查询词典 functional matrix

Based on definition of orthogonal counterbalance, authors definite the unitary counterbalance of matrix and prove the unitary counterbalance properties of unitary symmetric matrix and it s mother matrix, obtain some results as the Moore-Penrose inverses of unitary symmetric matrices are unitary counterbalance if unitary symmetric matrices are unitary counterbalance .

从矩阵正交相抵的概念出发，给出了矩阵酉相抵的概念，证明了酉对称矩阵与母矩阵之间的酉相抵性，得到了酉相抵矩阵的Moore Penrose逆等一些新的结论。

The algorithm transforms the complex covariance matrix into a real matrix using an unitary transformation and then the real matrix is inversed and eigen-decomposed for adaptive beamforming so it has a low computation complexity in comparison with the ESB adaptive beamforming algorithm.

该算法利用酉变换将复协方差矩阵转换为实矩阵，然后对其求逆和特征分解进行自适应波束形成，因此其运算量比ESB自适应波束形成算法小得多。

The HIP algorithm transforms the channel matrix column orthogonally based on Householder transform to avoid the operation of upper triangular matrix and sort the channel matrix only once.

该算法对信道矩阵按列进行Householder正交变换，避免了求上三角矩阵的运算并且仅对信道矩阵进行1次排序。

The astringency, error and stability of the numerical method are researched. Zero matrix method, constant matrix method, and Jacobian matrix method are constructed in order to improve numerical precision and efficiency.

研究了所提数值计算方法的误差、稳定性、收敛性等数学性质，在计算精度和计算效率两方面提出了一些改进措施，构造了零矩阵法、常数矩阵法、雅可比矩阵法等计算格式。

AVI may be protein matrix and it possesses neither a membrane boundary nor an internal structure,its formation is the result of the anthocyanins transported into the vacuole bind with a protein matrix. In vacuole, AVI is irregular and jelly-like in shape. In AVIs, the attachment of anthocyanins to the matrix protein is likely to be via H-bonds to a sterically restricted site. AVI is suggested to act as vacuolar anthocyanin "trap", preferentially for anthocyanidin 3, 5-diglycosides or acylted anthocyanins. The emergence of AVI can enhance color intensity and results in the "blueness" of color in the vacuole.

花色苷液泡包涵体可能具备蛋白质基质，既无膜包裹又无内部结构，其形成是转运进液泡的花色苷与蛋白质基质结合的结果；液泡里的花色苷液泡包涵体形状不规则，象果冻；在花色苷液泡包涵体中，花色苷可能通过氢键连接于蛋白质基质的一个有限空间位点；花色苷液泡包涵体被认为是液泡中花色苷的&陷阱&，优先摄取花色素3，5-二糖苷或酰化的花色苷；花色苷液泡包涵体的存在可增加液泡色彩的强度并导致&蓝化&。

In this paper, we first introduce the concepts and structures of generalized per-symmetric matrix, generalized centro-symmetric matrix or generalized bisymmetric matrix.

本文介绍了广义广对称矩阵、广义中心对称矩阵以及广义双对称矩阵的概念及结构，研究了这些特殊矩阵集合中，矩阵方程AXB=C及矩阵方程组A_1XB_1=C_1，A_2XB_2=C_2的迭代解法，同时考虑了相应的最佳逼近问题。

For any initial generalized bisymmetric matrix $X_1$, when $AXB=C$ is consistent, we can obtain the generalized bisymmetric solution of the matrix equation AXB=C within finite iterative steps by the iteration method in the absence of roundoff errors; Moreover, the least-norm solution $X^*$ can be obtained by choosing a special kind of initial generalized bisymmetric matrix.

在不考虑机器误差的情况下，当矩阵方程AXB=C相容时，对任意广义双对称X_1，矩阵方程AXB=C的解可以经过有限步迭代得到；特别地，通过选择特殊地初始广义双对称矩阵极小范数解X^*。

This thesis focuses on studying the matrix equa-tion problem systematically, and proposed an abstract algorithm of solving the matrixequation with constraints, and established a strict convergence theory. Using this algo-rithm, we can solve the sets of matrix equation satisfying some constraint conditions,such as symmetric, antisymmetric, centrosymmetric, centroskew symmetric, re?exive,antire?exive, bisymmetric, symmetric and antipersymmetric, symmetric orthogonalsymmetric, symmetric orthogonal antisymmetric, Hermite generalized Hamilton ma-trix;So we can solve the problem with this algorithm, if the set of constrain matrixcan make a subspace in matrix space, and this algorithm also can solve the optimalapproximation and least squares problem. So this abstract algorithm has universal andimportant practical value.

本篇硕士论文系统地研究了此类问题，并找到了求解约束矩阵问题的抽象算法，并建立严格的收敛性理论，利用这一算法可求解约束条件为对称矩阵、反对称矩阵、中心对称矩阵、中心反对称矩阵、自反矩阵、反自反矩阵，对称正交对称矩阵、对称正交反对称矩阵、双中心矩阵、Hermite广义Hamilton矩阵等；可以说只要约束矩阵集合在矩阵空间中构成子空间，都可以考虑用此算法求解，而且这一算法还能把矩阵方程解及其最佳逼近，最小二乘解及其最佳逼近统一处理，因此本文算法有普适性和重要的实用价值。

Discussed element of the matrix in alloy of nickel radical high temperature through the experiment, advocate quantity element if the chromium, cobalt, tungsten, molybdenum, Tantalum, niobium, rhenium spectrum to spectral line of boracic ultimate analysis violates a condition, use matrix to match a law to undertake to matrix interference corrective, fixed appropriate analytic spectral line.

通过试验探索了镍基高温合金中基体元素，主量元素如铬、钴、钨、钼、钽、铌、铼等对硼元素分析谱线的光谱干扰情况，采用基体匹配法对基体干扰进行校正，确定了合适的分析谱线。

In this paper, an iterative algorithm is proposed to find the generalized centrosymmetric solution pair of matrix equation AXA~T+BYB~T=C. The solvability of the matrix equation can be determined automatically in the iterative process. When the matrix equation is consistent, the solution pair can be obtained within finite steps in the absence of round-off errors.

该论文运用迭代方法研究了矩阵方程的一般中心对称解解，特别地，当矩阵方程是相容的时，经过有限步就能求出该方程的一般中心对称解解，然后以此为主要依据进一步研究了矩阵方程的最优近似解，最后举例验证了该论文的主要结论。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。