可分集

Image segmentation ; active contour model ; variational calculus ; level set methods ; additive operator splitting scheme

图像分割；活动轮廓模型；变分方法；水平集方法；可加算子分裂算法

The exact form of exterior boundary value problems for plane potential problem is established with variational principle.

使用变分法确立平面 Laplace外问题的确切形式；在此基础上，为了避免使用无限区域上的 Green公式，通过构造紧支集上的无穷可微函数，获得满足非齐次控制微分方程的特解的重要结果。

Finally, in Chapter 4, we generalize the kq representation to 2N dimension. Based on Blocking theorem, the complete set of projectors on noncommutative Orbifold T〓/G are given.

第四章，我们建立了2N维空间的kq表象，证明了分块定理并由此构造出非对易可积Orbifold T〓/G上的投影算子完备集。

Finally, in Chapter 4, we generalize the kq representation to 2N dimension. Based on Blocking theorem, the complete set of projectors on noncommutative Orb-ifold T2N/G are given.

第四章，我们建立了2N维空间的kq表象，证明了分块定理并由此构造出非对易可积Orbifold T~(2N)／G上的投影算子完备集。

Kept in accordance with the main livestock and poultry can be divided into:(1) pig farm equipment, mainly including the pigsty (sub isolated defecating type pigsty, ditches addition to manure type pigsty, some gap-type pigsty floors, full-seam floor and childbirth pigsty pigsty and other five), feeding equipment (with screw-type conveyor, reciprocating scraper type, scraper ring type, ring-chain plate and dilute feed, type and other types of pipeline transportation, as well as automatic feeding trough and a variety of feed trucks) and a drinking fountain ( There Duckbill type, cup type and nipple-type 3 type), in addition to fecal equipment with except feces forklifts, scraper-type reciprocating equipment, and water will, inter, inter dung manure equipment, etc.

按所饲养的主要畜禽可分为：（1）养猪场设备，主要包括猪栏（分隔离排粪式猪栏、明沟除粪式猪栏、部分缝隙地板式猪栏、全缝地板猪栏和分娩猪栏等五类）、喂饲设备（有螺旋输送式、往复刮板式、环形刮板式、环形链板式和稀饲料管道输送式等类型，还有自动饲槽和各种饲料车）、自动饮水器（有鸭嘴式、杯式和乳头式3个类型）、除粪设备（有除粪铲车、往复刮板式除粪设备和水冲除粪设备等）；（2）养牛场设备，主要有拴系、饲喂、饮水、除粪、挤奶、牛奶冷却、牛奶输送等设备；（3）养羊设备，主要是草场围栏、羊圈及剪毛机；（4）养鸡场设备，包括鸡笼、喂饲设备、饮水设备、除粪设备、孵化和育雏设备、集蛋装置和鸡粪热干燥设备等；（5）养鸭场设备，主要是自动填鸭器。

Complicated system ; fractal ; nonlinear dynamics ; Mandelbrot set ; Julia set ; extension factor ; ternary number ; period-checking algorithm ; volume rendering algorithm ; equivariant map ; chaotic dynamic system ; synthesis of mechanism

国家自然科学基金；国家重点基础研究发展计划(973计划)复杂系统；分形；非线性动力学；可视化； Mandelbrot集； Julia集；变形伸缩因子；三元数；周期检测法；体绘制算法；等变映射；混沌动力系统；机构综合

For further interpretation and determination of the cluster numbers of each UPGMA dendrograms, minimum distance statistics, was therefore applied. The results showed that the application of butachlor altered the composition of diazotrophic and eubacterial communities without recovery to the inceptive state after 100 days of rice cultivation.

为更进一步演绎集群分析结果，采用最小距离法（Minimum Distance，简称MD）决定UPGMA 图谱的分群数目，所得结果显示，丁基拉草的施用可影响游离固氮菌及真细菌菌族群之菌相组成，且经100天的水稻种植期后，未能恢复成原有的菌相状态。

Under the suitable hypotheses of compactness,convexity,and semicontinuity,an existence theorem of the weak efficient solution for the convex-like vector equilibrium problems is established.

向量变分不等式与向量均衡问题的重要课题之一是研究其解集的连通性，因为它保证了解可连续的移动。

The existence theorem of generalized weak efficient solutions with respect to variable, cone for a linear G〓teaux differentiable mapping is proved with set valued mapping fixed-point theorem and the relation between a vector optimization and a variational inequality problem. The existence of weak efficient solutions for multi-objective convex vector optimization is characterized.

建立映射在线性G〓teaux可微条件下关于可变锥的广义弱有效解的存在性及多目标凸向量优化问题在G〓teaux可微条件下弱有效解的特征，利用集值映射不动点定理及向量优化与变分不等式的关系证明线性G〓teaux可微锥凸映射关于可变锥的广义弱有效解的存在性定理。

Characteristics and principles of time clustering and frequency with a seismic sequence of more 380 years (1615 —1998) are performed using fractal theory and rescaling range analysis theory. It is concluded that the fiactal dimensions of seismic subset are similar to each other, the mean value is about 0.405, and interval of scale invariance can change 1-2 magnitude order. It is also found that the Hurst index ranges from 0.5412 to 0.5580. The results show that there is of statistical self-similar among different magnitude earthquakes in the area of bridge site.

应用分形理论和R/S分析原理，编写了程序，分析和研究了桥址区的380多年（1615～1998）地震序列的地震时间从集和地震频度特征及规律，得出桥址区不同震级范围的子集合具有近似相等的分维值，约为0.405，子集合无标度区可跨1～2数量级；不同震级层次的地震频度Hurst指数为0.5412～0.5580，都表明了桥址区不同震级层次的地震之间具有统计自相似性。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。