世界上哪个人可以背出π小数点后数字最多?背出勒几位??
推荐回答(4个)
世界记录是100,000位,日本人原口证于2006年10月3日背诵圆周率π至小数点后100,000位。
一名60岁的日本老翁成功背诵了圆周率小数点后10万位,打破了世界圆周率背诵纪录。2006年10月3日上午9时原口证在千叶县木更津市的一个公共会议大厅开始背诵圆周率,现场有29名工作人员和两名当地教育部门官员轮流监督。主办单位考量原口年事已高(60岁),每背诵一、两个小时休息约5分钟,可以到隔壁的小房间休息或吃饭团,此一活动一直持续到4日凌晨1时28分,前后共耗时约16小时。背诵结束时,原口证成功背诵圆周率到小数点后10万位,打破1995年日本大学生后藤裕之所创下的小数点后第42195位。
古希腊欧几里得《几何原本》(约公元前3世纪初)中提到圆周率是常数,中国古算书《周髀算经》( 约公元前2世纪)中有「径一而周三」的记载,也认为圆周率是常数。历史上曾采用过圆周率的多种近似值 ,早期大都是通过实验而得到的结果,如古埃及纸草书(约公元前1700)中取π=(4/3)^4≈3.1604 。第一个用科学方法寻求圆周率数值的人是阿基米得 ,他在《圆的度量》(公元前3世纪)中用圆内接和外切正多边形的周长确定圆周长的上下界,从正六边形 开始,逐次加倍计算到正96边形,得到(3+(10/71)) < π < (3+(1/7)) ,开创了圆周率计算的几何方法(亦称古典方法,或 阿基米得方法),得出精确到小数点后两位的π值。
中国数学家刘徽在注释《九章算术》时(263年)只用圆内接正多边形就求得π的近似值,也得出精确 到两位小数的π值,他的方法被后人称为割圆术。南北朝时代的数学家祖冲之进一步得出精确到小数点后 7位的π值(约5世纪下半叶),给出不足近似值3.1415926和过剩近似值3.1415927,还得到两个近似分数值,密率355/113和约率22/7。其中的密率在西方直到1573才由德国人奥托得到,1625年发表于荷兰工程师安托尼斯的著作中,欧洲称之为安托尼斯率。阿拉伯数学家卡西在15世纪初求得圆周率17位精确小数值,打破祖冲之保持近千年的纪录。德国数学家柯伦于1596年将π值算到20位小数值,后投入毕生精力,于1610年算到小数后35位数,该数值被用他的名字称为鲁道夫数。
1579年法国数学家韦达给出π的第一个解析表达式
此后,无穷乘积式、无穷连分数、无穷级数等各种π 值表达式纷纷出现,π值计算精度也迅速增加。1706 年英国数学家梅钦计算π值突破100位小数大关。1873 年另一位英国数学家尚可斯将π值计算到小数点后707位,可惜他的结果从528位起是错的。到1948年英国的弗 格森和美国的伦奇共同发表了π的808位小数值,成为人工计算圆周率值的最高纪录。
圆周率的计算历史
时间 纪录创造者 小数点后位数
前2000 古埃及人 1
前1200 中国 1
前500 圣经 1
前250 Archimedes 3
263 刘徽 5
480 祖冲之 7
1429 Al-Kashi 14
1593 Romanus 15
1596 Ludolph Van Ceulen 20
1609 Ludolph Van Ceulen 35
1699 Sharp 71
1706 John Machin 100
1719 De Lagny 127(112位正确)
1794 Vega 140
1824 Rutherford 208(152位正确)
1844 Strassnitzky & Dase 200
1847 Clausen 248
1853 Lehmann 261
1853 Rutherford 440
1874 William Shanks 707(527位正确)
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