S1S^1-equivariant Index theorems and Morse inequalities on complex manifolds with boundary

Let $M$ be a complex manifold of dimension $n$ with smooth connected boundary $X$. Assume that $\overline M$ admits a holomorphic $S^1$-action preserving the boundary $X$ and the $S^1$-action is transversal on $X$. We show that the $\overline\partial$-Neumann Laplacian on $M$ is transversally elliptic and as a consequence, the $m$-th Fourier component of the $q$-th Dolbeault cohomology group $H^q_m(\overline M)$ is finite dimensional, for every $m\in\mathbb Z$ and every $q=0,1,\ldots,n$. This enables us to define $\sum^{n}_{j=0}(-1)^j{\rm dim\,}H^q_m(\overline M)$ the $m$-th Fourier component of the Euler characteristic on $M$ and to study large $m$-behavior of $H^q_m(\overline M)$. In this paper, we establish an index formula for $\sum^{n}_{j=0}(-1)^j{\rm dim\,}H^q_m(\overline M)$ and Morse inequalities for $H^q_m(\overline M)$.Comment: 39 page

Internationalization in Higher Education – International Student’s Chinese Learning as Serious Leisure in Taiwan

Due to the economic and commercial rise of China, the economic value, political value, and instrumental advantages produced by Chinese have become more significant. The fever for learning Chinese continues to intensify all over the world, and Chinese instruction has become increasingly popular. Taiwan is a country with Chinese as its official language; and an important issue rose in international educational policy is how to attract international students to study Chinese in Taiwan. At the same time, Taiwan has promoted the internationalization of universities in the recent years; it hopes to elevate the visibility of its universities on the international stage, and intends to broaden diplomacy and promote economic development. This study found that international students who came to Taiwan to learn Chinese tended to be Asians. The different original residence locations of international students would significantly affect learning Chinese as serious leisure. International students who rented apartments with others off-campus or who chose home-stays had greater life planning, effort in Chinese learning, continuous benefits from Chinese learning, and a sense of community identification with their learning peers, as compared to international students who lived in school dormitories or lived alone off-campus. International students who had mor e disposable income each month were more likely to gain lasting benefits from Chinese learning and strong community identification with their learning peers. Key words: International education; International students; Chinese learning; Language learning as serious leisure Resumé: En raison de l'essor économique et commercial de la Chine, la valeur économique, la valeur politique et les avantages instrumentaux produits par les Chinois sont devenus plus importants. L'enthouiasme pour apprendre le chinois continue de s'intensifier dans le monde entier, et l'enseignement du chinois est devenu de plus en plus populaire. La langue officielle de Taiwan est le chinois, et l'une des questions importantes dans la politique éducative internationale est de savoir comment attirer des étudiants étrangers à étudier le chinois à Taiwan. En même temps, Taiwan a favorisé l'internationalisation des universités dans les années récentes. Il espère rehausser la visibilité de ses universités sur la scène internationale et il a l'intention d'élargir la diplomatie et promouvoir le développement économique. Cette étude a révélé que les étudiants étrangers qui sont venus à Taiwan pour apprendre le chinois sont plutôt des Asiatiques. Les localisations différentes de résidence originale des étudiants étrangers auraient une influence significative sur leur apprentissage du chinois en tant que loisir sérieux. Les étudiants étrangers qui ont loué des appartements avec d'autres étudiants en dehors du campus ou ceux qui ont choisi une famille d'acceuil avaient une planification de vie plus longue et un effort d'apprendre le Chinois plus grand. Ils bénéficiaient des avantages continus de l'apprentissage du chinois et avaient un sentiment d'identification de communauté avec leurs partenaires de l'apprentissage, par rapport aux étudiants étrangers qui vivaient dans les dortoirs scolaires ou vivaient seuls en dehors du campus. Les étudiants étrangers qui avaient un revenu disponible plus élevé chaque mois étaient plus susceptibles d'obtenir des avantages durables de l'apprentissage du chinois et avaient une identification forte de communauté avec leurs partenaire de l'apprentissage. Mots-clés: éducation internationale; étudiants internationaux; apprentissage du chinois; apprentissage de langue en tant que loisir sérieu

Explore the Functional Connectivity between Brain Regions during a Chemistry Working Memory Task.

Previous studies have rarely examined how temporal dynamic patterns, event-related coherence, and phase-locking are related to each other. This study assessed reaction-time-sorted spectral perturbation and event-related spectral perturbation in order to examine the temporal dynamic patterns in the frontal midline (F), central parietal (CP), and occipital (O) regions during a chemistry working memory task at theta, alpha, and beta frequencies. Furthermore, the functional connectivity between F-CP, CP-O, and F-O were assessed by component event-related coherence (ERCoh) and component phase-locking (PL) at different frequency bands. In addition, this study examined whether the temporal dynamic patterns are consistent with the functional connectivity patterns across different frequencies and time courses. Component ERCoh/PL measured the interactions between different independent components decomposed from the scalp EEG, mixtures of time courses of activities arising from different brain, and artifactual sources. The results indicate that the O and CP regions' temporal dynamic patterns are similar to each other. Furthermore, pronounced component ERCoh/PL patterns were found to exist between the O and CP regions across each stimulus and probe presentation, in both theta and alpha frequencies. The consistent theta component ERCoh/PL between the F and O regions was found at the first stimulus and after probe presentation. These findings demonstrate that temporal dynamic patterns at different regions are in accordance with the functional connectivity patterns. Such coordinated and robust EEG temporal dynamics and component ERCoh/PL patterns suggest that these brain regions' neurons work together both to induce similar event-related spectral perturbation and to synchronize or desynchronize simultaneously in order to swiftly accomplish a particular goal. The possible mechanisms for such distinct component phase-locking and coherence patterns were also further discussed

The Management of Debris Flow in Disaster Prevention using an Ontology-based Knowledge Management System

In recently years, the government, academia and business have applied different information technologies to disaster prevention and diverse web sites have been developed. Although these web sites provide a large number of data about disaster-prevention, they are knowledge poor in nature. Furthermore, disaster-prevention is a knowledge-intensive task and a potential knowledge management system can overcome the shortcoming of knowledge poor. On the other hand, ontology design plays the key role toward designing a successful knowledge management system. In this paper, we introduce a three-stage life cycle for ontology design for supporting the service of disaster prevention of debris flow and propose a framework of an ontology-based knowledge management system with the KAON API environment. In addition, by appealing to the technology of component reuse, the system is developed at lower cost thus knowledge workers can focus on the design of ontology and knowledge objects. The objectives of the proposed system is to facilitate knowledge accumulation, knowledge reuse and dissemination for the management of disaster prevention. This work is expected to enable the promotion of the traditional disaster management of debris flow towards the so-called knowledge-driven decision support services

Quantified movement test of core muscles for Athletes

The purpose of this study was to compare the different of the core muscles ability between normal subjects and athletes of an assessment consisted of seven movement tests. Nineteen participants were voluntarily recruited in this study and divided into normal subjects (N=9, age=20.2+-0.7 y/o, weight:63.7+-11.7 kg, height:170.9+-6.7 cm) and collegiate athletes (N=10, age=19.9+-1.0 y/o, weight; 72.4+-7.8 kg, height; 172.5+-4.5 cm). The result shows that the path length of plank, bird dog with right-hand raise, bird dog with left-hand raise, right side plank, right bridge, left bridge and area of right bridge, left bridge has significant differences between two groups (Table 1). Athletes exhibit shorter path length and smaller path area in all of these data

A Study on the Management Effectiveness and Problems of Tribal Colleges in Taiwan

The main purpose of this study is to analyze the development background and objectives of indigenous tribal colleges, and to understand the effectiveness and problems of its management in Taiwan. After SWOT analysis, the main findings are as follows: 1. Advantages: the unique culture of indigenous people is an opportunity for economic development. In addition, the protection of laws and regulations is the main advantage of tribal college. 2. Weakness: under the current economic system, the indigenous people are limited in land use, inconvenient transportation, inadequate agricultural technology, and unsmooth sales channels, which limit their economic development. 3. Threats: because the population flows to the city, the tribal people do not understand what kind of institution the tribal university is, and some of the funds have to be paid by the learners themselves, resulting in the low participation of the tribal people. Moreover, the units that handle tribal college are almost different every year, which affects the preservation of data. 4. Opportunities: the existence of tribal college also provides an opportunity for the inheritance and reconstruction of indigenous culture. Based on the above analysis, this study puts forward relevant suggestions for the management of tribal colleg