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Three dimensional rotation represented by quaternion has two advantages over that by matrix: first, the geometric meaning is definitude; second, computation is easy.

用四元数表达三维的旋转与使用矩阵相比具有两个优点：第一，几何意义明确；第二，计算简单。

Conformal Geometric Algebra is a new tool for geometric representation and computation.

共形几何代数是一个新的几何表示和计算工具。

The representation, estimation and computation of pointwise geometric constant are quantitative of pointwise geometric property and locally representation of geometric constant of space.

点态几何常数的表示、估计、计算是点态几何性质的量化，是空间几何常数的局部化。

conformal geometric algebra is a kind of new geometric representation and geometric computation tool, and it has properties of geometric intuitiveness, compactness, high efficiency, unification and elegance.

摘 要：共形几何代数是一种新的几何表示和几何计算工具，它具有直观、简洁、高效、统一、雅致等特性。

Comparing with general intersecting algorithm, the fuzzy judge tree for finding intersection is constructed in the algorithm based on computation error and representation error of geometric elements.

较之常用算法，本算法针对计算机的计算误差和几何元素在计算机内的表示误差，构造交点模糊判断树，使求两条直线段交点的正确性和可

Compared with traditional DEM or TIN based methods, this pure vector approach obtains not only the topological structure of drainage system in planar graph, but also the valley distribution polygon range. Depending on geometrical computation and judgment of vector line, polygon, the structured properties in drainage representation is enhanced, avoiding the case of noise disturbance in DEM based method. The core algorithm makes use of the ability of Delaunay triangulation in detecting hierarchical structure of each contour line.

中文摘要：基于Delaunay三角网模型在矢量等高线基础上通过弯曲特征分析，给出了一种地形结构特征提取及谷地树组织的方法，与传统的基于DEM或TIN数据结构提取地形特征的方法相比，该方法不仅得到了谷地系统在平面图上的拓扑结构，还获得了河谷在空间分布上的汇水范围，依托矢量线、多边形的几何关系判断，增强了谷地树组织中的结构化，避免了DEM方法中的噪音干扰，方法的核心是Delaunay三角网在单根等高线弯曲深度表达上的层次结构识别。

It uses the decomposition method of Gershwin [25] but has greatly reduced the computation complexity.

它利用了Gershwin[25]的方法但是降低了Gershwin算法的复杂性。

Measured tie a kind of lactone, take the propanol - four hydrogen fu nan - water (1:15:84) as the flowing, take the maidenhair tree lactone, gingko lactone A, gingko lactone B, gingko lactone C as the comparison, with evaporation light scattering detector examination computation.

测萜类内酯，以正丙醇-四氢呋喃-水（1：15：84）为流动相，以白果内酯、银杏内酯A、银杏内酯B、银杏内酯C为对照品，用蒸发光散射检测器检测计算。

To have a deeper understanding to this question, by University of California Shengtakelusi Branch school computation biologist David a Haussler leadership's research team, to 5 kind of vertebrate -- person, the mouse, the big mouse, the chicken and the globefish -- trash DNA sequence with 4 kind of insects, two kind of worms and 7 kind of yeast's trash DNA sequences has carried on the comparison.

为了对这一问题有更深的了解，由美国加利福尼亚大学圣塔克鲁斯分校的计算生物学家David Haussler领导的一个研究小组，对5种脊椎动物——人、小鼠、大鼠、鸡和河豚——的垃圾DNA序列与4种昆虫、两种蠕虫和7种酵母的垃圾DNA序列进行了比较。

The numerical results showed that this method exhibited smaller computation labor, high accuracy, and goad stability.

数值计算结果表明，此方法计算量较小，精度高，稳定性好。

A backer of an Afghan law that critics say legalizes marital rape has rejected the international outcry as foreign meddling.

饱受批评的一项法律的拥护者说合法化的婚内暴力不会受国际舆论的干涉。

Years ago, a ancient Egyptian fleet went to the Land of punt for seeking a kind of flavor named "myrrh", and aromatic plants which has dense exotic style for the queen Hatshepsut.

3500年前的一个古埃及的舰队到&彭特之地&寻找一种叫没药的香料。