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"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 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.
Made use of a desk calculator [24] 620: 1947 Ivan Niven: Gave a very elementary proof that π is irrational: January 1947 D. F. Ferguson: Made use of a desk calculator [24] 710: September 1947 D. F. Ferguson: Made use of a desk calculator [24] 808: 1949 Levi B. Smith and John Wrench: Made use of a desk calculator 1,120
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:
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The Gauss–Legendre algorithm is an algorithm to compute the digits of π.It is notable for being rapidly convergent, with only 25 iterations producing 45 million correct digits of π.
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.
where C is the circumference of a circle, d is the diameter, and r is the radius.More generally, = where L and w are, respectively, the perimeter and the width of any curve of constant width.