The Distribution Function of a Probability Measure on a Linearly Ordered Topological Space

In this paper, we describe a theory of a cumulative distribution function on a space with an order from a probability measure defined in this space. This distribution function plays a similar role to that played in the classical case. Moreover, we define its pseudo-inverse and study its properties. Those properties will allow us to generate samples of a distribution and give us the chance to calculate integrals with respect to the related probability measure

Investigational Drugs for the Treatment of Postherpetic Neuralgia: Systematic Review of Randomized Controlled Trials

The pharmacological treatment of postherpetic neuralgia (PHN) is unsatisfactory, and there is a clinical need for new approaches. Several drugs under advanced clinical development are addressed in this review. A systematic literature search was conducted in three electronic databases (Medline, Web of Science, Scopus) and in the ClinicalTrials.gov register from 1 January 2016 to 1 June 2023 to identify Phase II, III and IV clinical trials evaluating drugs for the treatment of PHN. A total of 18 clinical trials were selected evaluating 15 molecules with pharmacological actions on nine different molecular targets: Angiotensin Type 2 Receptor (AT2R) antagonism (olodanrigan), Voltage-Gated Calcium Channel (VGCC) 2 subunit inhibition (crisugabalin, mirogabalin and pregabalin), Voltage-Gated Sodium Channel (VGSC) blockade (funapide and lidocaine), Cyclooxygenase-1 (COX-1) inhibition (TRK-700), Adaptor-Associated Kinase 1 (AAK1) inhibition (LX9211), Lanthionine Synthetase C-Like Protein (LANCL) activation (LAT8881), N-Methyl-D-Aspartate (NMDA) receptor antagonism (esketamine), mu opioid receptor agonism (tramadol, oxycodone and hydromorphone) and Nerve Growth Factor (NGF) inhibition (fulranumab). In brief, there are several drugs in advanced clinical development for treating PHN with some of them reporting promising results. AT2R antagonism, AAK1 inhibition, LANCL activation and NGF inhibition are considered first-in-class analgesics. Hopefully, these trials will result in a better clinical management of PHNTraining University Lecturers program (FPU21/02736) of the Spanish Ministry of Economy and Competitiveness (MINECO

AdS/QCD Modified Soft Wall Model and Light Meson Spectra

We analyze here the mass spectrum of light vector and scalar mesons applying a novel approach where a modified soft wall model that includes a UV-cutoff at a finite $z$-position in the AdS space is used, thus introducing an extra energy scale. For this model, we found that the masses for the scalar and vector spectra are well fitted within $\delta_{RMS}=7.64\%$ for these states, with non-linear trajectories given by two common parameters, the UV locus $z_{0}$ and the quadratic dilaton profile slope $\kappa$. We also conclude that in this model, the $f_{0}(500)$ scalar resonance cannot be fitted holographycally as a $q\overline{q}$ state since we cannot find a trajectory that include this pole. This result is in agreement with the most recent phenomenological and theoretical methods.Comment: 4 pages, no figures, conference pape

Access and retention: experiences of non-traditional learners in higher education: final report: public part

This final report will primarily be of interest to those working in the higher education (HE) sector across Europe and beyond. Within higher education institutions it will be of especial interest to senior management and policy makers, middle managers responsible for programmes, lecturers, researchers, those working in student support services, admissions and widening participation initiatives as well as students themselves and the Students’ Unions. It is also aimed at policy organisations and bodies working in higher education, such as the Higher Education Funding Council for England (HEFCE) in England, Government departments and EU policy makers. The project focused on access, retention and drop-out in higher education institutions in relation to non-traditional students (younger and adults) on undergraduate degree programmes and the factors which promote or inhibit this. With the growth of mass higher education systems retention has become an important and rising concern for policy-makers at national and European levels. It is considered a measure of efficiency of higher education with implications in terms of the needs of the economy and as a return on investment to individuals, society and the whole EU. It is also a key factor in promoting a growing diversification and equity across the higher education sector. By ‘non-traditional’ we mean students who are under-represented in higher education and whose participation in HE is constrained by structural factors. This includes, for example, first generation entrants, students from low-income families, students from (particular) minority ethnic groups, mature age students, and students with disabilities. (This definition takes into account issues of class and gender). We were particularly interested in looking at and understanding why some students from under-represented and disadvantaged backgrounds learn effectively, assume an undergraduate learner identity and complete their degree successfully while others from similar backgrounds do not. We were also interested in identifying the learning, teaching and support processes which help non-traditional students to become effective and successful learners. Institutional cultures and structures also impact on a learners’ identity so these aspects were also explored and examined

Projective system approach to the martingale characterization of the absence of arbitrage

The equivalence between the absence of arbitrage and the existence of an equivalent martingale measure fails when an infinite number of trading dates is considered. By enlarging the set of states of nature and the probability measure through a projective system of topological spaces and Radon measures, we characterize the absence of arbitrage when the time set is countable

Optimal Fair Scheduling in S-TDMA Sensor Networks for Monitoring River Plumes

Underwater wireless sensor networks (UWSNs) are a promising technology to provide oceanographers with environmental data in real time. Suitable network topologies to monitor estuaries are formed by strings coming together to a sink node.This network may be understood as an oriented graph. A number of MAC techniques can be used in UWSNs, but Spatial-TDMA is preferred for fixed networks. In this paper, a scheduling procedure to obtain the optimal fair frame is presented, under ideal conditions of synchronization and transmission errors. The main objective is to find the theoretical maximum throughput by overlapping the transmissions of the nodes while keeping a balanced received data rate from each sensor, regardless of its location in the network. The procedure searches for all cliques of the compatibility matrix of the network graph and solves a Multiple-Vector Bin Packing (MVBP) problem. This work addresses the optimization problem and provides analytical and numerical results for both the minimum frame length and the maximum achievable throughput

Using Genetic Algorithms with Variable-length Individuals for Planning Two-Manipulators Motion

International Conference on Artificial Neural Networks and Genetic Algorithms. 01/01/1997. NorwichA method based on genetic algorithms for obtaining coordinated motion plans of manipulator robots is presented. A decoupled planning approach has been used; that is, the problem has been decomposed into two subproblems: path planning and trajectory planning. This paper focuses on the second problem. The generated plans minimize the total motion time of the robots along their paths. The optimization problem is solved by evolutionary algorithms using a variable-length individuals codification and specific genetic operators

Multi-Utilitarian Bargaining Solutions.

This paper introduces and analyzes the class of multi-utilitarian solutions for cooperative bargaining problems. We show that generalized Gini solutions and inequality averse Choquet bargaining solutions are particular cases of this new multi-valued solution concept and provide a complete characterization of inequality averse multi-utilitarian solutions in which an invariance property consisting of a weakening of both the linear invariance axiom in Blackorby et al. (1994) and the restricted invariance axiom in Ok and Zhou (2000). Moreover, by relaxing the assumptions involved in the characterization, the class is extended to include equality averse multi-utilitarian solutions which are also studied in the paper.Axiomatic bargaining theory, multi-valued bargaining solutions, generalized Gini solutions, inequality adverse Choquet solutions.