解空间

Our algorithm contains two steps: firstly, a small number of dependence tests are initiated to restrict the feasible search space and reduce calculation complexity; then, in order to ensure accuracy, a MDL metric search in "Delta Form" boosts time performance and efficiency of BN learning.

首先，通过小运算量的独立性测试获取系统结构信息，限制可行解搜索空间，降低了BN学习算法的计算复杂度；然后，采用基于MDL理论的BN学习算法对出现"德尔塔"的局部进行搜索和MDL评分，在充分保证结果精度的前提下，提高了算法的时间性能。

Also, calculate the distance of a line, calculate the mid point of a line, calculate the mid point of an arc, convert radians to degrees and vice versa, send characters to the AutoCAD command prompt, add single and multiple-line text to a drawing, add a new layer, calculate the slope and angle of a line, switch to model and paper space, check for existence of a block, see if a block has attributes, search and replace block attributes/single-line text/multiple-line text, count/erase/highlight/de-highlight specified number of a specified object, etc, etc. Doing each function with straight Visual Basic would require several lines of code, but with CAD.OCX only a minimal amount of code is required!

此外，计算出的距离为限，计算中的点线，计算中点的一个弧形的，转换成弧度，以度，反之亦然，送字给AutoCAD命令提示中，增加了单剂量和多行文本，一绘画中，增加一个新层，计算出坡度和角度的一条线，开关，以模型和图纸空间，检查是否存在著一个座，看有没有座了属性，搜索和替换块属性/单线text/multiple-行文本，计数/擦除/高/解突出指定数量的指定对象，等，等做了每个函数与直Visual Basic中，将需要几行代码，但与cad.ocx只有极小量的代码需要！

The abstract result contains several concrete results in the literature and can also be used to deal with some new cases for resonant differential equations.In the introduction, we briefly introduce the development process of the variational methods. In Chapter 2, we list some basic knowledges refering to the variational methods, including the Sobobev space,—△ operator, the weak solution and the minimizing sequence methods and some minimax theorems. In Chapter 3, we introduce the research process of Hamiltonian system of second order and the semilinear elliptic problems, using the methods introduced previously. In Chapter 4, we prove the main theorem of the thesis, and apply it to the problems in the previous Chapter, and can also be applied to some new resonant cases.

在前言中，简要介绍了变分法的产生、发展过程，在第二章中我们介绍了有关变分法的一些基本知识，包括Sobolev空间，—△算子，弱解，极小化序列方法和一些极小极大定理，在第三章中我们介绍了非线性项有界或满足次线性条件，以及它满足推广的Ahmad-Lazer-Paul条件时，二阶Hamiltonian系统和半线性椭圆问题的研究历程，最后在第四章中我们证明了本论文的主要定理，并把它应用到第三章的问题中，使得前面的几种共振的情形都可以统一到这个抽象的结果中。

In this paper, an algorithm based on heuristic function for minimum set covering problem is presented, as well as the definition of complete strategy concept and the method to structure heuristic function.

本文给出了求解NP困难问题的完备策略的概念，在此基础上提出了一个求解集合覆盖问题的启发函数算法SCHF（set－coveringheuristicfunction），文中对该算法的合理性、时间复杂性以及解的精度进行了分析，本文的主要创新点是用已知的完备策略建立启发函数，并用该启发函数进行空间搜索求出优化解。

The mathematical model can work out the minimum zone solution of the cylindricity error with arbitrary position in space, and there are no special requirements in choosing measurement points.

所建立的目标函数基于圆柱度误差最小区域定义，可以评定空间任意位置圆柱度误差的最小区域解，对测点无特殊要求。

For solving this nonideal problem, the orthogonality between the directional vector and the noise subspace with the same frequency can be used to establish a cost function. After finding the appropriate solution with the minimum cost function value through different optimization methods, the LCMV algorithm can use the result to calculate the optimum weight.

为了解决这项在波束成型上的非理想问题，我们利用了宽频信号的方向向量会和同频率的杂讯子空间正交的特性[4，5]去建立一个目标函数，利用不同的最佳化方法找出适当的解，再带入LCMV演算法中算出最佳权重。

The fermionic fields rotate oppositely according to κ symmetry. The symmetry of the twisted dual is the symmetry of the moduli space.

这种对偶变换的对称性不是超弦作用量的对称性，它是解的模空间的对称性。

At present, our main result in this direction is that we have proved the topological charge of instantons in degenerate noncommutative spacetime to be an integer, i.e., to be exactly its instanton number, using ADHM construction; by the way, we have discussed the realization of conformal symmetry of the ordinaty instanton solutions on the instanton moduli space and obtained some primary result, again using ADHM construction.

目前该方面所取得的主要成果是利用ADHM构造证明了退化的非对易时空中瞬子的拓扑荷为整数，即严格等于其瞬子数；另外，顺带用ADHM构造对通常规范场论中瞬子解的共形对称性在参数空间上的实现进行了研究并取得了初步的成果。

We also study the property of global tachyon vortex as well as monopole and in the flat spacetime, the exact solutions of them are obtained.

我们研究了整体快子弦和快子单极子的性质，得到了两者在平坦空间下的精确解，发现它们是一类非常弥散的客体，其质量主要分布在核的远处，并且它们的引力效应跟通常的拓扑缺陷也很不相同。

For the monostable equation, by considering the mixing of traveling wave solutions and the solution independent of spatial variable, other new types of entire solutions are obtained.

另外，我们也利用单调动力系统理论给出了一些判断与空间变量无关的整体解存在的充分条件。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失