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This paper is devoted to an extension of Burchnall-Chaundy theory on the interplay between algebraic geometry and commuting differential operators to the case of q-difference operators.

Four types of nanoparticles with core-diffuse shell structures have been synthesized through self-assembly of PICBA-Dextran block copolymers. These nanoparticles are designed to carry pharmaceutically active molecules into the human body through injection into the blood stream. In this work, we have determined how the characteristics of the diffuse shell influence the adsorption of three types of

Abstract in Undetermined Assume that in periods with stochastic demand remain until the next replenishment arrives at a central warehouse. How should the available inventory be allocated among N retailers? This paper presents a new policy and a new lower bound for the expected cost of this problem. The lower bound becomes tight as N -> infinity. The infinite horizon problem then decomposes into N

BACKGROUND: Situational needs of health care facilities inform the optimal allocation of resources and quality improvement efforts. This study examines surgical care delivery metrics at a tertiary care institution in Liberia. METHODS: We retrospectively reviewed operative and ward logbooks from January 1 to December 31, 2012. Data parameters included patients' age, diagnosis, procedure, mortality,

Since 2001 the School of Dentistry of Malmö University in Sweden has used an alternative procedure based on results of an investigation supported by the Swedish Council for the Renewal of Undergraduate Education. The investigation concerned possibilities of predic¬ting school performance on the basis of an interview, as well as tests of general intelligence, spatial ability, manual dexterity, empa

We propose a variational autoencoder to perform improved pre-processing forclustering and anomaly detection on data with a given label. Anomalies howeverare not known or labeled. We call our method conditioned variationalautonencoder since it separates the latent space by conditioning on informationwithin the data. The method fits one prior distribution to each class in thedataset, effectively exp

In this paper we study the Fokker-Planck operator with potential V (x), and analyze some kind of conditions imposed on the potential to ensure the validity of global hypoelliptic estimates (see Theorem 1.1). As a consequence, we obtain the compactness of resolvent of the Fokker-Planck operator if either the Witten Laplacian on 0-forms has a compact resolvent or some additional assumption on the be

A well-known theorem by Tarsi states that a minimally unsatisfiable CNF formula with m clauses can have at most m - 1 variables, and this bound is exact. In the context of proving lower bounds on proof space in k-DNF resolution, [Ben-Sasson and Nordström 2009] extended the concept of minimal unsatisfiability to sets of k-DNF formulas and proved that a minimally unsatisfiable k-DNF set with m formu

The aim of this paper is to show that logic programming is a powerful tool for representing scientific theories and for scientific inference. In a logic program it is possible to encode the qualitative and quantitative components of a theory in first order predicate logic, which is a highly expressive formal language. A theory program can then be handed to an algorithm that reasons about the theor

PURPOSE: To evaluate the effect of population screening on low vision and blindness from open-angle glaucoma.DESIGN: Retrospective cohort study.STUDY POPULATION: A very large population based screening for glaucoma was conducted in Malmö, Sweden, from 1992 to 1997. A total of 42 497 subjects were invited, of which 32 918 were screened and 9579 non-responders, i.e. did not participate.METHODS: The