It is worth mention that the researches in fuzzy disturbing operator property and the invariance of fuzzy operator for interval variable have laid the basis of applications of indeterminacy mathematics method in Opsearch and Control Theory for economy and management.
值得说明的是作者对模糊扰动算子及其性质的研究和关于区间值模糊算子的不变性研究，为运筹学与控制论中的不确定性数学方法在经济管理中的应用打下了基础。
On one hand, for 2-D frequency estimation, we construct an interesting cost function and present a novel iterative algorithm by use of the biorthogonality of matrices and rotational invariance property. The algorithm obtains one 2-D frequency component at each stage.
对于二维频率估计问题，基于旋转不变性和矩阵伪逆的双正交性，该算法在每一阶段得到一个二维频率分量。
After the analysis of the characteristics of inaccurate state information and its impact on the performance of QoS routing, this dissertation proposes a preliminary criterion in order to achieve the goal of QoS routing: the state parameter space of routing must have a time invariance property during the time interval correlated with traffic end-to-end delay.
因此，论文在分析状态信息不准确性对QoS路由目标实现的影响的基础上，提出了实现QoS路由目标的基本条件，即为了保证QoS路由，必须保证路径的状态参量取值空间在与业务传输时间相关的时间内具有一定的时移不变性。
The invariance property of the Krylov subspace is used to solve the large sparse complex symmetric linear system.
其中，利用Krylov子空间不变性求解离散得到的大型稀疏复对称线性方程组。
In this paper, a new quasi-Newton method (algorithm of pseudo-Newton-R class) is presented for unconstrained optimization, this method possesses the property of finite convergence for quadratic function and scale invariance.
对无约束优化问题提出了一个新的拟Newton法（伪Newton－R族算法），这种方法具有二次终止性及调比不变性。
Experimental results show that this method can get higher recognition rate, with the property of translation and scaling invariance.
实验结果表明，该方法在复杂场景下可以获得较高的识别率，具有平移和尺度不变性等特点。
Based on the invariance of cross-ratio and the collinear property of all points for one dimensional target, a global calibration method of multi-vision sensor system is proposed.
基于交比不变性原理和一维靶标点共线的特点，提出了一种多视觉传感器全局校准方法。
And the invariance property of DEA efficiency (C2GS2) is proved under positive strict isotonic transformation.
证明了DEA有效性（C~2GS~2）在正严格保序变换下的不变性；
Electronic currency, which reflects the monetary nature of the invariance property and the variability of monetary forms, is the product of the combination of technology and monetary nature. It is an important innovation of payment system.
电子货币体现了货币本质属性的不变性与货币形式的可变性，是科技发展和货币本质属性相结合的产物，是支付方式的重要创新。
By exploiting the rotational invariance property of the 2-D data matrix, we establish four matrices which possess diagonal structures. Moreover, we expand the data matrix in temporal domain and derive a set of diagonal structure matrices.
利用二维数据的旋转不变性，构造四个具有对角结构的数据矩阵，在时域进一步扩展，形成一组对角结构的数据矩阵。
CB-spline Curves which have the property of the affine invariance can be used as primitives to reconstruct 3D objects under the assumption of the affine camera model.
在仿射相机模型的假设下，本文提出了基于CB样条曲线的空间物体三维重建，利用CB样条曲线仿射不变性，以CB样条曲线为基元来重建空间物体。
Then, it was proofed that LZ complexity kernel or kernel matrix holds the property of positive definiteness and the invariance of LZ similarity relationship.
证明了LZ复杂性核的正定性和LZ相似关系不变性。
Based on the left-invariance property of the kinematic model of the wheeled mobile robots with respect to the standard group operation of SE (2), smooth exponential stabilizing control laws are proposed for the corresponding error system;
充分利用轮式移动机器人运动学模型对标准SE（2）群运算的左不变性，对相应的误差系统设计出光滑指数镇定控制律，实现运动学子系统的实际镇定；
Middle school students would perceive the global-first topological invariance of the solid figure when they make the projection, and then the local property or components.
中学生在进行几何体射影时首先要把握几何体的大范围拓扑性质，然后才是物体的局部性质或组成部分。