查询词典 infinite matrix

In chapter5, the serial properties of numerical range of operator polynomial are put firstly. Secondly, the relation between numerical range of operator polynomial and n-numerical range are considered. Thirdly, in the light of matrix norm, matrix singular value, the regions and bounds of numerical range and spectrum of operator polynomial are dicussed carefully.

第五章研究了算子多项式数值域的性质、算子多项式数值域与n-次数值域的关系，特别地利用矩阵范数、矩阵的奇异值、非负矩阵的理论、友矩阵为工具，给出了算子多项式数值域及谱的范围全面刻画，并深刻地研究了算子线性束的正则性的等价条件及谱分布。

The property of extended sub-positive definite matrix is studied further by means of the method of matrix analysis to obtain the lower estimated Oppenheim inequality of Hadamard multiplication determinant to two extended sub-positive definite matrices under more general conditions and improve the past in the adaptation range and estimated exactness.

用矩阵分析的方法，通过对广义次正定矩阵性质的进一步研究，得到了更一般条件下的两个广义次正定矩阵的Hadamard乘积的行列式下界估计的Oppenheim不等式，在适用范围和估计精度上都改进了已有的相应结果。

At first, draws the atomic seeps into executing probabilistic matrix and transferring probabilistic matrix. Change LEG for probability logic seeps through picture of probabilistic logical exploitation graph PLEG, then explains the PLEG problem to the solution of MDP value function and optimal policy.

本文提出了一种基于MDP的风险概率计算模型PLEG-MDP，首先通过引入原子渗透执行概率矩阵和转移概率矩阵，将LEG转换为概率逻辑渗透图PLEG，然后将PLEG解释为MDP，进而求解MDP问题的价值函数和最优策略，其分别对应着目标网络的最大风险概率和风险路径。

In this paper, some decision theorems are suggested about the matrix orthogonal problem on the subspace of the finite dimensional Euclidan subspace. In addition, some concise results are obtained by matrix representation of the orthogonal complement and injection of vectors on the subspace.

利用向量组的Gram矩阵和向量的坐标矩阵对有限维欧氏空间中子空间的正交性给出了矩阵判定条件，对子空间的正交补及向量在子空间上的内射影给出了矩阵表示，获得了一些简捷有用的结果。

To create an orthogonal matrix, we need to call D3DXMatrixOrthoLH and this will create a matrix for us.

为了创建一个正交投影矩阵，我们需要调用D3DXMatrixOrthoLH函数，它将为我们创建一个矩阵。

In the paper,we discuss orthogonal matrix deeply,and we get a series of properties of orthogonal matrix.

本文对正交矩阵进行了深入的研究，得到了正交矩阵的一系列性质，同时，本文对照正交矩阵的性质和运用，研究了两类广义正交矩阵的性质及应用。

Matrix is the important in linear alyebra, and orthogonal matrix has a extensive applications in math and other subjects.

矩阵是线性代数中的重要内容，而正交矩阵在数学及其它学科中有着广泛的应用。

At the same time,comparing the properties and applications of orthogonal matrix,we discuss the properties and applications of the generalized orthogonal matrix.

对照实数域上正交矩阵的性质和应用的研究，讨论了复数域上酉矩阵的性质以及应用。

For example, one can use QR decomposition to find the orthogonal matrix B, or use the orthogonal projection matrix of A as B.

例如，人们经常使用的QR分解方法找到正交矩阵B，更直接地，B可以取为矩阵A的正交投影矩阵。

In order to increase efficiency we give vector algorithm which is easy to be comprehended and easy to be extended in the point of matrix according to the character of a set of nosinusoidal family orthogonal matrix in this paper.

为进一步提高效率，本文根据一系列非正弦类正交矩阵的特点，从矩阵角度得到一种极易理解、极易推广的向量算法。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。