多值函数

Based on much resolutional analysis wavelet threshold de-noising method ,an improved threshold function is proposed. it overcomes the shortcomings of the hard threshold with discontinuous function ang solves the problem of the permanent bias in soft threshold function,and it is more elastic than the soft threshold and hard threshold function.

在多分辨分析小波阈值去噪的基础上，采用了一种改进的阈值函数，克服了硬阈值函数不连续的缺点，解决了软阈值函数中存在的恒定偏差，并且具有软硬阈值函数不可比拟的灵活性。

The characteristic expression of multi-value function by using Riemann surfaces is discussed, and the mapping from s-plane into w-plane is also analyzed. Then the relations between pole distribution of fractional-order systems and time-domain response are provided.

本文通过分析多值函数特性在黎曼平面中的表达以及，s-平面与w-平面的映射关系，给出了分数阶线性定常系统极点分布与时域响应的定性关系。

In chapter 1, the achievement on multiple-valued logic at home andabroad is introduced briefly. In chapter 2, some decisions for theminimal covering of the regular separable sets in partialmultiple-valued logic is studied under the condition of σ=e andm=2 . We reach some conclusions that certain regular separable setsmustn't be the minimal covering of Pk under some conditions.

第一章，简要介绍了国内外在多值逻辑方面的研究成果；第二章，对部分多值逻辑中，当σ=e时，二元正则可离函数集最小覆盖之判定作了研究，并得出了当σ=e时，一些满足一定条件的二元正则可离函数集不是Pk 之最小覆盖成员的结论。

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。

Introducing single valued and multivalued functions properly in the 2+1 dimensional variable separation solutions,we derive various semifolded solitary waves such as bell-like semifolded soliton,compaction-like semifolded soliton and peakon-like semifolded solitons,et al.

在2+1维分离变量解中引入多值函数和不同单值函数，得到了多种半折叠孤波激发，如钟状半折叠圈孤子、Compacton半折叠圈孤子、Peakon半折叠圈孤子等。

Is a many-valued function of x which is a collection of single-valued functions called branches.

是一个x的多值函数，其中x是一个包含了branch的集合，而branch是一单值函数。

The properties and expression of knowledge are discussed in brief and binary and multiple truth expression and inference of knowledge are studied focally. The neural networks which can realized the three valued logic are overviewed. The new idea of uncertain inference based on three valued logic is proposed for the first time The models of neural logic, which can realize three valued logic and uncertain three valued logic inference are proposed, too. The learning algorithm of coefficient of MVL's function based on the canonical realization of MVL network is investigated for the first time and the appropriate algorithm is proposed.

4简要地论述了知识的特征及其表现形式，重点研究了知识的真值二值和多值表示法以及基于知识真值表示法的逻辑推理；通过对目前可实现三值逻辑推理的逻辑神经元及其网络的简要回顾，指出了各自的局限性，首次提出了基于三值逻辑的不定性推理的新概念以及可实现三值逻辑和三值逻辑不定性推理的逻辑神经元模型，同时对基于这种逻辑神经元模型的推理系统的应用领域进行了探索性尝试；另外，首次对基于多值逻辑网络正规实现的多值逻辑函数的系数参数的学习算法进行了研究，并提出了相应的学习算法。

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 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。

The analysis for the relationship between the balance of quadricphase oversampled chaotic map sequence and sequence length and oversampled parameter p was given by using this function.

针对平衡度函数只能考察二值序列平衡性的问题，提出了可以考察多值序列平衡性的序列最大平衡差函数，利用该函数分析了四相OSCM序列平衡性分别与序列长度和过抽样参数p的关系。

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At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。