极值性质

In Brunn-Minkowski-Firey theory, we establish two extremum properties of the new ellipsoid; Then we generalize Petty\'s affine projection inequality and monotonicity results related to affine surface area to L_p—affine surface area; We establish the Brunn-Minkowski type inequalities for the volume of the L_p centroid body and its polar body with respect to the normalized L_p radial addition. At last, we introduce the minimal L_p—mean width of a convex body and generalize the minimal mean width to the Brunn-Minkowski-Firey theory.

在L_p-Brunn-Minkowski理论中，我们首先给出了两个关于新椭球的极值性质；然后研究了L_p仿射表面积，将Petty仿射投影不等式和Winterniz单调性问题推广到L_p仿射表面积；建立了L_p质心体和其极体的Brunn-Minkowski型不等式；研究了凸体的最小L_p平均宽度，给(来源：3bABbeC论文网www.abclunwen.com)出凸体K具有最小L_p平均宽度的充分必要条件，最后给出了凸体L_p平均宽度位置的稳定性。

These results show the corresponding relationship between the composite function and interior function and outer function.

本文讨论复合函数的性质，对复合函数在极限、连续性、可导性、可积性、有界性、奇偶性、周期性、单调性、极值等方面的性质进行了总结和进一步的探讨，得到一系列结果，这些结果描述了复合函数与其内外函数之间在相应性质上的关系。

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 virtue of this,some properties of convex polyhedroid are studied and the definite values and extreme values of convex polygon in Euclidean plane are extended to the case in n-dimensional space.

提出n维欧氏空间中广义重心坐标的概念，建立了广义重心坐标下两点间的距离公式，并利用于研究凸多胞形的若干性质，将欧氏平面上凸多边形的一些定值与极值性质推广到n维空间。

In fourth chapter of this paper,we mainly investigate the properties of a subclass S_p~* of starlike functions of orderα,including its coefficient estimate,distortion theorem,closure theorem and extreme points theorem.

在第四章中，我们主要研究了α次星形函数一类子族S_p~*的性质，包括系数估计，偏差定理，闭包定理，极值点定理。

The model in this paper takes the form as belowThe main contents and results in this paper are as follows:In section 1, we state our main analytical results on equilibria of the above system. First, several sufficient conditions for coexistence of the steady-state are given by the standard fixed-point index theory in cone. Second, the global structure of the coexistence solutions and their local stability are established by using bifurcation theory. Third, the multiplicity, uniqueness and stability of positive steady-state solutions to this system are derived by means of perturbation theory of eigenvalues, standard regularity theory, Sobolev embedding theorem and fixed-point index theory.

本文主要有两章内容：第一章研究了该模型正平衡解的性质，可分为三部分：第一部分运用极值原理、上下解方法和锥映射不动点指标理论得到正平衡解存在的充分条件；第二部分利用分歧理论给出了平衡态系统正分歧解的结构，并讨论了局部分歧解的稳定性；第三部分利用特征值扰动理论、标准椭圆正则化理论、Sobolev嵌入定理及指标理论讨论了正平衡解的多重性、唯一性及稳定性，并讨论了参数对解的影响。

Extremal properties of stationary stochastic sequences and continuous time processes.

平稳随机序列和连续时间过程的极值性质。

The Scheutjens - Fleer model on monodisperse polymer adsorption was extended to the situation of polydisperse polymer adsorption by the method of seeking the extremum of the partition function constructed for the system.

采用构作配分函数而后求极值的方法，将Scheutjens-Fleer模型推广到多分散高分子吸附情形，并采用适当的计算方法，解决了长期以来人们难以解决的多分散高分子模型计算上的困难，研究了固液界面区域多分散高分子的微观吸附行为、多分散指数对吸附层性质的影响以及各种微观构象的链段大小的几率分布。

A yuan of 3 second function the propositional means in the university entrance exam is mixed from the extreme value that studies function at first the main character of the function such as drab interval begins, had now

一元三次函数在高考中的命题方式从最初论究函数的极值和单调区间等函数的基本性质开始，现在有了

This paper introduces a method of edge detection. By comparison with topography, it is found that the character of edge of image shows the same valley's character as relief map.

利用图象边缘轮廓呈现的一种沟壑性质，开发了一种通过求象素亮度的极值来进行边缘检测的方法。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。