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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... Internet collaborators. In addition there is also a new section on FFT multiplication (multiplication using fast Fourier transforms), in which this technique that today is indispensable for modern T calculations, is explained in detail ...
... Internet collaborators. In addition there is also a new section on FFT multiplication (multiplication using fast Fourier transforms), in which this technique that today is indispensable for modern T calculations, is explained in detail ...
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... Internet, we have also provided a collection of URLs. For the statisticians amongst you, we have included several million digits of T on the CD-ROM. Finally we narrate the main personalities and milestones in the history of T, amongst ...
... Internet, we have also provided a collection of URLs. For the statisticians amongst you, we have included several million digits of T on the CD-ROM. Finally we narrate the main personalities and milestones in the history of T, amongst ...
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... Internet . . . . . . . . . 215 15.1 The binsplit algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215 15.2 The T project on the Internet . . . . . . . . . . . . . . . . . . . . . . . 219 T Formula Collection ...
... Internet . . . . . . . . . 215 15.1 The binsplit algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215 15.2 The T project on the Internet . . . . . . . . . . . . . . . . . . . . . . . 219 T Formula Collection ...
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... Internet from his server in Tokyo. This itself is not a trivial task since, with a normal telephone line, downloading the data would take approximately one day per billion digits (with the associated expense). If the explosion in the ...
... Internet from his server in Tokyo. This itself is not a trivial task since, with a normal telephone line, downloading the data would take approximately one day per billion digits (with the associated expense). If the explosion in the ...
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... Internet there is a game like this, although currently it is only based on 50 million digits". Somewhere in T, everything that is finite is surely to be found, including, when coded in numeric form, every text in the world, the shortest ...
... Internet there is a game like this, although currently it is only based on 50 million digits". Somewhere in T, everything that is finite is surely to be found, including, when coded in numeric form, every text in the world, the shortest ...
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