Pi - UnleashedSpringer Science & Business Media, 6 dic 2012 - 270 páginas In the 4,000-year history of research into Pi, results have never been as prolific as present. This book describes, in easy-to-understand language, the latest and most fascinating findings of mathematicians and computer scientists in the field of Pi. Attention is focused on new methods of high-speed computation. |
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... decimal places. In this book you will discover why anyone should be ... digits of T on your computer. The CD-ROM also contains source code versions ... digits of T on the CD-ROM. Finally we narrate the main personalities and milestones in ...
... decimal places. In this book you will discover why anyone should be ... digits of T on your computer. The CD-ROM also contains source code versions ... digits of T on the CD-ROM. Finally we narrate the main personalities and milestones in ...
Página 2
... decimal digits of T in New York on a computer which they had built themselves from parts purchased in department stores (92). One might expect Kanada to record his T calculations in compressed form” on around 150 CDs and to offer them ...
... decimal digits of T in New York on a computer which they had built themselves from parts purchased in department stores (92). One might expect Kanada to record his T calculations in compressed form” on around 150 CDs and to offer them ...
Página 3
... digits of T, he would name them accurately up to this point and only then say and so on. His words have an elegant ... decimal places after that. * It is customary to count digit positions from 0, beginning with the 3 in front of the decimal ...
... digits of T, he would name them accurately up to this point and only then say and so on. His words have an elegant ... decimal places after that. * It is customary to count digit positions from 0, beginning with the 3 in front of the decimal ...
Página 4
... decimal places after that we do not know. It may be more communicative to ... digits". Somewhere in T, everything that is finite is surely to be found ... digits of information, so my neighbour's DNA could already be contained in the ...
... decimal places after that we do not know. It may be more communicative to ... digits". Somewhere in T, everything that is finite is surely to be found ... digits of information, so my neighbour's DNA could already be contained in the ...
Página 6
... digits that are known, all we know about the decimal sequence of T is trivial information such as the frequency and distribution of (short) blocks of numbers [11, p. 203]. The number T is thus one of the oldest subjects of research by ...
... digits that are known, all we know about the decimal sequence of T is trivial information such as the frequency and distribution of (short) blocks of numbers [11, p. 203]. The number T is thus one of the oldest subjects of research by ...
Índice
7 | |
Approximations for T and Continued Fractions | 52 |
15 | 57 |
Arcus Tangens | 70 |
The Borweins and T | 114 |
Arithmetic 131 | 132 |
Computations with extreme precision | 250 |
Precision and radix | 251 |
Compiling running the Texamplecode | 253 |
Organisation of the files | 254 |
Distribution policy no warranty | 255 |
Bibliography 257 | 256 |
Index | 265 |
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Términos y frases comunes
accurate decimal places Adamchik AGM(a,b ak+1 approximation Archimedes Archimedes's arctan formulae arithmetic-geometric mean Arndt base BBP series Bellard Berlin Heidelberg 2001 billion decimal places billion digits binary modulo Borwein brothers calculation Chudnovsky brothers Cited Complex converge correct decimal places decimal digits denominator derived discovered discovery example expression fact fast Fourier transform FFT multiplication formula 7.1 function Gauss AGM algorithm geometric Golden ratio hexadecimal hexadecimal point hfloat infinite Initialise integer Internet iteration Kanada Karatsuba known Leibniz Leibniz series lemniscate length Leonhard Euler math mathematician method modular equations obtained occur operations perform perimeter Peter Borwein Plouffe polygons precision procedure produces proof provisional digit quadratic radix Ramanujan random numbers ratio representation result Schönhage sequence series term sides Simon Plouffe simple continued fraction spigot algorithm Springer-Verlag Berlin Heidelberg square root summand theorem tion Unleashed variables Viète world record Yasumasa Kanada zero