函数

Based on the characteristics of CMAC neural network and fuzzy control,the novel controller of fuzzy CMAC neural network that reflects the fuzziness and continuity of human cerebella is discussed.

针对 CMAC神经网络和模糊控制的特性，给出了一种能反映人脑认知的模糊性和连续性的模糊 CMAC神经网络控制器，该控制器采用高斯函数作为模糊隶属函数，利用神经网络实现模糊推理并可对隶属函数进行实时调整，从而使其具有学习和自适应能力。

Embedding the gradient direction search and new kinds of evaluation functions into the Genetic Algorithm, a special hybrid Genetic Algorithm with mutation along the weighted gradient direction to solve non-linear programming problems is developed. Then in Chapt 4, a type of nonlinear programming problems with fuzzy objective and fuzzy resources constraints is discussed, in which the objective is ill-defined and the resources possess two different types of fuzzy resources, i. e., tolerance and imprecision. By way of description and formulation of fuzzy objective and fuzzy resources, the problem with fuzzy objective and two different types of fuzzy resources is modelled into a fuzzy nonlinear programming model FO/RNLP and interpreted as three equivalent alternative crisp model to reflect the variety of the environment and the subjective and preference of the decision maker .

本文首先针对遗传算法在求解非线性规划问题中存在的问题，首次提出非可行点／染色体的主导准可行方向，准可行方向，及非可行点属于可行域的可行度等新概念，借助于模糊思想，提出了描述和度量非可行染色体的新方法；通过嵌入非可行染色体的信息于评价函数中，提出了三种新的评价非可行染色体的评价函数；把传统的启发式方法-梯度方向搜索和新的评价函数嵌入到遗传算法中，提出了一种沿加权梯度方向变异的新型混合式遗传算法；第四章针对生产实际中非清晰定义的模糊目标和两种类型的模糊资源，建立了一类连续型模糊目标／资源约束非线性规划问题的模型FO／RNLP。

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。

An improved TennenGrad criterion function and an improved Laplace criterion function are proposed for microscopic coarse autofocusing, which use Sobel operators and Laplacian operators to convolve and add together the absolute values of matrix pixels for a image.

提出了使用Sobel算子或Laplace算子做卷积，对图像像素点进行绝对值相加的TennenGrad改进算法，以及La-place改进算法，和几种已有评价函数进行分析比较。为了判断粗调评价函数的优劣，对评价函数的判断准则进行了逐一分析，并且将平滑性、高效率、强壮性作为最主要的衡量标准。

Because constructing the fuzzy function is aim at every target of financial risk dividedly, the fuzzy function constructed has target and is a quantitative member belongs to [0,1]. Thus the constructing of function has more objective, and better reflect the unified target .

因为构造出的模糊函数是分别针对金融风险的每一个目标的，这样构造出的模糊函数带有目标性，且是[0，1]区间的一个量化数，这样函数的构造就比较有针对性，且更好地反映了目标化的统一。

How to calculate precisely the circumstance function matrix for the gimbaled system is lucubrated. The method of using exterior data and the method of calculating iteratively are put forward. The simulation result shows that two methods can increase the calculating accuracy of the circumstance function matrix.

讨论了平台式系统环境函数矩阵的精确计算问题，提出了利用外测数据与应用迭代技术精确计算环境函数矩阵的方法，仿真计算表明，这两种方法能够有效提高环境函数的计算精度。

This threshold function has not only overcome incontinuous disadvantage of the hard threshold function, but also solved constant deviation which exists in the soft threshold function, meanwhile the new function needn't selecting parameters.

该阈值函数克服了硬阈值函数值不连续的问题和软阈值函数存在恒定偏差的问题，同时新函数不需要进行参数选择。

In the incontinuous cutting, the wave shape of milling can be looked as periodic function. When the milling wave shape with single-tooth was looked as impulse function, by the Fourier Transform, we can find out that it is composed of sine wave with a given frequency and a series of integer multiple frequency. Discussing on the power function is a major tache for studying on the cutting capability of the complex three-dimension groove milling inserts, so to know the facts that affect the single-tooth milling spectral value, and to observe the dynamic milling wave property from the composition of the power spectral, thus we can design and optimize grooves.

在断续切削中，铣削波形可被看作周期函数，将单齿铣削波形看成为脉冲函数，经过傅立叶变换，可以表示为一个按特定的基本频率变动的正弦波形的分量和许多个按基本频率的整数倍而变动的正弦波形的分量叠加而成，讨论所获得的频谱函数，是研究三维复杂槽型铣刀片切削性能的主要环节，以便了解影响单齿铣削波形幅值谱图的各种因素，并从功率谱图的组成情况来考察动态铣削波形的特性，从而进行槽型的设计和优选。

The study of diatomic molecular potential energy function is the basic problem because diatomic potentials depend on only a single variable, the interatomic distance.

由于双原子分子的势能仅是原子核间距的函数，因此双原子分子势能函数是势能函数研究的基础问题。

In (1), the nonlinear function f is a known nonlinear continuous function of x , and the control gain g is a known nonlinear continuous and locally invertible function of x .

在（1）中， f是一个关于已知的非线性连续函数 x 的非线性函数，控制增益 g是关于 x 的已知的连续非线性的函数。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。