算子的图

The fundamental problem of the geometry of matrices can be interpreted as a theorem on graph automorphism of the graph on a certain kind of matrices, and it also has practical application in the linear preserver problems which are the research area in matrix and operator theory.

矩阵几何的基本定理也可以叙述为图论中的图的自同构定理；并且它在矩阵和算子的保持问题中有很好的应用。

To solve the multi-objective FJSP, the Grantt graph oriented string representation and the basic manipulation of the genetic algorithm operator are presented.

为求解多目标FJSP，本文在分析该问题特点的基础上，提出了一种面向甘特图的串编码及相应的的遗传算法算子的基本操作。

In this chapter, we give out the definitionsof Cartesian product, composition, union and join for two L-graphs, which aregeneralization of the corresponding operations in graph, and the necessary conditionsthat a partial L-subgraph of these operations can be obtained by the same operationfor some partial L-subgraph of the given two L-graphs are investigated.

本章定义了两个L-图的笛卡尔积运算、合成运算、并运算和联运算(它们是图中相应运算的推广)，并研究了这些运算的部分L-子图可以由这两个L-图的部分L-子图通过相应的运算生成所需要的条件。

The Laplace matrix is an active and important subject in Algebra Graph Theory. It is a discrete form of the Laplace operator on the compact Rimannian manifold acting on the graphs. It has been widely used in many fields such as Physics, Chemistry, Biology, Computer net science and Information theory ,etc. Some results on the Laplace matrix are given in this thesis.

本文主要研究了代数图论中的一个课题：单圈图的Laplace谱，它是黎曼流形上的拉普拉斯算子在图上的离散形式，Laplace矩阵在物理、化学、生物和计算机通信网络研究等学科中有着广泛的应用。

A new small target detection method based on energy accumulation and morphology top-hat operator is presented for solving detection of moving small target with low SNR in infrared image sequence.

针对红外序列图象中运动弱小目标的检测问题，提出了一种基于能量累积与Top Hat算子的小目标检测方法。

The half scenery search method and the maximum superiority search method developed for searching ideal AND/OR graphs can be extended to searching ideal non-AND/OR graphs containing SUB and COM operators, and the maximum reliability search method for searching ideal AND/OR graphs is applicable to the non-ideal AND/OR graphs containing circuit structures.

建立在理想AND/OR图上的半景搜索法和最大优势搜索法可以推广到包含SUB和COM算子的理想非AND/OR图的搜索，而最大超越搜索法则可推广到包含回路结构的非理想AND/OR图的搜索。

Corresponding to some application problems,other practical advanced schemes are presented,such as,combining compression with filter operators,utilizing image sequences and replacing original image with featural pictures.

然后，针对一些应用问题，进一步讨论了改进压缩比的若干方法，包括与滤波算子的结合、图像序列的利用以及用特征图来代替原图。

U(4) algebra is very suitable to describe triatomic molecules, for their Fermi interaction can be described by using nondiagonal matrix elements of Majorana operator.

在研究多原子分子的李代数方法中，尤以U(4)代数适合描述三原子分子，这不仅仅是因为U(4)代数完全描述的是三维情形，物理图象更加清晰直观，而且，U(4)代数的Fermi相互作用可以由Majorana算子的非对角元素给出，不需要再引进另外一个代数。

As 3D data fields are discrete, the color composition is performed in the "over" operator recurrently.

在数据场的离散化操作中，色彩合成运算均是基于图象合成中over算子的迭代运算。

After convolving the image model with the edge detection operators of second derivative model, a plane fitting in the least squares sense is used to detect the zero crossing points as edge points.

使用二阶导数型边缘检测算子对图象模型进行卷积后，用均方误差最小的准则对卷积后的图象进行平面拟合，并求出零交点作为图象的边缘点。

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。