Minimization problems involving @-entropyfunctionals (ageneralization of Boltzmann-Shannon entropy) are studied over a givenset A and a sequence of sets A, and the properties of their optimalsolutions I@,I,. Under certain conditions on the objective functional andthe sets A and A,, it is proven that as n increases to infinity, the optimalsolution I, converges in Llno...

In general, conventional error correction for inverse synthetic aperture radarimaging consists of range alignment and phase adjustment, which compensate range shift and phase error, respectively. Minimum entropy-based methods have been proposed to realize range alignment and phase adjustment. However, it becomes challenging to align high-resolution profiles when strong noise presents, even usin...

We present a comparison of error-based and entropybased methods for discretization of continuous features. Our study includes both an extensive empirical comparison as well as an analysis of scenarios where error minimization may be an inappropriate discretization criterion. We present a discretization method based on the C4.5 decision tree algorithm and compare it to an existing entropy-based ...

Entropy measures applied to time-frequency signal representations have been found to be reliable indicators of various signal’s features. This paper gives an introduction to the time-frequency signal analysis, emphasizing the properties of time-frequency distributions that allow the application of entropy measures to quantify signals complexity. The paper includes an overview of the key propert...

This is a review of the concepts purpose, direction, and objective in discipline thermodynamics, which pillar physics, natural sciences, life science, engineering science. Reviewed relentless evolution this toward accounting for evolutionary design with establishing concept purpose methodologies modeling, analysis, teaching, optimization. Evolution change after flow access, direction time, purp...

In this paper, convection heat transfer of Al2O3-water nanofluid turbulent flow through internally ribbed tubes with different rib shapes (rectangular, trapezoidal and semi-circular) is numerically investigated. For each rib shape, the optimum geometric ratio and volume fraction were calculated using entropy generation minimization technique. The governing equations in...

Symmetry is a measure of indistinguishability. Similarity is a continuous measure of imperfect symmetry. Lewis' remark that “gain of entropy means loss of information” defines the relationship of entropy and information. Three laws of information theory have been proposed. Labeling by introducing nonsymmetry and formatting by introducing symmetry are defined. The function L ( L=lnw, w is the nu...

In this study, convection flow in microchannel heat sink with offset fan-shaped reentrant cavities in sidewall filled with Fe3O4-water is numerically investigated. The effects of changing some parameters such as Reynolds number and magnetic field are considered. The nanofluid flow is laminar, steady and incompressible, while the thermo-physical properties of nanoparticles were assumed constant....

Laser pulse heating of solid surface and entropy generation during the heating process are considered. Time exponentially decaying pulse is accommodated in the analysis and the laser pulse parameter (b1/b2) resulting in minimum entropy generation rate is computed. Analytical solutions for temperature rise are presented and volumetric entropy generation rate is formulated. Two laser pulses resul...