线性的

As we all know, it is equivalent to the null controllability of a cascade system governedby two linear degenerate parabolic equations. Next, we study the null controllability of acascade system governed by a semilinear degenerate parabolic equation and a semilinear heatequation.

众所周知，这等价于两个线性退化抛物方程构成的耦合系统在单个控制作用下的零能控问题；接下来我们又考虑了一类半线性退化抛物方程与半线性热方程构成的耦合系统的零能控问题。

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。

We get the necessary and sufficient conditions about admissibility for linear estimators of estimable function among the inhomogeneous linear class.

利用矩阵的向量化方法，研究了带线性约束的增长曲线模型中可估函数的线性估计在非齐次线性估计类中可容许的充要条件。

This paper studies on weak invertibility of a linear finite automata based on its matrix model,gets a full and essential condition on which a linear finite automata weakly and invertibly delays finite steps,and also gives an algorithm whether or not a linear finite automata has weak invertibility .

主要讨论了基于矩阵模型表示的线性有限自动机的弱可逆性，利用矩阵模型得出了线性有限自动机延迟有限步弱可逆的充分必要条件，并且给出了线性有限自动机是否具有弱可逆的算法。

The general form of the linear constraint s is described and the genetic optimization approach for such problems are introduced.

介绍了线性约束条件的一般形式及线性约束条件的遗传优化方法，较全面地阐述了相对于各线性约束条件的各遗传算子的特点、作用及其产生方法。

The most significant content in linear algebra is the linear equation group, which theory researches and applications run through the whole curriculum.

线性方程组是线性代数的一个极其重要的内容，有关线性方程组理论的研究及应用始终贯穿课程的始末。

The Locally Linear Embedding algorithm based on Manifold learning is introduced firstly in this paper,because the

从分析基于流形学习理论的局部线性嵌入算法入手，针对传统的局部线性嵌入算法在源数据稀疏时会失效的缺点，提出了基于局部线性逼近思想的流形学习算法，并在S-曲线上采样测试取得良好降维效果。

Firstly, we apply block AOR method to find the least square solution of minimal norm to the rank deficient linear systems where A is a complex m*n matrix with rank k.

首先，我们把求解线性方程组的块加速超松弛迭代法应用于求解亏秩线性方程组的最小范数最小二乘解，其中线性方程组的系数矩阵A是秩为k的m*n复矩阵。

The computation results of two given examples show that the method to apply the linear supervised network to the inversion of nonsingular matrix is very effective.

线性监督分类器的瓶颈与能力黄德双（中科院自动化所国家模式识别重点实验室，北京100080）本文研究了线性前馈网络用于监督分类的瓶颈问题，证明隐层节点数小于内间散布矩阵秩的所有网络，其隐层都可以实现前级模式的Fisher线性变换，并揭示了这种分类器

Since the size of image covariance matrices is same as that of images and the within-class image covariance matrix is usual nonsingular, thus, the difficulty resulting from high dimensionality and singular case are artfully avoided.

该文提出了一种基于复向量进行特征表不的并行融合新策略，建立了复线性投影分析的理论，给出了复特征空间内进行线性特征抽取方法，事实上，经典的线性投影分析理论与方法只是本文理论与方法的一个特例。

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。