不等式

The compact minimal submanifold of a Locally symmetric and conformally flat Riemannian manifold are studied, and obtain the following intrinsic rigidity theorem.

研究了局部对称共形平坦黎曼流形的紧致极小子流形，即设M是局部对称共形平坦黎曼流形的n维紧致极小子流形，得到了这种子流形的若干内蕴刚性积分不等式，给出了流形全测地的限制条

In our problem,the major term in the variational inequality isp-Laplacian.

在我们所考虑的问题中，变分不等式的主部是p-Laplace算子。

In this paper we will mainly study the gauge fixing Yang-Mills heat flow of a principal bundle For a principle bundle with a compact seme-simple Lie group as its structure group over a compact Riemannian manifold without boundary, the evolutions of the curvature and its higher derivatives under the flow above will be derived, and the energy inequality and the Bochner type estimates will be obtained.

中文摘要：本论文主要讨论主丛上的规范固定Yang-Mills热流我们在紧致无边黎曼流形上的以半单紧致李群为结构群的主丛上，推导了在规范固定Yang-Mills热流下曲率及其高阶导数的演化方程，得到了该热流的能量不等式和Bochner估计，由此可推出单调性公式和小作用量正则性，以及曲率各阶导数的局部一致估计。

In this paper we will mainly study the gauge fixing Yang-Mills heat flow of a principal bundleFor a principle bundle with a compact seme-simple Lie group as its structure group over a compact Riemannian manifold without boundary, the evolutions of the curvature and its higher derivatives under the flow above will be derived, and the energy inequality and the Bochner type estimates will be obtained. Then, the monotonicity formula and the small action regularity theorem can be proved. We will give the locally uniform estimates for the higher derivatives of the curvature.

本论文主要讨论主丛上的规范固定Yang-Mills热流我们在紧致无边黎曼流形上的以半单紧致李群为结构群的主丛上，推导了在规范固定Yang-Mills热流下曲率及其高阶导数的演化方程，得到了该热流的能量不等式和Bochner估计，由此可推出单调性公式和小作用量正则性，以及曲率各阶导数的局部一致估计。

Vector variational inequalities,open mapping theorem and conjugate formulae play important roles in analysis.

向量变分不等式，开映射定理和共轭公式在分析学中都占有重要的地位，本文对这三类问题进行了研究。

Using this inequality one can prove that the mean convergence of positive martingale implies its point wise convergence.

在这一极大不等式的基础上可以证明正值鞅的均收敛蕴涵了它的点收敛。

By using block matrix sequence , the equation expression of matrix sum and matrix product sequence is given.

利用分块矩阵的秩给出了矩阵的和与乘积秩的等式表示，作为结论应用，给出了矩阵的和与乘积等运算秩的有关不等式。

Furthermore, the existence condition of delay-dependence for the robust H(subscript ∞) filter is also established, and the admissible filter can be found by solving a group of linear matrix inequalities.

推导了系统鲁棒H滤波器存在的充分条件，并将滤波器的设计转化为一组线性矩阵不等式的求解。

About Generalized Kantorovich Inequality ,selecting proper norm of matrix formulation and its upper limit applies to estimating parameter of relative efficiency of linear model.

对于广义 Kantorovich不等式，选用适当的矩阵度量并给出相应的界，可以应用在线性模型的参数估计的相对效率问题上。

Applying Lyapunov function method and the property of the matrix measure and the matrix norm, some new sufficient conditions for asymptotic stable independent of delay of the linear systems with multiple time delay are presented.

综合利用Lyapunov 函数方法，结合矩阵测度和矩阵范数的性质，通过加强不等式，给出线性多时滞系统时滞无关渐近稳定的新的充分条件。

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％。