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We study the relationship of martingale and arbitrage in securities markets with transaction costs and solvency in this paper, and obtain some significative results.

对带有交易费用和偿付约束的金融市场套利与鞅的关系问题进行了研究，得到了一些有意义的结果。

Finally, we obtain the solutions of the 0-1 Integer Programming problem. The most merit of the model is its automatization characteristic, and the model fits to solve arbitrary 0-1 Integer Programming problem having arbitrary variable element.

该模型的最大优点在于具有自动化的特点；同时，从理论上来讲，该模型适合含有任意变量的任意0-1整数规划问题的求解。

We investigate the centralizer of an arbitrary element of a Lie algebra of type L and obtain a sufficient condition for a Lie algebra of type L being semisimple.

在李代数方面，我们研究了L-型李代数中任一元素的中心化子，给出了L-型代数为半单代数的充分条件。

According to the method, Laser and PSD devices are used to realize the displacement and angle measurement,and a series of measurement stations are set along an arc, so as to obtain the distortion information of each point.

该方法沿折线布置多个测点，采用激光与PSD传感技术，实现对线位移和角位移的测量，获得每个测点的多维变形数据。

The algorithm is implemented by Fourier transform to obtain the real part and imaginary part of voltage based on digital sampling; and by trigonometric function to gain the sine or cosine dynamically; and then by Taylor series binomial of arc sine function to acquire the actual angle.

通过对数字化采样进行傅立叶变换获得电压的实部和虚部，动态地求取相位角的正弦值或余弦值，然后采用其反函数的泰勒级数二项式得到相位角度。

The system gets two image of one object with two CCD, thus obtains depth from two CCD"s parallax. After investigating the operation spot and discussing with surgeons we use LED as markers, and get the marker"s 3-D position with a non-contact optics orientation method. After calibrating the CCD, processing the image, the system can figure out marker"s areal coordinates, get marker"s 3-D coordinate in dummy world coordinate system, thereby obtain instruments 3-D position and orientation. After the coordinate transformation and a series of orientation calculation, operation navigation comes true.

运用两个摄像机对同一目标从不同位置成像，进而从视差中恢复距离；通过对手术现场的仔细了解与手术医师的反复商榷，使用LED作为标志点，利用非接触式光学定位方法提取空间点位置信息：通过对摄像机的标定、图像处理及目标点重心的计算，求出空间点在虚拟世界坐标系下的三维坐标，从而确定了手术器械等的空间位姿，通过空间坐标转换及一系列定位计算，完成了手术导航实验系统。

So far, a lot of areca farmers do not know the quotations of the areca market, and they thus can not obtain due profits.

过去至现在仍有许多槟榔农不谙槟榔市场行情，在不知情的状况下却得不到应有利润。

The distribution of organic matter in sediments is heterogeneous. To study OM enrichment mechanism and interaction of organic matter with inorganic minerals in argillaceous sediments, we employed size grading, microscope, X-ray diffraction and gas chromatography to obtain information on OM and minerals.

在泥质沉积物颗粒分级的基础上，用显微镜检测、XRD和色谱分析等手段获取有机质和无机矿物的特征，探讨了二者间的相互关系以及有机质富集的差异性。

Both can unscramble why the goods and chattels must be delivered if somebody want to obtain the personal property in it.The duality frame of common will and special will can help us to understand what is Willenserklarung and realize the significance of the principle of division.Moreover,it supplies the premise reflection of the argument about the principle of division.

黑格尔共同意志与特殊意志相对实存的二元架构对于理解意思表示和确证交付作为处分行为的现实载体所具有的独立性具有重大现实指导意义，能够为有效读解关于物权契约的理论争议厘清认识前提。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐