查询词典 coefficient matrix

This is the so-called Duerlite algorithms: from the bottom row of the matrix A do elementary transformation, the diagonal elements into the bottom left of zero, and then show the effect of these lines is equivalent to transform the left by a unit lower triangular matrix, this series of unit lower triangular matrix inverse is the product of L matrices, it is also a unit lower triangular matrix.

这正是所谓的杜尔里特算法：从下至上地对矩阵A做初等行变换，将对角线左下方的元素变成零，然后再证明这些行变换的效果等同于左乘一系列单位下三角矩阵，这一系列单位下三角矩阵的乘积的逆就是L矩阵，它也是一个单位下三角矩阵。

Among thses matrices, bidiagonal matrix and approximately lower triangular array matrix have determinate construction and can provide linear encoding algorithm, and both subscript matrices, masking matrix and permutation matrix need to be redesigned.

其中双对角线矩阵和近似下三角阵列矩阵是确定结构的，具有高速线性编码的功能；而两种下标矩阵、模板矩阵和置换矩阵均具有类随机结构特征，可以根据需要进行再设计。

For this purpose,by using the geometry mean method that the product of corresponding factors from the different judgement matrix,for the different judgement matrix built by each expert in the group decision-making,the mean judgement matrix,or the judgement matrix of group decision-making,...

并利用严密的数学方法证明了"所构造的矩阵能保持一致性和满意性"的重要结论。该方法运算简单，不仅为AHP群决策判断矩阵的建立提供了一种有效的方法，而且为群决策的研究提供了一定的理论依据。

Then, we set up the double-row monodromy matrix of the Hamiltonian, the transfer matrix and the reflection equation of the system with the help of the scattering matrix and the reflecting matrix.

接着借助量子反散射方法，运用两体散射矩阵和反射矩阵，构造了双行monodromy矩阵、转移矩阵和系统的边界反射方程，从而详细证明了系统的精确可解性。

However, the properties of nilpotent matrix have not been much explored although its definition is given in discussing the multiplication of matrix, As special forms of matrixes, nilpotent matrix plays a key role not only in the theory of matrix but also in actual application.

幂零矩阵作为特殊矩阵无论在矩阵理论方面，还是在实际应用方面都有重要的意义。

The analysis of the optical signal transmission characteristics and the physical parameters provides the theoretical foundation for optimizing the design and improving the performance of AWG; and the optimizing design numerical value calculation method solves the complex problem of the optimizing design of the AWG, it can also provide a way for AWG computer aided design system; the AWG optical signal processing analysis provide a way for optical signal Fourier transform, serial and parallel transmission, circle shift, matrix transform and differential processing; the optical signal processing characteristics of AWG develop AWG to use for new field, and the optical signal processing will play an important role on all-optical networks in the future; by the definition of the wavelength transform matrix of the AWG, the signal output positions that come from these input signals of the different wavelength or the same wavelength but the different input ports and carrying different signals can be accurately determined, and the wavelength transmission matrix plays an important role for analyzing the routing of the complex optical network, or designing the network nodes such as the optical path add/drop multiplexer and optical cross connect device; the wavelength transmission matrix also provides a method for monitoring and managing the wavelength transmission of the optical network nodes; e analysis of the AWG' OXC node structure and wavelength routing provides a way for realizing the OXC, especially for multi-path/multi-wavelength OXC and the intelligence node of the optical networks; by the studying of the control plain characteristics, router, traffic engineering, program and the improved arithmetic of the wavelength routing, the method for realizing the GMPLS' OXC optical transport network is provided, and it play an important role for the study of the automatic switched optical network; the time-frequency analysis can provide more information about the dispersion and energy changes of .the pulsed light transmission in the singlemode fiber, it also provides more useful parameters for analyzing the dispersive accumulating and dispersive compensating.

AWG光信号传输特性与相关参数的分析，为进一步优化设计AWG及提高其性能提供了理论依据，而优化设计计算数值方法解决了AWG优化设计计算的复杂问题，为进一步建立AWG的计算机设计系统提供了基础；AWG光信号处理的特性分析，提出了AWG应用的新领域，为光信号的傅立叶变换、串并传输、循环移位、矩阵变换、微分处理等提供了一条途径；波长传输矩阵变换关系的建立，不仅得到了确定多路AWG每路信号从输入端口到输出端口的准确输出位置的方法，而且在分析应用AWG实现复杂的光通信网络路由的连接、特别在设计分插复用器和交叉连接器等网络节点时有重要的作用，能有效而准确地确定波长的路由关系，为实现节点波长传输路由的监控和管理提供有效手段；基于AWG的OXC结构和波长路由的确定为实现OXC技术、特别是多路多波长的OXC和光网络的智能节点技术提供了有效的方法；控制平面的特征、路由器、流量工程、程序及改进的波长路由算法的研究实现了基于GMPLS的OXC光传送网络的控制平面，为建立自动交换光网路提供了一定的基础；时频分析可以更直观和更清晰地描述脉冲信号在单模光纤中传输色散和能量的变化，为色散积累和色散补偿提供有效的分析参数。

This paper discusses the ways in the problem of generalized characteristics in vibration to convert rigidity matrix or quality matrix into positive definite matrix when they are positive semi-definite matrix.

讨论振动中的广义特征问题的刚度矩阵或质量矩阵为半正定阵时如何使其转化为正定矩阵。

This paper introduces the transformation formulas of reciprocal judgement matrix and complementary judgement matrix, and presents the relationship between the perfectly consistent reciprocal judgement matrix and perfectly consistent complementary judgement matrix.

引进了互反判断矩阵与互补判断矩阵之间的转换公式，介绍了完全一致性互反判断矩阵和完全一致性互补判断矩阵之间的关系。提出了 3种基于互反判断矩阵的互补判断矩阵排序方法，详细地研究了它们的一些优良性质，如：强条件下保序性等，并进一步把这些方法推广到群体决策环境中。

The results show that the microstructures of these three kinds of coating are different from those of the matrix (20 steel). The wear resistance of the flame spray coating is 4. 9 times that of the matrix. This is caused by the existance of hard noncrystal microparticals. The wear resistance of the coating by flame spray welding is 6. 3 times that of the matrix. The reason is that the fine crystal grains can be formed and the solution strengthening, dispersion hardening can be induced by these alloy elements. The resistance of the laser remelt coating is 8. 8 times that of the matrix. This is due to the solution strengthening, dispersion hardening and the existence of very hard dendritic crystal, eutectic and martensite in the microstructure.

作者指出，喷涂层由于层内有一定数量高硬度的合金非晶质点存在，其耐磨性是钢基体的4.9倍；喷熔层内合金晶化产生的晶粒细小，合金元素能起固溶强化作用，也能生成化合物产生弥散硬化作用，故此耐磨性是钢基体的6.3倍；激光涂敷层除所含合金元素产生的固溶强化和弥散硬化作用外，表层组织为高硬度的枝晶+共晶和马氏体，故其耐磨性是钢基体的8.8倍。

Firstly, the damaged structure was measured to obtain the residual force vector matrix. Then the matrix was compared with the one of undamaged structure to get the difference matrix. The biggest absolute value in each row of the difference matrix formed the improved residual force vector.

该方法首先通过测试损伤结构多阶模态得到残余力向量，并计算相对于损伤前结构的残余力向量得到残余力向量差矩阵，选取向量差矩阵各行元素中最大绝对值组成改进的残余力向量。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。