[JAVA] Calculate Pi!

[Tomcat]

Yeah I saw something I knew about, and decided to go ahead and post about it.  I didn't read past page 2.  Oops  ;D ;D

[Sidoh]

By the way, e is more formally defined as one of the following (I learned it in Calculus about two months ago, but I'm ripping the images from Wikipedia):

[MyndFyre]

I don't see how e can be the sum of 1/n! from 0 to infinity.  1/0! = 1/0 = undefined.

[d&q]

Wrong  :-*! 0! = 1.

[Sidoh]

Wrong  :-*! 0! = 1.

Hehe, yep

[MyndFyre]

Wrong  :-*! 0! = 1.

Oh yeah that's right.  *reaches back 3 years* I remember arguing over that with my calculus teacher.  He won.

[Sidoh]

x86] link=topic=3640.msg38723#msg38723 date=1132092574]
Oh yeah that's right.  *reaches back 3 years* I remember arguing over that with my calculus teacher.  He won.

Haha.  I don't think I ever remember learning the reasoning behind it.  I just remember learning 0! = 1. :)

[d&q]

Basically, its that you can only arrange nothing in one way.

[Sidoh]

Basically, its that you can only arrange nothing in one way.

Makes perfect sense. :)

[iago]

By the way, here's another math problem: Are there more natural numbers (1, 2, 3, ...) or integers (...., -2, -1, 0, 1, 2, ....)?

For every natural number x, there are two integers, x and -x.  So there are twice as many integers as naturals numbers, plus 1 (for 0).  Right?

[Hitmen]

By the way, here's another math problem: Are there more natural numbers (1, 2, 3, ...) or integers (...., -2, -1, 0, 1, 2, ....)?

For every natural number x, there are two integers, x and -x.  So there are twice as many integers as naturals numbers, plus 1 (for 0).  Right?

Well, there's an infinate number for both, one just gets to infinity slightly faster :)

[rabbit]

Actually, if either could reach infinity, neither would be faster.

[d&q]

There are varying levels of infinity. Numerically, as in counting from 1, 2 ,3, 4 etc, they are infinity, but cardinally, as in {1, 2, 3, ...}, integers are greater. I believe they are alaph numbers..

[Edit]: Whoops, Aleph* Numbers

[Sidoh]

No number set will ever reach infinite.  Infinite isn't a value, it's a concept.

[d&q]

Not reach infinite, be infinite.  :o