查询词典 measure theory

Furthermore, as its corollary, we still get several terse and pragmatic sufficiency conditions where the convergence in fuzzy measure implies the fuzzy mean convergence of fuzzy integrals.

作为这一结果的推论，还得到了依测度收敛蕴涵广义模糊积分平均收敛的几个简洁、实用的充分性条件。

First, we present various new convergence concepts for sequence of fuzzy random variables, including convergence sure, convergence almost sure, uniform convergence, uniform convergence almost sure, almost uniform convergence, convergence in chance measure, and their corresponding weak convergence. Second, the relations among some types of convergence are studied. Finally, we design some algorithms about fuzzy random simulations to compute the mean chance of fuzzy random event, find the optimistic value of a return function, and evaluate the expected value of a fuzzy random variable.

首先，提出了几类模糊随机变量序列的收敛性概念，包括：必然收敛、几乎必然收敛、一致收敛、几乎必然一致收敛、近一致收敛、依机会测度收敛以及与以上概念相对应的弱收敛；其次，讨论了收敛性之间的关系；最后我们设计了模糊随机模拟算法，用于计算模糊随机事件的平均机会，寻找收益函数的乐观值，以及估计模糊随机变量的期望值。

Properties of measurable functions; approximation by simple functions and by continuous functions; convergence in measure; Egoroff's theorem; Lusin's theorem; Jensen's inequality.

可测函数。可测函数的性质；简单和连续函数逼近；测度收敛；叶果洛夫定理；鲁津定理；詹森不等式

First, we present various new convergence concepts for sequence of fuzzy random variables, including convergence sure, convergence almost sure, uniform convergence, uniform convergence almost sure, almost uniform convergence, convergence in chance measure, and their corresponding weak convergence.

首先，提出了几类模糊随机变量序列的收敛性概念，包括：必然收敛、几乎必然收敛、一致收敛、几乎必然一致收敛、近一致收敛、依机会测度收敛以及与以上概念相对应的弱收敛；其次，讨论了收敛性之间的关系；最后我们设计了模糊随机模拟算法，用于计算模糊随机事件的平均机会，寻找收益函数的乐观值，以及估计模糊随机变量的期望值。

The convergence width and radius are used for evaluating the measure convergence.

对于收敛性能的评价，提出收敛宽度和收敛半径的概念。

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 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。

Through measuring curvature radius of the thin convex lens, we can measure refractive index of the liquid.

用液体和薄凸透镜可以组成液体透镜组，通过测量薄凸透镜的曲率半径，达到测定液体折射率的目的。

This paper proposed to use elliptical Gabor filter with least redundancy to convolute with palmprint,sub-bands with 4 scales and 6 directions are obtained,calculate the average and deviation of every sub-band,48D texture feature is extracted,and normalize the 48D feature in the whole database,finally use distance of absolute value to measure the difference between two feature vector.The result shows the arithmetic proposed by this paper has a little high retrieval accuracy.

本文采用最小冗余度的椭圆Gabor滤波器组对掌纹图像滤波，得到4个尺度6个方向的子带，计算每个子带的均值与方差，得到48维的纹理特征，在整个数据库中对48维特征进行归一化，最后采用绝对值距离衡量不同特征向量间的差异。

Based on the flaw of the probability reliability model in the case of small amount of information,non-probability and mixed probability/non-probability reliability models are presented. When the uncertainty of the basic random variable is described by convex, analytical and numerical methods are constructed to calculate the convex of response variable. The infinite norm index, which is the minimal infinite norm distance from original coordinate point to the surface of the limit state in the standard interval space, is presented to measure the safety of the structure.

针对概率可靠性模型在小子样信息下的缺陷，建立了非概率可靠性模型及概率—非概率混合可靠性模型；给出了用集合来描述变量不确定性时，极限状态变量变化集合的解析解和数值迭代解法；提出了物理概念明确且十分易于工程应用的度量结构、机构安全程度的无穷范数指标，它是标准区间空间中坐标原点到极限状态表面的最小无穷范数距离。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。