Scalar Representation and Conjugation of Set-Valued Functions

To a function with values in the power set of a pre-ordered, separated locally convex space a family of scalarizations is given which completely characterizes the original function. A concept of a Legendre-Fenchel conjugate for set-valued functions is introduced and identified with the conjugates of the scalarizations. Using this conjugate, weak and strong duality results are proven.Comment: arXiv admin note: substantial text overlap with arXiv:1012.435

Optimal sequencing of a set of positive numbers with the variance of the sequence's partial sums maximized

We consider the problem of sequencing a set of positive numbers. We try to find the optimal sequence to maximize the variance of its partial sums. The optimal sequence is shown to have a beautiful structure. It is interesting to note that the symmetric problem which aims at minimizing the variance of the same partial sums is proved to be NP-complete in the literature.Comment: 12 pages;Accepted for publication in Optimization Lette

A Simple Empirical Calibration of Energy Dispersive X-Ray Analysis (EDXA) on the Cornea

Monitoring of the corneal electrolyte content is important for the study of chemical eye burns. This paper describes quantitative measurements on gelatin standards, corneas and a cornea homogenate with an energy dispersive X-ray analyzer (EDX) in the scanning electron microscope (SEM). Ten micrometers thick cryosections were freeze-dried and mounted on solid carbon supports. The applied quantification procedure was a local peak background analysis with a specifically designed computer program. Similar chemical and physical properties of gelatin, cornea homogenate, and cornea were proven by EDX-analysis and wet chemical analysis. Gelatin standards with known concentrations of different added salts showed linear correlations with a correlation coefficient higher than 0.95 for all considered elements. The local background generation on carbon supports was the same for gelatin standards and corneal tissue. The results demonstrate that quantitative EDX analysis of semi-thin samples, mounted on neutral carbon supports, can be reliably used for the assessment of the corneal mineral composition

Проектирование системы пожарной сигнализации и разработка системы оповещения автомобильной станции техобслуживания

Объектом исследования является предприятие: Автосервис на Шоссейной. Станция технического обслуживания легковых автомобилей, находиться в городе Юрга, по адресу ул. Шоссейная, д.33 с общей площадью территории предприятия равной 108 м2. Цель работы – Спроектировать оборудование автоматической пожарной сигнализацией и систему оповещения людей о пожаре для станции технического обслуживания «Автомастерская». В процессе исследования проводились анализ; систематизация; проектирование. В результате исследования: на объекте исследования спроектирована система установки автономных тепловых пожарных извещателей «ИП101-1А-А1», в полной мере соответствуюшая предъявляемым требованиям.The object of research is the enterprise: Service at highway. The station maintenance cars, located in the town of Yurga, at ul. Highway, d.33 with a total area of the territory of the enterprise equal to 108 m2. Purpose - designed equipment automatic fire alarm system and warning people about the fire to the service station "body shop". The study carried out an analysis; systematization; design. As a result of the study: on-site study designed mounting system of autonomous heat fire detectors "IP101-1A-A1", fully sootvetstvuyushaya requirements

Status of Superconducting RF Linac Development for APT

This paper describes the development progress of high current superconducting RF linacs in Los Alamos, performed to support a design of the linac for the APT (Accelerator Production of Tritium) Project. The APT linac design includes a CW superconducting RF high energy section, spanning an energy range of 211 to 1030 MeV, and operating at a frequency of 700 MHz with two constant beta sections (beta of 0.64 and 0.82). In the last two years, we have progressed towards build a cryomodule with beta of 0.64. We completed the designs of the 5 cell superconducting cavities and the 210 kW power couplers. We are scheduled to begin assembly of the cryomodule in September 2000. In this paper, we present an overview of the status of our development efforts and a report on the results of the cavity and coupler test program.Comment: LINAC2000 THD1

Hurst's Rescaled Range Statistical Analysis for Pseudorandom Number Generators used in Physical Simulations

The rescaled range statistical analysis (R/S) is proposed as a new method to detect correlations in pseudorandom number generators used in Monte Carlo simulations. In an extensive test it is demonstrated that the RS analysis provides a very sensitive method to reveal hidden long run and short run correlations. Several widely used and also some recently proposed pseudorandom number generators are subjected to this test. In many generators correlations are detected and quantified.Comment: 12 pages, 12 figures, 6 tables. Replaces previous version to correct citation [19

Non-insulin antihyperglycaemic drugs and heart failure: an overview of current evidence from randomized controlled trials.

Type 2 diabetes mellitus (T2DM) is highly prevalent in the general population and especially in patients with heart failure (HF). It is not only a risk factor for incident HF, but is also associated with worse outcomes in prevalent HF. Therefore, antihyperglycaemic management in patients at risk of or with established HF is of importance to reduce morbidity/mortality. Following revision of the drug approval process in 2008 by the Food and Drug Administration and European Medicines Agency, several cardiovascular outcome trials on antihyperglycaemic drugs have recently investigated HF endpoints. Signals of harm in terms of increased risk of HF have been identified for thiazolidinediones and the dipeptidyl peptidase 4 inhibitor saxagliptin, and therefore, these drugs are not currently recommended in HF. Sulfonylureas also have an unfavourable safety profile and should be avoided in patients at increased risk of/with HF. Observational studies have assessed the use of metformin in patients with HF, showing potential safety and potential survival/morbidity benefits. Overall use of glucagon-like peptide 1 receptor agonists has not been linked with any clear benefit in terms of HF outcomes. Sodium-glucose cotransporter protein 2 inhibitors (SGLT2i) have consistently shown to reduce risk of HF-related outcomes in T2DM with and without HF and are thus currently recommended to lower risk of HF hospitalization in T2DM. Recent findings from the DAPA-HF trial support the use of dapagliflozin in patients with HF with reduced ejection fraction and, should ongoing trials with empagliflozin, sotagliflozin, and canagliflozin prove efficacy, will pave the way for SGLT2i as HF treatment regardless of T2DM

Empagliflozin in Heart Failure With Predicted Preserved Versus Reduced Ejection Fraction: Data From the EMPA-REG OUTCOME Trial

Background: In the EMPA-REG OUTCOME trial, ejection fraction (EF) data were not collected. In the subpopulation with heart failure (HF), we applied a new predictive model for EF to determine the effects of empagliflozin in HF with predicted reduced (HFrEF) vs preserved (HFpEF) EF vs no HF. / Methods and Results: We applied a validated EF predictive model based on patient baseline characteristics and treatments to categorize patients with HF as being likely to have HF with mid-range EF (HFmrEF)/HFrEF (EF <50%) or HFpEF (EF ≥50%). Cox regression was used to assess the effect of empagliflozin vs placebo on cardiovascular death/HF hospitalization (HHF), cardiovascular and all-cause mortality, and HHF in patients with predicted HFpEF, HFmrEF/HFrEF and no HF. Of 7001 EMPA-REG OUTCOME patients with data available for this analysis, 6314 (90%) had no history of HF. Of the 687 with history of HF, 479 (69.7%) were predicted to have HFmrEF/HFrEF and 208 (30.3%) to have HFpEF. Empagliflozin's treatment effect was consistent in predicted HFpEF, HFmrEF/HFrEF and no-HF for each outcome (HR [95% CI] for the primary outcome 0.60 [0.31–1.17], 0.79 [0.51–1.23], and 0.63 [0.50–0.78], respectively; P interaction = 0.62). / Conclusions: In EMPA-REG OUTCOME, one-third of the patients with HF had predicted HFpEF. The benefits of empagliflozin on HF and mortality outcomes were consistent in nonHF, predicted HFpEF and HFmrEF/HFrEF

Numerical investigation of nanoporous evaporation using direct simulation Monte Carlo

Evaporation is an effective cooling mechanism widely exploited in the thermal management of modern electronic devices, with a growing interest in the evaporation process in thin film based nanoporous membrane technologies. At such scales, classical approaches fail and one requires solutions of the Boltzmann equation; these are obtained here using the direct simulation Monte Carlo method. In particular, the evaporation from representative nanoporous meniscus shapes, corresponding to different operating conditions, has been investigated. Evaporation rates for the different conditions have been characterized as a function of a wide range of Knudsen numbers and free-stream Mach numbers. Additionally, the influence of porosity and evaporation coefficient on the nanoporous evaporation rates has been assessed. Investigations have also been carried out to consider cases where the meniscus has sunk within the pore, and cooling efficacy compared with cases where the meniscus is pinned to the top of the pore. This work demonstrates that the net evaporative mass flux is ultimately determined by the interplay between various physical effects, whose dominance is quantified by the Knudsen number, porosity, evaporation coefficient and the meniscus shape. This work thus provides useful information for the design of nanoporous membrane-based cooling devices