范形式

In the second part, we study the problem of output feedback control for a class of discrete-time uncertain systems with Hyperbolic models.

第二部分：研究了一类基于双曲正切模型的不确定参数具有范数有界形式的离散系统的输出反馈的鲁棒镇定问题。

In the case of discrete systems, some simple stability criteria are given in terms of matrix norm and the spectral radius of matrix, which are delay-independent and are therefore valid for any large delay.

对带滞后的线性定常离散广义系统，则通过矩阵的范数与谱半径建立了一些形式简单的稳定性判据，用它们判别系统的稳定性时，不会因滞后的增大而明显地增加计算量。

The original and fuller form of the phrase is slip someone a Mickey Finn and does indeed refer to the action of drugging a drink for some nefarious purpose.

原来是短语形式，充分滑了米奇范确实有人指行动麻醉饮料有些邪恶目的。

The latter have been seeking for an appropriate algorithm for solving an optimization problem expressed in a form of error norm between estimates from a proper forward model of light propagation in tissue and the measurements. Mathematically, this posed an ill-conditioned inverse problem.

间接法的核心是寻找解优化问题的合适的算法，此优化问题表示为正向模型和测量值间的误差范数形式，在数学上这是一个病态的非线性逆问题。

In chapter three, firstly the author analyzes the conditions of norm, which includes being together, common sense and authority; secondly he analyzes the function and form of norm. After that is the relation between intercourse and norm, the trait of modern norm and a series of disorder in modern intercourse that includes science and technology losing the care on man, value points being in crisis and the problem of countries' legitimacy.

第三章首先分析了规范得以产生的三个条件，即共在、共识和权威，并对规范的功能和表现形式进行了阐述，随之论证现代交往中交往与规范的关系和现代规范的特征，认为现代交往中存在着科学技术失去人文关怀、人文价值观失落、国家合法性危机等失范现象。

Through the analytical contrast between Hongfan in Shangshu and Categories in Organon, this article makes a probe into the differences of thinking methods between China and West, especially the regulations of inference and the foundation of Categories.

本文通过对《尚书·洪范》和《工具论·范畴篇》的对比分析，探讨了中西思维形式、尤其是其推衍规则及其范畴基础之间的差异。

Meanwhile, we also provide methods for computing the weighted polar decomposition, and study error bounds for the approximate generalized positive semidefinite polar factor and perturbation bounds for weighted polar decomposition in various norms.

针对这个新的矩阵分解，我们证明了其唯一性定理，给出了其唯一性条件，讨论了其极因子的最佳逼近性质；同时，我们还探讨了矩阵加权极分解的计算问题，研究了由迭代算法引起的极因子的误差界，极因子在各种范数下的各种形式的扰动界等。

By applying these two tools,we mainly discuss the problems as follows:1 Perturbation identities for the generalized polar decomposition:By applying singular value decomposition, we study the perturbation bounds of the generalized polar decomposition under unitary invariant norms when A is perturbed by addition or multiplication,respectively and give our bounds in identities.2 A class of new unitary invariant metrics: This paper generalized a class of new unitarily invariant metrics and give the upper-bounds and lower-bounds by C-S decomposition.

利用这两个强有力的工具，本文主要讨论了如下问题：1 矩阵广义极分解的扰动等式：利用奇异值分解，本文分别讨论了加法扰动和乘法扰动下矩阵广义极分解在任意酉不变范数下的扰动界，并首次以恒等式的形式给出了酉极因子和半正定因子的扰动界。2 一类新的酉不变度量：本文推广了文[22] 中的结论，定义了一类新的酉不变度量。

The second part includes the definition of positive definite function and conditional positive definite function, the basic form of Radial Basis Function interpolation, the correctness of the inversion of the interpolation matrix, the error estimate based on Kringing function.

主要包括径向基函数的相关定义，基本的插值形式，插值矩阵的可逆性，以Kringing范数为基础的径向基函数插值的局部误差估计和径向基函数插值边界附近的情况。

This algorithm is proved to converge to a unique least-squares and minimum-norm solution vector when the control parameters satisfy the given constraint conditions.

然后，提出了将步长、罚因子等过程控制参数统一的迭代－递推形式的辨识算法，证明了算法在给定的控制参数约束下收敛于唯一的最小二乘、最小范数解向量。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。