极值问题

The forbidden subgraph problem is a prime example of the rather large family of extremal problems is graph theory.

禁向子图问题是图论中相当大的一类极值问题中的主要例子。

The last two years the popular quantum-inspired evolutionary algorithm process, to optimize the basic questions about this program is based on a continuous extremal problem.

详细说明：最近两年流行的量子进化算法程序，能够优化一下基本的问题，本程序是基于一个连续的极值问题。

At last, the extremal problems of some convex intuitionistic fuzzy mappings are discussed, which is the theoretical basis for the research on intuitionistic fuzzy optimization.

最后，讨论了一些凸直觉模糊映射的极值问题，为进一步研究直觉模糊优化问题提供了理论基础。

Based on the principle of variation, boundary value problem of pressure partial differential equation was transformed into the extreme value problem of fonctionelle and finite element equation of flow model was deduced for calculating the simulation result.

根据变分原理，将压力微分方程的边值问题转化为泛函的极值问题，建立了渗流模型的有限元方程。

The method can convert OPF problem into unconstrained extreme value problem using intellectual optimizing characteristics. The PSO algorithm is used in the searching, which has the parallel processing characteristic is easy to realize, and can enhance robustness and effectively improve the global convergence performance and calculation accuracy.

该方法利用智能优化理论将最优潮流问题转化成一个无约束极值问题，该算法具有并行处理特征，鲁棒性好，易于实现，能够有效的提高算法的全局收敛能力和计算精度。

In chapter2 we obtain the constructure theorem and intechange theorem of 2-tournaments.wefind the correlation between the number of 3-cycles and 2-cycles in 2-tournament andits score vector,discuss a class of extreme value problem of tournament,answer partlya open problem posed by Brualdi.

第二章讨论了2-竞赛图和竞赛矩阵的一些基本问题：存在性和结构问题，证明了具有相同得分向量的任意两个2-竞赛矩阵可以通过三角形转换而互相得到，得到了2-竞赛图中2-圈与3-圈的数目与得分向量之间的关系式；讨论了2-竞赛中的一类极值问题，部分地回答了Brualdi〓的一个问题。

In this algorithm, the solving space of logical variables is reduced by logical constraints, and the computational complexity is not raised exponentially when the logical variable number is raised. The scale of the NLP sub-problems is also reduced. The global optimal solution will be obtained, and the local optimal problem of nonlinear system is avoided.

算法的特点为：利用逻辑变量的物理意义来缩小求解空间，避免了计算量随逻辑变量数目呈指数型上升的问题；NLP子问题的规模大大缩小，加快了求解速度；可以得到严格的全局最优解，避免了非线性模型可能带来的局部极值问题。

This article first introduced the Lagrange multiplicator law and the development, have given the function of many variables condition extreme value essential condition, and solved the function of many variables condition minimum problem using it.

本文第一介绍了拉格朗日乘数法及其拓展，给出了多元函数条件极值的必要条件，并利用它求解了多元函数的条件极值问题。

Based on modern optimization theory and optimal control theory, this dissertation studies some questions as follows:1. The optimization model of parameter identification of three-dimensional geologic history numerical simulation, algorithm and its applicationGeologic history numerical simulation is a basic content of basin numerical simulation, and the porosity is the major parameter in the evolution and development process of oil-bearing basin. According to the sedimentation and burial mechanism, the physical and chemical principles of oil geology, the mudstone porositys non-linear parabolic partial differential equation has been established.

本文应用现代最优化及最优控制理论，对如下一些问题进行了研究： 1、三维地史数值模拟的参数辨识优化模型、算法及应用地史模拟是盆地数值模拟的一个基础性的研究内容，地层孔隙度是含油气盆地地史演化发育过程中的重要参数，根据地层沉积埋藏机理和石油地质的物理化学原理，通过引入数学物理方程概念，建立了泥岩三维孔隙度场方程，根据问题的特点，给出了方程的定解条件，对方程的动边界也给出了处理方法，并且证明了解的存在性与惟一性，在此基础上建立了以当今实测数据为拟合准则的三维地史数值模拟的参数辨识优化模型，这是一个含有二阶偏微分方程约束的泛函极值问题。

The essence idea of restoration based on Total Variation is that translate the problem into minimum of energy functional with TV regularization, then the Partial Differential Equations are got from the principle of variation, finally after discretization the optimal resolution with the numerical methods is obtained.

基于整体变分的图像恢复概括的说就是把图像恢复问题形式化为带有整体变分正则化项的图像能量泛函极值问题，采用变分原理将其中的最小化问题转为所要求解的偏微分方程，即Euler-Lagrange方程，利用数字图像本身的离散特征使用适当的数值方法来求它的最优解，最后达到逼近原始图像的目的。

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。