查询词典 linear independence

A parallel algorithm for certain real symmetric block-tridiagonal linear systems on distributed-memory multicomputers is proposed. This algorithm is based on the block factorization of the coefficient matrix. This algorithm is used to solving the block-tridiagonal linear systems resulted from the finite difference approximation to Poisson's equation with Dirichlet boundary conditions. Then we get a parallel algorithm which speedup tends to linear speedup.

7研究了一类实对称块三对角线性方程组的分布式并行求解，提出了一种基于块矩阵分解的高效分布式并行算法，将其应用于求解带Dirichlet边界条件的Poisson方程导出的块三对角线性方程组，得到加速比趋于线性加速比的分布式并行算法，理论上说，这也是并行算法的理想情况。

The Periscope Drawtube will be bent because of the water resistance in sailing and this bend will cause the error of star measurement. Due to its especial structure, contactless measurement is the only way to measure its bend degree. First this paper introduces the method by linear array CCD based on structure and light path; Second it expatiates linear array CCD work principle and driving scheduling with example of TCD1501C and the driving circuit by CPLD. The output signal of linear array CCD includes common disturbance so the differential amplifier is needed. In order to make the signal adapt to computer processing, a threshold circuit with Schmitt characteristic and the data process following threshold are given. At last, some key problems in application are given.

潜艇潜望镜的镜筒在航行时受到水的阻力会产生弯曲变形，这种变形会造成潜艇对星体测量的误差；由于镜筒结构的特殊性，对其弯曲程度的测量只能采用非接触方法；首先从结构和光路方面介绍采用线阵CCD作为检测元件实现对镜筒弯曲程度的测量；其次以东芝公司的线阵CCD（TCD1501C）为例阐述了其工作原理及驱动时序的控制要点，并介绍了基于可编程逻辑器件的线阵CCD的驱动电路；线阵CCD输出的信号中含有共模干扰，必须采用差分放大器将其抑制；为将信号转化为适合计算机处理的数字信号，文中给出了有一定实用价值具有施密特特性的二值化处理电路及二值化后的数据处理过程；最后阐述了在实际使用中的一些关键问题。

Secondly,the author puts emphasis on "the simple linear programming"----the teaching design's whole blueprint in high school, the strategy on how to deal with the relation between dual inequality and linear programming; how to establish the linear programming model; the strategy on how to find the optimal solution; the several situations of the optimal solution's positions.

其次重点研究了"高中简单的线性规划"教学设计的总体构想；处理线性规划与二元一次不等式关系的策略；如何建立线性规划模型；线性规划问题中最优解的找法策略，最优解的位置的几种情况。

A new precision positioning stage is designed with the adoption of both magnetic suspension and linear drive technology which employs a linear synchronous motor as to avoid friction, elastic distortion, hysteresis and non-linear errors.

设计了一种集磁悬浮技术和线性驱动技术为一体的微电子设备用进给机构。

The elementary transformation matrix throughout the linear algebra theory has, it makes some of the problems of linear algebra, become more simple, makes it easier to understand, so elementary transformation in the role of linear algebra is very important.

标签：论文摘要，翻译，论文矩阵的初等变换贯穿于整个线性代数理论的始终，它使线性代数里的一些问题变的更加简单，使人更容易理解，所以初等变换在线性代数中作用十分重要。

Linear discriminant similar to esthesia device, classifies all points of the training assembly through searching linear combination which can best segment variables of all types, and Fisher linear discriminant was the first one.

与感知器类似的线性判别式是通过搜索可以最佳分隔各个类别的变量的线性组合来对训练集合中的所有点进行分类，最早的是Fisher线性判别式。

Chapter Four deals with the linear admissible minimax estimators of linear estimable function of parameter matrix in the given linear estimator for a general growth curve model.

第四章讨论了一般增长曲线模型参数阵的线性可估函数在给定的线性估计类中的容许Minimax估计，并给出了具体的表达式。

In Section 3,we give the simple narration aboutthe Bayesian analysis and Bayesian inference of the general linear model,and consider two specifica-tion of the general linear model.Based on these we give the point estimation,region estimation(includ-ing the high posterior density estimation)to the parameters and the predictive analysis of the generallinear model and so on.And in the final of this chapter we introduce some relative references about theBayesian analysis of Linear Model.

第三节就布罗米林对一般线性模型所作的贝叶斯分析与推断给出简单阐述，考虑了一般线性模型的两种设定，基于此给出一般线性模型参数的点估计、区域估计以及预测等贝叶斯分析和推断，并且介绍有关线性模型的贝叶斯分析的主要参考文献。

The early references include -[5], which are based on the linear models or generalized linear models; on the other hand, [6]-[10] are those based on the nonlinear models which are more practical. But they are all restricted in the exponential family of distributions. That will not practice in most of the trials. Although being the most flexible among them, the estimation methods in [1] has many disadvantages for requiring the model to be generalized linear. Based on [1], this paper extended the method to the generalized nonlinear model.

较早的如[1]-[5]，他们都是基于线性或广义线性模型进行分析研究；而基于更为实用的非线性模型的研究则有：[6]-[10]等，他们大多由于模型要求数据属于指数分布族或者模型假定为线性模型，这都限制了模型的实用性，其中以[1]所提的一系列广义线性估计方程实用范围较广，但其模型中要求的广义线性模型还是具有一定的局限性。

On the basis of 414 soil profiles from 14 provinces, it was found that soil organic carbon, differing from soil inorganic carbon and other elements, has a trend of exponentially decreasing with depth. Integral analysis of exponential curve contrasting with the linear model affords the uncertainties of linear model and exponential model for carbon storage calculation. It was found that the integration of TOC with the linear model has errors between +20% to +100%, much higher than that of the exponential model (-10% to +20%).

在收集分析14个省市414条的土壤剖面数据的基础上，发现土壤有机碳的垂直分布与无机碳和其他元素不同，存在指数分布规律，运用面积积分运算方法发现利用直线模型计算土壤有机碳库的误差(+20％~+100％)远大于指数模型的误差(-10％~+20％)。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。