Exploring RANDOMNESS

Chaitin, Gregory J.; Bridges, Douglas S.; Claude, Christian S.

doi:10.1007/978-1-4471-0307-3

Cited by 87 publications

(74 citation statements)

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“…First, 2 random elements are derived for each sun position, an azimuth and one altitude angle, and it appears that 1000 sun positions are not sufficient to create an even distribution. Second, random numbers used in computer programs are pseudo-random, which means they are a generated in a predictable fashion using a mathematical formula, which implies that the distribution of random numbers are not completely random (Chaitin 2001). This discrepancy between the 2 methods is almost impossible to detect by visual comparison (Fig.…”

Section: Comparison Of Methodsmentioning

confidence: 99%

Continuous sky view factor maps from high resolution urban digital elevation models

Lindberg¹,

Grimmond²

2010

Clim. Res.

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This paper presents a new method to calculate sky view factors (SVFs) from high resolution urban digital elevation models using a shadow casting algorithm. By utilizing weighted annuli to derive SVF from hemispherical images, the distance light source positions can be predefined and uniformly spread over the whole hemisphere, whereas another method applies a random set of light source positions with a cosine-weighted distribution of sun altitude angles. The 2 methods have similar results based on a large number of SVF images. However, when comparing variations at pixel level between an image generated using the new method presented in this paper with the image from the random method, anisotropic patterns occur. The absolute mean difference between the 2 methods is 0.002 ranging up to 0.040. The maximum difference can be as much as 0.122. Since SVF is a geometrically derived parameter, the anisotropic errors created by the random method must be considered as significant.

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Section: Comparison Of Methodsmentioning

confidence: 99%

Continuous sky view factor maps from high resolution urban digital elevation models

Lindberg¹,

Grimmond²

2010

Clim. Res.

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“…Algorithmic Information Theory (see [2,3,1]) deals with random sequences over a finite (not necessarily binary) alphabet. A real number is random if its binary expansion is a binary random sequence; the choice of base is irrelevant (see [1] for various proofs).…”

Section: Varying Alphabets and The Cantor Expansionmentioning

confidence: 99%

Randomness relative to Cantor expansions

Calude

Staiger

Svozil

2005

Communications in Nonlinear Science and Numerical Simulation

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“…Similarly, as seen below, if an m-ary string is considered to be highly random (in naïve but intuitive terms, for now), it will not be too regular. For an alternative and clearly dichotomic approach, see [2] and [1], for example.…”

Section: Introductionmentioning

confidence: 99%

Indices of regularity and indices of randomness for m-ary strings

Skliar

Monge²,

Oviedo

et al. 2009

RMTA

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The notions "regularity index" and "randomness index" previously introduced for binary strings (2-ary) have been modified slightly and generalized for m-ary strings (m = 2, 3, 4, . . .). These notions are complementary and the regular/random dichotomy has been replaced by a gradation of values of regularity and of randomness. With this approach, the more regular an m-ary string, the less random it is, and vice versa. The distributions of frequencies of different length strings -2-ary and 3-ary strings-according to their indices of randomness, are shown by histograms.Keywords: regularity index, randomness index, m-ary strings.Resumen Las nociones deíndice de regularidad y deíndice de aleatoriedad previamente introducidas para cadenas binarias (2-arias) son modificadas ligeramente y generalizadas para cadenas m-arias (m = 2, 3, 4, . . .). Dichas nociones resultan complementarias y la dicotomía regular-aleatorio es sustituida por una gradación de valores de regularidad y de aleatoriedad. Con el enfoque utilizado, cuanto más regular es una cadena m-aria menos aleatoria debe ser considerada y viceversa. Las distribuciones de frecuencias de cadenas -de diversas longitudes-2-arias y 3-arias en función de susíndices de aleatoriedad son presentadas mediante histogramas.Palabras clave:índice de regularidad,índice de aleatoriedad, cadenas m-arias.Mathematics Subject Classification: 49J55.

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Exploring RANDOMNESS

Cited by 87 publications

References 0 publications

Continuous sky view factor maps from high resolution urban digital elevation models

Continuous sky view factor maps from high resolution urban digital elevation models

Randomness relative to Cantor expansions

Indices of regularity and indices of randomness for m-ary strings

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