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y-cruncher by Alexander Yee [47] is the program which every world record holder since Shigeru Kondo in 2010 has used to compute world record numbers of digits. y-cruncher can also be used to calculate other constants and holds world records for several of them. PiFast by Xavier Gourdon was the fastest program for Microsoft Windows in 2003.
"The amazing number π " (PDF). Nieuw Archief voor Wiskunde. 5th series. 1 (3): 254– 258. Zbl 1173.01300. Kazuya Kato, Nobushige Kurokawa, Saito Takeshi: Number Theory 1: Fermat's Dream. American Mathematical Society, Providence 1993, ISBN 0-8218-0863-X
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.
Machin-like formulas for π can be constructed by finding a set of integers , =, where all the prime factorisations of + , taken together, use a number of distinct primes , and then using either linear algebra or the LLL basis-reduction algorithm to construct linear combinations of arctangents of . For example, in the Størmer formula ...
The circumference of a circle with diameter 1 is π.. A mathematical constant is a number whose value is fixed by an unambiguous definition, often referred to by a special symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
Other poems use sound as a mnemonic technique, as in the following poem [13] which rhymes with the first 140 decimal places of pi using a blend of assonance, slant rhyme, and perfect rhyme: dreams number us like pi. runes shift. nights rewind daytime pleasure-piles. dream-looms create our id. moods shift. words deviate. needs brew. pleasures rise.
March 14th marks the annual Pi Day, a day dedicated to honoring the mathematical constant pi or π (aka 3.14). The day is also just a great excuse to bake up your favorite pie recipe !
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]