查询词典 The Matrix

The way of solving matrix equation directly with primary transformation method is discussed with the premise of the matrix of coefficients being reversible, which makes the solving procedures more simple.

讨论了在系数矩阵可逆的前提下，如何用初等变换的方法直接求解矩阵方程，使求解过程更简化，同时给出一般线性方程组的初等变换直观解

In order to find a powerful assistant computation tool for further analysis and design of multilayer optical coatings,an analytical model is mathematically established for accurate calculation of the first and second derivatives of the spectral coefficients of multilayer optical coatings with respect to layer parameters like thickness,real refractive index and extinction coefficient. It is based on the matrix theory of calculating the spectral coefficients of multilayer optical coatings and is achieved by perfectly using the trace operation of matrix.

为了寻找一种膜系深入分析与设计的有力辅助计算工具，从光学薄膜光谱系数的矩阵计算理论出发，基于对矩阵求迹运算的巧妙运用，从数学上建立了准确计算膜系光谱系数关于膜层几何厚度、实际折射率和消光系数等膜层参数的一阶和二阶偏导数的解析模型。

Then the matrix of all demand coefficients , that is the extended Leontief converse matrix, is introduced under the condition of including coal resources department and pollution department and the general model of demand prediction of coal resources was concluded.

结合陕西省软科学研究课题"陕西省煤炭资源的可持续发展研究"，作者以2001年数据资料为依据，编制出陕西省2001年煤炭资源投入产出表，建立陕西省2001年煤炭资源投入产出数学模型。

The major foundation is that the rank of the matrix should be kept alike after making primary transformation of the matrix consists of transformation of lines and transfortmation of rows,here are mainly the instances of the transformation of lines.

主要依据是矩阵的初等变换在变换前后保持矩阵的秩不变，矩阵的初等变换包括行初等变换和列初等变换。这里主要以行初等变换为例。

According to the definition of matrix power series and the convergence property of the power series, using the type compare method, the thesis got and verified part convergence properties of the matrix power series.

摘要根据矩阵幂级数的定义和数学分析中幂级数的收敛性质，运用类比的推理法，得到并验证了矩阵幂级数的部分相应的收敛性质。

This direction of research associates the graph in graph theory with the matrix in algebra by the matrix representation of a graph, then studies the algebraic property of graphs with the methods in graph theory and algebra.

该研究方向是通过图的矩阵表示将图论中的图与代数中的矩阵联系起来，再利用图论和代数方面的一些方法来研究图的代数性质。

Next is " Matrix and Monadology ", an essay from the Johns Hopkins philosopher Sean Greenberg that compares the metaphysical implications of the Matrix with the bizarre metaphysics of the 17th century philosopher Gottfried Leibniz.

约翰·霍普金斯大学的哲学家Sean Greenberg的文章《矩阵和单子论》比较了《黑客帝国》的形而上学与17世纪哲学家莱布尼兹的形而上学。

They are presented in need of special curves and surfaces in engineering applications. In order to prove that the uniform C-B-spline basis is normalized totally positive, we compute the matrix which transforms the C-Bézier basis into the uniform C-B-spline and decompose this matrix into a product of. bidiagonal and stochastic factors.

本文用递推的方法，计算出代数三角空间中的n次C-Bézier基与n次均匀C-B-spline基之间的转换矩阵，并把该矩阵分解为一系列二对角阵的乘积，从而证明出n次均匀C-B-spline基是一个标准全正基，进一步用插入节点的方法，把它扩充为一组标准B基，从而我们可以利用B基的很多优良性质，在工程应用中对这两组基进行开发利用。

They are presented in need of special curves and surfaces in engineering applications. In order to prove that the uniform C-B-spline basis is normalized totally positive, we compute the matrix which transforms the C-Bézier basis into the uniform C-B-spline and decompose this matrix into a product of. bidiagonal and stochastic factors. Furthermore, we give a normalized B-basis by inserting knots.

本文用递推的方法，计算出代数三角空间中的n次C-Bézier基与n次均匀C-B-spline基之间的转换矩阵，并把该矩阵分解为一系列二对角阵的乘积，从而证明出n次均匀C-B-spline基是一个标准全正基，进一步用插入节点的方法，把它扩充为一组标准B基，从而我们可以利用B基的很多优良性质，在工程应用中对这两组基进行开发利用。

For the characteristic of the ring permanent magnet torque motor used in direct drive numerical control round table suffering from the effect of load disturbances and parameters variations, a multi-objective mixed H2/H∞ static output feedback controller, which makes all poles of the closed-loop system be located within a prescribed linear matrix inequality region D to achieve pole placement, is designed based on LMI.

针对直接驱动数控转台用环形永磁力矩电机易受负载扰动及自身参数变化影响的特点，文中基于线性矩阵不等式(linear matrix inequality， LMI)，设计了一个多目标混合H2/H￥静态输出反馈控制器，该控制器可使闭环系统的极点均落在预先选定的线性矩阵不等式区域D内来实现极点配置。

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。