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We prove a uniqueness result for autonomous divergence-free systems of ODE's in the plane and give an application to the study of water flows with vorticity.
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In this paper we present algorithms to compute finite state automata which, given any rational language, recognize the languages of normal words and n-chains. We also show how these automata can be used to compute the Hilbert series and Poincaré series for any algebra with a rational set of leading words of its minimal Gröbner basis.
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Historically, labor supply elasticities have been used to evaluate tax policy and predict tax revenue effects. They are likely to underestimate taxpayers' response to tax rate changes, and hence to underestimate changes in potential tax revenues, however, because they measure only how taxpayers alter hours worked. Taxpayers can also respond to tax rate changes by altering, for instance, their work
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Building on the growing body of literature bridging international relations and historical sociology, this article argues that "consolidologists" have something to learn from this field. The discussion's point of departure is contemporary writings on sovereignty, security, and state formation in the African context. In an effort to synthesize insights from international relations and historical so
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Background: In most clubfoot studies, the outcome instruments used are designed to evaluate classification or long-term cross-sectional results. Variables deal mainly with factors on body function/structure level. Wide scorings intervals and total sum scores increase the risk that important changes and information are not detected. Studies of the reliability, validity and responsiveness of these i
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High-spin terminating bands in heavy nuclei were first identified in nuclei around Er-158(90). While examples of special terminating states have been identified in a number of erbium isotopes, almost nothing is known about the states lying beyond band termination. In the present work the high-spin structure of Er-157 has been studied using the Gammasphere spectrometer. The subject of triaxial supe
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A disaccharide scaffold based on galabiose (Gal1–4Gal) was synthesized. Four different acceptors were evaluated in the -galactosylation and a relationship between the nucleophilicity, yield, and /-selectivity was found. The scaffold contains two orthogonal derivatisation sites, i.e. at O-2′ and the anomeric position, and as proof of concept, one derivatised galabioside was synthesized. Compounds b
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It has been suggested that bone mineral density (BMD) measurements should be made at multiple sites, and that the lowest T-score should be taken for the purpose of diagnosing osteoporosis. The aim of this study was to examine the use of BMD measurements at the femoral neck and lumbar spine alone and in combination for fracture prediction. We studied 19,071 individuals (68% women) from six prospect
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Specific antiarrhythmic therapy with class I and III drugs for atrial fibrillation (AF) conversion and prevention of its recurrence is frequently utilized in clinical practice. Besides being only moderate effective, the utilization of antiarrhythmic drugs may be associated with serious side effects. In the clinical setting it is difficult to directly evaluate the effects of antiarrhythmic drugs on
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A time-dependent mathematical model for the heat transfer in laser-induced hyperthermia has been developed. The model calculates the temperature distribution in surface-irradiated tissues. Good agreement was found between the predictions of the model and in vitro experimental results obtained for bovine liver irradiated with an expanded beam from a Nd:YAG laser. Surface evaporation of water was in
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Between 1999 and 2005, 10 264 patients who had undergone total hip replacement (THR) for subcapital fracture of the hip were compared with 76 520 in whom THR had been performed for other reasons. All the cases were identified through the Swedish Hip Arthroplasty Register. The THRs performed as primary treatment for fracture were also compared with those done after failure of internal fixation. Aft
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Proteome analysis involves many steps that generate large quantities of data in different formats. This creates a need for automatic data merging and extraction of important features from data. Furthermore, metadata need to be collected and reported to enable critical evaluation of results. Many data analysis tools are developed locally in research laboratories and are nontrivial to adapt for othe
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BACKGROUND: Several surveys show that patients with chronic heart failure (CHF) are sub-optimally managed and treatment guidelines are not implemented in clinical practice. AIMS: To investigate awareness and perceptions of the 2005 European Society of Cardiology (ESC) guidelines for CHF. METHODS: 467 cardiologists from seven European countries completed an on-line interview using a validated, semi
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We investigated whether renal function and microalbuminuria are independent predictors and whether any interaction exists between them, regarding future cardiovascular disease in hypertensive patients (n=10 881) followed for 4.5 years. The primary end points (PEs) were fatal and nonfatal myocardial infarction and stroke and other cardiovascular deaths. Creatinine and glomerular filtration rate (GF
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This paper supplements a previous review of the Perrin process for steelmaking with the same focus on its principles, technology and economics. Metallurgically, Perrin's idea of emulsification as a means of achieving rapid reaction also applies to the production of ferro-alloys. However, the larger proportion of the amount of slag in relation to that of metal makes it necessary to use other proced
