Geometric block-coherence and quantum state discrimination

Quantum coherence with respect to orthonormal bases has been studied extensively in the past few years. From the perspective of operational meaning, geometric coherence can be equal to the minimum error probability to discriminate a set of pure states [J. Phys. A: Math. Theor. 51, 414005 (2018)]. By regarding coherence as a physical resource, Baumgratz et al. [Phys. Rev. Lett. 113, 140401 (2014)] presented a comprehensive framework for coherence. Recently, geometric block-coherence as an effective block-coherence measure has been proposed. In this paper, we reveal an equivalence relationship between mixed quantum state discrimination task and geometric block-coherence, which provides an operational interpretation for geometric block-coherence and generalizes the main result in coherence resource theory. Meanwhile, we show that partial coherence is a special case of block-coherence. By linking the relationship between geometric partial coherence and quantum state discrimination tasks, we show that the value range of the two measures is the same. Finally, we reveal the relationship between geometric POVM-based coherence and quantum state discrimination task.

Equivalence between positive and negative refractive index materials in electrostatic cloaks

We investigate, both theoretically and numerically, the equivalence relationship between the positive and negative refraction index dielectric materials in electrostatic invisibility cloak. We have derived an analytical formula that enables fast calculate the corresponding positive dielectric constant from the negative refraction index material. The numerical results show that the negative refraction index material can be replaced by the positive refractive index materials in the static field cloak. This offers some new viewpoints for designing new sensing systems and devices in physics, colloid science, and engineering applications.

THE TWO-STEP APPROACH FOR WHOLE-CORE RESONANCE SELF-SHIELDING CALCULATION

A two-step approach is proposed to accomplish high-fidelity whole-core resonance self-shielding calculation. Direct slowing-down equation solving based on the pin-cell scale is performed as the first step to simulate different operating conditions of the reactor. Resonance database is fitted using the results from the pin-cell calculation. Several techniques are used in the generation of the resonance database to estimate multiple types of resonance effects. The second step is the calculation of practical whole-core problem using the resonance database obtained from the first step. The transport solver is embedded both at the first step and the second step to establish the equivalence relationship between the fuel rod in the practical problem and the pin-cell at the first step. The numerical results show that the new approach have capability to perform high-fidelity resonance calculations for practical problem.

Factor Cluster Analysis of Qingdao Port Logistics Competitiveness

In order to make clear the positioning of the port logistics competitiveness of Qingdao Port among the major coastal ports in China, recognize the development level and shortcomings of its own port, and promote the enhancement of its own port logistics competitiveness, this paper uses the factor analysis method and fuzzy equivalence relationship clustering method to select 17 evaluation indicators from the two dimensions at the port hardware level and software level, respectively. Based on the relevant index data of nine major coastal ports in China including Qingdao Port from 2019, this paper makes a comparative analysis on the competitiveness of Qingdao Port in major coastal port groups in China. The results reflect the differences in the competitiveness of port logistics, and find the weaknesses of Qingdao Port in the strength of the port logistics industry, port transport conditions, etc., so as to improve and enhance the competitiveness of port logistics, such as increasing the proportion of port fixed investment, and speeding up the adjustment of transport structure.

Testing Spatial Hearing and the Development of Kunstkopf Technology, 1957–1981

The concept of Kunstkopf (artificial head) recording emerged in the 1930s, but it was not until the 1960s that three German research groups started to build new dummy heads. They had different research agendas and experimental setups. Artificial heads captured sounds for listening tests but were also used for electroacoustic measurements. Initially, testing with and of the Kunstkopf neatly combined scientific with industrial agendas. This chapter describes how the research teams conceptualized and investigated the epistemic and technical aspects of Kunstkopf technology. It shows both that artificial heads were deployed to render listening tests more reliable and that the Kunstkopf itself was tested to construct an equivalence relationship between binaural technology and human spatial hearing. Tests and measurements constituted a complex process of argumentation in which the Kunstkopf played different roles in the experimental system: epistemic object, technical instrument, black box replacing human test subjects, and commercial sound reproduction system.

El sujeto en transición, una nueva subalternidad en el teatro chileno: análisis de "Flores de papel" y "El loco y la triste"

El presente ensayo plantea mediante un análisis comparado una entrada de lectura para los textos Flores de papel, de Egon Wolff, y El loco y la triste, de Juan Radrigán. Con esto se pretende establecer una relación de equivalencia en tanto que en ambas obras la resistencia del subalterno se manifiesta a través de la configuración del espacio y del discurso marginal. Para el desarrollo de la propuesta se utilizarán algunas nociones de Mijail Bajtín, Gayatri Spivak, Enrique Luengo, Zygmunt Bauman y Georg Simmel, todas enfocadas a los poderes del discurso y a las circunstancias en que se produce la enunciación. Por encima de caracterizaciones abstractas, la idea es confirmar la presencia de un sujeto en transición que no se identifica plenamente con el bloque dominante ni con el dominado. This essay proposes, through a comparative análisis, a reading entry for the texts Flores de papel, by Egon Wolff, and El loco y la triste, by Juan Radrigán. The idea is establishing an equivalence relationship in that in both works the resistance of the subaltern is manifested through the configuration of space and marginal discourse. For the development of the proposal will be used some notions of Mikhail Bakhtin, Gayatri Spivak, Enrique Luengo, Zygmunt Bauman and Georg Simmel, all focused on the powers of discourse and the circumstances in which the enunciation occurs. Above abstract characterizations, the idea is to confirm the presence of a subject in transition who does not fully identify with the dominant block or the dominated one.

Spherical collapse with heat dissipation in f(R,T,RμνTμν) gravity

In this paper, we investigate the effects of shear viscosity on a dissipative spherical collapse in the presence of heat dissipation and anisotropic pressure. In the background of [Formula: see text] gravity, where [Formula: see text] is Ricci scalar, [Formula: see text] constitutes the trace of energy–momentum tensor, and [Formula: see text], we examine the particular role of shear viscosity on the dynamical equations, and couple it with the heat transport equation, which is interpreted by Israel–Stewart theory. We reacquire the reduction in the inertial mass density of the matter with the addition of viscosity terms, by a factor [Formula: see text] which depends upon the inner states of thermodynamics. With the conformity of the equivalence relationship, the decline in inertial density is very close to gravitational force. To determine the particular results, we construct a relationship of Weyl tensor with distinctive matter variables. We study the inhomogeneous characteristics of energy density in this scenario and examine the significant effects of modified gravity along with shear viscosity.

A Novel Approach to Discover Ontology Alignment

Background: The rise of knowledge-rich applications has made ontologies as a common reference point to link the legacy IT systems. The interoperability and integration of two disparate systems in the same domain demand for the resolution of the heterogeneity problem. The major source of heterogeneity lies in the classical representation scheme of ontologies. Objective: Our objective is to present a novel approach to discover ontology alignment by exploiting the comprehensive knowledge structure, where every entity is represented and stored as a knowledge unit. Method: We have created the dataset ourselves by using protégé tool because no dataset is available based on the idea of comprehensive knowledge structure. Result: The proposed approach always detects correct alignments and achieves optimal or near to optimal performance (in term of precision) in case of equivalence relationship. Conclusion: The aim of this paper is not to make a full-fledged matching/alignment tool, but to emphasize the importance of distinctive features of an entity while performing entity matching. The matchers are therefore used as black boxes and may be filled based on user’s choice.

Stochastic profile of Epstein-Barr virus in nasopharyngeal carcinoma settings

We build a profile of the Epstein-Barr virus (EBV) by means of genomic sequences obtained from patients with nasopharyngeal carcinoma (NPC). We consider a set of sequences coming from the NCBI free source and we assume that this set is a collection of independent samples of stochastic processes related by an equivalence relation. Given a collection {(Xjt)t∈ℤ}pj=1 of p independent discrete time Markov processes with finite alphabet A and state space S, we state that the elements (i, s) and (j, r) in {1, 2,…, p} × S are equivalent if and only if they share the same transition probability for all the elements in the alphabet. The equivalence allows to reduce the number of parameters to be estimated in the model avoiding to delete states of S to achieve that reduction. Through the equivalence relationship, we build the global profile for all the EBV in NPC sequences, this model allows us to represent the underlying and common stochastic law of the set of sequences. The equivalence classes define an optimal partition of {1, 2,…, p} × S, and it is in relation to this partition that we define the profile of the set of genomic sequences.

Reducing nonlinear dynamical systems to canonical forms

A global framework for treating nonlinear differential dynamical systems is presented. It rests on the fact that most systems can be transformed into the quasi-polynomial format. Any system in this format belongs to an infinite equivalence class characterized by two canonical forms, the Lotka–Volterra (LV) and the monomial systems. Both forms allow for finding total or partial integrability conditions, invariants and dimension reductions of the original systems. The LV form also provides Lyapunov functions and systematic tools for stability analysis. An abstract Lie algebra is shown to underlie the whole formalism. This abstract algebra can be expressed in several realizations among which are the bosonic creation–destruction operators. One of these representations allows one to obtain the analytic form of the general coefficient of the Taylor series representing the solution of the original system. This generates a new class of special functions that are solutions of these nonlinear dynamical systems. From the monomial canonical form, one can prove an equivalence relationship between urn processes and dynamical systems. This establishes a new link between nonlinear dynamics and stochastic processes. This article is part of the theme issue ‘Dissipative structures in matter out of equilibrium: from chemistry, photonics and biology (part 1)’.