查询词典 linear independence

Kalman further invited me to co-author a paper with him considerably generalized the idea of linear independence in dynamic systems to the concept of "controllability" a fundamental idea in control.

Kalman的方法则在动态系统上使用了时域和微分方程模型，这在当时是非常离经叛道的，主流观点对此质疑很多。

By imposing continuity conditions at the soil-pile interfaces and taking account of the linear independence of trigonometric function, analytical solution of the problemns were obtained.

数值算例对排桩后面的饱和土体的竖向位移振幅衰减进行了分析，探讨了入射波频率和桩土弹性模量比等参数对饱和土中排桩隔离效果的影响。

Taking into account the orthogonality and linear independence of trigonometric functions, closed-form expressions for scattering coefficients are developed by imposing continuity conditions of pile-soil interfaces and equilibrium conditions of piles.

通过施加问题的连续条件和平衡条件，利用三角函数的正交性以及不同阶三角函数线性无关的性质，得到问题的解。

Generally ,in the traditional text classification system , there is a assuming that the relation between words in article is linear independence and inter-relationship between feature dimensions in the vector space model is orthogonal, however ,in face there are various relationships in the text context , such as synonymy , similarity , conjunction etc.

在传统的文本分类系统。

Another reason is that the degree of linear independence of the variable basis functions composed by sigmoid functions decreases as the hidden nodes increasing, and this lead up to the inferior matrix condition number during learning, which forces the learning step length to decrease and the convergence speed to slow down.

一是因为未知系统复杂时需要较多的隐节点，从而学习的参数过多减慢了学习速度；另一个原因是随着隐节点数增加，由Sigmoid函数构造的可变基函数线性无关程度减弱，从而导致学习过程中矩阵条件数变差，迫使学习步长减小，收敛速度不得不减慢。

In theory we require linear independence among variables used as inputting or outputting of BP net when we model the mineral processing plant with BP net. However it is always definite relativity in inputting variables or outputting variables in modeling of the mineral processing plant, which sets definite obstacle in high quality modeling.

在应用BP网络建立选矿厂数学模型时，理论上要求作为BP网络的输入变量之间或输出变量之间应是线性无关的，而选矿厂数学建模中，输入变量之间或输出变量之间往往存在着一定的相关关系，这对建立高质量的模型设置了一定的障碍。

First, the reason behind the negative data is analyzed and a nonnegative constraint is imposed on the classic PCA. Then a set of nonnegative linear independence weight vectors of principal components is obtained, by which a low dimensional space is constructed. Finally, a nonlinear optimization technique is used to determine the projection vectors of the high-dimensional multi-spectral data in the constructed space.

首先分析主成分分析法产生非光谱数据的原因，据此对经典主成分分析模型增加非负约束；然后求出一组线性无关的非负主成分权向量，用该组向量构造低维空间；最后用非线性优化技术确定高维数据在该低维空间中的投影值，实现了高维空间与低维空间的相互转换。

Then through solving that equation, a set of nonnegative linear independence weight vectors of principal components was obtained, by which a low-dimensional spectral space was spanned.

针对经典主成分分析法进行多光谱图像数据降维会使重构光谱反射比出现负值的问题，提出一种非负主成分分析法，并用该法构造低维光谱空间，实现高维多光谱数据与低维光谱空间的转换。

Chapter2, mainly summarizing the optimality conditions for the nonconvex semidefinite programming, first recalls the concept of transversality condition, proves that transversality condition and linear independence condition are equivalent, and shows that under strict complementarity condition, the transversality condition is a sufficient condition for uniqueness of the Lagrange multipliers.

第2章，主要综述非凸半定规划的最优性条件，首先回顾了横截性条件的概念，证明了横截性条件与线性无关条件是等价的。并且说明了在严格互补松弛条件下，横截性条件是Lagrange乘子矩阵唯一的充要条件。

Then the joint moment generating functions of a linear compound and a quadratic form, and two quadratic forms, and conditions for their independence are given.

其次我们推导出一个线性组合与一个二次形式，及两个二次形式的联合动差母函数，并且给出一些它们相互独立的条件。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。