On Lyapunov-type inequalities for two-dimensional nonlinear partial systems

We establish a new Laypunov-type inequality for two nonlinear systems of partial differential equations and the discrete analogue is also established. As application, boundness of the two-dimensional Emden-Fowler-type equation is proved. Copyright © 2010 Lian-Ying Chen et al.published_or_final_versio

Polar Duals of Convex and Star Bodies

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The Basel III net stable funding ratio adjustment speed and systemic risk

The theory on the timing of liquidity trades highlights two contrasting rational expectations equilibria for the liquidity adjustment speed effect, namely an immediate-trading equilibrium (trade at the onset of the liquidity shock) and a delayed-trading equilibrium (trade at the last resort). Using a partial adjustment model and an annual data sample of US bank holding companies from 1991 to 2012, we investigate the effect of Net Stable Funding Ratio (NSFR) adjustment speeds on systemic risk. We find that banks with the immediate-trading equilibrium tend to adjust the NSFR quickly in response to the Basel III liquidity requirement, thereby, reducing systemic risk. With the same level of the NSFR, our findings suggest that only the adjustment speed exerts a negative impact on systemic risk. Our evidence shows that small banks strengthen the effects of the negative impact of the NSFR adjustment speed on systemic risk. Our study sheds light on a real-time indicator of the NSFR for Basel III revisions before its implementation in 2018

Auditory cueing strategy for stride length and cadence modification: a feasibility study with healthy adults

People with Parkinson's Disease experience gait impairments that significantly impact their quality of life. Visual, auditory, and tactile cues can alleviate gait impairments, but they can become less effective due to the progressive nature of the disease and changes in people's motor capability. In this study, we develop a human-in-the-loop (HIL) framework that monitors two key gait parameters, stride length and cadence, and continuously learns a person-specific model of how the parameters change in response to the feedback. The model is then used in an optimization algorithm to improve the gait parameters. This feasibility study examines whether auditory cues can be used to influence stride length in people without gait impairments. The results demonstrate the benefits of the HIL framework in maintaining people's stride length in the presence of a secondary task.Comment: 6 pages, 4 figures; the paper is accepted and presented at EMBC 202

Population-Based Hospitalization Burden of Influenza A Virus Subtypes and Antigenic Drift Variants in Children in Hong Kong (2004-2011)

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Cathodoluminescence from interband transitions in germanium (111) and gallium arsenide (100) crystals

The cathodoluminescence spectra in n-type Ge(111) and semi-insulating (SI) GaAs(100) were measured in the range 2.20-5.20 eV. We observed five structures at 3.05, 3.22, 3.60, 3.90, and 4.30 eV in n-type germanium which are assigned to interband transitions. These results are similar to those of previous works on p-type Ge(111). For SI GaAs, the five structures observed at 2.95, 3.26, 3.88, 4.28, and 4.96 eV also indicate electron-hole recombination transitions between bands. All these results agree with the predictions of theoretical calculations. For lightly doped germanium, it is observed that the band structure does not depend on doping type. © 1995 The American Physical Society.published_or_final_versio

Design of 2D Time-Varying Vector Fields

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Evaluating extreme rainfall changes over Taiwan using a standardized index

The annual daily maximum precipitation (rx1day) is widely used to represent extreme events and is an important parameter in climate change studies. However, the climate variability in rx1day is sensitive to outliers and has difficulty representing the characteristics of large areas. We propose to use the probability index (PI), based on the cumulative density function (CDF) of a generalized extreme value (GEV) distribution to fit and standardize the rx1day to represent extreme event records in this study. A good correlation between the area-averaged PIs of the observed stations and those of the gridded dataset can be found over Taiwan. From the past PI records, there is no distinct trend in western Taiwan before the end of the 20th century, but a climate regime change happened during 2002 - 2003. The dual change effects from both the variance and linear trend of extreme events are identified over the northeastern and southern parts of Taiwan, along with the island's central and southern regions, showing different abrupt changing trends and intensity. The PI can also be calculated using climate projection data to represent the characteristics of future extreme changes. The climate variability of PIs on the present (ALL) and future (RCP4.5 and RCP8.5) scenarios were evaluated using the 16 Couple Model Intercomparison Projects Phase-5 models (CMIP5). The simulated present fluctuations in PIs are smaller than those of actual observations. In the 21st century, the RCP8.5 scenario shows that the PI significantly increases by 10% during the first half of the century, and 14% by the end of the century.1112Ysciescopu

Systematic review recommends the European Organization for Research and Treatment of Cancer colorectal cancer–specific module for measuring quality of life in colorectal cancer patients

Objectives: To critically appraise the measurement properties of standardized health-related quality of life (HRQOL) instruments for colorectal cancer (CRC) patients and to provide recommendations on the choice of HRQOL instruments. Study Design and Setting: Systematic review of English language literature published between January 1985 and May 2014 identified through a database search of PubMed, Web of Science, Embase, and Ovid MEDLINE. HRQOL instruments were rated on methodological quality and overall levels of evidence using a Consensus-based Standards for the selection of health Measurement Instrument checklist. Results: Internal consistency and hypothesis testing were evaluated most frequently in 63 studies identified. The Functional Assessment of Cancer Therapy-Colorectal (FACT-C) was the most extensively evaluated. The highest number of positive ratings in the overall level of evidence was found in the CRC-specific quality of life questionnaire module (QLQ-CR38) in European Organization for Research and Treatment of Cancer (EORTC) module, followed by the Memorial Sloan Kettering Cancer Center Bowel instrument, FACT-C, and Quick-FLIC. The EORTC QLQ-CR38 had the most positive ratings on measurement property and was recommended. Conclusion: The EORTC QLQ-CR38 was recommended to assess HRQOL in patients with CRC, regardless of disease stage and primary tumor site.postprin