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Solid visualization is a key issue for conceptual product design. we present a new "recursive" algorithm for triangulating the data points scattered in 3D planar region with arbitrary polygonal boundary and arbitrary number and shape of inner features, which is fit for the displaying of the conceptual solid.

提出一种针对任意多边形边界内嵌任意形状、任意多个内特征的"递归式"三维平面三角划分方法，该算法主要应用于产品概念设计中零件的可视化处理。

The free volume cell theory was applied to derivative the formula of activity coefficients of liquid binary solution at arbitrary temperature. The Monte Carlo algorithm was employed to calculate the non-liner equations, then the free volume parameters were directly correlated to the activity coefficients of liquid binary, ternary, quaternary and quinary solutions at arbitrary temperature. The three dimensional diagrams of a-x-T diagrams representing the changes of activity with those of temperature and concentration were plotted.

由自由体积胞腔理论推证了某温度下两组分的活度系数关联式；引入MonteCarlo非线性方程解法，通过无限稀释溶液的实验活度系数数据直接得到自由体积参数和二元系及多元系液态金属溶液在任意温度下全浓度范围内的活度数据，构筑了直观反映活度随温度和浓度变化的a-x-T三维图形。

In this paper, a model forwheel/rail with arbitrary profiles contacting in an arbitrary point is built to calculate contact area and contact surface stresses. Then bytakingthe calculated surface stresses as applied load, the stresses inside the railhead are calculated through the three dimensional elastic-plastic finite element method.

建立了一个任意形状钢轨和车轮在任意点接触时，接触面形状和接触面力的计算模型，然后把计算出的接触面力作为外载施加到三维弹塑性有限元模型中，进行轨头内部应力的计算，从而构成一个完整的计算方法。

The real borehole axis is not an ideal straight line, but a helical line with arbitrary curvature, so the contact problem between the down-hole string and the borehole face is a kind of arbitrary contact nonlinear mechanics problem, which can not be solved by the common methods from material mechanics and structural mechanics.

实际的井眼轴线不是理想的直线，而是一条任意曲率的空间螺旋线，因此井下管柱和井壁的接触问题是一种随机接触的非线性力学问题，用一般的材料力学和结构力学方法是不能解决这类问题的。

The strong law of large numbers for the state frequency and the strong limit theorem of arbitrary function for the Markov chain field on the arbitrary Cayley tree are investigated.

主要研究任意Cayley树上马尔可夫链场的状态出现频率的强大数定律以及Cayley树上任意函数的一类强大数定律。

Since an arbitrary n variable fundamental symmetric function can be realized in terms of a tree construction expansion of the above generators,an arbitrary n ...

文中分别就变量数为奇数和偶数的情况进行了讨论。本文提出的对称函数综合方法在实现多输出对称函数时可获得较简单的电路结构

On the basis of Prof. S. Knothe's expression for arbitrary point in subsidence trough, the equations are derived with probabilistic integration for calculation of slope, curvature, horizontal movement, horizontal deformation, torsion and form deformation at arbitrary direction and point in subsidence trough.

本文在克诺特建立的地表下沉盆地任意点表达式的基础上，导出用概率积分法计算下沉盆地任意点任意方向的倾斜、曲率、水平移动、水平变形、扭曲和形变公式，并得出主剖面计算公式是任意点任意方向移动与变形计算公式的特例。

In this paper, we study the characteristic of body_wave velocity with incident angle and azimuth variation by using the method of coordinates transformation for TI medium with arbitrary strength of anisotropy and arbitrary spatial orientation.

本文基于坐标变换的方法，研究任意强弱ATI介质中体波速度的角散和方位变化特征。

The software exploitation of VXI arbitrary waveform generator is the main aim of this task. It includes Soft Panel and Arbitrary Waveform Editor.

本课题的主要任务是VXI任意波形发生器应用软件的开发，包括软面板和波形编辑器。

Based on direct digital synthesizer technology and digital orthogonal upconverter AD9857,an arbitrary waveform synthesizer is realized,which can generate arbitrary waveform in the frequency domain of 6~60MHz.

介绍了一种基于直接数字频率合成技术、采用数字正交上变频器AD9857实现的任意波形合成器，该波形合成器可以在6~60 MHz范围内合成任意波形。

If I didn't care what anyone thought, I would.....

如果我不介意别人怎么看，我会。。。。

In recent decades, Chile has mandated earthquake-proofing for new structures, requiring that materials like rubber and features like counterweights be built into the architectural designs to allow buildings to bend and sway during temblors rather than break.

在最近数十年里，智利已经为兴建防震的新土建结构而对建筑材料提出要求，需要的材料类似于橡胶，而特性就象运用在建筑设计中的平衡物体，一旦应用以后，当地震发生时建筑就能弯曲摇摆。