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Author Topic: [JAVA] Calculate Pi!  (Read 23602 times)

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Offline Tomcat

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Re: [JAVA] Calculate Pi!
« Reply #45 on: November 14, 2005, 09:01:58 pm »
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
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Offline Sidoh

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Re: [JAVA] Calculate Pi!
« Reply #46 on: November 14, 2005, 09:10:53 pm »
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):





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Offline MyndFyre

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Re: [JAVA] Calculate Pi!
« Reply #47 on: November 14, 2005, 09:42:24 pm »
I don't see how e can be the sum of 1/n! from 0 to infinity.  1/0! = 1/0 = undefined.
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Offline d&q

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Re: [JAVA] Calculate Pi!
« Reply #48 on: November 15, 2005, 03:11:17 pm »
Wrong  :-*! 0! = 1.
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Offline Sidoh

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Re: [JAVA] Calculate Pi!
« Reply #49 on: November 15, 2005, 03:55:16 pm »
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Offline MyndFyre

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Re: [JAVA] Calculate Pi!
« Reply #50 on: November 15, 2005, 05:09:34 pm »
Quote from: Deuce on November 15, 2005, 03:11:17 pm
Wrong  :-*! 0! = 1.
Oh yeah that's right.  *reaches back 3 years* I remember arguing over that with my calculus teacher.  He won.
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Quote from: Joe on January 23, 2011, 11:47:54 pm
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Offline Sidoh

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Re: [JAVA] Calculate Pi!
« Reply #51 on: November 15, 2005, 10:16:08 pm »
Quote from: MyndFyre[x86] on November 15, 2005, 05:09:34 pm
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. :)
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Offline d&q

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Re: [JAVA] Calculate Pi!
« Reply #52 on: November 15, 2005, 10:41:44 pm »
Basically, its that you can only arrange nothing in one way.
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Offline Sidoh

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Re: [JAVA] Calculate Pi!
« Reply #53 on: November 15, 2005, 11:28:42 pm »
Quote from: Deuce on November 15, 2005, 10:41:44 pm
Basically, its that you can only arrange nothing in one way.

Makes perfect sense. :)
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Offline iago

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Re: [JAVA] Calculate Pi!
« Reply #54 on: November 16, 2005, 03:12:22 pm »
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?
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Offline Hitmen

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Re: [JAVA] Calculate Pi!
« Reply #55 on: November 16, 2005, 03:17:12 pm »
Quote from: iago on November 16, 2005, 03:12:22 pm
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 :)
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Offline rabbit

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Re: [JAVA] Calculate Pi!
« Reply #56 on: November 16, 2005, 04:59:02 pm »
Actually, if either could reach infinity, neither would be faster.
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Offline d&q

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Re: [JAVA] Calculate Pi!
« Reply #57 on: November 16, 2005, 05:10:24 pm »
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
« Last Edit: November 16, 2005, 05:12:02 pm by Deuce »
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Offline Sidoh

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Re: [JAVA] Calculate Pi!
« Reply #58 on: November 16, 2005, 06:48:08 pm »
No number set will ever reach infinite.  Infinite isn't a value, it's a concept.
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Offline d&q

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Re: [JAVA] Calculate Pi!
« Reply #59 on: November 16, 2005, 08:43:25 pm »
Not reach infinite, be infinite.  :o
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