Some Inequalities Involving Means and Their Converses

AbstractUsing an idea of J. Sàndor and V. E. S. Szabó, an inequality of Ky Fan and its generalizations are proved. We also establish some converses of these inequalities. As consequences some well-known inequalities are obtained

Generalized quantization condition in topological insulator

The topological magnetoelectric effect (TME) is the fundamental quantization effect for topological insulators in units of the fine structure constant $\alpha$. In [Phys. Rev. Lett. 105, 166803(2010)], a topological quantization condition of the TME is given under orthogonal incidence of the optical beam, in which the wave length of the light or the thickness of the TI film must be tuned to some commensurate values. This fine tuning is difficult to realize experimentally. In this article, we give manifestly $SL(2,\mathbb{Z})$ covariant expressions for Kerr and Faraday angles at oblique incidence at a topological insulator thick film. We obtain a generalized quantization condition independent of material details, and propose a more easily realizable optical experiment, in which only the incidence angle is tuned, to directly measure the topological quantization associated with the TME.Comment: 3 figure

The Research of Users’ Continuance Intention in Relationship-Based Virtual Communities from the Perspective of Quality

With the increasing number of virtual communities, it was challenging to retain existing users and encourage their continued participation in recent years. A research framework to investigate virtual community users\u27 continuance intention was proposed from the perspective of quality. Based on the empirical study, it was found that information and system quality directly affected functional benefits and social benefits, which ultimately determined users’ continuance intention to get and to provide information. Furthermore, by modeling information quality and system quality as multifaceted constructs, the results revealed key quality concerns in relationship-based virtual communities. The conclusions had a certain significance on theoretical research and management practice

Observation on the effect of 200mL/L alcohol pretreatment on the pterygium operation

AIM: To observe the effect and clinical significance of alcohol pretreatment during the pterygium surgery.<p>METHODS: Totally 300 eyes with pterygium were randomly divided into two groups. Control group: 142 eyes with pterygium were peeled under local anethesia and their degenerative organization of pterygium was cleaned up followed by a transplantation of corneal limbus with an autologous conjunctival flap. Experimental group: 158 eyes with pterygium were placed with a special metal ring used in LASEK on the head of pterygium to isolate the treatment area under local anesthesis, then, the treatment area within the ring was filled with the alcohol with a concentration of 200mL/L for 40-60s, followed by an adequate flushing with saline. Subsequent surgical procedure was the same as control group. <p>RESULTS: Follow-up for all patients ranged from 1 month to 3 years. Postoperatively, 158 eyes of experimental group had better operative effect than control group. Experimental group had better would healing, complete tissue construction, and improved visual quality. The break-up time of tear film for experimental group was significantly prolonged than that for control group. The average corneal astigmatism and total higher-order aberrations of experimental group were significantly lower than that of control group. The recurrence rate of experimental group was also significantly lower than control group. There's no significant difference in the incidence of complications.<p>CONCLUSION: Alcohol pretreatment during the pterygium surgery is a safe and effective method

A Deep Architecture for Semantic Matching with Multiple Positional Sentence Representations

Matching natural language sentences is central for many applications such as information retrieval and question answering. Existing deep models rely on a single sentence representation or multiple granularity representations for matching. However, such methods cannot well capture the contextualized local information in the matching process. To tackle this problem, we present a new deep architecture to match two sentences with multiple positional sentence representations. Specifically, each positional sentence representation is a sentence representation at this position, generated by a bidirectional long short term memory (Bi-LSTM). The matching score is finally produced by aggregating interactions between these different positional sentence representations, through $k$-Max pooling and a multi-layer perceptron. Our model has several advantages: (1) By using Bi-LSTM, rich context of the whole sentence is leveraged to capture the contextualized local information in each positional sentence representation; (2) By matching with multiple positional sentence representations, it is flexible to aggregate different important contextualized local information in a sentence to support the matching; (3) Experiments on different tasks such as question answering and sentence completion demonstrate the superiority of our model.Comment: Accepted by AAAI-201