The strong subadditivity of entropy plays a key role in several areas of physics and mathematics. It states that the entropy S[̺] = −Tr ( ̺ ln̺ ) of a density matrix ̺123 on the product of three Hilbert spaces satisfies S[̺123] − S[̺23] ≤ S[̺12] − S[̺2]. We strengthen this to S[̺123]−S[̺12] ≤ ∑ α n ( S[̺ 23 ]−S[̺α 2 ] ) , where the n are weights and the ̺ 23 are partitions of ̺23. Correspondingly, there is a...

1 Introduction Kolmogorov-Sinai entropy (K-S entropy) is used to analyze radio wave intensity time series of quasars. K-S entropy measures the rate of change of probability with the change of dimension that trajectory points in the embedding space stay within a distance r [1]. The K-S entropy analysis method is a powerful formalism for describing dynamics of time series [1]. m-dimensional K-S e...

OBJECTIVE To study the effects of S-ketamine on the EEG and to investigate whether spectral entropy of the EEG can be used to assess the depth of hypnosis during S-ketamine anesthesia. METHODS The effects of sub-anesthetic (159 (21); mean (SD) ng/ml) and anesthetic (1,959 (442) ng/ml) serum concentrations of S-ketamine on state entropy (SE), response entropy (RE) and classical EEG spectral po...

We present the first exponentiation algorithm that uses the entropy of the source of the exponent to improve on existing exponentiation algorithms when the entropy is smaller than (1 + w(S)/l(S)), where w(S) is the Hamming weight of the exponent, and l(S) is its length. For entropy 1 it is comparable to the best-known general purpose exponentiation algorithms.

using gaussian 03, software the thermodynamic functions such as gibbs free energy, g, enthalpy, h, and entropy, s, of alanine and valine amino acids were theoretically studied at different solvents. first, the density functional theory (b3lyp) level with 3-21g, 6-31g and 6-31+g basis sets were employed to optimization of isolated alanine and valine amino acids in the gas phase. moreover, vib...

the interaction of fe2+ ion with pyrazole was theoretically studied by gussian 03, software at hf/(lanl2dz+6-31g) and hf/ (lanl2dz+6-31g (d)) levels in gas phase and solution. in this study acompartion between optimized structures of pyrazole molecule in aspect of thermodynamicparameters such as enthalpy (h°), gibbs free energy (g°) and entropy (s°) in presence of metallic ion(fe2+), was perfor...