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15. Re: Calculating Pi
807587 May 6, 2004 7:51 AM (in response to DrClap)As far as I know there are very few series that converge more slowly to pi than that one.
It would be pretty hard to converge more slowly, given that the term ratio tends to unity. 
16. Re: Calculating Pi
JosAH May 6, 2004 8:04 AM (in response to 807587)A very fast approximation of by was invented by Machin 
where the Taylor expansion of the arctangent function is used.pi/4= 4*atan(1/5)atan(1/239)
Nice little anecdote: in a Dutch Bible in the book of Kings, pi is approximated as "the circumference
equals three times the diameter of a circle". That's written in verse 22:7
kind regards,
Jos 
17. Re: Calculating Pi
JosAH May 6, 2004 8:07 AM (in response to JosAH)A very fast approximation of by was invented by Machin
"of by was"? What nonsense is that? What moron wrote this? I certainly didn't; 't must've been some
glitch in my broadband connection or something ... or a temporary insanity of a keyboard ... but not me. 
18. Re: Calculating Pi
807587 May 6, 2004 11:21 AM (in response to JosAH)pi/4= 4*atan(1/5)atan(1/239)
That's usable, but not "very fast" unless by comparison with atan(1). 
19. Re: Calculating Pi
807587 May 6, 2004 11:47 AM (in response to 807587)
<Homer accent>
Mmmmmm.... pie....
</Homer accent> 
20. Re: Calculating Pi
JosAH May 6, 2004 12:20 PM (in response to 807587)
True, I shouldn't have said "very" fast. Here's a nice link from the MathPages, elaborating a bitpi/4= 4*atan(1/5)atan(1/239)
That's usable, but not "very fast" unless by comparison with atan(1).
on this arctangent Taylor expansion stuff  http://www.mathpages.com/home/kmath373.htm
kind regards,
Jos 
21. Re: Calculating Pi
807587 Oct 16, 2004 9:40 PM (in response to 807587)Hi, umm... I have to do the same assignment for my programming class,
but i have only learned the basic things of java (standalone, loops, selection, etc <but not too much>)
and i am expected to do a program like this,
so is there a MUCH easier way of doing this program
with only loops and simple stuff like that?

22. Re: Calculating Pi
796440 Oct 16, 2004 10:28 PM (in response to 807587)so is there a MUCH easier way of doing this program
The code samples provided so far are about as simple as it comes, and they only use "loops and simple stuff like that."
with only loops and simple stuff like that? 
23. Re: Calculating Pi
807592 Oct 16, 2007 1:54 AM (in response to 796440)I am having trouble doing this with a university prac....
Pi= 4  4/3 + 4/5  4/7 + 4/9  4/11 + ..
Can anyone help out please, i'm not very good at Java.... 
24. Re: Calculating Pi
800282 Oct 16, 2007 2:09 AM (in response to 807592)nick_8188 wrote:
\\
I am having trouble doing this with a university prac....
Pi= 4  4/3 + 4/5  4/7 + 4/9  4/11 + ..
Can anyone help out please, i'm not very good at Java....
No time to waist then:
http://java.sun.com/docs/books/tutorial/getStarted/index.html