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Crack growth direction of V-notch column sample under tensile-pressural loading was found by means of simulating the crack growth path side by side analyzing the distribution of Von Minses equivalent stress of the V-notch sample, the result shows crack growth direction of the sample under tensile-pressural loading is diametral direction of circle where the V-notch lies.

通过边分析试样的Von Minses等效应力分布，边模拟裂纹扩展方向的方法对拉压载荷下V型切口试样的裂纹扩展方向进行了模拟，结果显示V型切口试样在拉压状态下的裂纹扩展方向为棒料V型切口处圆周的直径方向。

Based on a kind of orthogonal complete functions in L2[0,1], another one (called V-system) which has equivalence relation with U-system is created. It is a kind of new and effective mathematical tool on signal multi-resolution analysis. Besides that V-system keeps the favorable properties of U-system and can accurately reconstruct geometry information which expressed in piecewise polynomials by finite sum of functions in V-system, it has more special properties, such as simple construction, abundant levels, convenience of application, quick calculation, local support, and so on. V-system is the generalization of Haar orthogonal functions, and to be a class of wavelet base. It has a good future for some applications in the fields of wavelet analysis and signal processing.

从L2[0，1]空间的一类正交完备函数系U系统出发，构造了另一类与之等价的正交完备函数系，称之为V系统，它是信号多分辨分析方面的一种新型的、有效的数学工具。V系统不仅保持了U系统的优良特性，对多项式表达的几何信息能够做到有限项精确重构，并且较之U系统，它更有结构简单、层次分明、计算快捷、局部支集等特点，应用起来将更加灵活方便。V系统可以看作是Haar函数系的推广，是一类小波基，在某些数字信号处理及小波分析问题中有良好的应用前景。

The M- radical of V is determined and a criterion for irreducibility of an admissble module for an arbitrary vertex operator superalgebra V is given.

设V是一个顶点算子超代数，M是一个可容许的V-模。刻划了V的M-根，并给出了一个可容许V-模不可约性的差别准则

In order to research dielectric barrier discharge characteristics at characteristics at various exciting voltage peak V(subscript P-P and dielectric thickness l(subscript d, a DBD experiment system was established. Using Q-V Lissajous figure method, the effect of exciting voltage peak V(subscript P-P and dielectric thickness l(subscript d on the main discharge parameters were studied.

为了解介质阻挡放电在不同激励电压峰值V和介质厚度l下的放电特性，通过建立介质阻挡放电试验系统，采用Q-V Lissajous图形法研究了激励电压峰值V、介质厚度l对DBD主要放电参量的影响。

Firstly, full factorial experiment method is implemented to achieve an optimization of longitudinal microstructure design in the incidence plane of a LGP for LED BLUs. There are three control factors involving in the optimization process: the pitch and depth of both V-cut and U-cut, and angle and radius for V-cut and U-cut, respectively. Each individual control factor has three levels. It leads to a total of 27 sets of experiments.

本实验先行讨论全因子实验求取发光二极体背光模组之导光板入光侧纵沟微结构最佳化设计，选定入光侧V-cut纵沟微结构控制因子：V-cut角、V-cut间距、V-cut深及入光侧U-cut纵沟微结构控制因子：U-cut半径、U-cut间距、U-cut深等项目，其中各一因子分别有三个水准变化，依控制因子及其水准的目各进行27组实验。

Several of them lie near the Sun and include Pollux (m v =+1.14), Castor (m v =+1.94), and Procyon (m v =+0.38), located 9° north, 13° north, and 16° south of the Sun, respectively.

其中的几个离太阳很近，包括北河三（m v =+1.14），北河二（m v =+1.94），南河三（m v =+0.38），分别在太阳以北9°，以北13°，以南16°。

Estimated V〓、V〓 data from Kuandian xenoliths, combining with the observed V〓、V〓 data, imply that the composition of the uppermost mantle lithosphere within 40-50km beneath Kuandian may be composed of 50％ spinel peridotite and 50% garnet pyroxenite.

计算了不同产地深源包体的弹性波速V〓、V〓值，将宽甸地区包体波速计算值与实测地震波速资料进行对比，确定了宽甸地区上地幔岩石圈顶部的物质组成大致为50％的尖晶石橄榄岩+50％的石榴石辉石岩。

In 2004 Zhang Zhongfu presented the concept ofadjacent vertex distinguishing total coloring whose content is: Let G be a connectedsimple graph with order at least 2, k be a positive integer and f be a mappling fromV∪E to {1,2,...,k}. Let C={f}∪{f|uv∈E,v∈V}for all u∈V. If (1) for any uv, vw∈E,u≠w, we have f≠f;(2) for any uv∈E, we have f≠f, f≠f, f≠f,then f is called a k-proper total coloring of graph G.

第三章和第四章主要研究了两种联图的邻点可区别全染色，邻点可区别全染色的定义是张忠辅在2004年提出来的，其内容为：设G是阶至少为2的简单连通图，k是正整数，f是V∪E到{1，2，…，k}的映射，对任意u∈V，记C={f}∪{f|uv∈E，v∈V}。

It also showed that the main influencing parameters of the uniformity of LGP front, middle and rear regions are the angle and interspacing of incidence side V-Cut.

导光板均齐度最主要影响参数前区域为底部V-Cut角度、其次为底部V-Cut间隔；中区域为底部V-Cut间隔、其次为入光侧V-Cut角度；后区域为入光侧V-Cut间隔、其次为底部V-Cut间隔。

Based on the volume relationship of aggregate, asphalt, air voids V(subscript a and voids in mineral aggregate V(subscript MA in stone mastic asphalt, the relationship between V and asphalt content is discussed and an optimum asphalt content O(subscript AC equation is deduced.

根据沥青马蹄脂碎石混合料中集料、沥青、空隙率与矿料间隙率V(下标 MA之间的体积关系，推导了V与沥青用量之间的关系；论证了V对SMA混合料级配的影响；讨论了V与级配之间的关系。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。