单值函数

Content: In this thesis, we investigate properties and coefficients maximum problem of some analytic functions in function theory, the research center is univalent function.

中文摘要：本文研究了函数论中几类解析函数族的性质和系数的最值问题，主要以单叶函数为研究对象，不仅对一些结果进行了推广，同时也获得了一些新结果。

The hash function is the very core of the fast lookup capabilities of the unordered sets: a hasher is just a Unary Function returning an std::size_t value for any given key.

散 列函数是无序集合的快速查找能力的核心：散列器就是一个可以对任意给定的键值返回一个 std：：size_t 值的单参函数对象。

With four continuity of non-additive set function and the relation of four convergences of the measurable function sequence,four forms Lebesgue theorem about measurable closed-valued functions on monotone measure space are discussed,respectively.

在经典测度论中，Lebesgue定理刻画了实值可测函数序列几乎处处收敛和依测度收敛之间的关系。1984~1986年，王震源[9]先后提出了较弱的"自连续"、"零可加"、"伪自连续"、"伪零可加"等重要概念，讨论了模糊测度空间上单值可测函数序列各种收敛之间的关系，推广了经典测度论中著名的Lebesgue定理以及其他定理。

Selecting proper single valued variable separation functions in the 2+1 variable separation solutions,we construct many types of single valued coherent soliton structures such as dromion,dromion lattice,solitoff,2-solitoff,static and kinetic breather,instanton,compacton, peakon,and so on.The interactions among these coherent localized excitations including the collisions of compaction and compacton,peakon and peakon,line soliton and y-periodic soliton,dromion and dromion,dromion and solitoff,et al,are investigated analytically and graphically,and found that can be elastic and nonelastic respectively,which reveal various exotic and important nonlinear characters and interaction properties.

在2+1维分离变量解中选择适当的的单值分离变量函数，构造了2+1维非线性波动模型多种单值相干孤子结构如Dromion，Dromion格子，Solitoff，2-Solitoff，静止和运动呼吸子、瞬子、Compacton、Peakon等；考察了一些典型的非线性激发模式间如Compacton和Compacton，Peakon和Peakon，线孤子和y-周期孤子，Dromion和Dromion，Dromion和Solitoff之间等相互作用行为，发现其相互作用可以弹性的也可以是非弹性的，揭示了多样奇异而重要的非线性特性。

Based on 2+1 dimensional variable separation solutions,introducing proper single valued and multivalued functions,abundant nonlinear single valued and multivalued localized excitation patterns especially folded solitary wave excitations are derived.

基于2+1维非线性分离变量解，选择适当的单值和多值函数，获得(来源：ABC论df文网www.abclunwen.com)了丰富的非线性单值和多值局域激发模式，特别是多值折叠孤立波激发。

This kind of problems is first changed into the model of perceptrons in neural theory, Under the assumption of a finite set of social states. a sufficient and necessary condition for single-valued choice functions to be sum-fuzzy implementable is obtained: a geometric characterization is also given: an efficient algorithm for the sumfuzzy implementation of single-valued choice func...

本文在有限社会状态集合的情形，给出了单值选择函数是和型Fuzzy可实现的一个充要条件；并给出了相关几何描述结论；借助于感知器的学习算法规则给出了单值选择函数的和型Fuzzy实现的有效算法；最后还给出了一个具体例子。

To a one-dimension case, the solution to the distribution of non-monotone function is given; to a two-dimension case, the transformation of random variable and the computation formula of its probability density are given when inverse transform has one value and multiple value, meanwhile, several deductive conclusions are obtained.

从一维与二维随机变量函数的分布的一般求法出发，对一维情形，给出了当随机变量函数非单调时其分布的求法；对二维情形，用随机变量变换的方法分别给出了当逆变换单值与多值时其分布密度的计算公式，并得到了若干推论。

The elements of each sequence in odd-periodic perfect almost binary sequence pair are "1" or "-1" with exception of a single zero element, and odd-periodic perfect almost binary sequence pair possess a perfect odd-autocorrelation function.

奇周期最佳几乎二进序列偶中2个序列中均有一个元素为"0"元素，其他元素取值均为"＋1"或"－1"，并且其奇周期自相关函数为单值脉冲函数。

The new algorithm uses the particle aggregation quality to judge that if the particles in the swarm are congregative so much,then apply the differential evolution to mutate the self prevenient best position of each particle,in order to realize the aim of preserving the varieties of the swarm.

该算法对于单调函数、严格凸或单峰函数，能在初始时很快向最优值行进，但在最优值附近收敛较慢。对于多峰函数，则更容易出现所谓&早熟&现象，即局部收敛[3]。粒子群算法出现&早熟&现象的主要原因是缺乏种群多样性。

This paper uses cubic spline interpolation function, setting up a mapping between control inputs and control outputs directly based on the data of control input-output, and receives the control algorithm of cubic spline interpolative control for single variable and two variables to separately control the first order system and second order system.

本文利用三次样条插值函数，直接由控制输入输出数据对建立了控制输入与控制输出之间的映射关系，得到了一元三次样条插值控制算法和二元双三次样条插值控制算法，二者可以分别对单输入单输出系统和双输入单输出系统进行控制。

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候，里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色，卵在发育96h后卵基本全部孵化。