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Inthe paper, we study the relation of pairs of lines and pairs of needles, and two results ofintegral formulas are gained. Thus, the geometric probability problem is solved. Also.we give a solution to the problem: pick two points randomly in a convex body K anddraw two lines passing through two points.

文章考虑了线偶与针偶的依附关系，得到了两个积分公式的结果，从而解决了这一问题，并得到了随机地在凸体K内任取两点，通过这两点任意投掷两直线，两直线的交点落入凸体K内的概率及其它的一些结果和推论。

This fact suggests the following stability problem: If for some convex body the given inequality is satisfied so that it is not very different from an equality what can be said about the deviation of the body from these objects?

如果某个凸体使得它所满足的不等式与等号成立相差很小时，这个凸体与使得等号成立的特殊的凸体有多大偏差？

So we mention another geometricprobability problem which is the geometric probability of the intersection of pairs ofintersecting lines belonzs to convex body K in R~2 by using the concept of doublechord-power integrals and a kinematic invariant density formula for pairs of lines.

利用R~2上双弦幂积分的概念和线偶的运动不变密度公式，提出了另一个几何概率问题：R~2上两根与凸体K相交的小针依附在两直线上，求两直线的交点落入凸体K内的几何概率。

Based the new definition of double chord-power intergral which the pair of lines intersect the convex body in integral geometry, this paper studies the relationship of double chord-power intergral and chord-power intergral.

本文给出了积分几何中的最新定义：随机直线偶与凸体相交的双弦幂积分概念，利用积分几何的分析方法，研究了双弦幂积分的对称性，次可加性等性质及双弦幂积分与弦幂积分的相互关系。

Andwe get two results that kinematic measure of the random pairs of needles intersect inconvex body K and the random pairs of needles intersect at a point in convex body Kby calculation. Thereby, the result of geometric probability problem and its inferencesare gained.

通过计算得出针偶与凸体K相交的运动测度和针偶与凸体K相交且针偶的交点属于凸体K的运动测度这两个结果，从而解决了这一几何概率问题，并得到了相关的一些推论。

Convex body; star body; cross i-section; Firey projection; Radon transform; Fourier transform of distribution; generalized intersection body; dual mixed volume; embedding in L_p

基础科学，数学，几何、拓扑凸体；星体； i-维中心截面； Radon变换；分布的Fourier变换；广义截面体；对偶混合体积；等距嵌入L_p

Through convex combination, these two factors are put in the weighting coefficient of a formula which is used to calculate combinatio...

给出了这种组合赋权法的具体步骤，并通过应用实例说明了该方法的合理性。

It is observed that DG has the properties of locality, convex combination, geometric continuity and interpolation.

作为补充，构造了一个具有典型意义的规则DG，并证明了DG的局部性、〓包性、光滑性和价值性质。

Based on LMI method and convex combination technique, the problem of robust stabilization for a class of uncertain switched systems with nonlinear disturbance is studied.

基于线性矩阵不等式方法和凸组合技术，研究一类带有非线性扰动的不确定切换系统的鲁棒镇定问题。

In chapter three, the problem of G〓 filling polygonal hole formed by series of parametric patches is completely solved with convex combination method.

同时在这里提供的矩阵方法，也是我们解决CAGD中多个曲面的几何连续拼接问题的有效的方法。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。