查询词典 probability

What is the probability that the intersectingof two lines belongs to K? Finally, in this paper, we introduce the concept of double chord-power integrals ofa convex body in R~3, and some properties of double chord-power integrals of a convex body in R~3 are got.

最后，本文通过弦幂积分的理论体系和已经得到的平面上双弦幂积分的概念和性质，把双弦幂积分的概念推广到R~3上，得到了R~3上双弦幂积分的一些性质和结论。

On this foundation, the followingfew problems are resolved. Firstly, we have a kinematic density formula for pairs of needles by using thekinematic density formula for pairs of oriented lines. The geometric probability thatthe random pairs of needles intersect at a point in convex body K is considered.

在此基础上，重点解决了以下几个问题：首先利用R~2上有向直线偶的运动不变密度公式，得到了针偶的运动不变密度公式，考虑了针偶与凸体K相交且针偶的交点属于K的这样一个几何概率问题。

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。

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。

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。

In addition,an upper bound of multivariate Gaussian probability for a general convex domain is given based on a geometric observation.

利用已得一维Mills率的估计验证了在部分参数区间上我们的上界估计要优于已有的估计。

In this paper, by using the kinematic measure for a segment of fixed length within a special convex domain, we obtain the Buffon probability formula of grid whose basic regional are two different convex domains, and its outreach to various convex domain cases.

本文通过利用凸域内定长线段的运动测度，给出了以两个不同凸域的并为基本区域的网格的Buffon概率公式，并将其推广到多个不同凸域的情形。

In the basis of Bayes principle, the linearized Zoeppritz equation and convolution model are applied to obtain the posterior probability density of the lithology model.

在贝叶斯原理的基础上，通过Zoeppritz方程简化公式及褶积模型建立反演参数的后验概率模型。

As the foundation of algebra, this course also offers indispensable preparation for subsequent core curriculum and sample curriculum such as differential equations, numerical calculation, functional analysis, probability theory and multivariate analysis, etc.

它不仅是代数学的基础，而且为微分方程，数值计算，泛函分析，概率论，多元分析等后继的基础课及选修课程提供了必要的

With the object correspondence, the occlusion problem can be solved easily and the 3-D probability distribution of moving objects can also be estimated more precisely. These advantages make the results of objects tracking and correspondence more robust and reliable.

有了物体的对应关系，就可以解决物体交错所造成的追踪错误，并且能够更加正确的估测三维物体的机率分布，使多物体的追踪和对应更加准确而可靠。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。