We investigate bipartite entanglement in spin-1/2 systems on a generic lattice. For states that are an equal superposition of elements of a group G of spin flips acting on the fully polarized state |0〉 , we find that the von Neumann entropy depends only on the boundary between the two subsystems A and B. These states are stabilized by the group G. A physical realization of such states is given ...

We present a quantitative, population genetics based physico-chemical model which predicts the stationary probability of observing an amino acid residue based on the optimal residue for the site and the sensitivity of the protein functionality to deviation from the optimum. We contextualize our physico-chemical model by comparing it to the more general, but less biologically meaningful models o...

We propose the notion of {\it resistance of a graph} as an accompanying notion of the structure entropy to measure the force of the graph to resist cascading failure of strategic virus attacks. We show that for any connected network $G$, the resistance of $G$ is $\mathcal{R}(G)=\mathcal{H}^1(G)-\mathcal{H}^2(G)$, where $\mathcal{H}^1(G)$ and $\mathcal{H}^2(G)$ are the one- and two-dimensional s...

interactions of cationic tetrakis (n,n´,n´´,n´´´-tetramethyltetra-3,4-pyridinoporphyrazinatocobalt(ii) (co(tmtppa)) with synthetic polynucleotides, poly(a-t), poly(g-c) and calf thymus dna have been characterized in 5 mm phosphate buffer, ph 7.2, by optical absorption and fluorescence spectroscopy. the appearance of hypochromicity effect and the red shift in uv-vis spectrum of porphyrazine was ...

The present study carefully examined entropy generation during wustite pellet reduction to sponge iron. The finite volume method was used to solve the governing equations. The grain model was used to simulate the reaction rate. The reactant gases including carbon monoxide and hydrogen were converted to water and carbon dioxide after wustite reduction. Entropy is generated by heat transfer, mass...

We describe the g-factor which relates probability distributions on image features to distributions on the images themselves. The g-factor depends only on our choice of features and lattice quantization and is independent of the training image data. We illustrate the importance of the g-factor by analyzing Minimax Entropy Learning (MEL) [8] (which learns image distributions in terms of clique p...

Let X be a compact Kähler manifold of complex dimension n, and let G be a connected solvable subgroup of the automorphism group Aut(X). Let N(G) be the normal subgroup of G of elements of null entropy. The aim of this short paper is to show that G/N(G) is a free abelian group of rank ≤ n− 1 and that the rank estimate is optimal. This proves the conjecture of Tits type in [6] affirmatively. The ...

Let (G, ·) be an arbitrary cyclic group of composite order N with G ' G1×G2. We present a generic algorithm for solving the discrete logarithm problem in G with Hamming weight δ logN , δ ∈ (0, 1), in time Õ( √ p+ √ |G2| H(δ) ), where p is the largest prime divisor in G1 and H(·) is the binary entropy function. Our algorithm improves on the running time of Silver-Pohlig-Hellman’s algorithm whene...

Given a function f from [0, 1] to the real line, we consider the (nonlinear) functional h obtained by evaluating the continuous entropy of the “density function” of f . Motivated by an application in signal processing, we wish to estimate h(f). Our main tool is a decomposition of h into two terms, which each have favorable scaling properties. We show that, if functions f and g satisfy a regular...

congestive heart failure (chf) remains to be one of the major cardiovascular disorders in the world. due to the prevalence of chf related issues, it is prudent to seek out new prognostic predictors that would facilitate the prevention, monitoring, and treatment of the disease on a daily basis. a detection approach using entropy measures extracted from surface electrocardiograms (ecgs) and class...