不等式组

With given circumradius R and inradius r,two fundamental inequalities related to the lower bound of the area A and perimeter p of a convex set K are obtained.

在给定平面凸集K的外径R和内径r的条件下，得到了关于凸集的面积A和周长p的下界的一组不等式，并且证明了当凸集K为双帽体时不等式取得等号。

This paper makes use of a Lyapunov function and a nonlinear integral inequality of Gronwall-Bellman-Bihari type to study the asymptotic hehaviors of solutions of a second-order nonlinear functional differential equation.

本文利用李雅普诺夫函数及一个Gronwall—Bellman—Bihari型的非线性积分不等式，研究一类二阶非线性泛函微分方程解的渐近性态，在第一部份，给出一组方程的全体解可延展到t=+∞的充分条件及三组方程的全体解有界的充分条件。

Since the concept of NA have a lot of applications in multivariate statistical analysis, reliability theory and percolation theory, various aspects of NA are significant and have been investigated by a host of scholars Fist, we give some Fuk-Nagaev type probability inequalities, moment inequalities of maximal partial sum for sequence of NA random variables, and some strong law of large numbers and complete convergence for sequence of NA random variables are obtained.

在本论文中我们对不要求强平稳或同分布的NA随机变量列进行了多方面的研究：首先对NA列建立了一组具有NA特点的关于最大部分和的Fuk-Nagaev型概率不等式及其关于某一类特定函数的矩不等式，它们在后续给出的极限定理的证明中发挥着重要作用；研究了具有不同分布的NA列的强收敛性，如对NA列建立了更一般条件下的Wittmann型强大数律及完全收敛性，同时也进一步改进了R。

A necessary and sufficient condition for the existence of guaranteed cost control is derived. Furthermore, it is shown that this condition is equivalent to the solvability of a system of linear matrix inequalities, and its solution provides a parameterized representation of guaranteed cost controllers. Based on that, the design of the optimal guaranteed cost controller is formulated as a convex optimization problem, which can be solved by the existing convex optimization techniques.

通过采用线性矩阵不等式的方法，导出了存在保性能控制律的一个充要条件，进而，证明了该条件等价於一组线性矩阵不等式的可解性问题，并用这组线性矩阵不等式的可行解给出了保性能控制律的一个参数化表示。

So it is particularly necessary to find out the solution of linear Diophantine equations and inequations.

本文在ABS的框架下，系统地研究了线性丢番图方程组及不等式组的解法。

Vehicle's collision with the speed control hump would lead to vehicle damage, driving unconfort, noise pollution and speed control hump would lead to damage. The units of speed control hump were laid dividually in transverse direction to solve the problems. Inequations were given to guarantee that vehicles would not tilt when passing speed control hump would lead to.

提出将垄单元横向间断布设以解决车辆与减速垄反复碰撞造成车辆损坏、驾乘舒适性差、周边环境振动、噪音污染和减速垄损坏等问题，列出不等式组保证车辆通过垄单元时不发生倾斜。

We also construct a new algorithm for approximating the solution of this system.

我们也建立了一类新的算法来逼近这一不等式组的解，本文的结果使得近期相关结果成为本文的特殊情况。

Finally, a simplified method is also presented to solve the constraints system problem. This method can simplify the liner constraints inequality group effectively.

论文最后还提出了一种线性约束系统的简化求解算法，可以使线性约束不等式组的求解简单化。

Theoretical analysis proved that inequalities perfectly described the optimal matching problem between and for a given full-load vehicle.

分析说明：对于给定满载负荷的汽车，不等式组完善地解决了缓速器制动力与制动力分配比之间的优化匹配问题。

Finally, we offer a method to reduce shift communication. In chapter 5, we invent a method based on linear inequalities representation to perform communication optimization and code generation. This method eliminate the restrictions on processable program placed by RSD based method used by RICE Fortran D Compiler or Symbolic Set based method used by PARADIGM Compiler.

第五章提出了一种以线性不等式组作为工具的更加实用化的通讯优化和结点代码生成方法，该方法克服了RICE大学实现FortranD编译器使用的基于规则段描述子的方法以及PARADIGM编译器使用的基于符号集的方法对输入程序的诸多限制，避免了复杂的规则段运算和符号集运算及其造成的无效性，拓宽了可处理的程序类，增强了编译器的处理能力。

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％。