多变量的

However, learning from previous scholars, we can find the deficiency: they usually attributed the reasons of regional economic growth and the disparity to certain factors such as investment, human resources and location etc, and regarded "institution"as exogenous variable when they analyzed the issues concretely.

但是从前人的研究中，我们可以发现他们在分析地区经济增长及所出现的差距时，更多地是将其归因于某种具体的因素，如投资、人力资本、地理位置等的不同，而且在进行具体的理论与实践相结合时，都是将制度作为外生变量来对待，从而使其结论难免有失偏颇。

Then we extend a lemma of Paley-Zygmund to-Zygmund to the cases of non-equally distributed and study the value distribution of more general random Dirichlet series with this lemma.

通常随机级数研究的是同分布随机变量序列，这里通过推广Paley-Zygmund引理，把随机级数的研究引向一般得多的不要求同分布的情况。

Generalized Linear Models are an extension of the linear modeling process that allows models to be fit to data that follow probability distributions other than the Normal distribution, such as the Poisson, Binomial, Multinomial, and etc.. Generalized Linear Models also relax the requirement of equality or constancy of variances that is required for hypothesis tests in traditional linear models. Hypothesis tests applied to the Generalized Linear Model do not require normality of the response variable, nor do they require homogeneity of variances.

广义线性模型是线性模型的扩展，对数据的要求不必局限于服从正态分布，同时放松了对"方差一致性"的要求，这在传统的一般线性模型假设检验中是必不可少的，而在广义线性模型假设检验中，响应变量也可以服从其它分布（如：泊松分布，二项分布及多项分布等）。

Aiming at such kind of 0-1 integer programming problem,a chaotic searching algorithm is proposed to solve it.

针对该类0-1整数规划问题，给出一种基于混沌搜索的求解算法，该算法让多个独立的混沌变量在其各自的轨道中搜索，使得对应生成的0-1矩阵能遍历任意一种可能的分布，从而能搜索到全局最优解。

For the single objective optimization, the decomposition and coordination method is adopted to build the decomposition and coordination model according to the existing sub-area division conditions of power networks. Then using the Augmented Lagrange method, the minimization problem of decomposition and coordination model can be changed to the saddle point problem of augmented Lagrangian function. Finally, the so called auxiliary problem principle is selected to decompose variables as well as the functions. This transforms the voltage and reactive optimization problem of the wholenetworks to some sub-problems in some sub-areas.

对于单目标无功电压优化，根据实际电网分区情况，采用分解协调法复制各分区的边界节点，建立分解协调模型，采用增广拉格朗日法将求分解协调模型的极小值问题转化为求增广拉格朗日函数的鞍点问题，然后采用辅助问题原理分解变量和增广拉格朗日函数，从而将全网无功电压优化问题分解为多个分区的分布式并行优化问题。

Stment to developed country and the Chinese direct investment to developing country. On this basis, we get four regression models. Considering there are more variables in the equations, It will product multicollinearity, so we utilized a new method which is ridge regression.

在这个基础上，我们提出了四个回归模型，由于考虑到方程中的变量较多，产生了多重共线性的现象，在回归过程中我们利用的是岭回归的方法。

The multiscale model is not only capturing the several important ways in which a data analysis or signal processing problem can have multiscale characteristic, but also leading to an efficient and highly parallelizable algorithm for optimal estimation of stochastic processes.

此模型的的建立不仅是获取具有多尺度特征的数据分析或信号处理问题的一种重要方式，同时，利用它还可以为最优估计随机过程的状态变量诱导出高度有效、并行迭代算法。

And an exact maximum likelihood registration algorithm is presented based on three-dimensional plane. This method contains two sets of partially separable variables (the actual target positions and the sensor registration errors) and provides a two-step recursive optimization algorithm to ensure fast convergence. Described by expressions:(5.26)?(5.39). It resolves the problems on Multiple-platform.

同时本文还推导出了三维立体投影的极大似然配准算法，算法包括两组部分可分的变量：实际目标位置和传感器的配准误差，利用两步递归优化算法对收敛速度进行了优化处理，实现过程可参阅式5.26～5.39，此算法解决了不同平台内多传感器配准过程中所存在的问题。

Four main types of spatial binary links are investigated in details for kinematic synthesis both in precision-position synthesis and multi-position synthesis. In terms of the invariants of spherical curve and cylindrical curve, the mathematical models of adaptive fitting sphere and cylinder are constructed by means of the saddle-point programming.

再次，根据常见空间机构运动副组合的约束曲线与约束曲面的曲率理论，阐述了空间机构运动综合的基本要素及其不变量拟合理论与方法，研究了有限位置和多位置情况下，自适应综合方法在空间S-S、C-S、C-C和S-C四类二副杆组运动综合中的应用，实现了自适应综合方法从平面到空间的扩展。

As an efficient 2-D capacitance extract method, ES-MEI can solve a multiconductor in multilayered dielectric media problem using the comparable unknown number like in the integral equation method as well as the sparse matrix like in FD.

作为进行二维电容参数提取的有效方法，使其能以与积分方程法相当的变量数以类似有限差分法的稀疏矩阵处理分层介质中多导体传输线的电容提取问题。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。