随机

In 1978, Bismut first introduced a linear backward stochastic differential equation when he studied the stochastic optimal control.

1978年，法国数学家Bismut在研究随机最优控制时首次提出了线性倒向随机微分方程。

Here we obtain that the randomiza-tions of the element of the subspace〓of〓are the pointwisemultipliers of〓almost surely.Furthermore,the random Dirich-let type functions are studied by way of Lipschitz condition.

另外对随机Dirichlet型函数的研究借助了Lipschitz条件，结果表明〓的某子空间的元素的随机化在概率为1意义下满足q-Lipschitz条件。

To investigate the genetic differences between the Liquidambar formosana populations at different altitudes and in the same light conditions in Wuzhi Mountain of Hainan, the samples of Liquidambar formosana at 7 altitude levels and the 6 samples (among which, there were 3 samples from shade conditions and 3 from sunlight conditions) from the same altitude (700 m) were made a study in molecular biology by RAPD method, with 50 random primes in use.

为了解五指山不同海拔下枫香居群之间的遗传差异，用50个随机引物，应用随机扩增多态性DNA方法，分别对7个海拔梯度、相同光照条件下的枫香样品和710 m海拔高度的6个枫香样品（3个阴性条件样品和3个阳性条件样品）进行了分子生态学研究。

The Hausdorff measure for the level sets of multi-parameter symmetric stable processes has been obtained and the inner connection of the measures and local times for it has been demonstrated, which describes the fractal nature for the level sets of this kind of processes. As we know, it is always one of the focuses in the field of random fractal. The reasult of the existence and continuity of the local time for multi-parameter stochastic processes with stable components has been got in the project. Then we gained the measure for the random fractal sets such as the range and graph of this kind of processes. Furthermore, a progress besides the mentioned above in the project is that we have resolved the multifractal analysis of the sample paths for Brownian sheet, that is the multifractal decomposition of white noise in high dimension.

解决了多指标对称稳定过程水平集的Hausdorff测度问题，同时给出N指标d维稳定过程水平集的Hausdorff测度下界的最佳估计，它们揭示了其水平集的测度与局部时之间的内在关系，刻划了多指标对称稳定过程水平集的分形特征，表明了研究此类问题的积极意义，该问题是随机分形研究领域的国内外学者所关注的热点问题之一；解决了多指标稳定分量过程的局部时存在性与连续性问题，进而解决了由多指标稳定分量过程产生的随机分形集--象集、图集的测度问题；此外，本研究项目还解决了布朗单样本轨道的重分形分析，即高维白噪音的重分形分析问题。

Based on the approach of turning some of the relevant extreme-value-type and logarithmic normal distribution variables into independent and normal random variables, the shear-slipping failure probability of a high arch dam is worked out to be of the order of magnitude of 10^(-5) by means of second-order moment method.

在将部分相关的极值型与对数正态分布随机变量转换为独立、正态随机变量的基础上，利用二阶矩法计算得到某高拱坝的剪滑失效概率为10^(-5)量级。

By means of statistical inference as well as hypothesis test method, it is determined that the variables of compressive stress and shearing stress are of Extreme-value Ⅰ Distribution and that the variables of frictional coefficient and cohesion coefficient are of Logarithmic Normal Distribution.

应用统计推理和假设检验方法分析得知，压应力与切应力随机变量呈极值Ⅰ型分布，摩擦系数与粘结力系数随机变量呈对数正态分布。

The random cascade model with a lognormal distribution is used to simulate the infiltration process in soils, and the different methods are applied to estimate the model parameters.

随机层叠模型中具有对数正态分布性质的随机层叠发生器被用来描述水流入渗过程，不同的方法被用于模型参数求解。

Turing machine, random access machine, primitive recursive, cellular automaton, finite state machine, cell probe model, pointer machine, alternation, alternating Turing machine, nondeterministic Turing machine, oracle Turing machine, probabilistic Turing machine, universal Turing machine, quantum computation, parallel models: multiprocessor model, work-depth model, parallel random-access machine, shared memory.

图灵机，随机存取机，原始递归，元胞自动机，有限状态机，细胞探针模型，指针机，交替轮流进行，图灵机，非确定性图灵机，甲骨文图灵机，概率图灵机，通用图灵机，量子计算，并行型号：多模式，工作深入模型，并行随机存取机，共享内存。

Inventory Routing Problem; Time Window; Stochastic Demand; Markov Decision Process; Simulation

库存-路径问题；时间窗；随机需求；马尔科夫决策过程；随机模拟

Put forward digital watermarking method based on wavelet transform and Markov random field.The method that is proposed in the paper brings Markov random field into digital watermarking technique. Uses MRP to model visual impression of image, obtains allowable distortion of every pixel.

3提出了基于小波变换与马尔可夫随机场的数字水印方法本文将马尔可夫随机场引入到数字水印技术中来，利用其对图像视觉效果建模，求取各象素点的允许失真值。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。