极值问题

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。

A hybrid fast genetic algorithm (H2O) is proposed on the basis of various characteristics of nature evolution. This algorithm is combined with niche technician, a variety of crossover schemes, multi-populations and catastrophism phenomenons.

为了有效地克服非线性、多参数、多极值的组合优化问题中遗传算法的早熟收敛现象，引入生物的小生境技术和自然界生物多种杂交方式并存、多个子群体并行以及灾变现象而提出了一种综合的快速基因搜索策略。

Next, we provide some basal definitions and theories in the second section, such as the maximum principle, Holder continuity, Schauder theory and so on, which are foundation of the later work.

第二节主要给出一些相关的基本概念，定理。主要包括极值原理，Hlder连续性，Schauder理论，这些都是解决后面问题必要的基础知识。

Next, we privide some basal definitions and theories in the second section, such as the maximum principle, Holder continuity, Schauder theory and so on, which are foundation of the later work.

主要包括极值原理，Hlder连续性，Schauder理论，这些都是解决后面问题必要的基础知识。

Because the algorithm of support vector machine is a convex quadratic optimization problem, the local optimal solution is certainly the global optimal one.

并且，由于支持向量机算法是一个凸二次优化问题，能够保证找到的极值解就是全局最优解。

Multivariate Function Differential Calculus is widely used, so are the limits of conditions in optimization problems.

多元函数微分学有着极其广泛的应用，其中条件极值在最优化问题中经常用到。

Study on local extremum of object function in mutual information-based image registration;2. The difficulty of optimization caused by local extremum is the key problem of the algorithm.

由局部极值导致的寻优困难是困扰该算法的核心问题，混合优化算法成功地解决了互信息函数的寻优问题，但延长了配准时间。

In order to solve the problem of local extremum encountered in the process of optimizing the complex multimodal functions, an interval decomposed optimization method is presented based on genetic algorithm.

为解决遗传算法面对复杂多模态函数优化问题时易陷入局部极值的问题，提出一种区间分解优化思想。

In order to solve the problem of local extremum encountered in the process ot optimizing the complex multimodal functions, an interval decomposed optimization method is presented based on genetic algorithm.

为解决遗传算法面对复杂多模态函数优化问题时易陷入局部极值的问题，提出一种区间分解优化思想。

In chapter 3,we discuss the existence of solutions for impulsive differential equations with two-point boundary condition.

通过使用脉冲不等式和分析方法，得到了一阶脉冲微分方程周期边值问题新的比较结果，借助所给的新的上下解，结合单调迭代技巧，建立了一阶脉冲微分方程周期边值问题极值解的存在结果。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。