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The number π (/ p aɪ / ⓘ; spelled out as "pi") is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter.It appears in many formulae across mathematics and physics, and some of these formulae are commonly used for defining π, to avoid relying on the definition of the length of a curve.
Emma Haruka Iwao (born April 21, 1984) is a Japanese computer scientist and cloud developer advocate at Google. [5] [6] In 2019 Haruka Iwao calculated the then world record for most accurate value of pi (π); which included 31.4 trillion digits, exceeding the previous record of 22 trillion.
"pi" (or "calculator" and pressing P on the keyboard) and clicking the "π" symbol will start a memory game similar to Simon, in which the calculator highlights the digits of pi and prompts one to repeat the sequence. The sequence gets longer every turn.
The software may be obtained from the Pi-Hacks Yahoo! forum, or from Stu's Pi page. Super PI by Kanada Laboratory [102] in the University of Tokyo is the program for Microsoft Windows for runs from 16,000 to 33,550,000 digits. It can compute one million digits in 40 minutes, two million digits in 90 minutes and four million digits in 220 ...
Using the P function mentioned above, the simplest known formula for π is for s = 1, but m > 1. Many now-discovered formulae are known for b as an exponent of 2 or 3 and m as an exponent of 2 or it some other factor-rich value, but where several of the terms of sequence A are zero.
In mathematics, Machin-like formulas are a popular technique for computing π (the ratio of the circumference to the diameter of a circle) to a large number of digits.They are generalizations of John Machin's formula from 1706:
Google engineer Emma Haruka Iwao has calculated pi to 31 trillion digits, breaking the world record.
The arithmetic–geometric mean of two numbers, a 0 and b 0, is found by calculating the limit of the sequences + = +, + =, which both converge to the same limit. If = and = then the limit is () where () is the complete elliptic integral of the first kind
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