Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20121231 23:29:42
Ramanujan's pi approximation equationI'm sure others have made similar discoveries... I just discovered 2^[9217/5581] = 3.1415926... is more simple and more accurate than Ramanujan's pi approximation equation of 2^0.5 * 9801 / 4412 cool! Last edited by pellerinb (20130101 02:18:14) Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication. In biology, we use math like we know what we are talking about. Sad isn't it. #2 20130101 01:54:50
Re: Ramanujan's pi approximation equationHi;
This is probably a typo. What you have there is which is not close to pi. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #4 20130101 02:06:51
Re: Ramanujan's pi approximation equationHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #5 20130101 02:51:17
Re: Ramanujan's pi approximation equationMy bad! I didn't realise you were imparting a lesson. #6 20130101 02:56:12
Re: Ramanujan's pi approximation equationHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #7 20130101 04:23:37
Re: Ramanujan's pi approximation equationThanks for noticing that typo! I just found 5^(4333/6092)=3.1415926587376378353132531097... Which is even more accurate than 2^[9217 /5581] yet just as simple. Cool! Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication. In biology, we use math like we know what we are talking about. Sad isn't it. #8 20130101 04:57:01
Re: Ramanujan's pi approximation equationHi pellerinb; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9 20130101 08:55:47
Re: Ramanujan's pi approximation equationJust brute force with code... Just takes a second to run. I'm on my way to a NYE party of non mathematicians so I'll give you the code when I get back to my laptop sometime in the new year Happy New Year! Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication. In biology, we use math like we know what we are talking about. Sad isn't it. #10 20130101 10:21:57
Re: Ramanujan's pi approximation equationHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #11 20130102 23:37:06
Re: Ramanujan's pi approximation equationJust in case others are wondering how I managed it, I want to check only the nearest integer. So for 2^[9999/x], I'll check 2^[9999/6055] because x = (9999 log(2))/(log(pi)) = 6055. So for the rest, I'll check 2^[9998/(9998*log(2))/(log(pi))]. I hope this makes sense. Last edited by pellerinb (20130102 23:48:35) Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication. In biology, we use math like we know what we are talking about. Sad isn't it. #12 20130103 12:54:12
Re: Ramanujan's pi approximation equationNot quite as accurate but easy to remember: Studder quoting the first three odd positive integers Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional). LaTex is like painting on many strips of paper and then stacking them to see what picture they make. #13 20130105 00:51:15
Re: Ramanujan's pi approximation equationAccuracy doesn't increase tenfold again until 41^[5429/17612]≈3.1415926536893... Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication. In biology, we use math like we know what we are talking about. Sad isn't it. #14 20130105 01:07:08
Re: Ramanujan's pi approximation equationHere's one that increases it another tenfold... 131^[5131/21852] ≈ 3.141592653555866563449102187233485139443062510610029... Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication. In biology, we use math like we know what we are talking about. Sad isn't it. 