We consider the generalized differential entropy of normalized sums of independent and identically distributed (IID) continuous random variables. We prove that the Rényi entropy and Tsallis entropy of order α (α > 0) of the normalized sum of IID continuous random variables with bounded moments are convergent to the corresponding Rényi entropy and Tsallis entropy of the Gaussian limit, and obtai...

The purpose of this paper is to investigate the EGM method and the behavior of a solid particle suspended in a twodimensional rectangular cavity due to conjugate natural convection. A thermal lattice Boltzmann BGK model is implemented to simulate the two dimensional natural convection and the particle phase was modeled using the Lagrangian–Lagrangian approach where the solid particles are treat...

We study the categorical entropy and counterexamples to Gromov–Yomdin type conjecture via homological mirror symmetry of K3 surfaces established by Sheridan–Smith. introduce asymptotic invariants quasi-endofunctors dg categories, called Hochschild entropy. It is proved that lower bounded Furthermore, motivated Thurston’s classical result, we prove existence a symplectic Torelli mapping class po...

abstract   background: the survival curves generally have been used for analysis of cell survival under stress conditions. they depict the relationship between the fraction of cells retaining their reproductive integrity and the absorbed dose. the median lethal dose, lethal concentration, 50% (lc 50 ) of a  toxin ,  radiation , or  pathogen  is the  dose required to kill half the members of a t...

this work presents a numerical analysis of entropy generation in γ-shaped enclosure that was submitted to the natural convection process using a simple thermal lattice boltzmann method (tlbm) with the boussinesq approximation.  a 2d thermal lattice boltzmann method with 9 velocities, d2q9, is used to solve the thermal flow problem. the simulations are performed at a constant prandtl number (pr ...

conclusions the loss of hrc at the onset of admission may predict mortality in patients with blunt trauma. lower entropy, in recently admitted patients with intra-abdominal bleeding, may indicate laparotomy when the vital signs are stable. background nonlinear analysis of heart rate variability (hrv) has been recently used as a predictor of prognosis in trauma patients. objectives we applied no...

business cost is acknowledged as one of the priorities in smes research. in thisstudy, the business cost of smes in shanghai was primarily measured using factor-entropy analysis method. the purpose of this study is to effectively resolve the issueof simplification and assignment evaluation index system on business costs of smesin shanghai. however, this study uses factor analysis to interpret t...