可证明的

this article discusses the integral theorem of mean the promoted question, mainly has two aspects: On the one hand in analyzes in the teaching material under the first integral theorem of mean condition, had proven lies between the value spot to have to be possible to obtain in the open-interval, further discusses this knot promotes to the generalized Riemann integral, and further proved the conclusion also establishes to the promoted first integral theorem of mean; Promotes on the one hand in addition the integral theorem of mean to in the curve and the curved surface, and has proven the curvilinear integral theorem of mean and the surface integral theorem of mean.

本文讨论积分中值定理的推广问题，主要有二个方面：一方面在分析教材中第一积分中值定理的条件下，证明了介值点必可在开区间内取得，进一步将这个结论推广到广义Riemann积分，并进一步证明结论对推广的第一积分中值定理也成立；另一方面，将积分中值定理推广到曲线和曲面中，并证明了曲线积分中值定理和曲面积分中值定理。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational ,basic , differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality and Minkowski inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式和闵可夫斯基不等式以及这几个不等式的应用，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

First, we introduce the concept of polarizable Carnot group and give some new properties of its homogeneous norm. Then we construct a class of non-divergence equations as well as their nontrivial solutions. The failure of corresponding A-B-P type estimate and uniqueness to the Dirichlet problems in space~ follow.

首先引入可极化Carnot群的概念，给出了可极化Carnot群上齐次模的若干性质，然后构造了一类非散度型次椭圆方程及其非平凡解，由此证明此类方程Dirichlet问题的解在函数空间L~中不唯一，进而证明相应的Alexandrov-Bakelman-Pucci型估计不成立。

In 1892, D.Ivanowsky of Russia had first shown that the causal agent of tobacco mosaic disease was filterable, but Beijerinck went much further and provided strong evidence that although the causal agent was filterable, it had amny of the properties of a living organism.

在 1892年，俄国的 D.Ivanowsky 首先证明了烟草花叶病的病原体是具有可滤过性。但是荷兰的Beijerinck研究得更深入，不仅提供了充分的证据证明尽管病原体是可滤过的，但是它却具有了生命体的所有特征。

By introducing the generatingfunction method,the integrability of FDIHS is proved,which is thesimplest way we know so far.

通过引入母函数方法，较简洁地证明了系统的可积性，包括守恒积分族的对合性与独立性，其中关于对合性的证明是迄今为止最为简洁的证明。

Further, in thispaper, we discuss the operation for the graphs that have an ASD, and prove that the mixed product of circular graph has an ASD; Further more, in this paper we prove that the tensor product for two graphs which both have an ASD has an ASD.

进一步地，我们还探讨了可升分解的图的运算，证明了循环图的混合积可以升分解；更深入地，本论文还证明了两个可升分解的图的张量积可以升分解。

The payoff function v thus defined is proved to have supperadditivity,and the Shapley value so defined proved to satisfy axioms such as efficiency,symmetry,dummy and additivity.The fuzzy Shapley value method for profit allocation in enterprise coalitions was thus given by examples.

并证明了支付函数v具有超可加性，以及Shapley值满足有效性、对称性、哑元性与可加性的公理体系，实例证明了企业联盟收益分配的模糊Shapley值方法。

Second,a new estimator called generalized rootpower estimator of regression coefficients in growth curve model is obtained.For the newestimator,its superiority over the LS estimator and the root power estimator,and its admissibilityare proved.Two methods,two kinds of arithmetic of choosing the generalized root powerparameters are introduced.A demonstrative practical example is provided.

对增长曲线模型中的回归系数矩阵提出了一种新的估计——广义根方估计，并证明了通过广义根方偏参数的适当选取可使得该估计在均方误差和均方误差矩阵的意义下优于已有的最小二乘估计估计和根方估计；及证明了广义根方估计是可容许估计；还给出了选取广义根方偏参数的两种方法、算法和应用实例。

Rutherford back scattering has shown that the molybdenum concentration depth profile in Al is wider than that of theory calculation. It is observed by TEM that compound A1 12 Mo can be formed in the implanted layer. The thickness of alloy layer is about 650nm by RBS. A mo...

cm- 2 。透射电镜分析证明在注入层内可形成 Al1 2 Mo晶体；背散射分析证明 Al1 2 Mo的厚度可达 6 0 0至70 0 nm；结合强束流脉冲注入的特点，根据碰撞理论提出了解释钼反常分布的"蜂窝"模型。

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。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。