查询词典 matrices

Based on special construction of the design matrix, some interesting relations of variance matrices of the least squares estimate, the best linear unbiased estimate and the TSE are established, and some important properties of the TSE are obtained.

利用模型设计阵的特殊结构，建立了最小二乘估计、最佳线性无偏估计和两步估计的协方差阵的很有用的分解式。

This paper analyses output SINR form of unitary precoding matrix, and presents a more simple method of calculation for SINR, so that operation complexity can drop to 18% with 4 matrices (i.e. 8 vectors) MIMO precoding system.

本文分析了酉阵预编码的输出SINR的形式，提出了一种简化计算输出SINR计算的方法，计算4个矩阵（8个矢量）的输出SINR操作复杂度下降到原始方法的18%。

A new method that introduces the new free-weighting matrices is proposed to estimate the upper bound of the derivative of the Lyapunov function by considering the additional useful terms which are ignored in previous methods.

新方法考虑一些以前方法中通常忽略的有用的项，引入一些自由权重矩阵，估计Lyapunov泛函导数的上界；再用凸优化算法，进一步给出状态反馈控制器的设计方法。

Basic linear algebra in MATLAB . Vector and matrix addition and multiplication. Solving sets of linear equations using matrices.

使用MATLAB软件中的基础线性代数、向量和阵列的加法与乘法，以及使用阵列解决多组线性方程式。

Based on the Hamiltonian of the interaction system, which includes the interaction between two two-level atoms and a single mode vacuum field, the state vector and the density matrix of the system, and the reduced-density matrices of the subsystems are obtained by solving its Schrodinger equation, and the basic model of this problem is established.

从两个二能级原子与单模真空场相互作用系统的哈密顿量出发，通过解Schrodinger方程，得到了系统的态矢、密度矩阵和子系统的约化密度矩阵，建立了本文的工作模型。第二章介绍了量子熵与量子纠缠的发展史，解释了量子熵与量子纠缠的关系，阐述了量子熵与量子纠缠的基本理论。第三章研究了两个二能级原子与单模真空场相互作用系统中的量子纠缠。

In addition, since the cloth simulation algorithm requires complex mathematics and processes large matrices of data, we were able to leverage the vector support of the Cell processor and achieve even greater performance by vectorizing the code that performs arithmetic functions on the mesh data structures.

因为，布料模拟数据量巨大，我们设法提高了对cell的向量支持能力，并且通过向量化负责演算网格数据结构的函数代码来获得性能得巨大提升。

And Y are vectors of the same size or matrices of the same size.

和Y是向量的大小相同或矩阵的大小相同。

Several calculation formulations have been established, which possess the advantages of that ①any of the final formulations is a linear algebraical equation system with respect to parameters of nodal displacement and velocity;②much higher accuracy can be obtained than the direct integration methods of dynamic analysis;③arbitrary number of time elements can be chosen when the space—time model is applied; and ④calculating procedures are quite simple since several time—coefficient matrices are introduced to the formulations.

当采用时间—空间有限元模型时，对时间单元的数目没有任何限制；(4)由于引入了时间系数矩阵，使计算过程大大简化，并且可引用已有的各种单元分析成果，具有很强的通用性。

The result indicated that the AlTiN multilayer coating deposited on high speed steel substrates with alternated nitrogen contents in layers. In each layer, AlTiN exhibited nanocomposites of nanocrystallites embedded into amorphous matrices despite of the nitrogen content. The difference between bilayers was that AlTiN layer with lower nitrogen content had a lower density of nanocrystallites. The AlCN coating deposited on Si (100) substrate appeared a strained layer on substrate in the ilm-substrate interface, which thickness was 3～5 atom layer.

结果表明：在高速钢基体上制备的AlTiN多层薄膜由两种氮含量交替变化的膜层构成，尽管交替的两层中氮含量不同，但每一单层都为纳米晶包含在非晶点阵中的纳米复合结构，不同之处是低氮含量层中纳米晶密度较小；生长在单晶硅基体(100)晶面上的非晶AlCN薄膜，在膜基界面处硅基体上出现应力畸变层，应力畸变层厚度很薄，约3～5个原子层。

Experimental conditions that a great deal of copper matrices were separated as well as trace Se and Te were concentrated in ammoniacal solutions by co-precipitation separation were studied.

研究了采用共沉淀分离手段在氨性条件下分离大量铜基体并富集痕量硒、碲杂质的实验条件。

Looking to bounce back from defeat against Cesena last weekend, the Calabrian boss will be sticking to his tried and tested 4-3-3, with Lopez and Sedivic joined up front in Giampaolo's absence by either Nanni or Plasmati.

鉴于上周末对切塞纳的比赛中反败为胜，这支南方球队将会更坚持其一贯而有效的4-3-3阵型，洛佩斯和塞德维奇将取代受伤缺席的詹保罗，和纳尼或者帕斯马蒂中的一个搭档锋线。

Meanwhile, their exposure to the more freewheeling ways of the West broadened dramatically.

另外，西方较自由的生活方式对年轻人的影响增大。