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. |
Dentro del libro
Resultados 1-5 de 21
Página
... number T was so well received, we are pleased to present the second edition, which has ... billion decimal places, and also the record achieved by Colin Percival, who in 1999 while still a teenager calculated the 40 trillionth binary digit ...
... number T was so well received, we are pleased to present the second edition, which has ... billion decimal places, and also the record achieved by Colin Percival, who in 1999 while still a teenager calculated the 40 trillionth binary digit ...
Página
... billion 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 ...
... billion 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 ...
Página 2
... billion digits, only Kanada and his team are still in the running. The computers used to attain these world records have generally been supercomputers which were specially developed for numbercrunching and cost millions of dollars. For ...
... billion digits, only Kanada and his team are still in the running. The computers used to attain these world records have generally been supercomputers which were specially developed for numbercrunching and cost millions of dollars. For ...
Página 4
... billion digits of information, so my neighbour's DNA could already be contained in the known digits of T. Perhaps, but highly improbable. For example, the number which Y. Kanada has calculated does not even contain all the 20-digit numbers ...
... billion digits of information, so my neighbour's DNA could already be contained in the known digits of T. Perhaps, but highly improbable. For example, the number which Y. Kanada has calculated does not even contain all the 20-digit numbers ...
Página 5
Jörg Arndt, Christoph Haenel. numbers or blocks of numbers of the same length occur more often or less often than others, so that, for example, in the 50th billion positions significantly more sixes occur than in the 60th billion. Anyone ...
Jörg Arndt, Christoph Haenel. numbers or blocks of numbers of the same length occur more often or less often than others, so that, for example, in the 50th billion positions significantly more sixes occur than in the 60th billion. Anyone ...
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 |
Otras ediciones - Ver todo
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