Knowing each entropy's strengths and of limitations is essential to ensure the proper improvement of this research field.Īpplication areas entropy measures information theory time-series. 8 Technically, entropy, from this perspective, is defined as a thermodynamic property which serves as a measure of how close a system is to equilibriumthat is, to perfect.
7 Entropy and disorder also have associations with equilibrium. The universe of entropies is growing each day, either due to the introducing new variants either due to novel applications. (For instance, in a process where heat energy is transferred to an object, the entropy of the process is the amount of heat divided by the temperature (S Q /. A measure of disorder in the universe or of the unavailability of the energy in a system to do work. Based on the ten research areas with the most significant number of records obtained in the Web of Science and Scopus, the areas in which the entropies are more applied are computer science, physics, mathematics, and engineering. The Shannon/differential, the Tsallis, the sample, the permutation, and the approximate entropies were the most cited ones. The number of citations over the past sixteen years of each paper proposing a new entropy was also accessed. A hypothesis about the averaged initial state and its perturbations is put forward, describing the entropy of the hot Universe (due to damping of. The purpose is to answer research questions such as: How did each entropy emerge? What is the mathematical definition of each variant of entropy? How are entropies related to each other? What are the most applied scientific fields for each entropy? We describe in-depth the relationship between the most applied entropies in time-series for different scientific fields, establishing bases for researchers to properly choose the variant of entropy most suitable for their data.
This paper presents The Entropy Universe, which aims to review the many variants of entropies applied to time-series. Since then, it has been continually extended, interpreted, and applied by researchers in many scientific fields, such as general physics, information theory, chaos theory, data mining, and mathematical linguistics. About 160 years ago, the concept of entropy was introduced in thermodynamics by Rudolf Clausius.
0 kommentar(er)
