Computing the Digits in *

• expression écrite

Computing the Digits in pi Carl D. Offner September 6, 2009 Contents 1 Why do we care? 2 2 Archimedes 5 3 A digression: means 9 4 Measures of convergence 13 4.1 The rate of convergence of Archimedes' algorithm . . . . . . . . . . . . . . . . . . . . 13 4.2 Quadratic convergence . . . . . . . . . . . . . .

• acceleration of series 19 6.1 euler
• upper bound on the radius of the universe
• upper bound on the distance
• computer science answer
• fraction of the triplets 313 approach
• square root
• numbers
• error
• computer