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Chapter one has introduced the background and classification of minimax theorems; Chapter two summarizes several proof method of minimax theorems, which are illustrated with examples; Chapter three has explained the development general situation of minimax theorems for a function and for two functions with chapter four respectively, and according to the classification of the theorem, has illustrated some important conclusionses in quantitative minimax theorems, topological minimax theorems and quantitative-topological minimax theorems separately.

第一章介绍了极大极小定理的背景及其分类;第二章总结了极大极小定理的几种证明方法,并举出例子进行说明;第三章和第四章分别阐述了单函数的极大极小定理和两个函数的极大极小定理的发展概况,在第三章中,按照极大极小定理的分类,分别对数量极大极小定理,拓扑极大极小定理和数量拓扑极大极小定理的一些重要结论作了介绍。

If the evidence adduced by him or otherwise arising in the case is of a sufficient cogency to raise such an issue, the court, when assessing the evidence as a whole at the end of the case, decides whether the proponent of the will has discharged the persuasive burden in relation to the relevant fact in issue on the balance of probabilities.

如果举出的证据是由他或以其他方式出现的情况是有足够的能力提出这样一个问题,法院进行评估时的证据,作为一个整体在去年底的情况,决定是否倡议者的意志,已出院了有说服力的负担,在关系到有关的事实问题上的平衡概率。

Those on both sides of the issue cite weighty arguments for their positions, quote Scripture as a foundation, and comb through Augustine, Calvin, and others for support.

这些对双方的问题,举出有份量的论点,为自己的立场,引用圣经为基础,并透过梳奥古斯丁,卡尔文等方面的支持。

In Chapter 5, in geometric perspectives, the geometric properties of complex numbers are explored, including complex plane, four arithmetic operations of complex numbers and nth root of a complex number. It is also exemplified how these geometric properties are applied to solving the problems of plane geometry.

第五章从几何的观点探索复数的几何性质,包括复数平面、复数的四则运算及复数的n次方根,并举出几个例子,说明这些几何性质如何应用在解决平面几何的问题上。

It cites behaviors that indicate that, as author Cristen Conger says, negative emotions could be taking a toll, beyond unhappiness and perhaps even into the realm of depression.

这篇文章中举出的行为所表明的,正如作者Cristen Conger所说的一样,消极情绪可能会带来的代价会大于不快乐,甚至进入抑郁的范围。

You can construct this number with me.

你可以跟我举出这样的数字。

This article is mainly discussed the relation between some important concepts and conclusions about the Limit of Sequence, the Limit, Continuity ,Differentiability, Integrability of Function, the Infinite Series , and the Limit, Continuity, Derivativeness,Differentiability of Multivariable Function ,as well as the Multiple Integral, and Integral with parameter .

本文对数列极限,一元函数的极限、连续性、可微性、可积性,无穷级数,多元函数的极限、连续性、可导性、可微性以及重积分,参变量积分中的一些重要概念和结论之间的关系进行了一些探讨,每一个问题都作了适当说明或举出反例,并对一些相关的内容进行了讨论,得到若干结果。

Electrochromic ion pump caused by changes in the characteristics of membrane potential can cite the following: there is no equilibrium potential; not accompanied by increased membrane resistance; hairy Convolvulus case may disappear, such as glycosides.

电致离子泵引起的膜电位变化的特征可以举出这样几点:不存在平衡电位;不伴有膜电阻的增大;遇多毛旋花苷可消失等。

Similarly, in his later expositions of the case for capitalism, he stated his own values, and cited corroborative evidence, but resisted the temptation to argue about theories of freedom, justice, the state and so on.

同样,在后期倡导资本主义的论述中,他陈述了自己的价值观,并列举出佐证,但终究没有去探讨自由、公正和国家等方面的理论。

Apel proved that the rotated Q_1 element [36] can not be used on anisotropic meshes by giving a counter example.

Apel在[53]中已证明,较新的旋转Q_1元[36]是不能用于各向异性网格的,并且举出了反例;(3)。

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According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。