在这种情况下，概率空间的概念必须扩展。
In this case, the concept of the probability space has to be extended.
本文首先在有限概率空间中，运用经典的最值定理得到了勒让得变换；
We first consider the classical case where the underlying probability space is finite.
利用模糊距离概念，将底事件结构重要度概念从概率空间推广到模糊集中，得到模糊距离重要度。
The importance of fuzzy distance can be obtained by extending the concept of structural importance of bottom event from probability space to fuzzy set, in the light of the concept of fuzzy distance.
针对粒度仪标定的准确度 ，在概率空间基础上 ，提出了尘埃粒子散射光信号幅度概率谱线和散射光信号幅度概率谱函数的概念 ，并对谱线在概率空间下的性质进行了研究。
The amplitude spectrum line and the amplitude spectrum function are proposed for the airborne particle scattering light signal, and their properties are studied in probability space.
实验结果表明，这种方法不仅可以估计出散射元的平均间距，而且还能估计出散射元的空间分布及概率分布。
The experimental results show that this new method can be used to estimations of spatial distribution and the probability distribution of scatterers .
本文在向量空间模型和概率推理网络的基础上提出了一个基于关键词与概念相结合的混合信息检索模型。
We bring forward a hybrid model that is based on a combination of keywords and concept. The hybrid model is built on vector space model and probabilistic reasoning network.
这个算法在空间多分辨率框架下应用概率数据互联算法，在粗分辨率上实现模糊目标跟踪。
The probabilistic data association algorithm is applied in the spatial domain multi resolution frame and target tracking is implemented at the coarse resolution level.
提出基于直方图尺度空间分析和概率迭代松弛的混合方法分割背景复杂的细胞图像。
A hybrid method was proposed for cell image segmentation based on histogram analysis using scale space approach and probability relaxation.
由于遗传算法是在解空间的多个区域内进行搜索，能以较大的概率跳出局部最优，因此可找到整体最优解。
As the genetic algorithms method can be used to search in various regions of a solution space, and to jump out of partial optimization by a greater probability to achieve an overall optimization.
本文的目的是在概率度量空间建立三个公共不动点定理。
The aim of the present paper is to establish three common fixed point theorems in probabilistic metric Spaces.
通过借助立方体空间预分发多项式，基于立方体的密钥预分发方案可同时具有较高的安全连通概率和安全阀值。
Using the cube space to pre-distribute polynomials, the cube-based scheme achieves high probability of security link and high security threshold as well.
本文提出了Z - M - PN空间的概念，在概率度量空间中我们得到了若干新的不动点定理。
In this paper, we introduce the concept of the Z-M-PN space, and obtain some new fixed point theorems in probabilistic metric Spaces.
本文主要研究概率度量空间中非线性算子的理论与应用。
In this thesis, some problems for nonlinear operators and their applications in probabilistic metric Spaces are studied.
实验结果表明：简单的SLM-CIR模型的性能要优于简单的向量空间模型和概率模型。
The experimental result shows that the performance of simple SLM-CIR model should be superior to simple vector space models and probability models.
结果表明，1）该含水层导水系数在空间上的变化服从正态概率分布；
The results shows that: 1, The spatial change of the transmissibility coefficient of aquifer complies with the normal probability distribution.
通过对OFDM的子信道比特分配空间进行分析，本文提出着眼于误比特概率梯度的动态lms算法和全局优化算法。
In this paper, dynamical LMS algorithm and global optimization algorithm, with a view to gradient of error probability, are proposed based on analysis of sub-carries allocation space for OFDM system.
根据工程地质勘察资料，统计分析了固结系数的空间概率特征。
The spatial probabilistic characteristics of the coefficients of consolidation were statistically analyzed according to the engineering geologic investigation data.
CDCPM用中心距离正态(CDN)分布描述模型特征空间，去掉了H MM的状态转移概率矩阵a，对HMM进行了简化和改进。
CDCPM describes the feature space of model by center distance normal distribution (CDN), and simplifies and improves the HMM efficiently by getting rid of the state transition probability matrix a.
在此基础上提出的裂纹扩展失效概率分析方法，能考虑夹杂空间位置随机性及扩展过程中的裂纹合并情况。
Based on the model, a failure probability analysis method of crack growth is presented which takes the randomness of inclusions' position into consideration.
该方法采用空间分割算法建立网格，以雷达检飞资料作为基础数据，用雷达方程推算各个网络中心的探测概率。
Based on the data of radar flight for test, the method applies radar equation to estimate the detection probability of gridding center.
分析了破片场空间分布规律，介绍了一种空爆型杀爆战斗部杀伤概率的工程计算方法。
The engineering calculation method for the lethal probability of the blast-fragmentation warhead exploding in the air was introduced.
在分子内某空间找到，一个电子的概率密度。
Probability density of finding an electron within that molecule in some given volume.
本文研究图g的子图空间g上的三类概率测度，它们分别刻画图的随机扩张树，随机扩张森林和随机连通子图。
We consider three types of probability measures on Q, the set of subgraphs of g, which govern a random spanning tree, a random spanning forest, and a random connected subgraph respectively.
比较邻域结构、均匀场近似、偶对近似、以及入侵概率分析的数学方法也被用来研究空间博弈模型。
In spatial game models, mathematical methods of comparing the local payoff structures, mean-field approximation, pair approximation, as well as invasion probability analysis are also used.
本文的目的是把增生映象的概念推广到概率赋范空间，并研究具增生映象的方程在概率赋范空间中解的存在性条件。
The purpose of this paper is to expand the concept of accretive mapping to probabilistic normed spaces and to study the existence conditions of solutions for the accretive mapping equations.
然后，结合图像帧间的差分信息以及灰度分布的先验概率等因素将图像从空间域映射至统计域。
Then, every frame is mapped from spatial domain to statistical domain incorporating the factors such as the difference image from the consecutive frames and the prior distribution of a pixel density.
本文提出了概率度量空间纲的概念，并证明了完备的概率度量空间是概率第二纲集合。
This paper brings forward the concept of category on probabilistic metric Spaces and proves that complete probabilistic metric Spaces is a set of the second category.
本文给出的概率模型考虑了大地震的发生在空间上的记忆性。
A probabilistic model for large earthquake occurrences with spatial memory is presented in this paper.
本文给出的概率模型考虑了大地震的发生在空间上的记忆性。
A probabilistic model for large earthquake occurrences with spatial memory is presented in this paper.
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