Two kinds of hook length formulas for complete mm-ary trees

In this paper, we define two kinds of hook length for internal vertices of complete $m$-ary trees, and deduce their corresponding hook length formulas, which generalize the main results obtained by Du and Liu.Comment: 6 pages, 1 figure. To appear in Discrete Mathematic

Attention-Based Capsule Networks with Dynamic Routing for Relation Extraction

A capsule is a group of neurons, whose activity vector represents the instantiation parameters of a specific type of entity. In this paper, we explore the capsule networks used for relation extraction in a multi-instance multi-label learning framework and propose a novel neural approach based on capsule networks with attention mechanisms. We evaluate our method with different benchmarks, and it is demonstrated that our method improves the precision of the predicted relations. Particularly, we show that capsule networks improve multiple entity pairs relation extraction.Comment: To be published in EMNLP 201

Sports and competition law in South Africa: the need to account for the uniqueness of sport when applying the competition Act 89 of 1998 to the sports industry

Regulation of sport as an economic activity has become increasingly prevalent in a number of foreign jurisdictions. This thesis considers the applicability of competition law to the sports industry from a South African perspective. Although the Competition Act 89 of 1998 is yet to be applied in the context of organisation of professional sport, the sector is not free from the scrutiny of competition law authorities. It is necessary to subject sports organisers and governing bodies to competition law in order to ensure that their administrative powers, which effectively place them in positions of market dominance, are not misused for their own commercial interests. On the other hand, the unique characteristics of sports should also be taken into account when applying competition law to the sector. In particular, it should be noted that sporting activities are not purely economic in nature, and that they are also conducted in order to achieve various social objectives. This thesis examines foreign jurisprudence that have dealt with the relevance of purely sporting justifications under competition law, and conclude that South Africa law should take into account the unique nature of sport when determining whether a conduct should be per se prohibited under the Competition Act, as well as when the rule-of-reason enquiry is conducted. This would require an amendment to the Act, a draft of which is proposed in this thesis. Finally, the proposed approach is applied in the context of the player transfer rules in football, in order to highlight problematic aspects of the transfer system even when considered in light of the unique nature of sports

Long-tail Relation Extraction via Knowledge Graph Embeddings and Graph Convolution Networks

We propose a distance supervised relation extraction approach for long-tailed, imbalanced data which is prevalent in real-world settings. Here, the challenge is to learn accurate "few-shot" models for classes existing at the tail of the class distribution, for which little data is available. Inspired by the rich semantic correlations between classes at the long tail and those at the head, we take advantage of the knowledge from data-rich classes at the head of the distribution to boost the performance of the data-poor classes at the tail. First, we propose to leverage implicit relational knowledge among class labels from knowledge graph embeddings and learn explicit relational knowledge using graph convolution networks. Second, we integrate that relational knowledge into relation extraction model by coarse-to-fine knowledge-aware attention mechanism. We demonstrate our results for a large-scale benchmark dataset which show that our approach significantly outperforms other baselines, especially for long-tail relations.Comment: To be published in NAACL 201

Overview of Key Technologies for Remote Wireless Operation Platform on Water Surface

The underwater environment is complicated and full of hazards, making it tough to complete with just one piece of underwater operation equipment. Building a high-speed, low-latency wireless connection between a remote wireless operation platform on water surface and other operation platforms in order to achieve long-distance transmission of high-definition image data and control commands, as well as collaborative operations among multiple platforms, has become a development trend and focus of exploring complex and dangerous waters. This paper summarizes and elaborates on underwater communication technology, long-distance data transmission technology, multi-submersible robot collaborative operation, and information interaction technology, as well as the development status of key technologies of remote wireless operation platform on water surface. And the research direction and focus of the remote wireless operation platform on water surface are prospected

Ca(Mg1/3Ta2/3)O3 dielectric thin films: preparation, structure, mechanical and dielectric properties

The effects of annealing temperature on the crystallinity, grain size and hence mechanical and dielectric properties of Ca(Mg1/3Ta2/3)O3 (CMT) dielectric films were systematically studied. The CMT thin films were fabricated by an aqueous solution-gel technology and exhibited uniform, smooth and dense morphologies. The optimum pyrolysis temperature and time was 550 °C and 330 s, respectively. All the CMT films annealed from 650 to 800 °C show a single perovskite phase and the crystallization increases with increasing the annealed temperature but a secondary phase is observed in the film annealed at 900 °C. The hardness and reduced modulus were effectively enhanced by increasing the annealing temperature, which can be correlated to the crystallinity and densification improvements. Higher elastic recovery was observed for CMT films annealed at higher temperatures indicating less difficult recoveries for those films. We also noticed that the dielectric constants were improved for the samples annealed at higher temperature, which may enable higher performances for future microwave communication electronics

Assessment and application of electromagnetic induction method to measure Arctic sea ice thickness

The electromagnetic induction method is widely used to measure sea ice thickness. Based on the electrical properties of sea ice and seawater, the method measures the apparent conductivity, which represents the conductivity of the half-space, and calculates the thickness of the sea ice. During the fourth Chinese National Arctic Research Expedition in summer 2010, an integrated electromagnetic induction system was set up on the icebreaker R/V XUE LONG to measure sea ice thickness along the ship’s tracks to the north of the Chukchi Sea. The conductivities of sea ice, seawater, and brine were measured and a simple forward model was used to explain the effect of changes in those conductivities on the apparent conductivity over a horizontal layered structure. The results of this analysis indicated that when using the electromagnetic induction method to measure sea ice thickness, the conductivity of sea ice could be neglected and the conductivity of seawater could be treated as a constant. The ice distribution results derived from the electromagnetic induction method showed that the typical sea ice thickness was 160 cm and 90 cm during the outbound and the return legs of the voyage, respectively