不等式

By applying the tools such as modulus of curves and rings, together with Rohde s theorem, it proves that a homeomorphism is a bi Lipschitz map if and only if it satisfies a logarithmically absolute value inequality of rings.

运用曲线族的模和环模等工具，结合 Rohde定理，证明同胚为双 Lipschitz映射的充要条件是：它适合环的对数绝对值不等式；还得到了同胚为拟共形映射的一个充分条件。

Based on the new functional, delay-dependent sufficient conditions for absolute stability are derived in terms of linear matrix inequalities.

并由此基于线性矩阵不等式，得到了系统与时滞相关绝对稳定的充分条件。

Hua Luo—geng [1] has proved the generalized Opial ineguality: where y is an absolutely continuous function on,y=o and l is a positive integer.

华罗庚先生[1]证明了当y是上绝对连续函数，y=O时，推广的opial不等式对正整数ι都成立。

We first got the PML equations by making the radius complex, and then proved that the sesquilinear form in the weak formulation of the PML problem satisfies the Grding inequality under the hypothesis of the absorption factor, and further could prove the existence and uniqueness of the solutions of the PML problem, finally, we gave the numerical experiments which show that this method is feasible to a certain extent.

首先通过复化极径得到PML方程，然后在关于吸收参数的假设下，证明了PML问题变分形式中的半双线性形式满足Grding不等式，进而证明了PML问题解的存在惟一性，并给出了数值实验。实验结果表明，该方法有一定的可行性。

We first got the PML equationsby making the radius complex, and then proved that the sesquilinear form in the weak formulation of the PML problem satisfies the Garding inequality under the hypothesis of the absorption factor, and further could prove the existence and uniqueness of the solutions of the PML problem, finally, we gave the numerical experimentswhich show that this method is feasible to a certain extent.

首先通过复化极径得到PML方程，然后在关于吸收参数的假设下，证明了PML问题变分形式中的半双线性形式满足Garding不等式，进而证明了PML问题解的存在惟一性，并给出了数值实验。实验结果表明，该方法有一定的可行性。

A mathematics model of comprehensive security control is formed by taking the total cost of control actions as the objective function and taking inequalities of hyperplanes as transient stability restrictions, and a optimization strategy called "the active restriction relaxation approach" is proposed which can classifies the contingency sets into two subsets.

以综合控制总成本为目标函数，以超平面形式的不等式为暂态稳定约束，该方法把安全性综合控制问题归结成了一个最优化问题。

The application problems mainly focus on how to solve triangle, acute triangle function, equation, inequation, function and its image, the three-dimensional image of a solid; while such knowledge as, plane geometry, solid geometry, operation of number and equation, trigonometric function equation, permutation and combination, ordered series of numbers sum, probability has no application problems.

4高中物理学习中存在运用困难的数学知识主要有函数及其图像、解三角形、锐角三角函数、方程、不等式、求函数极值、几何体的三视图等，然而，平面几何、立体几何知识、数与式的运算、三角函数公式、排列组合、数列求和、概率等知识基本没有运用困难。

Aiming at this problem, firstly, calculation formulae of utilization adhesion coefficient after installment of retarder were detailedly deduced. Then braking force distribution ratio , braking intensity and vehicle full-load parameters were taken as variables and inequalities which are about of retarder braking force , braking force distribution ratio , braking intensity and vehicle full-load parameters were established based on the ECE Law. The range of corresponding to any , as well as the most optimal matching between them, were obtained by solving these inequalities.

为此，论文在推导了安装缓速器后前、后轴利用附着系数、的计算公式基础上，基于ECE法规要求，以制动力分配比、制动强度及车辆满载参数为变量，建立了缓速器制动力关于车辆制动力分配比、制动强度和满载参数之间的多元不等式组，通过求解多元不等式组获得缓速器制动力与制动力分配比之间的取值关系，并从中得到二者之间的最优匹配。

With these conclusions,we present an accurate algorithm to solve the simultaneous inequality of binomial PDF.An optimum solution can be worked out by adopting multivariate half-folded searching algorithm,so that we can get the sampling plan of testability demonstration accurately and quickly.

根据这些结论，提出了求解二项分布的联立不等式的精确算法，在可能的求解区域采用多变量折半搜索的算法，确定联立不等式的最优解，从而可以快速准确地获得测试性验证的抽样方案。

In the second part, we give the relationships between some inequalities of trigonometric martingales with values in Banach space and TP uniform convexity of the space. So we characterize the TP q-uniformly convex of the Banach space by inequalities of trigonometric martingales with values in Banach space.

第二部分研究了取值于Banach空间的一类特殊而义具体的鞅-—三角鞅，三角鞅不等式与该空间的q一致TP凸性的关系，从而用三角鞅不等式刻划了空间的q一致TP可凸性。

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％。