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Meanwhile, important random acute angle principle、theorem of random full mapping and theorem of random one-one mapping are proved.

同时我们证明了重要的随机锐角原理、随机满射定理和随机一一映射定理。

Then, both the stationary and non-stationary random response of hysteretic system with cubic rigidity and sticky damp were deduced and calculated. In the research of colored white noise, the filter for shaping the power spectral density was designed and the random state response of enlarged vector was gotten. With this, the experimental power spectral curve was changed into colored white noise and the random response could be easily calculated.

对平稳白噪声,给出了平稳响应的求解方法并对平稳状态下的模型参数对响应的影响进行了比较与分析;在有色白噪声的研究里,通过有色白噪声的扩阶方法和构造成型滤波器来计算有色白噪声的响应,从而解决一类工程实际振动问题的仿真模拟。

As for continuous random variable, the connection of distribution function between random variable and its function -- a new random variable can be obtained first according to the definition of distribution function, then the connection between distribution densities can be obtained by derivation; thus the distribution density is solved.

对于连续型随机变量ξ来说,可由分布函数的定义先求出随机变量ξ和它的函数η=f这个新的随机变量的分布函数之间的联系,然后通过求导,得到密度函数之间的联系,从而求得η的分布密度。

The faults of pipelines were separately treated in discrete random variable and continuous random variable using the probability analysis method and choosing the reasonably different probability models based on the fault statistics data of pressure pipelines extracted from random inspection, and the fracture failure probability of pressure pipelines was calculated using the fracture failure risk analysis system for pressure piping system containing defects.

以抽检得到的压力管线缺陷统计数据为依据,采用概率分析方法,通过合理选取不同概率模型,将缺陷分别按离散型及连续型随机变量进行处理,应用在役压力管道失效风险分析系统计算出管线的断裂失效概率。

A decimator receives a feedback random bit sequence and provides an output random bit sequence that is representative of a selective outputting of the feedback random bit sequence.

抽取器接收反馈随机比特序列并且提供输出随机比特序列,所述输出随机比特序列表示所述反馈随机比特序列的选择输出。

Content: In this paper, we investgated the type of two kinds of random Dirichlet series and the order and the type of two kinds of B-valued random Dirichlet series by use the methods of complex analysis, probability and random series.

本文运用复分析、概率论及随机级数的知识与研究方法,研究了两类随机Dirichlet级数的型和两类B-值随机Dirichlet级数的级和型,全文共分三个部分:第一章:简单介绍本研究方向的发展历史,研究现状以及一些必要的预备知识及其记号。

Based on the equivalent transformation from fuzzy possibility distribution to random probability density distribution, the fuzzy random failure probability calculation can be formulated easily, and a First Order and Second Moment method for fuzzy - random analysis is established.

提出了模糊随机可靠性分析的近似解析和数字模拟综合方法,基于模糊变量的等价随机化变换,可以方便地得到模糊随机失效概率的计算公式,并建立了模糊随机可靠性分析的一次二阶矩法。

The mechanical parameters in the model are treated as random variables and it is then resolved with Taylor extension stochastic finite element method, The distribution characteristics of the pore pressure, the effective stress and the displacement are researched by treating the mechanical parameters of the rock as random variables. The sensitivities of the pore pressure, the effective stress and the displacement to the random mechanical parameters are also analyzed.

视模型中的参数为随机变量,采用Taylor展开随机有限元法对该模型进行数值模拟,研究参数具有随机性情况下耦合场中孔隙压力、有效应力,位移等场变量的随机分布特征及孔隙压力、位移等场变量对参数的灵敏度。

A new data management algorithm for anycast based random sampling in sensor networks;2. Composite random sampling algorithm for scheduling concurrent projects;3. In the existing methods of random summing of total resource,the shape of the total resource curve sometimes distributes skewly,in view of which,the new method was put forward to improve random sampling .

针对现有的资源总量随机求和中存在的资源总量曲线形态有时呈偏态分布的问题,提出了对其随机抽样方法的改进方案,即把随机抽样入口由原来定义在(0,1)区间上改为定义在(0,ki)区间上(ki为第i个局部地质单元的石油资源量保险系数),利用(0,ki)区间上均匀分布的随机数对风险分析后的资源总量分布函数进行随机抽样。

Throughout comparing the above estimating methods, we have the following results: the estimators of the moments of the errors does not depend on the random effects, and that of the random effects does not depend on the errors, and then the corresponding asymptotic variances are very simple and optimal; when the random effects are multivariate, we can not construct different estimating equations for the random effects and errors respectively, which results that the asymptotic covariances of estimation are very complex and then the estimating efficiency is bad.

比较上述两种估计法,我们发现:当随机效应是一维的时侯,误差的各阶矩的估计不依赖不可观测的随机效应,随机效应的估计也不依赖误差,因此,估计的渐近方差结构特别简单也是最优的;而当随机效应是多维的,因为随机效应的协变量的影响,我们没有办法针对随机效应和误差的各阶矩分别建立估计方程,这导致所得的估计的渐近方差或者协方差矩阵特别复杂,从而估计的效果不是很好。

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