特殊函数

Some methods mentioned in the elementary number theory and analytic number theory are used to consider the problems which are related with the Smarandache functions, then a conjecture and an asymptotic formula are given, a special equation is solved and Smarandache-Riemann sequences are generated.

本论文基于对Smarandache问题的学习与研究，运用了初等数论与解析数论中的一些研究方法，对与Smarandache函数相关的问题进行了简单的思考，给出了一个猜想，一个渐近公式，解决了一个特殊的方程，推广了Smarandache-Riemann序列。

In Chapter 6, we show some special results on the chain rule of the BD func-tions.

第六章给出了BD函数的链式法则的几个特殊结果。

Keywords Biomedical imaging;The class of Special functions of Bounded Variation;Level set methods;Mumford–Shah functional;Minimal partition problem;Diagnostics of glaucoma diseases;Segmentation and measurement

生物医学图像处理；特殊有界变差函数空间理论；水平集方法； Mumford-Shah泛函模型；最小分割问题；青光眼诊断；视乳头图像分割与度量；卫星雷达干涉图相位解缠

The course contains four sections as follows: mathematical logic (including basic concepts of propositional logic and predicate logic, propositional calculuses and inference theories), set theory (including set algebras, relations, functions and cardinal numbers), algebraic structure (including algebraic systems, semigroups and groups, rings and fields, lattices and Boolean algebras), graph theory (including basic concepts of graph, Euler graphs and Hamiltonian graphs, trees, planar graphs and coloring graphs, some special vertex subsets and edge subsets).

本课程包含四部分内容：数理逻辑（包含命题逻辑与一阶逻辑的基本概念、等值演算以及推理理论），集合论（包含集合代数、二元关系、函数和基数），代数结构（包含代数系统、半群与群、环与域、格与布尔代数），图论（包含图的基本概念、欧拉图与哈密顿图、树、平面图及图的着色、图的某些特殊的顶点子集与边子集）。

Based on the properties of the saturation function, it was proved that the stability region of such dynamical systems can be decomposed into Cartesian product of an invariant set of their adjoint systems and a sufficiently large ball.

结合饱和函数的特殊性质，证明了此类系统的稳定域可分解为伴随系统的不变集与一个足够大球体的笛卡尔积。

The paper consists of three parts. First, we give the calculation for every order central moment for the Logistic population, mean vector and covariance matrix of the order statistic of random sample from the Logistic population, and means of several special functions for the order statistic of random sample from the Logistic population. Secondly, we discuss the parameter estimation for the Logistic population. Finally, we solve the question about the goodness-of -fit test for the Logistic population.

研究的主要内容分三部分：第一部分是关于Logistic总体各阶中心矩、样本次序统计量期望向量与协方差阵及若干个特殊的样本次序统计量函数期望的计算问题；第二部分是关于Logistic总体分布参数的估计问题；第三部分是关于Logistic总体的拟合优度检验问题。

The philosophy so typical of BMW M naturally continues into the design and configuration of the driver's "workplace": Both of these all-wheel-drive high-performance sports cars come with a special M cockpit with the instrument cluster featuring a variable pre-warning field in the rev counter, specific vehicle function displays, and white display illumination.

这样的哲学宝马典型的自然延续到的设计和驱动程序的"工作地点"的配置：所有这些轮双方驱动高性能运动具有特殊的仪器M有一个变量具有驾驶舱前的群集来车预警领域的转速表，具体车辆函数显示，白色照明显示。

Finally, as an application, the paper discusses a kind of special composite function characters.

最后，作为应用，讨论了一类特殊复合函数的性质。

In Chapter 3,we discuss theconvergence of Newton's method for nonlinear inclusion problems with values in aclosed convex cone,using the new theory developed by Wang Xinghua,we generalizeRobinson's Kantorovich theorem for this problem to a more widely function classes,inthe same time our results take Smale theorem as a special case.

在第三章，我们利用王兴华最近提出的理论框架研究在闭凸锥中取值的非线性包含问题的Newton方法，将Robinson在特殊Lipshitz条件下建立的Kantorovich型收敛性定理推广至满足中心Lipshitz条件的函数类，我们建立的一般的收敛性定理同时将Smale型收敛性定理包容其中。

In this paper, we use the Pluricomplex Green function to investigate the iterative poperties of holomorphic self-maps, which are defined on the unit disk, the unit ball, the bounded strongly convex domain and the bidisc.

基于该思路，本文就利用多复Green函数，在分别研究了单位圆、超球、有界强凸域以及双圆柱上全纯自映射迭代的基础上，进一步研究了一特殊非凸域-Hartogs三角形上全纯自映射迭代的性质。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。