集合函数

The relation of distribution function set with catalyst performance and preparation has been established.

在上述基础上探讨了应用分布函数集合设计催化剂的新方法。

When wepossess information about the values of a Copula at points in its domain of definition,the bounds can often be narrowed.

本文证明了由Copula及其生存、对偶和伴随Copula组成的集合在函数的复合运算下构成了Klein四元群，求解了群中元素的界以及它们在某个点处的函数值给定时的界。

Hint: The only tricky part is what to return from run_query if the line number set is empty.

提示：唯一棘手的是 run_query 函数在行号集合 set 为空时应返回什么值？

The experimental results show that the distribution founction p of the whole signal group and the different pulse width subsets all fit the lognormal distribution with very high precision in the amplitude's field of definition (V0,VM) under the condition of the big samples, which indicates that the random signal group has the statistical fractal (self-similarity) characteristic.

实验数据表明，在大样本条件下，脉冲信号集合整体及不同脉宽信号子集的p 函数在幅度定义域(V0，VM)内均以很高的精度满足对数正态分布形式，即该随机脉冲信号群具有统计分形特征。

Membership function is the key point for fuzzy sets theory and its application.

隶属函数是模糊集合理论及其应用的基本而关键的问题。

The general solution of the given equation is consequently the collection of the function that satisfies the equation .

因此，给定方程的通解为满足这个方程函数的集合。

The main advantages of EGGLE include:the fixed neighborhood parameter k,only one time for constructing neighborhood graph and geodesic distance matrix,only needing to choose generalized Gaussian functions many times for constructing many Laplacian matrixes,obtaining multiple independent low-dimensional coordinate sets, independently training multiple classifiers,and combining classification results of these component classifiers to produce the final identification.

3提出了一种基于GGLE的集成判别算法，该算法的主要优点是：近邻参数k固定，邻接矩阵和测地线距离矩阵都只构造一次，只需要多次选择广义高斯型函数构造多个拉普拉斯矩阵，获取多个独立的低维空间坐标集合，独立学习分类器，集成分类识别。

Because the genetic algorithms could search the optimization of objective function randomly, which via the evolution of groups, our work is based on the embedding/detecting way of "DWT-Based Audio Watermarking Using Support Vector Regression and Subsampling". And this method provides a preliminary discussion on the application of GA, which searching the individual with the highest fitness of attack-resistance in the aggregate of the optimal embedding strength. As an optimization solution of obtaining the optimal embedding strength, it could achieve an adaptive policy, and find a reasonable balance between the robustness and inaudibility of the watermark, just for the better robustness and inaudibility in the algorithm.

遗传算法是通过群体进化来随机搜索目标函数的最优化问题，对于前述基于支持向量回归机的小波域数字音频盲水印算法，进一步地探讨采用遗传算在嵌入强度集合中搜索对抗攻击能力适应度较高的个体，从而得到最佳嵌入强度的一个优化方案，以实现自适应策略，也使本算法能在水印的鲁棒性和不可感知性之间寻找到合理的平衡点，从而具有更良好透明性和鲁棒性。

The course content links up always background mathematics course for nine years, have eight chapter in all, include the set, real number, multinomial, dividing into type and irrational expression, function, figure, trigonometric function, against such chapters as trigonometric function and complex number, etc..

课程内容衔接九年一贯基础数学课程，共有八章，包含集合与实数、多项式、分式与无理式、函数及图形、三角函数、反三角函数及复数等章节。

In section four, we consider a normal π-subgroup in π-separable group, a normal set and a complex value class function space defined on G, using the B_π-character theory and character-triple isomorphism, and find a classical basis of this space such that it behaves as the set of irreducible Brauer characters, and satisfies the Fong-Swan property.

在第四节中我们考虑了π-可分群G中的一个正规π-子群，以及定义在G上的一个正规集和它上面的一个复值类函数空间，利用B_π-特征标理论和特征三元组同构，我们找到了这个空间的一个经典基，使得这个基具有类似于不可约Brauer特征标的集合的性质，并且满足Fong-Swan性质。

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。