) returned 2^-x for a bit

it was fun

RE: HOW TO FIX PI - SeaWyrm - 09-20-2016

Hello, do you have a few moments?
I'd like to talk to you about Tau.

RE: HOW TO FIX PI - ☆ C.H.W.O.K.A ☆ - 09-20-2016

(09-20-2016, 01:07 AM)SeaWyrm Wrote: »Hello, do you have a few moments?
I'd like to talk to you about Tau.

tau="all star"

RE: HOW TO FIX PI - Kíeros - 09-20-2016

(09-20-2016, 01:07 AM)SeaWyrm Wrote: »Hello, do you have a few moments?
I'd like to talk to you about Tau.
I mean, it also had Tau defined, but that got killed quickly too. And since pi is only used for one thing, whether it's 2/pi or 4/tau really makes no real difference.

RE: HOW TO FIX PI - a52 - 09-20-2016

pi=4*(.5!)^2 is really cool, though
The fact that you can derive all this from semi-elementary operations is one of the reasons I love math so much.

But that's not going to stop me from messing with people.

RE: HOW TO FIX PI - Jacquerel - 09-20-2016

there's nothing wrong with the pickle inspector

RE: HOW TO FIX PI - a52 - 09-20-2016

Also: Pi or Tau? I vote tau.

RE: HOW TO FIX PI - SeaWyrm - 09-20-2016

I do believe I have already voted on this issue.

RE: HOW TO FIX PI - Schazer - 09-20-2016

Leave her alone she's already beautiful

RE: HOW TO FIX PI - Loather - 09-25-2016

just take pi to the vet and let them handle it, no need to get blood on your hands

RE: HOW TO FIX PI - Reyweld - 09-25-2016

Quote:PIES (apple, pecan)

fixed.