Entropy of a correlated system of nucleons

Realistic nucleon-nucleon interactions induce correlations to the nuclear many-body system, which lead to a fragmentation of the single-particle strength over a wide range of energies and momenta. We address the question of how this fragmentation affects the thermodynamical properties of nuclear matter. In particular, we show that the entropy can be computed with the help of a spectral function, which can be evaluated in terms of the self-energy obtained in the self-consistent Green's function approach. Results for the density and temperature dependences of the entropy per particle for symmetric nuclear matter are presented and compared to the results of lowest order finite-temperature Brueckner-Hartree-Fock calculations. The effects of correlations on the calculated entropy are small, if the appropriate quasiparticle approximation is used. The results demonstrate the thermodynamical consistency of the self-consistent T-matrix approximation for the evaluation of the Green's functions.

Quantile based entropy function

Quantile functions are efficient and equivalent alternatives to distribution functions in modeling and analysis of statistical data (see Gilchrist, 2000; Nair and Sankaran, 2009). Motivated by this, in the present paper, we introduce a quantile based Shannon entropy function. We also introduce residual entropy function in the quantile setup and study its properties. Unlike the residual entropy function due to Ebrahimi (1996), the residual quantile entropy function determines the quantile density function uniquely through a simple relationship. The measure is used to define two nonparametric classes of distributions

Dynamic cumulative residual Renyi’s entropy

Recently, cumulative residual entropy (CRE) has been found to be a new measure of information that parallels Shannon’s entropy (see Rao et al. [Cumulative residual entropy: A new measure of information, IEEE Trans. Inform. Theory. 50(6) (2004), pp. 1220–1228] and Asadi and Zohrevand [On the dynamic cumulative residual entropy, J. Stat. Plann. Inference 137 (2007), pp. 1931–1941]). Motivated by this finding, in this paper, we introduce a generalized measure of it, namely cumulative residual Renyi’s entropy, and study its properties.We also examine it in relation to some applied problems such as weighted and equilibrium models. Finally, we extend this measure into the bivariate set-up and prove certain characterizing relationships to identify different bivariate lifetime models

Quantile based entropy function in past lifetime

Di Crescenzo and Longobardi (2002) introduced a measure of uncertainty in past lifetime distributions and studied its relationship with residual entropy function. In the present paper, we introduce a quantile version of the entropy function in past lifetime and study its properties. Unlike the measure of uncertainty given in Di Crescenzo and Longobardi (2002) the proposed measure uniquely determines the underlying probability distribution. The measure is used to study two nonparametric classes of distributions. We prove characterizations theorems for some well known quantile lifetime distributions

Rényi’s residual entropy: A quantile approach

In the present paper, we introduce a quantile based Rényi’s entropy function and its residual version. We study certain properties and applications of the measure. Unlike the residual Rényi’s entropy function, the quantile version uniquely determines the distribution

Thermodynamic functions of element 105 in neutral and ionized states

The basic thermodynamic functions, the entropy, free energy, and enthalpy, for element 105 (hahnium) in electronic configurations d^3 s^2, d^3 sp, and d^4s^1 and for its +5 ionized state (5f^14) have been calculated as a function of temperature. The data are based on the results of the calculations of the corresponding electronic states of element 105 using the multiconfiguration Dirac-Fock method.

Maximum Entropy Discrimination

We present a general framework for discriminative estimation based on the maximum entropy principle and its extensions. All calculations involve distributions over structures and/or parameters rather than specific settings and reduce to relative entropy projections. This holds even when the data is not separable within the chosen parametric class, in the context of anomaly detection rather than classification, or when the labels in the training set are uncertain or incomplete. Support vector machines are naturally subsumed under this class and we provide several extensions. We are also able to estimate exactly and efficiently discriminative distributions over tree structures of class-conditional models within this framework. Preliminary experimental results are indicative of the potential in these techniques.

Lecture on Entropy Coding

Considers entropy, fixed length coding, Huffman coding and arithmetic coding

Matlab Code for Entropy Coding

Considers Huffman coding and arithmetic coding

Les diverses formes pour la compensation dans la protection juridique de l’environnement: un défi pour l’épistémologie juridique

La compensation est un outil d’adaptation entre différents intérêts. Par rapport à l’environnement, il existe une diversité de formes qui appliquent de façon différente l’une de l’autre, la technique de la compensation. Autrement dit, des situations juridiques différentes appliquent la compensation comme une façon de régler un enjeu: on peut la trouver dans la forme d’indemnisation, comme dans de cas de la Fonderie du Trail et la Commission de Compensation des Nations Unies; de réglementation d’un dommage futur, étant une compensation ex ante facto, comme dans le cas de la Convention de Ramsar; et par des voies juridiques qui incitent le comportement privé à travers l’usage de certains outils de marché, comme les Mécanismes de Dèveloppement Propre, ou dans le domaine du droit national, la compensation de la biodiversité française, la «mitigation banking» américaine, la «Servidão Ambiental» Brésilienne, et l’écocompensation chinoise, entre autres. Le défi épistémologique se présente dans la diversité de sources, ainsi que d’acteurs et de domaines d’action dans le cadre juridique environnemental, en y exigeant un élargissement de la vision du droit étatique. Il s’agit aussi d’intégrer une interprétation systémique pour le rapport entre les systèmes juridiques, écologiques et économiques concernés. Il est possible d’utiliser quelques outils comme le pluralisme juridique, la théorie des systèmes et l’analyse économique du droit de l’environnement. Les concepts de corégulation et autorégulation peuvent aussi aider dans cet élargissement. D’ailleurs, des limites sont nécessaires pour l’équilibre entre la mise en oeuvre des intérêts écologiques et économiques. Ces limites sont données par le droit, par l’interprétation systémique, par l’État et par un renforcement de la responsabilité des entités privées. L’analyse presente d’abord les caractéristiques de la compensation dans des instruments économiques et juridiques. Ensuite, il est vérifié comment le pluralisme juridique, l’interprétation systémique, l’analyse économique et les concepts de corégulation et autorégulation peuvent-ils être utiles pour le regard épistémologique de la compensation, ainsi que pour son étude juridique.

The slave trade : should Britain pay compensation for the slave trade?

Estudia el comercio de esclavos, a través de barcos británicos, entre África y América en el siglo XVIII y el movimiento abolicionista como uno de los primeros movimientos modernos de protesta.Para ello utiliza los relatos de primera mano de personajes de la serie de televisión Raíces y fuentes históricas. Se adapta a la etapa clave 3 (key stage 3) de secundaria para historia del programa nacional de estudios.

A Note on the periodic orbits and topological entropy of graph maps

This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits

Distinct Unfolding and Refolding Pathways of Ribonuclease A Revealed by Heating and Cooling Temperature Jumps

Heating and cooling temperature jumps (T-jumps) were performed using a newly developed technique to trigger unfolding and refolding of wild-type ribonuclease A and a tryptophan-containing variant (Y115W). From the linear Arrhenius plots of the microscopic folding and unfolding rate constants, activation enthalpy (ΔH#), and activation entropy (ΔS#) were determined to characterize the kinetic transition states (TS) for the unfolding and refolding reactions. The single TS of the wild-type protein was split into three for the Y115W variant. Two of these transition states, TS1 and TS2, characterize a slow kinetic phase, and one, TS3, a fast phase. Heating T-jumps induced protein unfolding via TS2 and TS3; cooling T-jumps induced refolding via TS1 and TS3. The observed speed of the fast phase increased at lower temperature, due to a strongly negative ΔH# of the folding-rate constant. The results are consistent with a path-dependent protein folding/unfolding mechanism. TS1 and TS2 are likely to reflect X-Pro114 isomerization in the folded and unfolded protein, respectively, and TS3 the local conformational change of the β-hairpin comprising Trp115. A very fast protein folding/unfolding phase appears to precede both processes. The path dependence of the observed kinetics is suggestive of a rugged energy protein folding funne

Speech intelligibility in noise-induced hearing loss: effects of high-frequency compensation

This dissertation examines the frequency response that results in the maximum level of speech intelligibility for persons with noise-induced hearing loss.

Workers' compensation for occupational hearing loss: what we know or don't know

This papers looks at workers' compensation laws for each state to determine if there have been any updates in the laws since a 2000 survey by Dobie and Megerson. The study also examines what information is available to audiologists testing patients in workers' compensation claims.