线性

The parameter estimation problem in linear model is considered when multicollinearity and outliers exist simultaneously.

本文讨论复共线性和粗差同时存在时线性模型的参数估计问题。

While dealing with the multicollinearity of design matrix X , the ordinary least squares estimation is always helpless.

基于最小二乘法处理病态阵X共线性问题上的不足，线性有偏估计是改进最小二乘估计最直接的方法。

It uses t-Test and Granger Causality Test to solve the problems of multicollinearity and spurious regression, so the whole model is convictive.

3实证分析部分采用岭回归和Granger因果关系检验的计量方法，有效地克服了时间序列多元线性回归模型中经常出现的多重共线性和伪回归现象，模型整体具有较强的说服力。

In multilinear algebra one deals with the 'several variables' problem of mappings linear in each of a number of different variables, inevitably leading to the tensor concept.

在实践中与非线性问题的差异是很重要的。用线性观点看待问题，并用线性代数的语言描述它，解决它的方法。

In addition to, we emphatically introduce the multilinear separation of variables, and we expound the general solving process about it, else I solve the variable separation solution of the system about DS correlating the process.

另外还重点介绍了多线性分离变量法，对多线性分离变量法的一般求解过程作了阐述，还结合步骤具体求解了DS系统的分离变量解。

Application of multilinear data analysis to the study of dynamics (Chapter 3– Chapter 4):In Chapter 3 it provided a novel method to determine carbaryl and 1-naphthol in river water and tap water and used this method to investigate the hydrolysis of carbaryl.

多线性数据分析在动力学研究方面的应用第三章应用三线性平行因子分析方法直接检测了河水和自来水中西维因及其降解产物1-萘酚的含量，并应用此方法研究西维因在河水和自来水中的降解过程，得到了满意的结果。

It is not easy to solve the problem of tensor product multilinear mapping if only matrix algebra knowledge is used. The introduction of structure matrix will make this problem much easier to be solved and more acceptable among people.

在解决张量积多重线性映射问题时，只用矩阵代数知识解决问题有些繁琐，而引入结构矩阵来解决张量积多重线性映射问题，不仅能使问题变得更加简单而且更加容易理解接受。

In Chapter 3, we investigate the delay-dependent stability analysis of linear multistep methods when they are applied to the neutral delay differential equations. We state a necessary condition for any linear multistep method applied to the neutral delay differential equation to be Nτ(0)-stable.

在第3章中，考虑了中立型延迟微分方程线性多步法依赖于延迟的稳定性分析，给出了任意线性多步法是Nτ（0）-稳定的一个必要条件。

For the thrashing due to true sharing of data, we thoroughly study the relationship between array element accesses and loop indices of a nested loop, present a complete set of ideas, theories, and methods with which the staggering relation and the compacting relation between the threads of the nested loop (either with a single linear function or with multiple linear functions) can be determined at compile-time, and accordingly the nested loop (either perfectly nested or imperfectly nested) can be restructured to avoid the thrashing problem.

使用这套理论和方法，我们在编译时就可以确定出嵌套循环（含单线性函数或多线性函数，紧嵌套或非紧嵌套）各线索间的错位关系，一致错位关系和压缩关系，根据这种关系对嵌套循环进行重构可以使真共享抖动问题得到很好的解决。

The test curve of side skin friction resistance of pile is simplified linearly. The distribution of skin friction resistance is controlled by two factors: the maximum value of negative skin friction resistance and depth ratio of neutral plane. Thus, the simplified linear calculation model of rigid pile composite ground is established.

作者还根据桩体侧摩阻力的试验曲线，进行线性简化，由桩顶的负摩阻力最大值及中性面深度比控制全桩长的侧摩阻力分布计算，从而，建立了刚性桩复合地基桩体侧摩阻力线性简化计算模型。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。