Abstract:
Wide Sargasso Sea is the masterpiece of British woman writer Jean Rhys. This novel is regarded as prequel of Jane Eyre. Antoinette is the heroine of the novel, who has a tragic fate which arises great sympathy among readers. The aim of this paper is to explore the causes that lead to her death, through analyzing the social context of her life, her growing family environment as well as her personal life path.

Abstract:
There is a kind of Chinese VR (verb-resultative) constructions in which the meanings of verb and complement (stands as the “result”) are relatively independent and decomposable. We call it “phrasal VR construction”. Syntactic structures of this kind are various. The semantic orientations of complements are complicated. And there are some grammatical phenomena that have not been explained yet. After choosing four typical Chinese VR structures (“哭累” (cry-tired, being tired from crying), “哭湿” (cry-wet, being wet from crying), “洗累” (wash-tired, being tired from washing), and “推倒” (push over)), this article first described them in accordance with Levin & Rappaport’s event structure theory, and summarized the principles of the three participants’ prominence and recession. Then the article, by analyzing the projection process from the event structure to the syntactic structure, found the correspondence between the participants and the syntactic elements. Finally it gave interpretations to the unexplained grammatical phenomena.

Abstract:
This paper discusses a discrete periodic Volterra model with mutual interference and Holling II type functional response. Firstly, sufficient conditions are obtained for the permanence of the system. After that, we give an example to show the feasibility of our main results.

Abstract:
The aim of this paper is to investigate the geometric condition of singularity of . The algebraic of singularityof is obtained in (Luo and Chen, 2005). The result of this paper will be useful to further study the geometric condition of singularity of .

Abstract:
Similar to the definition of cross ratio in high geometry, we propose a new definition of characteristic ratio. This paper mainly discuss some properties of characteristic ratio. Moreover, we find this definition plays an important role in researching the intrinsic of algebraic curve in projective plane.

Abstract:
This paper is concerned with the periodic solutions for a class of Nicholson-type delay systems with nonlinear density-dependent mortality terms. By using coincidence degree theory, some criteria are obtained to guarantee the existence of positive periodic solutions of the model. Moreover, an example and a numerical simulation are given to illustrate our main results. 1. Introduction In the last twenty years, the delay differential equations have been widely studied both in a theoretical context and in that of related applications [1–4]. As a famous and common delay dynamic system, Nicholson’s blowflies model and its modifications have made remarkable progress that has been collected in [5] and the references cited there in. Recently, to describe the dynamics for the models of marine protected areas and B-cell chronic lymphocytic leukemia dynamics which belong to the Nicholson-type delay differential systems, Berezansky et al. [6], Wang et al. [7], and Liu [8] studied the problems on the permanence, stability, and periodic solution of the following Nicholson-type delay systems: where , and , . In [5], Berezansky et al. also pointed out that a new study indicates that a linear model of density-dependent mortality will be most accurate for populations at low densities and marine ecologists are currently in the process of constructing new fishery models with nonlinear density-dependent mortality rates. Consequently, Berezansky et al. [5] presented an open problem: to reveal the dynamics of the following Nicholson’s blowflies model with a nonlinear density-dependent mortality term: where is a positive constant and function might have one of the following forms: or with positive constants . Most recently, based upon the ideas in [5–8], Liu and Gong [9] established the results on the permanence for the Nicholson-type delay system with nonlinear density-dependent mortality terms. Consequently, the problem on periodic solutions of Nicholson-type system with has been studied extensively in [10–13]. However, to the best of our knowledge, there exist few results on the existence of the positive periodic solutions of Nicholson-type delay system with . Motivated by this, the main purpose of this paper is to give the conditions to guarantee the existence of positive periodic solutions of the following Nicholson-type delay system with nonlinear density-dependent mortality terms: under the admissible initial conditions where , and are all bounded continuous functions, and , , . For convenience, we introduce some notations. Throughout this paper, given a bounded

Abstract:
The authors study the existence and uniqueness of a set with -periodic solutions for a class of second-order differential equations by using Mawhin's continuation theorem and some analysis methods, and then a unique homoclinic orbit is obtained as a limit point of the above set of -periodic solutions. 1. Introduction In this paper, we study the existence and uniqueness of homoclinic solutions for the following nonlinear second-order differential equations: where ,？？ ,？？ and are all in . As usual we say that a nonzero solution of (1.1) is homoclinic (to 0) if and as . Equation (1.1) is important in the applied sciences such as nonlinear vibration of masses, see [1–3] and the references therein. But most of the authors in those papers are interested in the study of problems of periodic solutions. Recently, the existence of homoclinic solutions for some second-order ordinary differential equation (system) has been extensively studied by using critical point theory, see [4–13] and the references therein. For example, in [9], by using the Mountain Pass theorem, Lv et al. discussed the existence of homoclinic solutions for the following second-order Hamiltonian systems: and in [13], the authors by means of variational method studied the problem of homoclinic solutions for the forced pendulum equation without the first derivative term. But, as far as we know, there were few papers studying the existence of homoclinic solution for the equation such as (1.1). This is due to the fact that (1.1) contains the first derivative term . This implies that the differential equation is not the Euler Lagrange equation associated with some functional . So the method of critical point theory (or variational method) in [4–13] cannot be applied directly. Although paper [13] discussed the existence of homoclinic solutions for the following equation containing the first derivative term: the term containing the first derivative is only linear with respect to . In order to investigate the homoclinic solutions to (1.1), firstly, we study the existence of -periodic solutions to the following equation for each : where is a -periodic function such that is a given constant, and is a constant independent of . Then a homoclinic solution to (1.1) is obtained as a limit point of the set , where is an arbitrary -periodic solution to (1.4) for each . The significance of present paper is that we not only investigate the existence of homoclinic solution to (1.1), but also study the uniqueness of the homoclinic solution and, the existence of -periodic solutions to (1.4) is obtained by using

Abstract:
The syntactic priming is not only a very important repetitive priming phenomenon, it is also important for studying the syntactic representation and the speech production mechanism. Since the priming is related to the selecting process of the target sentences, it is of serious requirement for both the experimental materials and paradigms. The main questions studied in the syntactic priming correlates with the construction, the syntactic hierarchy and the representation of verbs, etc. Mastering the syntactic priming’s experimental paradigm and knowing the corresponding research questions would be of great significance to studying the syntactic representation and the syntactic teaching in the field of teaching Chinese as a second language.

Abstract:
A new set of sufficient conditions for the permanence of a discrete -species cooperation system with delays and feedback controls are obtained. Our result shows that feedback control variables have no influence on the persistent property of the discrete cooperative system, thus improves and supplements the main result of F. D. Chen (2007).