证明用的

Inequality proof of various ways, they were: use derivative testify inequality nature, Includes using functional monotonicity and extreme value, the function and the concave and convex inequality, proving is concave and convex function in the original definition of equivalent definitions and a lemma is proposed on the basis of relevant concave and convex function of several theorems about inequality, and briefly discusses how to use the definitions and theorems in proof of inequality.

不等式的证明方法多种多样，它们分别是：用导数性质证明不等式；包括利用函数单调性，极值与最值，函数凹凸性证明不等式，其中在给出凹凸函数原始定义等价的解析定义和一个引理的基础上提出有关凹凸函数关于不等式的几个定理，并简要阐述了利用定义和定理在证明不等式中的运用。

In chapter 3, we give a unifying proof for some known difference sets by using Gauss sums, and we construct a new family of divisible difference sets.

在第三章中，我们用Gauss和给出了几个已知差集的统一的代数证明，它们原有的证明要么是用组合设计的方法，要么是用很技巧性的计数方法得到的。同时我们构造了一族新的可分差集。

The existence of potential 〓、Ω is proved in linear functional space theories.

用线性函数空间理论证明了位函数〓、Ω的存在性；指出了现有文献在退化矢量位〓的唯一性证明中所存在的问题，并重新给予了证明；证明了位函数〓、Ω在导体与导体、导体与非导体界面上自然满足分界面条件；针对汽轮发机端部的轴对称涡流场，讨论了位函数〓、Ω的泛函及有限元代数方程组的形成。

The best tested system has been proved to be the Ag/TiO2 catalytic wall reactor with a 0.6 wt.% of Ag loading, showing a high activity both in relative (per gram of TiO2) and absolute terms, an optimal use of the radiation source, and a good stability of the film with negligible silver lixiviation, allowing the continuous treatment of water.

最佳测试的系统已被证明为银/TiO2 墙催化反应器用的银加载和显示一个高活性每克 TiO2）的相对和绝对的条款，在辐射源的一个最佳利用及良好的稳定性与可忽略不计的银 lixiviation，这部电影的允许连续处理水的 0.6 wt。%。

Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.

本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状；然后，将供应链系统作为一个复杂系统来分析，确定了系统运行过程中所经历的状态，通过引入补充变量的方法，建立了用偏微分方程组描述的分布参数系统模型，用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式，证明了系统解存在的唯一性、非负性和指数阶渐近稳定性；并借助Matlab工具，利用二阶、三阶辛普森积分方程模拟系统解的性态，并给出系统动态解的仿真图；本文又对上述系统增加了系统可能失效状态和优化调整状态，并在此基础上建立了用偏微分方程组描述的分布参数系统模型，同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究，得到系统动态解和稳态解的数学表达式，证明了系统动态解存在的唯一性、非负性及渐近稳定性，为进一步分析和研究供应链优化奠定了理论基础。

Retributivists claim justice and desert, utilitariasts claim maximization of social utility. In "Two concepts of Rules", Rawls put forward a mixed theory to reconciliate the utilitarian and retributive theories. He distinguishes between the justification of an institution and the justification of practice.

在《规则的两个概念》一文中，罗尔斯提出了一种关于法律惩罚的混合理论，他首先对惩罚的制度层面和实践层面进行区分，在此基础上分别从两个层面对惩罚进行证明，认为惩罚的制度层面可以用功利主义进行证明，实践层面可以用报应主义进行证明。

FORM THE THIRD: Take in hand the item to be Restored, and hold it forth within the Primed Fountain, murmuring all the while the appropriate phrases, which are to be learned most expeditiously and faultlessly from this Manual, and this Manual alone, notwithstanding the vile calumnies of Kharneson and Rattor, whose bowels are consumed by envy of my great learning, and who do falsely give testament to the efficacies of their own Manuals, which are in every way inferior and steeped in error.

第三步：将你要恢复的道具拿在手中，提供给你要用的喷泉，持续不断的小声叨念出你只有在这本手册中才能快速无误学到的恰当的咒语。尽管如此卡内森和拉特还是对它恶语中伤，他们的内核已经被我伟大的学识消耗殆尽。他们的手册从各方面看都非常低级而且充满了错误，可他们还是虚假的为手册的效力做了证明。

If you hope the certificate, when seeks for the Fermat's theorem with ten year the primary proof defeat to be possible to come back, you definitely may prove, from the Maxwell time, these smatters to mathematics the human in starts with more and more complex mark cover mathematics thought insufficiency, hides constructs the natural law in the studio, gains God's favor.

如果你希望证明，当用十年的时间寻找费马大定理的初等证明的失败可回来，你完全可证明，自麦克斯韦时代起，那些对数学一知半解的人就在开始用越来越复杂的符号掩盖数学思维的不足，躲在书房里构造自然规律，获取上帝的宠幸。

How when we are in a Doubt or Hesitation, whether to go this Way, or that Way, a secret Hint shall direct us this Way, when we intended to go that Way; nay, when Sense, our own Inclination, and perhaps Business has call'd to go the other Way, yet a strange Impression upon the Mind, from we know not what Springs, and by we know not what Power, shall over-rule us to go this Way; and it shall afterwards appear, that had we gone that Way which we should have gone, and even to our Imagination ought to have gone, we should have been ruin'd and lost: Upon these, and many like Reflections, I afterwards made it a certain Rule with me, That whenever I found those secret Hints, or pressings of my Mind, to doing, or not doing any Thing that presented; or to going this Way, or that Way, I never fail'd to obey the secret Dictate; though I knew no other Reason for it, than that such a Pressure, or such a Hint hung upon my Mind: I could give many Examples of the Success of this Conduct in the Course of my Life; but more especially in the latter Part of my inhabiting this unhappy Island; besides many Occasions which it is very likely I might have taken Notice of, if I had seen with the same Eyes then, that I saw with now: But 'tis never too late to be wise; and I cannot but advise all considering Men, whose Lives are attended with such extraordinary Incidents as mine, or even though not so extraordinary, not to slight such secret Intimations of Providence, let them come from what invisible Intelligence they will, that' I shall not discuss, and perhaps cannot account for; but certainly they are a Proof of the Converse of Spirits, and the secret Communication between those embody'd, and those unembody'd; and such a Proof as can never be withstood: Of which I shall have Occasion to give some very remarkable Instances, in the Remainder of my solitary Residence in this dismal Place.

有时，我们会陷入无所适从的境地，踌躇不定不知道该走哪条路才好。这时候，内心常常会出现一种暗示，指示我们走这条路，虽然我们原来想走的是那条路。不仅如此，有时我们的感觉、愿望、或我们的任务明明要我们走那条路，可是心里忽然灵机一动，要我们走这条路；这种灵机也不知道是从哪里来的，也不知道出自什么影响，可就是压倒了原来的一切感觉和愿望，使我们走这条路。结果，后来的事实证明，如果我们当初走了我们自己想走的路，或者走了我们心目中认为应该走的路，我们则早已陷于万劫不复的境地。反复思索之后，我自己定下了一条规矩：每当自己心里出现这种神秘的暗示或冲动，指示我应做什么或不应做什么，我就坚决服从这种神秘的指示，尽管我不知道为什么该这么做或该这么走，我知道的只是心里的这种暗示或冲动。在我一生中，可以找出许许多多这样的例子，由于我遵循了这种暗示或冲动而获得了成功，尤其是我流落到这个倒霉的荒岛上以后的生活，更证明了这一点。此外还有许多例子。当时我若能用现在的眼光去看待，是一定会意识到的。但是，世上有许多道理，只要有一天能大彻大悟，就不算太晚。我奉劝那些三思而后行的人，如果在他们的生活里，也像我一样充满了种种出乎寻常的变故，或者即使没有什么出乎寻常的变故，都千万不要忽视这种上天的启示，不管这种启示是什么看不见的神明发出的。关于这一点，我不准备在这里讨论，也无法加以阐明。但这种启示至少可以证明，精神与精神之间是可以交往的，有形的事物和无形的事物之间是有神秘的沟通的。而且，这种证明是永远无法推翻的。关于这一点，我将用我后半生的孤寂生活中一些很重要的例子加以证明。

This paper testified that a part of the punctuations ofWestern language and a part of the punctuationsof Chinese language have different origins , and so they have different characteristics, but the other part of punctuationof two kinds of languages has the origin and characteristics in common.

内容提要：本文证明，西文标点符号和中文标点符号部分具有各自的起源和个性，部分具有共同的起源和共性，由于两类标点符号系统起源和特性的差异，存在同形的标点符号不同用的现象，因而存在标点符号的翻译问题。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。