不等式

The whole state space is divided into invariant subspace, safe subspace, dangerous subspace and dead subspace according to the constraints and the safe margin of the system, and the state reference trajectory is chosen with respect to the subspace in which the state prediction lies in, in this way GPC is applied under the prerequisite for the viability of the system.

研究了系统在线性不等式约束条件下的预测控制问题，将广义预测控制算法化为对控制量的一步优化，根据约束条件和输出预测在线修改控制量的加权系数，提出了一种变加权系数的改进算法，使系统始终满足给定的约束条件。

The main contents include: Some preliminary theory (introduction to Sobolev spaces and variational formulations for differential equations); finite element methods for one-dimensional elliptic problems; the construction methods for general finite elements; error estimates for interpolation operators and inverse inequalities for finite element spaces; a priori and a posteriori error estimates for the finite element method for high-dimensional elliptic problems; some typical spectral methods for partial differential equations; error analysis for the spectral approximation for some linear and nonlinear partial differential equations.

主要内容有：准备知识（Sobolev空间的基本概念和主要结果，微分方程的变分描述）；一维椭圆型方程有限元方法；一般有限元的构造；插值算子误差估计和逆不等式；高维椭圆型方程的先验、后验误差估计；求解偏微分方程的几类谱方法；线性与非线性问题谱逼近的误差分析等。

Inverse variational inequality, monotone mapping, proximal point algorithm

逆变分不等式，单调映射，临近点算法

By using the matrix positive definite decomposition, matrix singular value decomposition generalized inverse theorem, and solving the linear matrix inequality, an explicit expression of the desired observer is derived in the light of some free parameters.

通过利用矩阵正定分解，矩阵的奇异值分解，解线性矩阵不等式和广义逆定理，根据一些自由参数所希望设计的观测器然后被导出。

As a result, Lochak's argument that Bell's inequality is irrelative to locality is rediscovered.

这样我们就重新发现了洛查克的论据：贝尔不等式与定域性原理无关。

If any part of the cyclic process is irreversible,the inequality applied and the cyclic integral is negative.

a若回圈的任一部份包括不可逆自发的步骤，则回圈的积分为负，且不等式即成立。

Then,by using the algebraic method which was introduced by Yang L.and Zhang J.Z.,and the generalized isometric embedding theory,the generalized concept of metric addition is brought forward,a geometric inequality about the generalized metric addition is given,and the main result of Ya...

然后利用杨路和张景中引进的代数方法，应用广义等距嵌入定理，提出了关于两组两个完全同向的n维单形"广义度量加"的概念，并且证明了涉及"广义度量加"的一个几何不等式，它推广了杨路和张景中关于Alexander猜想的结果。

Euclidean space ; Synclastic simplexes ; Isometric embedding ; Generalized metric addition ; Geometry inequality

欧氏空间；同向单形；等距嵌入；广义度量加；几何不等式

In this paper we obtain Jorgensen s inequality of isometry group M of Pinched manifold X and a geometric characteristic of nonelementary subgroups of M.

本文建立了 Pinched流形 X上等距群 M中的Jorgensen型不等式；证得了M中非初等群的一个几何特征；得到了 M中子群的两个离散准则。

Then I introduce the isoperimetric inequality on minimal surfaces with connect boundary.

LI，R.SCHOEN和S-T YAU的文献[4]中边界连通的极小曲面的等周不等式。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。