• 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

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

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

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

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
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