Abstract:
In this paper, a coordinate transformation method (CTM) is employed to numerically solve the Poisson–Nernst–Planck (PNP) equation and Navier–Stokes (NS) equations for studying the traveling-wave electroosmotic flow (TWEF) in a two-dimensional microchannel. Numerical solutions indicate that the numerical solutions of TWEF with and without the coordinate transformation are in good agreement, while CTM effectively improves stability and convergence rate of the numerical solution, and saves computational cost. It is found that the averaged flow velocity of TWEF in a micro-channel strongly depends on frequency of the electric field. Flow rate achieves a maximum around the charge frequency of the electric double layer. The approximate solutions of TWEF with slip boundary conditions are also presented for comparison. It is shown that the NS solution with slip boundary conditions agree well with those of complete PNP-NS equations in the cases of small ratios of Electric double layer(EDL) thickness to channel depth(λD/H). The NS solution with slip boundary conditions over-estimates the electroosmotic flow velocity as this ratio(λD/H) is large.

Abstract:
The structure and operational principle on a new type reversing valve of hydraulic breaker are introduced. The nonlinear mathematic model and simulation model of the new type reversing valve are built. The dynamic simulation research of the new type reversing valve is conducted. The effects of the system parameters on the working performance are researched systematically and deeply. The regular understanding on the motion of the reversing valve is obtained, which provides theoretical basis for the innovation and manufacturing of a new generation of hydraulic breaker reversing valve.

Abstract:
in this paper, a new notion of s* closedness in l-topological spaces is introduced by means of semi-open l-"sets and their inequality where l is a complete demorgan algebra.this new definition doesn′ t rely on the structure of basic lattice l. it can be characterized by means of semi-open l-"sets and their inequality . when l is completely distributive demorgan algebra, its many characterizations are presented.

Abstract:
In this paper, a new kind of connectivity called $eta-$connectedness in $L-$topological spaces is introduced by means of $eta-$closed $L-$sets. Some fundamental properties of $eta-$connectedness are obtained. Especially, the famous K.Fan's Theorem can be extended to $L-$topological spaces for $eta-$connectedness.

Abstract:
In this paper, a new notion of S* closedness in L-topological Spaces is introduced by means of semi-open L-"sets and their inequality where L is a complete DeMorgan algebra.This new definition doesn′ t rely on the structure of basic lattice L. It can be characterized by means of semi-open L-"sets and their inequality . When L is completely distributive DeMorgan algebra, its many characterizations are presented.

Abstract:
Modern western music has strong individual characteristics. Therefore it also becomes the music of very few people. Music composer Jin Xiang onces said, modern western music was a "devil" in the bottle, let out by the fisherman. So, how does the “devil” survive and develop in modern time? What is the value of its existence? And where is it heading? This thesis is trying to answer these questions. Key words: modern music of Western,creation and development,existence value,development trend Résumé La musique moderne occidentale a de fortes caractéristiques individuelles. Cependant, elle devient aussi la musique de peu nombreux de population. JIN Xiang, le compositeur a dit une fois : la musique moderne occidentale était un monstre qui s’enfuit de la bouteille par le pêcheur. Donc, comment le monstre survit et se développe à l’époque moderne ? Quelle est la valeur de son existence ? Et où se trouve sa destination ? Cette thèse essaie de répondre à ces questions. Mots-clés : la musique moderne occidentale, création et développement, valeur d’existence, tendance de développement 摘 要 西方現代音樂是極具個性化的音樂，與此同時它也就成為了少數人的音樂。作曲家金湘曾說，西方現代音樂是漁夫從瓶中放出的“魔鬼”。那麼，這個僅得到少數人支持而一直存活到今天的“魔鬼”，它是怎樣產生和發展起來的 它又有著怎樣的存在價值 最終，它會去向何方 等問題是本文試圖探討的重點。 關鍵詞： 西方現代音樂；產生與發展；存在價值；發展趨勢

Abstract:
In the previous years, China has been trying to adopt the value of human rights in its legislation, justice and administration. However, China’s efforts were not acknowledged by the foreign countries and non-governmental organizations for the exposed severe human rights situation. The events in China always draw the eyes of other countries and the critiques and pressure from western world make China respond and transform itself. The critiques are mainly on the one-child policy, Tibetan problem and the rule of law in China. To different problems, China also responds in different ways.

Abstract:
Let $Q$ be the 3-Kronecker quiver, i.e., $Q$ has two vertices, labeled by 1 and 2, and three arrows from 2 to 1. Fix an algebraically closed field $k$. Let $\mathcal{C}$ be a regular component of the Auslander-Reiten quiver containing an indecomposable module $X$ with dimension $(1,1)$ or $(2,1)$. Using the properties of the Fibonacci numbers, we show that the Gabriel-Roiter measures of the indecomposable modules in $\mathcal{C}$ are uniquely determined by the dimension vectors. In other words, two indecomposable modules in $\mathcal{C}$ are not isomorphic if and only if their Gabriel-Roiter measures are different.

Abstract:
Let $Q$ be an $n$-Kronecker quiver, i.e., a quiver with two vertices, labeled by 1 and 2, and $n$ arrows from 2 to 1. We show that there are infinitely many Gabriel-Roiter measures admitting no direct predecessors.

Abstract:
A GR-segment for an artin algebra is a sequence of Gabriel-Roiter measures, which is closed under direct predecessors and successors. The number of the GR-segments indexed by natural numbers $\mathbb{N}$ and integers $\mathbb{Z}$ probably relates to the representation types of artin algebras. Let $k$ be an algebraically closed field and $Q$ be a tame quiver (of type $\widetilde{\mathbb{A}}_n$, $\widetilde{\mathbb{D}}_n$, $\widetilde{\mathbb{E}}_6$, $\widetilde{\mathbb{E}}_7$, or $\widetilde{\mathbb{E}}_8$). Let $b$ be the number of the isomorphism classes of the exceptional quasi-simple modules over the path algebra $\Lambda=kQ$. We show that the number of the $\mathbb{N}$- and $\mathbb{Z}$-indexed GR-segments in the central part for $Q$ is bounded by $b+1$. Therefore, there are at most $b+3$ GR segments.