T-decomposition was first proposed and implemented as an algorithm by Mark Titchener. It has applications in communication of code sets and in the fields of entropy and similarity measurement. The first implementation of a T-decomposition algorithm by Titchener was subsequently followed by a faster version named tcalc, developed in conjunction with Scott Wackrow. An improved T-decomposition alg...

The formal consideration of the concept of interaction in thermodynamic analysis makes it possible to deduce, in the broadest terms, new results related to the coevolution of interacting systems, irrespective of their distance from thermodynamic equilibrium. In this paper I prove the existence of privileged coevolution trajectories characterized by the minimum joint production of internal entro...

We study the entropy of the set traced by an n-step simple symmetric random walk on Z. We show that for d ≥ 3, the entropy is of order n. For d = 2, the entropy is of order n/ log n. These values are essentially governed by the size of the boundary of the trace.

In this paper, we present a novel approach to saliency detection. The method we propose here aims at synthesizing common knowledge of saliency in an image. We define a visually salient region with following two parameters; the spatial redundancy and its local appearance. The former is its probability of occurrence within the image, which is a quantification of the " rarity " of the concerned re...

Based on the data from the Chinese financial market, this paper focuses on analyzing three types of network entropies of the financial market, namely, Shannon, Renyi and Tsallis entropies. The findings suggest that Shannon entropy can reflect the volatility of the financial market, that Renyi and Tsallis entropies also have this function when their parameter has a positive value, and that Renyi...

Exergy is a concept that is gaining an increasingly wider recognition as a proper measure for the actual energy resources consumed, when energy is used. Energy as such is indestructible, but exergy is not. As entropy is generated while energy is used, exergy is consumed. Exergy can be interpreted as the qualitative content of energy, or as energy in its highest quality. Therefore, there is an i...

This article examines different indicators of text properties – such as entropy, repeat rate, and arc length – and their distribution. All of these can be described as indicators of the vocabulary richness of the texts, as there is a very strict linear relationship between them.

It is shown that small, local disturbances of entropy in the atmosphere may give rise to " sound " waves propagating with the wind velocity.

This review provides a summary of methods originated in (non-equilibrium) statistical mechanics and information theory, which have recently found successful applications to quantitatively studying complexity in various components of the complex Entropy 2013, 15 4845 system Earth. Specifically, we discuss two classes of methods: (i) entropies of different kinds (e.g., on the one hand classical S...

Article history: Received 14 January 2011 Received in revised form 8 April 2011 Accepted 2 May 2011 Available online xxxx