Conditions for Generic Initial Ideals to be Almost Reverse Lexicographic

Let $I$ be a homogeneous Artinian ideal in a polynomial ring $R=k[x_1,...,x_n]$ over a field $k$ of characteristic 0. We study an equivalent condition for the generic initial ideal \gin(I) with respect to reverse lexicographic order to be almost reverse lexicographic. As a result, we show that Moreno-Socias conjecture implies Fr\"{o}berg conjecture. And for the case \Codim I \le 3, we show that $R/I$ has the strong Lefschetz property if and only if \gin(I) is almost reverse lexicographic. Finally for a monomial complete intersection Artinian ideal $I=(x_1^{d_1},...,x_n^{d_n})$, we prove that \gin(I) is almost reverse lexicographic if $d_i > \sum_{j=1}^{i-1} d_j - i + 1$ for each $i \ge 4$. Using this, we give a positive partial answer to Moreno-Socias conjecture, and to Fr\"{o}berg conjecture.Comment: 10 page

Block Design-Based Local Differential Privacy Mechanisms

In this paper, we propose a new class of local differential privacy (LDP) schemes based on combinatorial block designs for a discrete distribution estimation. This class not only recovers many known LDP schemes in a unified framework of combinatorial block design, but also suggests a novel way of finding new schemes achieving the optimal (or near-optimal) privacy-utility trade-off with lower communication costs. Indeed, we find many new LDP schemes that achieve both the optimal privacy-utility trade-off and the minimum communication cost among all the unbiased schemes for a certain set of input data size and LDP constraint. Furthermore, to partially solve the sparse existence issue of block design schemes, we consider a broader class of LDP schemes based on regular and pairwise-balanced designs, called RPBD schemes, which relax one of the symmetry requirements on block designs. By considering this broader class of RPBD schemes, we can find LDP schemes achieving near-optimal privacy-utility trade-off with reasonably low communication costs for a much larger set of input data size and LDP constraint.Comment: 18 pages, 3 figures, and 1 table. This manuscript was submitted to IEEE Transactions on Information Theory and a short version of this manuscript will be presented at 2023 IEEE International Symposium on Information Theor

Pain Management of Herpes Zoster

Herpes zoster (HZ) is a disease triggered by the reactivation of latent varicella zoster virus (VZV) in spinal or cranial sensory ganglia, and is characterized by a painful vesicular eruption in the affected dermatome. Postherpetic neuralgia (PHN) is a chronic, neuropathic pain that can persist long beyond resolution of visible cutaneous manifestations which is often resistant to current analgesic treatments. The lifetime prevalence of herpes zoster is approximately 20–30% and about 9–34% of these patients develop PHN depending on its definition. Clinical experience has shown that PHN often develops in cases of inadequate initial pain management resulting in increased pain intensity. This review provides an overview of the treatment options for HZ and PHN, focusing on the therapeutic modalities of pain management. The primary objectives of management of HZ are to inhibit viral replication, relieve pain, and prevent associated complications, such as PHN. General treatments for acute HZ are combination of antiviral therapy with a short course of corticosteroids at the onset of the disease in conjunction with an effective control of acute pain, including nonsteroidal anti-inflammatory drugs, acetaminophen, opioids, and anticonvulsants such as gabapentin or pregabalin. Treatment of PHN is often resistant to the current pharmacologic methods. Therefore, a multimodal analgesic treatment regimen including topical lidocaine and capsaicin, systemic therapies, and the interventional treatments is necessary to alleviate pain and its effect on quality of life. As the incidence of HZ increases with age, the number of patients with HZ and PHN may increase in the future considering the gradual aging of the general population. Appropriate management of HZ can reduce the duration and intensity of pain from HZ, and prevent the development of PHN. In addition, prophylactic zoster vaccination can prevent or reduce the incidence of HZ and PHN. Further efforts are needed to minimize pain of the patients suffering from HZ and PHN as it affects the quality of life in the aspect of both physical and psychological impairments

Nano-mechanical behavior of ultra-stable amorphous metallic thin films

Metallic glass has amorphous structure that behave mechanically like solids but show catastrophic failure due to shear band propagation induced by short range order structure, and they are generally produced by quenching. Recently, it is observed that the slower cooling rate provides the larger time available for atoms to rearrange structure before freezing in glassy state, leading to glass transition temperature and thermal stability. These glasses with enhanced thermal stability synthesized by controlled cooling rate make it useful in various field such as mechanical or oxidation protection material. However, mechanical behavior for metallic glass with extraordinary thermodynamic and kinetic stability has not been studied. In this research, we developed a ultrastable metallic glass thin film by physical vapor deposition process at ambient temperature. Thermal stability is investigated using acceleration testing. Mechanical properties are measured using in-situ tensile testing and discuss thermal stability and fracture behavior dependent on compositio

An Exploratory Study on the Association Between Social Capital and Self-Rated Health of South Korean Women with Disabilities

The purpose of this chapter was to explore the relationship between social capital and self-rated health status as assessed in the activities of the everyday life of South Korean women with disabilities. For this purpose, the authors analyzed the 8th data of the panel survey of employment for the disabled (PSED) that included a sample of 275 women with disabilities who are paid worker. The authors found that working environment, working hours, personal development possibilities, communication-and interpersonal-relationships, the fairness of performance assessment, welfare benefits, training opportunities, and job satisfaction differed significantly in relation to the self-rated health status of women with disabilities. The authors also found that for working hours, communication, and interpersonal relationships, significantly higher self-rated health status was found for satisfied compared to the satisfaction group. For personal development possibilities, welfare benefits, and training opportunities, self-rated health status was significantly higher for the satisfaction group than the dissatisfied group. For fairness of the performance assessment, self-rated health status of the satisfaction group was significantly higher than in the dissatisfied and the normal group. Therefore, in order to improve the self-rated health of South Korean women with disabilities, it is necessary to provide working environment considering their disability characteristics and various training opportunities in their workplace

Overwash induced by storm conditions

Erosion problems are not only in the Texas area, but exist also along the coastline all over the world. Even though many researchers have studied coastal processes related with beach erosion and deposition over the decades, these processes are too complex to understand completely and field measurements are difficult to obtain during landfall of storms which cause fatal damages. Overwash is strongly suspected to cause extreme erosion as seen from long-term field measurements in the upper Texas coast. Overwash and washover are the source of cross-shore erosion and deposition of beach material along the coast, respectively. Waves superimposed on increased storm surges overtop and generate serious erosion of the berm. However, the data for these processes do not completely describe the shoreline erosion problems. Providing better descriptions requires field measurements and laboratory experiments with careful calibration. This study was conducted in two major sections. First was a field measurement and second was a laboratory experiment. This study used the RTK-DGPS to measure the change in the beach profile over multi year period. The GPS system is one of the ways to have the best resolution. The laboratory experiment was done in a 2D wave tank on mid-scale based on similitude law at Texas A&M University. The experiment was necessary to obtain better empirical formulas. The erosion rate of the sand was measured at different wave conditions and slopes of the berm or upper beach face in regular and irregular waves respectively. The erosion rate is much bigger at higher wave height, longer wave period and steeper beach face. The erosion rate is increased proportional to speed of bore and it is decreased with time. The empirical formulas were the first approach to simulate the impact of overwash. The laboratory results represented good agreement with the field data and might be applicable to predict the shoreline recession by overwash induced by storms. Further improvements can be expected by adding these empirical formulas to a numerical model to predict sediment transport in the swash zone

The avian-specific small heat shock protein HSP25 is a constitutive protector against environmental stresses during blastoderm dormancy

ArticleScientific Reports. 6: 36704 (2016).journal articl