• Corpus ID: 17722490

# A Bibliography of Publications on the Numerical Calculation of π

@inproceedings{Beebe2013ABO,
title={A Bibliography of Publications on the Numerical Calculation of $\pi$},
author={F. Beebe},
year={2013}
}
(sinα)/α [127]. 0 [245]. 1 [258]. 1/π [280, 219, 220]. 1/π [252, 220]. 10, 000 [57]. 10, 000, 000 [154]. 16 [228]. 2 [60, 63]. 2 + 2 [244]. 2, 000 [39]. 2, 576, 980, 370, 000 [246]. \$24.95 [217]. 29, 360, 000 [111]. 2H2 [256]. b [205]. C [297]. d [297]. e [216, 112, 106, 64, 38, 125, 32, 39, 40, 244, 13, 62]. e−(π/2) = i [15]. γ [76]. GL(n, Z) [109]. N [128, 162, 95, 109, 153]. φ [218, 225]. π [270, 139, 264, 138, 300, 164, 118, 207, 289, 70, 87, 212, 290, 284, 277, 133, 178, 128, 96, 230, 209…
1 Citations

### A Bibliography of Publications of Nelson H. F. Beebe

This bibliography records publications of Nelson H. F. Beebe. Title word cross-reference #1 [68]. #2 [99, 184]. #3 [100, 186]. #4 [115, 192]. #5 [117, 195]. #6 [201]. #7 [210]. #8 [223]. 10 [49]. +

## References

SHOWING 1-10 OF 267 REFERENCES

### Lazzarini's Lucky Approximation of π

In 1812 Laplace [14] remarked that one could approximate Ir by performing a Buffon needle experiment. Since then several needle casters claim to have done just that. Lazzarini's 1901 Buffon

### Easy Proofs of Some Borwein Algorithms for π

The gamma function is a model for complex function analysis used in number theory, geometry, and computer science, and in particular in the area of discrete-time analysis.

### The number of

• Law
• 2002
RACE/ETHNICITY OF INCARCERATED OFFENDERS N % N % N % Black 20,978 46.84 978 24.45 21,956 45.00 White 22,048 49.23 2,962 74.05 25,010 51.26 Hispanic 1,346 3.01 31 0.78 1,377 2.82 White Hispanic 249

### Random Generators and Normal Numbers

• Mathematics
Exp. Math.
• 2002
An uncountable class of explicit normals that succumb to the PRNG approach is described, and b-normality is established for constants of the form Σ 1/(b mi c ni) for certain sequences (mi), (ni) of integers.

### More quadratically converging algorithms for p

• Mathematics
• 1986
We present a quadratically converging algorithm for m based on a formula of Legendre's for complete elliptic integrals of modulus sin(w/12) and the arithmetic-geometric mean iteration of Gauss and

### Zhao Youqin and His Calculation of π

Abstract The paper discusses the method used by Zhao Youqin (1271–?) in his treatise Ge xiang xin shu to confirm Zu Chongzhi's (429–500) approximate value 355/113 of π. Zhao Youqin inscribed a square

### Analysis of PSLQ, an integer relation finding algorithm

• Mathematics
Math. Comput.
• 1999
This paper defines the parameterized integer relation construction algorithm PSLQ(τ), where the parameter τ can be freely chosen in a certain interval, and proves that PSLZ(τ) constructs a relation in less than O(n 3 + n 2 logM x ) iterations.

### Computational methods from rational approximation theory

• A. Cuyt
• Computer Science
Numerical Algorithms
• 2004
This special issue contains a number of papers focusing on numerical algorithms derived from the use of rational approximation methods. It is one of the three special issues of different journals

### A Simple Proof of the Formula ∑ ∞ k = 1 = π 2 /6

JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and

### Many Correct Digits of π, Revisited

= 3.14159 06535 89793 24046 26433 83269 50288 4197 while qr = 3.14159 26535 89793 23846 26433 83279 50288 4197. So only 4 out of 40 digits are wrong. This remarkable fact was explained in the