基本思想

The former firstly establishes state graph of power system, and then, with the use of the adjacency matrix and path matrix of the directed graph, fast finds out the key transmission sections suffered greatly from the outages of overload lines through simple calculation of matrix. In the latter, the minimal short transmission path, the length of which is calculated with line impedance, is determined with graph theory to focus on security analysis objects from the whole network to some key transmission lines.

前者根据实时网络拓扑结构和潮流分布状态，在对初始电力网络简化、分区的基础上，利用有向图的邻接矩阵与路径矩阵，通过简单的矩阵运算，快速识别出与过载线路相关的关键输电断面；后者直接利用系统各支路的阻抗，从图论算法的基本思想出发，搜索最易遭受大负荷转移的关键传输路径，从而将安全性分析目标从整个网络缩小到某些关键的输电线路。

Moreover, our method is insensitive to image noise.(2) For single face detection in gray scale images, three methods based on three curve evolution models have been presented, i. e., GVF-based method, Chan-Vese model based method, and deformable pedal curve based method.

2针对静态灰度图像的单人脸检测问题，充分利用活动轮廓模型的特点和人脸的先验知识，提出两种基于活动轮廓模型的单人脸检测方法，即基于梯度向量流的人脸检测方法和基于Chan-Vese模型的人脸检测方法，其基本思想都是直接在原模型中加入人脸椭圆约束。

In this paper, an orthogonal function method is presented based on the idea to suppose periodic solution with the method of harmonic balance.

本文根据谐波平衡法假设周期解的基本思想，提出了一种分析非线性振动特性的正交函数法。

Our methods are based on soliton integrable theory, geometric singular perturbation theory, and Melnikov analysis.

其基本思想方法是基于孤子可积理论，Melnikov方法和奇异扰动理论的综合运用。

In the third chapter, at first the significance and basic idea of the phase space reconstruction is discussed.

第三章首先讨论了相空间重构的意义及基本思想，给出分形维的概念及分形维的计算方法，分析了关联维数的相关问题。

The basic idea of single curvature polyhedron high temperature bulging technology for manufacturing spherical tanks is put forward.

提出了单曲率多面壳体高温胀形制造球形容器工艺的基本思想。

The SCVFV(the convection-diffusion difference scheme based on control-volume face values) scheme was put forward. The theory of the SCVFV scheme was systematically elaborated. The general interpolation formula of the SCVFV scheme was given. The formulas of the SCVFV scheme based on the Cartesian coordinate were derived. The precision, the mass conservation property and the preventability of the false-diffusion of the SCVFV scheme were theoretically analyzed.

提出了基于控制容积面值的对流扩散差分格式SCVFV，系统地阐述了SCVFV格式的基本思想，给出了SCVFV插值公式的通用表达式，推导了直角坐标系下完整的SCVFV格式的表达式，从理论上分析SCVFV格式的精度、守恒性及反伪扩散性。

This paper primitively introduces the principle of DNA computing and it's basic mathematical thought.

该文简要介绍了DNA计算的原理及其数学计算的基本思想

The main idea of variant design is to adapt the existing product or module to the new requirements.

产品变型设计的基本思想就是通过改进已有的系列产品或模块来适应新的设计需求。

The projection gradient method will be a possible way to solve the problem that we just get. It has been shown that the projections of the every directions, of which is the boundary point in linear restraint problems, are the possible decent directions, and the projection of negative grads direction is a decent direction. In 1960, Rosen proposed the basic idea of projection gradient methods, and then lots of researchers have been tried to find the convergence of this method. But most of them get the convergence with the condition to amend the convergence itself.

在约束最优化问题的算法中怎样寻找有效的下降方向是构造算法的重要内容，在寻找下降方向方面可行方向法中的投影梯度法有效的解决了下降方向的寻找问题，利用线性约束问题边界点的任意方向在边界上的投影都是可行方向，而负梯度方向的投影就是一个下降方向。60年代初Rosen提出投影梯度法的基本思想，自从Rosen提出该方法以后，对它的收敛性问题不少人进行了研究，但一般都是对算法作出某些修正后才能证明其收敛的，直到最近对Rosen算法本身的收敛性的证明才予以解决。

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。