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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。

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。

Therefore, it is necessary to study these parallel problems. For the linear register systems, this paper presents a (1, N) parallel method with uniform calculating formulas by using the method of matrix equations, and studies to simplify XOR circuits. Comparing with the existing parallel methods for linear shift registers, this method for linear register systems doesn't need to expand the transition matrix, and has the same calculations for arbitrary N, which reduces the complexity.

对一般的线性寄存器系统，本文应用向量矩阵方程的研究方法提出了一种通用的、具有统一计算公式的(1， N)并行方法，研究了其中异或电路的化简，相对于已有的线性移位寄存器的并行方法而言，本文提出的方法不需要扩展矩阵，对任意的N计算公式均是统一的形式，减少了问题复杂性，具有更广泛的应用范围。

In this paper, the virtual relation between partial velocity, the transformation matrix and Jacobian matrix are discussed with mathematical method.

多臂机器人系统的协调任务的数学描述是约束方程，因此，多臂"协调"的力学涵义就是"约束"。

This paper concerns the construction of a low rank matrix with Hankel structure that is nearest to a given matrix.

本文研究一个给定矩阵的低秩Hankel最佳逼近及其加权逼近的问题。

This paper compared several familiar ratio scales of Saaty AHP firstly; and then, common methods for computing priority vector from AHP judgment matrix and fuzzy reciprocal matrix were summarized.

常采用的偏好关系有Saaty的基于"商"的偏好关系以及模糊偏好关系，相应构造的判断矩阵分别为正互反判断矩阵和模糊互补判断矩阵。

If the pertubation factors in judgments are stochastic,it was proved in this paper that the matrix of GMJ will converge in probability at a consistent positive reciprocal matrix whose vector of priorities is just the geometric mean of the vectors of p...

如果判断矩阵的干扰因子是随机的，文章证明了几何平均综合矩阵将依概率收敛于一个一致性的正互反矩阵，其排序向量刚好是各判断矩阵的几何平均综合排序向量。无疑这对于在群组决策时几何平均综合判断矩阵法的使用是重要的。

This paper proposes an approach to group decisionmaking problems with four forms of preference information, such as preference ordering, utility value, fuzzy reciprocal judgement matrix and multiplicative judgement matrix.

针对这类群决策分析，提出了一种具有效用值、序关系值、模糊互补判断矩阵、互反判断矩阵等4种形式偏好信息的群决策方法。

V-I transmission matrix method is presented firstly in this paper to analyze the reflection spectral characteristics of fiber grating F-P cavity and the V-I transmission matrix model is established.

本文首次将V-I传输矩阵法用于光纤光栅F-P腔反射光谱特性的分析，并建立了V-I传输矩阵模型。

In this paper, by projecting the initial residual matrix onto a matrix Krylov subspace, we present a new method -- global generalized minimal error method.

我们考虑将初始残量矩阵总体投影在一个Krylov子空间上，从而得到一种新的方法—总体广义最小误差方法。

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。