In computing, a normal number is a non-zero number in a floating-point representation which is within the balanced range supported by a given… (More)

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2016

2016

- Jack H. Lutz, Elvira Mayordomo
- ArXiv
- 2016

A real number x is absolutely normal if, for every base b ≥ 2, every two equally long strings of digits appear with equal… (More)

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2013

2013

- Verónica Becher, Pablo Ariel Heiber, Theodore A. Slaman
- Inf. Comput.
- 2013

We give an algorithm to compute an absolutely normal number so that the first i digits in its binary expansion are obtained in… (More)

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2011

2011

Champernowne’s number is the best-known example of a normal number, but its digits are far from random. The sequence of… (More)

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2005

2005

- Filip Saidak
- 2005

Assuming a quasi-generalized Riemann Hypothesis (6) for certain Dedekind zeta functions, we prove the following theorem: If a ≥ 2… (More)

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2004

2004

- ALEXEI ZYKIN, A. ZYKIN
- 2004

The classical Brauer–Siegel theorem states that if k runs through the sequence of normal extensions of Q such that nk/ log |Dk… (More)

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Highly Cited

2002

Highly Cited

2002

- PAUL ERD, R. A. Smith, A. Pomerance
- 2002

from which (1.1) is an immediate corollary. The method of proof of the asymptotic formula (1.2) was later generalized… (More)

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2002

2002

- Verónica Becher, Santiago Figueira
- Theor. Comput. Sci.
- 2002

The first example of an absolutely normal number was given by Sierpinski in 1916, twenty years before the concept of… (More)

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2000

2000

- M Venkatashamy Reddy, Stephen Joe
- Adv. Comput. Math.
- 2000

Number-theoretic rules are particularly suited for the approximation of multi-dimensional integrals in which the integrands are… (More)

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1985

1985

- Rachael P. E. Gordon
- The Journal of cell biology
- 1985

Orthogonal arrays are found on plasma membranes of glial cells, in the central nervous system, on muscle plasma membranes at… (More)

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1964

1964

- Richard Kronmal
- J. ACM
- 1964

A pseudorandom normal number generator is proposed and its performance evaluated. Normal numbers are produced by first generating… (More)

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