A Note on: `Algorithms for Connected Set Cover Problem and Fault-Tolerant Connected Set Cover Problem'

A flaw in the greedy approximation algorithm proposed by Zhang et al. for minimum connected set cover problem is corrected, and a stronger result on the approximation ratio of the modified greedy algorithm is established. The results are now consistent with the existing results on connected dominating set problem which is a special case of the minimum connected set cover problem.Comment: 6 pages, 1 figure, submitted to Theoretical Computer Scienc

Signatures of Extra Gauge Bosons in the Littlest Higgs Model with T-parity at Future Colliders

We study the collider signatures of a T-odd gauge boson $W_{H}$ pair production in the Littlest Higgs Model with T-parity (LHT) at Large Hadron Collider (LHC) and Linear Collider (LC). At the LHC, we search for the $W_{H}$ boson using its leptonic decay, i.e. $pp\to W_{H}^{+}W_{H}^{-}\to A_{H}A_{H}\ell^{+}\nu_{\ell}\ell^{\prime-}\bar{\nu}_{\ell^{\prime}}$, which gives rise to a collider signature of \ell^{+}\ell^{\prime-}+\met. We demonstrate that the LHC not only has a great potential of discovering the $W_{H}$ boson in this channel, but also can probe enormous parameter space of the LHT. Due to four missing particles in the final state, one cannot reconstruct the mass of $W_{H}$ at the LHC. But such a mass measurement can be easily achieved at the LC in the process of $e^{+}e^{-}\to W_{H}^{+}W_{H}^{-}\to A_{H}A_{H}W^{+}W^{-}\to A_{H}A_{H}jjjj$. We present an algorithm of measuring the mass and spin of the $W_{H}$ boson at the LC. Furthermore, we illustrate that the spin correlation between the $W$ boson and its mother particle ($W_{H}$) can be used to distinguish the LHT from other new physics models.Comment: version to appear in PRD (a few references added

Spin transverse force and intrinsic quantum transverse transport

The spin-orbit coupling may generate spin transverse force on moving electron spin, which gives a heuristic picture for the quantum transverse transport of electron. A relation between the spin and anomalous Hall conductance and spin force was established, and applied to several systems. It was predicted that the sign change of anomalous Hall conductance can occur in diluted magnetic semiconductors of narrow band and can be applied to identify intrinsic mechanism experimentally

On the Application of Code-switching Strategy in Business English Teaching Under the Construction of “New Liberal Arts”

In English teaching classrooms, code switching is becoming a common phenomenon and as a teaching strategy it has been widely used by teachers in China. Under the background of construction of “New Liberal Arts”, this paper sets out to investigate teachers’ code-switching strategy in ESP (English for Special Purposes) teaching, especially in business English teaching classrooms. It is found that conscious and necessary code-switching in ESP teaching classrooms can make teaching more efficient, and its functions and positive effects on bilingual teaching should not be underestimated. It is hoped that this study can provide some suggestion to ESP teaching and help enhance an effective teaching mode by using code-switching strategy and suggest that teachers should be aware of this teaching tactic and use it technically in their teaching process.

How to Learn Spanish

This thesis sums up the basic methods of foreign language learning and analyzes the relationship between English learning and Spanish learning. It expounded the difficulties and focal points of Spanish learning, in order to be helpful to the students who are learning a foreign language, especially Spanish. Key Words: Spanish, learning methods and strategies Résumé : L’article présent résume les méthodes fondamentales de l’apprentissage des langues étrangères et analyse le rapport entre l’apprentissage de l’anglais et celui de l’espagnol. L’auteur expose les difficultés et les points clés de celui-ci dans l’intention de servir les étudiants qui étudient une langue étrangère, surtout l’espagnol. Mots-clés : espagnol, méthodes d’apprentissage et stratégie

Applying Bayesian Belief Network To Understand Public Perception On Green Stormwater Infrastructures In Vermont

Decisions of adopting best management practices made on residential properties play an important role in reduction of nutrient loading from non-point sources into Lake Champlain and other waterbodies in Vermont. In this study, we use Bayesian belief network (BBN) to analyze a 2015 survey dataset about adoption of six types of green infrastructures (GSIs) in Vermont’s residential areas. Learning BBNs from physical probabilities of the variables provides a visually explicit approach to reveal the message delivered by the dataset. Using both unsupervised and supervised machine learning algorithms, we are able to generate networks that connect the variables of interest and conduct inference to look into the probabilistic associations between the variables. Unsupervised learning reveals the underlying structures of the dataset without presumptions. Supervised learning provides insights for how each factor (e.g. demographics, risk perception, and attribution of responsibilities) influence individuals’ pro-environmental behaviors. We also compare the effectiveness of BBN approach and logistic regression in predicting the pro-environmental behaviors (adoption of GSIs). The results show that influencing factors for current adoption vary by different types of GSI. Risk perception of stormwater issues are associated with adoption of GSIs. Runoff issues are more likely to be considered as the governments’ (town, state, and federal agencies) responsibility, whereas lawn erosion is more likely to be considered as the residents’ own responsibility. When using the same set of variables to predict pro-environmental behaviors (adoption of GSI), BBN approach produces more accurate prediction compared to logistic regression

Reading Pablo Neruda across the Sea

Pablo Neruda, (1904-1973) is the famous Chilean poet. He has experienced a lot of ups and downs in his life as well as in his poet career. This thesis intends to introduce him to the Chinese readers, recalls his spread in China and analyzes his special feelings in his poetry and the charming effect from it. Keywords: Pablo Neruda, Chilean poetry, analysis and appreciation Résumé Pablo Neruda (1904-1973) est un poète contemporain chilien de réputaiton. De même que sa vie monvementée, les recherches sur sa poésie a connu des péripéties. Cet article présente l’itinéraire de la création poétique de Neruda, évoque la diffusion et l’influence de sa poéie en Chine, interprète ses sentiment singulier et charme. Ainsi, cet essai revêt une certaine signification de référence pour aider les lecteurs chinois à comprendre ce poète lointain. Mots-clés: Pablo Neruda, poésie, Chili 摘 要 巴勃魯•聶魯達（ Pablo Neruda，1904-1973）是智利當代著名詩人，他的命運幾度沉浮，對他詩歌的 研究也幾經波折。本文介紹了聶魯達詩歌創作的歷程，追溯其詩作在中國的傳播及影響，闡釋其詩歌的獨特 情感與魅力。對於幫助中國讀者理解這位遠方的詩人，有一定的參考意義。 關鍵詞：巴勃魯•聶魯達；詩歌；智

Law of large numbers for branching symmetric Hunt processes with measure-valued branching rates

We establish weak and strong law of large numbers for a class of branching symmetric Hunt processes with the branching rate being a smooth measure with respect to the underlying Hunt process, and the branching mechanism being general and state-dependent. Our work is motivated by recent work on strong law of large numbers for branching symmetric Markov processes by Chen-Shiozawa [J. Funct. Anal., 250, 374--399, 2007] and for branching diffusions by Engl\"ander-Harris-Kyprianou [Ann. Inst. Henri Poincar\'e Probab. Stat., 46, 279--298, 2010]. Our results can be applied to some interesting examples that are covered by neither of these papers