不等式

In ChapterⅢ,we plan to break through the usual 〓-framework of quantummechanics and attempt to study Heisenberg's inequality in Sobolev space,becausemany important wave functions are beyond the older framework.

由于很多重要的波函数不在〓或〓内，第二章突破通常的框架而尝试着研究Sobolev空间中的Heisenberg不等式。

In Chapter two, it is given of the three-dimensional boundary element and the boundary element space, Sobolev space for the contact boundary element problem with friction; it is proved of existence and uniqueness of the solution by variation inequality for the contact Boundary Element Method matrix equation under two kinds of condition that the contact zone is fixed and the contact zone is increasing along with the load; it is given of the expressionfor the error of the exact solution and the boundary element solution.

第2章，给出三维边界单元及边界元空间、有摩擦接触边界元问题的Sobolev空间，利用变分不等式证明了不变接触区和随载荷可变接触区两种情况下的接触边界元法矩阵方程解的存在唯一性，给出了准确解与边界元解的误差表达式，还证明了三维弹塑性摩擦接触问题凝缩矩阵解的存在唯一性，为三维弹塑性摩擦接触边界元法奠定数学基础。

In terms of linear matrix inequalities, a sufficient condition for the solvability of the problem is given.

运用线性矩阵不等式，设计了状态反馈控制器，使得闭环系统对于允许的不确定性，总是渐近稳定的。

In the field of energy planning, we are always required to solve a kind of linear-inequalities problems with large-scale and sparse coefficient matrix.

自二十世纪五十年代的运筹学以及管理科学的兴起和发展以来，解决线性不等式组的方法层出不穷。

Finally, for the spectral radius of a graph with a cut vertex, we give an inequality concerning the spectral radius of the graph and its subgraphs.

最后，对于有割点的图的谱半径给出一个与子图的谱半径有关的一个不等式。

The proposed stability criterion can be checked by the LMI Control Toolbox in Matlab.

所给的准则可用Matlab中的线性矩阵不等式控制工具箱进行验证。

According to Shilnikov Theorem, on the condition that satisfies the basic characteristics of heteroclinic orbit, Shilnikov inequality and the eigenvalue equation, by finding a heteroclinic orbit consist of three geometric invariant sets, namely unstable manifold, heteroclinic point, and stable manifold, a set of real parameters accordance with the condition of existing heteroclnic orbit is obtained in this chaotic system.

根据Shilnikov定理，在满足异宿轨道基本特性、Shilnikov不等式和特征方程条件下，通过寻找该系统中一条由不稳定流形、异宿点和稳定流形三个几何不变集构成的异宿轨道，在分段Sprott系统中导出了存在异宿轨道时该系统中各个参数应符合的条件，并找到了一组对应的实参数，由此证明了异宿轨道的存在性。

Geometry quality for these mappings can be obtained from these inqualities,and some sufficiency conditions for starlike mappings and spirallike mappings are given.

本文建立了多复变数单位球上全纯映照的一些偏微分不等式，由此可映照本身的一些几何性质，并得到星形映照和螺形映照的充分判别条件。

In chapter 3, we establish some partial differential inequalities on bounded starlike circlar domains and the unit ball of Banach norm in C〓. Then by using these inequalities, we can get two sufficient conditions for almost starlike mappings of order α.

第三章通过在C〓中的有界星形圆形域和复Banach范数之下的单位球上建立一些微分不等式，给出了α次的殆星映射的两个充分判别条件。

In chapter 5, we investigate uniformly starlike and uniformly convex mappings on the unit ball in C〓, give a criterion for the latter, and obtain some results which are similar to Harnack inequalities. Hence the contents of these two mappings are richened a little.

第五章主要研究多复变数的一致星形映射和一致凸映射，给出一致凸映射的一个判别准则，并且得到关于这两个映射的类似于Harnack不等式的结果，从而使得有关这两类映射的研究内容更加丰富。

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％。