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-   -   What is... (http://zelaron.com/forum/showthread.php?t=43630)

Kaneda 2007-10-16 09:51 PM

Pi could be infinite...? It's been calculated to over 1 trillion places, and I think thats as far as we can get for now. Also, if it isn't infinite then whats half of Pi, it can't be said.

Vollstrecker 2007-10-16 09:56 PM

Quote:

Originally Posted by Kaneda
Pi could be infinite...? It's been calculated to over 1 trillion places, and I think thats as far as we can get for now. Also, if it isn't infinite then whats half of Pi, it can't be said.

Pi cannot be infinite, it is an irrational number, possessing an infinite number of nonrepeating decimal values.

My hands have 10 fingers, but that doesn't make my hands equal to 10.

Demosthenes 2007-10-16 10:34 PM

Quote:

Originally Posted by Kaneda
Pi could be infinite...? It's been calculated to over 1 trillion places, and I think thats as far as we can get for now. Also, if it isn't infinite then whats half of Pi, it can't be said.

Vollstrecker is correct. Pi has an infinite number of digits. But so does the integer '1'. It is 1.000000 (0's repeating), or .9999999999999 (9's repeating). Pi can be halved, and that value can be expressed. It can not be expressed exactly as an irrational number, however it can be expressed as an infinite sum if you integrate a geometric series.

If someone wants the proof to that, I can write that out if they want. It requires knowledge of integral calculus.

Kaneda 2007-10-16 10:42 PM

Eh. I tried.

Grav 2007-10-17 06:34 AM

Quote:

Originally Posted by Kaneda
Pi could be infinite...? It's been calculated to over 1 trillion places, and I think thats as far as we can get for now. Also, if it isn't infinite then whats half of Pi, it can't be said.

Errr... no. Hahahaha!

Kaneda 2007-10-17 01:28 PM

Still if infinity is a concept whos to say .9999999999 couldn't be an example of it?

Grav 2007-10-17 01:57 PM

I'm not sure what you're talking about. PI divided by an integer is very commonly used in trig, for example.

Demosthenes 2007-10-17 02:02 PM

Quote:

Originally Posted by Kaneda
Still if infinity is a concept whos to say .9999999999 couldn't be an example of it?

Because the definition of the concept is entirely different.

-Spector- 2007-10-17 02:09 PM

pi = Circumference of a circle divided by its diameter.

cha! cha!

WW or some programmer write me a quick program that will divide any 2 numbers and will give out infinite digits past the decimal place plz.

Thanks!

Vollstrecker 2007-10-17 04:36 PM

Quote:

Originally Posted by Kaneda
Still if infinity is a concept whos to say .9999999999 couldn't be an example of it?

You cannot have an example of infinity in numerical form because you cannot assign it a value, because once you do it is no longer infinite, it's a specific number.

An irrational number can be an example of infinity in the sense that the decimal values never stop, however the number itself is a specific location on the number line.

If you want to think about it in some terms, think of it like this:
Code:

                                    0    Pi
<------------------------------------|-----|------------------------------>

Pi is still a number on the number line, so it's value is (somewhat) known. Infinity encompasses every point on the number line at the same time, so you could even say that the number line itself would be an example of infinity.

Xenn 2007-10-18 06:22 PM

lim 3.x ≠ ∞
x->∞

If that was a question?


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