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The notion of a complete random inner product module is a random generalization of that of a Hilbert space.

完备随机内积模是Hilbert 空间的随机推广。

In ordinary regression analysis with random effects, the homoscedasticity of random effects is a basic assumption.

在随机效应回归模型中，随机效应存在时随机效应方差齐性是一个基本假定，在这些假定下，方可进行常规的统计推断。

In the analysis of longitudinal data, when the clusters size are random, it is still a conventional hypothesis that random effects should have homoscedasticity, Otherwise statistical inference would be more difficult.

类似与固定组容量模型，在组容量随机情况下的纵向数据分析中，假设随机效应方差齐性也是值得怀疑的，需要用统计的方法予以确认。

Because the characteristic is combining explosive, it is advised that using Binary SLNN to solve the problem. In order to test the liability of the results, this study will use random researching method in comparison with Weighted Hungarian Method. It is found that the testing result of SLNN is superior to Weighted Hungarian Method in solution-effect and random searching is the worst one.

由於问题具组合爆炸的特性，故本文拟以自我学习神经网路解多目标指派问题，另为使解答有比较之依据，在此与随机合法解及加权匈牙利法的解答作比较；经测试，在解答品质及稳定性方面，以自我学习神经网路表现最佳，加权匈牙利法次之，随机合法解效果最差。

Some new methods of computation for random fixed point index of random 1-set-constractive operator.

利用锥理论给出了随机1-集压缩算子的随机不动点指数的一些计算方法。

In essence, stream cipher is such a pseudorandom generator that its chaos sequence of output and random sequence are computational indistinguishability; and the aim in designing block cipher materially is to design a pseudorandom permutation which is computationally indistinguishable from random permutations.

实际上，序列密码本质上就是一个伪随机生成器G，其输出的乱数序列和随机序列是计算不可分辨的；而分组密码的设计目标实质上就是设计一个伪随机置换，它与随机置换是计算不可分辨的。

2The speed of creating random series used irrational fraction arithmetic was faster than that of multiplicative congruence arithmetic. The correlative value of random series almost was zero.(3) Regarding not harm the images quality as the premise, the speed of FM screening was heightened.

主要结论：利用所建立的条件半色调函数进行图像加网，操作简单、控制精确，使发生阶调不连续处的密度差平均减少到0.01275，明显改善了调幅加网印品的质量；(2)无理数取尾法产生随机数的速度快，数列间几乎没有相关性；(3)在不损失图像质量的前提下，提高了调频加网的输出速度。

By using the algebraic method, we obtain a new formula for the expected hitting time of random walks on strong-connected and aperiodic digrahs (irreducible and aperiodic Markov chain). From this formula, we obtain the explicit expressions for the expected hitting times of random walks on directed de Bruijn graph, directed Kautz graph and some graphs constructed from strong regular graph, etc.

利用代数方法给出了强连通非周期有向图上随机游动（即不可约非周期马尔可夫链）平均首达时间一个新的表达式，并利用这个表达式得到了有向de Bruijn图，有向Kautz图以及和强正则图相关的几类图上随机游动任意两点之间的平均首达时间。

For illusory border induction in the abutting grating illusion it is 5. 3%.(3) Random-dot stereograms are found to induce depth equally well in both display modes. The disparity threshold for perceiving depth in isochromatic random-dot stereograms levels off at a luminance contrast of 30%.

在亮度对比与等亮度颜色对比的条件下，受试者的立体视敏度不存在有统计学意义的差异；并且，当双眼接受不同颜色对比的等亮度立体图对刺激时，与亮度对比条件相比，受试者的立体视敏度也无明显差异。

The paper proposes two new dimension reduction algorithms: The First is On the Expected Distortion Bound of Direct Random Projection. The second is Anchor points based Isometric Embedding under least square error criterion. On the Expected Distortion Bound of Direct Random Projection has a time complexity of O.

本文分别提出了两种新的维数约减算法：(1)基于期望扰动的直接随机映像算法On the Expected Distortion Bound of Direct Random Projection，简称DRP(2基于锚点集的最小平方误差等距嵌入算法(Anchor points based Isometric Embedding under least square error criterion，简称AIE)。

But GST= 0.156, Nm=1. 588. As a result, the foundation of Youyongchi Avicennia marina population was the result of the migration of hypocotyles and human factors.

这项工作可以为海岸防护林中新引进种类的判定以及为研究种群建立者效应方法的确定提供科学依据。

The two-dimensional CDRC-ADI-FDTD update equations for collision unmagnetized plasma are induced. The unconditional stability of the CDRC-ADI-FDTD formulation for collision unmagnetized plasma is obtained by the examples.

推导了碰撞非磁化等离子体中的二维CDRC-ADI-FDTD迭代公式，并用算例验证了碰撞非磁化等离子体CDRC-ADI-FDTD算法也是无条件稳定的。