在第二章中，作者以谱分解、函数演算等为工具，给出一些重要的算子不等式与范数不等式。
In this chapter, we give some operator inequalities and norm inequalities by means of spectral decomposition and functional calculus.
根据连续函数空间范数的定义，提出了电力系统运行状态与故障后稳定平衡状态之间距离的概念。
Based on the definition of norms in continuous function Spaces, a concept of distance between the operation state and the post-fault stable equilibrium state is suggested.
大多数现有的鲁棒故障诊断系统集成设计方法都采用基于2范数的残差评价函数。
In most of the existing integrated FD system design approaches, the 2 norm of residual signal is widely adopted as the residual evaluation function.
本文构造加权向量1 -范数型李雅普·诺夫函数。
Lyapunov's function with weighted vector 1-norm form is constructed.
运用核函数将原始数据映射到核空间中得到核矩阵，再利用L1范数使距离函数达到最小。
It maps original data to kernel space to get a kernel matrix, and utilizes kernel function and L1 norm to minimize the distance function.
因此，定义了一种变系数加权的误差函数，以控制梯度范数的大小。
Hence, an error function with variable weighted coefficient is defined to control value of gradient norm.
该模型求解时，首先通过引入代理函数将原问题解耦为残差的加权范数最小化和加权范数TV去噪这两个子问题；
Using surrogate function, we split the sum minimization scheme to the minimizing weighted least square function and TV denoising with weighted norm iteratively.
该模型求解时，首先通过引入代理函数将原问题解耦为残差的加权范数最小化和加权范数TV去噪这两个子问题；
Using surrogate function, we split the sum minimization scheme to the minimizing weighted least square function and TV denoising with weighted norm iteratively.
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