集合函数

By discussing the position hypothesis of fractional-dimension derivative about general function and the formula form the hypothesis of fractional-dimension derivative about power function, the concrete equation formulas of fractional-dimension derivative, differential and integral are described distinctly further, and the difference between the fractional-dimension derivative and the fractional-order derivative are given too. Subsequently, the concrete forms of measure calculation equations of self-similar fractal obtaining by based on the definition of form in fractional-dimension calculus about general fractal measure are discussed again, and the differences with Hausdorff measure method or the covering method at present are given. By applying the measure calculation equations, the measure of self-similar fractals which include middle-third Cantor set, Koch curve, Sierpinski gasket and orthogonal cross star are calculated and analyzed.

通过讨论一般函数的分维导数的位置假设及幂函数的分维导数的形式假设，进一步明晰了幂函数的分维导数、分维微分及分维积分的具体方程形式，给出分维导数与分数阶导数的区别，随后讨论了基于一般分形测度的分维微积分形式定义导出的自相似分形的测度计算方程具体形式，给出了其与目前 Hausdorff 测度方法的区别，并对包括三分 Cantor 集合、 Koch 曲线、 Sierpinski 垫片及正交十字星形等自相似分形在内的测度进行了计算分析。

Based on the viewpoint of set and denseness,this paper discusses some characteristics of the of continuity set and differentiable function set,and the structure of differentiable function sets,and demonstrates that there does not exist a continuous functional sequence {fn} which is convergent to Dirichlet function.

从集合观点和稠密性出发，讨论了连续函数和可导点集的一些特性及可导函数点集的构造，并证明了R上不存在收敛于Dirichlet函数的连续函数列{fn

An interpretation is just the inverse of the mapping that a representation provides, that is, an interpretation is a function g from ∑* to D for some alphabet ∑ and some set D.

这个解释函数与物化函数相反，把符号串映射回信息对象。也就是，解释函数是∑*到 D 的函数 g，基于一个字母表∑和集合 D。

It introduces the basic knowledge and ideas of mathematical logic and classic set theory, including proposition logic and predicate logic, reasoning calculus and theorem proving methods, basic operations and properties of sets and relations, functions of any sets and their properties, the cardinals of infinite sets, and the applications of knowledge and ideas above in computer sciences.

本课程系统介绍数理逻辑与朴素集合论的基础知识，包括：命题逻辑和谓词逻辑、定理的推理演算和机器证明方法，集合和二元关系的基本运算和性质、任意集合中的函数及其性质，无穷集合的基数，以及上述知识在计算机科学中的应用。

In chapter three, we study the uniqueness of meromorphic function and its derivative, and obtain the following result: There exists a set S with 6(4) elements such that any nonconstant meromorphic function f and its derivative f' satisfying E=E must be identical.

在第三章中，我们讨论了涉及导函数的唯一性问题，得到了下述结果：存在一个集合 S含有 6(4)元素，对于任意一个非常数亚纯函数f 及其导函数 f'，若 E=E，则f=f'。

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。

If the reference count reaches zero, the element is removed from the set: If drop finds its element in the set, it decrements the element's reference count and the number of elements in the set.

如果该元素的引用计数器变为0，则从集合中删除该元素。+如果drop函数在集合中发现了其参数所指向的元素，便将该元素的引用计数和集合元素数减一。

The aim of the watershed transform is to search for regions of high intensity gradients that divide neighbored local minima .

能量函数定义如下：〓clique主要是一些集合点，这些集合依赖于属于clique集合C的象素正如第四章中方程4.26。

In aim at the complicity and high-dimensional state-space for the controlled system, it simplifies the calculation of geometric polytope by optimize with ellipsoidal approximate techniques, and the robust control effectiveness near to the optimal.

本论文所提示的基于几何理论的约束非线性控制算法是建立在最大输出允许集合的基础上，运用状态空间的有界子集表达鲁棒时优离散时间控制问题的价值函数，通过逆序计算该价值函数的水平集合，求得其所需的控制量，针对被控系统的复杂性及高维状态空间问题，运用椭球近似技术予以优化，使得几何多面体的计算得以简化，且鲁棒控制效果接近最优。

In order to detect the integrity of migrating instance in migrating workflows system,an immune entity composed of self-set,detector-set,r-continuous bits match detection function and vaccine gene-set is defined based on artificial immunology principle.

针对迁移工作流系统中迁移实例的完整性检测，基于人工免疫原理，构造一个由自我集合、检测器集合、r-连续位匹配函数和疫苗基因集合组成的免疫体。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。