There are numerous characterizations of Shannon entropy and Tsallis entropy as measures of information obeying certain properties. Using work by Faddeev and Furuichi, we derive a very simple characterization. Instead of focusing on the entropy of a probability measure on a finite set, this characterization focuses on the “information loss”, or change in entropy, associated with a measure-preser...

This memo contains proofs that the Shannon entropy is the limiting case of both the Renyi entropy and the Tsallis entropy, or information. These results are also confirmed experimentally. We conclude with some general observations on the utility of entropy measures. A brief summary of the origins of the concept of physical entropy are provided in an appendix.

using satellite imagery for the study of earth's resources is attended by manyresearchers. in fact, the various phenomena have different spectral response inelectromagnetic radiation. one major application of satellite data is the classification ofland cover. in recent years, a number of classification algorithms have been developed forclassification of remote sensing data. one of the most nota...

market volatility remains one of the most important research fields in agricultural economics.interestingly, price transmission mechanism seems to be symmetric in sectors that are likely to be of high political power.this paper analyzes the price transmission effects from international markets to domestic markets for corn in iran. for this purpose, we estimate the elasticity of substitution bet...

background the importance of proper qualitative evaluation of eeg parameters during surgery has been recognized since many years. although none of the characteristics based on the frequency, entropy, and bi spectral characteristics have been regarded as a good predictor for detection of the depth of anesthesia alone. so it seems necessary to study multiple characteristics together. objectives i...

nowadays, water supply for sustainable development is one of the most important concerns and challenges in most countries of the world. due to determination of groundwater potential zones are one of the important tools in the conservation, management and utilization of water resources. thus, the present study aimed to prioritize the effective factors on groundwater potential and its susceptibil...