ï¼»åºåï¼½æ å ±ã¢ã©ã«ã«ãã»ç»å¥ã第ï¼å¼¾ï¼ï¼ï¼ å¼ããï¼ï¼æ¥ãããå¤ã®æè¬ã»ã¼ã«ããã¯ãã«ã»ã°ãªã¼ã³ã¢ã³ãã³ã¼ãã¼ãï¼æï¼ï¼æ¥ä»æ²è¼
ï¼»åºåï¼½æ å ±ã¢ã©ã«ã«ãã»ç»å¥ã第ï¼å¼¾ï¼ï¼ï¼ å¼ããï¼ï¼æ¥ãããå¤ã®æè¬ã»ã¼ã«ããã¯ãã«ã»ã°ãªã¼ã³ã¢ã³ãã³ã¼ãã¼ãï¼æï¼ï¼æ¥ä»æ²è¼
å ã 㯠Ramanujan ã Ramanujan ã®å ¬å¼ ãçºè¡¨ãã¦ããç ç©¶ããå§ããå ¬å¼ã§ããã Borwein[FB05] ã®ç ç©¶ãã AGM ç³»ã¨åæ§ã® æ¥åç©åã«å ããä¿åå½¢å¼ã¨é¢é£ããã¦çµã¿ç«ã¦ãããã[FT01] ããç§ã¯ãã®åéã«æãããªãã®ã§è©³ç´°ãªè¨åã¯æ¢ãã¦ããã Ramanujan ã®å ¬å¼ãåºããã彿ã¯é çªã«è¨ç®ãã¦ãã $O(n^2)$ ã®æ¹æ³ããç¥ããã¦ããªãã£ããã Binary Splitting æ³ ã DRM æ³ã使ãããããã«ãªã£ã¦ãã㯠$O(n(\log n)^3)$ ç¨åº¦ã®è¨ç®éã«ãªããã¨ã ä¿æ°ãå«ããå®è¨ç®ã³ã¹ããå°ãªããªããã¨ãç¥ããã ç¾å¨ç¥ããã¦ããä¸ã§æéã®è¨ç®æ¹æ³ã¨ãªã£ã¦ããã [JT01][JT03][JM01] Ramanujan ã®å ¬å¼ \[ \frac{1}{\pi} = \frac{\sqrt{8}}{9801}\sum_
ãã©ã³ã¹äººã®ã¨ã³ã¸ãã¢ã§LZEXEãffmpegã®åä½è ã¨ãã¦ãç¥ãããFabrice Bellardæ°ã¯1æ6æ¥ã2009å¹´12æ31æ¥ã¾ã§131æ¥ããã¦è¡ã£ãåå¨çè¨ç®ã®æ¡æ°ãä¸çè¨é²ãæ´æ°ãããã¨ãèªèº«ã®Webãµã¤ãä¸ã«ã¦æããã«ããã ããã¾ã§ã®ä¸çè¨é²ã¯ç波大å¦ã®è¨ç®ç§å¦ç ç©¶ã»ã³ã¿ã¼ããå大ã®ã¹ã¼ãã¼ã³ã³ãã¥ã¼ã¿ãT2Kçæ³¢ã·ã¹ãã ããç¨ãã¦ã主è¨ç®ã2009å¹´4æ9æ¥7æ37å32ç§ããå4æ10æ¥12æ43å21ç§ã¾ã§ã®29æé5å49ç§ã§å®æ½ãæ¤è¨¼è¨ç®ãå4æ27æ¥9æ35å36ç§ããå4æ29æ¥18æ6å9ç§ã¾ã§ã®44æé30å33ç§ã§å®æ½ãããåè¨73æé36å25ç§ã«ããå°æ°ç¹ä»¥ä¸2å 5769å8037䏿¡ã¨ãªã£ã¦ããã åæ°ã¯CPUã«Core i7(2.93GHz)ã6GBã®RAMã1.5TBã®HDDã5å°(Seagate Barracuda 7200.11)ç¨ãã
åå¨çÏè¨ç®ã®æ¡æ°ã®è¨é²ãæ´æ°ããããè¨ç®æ©ã®é²æ©ã¨ã¨ãã«è¨é²ã¯æ´æ°ããããã®ã ããä»åã®è¨é²æ´æ°ã§ä½¿ãããã®ã¯ã¹ã¼ãã¼ã³ã³ãã¥ã¼ã¿ã§ã¯ãªãããªãã¨1å°ã®ãã¹ã¯ãããPCãªã®ã ããã ï¼æ¬å®¶è¨äºï¼New Pi Computation Record Using a Desktop PCãå ãã¿ï¼Pi Computation Recordï¼ã ä»åã®è¨ç®ã§éæããæ¡æ°ã¯ãç´2å 6999åæ¡ãååã®è¨é²ã¯æ¨å¹´ãçæ³¢å¤§ã»è¨ç®ç§å¦ç ç©¶ã»ã³ã¿ã¼ã§éæãããç´2å 5769åæ¡ãªã®ã§ã1200åæ¡ã»ã©ã®è¨é²æ´æ°ã¨ãªãã å ãã¿ã®Press Releaseã«ããã¨ãè¨ç®ã«ä½¿ããããã·ã³ã®ä¸»ãªã¹ããã¯ã¯ä»¥ä¸ã®éãã CPUï¼Core i7ï¼2.93GHzï¼ã¡ã¢ãªï¼6GBHDDï¼7.5TBï¼1.5TBÃ5ï¼PCèªä½ã¯2000ã¦ã¼ãï¼25ï½26ä¸åç¨åº¦ï¼ã®ãã®ã§ãOSã«ã¯LinuxãÏè¨ç®ããã°ã©ã ã¯ç¬èªã«ä½ããã
[English] 詳細 ããã¯ï¼åå¨çãå·¨å¤§ãªæ¡æ°ã§è¨ç®ããããã±ã¼ã¸ã§ãï¼ ãããä½ã£ããã£ããã¯ï¼ããç ç©¶ã§ä½ã£ã FFT ãã¼ã¹ã®å¤åé·è¨ç® ã«ã¼ãã³ã®ãã³ããã¼ã¯ãè¡ã£ããã¨ã§ãï¼ è¨ç®é度㯠Super_PI ver 1.1 @æ±å¤§éç°ç 究室 ã¨æ¯è¼ãã¦ç´ 2.5 åé«éã§ãï¼ å¤åé·åºæ¬æ¼ç®ã«ã¼ãã³ã¯ååæ¼ç®ã¨å¹³æ¹æ ¹ã§ãï¼ ããã°ã©ã ã®å¤æ´ã§åå¨ç以å¤ã®è¨ç®(sqrt(2) ãªã©)ãã§ããã¨æãã¾ãï¼ é å¸ pi_fftc6_src.tgz (52KB), source file only, for UNIX / ver. LG1.1.2-MP1.5.2af updated: 011105 pi_fftc6.zip (358KB), source file with WIN32 binary / ver. LG1.1.2-MP1.5.2af updated: 011105 p
ãªãªã¼ã¹ãé害æ å ±ãªã©ã®ãµã¼ãã¹ã®ãç¥ãã
ææ°ã®äººæ°ã¨ã³ããªã¼ã®é ä¿¡
å¦çãå®è¡ä¸ã§ã
j次ã®ããã¯ãã¼ã¯
kåã®ããã¯ãã¼ã¯
lãã¨ã§èªã
eã³ã¡ã³ãä¸è¦§ãéã
oãã¼ã¸ãéã
{{#tags}}- {{label}}
{{/tags}}