几何基础

Geometry optics,physical theory of diffraction and graphic hardware.

几何光学寻迹方法和物理绕射方法的基础上，结合图形硬件对估算进行了加速，实现了对于复杂目标模型的一次

This will automatically assign a planar map to the geometry based on its orientation.

这将自动分配一个平面地图上的定位为基础的几何形状。

On the basis of analysis of geometric feature of plane curve,an algorithm for matching contours is introduced in this paper.

在分析平面曲线的几何特性的基础上，提出了一种快速有效的轮廓曲线匹配算法。

Thirdly, according to the development of the frozen soil, the coupling model of single freezing pipe of axial symmetry of temperature field, stress field and moisture migration is put forward firstly. Then, by means of the progressing principle of potential field, the coupling model of temperature field, stress field and moisture migration which is under the condition of the multi-freezing pipes is extended. At last, the energy balance equation, stress balance equation, quality balance equation, geometric equation, physical equation, initial and boundary conditions etc are adopted to give the analytic solution to the problem of plane axial symmetry of single freezing pipe.

第三，在对室内试验和现场实测结果研究的基础上，分析了土体冻结过程中温度场、应力场、水分场耦合原理，并按照冻土体形成发展过程，首先建立了单一冷源冻结轴对称温度、应力、水分场耦合模型；接着利用势场的迭加原理，将单一冷源情况的三场耦合问题推广到多冷源情况的三场耦合；最后根据能量守恒平衡方程、应力平衡方程、质量守恒平衡方程、几何方程、物理方程、初始及边界条件，解出了单一冷源平面轴对称问题的解析解。

The definition of Halton points is introduced and the algorithm complexity is analyzed, then the sampling strategy of triangle plane is introduced, including geometry region partitioning, coordinate mapping between triangle plane and rectangle plane, and computing principle to the coordinates of sampling point. The experiment results compared with Jittered sampling and improved LHS sampling are given.

给出了Halton点的定义，分析了其算法复杂度，在此基础上给出了三角平面的采样策略，包括几何区域的划分、三角平面与矩形平面的坐标映射、采样点坐标计算原理；并将该方法与Jittered采样法、改进的LHS采样法进行了比较。

Six content areas are included in the Mathematics Test; pre-algebra, elementary algebra, intermediate algebra, coordinate geometry, plane geometry, and trigonometry.

数学测试包括6方面的内容：基础初等代数、初等代数、中级代数、几何坐标、平面几何和三角函数。

Polarimetry properties of electromagnetic waves are sensitive to the scatters permittivity, physical trait, size, orientation and so on. The polarimetric scattering matrix, which describes the backscattering properties of targets completely, can be measured by transmitting and receiving different polarized signals.

电磁波的极化对目标介电常数、物理特性、几何尺寸和取向等比较敏感，通过不同的收发天线组合测量可以得到反映目标散射特性的极化散射矩阵，这为图像理解和目标分析奠定了基础。

PID controllers based on the interval polynomial stabilization theorem;2. Not only the H ∞ norm calculating guestion of the robust stability of the mixed-type perturbation in the interval polynomial family is studied, but also the range which can be done is enlarged to that of the more general linearly dependent cofficients perturbation.

本文讨论了不确定性系统的鲁棒稳定性分析问题，不仅研究了区间多项式族混和摄动的鲁棒稳定性中H∞的计算问题，而且将研究的范围从区间多项式族扩展到更具一般性的线性相关系数摄动的系统，以值域断面的几何性特为基础，提出了一种形象直观，简便实用的混和型摄动系统鲁棒稳定性的分析方法。

Utilizing the information of product s assembly region and carrying out decomposition upon the product according to cut-set method of graph theory, this method establishes the constraint relation of geometrical preference,.

在分析总结以往学者对装配顺序规划研究的基础上，综合拆卸法和优先约束法的特点，探讨了一种新的装配顺序分析方法，该方法利用产品的装配域信息，根据图论的割集法对产品进行拆分，建立几何优先约束关系，然后通过人机交互的方式建立工艺优先约束关系，最终得到可行的产品装配顺序。

Assuming that the plastic deformation ofmaterial can be given by the internal states of material and theirevolution laws, a principal fibre bundle structure and the correspondentrelationships between the geometrical characterization and themechanical properties of the structure are obtained.

以连续介质力学内变量理论为基础，建立了一个以材料内部微结构变量为底流形，材料外部变形状态为对应纤维的材料状态纤维丛模型，使材料的力学特性与模型的几何性质自然对应起来。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。