查询词典 The Matrix

Calculating the functions of the matrix exponential e has special significance in the theory of linear systems and the theory of semi-groups. Especially, in the modern control theory, no matter the equation is homogeneous or non-homogeneous, the result depends on the calculation of the matrix exponential e.

矩阵指数函数e的计算在线性系统理论及半群理论中有着特殊的作用，在现代控制理论中，无论是齐次方程还是非齐次方程的求解，主要取决于矩阵指数函数e的计算和近似。

By solving a axial-symmetrical boundary value problem consisting of a infinite solid and an isolated spheriodal particle embedded in an infinite matrix, some interesting results are found as follow:(1) at the micron scale, the smaller the particle is, the higher the stresses at the matrix/inclusion interface and within the particle are;(2) this size effect is more remarkable with decreasing the stress triaxiality and increasing the remote equivalent strain.

通过对三轴应力下含椭球夹杂的无限大体边值问题的分析，结果表明：(1)在微米尺度下，夹杂尺寸越小，夹杂/基体界面的法向应力、剪切应力和夹杂内部主拉伸方向的应力越高。

From the matrix theory and the general principle of the iterative convergence of the linear coupled equations, this dissertation firstly proved the sufficient necessary convergent conditions for CMAC batch learning as well as the necessary convergent conditions for CMAC incremental learning, in which no additive conditions were needed. The past researchers'conclusions under the special condition of the positive articulation matrix are generalized and improved.

从矩阵理论和线性方程组迭代收敛的一般性原理出发，首次在不附加特殊条件的情况下，证明了CMAC学习算法在批量和增量两种学习方式下收敛的一般性定理，给出CMAC算法在批量学习方式下收敛的充要条件，以及在增量学习方式下收敛的必要条件，对前人在关联矩阵正定的特殊条件下得出的结论进行了推广和改进。

An iterative factorization method based on linear subspace for projective reconstruction is presented in the paper. It relies on the facts that the rows in the matrix including all the image points span the same linear subspace as the rows in the matrix including space points and the fact that any basis of the subspace can be regarded as projective reconstruction. The projective reconstruction and the depth factors are obtained based on linear iteration.

摘要该文提出了一种基于子空间线性迭代的射影重建方法，该方法利用所有的图像序列构成的行向量生成的线性子空间之和与射影重建结构点构成的行向量生成的子空间是同一线性子空间及在该子空间中任何一个基底都可以作为射影重建的特性，线性迭代地求取射影重建及图像深度因子。

Taking the drawing die for the wheel spoke as an example, a method by adopting the rigid blank_holding ring after refining treatment, and by controlling the clearance between the blank_holding ring and the matrix surface and reducing the curvature radium of the matrix mouth was introduced.

以车轮轮辐拉伸模为例，介绍采用调质处理的刚性压边圈，并通过控制压边圈与凹模平面的间隙和减小凹模口圆角半径的方法，能够实现在普通压力机上直接拉伸，使制件质量稳定、操作简便，并降低了生产成本，提高了材料的利用率。

In order to speed up the convergence speed, the each one step of the Landwber iteration is discomposed into the matrix computation and solution and a quick iteration scheme is given for the matrix computation. The relevant accelerated algorithm is given too. Numerical example proves that the accelerated algorithm can quicken convergence speed, reduce the calculation burden, and overcome the obstacle of application of Landweber method of iterated regularization.

为了加快Landweber迭代收敛速度，将每一步Landweber迭代分解为矩阵计算和求解，对矩阵计算部分设计了一种快速迭代格式，并给出了相应的加速算法，通过数值实验验证了这种算法能够大大加快收敛速度，有效的减少计算量，解决了Landweber迭代正则化方法在实际应用中的障碍。

In the frame, Design Structure Matrix is the tool to build up the models of product structure and development process. The product structure topology tree is defined, and the product structure DSM model is introduced. The formalized description about development process model is presented. The characteristics of the tools to build up development process are analyzed, the strongpoint of DSM is discussed, and the development process model based on DSM is introduced. The relation between product structure and development process is analyzed.

在研究框架中引入了产品结构和开发过程的建模工具——设计结构矩阵(Design Structure Matrix， DSM)；给出了产品结构拓朴树的定义及其形式化描述，并在此基础上引入了产品结构DSM模型；给出了产品开发过程模型的形式化描述，比较了几种常见的产品开发过程建模工具，分析了用DSM建模工具进行产品开发过程建模的优势，引入了产品开发过程DSM模型；分析了产品结构与开发过程之间的联系，提出了两者之间的集成机制，并在此基础上给出了IM-PSDP模型。

Nanoparticle of an appropriate proportion were homogeneously dispersed in the PI matrix, and the interfacial adhesion between the matrix and the nanoparticle was hence strong owing to the high specific surface area and reactivity of the nanoparticle. Subsequently, the molecular chains of PI attained unchanged or even increased interaction at a proper mass fraction of the nanometer particle, which contributed to improve the wear-resistance of the nanocomposites.

采用PI的原位聚合填充方法，利用聚酰亚胺与无机纳米表面较强的相互作用（如静电作用、较强的范德华力、氢键甚至化学键的形成），用非水悬浮工艺制备了无机纳米/聚酰亚胺纳米复合材料，率先用大型分析仪器全面地表征了复合材料的结构，采用原位聚合填充法制备的聚酰亚胺复合材料中，无机纳米分散状态良好；无机纳米氧化物/聚酰亚胺复合材料的结构表征显示出PI有机相和SiO〓无机相之间形成了键联型复合体系，两相相互影响；在复合体系中，单相本体的结晶结构并未发生改变；在摩擦过程中纳米氧化物没有发生价态的转变；无机纳米氧化物的加入，提高了聚酰亚胺的耐热等级；适量纳米氧化物并不影响复合材料的机械性能， 2。

The singular values of the project can be used as the character vector. The singular values of the scaling invariant can be obtained by the statistical characteristics of Radon transform. Since the singular values of the matrix are uncorrelated with the position of the column or the row of the matrix. In this way, the character vector of singular values with shift, scaling and rotational invariant is arrived at by this algorithm.

针对各颜色分量，利用Radon变换的奇异值的统计特性提取了具有尺度不变性的奇异值，由于矩阵的奇异值分解具有旋转不变性，因此该奇异值为平移、尺度和旋转不变的特征向量。

The strength of SiCp/Al composites hot-pressed above and extruded below, or hot-pressed below and extruded above the solidus temperature of the matrix is higher than that of composites hot-pressed and extruded above or below the abovementioned temperature, and the strength of SiCp/Al composites hot-pressed above and extruded below the solidus temperature of the matrix is the highest.

以基体合金的固相线温度为基准，高温热压、低温挤压或者低温热压、高温挤压的复合材料的强度优于高温热压挤压或者低温热压挤压的复合材料，并且高温热压、低温挤压的复合材料的力学性能最优。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。