查询词典 absolute inequality

The frame is a special Besselsequence, which extends the Parseval equality of orthonormal basis in Hilbert space tothe two-sided inequality in general sequence.

框架是一类特殊的Bessel序列，框架是把Hilbert空间中的规范正交基满足的Parseval等式推广到比较一般的序列所满足的双边不等式的结果。

In order to reasonably depict four basic problems with friction, one Coulomb friction new form in first Kirchhoff stress is proposed to deal with finite deformation problems, other Coulomb friction form in incremental mode to elastoplastic flow theory; Hilbert function spaces concerning elastoplastical problems with friction are established, so it makes all operations and calculations in the treatise standardized within the scope of reasonably topologic structure; In view of functional extremum, the equivalence between generalized variational inequalities principles in elastoplasticity with friction and corresponding basic problems are testified by inducing Lagrangian multipliers, so it provides a rationally theoretical basis for numerical methods in elastoplasticity with friction; From the viewpoint of variational inequality, the theory of generalized variational inequalities in elasticity and elastoplasticity with frictional constraint is studied, and the uniqueness and existence of the solution of FEM is proofed under the proposed conditions of stress compatibility, and them FEM approximation and a discrete solution are discussed; Based on the principles of generalized variational inequalities in elastoplasticity with friction, direct generalized variational inequalities methods is pretended, which is a natural generalization and development of direct variational methods; Using generalized variational inequalities methods, some examples in metal forming including plane deformation, upset and extrusion are analyzed and the results prove that all the theories and methods in the paper are right, feasible, accurate and advanced.

主要内容有：为了合理地描述金属塑性成形中摩擦约束弹性、弹塑性基本问题，提出和研究了有限变形下以Kirchhoff第一应力表示的Coulomb摩擦定律形式和弹塑性流动理论下以增量形式表示的Coulomb摩擦定律表示形式；系统建立了摩擦约束弹塑性问题的Hilbert函数空间，使本文规范在一个具有合理的代数拓扑结构内进行一切操作和运算；利用Lagrange乘子，从泛函极值的角度系统地阐述和论证了一系列摩擦约束弹性、弹塑性广义变分不等原理与相应的实际问题之间的等价性，它为处理摩擦约束的弹塑性力学数值方法提供了合理的理论基础；从变分不等式的角度出发，阐述了对应于摩擦约束弹性、弹塑性问题的广义变分不等式理论，首次提出了在应力相容性条件下，它的有限元解具有存在唯一性，进而讨论了其有限元近似及离散解法；基于摩擦约束弹塑性广义变分不等式原理，首次提出了直接广义变分不等式方法，这一方法是直接变分法的合理推广和发展；利用直接广义变分不等式方法对金属压力加工中的平面变形问题、镦粗、挤压等塑性成形问题进行了分析计算，验证了该理论和数值算法的正确性、实用性、精确性和优越性。

And the generalized Schwarz inequality for complex Riesz homomorphism is obtained as well as some useful corollaries.

证明了复Riesz同态满足推广的Schwarz不等式，并得到相关的有用推论。

By using new inequality techniques, homotopic mapping and constructing a new type Lyapunov func tional method, we obtain some new criteria guaranteeing global asymptoticstability.

研究多时滞Cohen-Grossberg神经网络的全局渐近稳定性，利用新的不等式技术，同伦映射及李雅普诺夫泛函方法，我们获得了几个新的准则。

There is a mouse in my heart, peaceful and happiness. He lives in a peaceful world where has no hungriness, no battle and no inequality.

有一只老鼠在我心里，和平而又幸福的，它生活再一个没有饥饿，没有战争，没有这样或那样的不平等的一个和平的世界里。

Certainly, he also has his own dream. He dreams someday the world can be peaceful and warmful. There is no hungriness, no impoverishment , no disease and no inequality. Everyone can live the life which they want. Although it is very difficult to realize this dream and this needs a very long time, he will never give up. He will strive until the dream comes true.

当然，它也有自己的梦想，它梦想有一天，全世界都充满和平，温馨的氛围，没有饥饿，没有贫穷，没有疾病，没有不平等，人们都能过上自己想要的生活，虽然，实现这个梦想会很艰辛，而且要很长的时间，但是它从不会放弃，在消除这些不平等和实现这个梦想的道路上努力拼搏下去。

In chapter 3,we analyze the global attractor of static reaction-diffusion neural networks with time-varying delays using the semigroup theory of operators, the inequality skills and the imbedding method in Soblev space. A very useful and convenient criterion on the existence of the location of this global attractor is given. Furthermore, we can estimate the location of this global attractor in the space.

在第三章中，我们用算子的半群理论，不等式技巧和Soblev空间的嵌入方法分析了变时滞静态反应扩散神经网络的全局吸引子，给出了一个简洁实用的判定全局吸引子存在的准则，进而，估计了全局吸引子在空间中的位置。

Perhaps the inequality of British society is less to blame than its immobility.

或许该责备的并不是英国社会阶级性而是它的一成不变。

According to IPEA these income transfers account for a third of the reduction in inequality.

根据IPEA的调查，这些收入转移支付减少了三分之一的不平等。

I think on one hand, if income inequality is too large in one country, its government has to adjust it, which is detrimental for the investors' disposing ability on their returns of investment. Then the incentive on investment decrease and economic growth will be undermined. On the other hand, if the income gap becomes larger and larger, the social wealth will be focus on the minor wealthy people, which cause a lower effective demand. This is because that the consumption of high incomer will be limited by their physiology limitation, their expenditure of consumption will eventually decrease and the large part of their income will not transform into consumption.

笔者认为：一方面，如果一个国家收入差距过大，则该国势必加强对其居民收入分配进行调节，那么这一地区投资者对投资回报的私人处理能力会受到损害，因宄而投资激励降低，经济增长受到损害；另一方面，如果一国收入差距越来越大，那么这个国家的财富会向少数人手里集中，将会引起这个国家的有效需求的降低。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48