Normal number (computing)

Known as: Normal

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…

Papers overview

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2013

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

2013

Abstract Let $g\,\ge \,2$ . A real number is said to be $g$ -normal if its base $g$ expansion contains every finite sequence of…

2012

In a manuscript entitled "A note on normal numbers" and written presumably in 1938 Alan Turing gave an algorithm that produces…

2010

Let $Q=(q_n)_{n=1}^{\infty}$ be a sequence of integers greater than or equal to 2. We say that a real number $x$ in $[0,1)$ is…

2009

We consider families of hyperbolic maps and describe conditions for a fixed reference point to have its orbit evenly distributed…

2006

A real number α is said to be normal to base 10 if, for every natural number L, each finite sequence of L digits appears in the…

2002

The aim of this work is to investigate some arithmetical properties of real numbers, for example by considering sequences of the…

2000

The number theoretic properties of real numbers or, more generally, of points in Euclidean space, can be divided, like Gaul, into…

2000

if the limit exists. The number a is simply normal to the base b if the limit defining (ao; b, a) exists and equals I/b for each…

1998

Abstract We prove that a positive real number whose binary expansion is a fixed point of a morphism on the alphabet {0, 1} that…