A general ansatz for gravitational entropy can be provided using the criterion that, any patch of area which acts as a horizon for a suitably defined accelerated observer, must have an entropy proportional to its area. After providing a brief justification for this ansatz, several consequences are derived: (i) In any static spacetime with a horizon and associated temperature β, this entropy sat...

From the partition function of canonical ensemble we derive the entropy of the de Sitter space by anti-Wick rotation. And then from the one-loop bubble S 2 × S 2 created from vacuum fluctuation in de Sitter background space, we obtain the one-loop quantum correction to the entropy of de Sitter space.

The anomalous conformal transformation law of the generalized entropy is found for dilaton gravity coupled to a 1+1 conformal matter sector with central charges c = c̃. (When c 6= c̃ the generalized entropy is not invariant under local Lorentz boosts.) It is shown that a certain second null derivative of the entropy, S′′ gen + (6/c)(S ′ out) , is primary, and therefore retains its sign under a ge...

For a circle map $f\colon\mathbb{S}\to\mathbb{S}$ with zero topological entropy, we show that non-diagonal pair $\langle x,y\rangle\in \mathbb{S}\times \mathbb{S}$ is non-separable if and only it an IN-pair IT-pair. We also null then the maximal pattern entropy of every open cover polynomial order.

A flow in a category X is an object X of X provided with an endomorphism T : X → X in X. In most of the cases X will be the category of (topological) groups and (continuous) group homomorphisms, the category of right modules over a ring R and the R-module homomorphisms, or just the category of topological (resp., measure) spaces and continuous (resp., measure preserving) maps. An isomorphism be...

S-box is keystone of modern symmetric such as block and stream ciphers. It is essential component in the layout of any block system. The properties of S-boxes in Blowfish algorithm (BA) namely; Avalanche Criterion (AVAL), Strict Avalanche Criterion (SAC) and Bit Independence Criterion (BIC) are used to measure the security of the S-boxes in BA. This paper attempts to analyze these properties (A...

The von Neumann entropy and the subentropy of a mixed quantum state are upper and lower bounds, respectively, on the accessible information of any ensemble consistent with the given mixed state. Here we define and investigate a set of quantities intermediate between entropy and subentropy. PACS numbers: 03.67.-a, 89.70.+c, 65.40.Gr 1 1 Entropy and subentropy The von Neumann entropy of a quantum...

s of the talks Alexander Aptekarev, Keldysh Institut, Moscow (Russia) Title:” On a discrete entropy of ortogonal polynomials” Abstract: We shall discuss geometrical meaning of the discrete entropy of the eigenvector basis and particularly eigenvectors formed by orthogonal polynomials. The we present a nice new formula for the discrete entropy of Tchebyshev polynomials. It is joint work with J.S...

BACKGROUND It is now possible to acquire and process raw EEG and frontal EMG signals to produce two spectral-entropy-based indices (response entropy and state entropy) reflective of analgesic and hypnotic levels during general anaesthesia (with the Datex-Ohmeda S/5 Entropy Module, Datex-Ohmeda, Helsinki, Finland). However, there are no data available on the accuracy of the Entropy Module in est...

The thermodynamic functions such as enthalpy (H), Gibbs free energy (G) and entropy (S) of Serineand Threonine amino acids were theoretically studied at different condition (solvents andtemperatures) by using Gussian o3, software. First, the structural optimization of isolated Serine andThreonine were done in the gas phase by using the Hartree-Fock (HF) level of theory with 3-21G, 6-31G and 6-3...