TED Conversations

This conversation is closed. Start a new conversation
or join one »

Piece of cake

PI isnt really an infinite quanity.PI is a circular boundary in a two dimensional plane.Very limited within still more limits.

If you were to draw a cirlce and have a 4 year old child trace their finger around the perimeter until they came to the end and got them started it does not take long before they exclaim-there is no end.

This is the type of insght a super computer cannot master yet.It follows the instrucion to find the end of a continuos line endlessly and never reaches a conclusion.

The vexing question I have is whether or not the PI ratio and its infinite non repeating digit quality hold significance outside of the boundary of circular two dimension plane.A commutation of its infinite ratio property outside of its border and dimensional boundaries if you will.

Is there a quick shortcut to what Im looking for on this one?The 4 year couldnt help and neither could the computer.

0
Share:

Showing single comment thread. View the full conversation.

  • Sep 17 2012: e^(pi i) = -1

    If you are looking for the significance of pi, this equation might be of interest to you. This link provides a mathematical explanation: http://www.math.toronto.edu/mathnet/questionCorner/epii.html

    The number e was developed completely independently of the value of pi. I think this relationship must have come as a big surprise to whoever first discovered it.

    ------------------------------
    Addition: This equation is known as Euler's Identity:

    " http://en.wikipedia.org/wiki/Euler's_identity "
    • Sep 18 2012: Euler's identity says that e^(xi) is the same as cos(x)+isin(x) (which is evident when you see their derivatives behave the same way) and of course cos(x)+isin(x) is nothing more than a representation of a point x on a circle (where one of the axes is mutliplied by i, to make it the complex unit circle), making it not very surprising that plugging in x=pi gives a special answer. It's still a beautiful formula though.
    • Sep 19 2012: Personally I dont see the beauty in it but I may not fully understand it.

      How about a circle of one dimension with a particle inside...

      http://en.wikipedia.org/wiki/Particle_in_a_ring
    • Sep 19 2012: If all the money in the world was equal to M then

      M+infinity=infinity

      Unless its Canadian money :)

Showing single comment thread. View the full conversation.