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According to its author, it can compute one million digits in 3.5 seconds on a 2.4 GHz Pentium 4. [100] PiFast can also compute other irrational numbers like e and √ 2 . It can also work at lesser efficiency with very little memory (down to a few tens of megabytes to compute well over a billion (10 9 ) digits).
This property also makes it straightforward to represent a timestamp as a fractional day, so that 2025-01-30.54321 can be interpreted as five decimal hours, 43 decimal minutes and 21 decimal seconds after the start of that day, or a fraction of 0.54321 (54.321%) through that day (which is shortly after traditional 13:00).
These tables placed the ecliptic at 23° 28' 40". The current value was 23° 27' showing that al-Dīn's instruments and methods were more precise. Al-Dīn used a new method to calculate solar parameters and to determine the magnitude of the annual movement of the sun's apogee as 63 seconds. The known value today is 61 seconds.
Units in everyday use by country as of 2019 The history of the metric system began during the Age of Enlightenment with measures of length and weight derived from nature, along with their decimal multiples and fractions. The system became the standard of France and Europe within half a century. Other measures with unity ratios [Note 1] were added, and the system went on to be adopted across ...
[114] [115] Liu Hui commented on the Nine Chapters in the 3rd century AD and gave a value of π accurate to 5 decimal places (i.e. 3.14159). [ 116 ] [ 117 ] Though more of a matter of computational stamina than theoretical insight, in the 5th century AD Zu Chongzhi computed the value of π to seven decimal places (between 3.1415926 and 3. ...
It is denoted by a single prime ( ′ ). For example, 3° 30′ is equal to 3 × 60 + 30 = 210 minutes or 3 + 30 / 60 = 3.5 degrees. A mixed format with decimal fractions is sometimes used, e.g., 3° 5.72′ = 3 + 5.72 / 60 degrees. A nautical mile was historically defined as an arcminute along a great circle of the Earth.
The Julian date (JD) of any instant is the Julian day number plus the fraction of a day since the preceding noon in Universal Time. Julian dates are expressed as a Julian day number with a decimal fraction added. [8] For example, the Julian Date for 00:30:00.0 UT January 1, 2013, is 2 456 293.520 833. [9]