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However, in some situations, models are hard to satisfy these assumptions at the same time. We meet a number of random errors with serial correlation and heteroscedasticity in practical problems. The rationality of these assumptions for random errors is doubtable. Therefore, it is necessary to test for correlation and heteroscedasticity in regression, which is an important step of dealing with regression problems and plays an important role in theory and practice.

但实际问题中，回归模型很难同时满足Gauss-Markov的三个假设，人们在实际问题中发现许多随机误差出现序列相关和方差不同的现象，因此对回归模型的随机误差的独立性和方差齐性的假设产生了质疑，从而展开了回归模型的相关性和异方差检验的研究，它是处理回归问题的重要步骤，在理论和应用上都有十分重要的意义。

However, the rationality of this assumption of homoscedasticity of random effects is doubtable. Therefore the verification for heteroscedasticity of random effects is absolutely necessarily and important for dealing with the regression problems in theory and practice.

因此观测数据的随机效应方差齐性检验是非常必要的，它是处理回归问题的重要步骤，在理论和应用上都有十分重要的意义。

The "stemma equimultiple random select cross method" and "random mating method" were used to propagate offspring population of Langshan chicken. For each population, the pedigree of individuals were ascended up to 5 generations. Then, their generation increment of inbreeding coefficient was caculated using the regression slope rate.

以狼山鸡为素材，利用"家系等量随机选配法"和"随机交配法"2种保种方法进行继代繁殖鸡群，每个保种群每个世代的鸡只均逐只编制往上追溯5代的系谱图，利用回归斜率分析方法计算世代增量。

Equiprobability is an important character of random key quality,this paper analyzes the lack of frequency test in detecting equiprobability ,then puts forword a test method of random binary sequence in equiprobability .

等概性是随机密钥品质的一个重要特性，分析了频数检验在检测等概性上存在的不足，并提出了一种随机二元序列等概性的检验方法。

The results show that the system can keep certain smoothness with short delay, but the control precision can decline with the accretion of time delay, long random delay will not only reduce system expeditiousness, but also the smoothness and control precision at the same time. If the random delay is long enough, it can destroy the stability of networked control systems.

研究结果表明：系统在较小的延时下仍能保持一定的稳定，随着延时的增大，系统的控制精度有所降低；而较大的随机延时不但降低系统的总体快速性，同时，使系统的稳定性和控制精度明显降低，而当随机延时大到一定程度时，系统的稳定性难以保证。

We definite and study the very extensive nonlinear random effect models, i. e. exponential family nonlinear models with random effect, then we employ the Laplace methods to deal with these models. Based on this method, the fixed effect parameter estimates and Gauss-Newton formula are obtained. Some asymptotic properties of estimate are proved under some mild assumptions.

首次定义并研究了一类非常广泛的非线性随机效应模型-指数族非线性随机效应模型，并应用Laplace展开方法，给出该模型中固定效应参数的估计以及Gauss Netown选代算法，同时讨论了参数估计的渐近性质。

Pattern A and B are for the threads. C is created using the noise filter and vertical motion blur. D is another layer of just noise and E is the scaled version of D. F is a layer with random black and white dots. A and B is passed through a distort-glass filter just to give it that random weaving effect.

图案A和B是细线。C的创建是由杂点滤镜和垂直运动滤镜模糊制作的。D是另一层就是杂点，E是对D的放大结果。F是一层随机的黑白点构成。A和B再通过扭曲里的玻璃滤镜得到一个随机编织效果。

In 1986, Falconer discussed the random net fractals and self-similar random net fractals.

Falconer在1986年的文章中讨论了随机网分形。

The paper focuses on the design and realization of direct frequency and false random yard and proposes the FPGA hardware design of the model based on the analysis and study of the theory of spread spectrum communication,the whole structure of the signal source and false random yard.

文中以直接频率合成和伪随机码的设计与实现为中心，对扩频通信的基本理论、信号源的总体结构、伪随机码等问题进行了深入的分析和研究，并给出了模块的FPGA硬件实现方案。

The main results are as follows:(1) Based on the basic ideas of Hough transform and random Hough transform, a new method for the detection of general quadric curves was proposed, which used the representation of a family of quadric curves passing through four random selected points.

取得的主要结果如下：（1）基于Hough变换和随机Hough变换的主要思想，利用过四点的二次曲线簇表示，提出了一种一般二次曲线的检测方法。

The system can be widely used in belt weighing and batching process control,etc.

介绍了基于智能模糊控制的嵌入式配料系统的设计方法，对模糊PID控制过程和系统调零作了重点的讨论，同时给出了PID控制的程序流程图和系统定长调零子程序。

"I dunno," she answered,"but if you show me aroun', I'll recognize it from the lighthouse just outside the porthole."

"我不知道，"她回答说，"如果你能带我转转，我能认出来的，因为灯塔就在舷窗外。"