Happy Pi Day!
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03-15-2017, 03:57 PM
(This post was last modified: 03-15-2017 10:42 PM by Gerson W. Barbosa.)
Post: #12
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RE: Happy Pi Day!
(03-15-2017 11:04 AM)franz.b Wrote: 355/113 is enough for me B-) That's perhaps the most efficient rational approximation for \(\pi\): six digits in a mnemonic sequence giving seven correct digits. The 1762-digit fraction below gives only 707 digits (perhaps a few more) and is somewhat hard to memorize. ------------------------------ 707 « PUSH RAD -105 CF -3 CF DUP .653 * 1.74 + IP R→I DUP 2 MOD + DUP 4 * OVER DUPDUP 1 - 1 FOR i i SQ SWAP / PICK3 + ROT SWAP -1 STEP INV NIP UNROT + 1 - 3 0 UNROT FOR i i INV i 2 - INV - + -4 STEP - 4 * EXPAND →STR "'" "" SREPL ROT DROP2 POP » :s: 1274.5305 (time on my iPhone) 35471270118869764571868355345605539644932682747073948595148728173396218838668496807164261249025584732733447180406782632233100073005480984469449407355631751951857932330423810870967190441865169301769333638373110660302700491482945444585732820105924605428311002761716473437615659392155761487611060526868601273453231898921986033467508953705826437947232221130307331236975137794949585690105209169659222613615091278193473671810180461713896937461266702114523287846642413110136614196936176976029123163627319062908158192243507523352526680253139185385238035253759673955361647533057729961933967438732663683013268610818106513210628256422354671300838866942997862434460365675067121733569309784654487598949230595519145549666784079635895854318597270213456322812296404622832012961138994524991861828477269161456938399075366416135189699798372878186147147377096190114953814771793002615563275568590880768 / 11290855954331929765162875991672337005763900233129789215007366526465816927928074999105190513907196301005180549814955324020004797097472202900194595496982909715308051980859823447314558965940861230833849596778794528130041951422123875810401220791617778874064429696755480283483475358841356899944430809069589392140510992481520008261154692775393292206410577076528088955347442330067218483215780693490726115076597692812403142588112902307500691056928074672318791539536323246345602121039586067513765201530999299014996124193701700437357615236050277051928851200804664427103092300733741860504772987941557705580993501918235022067678871782125063477497845164217020591975595102229045657335420399329352696468216747850425590255677095239755710260367678979941803636081060659736127271086039016609855284050676165107007788796808472179411442756875549846412143888154086151886389002255015784099310913692491875 ------------------------------ Edited to add a missing 's'. Edited again per Valentin's observation below. |
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Messages In This Thread |
Happy Pi Day! - Gerson W. Barbosa - 03-14-2017, 01:14 AM
RE: Happy Pi Day! - Ángel Martin - 03-14-2017, 06:17 AM
RE: Happy Pi Day! - Csaba Tizedes - 03-14-2017, 08:22 AM
RE: Happy Pi Day! - Dave Britten - 03-14-2017, 12:47 PM
RE: Happy Pi Day! - Eddie W. Shore - 03-14-2017, 01:06 PM
RE: Happy Pi Day! - jebem - 03-14-2017, 01:22 PM
RE: Happy Pi Day! - Eddie W. Shore - 03-14-2017, 01:24 PM
RE: Happy Pi Day! - Gerson W. Barbosa - 03-14-2017, 03:50 PM
RE: Happy Pi Day! - Gerson W. Barbosa - 03-14-2017, 05:07 PM
RE: Happy Pi Day! - Joe Horn - 03-15-2017, 11:33 PM
RE: Happy Pi Day! - Gerson W. Barbosa - 03-16-2017, 12:06 AM
RE: Happy Pi Day! - d b - 03-15-2017, 02:53 AM
RE: Happy Pi Day! - franz.b - 03-15-2017, 11:04 AM
RE: Happy Pi Day! - Gerson W. Barbosa - 03-15-2017 03:57 PM
RE: Happy Pi Day! - Valentin Albillo - 03-15-2017, 08:56 PM
RE: Happy Pi Day! - Gerson W. Barbosa - 03-15-2017, 10:50 PM
RE: Happy Pi Day! - EdS2 - 03-17-2017, 10:00 PM
RE: Happy Pi Day! - Gerson W. Barbosa - 03-18-2017, 02:17 AM
RE: Happy Pi Day! - Joe Horn - 03-18-2017, 03:43 AM
RE: Happy Pi Day! - Gerson W. Barbosa - 03-18-2017, 09:17 PM
RE: Happy Pi Day! - ttw - 03-16-2017, 01:22 AM
RE: Happy Pi Day! - pier4r - 03-28-2017, 10:30 AM
RE: Happy Pi Day! - Joe Horn - 03-28-2017, 11:59 AM
RE: Happy Pi Day! - pier4r - 03-28-2017, 09:23 PM
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