查询词典 mapping norm

The second chapter discussed the definition and nature of dashes inverse A in generalized inverse as well as its application in compatible linear equations. The third chapter discussed the definition and calculation of the minimum norm inverse A in generalized inverse, as well as the Minimal Norm Solution of its compatible linear equations Ax = b.

前言从引进广义逆矩阵的定义着手，介绍了它的历史概况以及发展的背景及其意义；第1章从广义逆的发展历程讨论由Moore-Penrose方程确定的各种广义逆的定义；第2章讨论广义逆中的减号逆A 的定义及性质以及在相容线性方程组的应用；第3章讨论广义逆中的最小范数逆A 的定义及计算以及它与相容线性方程组Ax=b的极小范数解。

The preface gave the definition and introduced history, background of development and significance of generalized inverse matrix. The first chapter, from the development process of generalized inverse, discussed all kinds of definition of generalized inverse determined by the Moore - Penrose equations. The second chapter discussed the definition and nature of dashes inverse A in generalized inverse as well as its application in compatible linear equations. The third chapter discussed the definition and calculation of the minimum norm inverse A in generalized inverse, as well as the Minimal Norm Solution of its compatible linear equations Ax = b.

前言从引进广义逆矩阵的定义着手，介绍了它的历史概况以及发展的背景及其意义；第一章从广义逆的发展历程讨论由Moore-Penrose方程确定的各种广义逆的定义；第二章讨论广义逆中的减号逆A 的定义及性质以及在相容线性方程组的应用；第三章讨论广义逆中的最小范数逆A 的定义及计算以及它与相容线性方程组Ax=b的极小范数解。

In the relation of person and person, material and norm form the medium of social contact; and in which, the relation of person and person with material as medium, becomes the economic content or the embodiment of"advantage"in social contact; and the relation of person and person with norm as medium, becomes the ethics intension or the requirement of"justice"in exchange.

在人与人的关系中，物质与规范构成交往的中介；其中，以物质为中介的人与人之间的关系成为交往中的经济内容或"利"的体现；以规范为中介的人与人之间的关系成为交换中的伦理内涵或"义"的要求。

Form these relations and the norm form for affine nonlinear systems, it gained the weak regular norm form for general nonlinear systems, which can simplify some problems such as output track.

通过这些联系，并利用仿射非线性系统的已有结果得到了一般非线性系统的弱正则标准形，从而简化对输出跟踪等一些问题的处理。

The double talk detector computes a squared norm of the filter weight vector and detects an increase of the squared norm in order to detect double-talk status.

其中一双方交谈侦测装置会计算滤波器权值向量所对应的方均值差量，并利用于侦测一双方交谈状态。

Methods Get the norm of solution vector to the equivalent integral equation using numerical calculation in every sampling point at imaging region,and represent the norm with gray to reconstruct the scattering shape.

方法通过数值计算，求解等效积分方程，获取解向量在成像区域内每一采样点的范数，利用灰度表示其范数，重构散射体形状。

The energy calculation of the noncoherent despreading/demodulation signal was extended into vector norm calculation based on the equivalence property theory of vector norm in the orthogonal codes spread spectrum system.

依据向量范数等价性原理，将正交码扩频系统中非相干解扩解调信号的能量计算推广为向量范数的计算。

In the proposed algorithm, firstly the Hadamard transform was applied to all the codewords in the codebook and the input vector. Then the initial match codeword was selected from the codeword whose norm was nearest to the norm of input vector on Hadamard transform. Furthermore, the triangle inequalities with multiple control vectors and the two elimination criteria were utilized to reject mismatch codewords. Finally, the best-match codeword to the input vector was found.

该算法首先计算出每个码字和输入矢量的哈德码变换，然后为输入矢量选取范数距离最近的初始匹配码字，利用多控制点的三角不等式和两条有效的码字排除准则，把不匹配的码字排除，最后选取与输入矢量最匹配的码字。

The existence of global weak solution for a class of generalized Ginzburg-Landau equations with an inhomogeneous boundary condition was studied. Some integral indentities of smooth solution of inhomogeneous initial boundary value problem of Ginzburg-Landau equations were deduced, by which a priori estimates of the square norm on boundary of normal derivative and the square norm of partial derivatives were obtained.

研究具非线性边界条件的一类广义Ginzburg＿Landau方程解的整体存在性·推导了Ginzburg＿Landau方程的非齐次初边值问题光滑解的几个积分恒等式，由此得到了解的法向导数在边界上的平方模以及解的平方模和导数的平方模估计；通过逼近技巧、先验估计和取极限方法证明了Ginzburg＿Landau方程的非齐次初边值问题整体弱解的存在性

In Chapter four, the stability problem of the nonlinear open-loop control system is discussed by the concept of input-output stability. The L〓 stability is defined, the relationship between the L〓 norm of output variable and the input variable is proven firstly, and the sufficient condition for the stability of open-loop system , the H〓 norm of the n-th order frequency response function decreasing by n!

本章给出了非线性控制系统L〓稳定性的定义，首次严格证明了输出变量的L〓范数与输入变量的L〓范数之间的一个重要的关系式，并得到了一个开环系统L〓稳定性的充分条件，即n阶广义频率响应函数的范数〓应按n！

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。