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The first to use an electronic computer (the ENIAC) to calculate π [25] 70 hours 2,037: 1953: Kurt Mahler: Showed that π is not a Liouville number: 1954 S. C. Nicholson & J. Jeenel Using the NORC [26] 13 minutes 3,093: 1957 George E. Felton: Ferranti Pegasus computer (London), calculated 10,021 digits, but not all were correct [27] [28] 33 ...
Liu Hui's method of calculating the area of a circle. Liu Hui's π algorithm was invented by Liu Hui (fl. 3rd century), a mathematician of the state of Cao Wei.Before his time, the ratio of the circumference of a circle to its diameter was often taken experimentally as three in China, while Zhang Heng (78–139) rendered it as 3.1724 (from the proportion of the celestial circle to the diameter ...
The Chudnovsky algorithm is a fast method for calculating the digits of π, based on Ramanujan's π formulae.Published by the Chudnovsky brothers in 1988, [1] it was used to calculate π to a billion decimal places.
Google engineer Emma Haruka Iwao has calculated pi to 31 trillion digits, breaking the world record.
Later, Liu Hui attempted to improve the calculation by calculating pi to be 3.141024. Liu calculated this number by using polygons inside a hexagon as a lower limit compared to a circle. [ 25 ] Zu Chongzhi later discovered the calculation of pi to be 3.1415926 < π < 3.1415927 by using polygons with 24,576 sides.
calculating one year as 365.24281481 days, which is very close to 365.24219878 days as we know today. calculating the number of overlaps between sun and moon as 27.21223, which is very close to 27.21222 as we know today; using this number he successfully predicted an eclipse four times during 23 years (from 436 to 459). calculating the Jupiter ...
From 2002 until 2009, Kanada held the world record calculating the number of digits in the decimal expansion of pi – exactly 1.2411 trillion digits. [1] The calculation took more than 600 hours on 64 nodes of a HITACHI SR8000/MPP supercomputer. Some of his competitors in recent years include Jonathan and Peter Borwein and the Chudnovsky brothers.
During his calculations, which took many tedious days of work, Shanks was said to have calculated new digits all morning and would then spend all afternoon checking his morning's work. [2] Shanks died in Houghton-le-Spring, County Durham, England in June 1882, aged 70, and was buried at the local Hillside Cemetery on 17 June 1882. [2] [3]