STATISTICAL LAWS OF DRAINAGE NETWORK COMPOSITION

An Analysis of the Laws of Drainage Net Composition

Two of the geomorphic Laws of Drainage Net Composition are discussed and it is shown that they are essentially abstract mathematical relationships that hold for any bifurcating system. Some of the geomorphic factors that determine the value of the characteristic coefficients that are obtained by application of the Laws to single nets are also discussed.

Laws of Pattern Composition

Design patterns are rarely used on their own. They are almost always to be found composed with each other in real applications. So it is crucial that we can reason about their compositions. In our previous work, we defined a set of operators on patterns so that pattern compositions can be represented as expressions on patterns. In this paper, we investigate the algebraic properties of these ope...

Statistical laws in linguistics

Zipf’s law is just one out of many universal laws proposed to describe statistical regularities in language. Here we review and critically discuss how these laws can be statistically interpreted, fitted, and tested (falsified). The modern availability of large databases of written text allows for tests with an unprecedent statistical accuracy and also a characterization of the fluctuations arou...

Statistical Analysis of Longitudinal Network Data with Changing Composition

Markov chains can be used for the modeling of complex longitudinal network data. One class of probability models to model the evolution of social networks are stochastic actor-oriented models for network change proposed by Snijders (1996, 2001). These models are continuous-time Markov chain models that are implemented as simulation models. In this paper an extension of the simulation algorithm ...

Notes on Bhargava’s composition laws