多峰

Optimal algorithm of combined nonlinear Hopfield network appears powerful validity in solving nonlinear planning, which includes nonlinear objective function, linear constrains and high-demension of decision-making variants, for its ability of nonlinear parallel computation. It is prominent among optimal algorithms because of its function of simply implement with electrocircuit hardware. Genetic algorithm is expressly suitable for optimal calculation regarding the planning of massive, highly nonlinear, inconsecutively differentiable and multiobjective function as well as objective function without analytical expression. However, it inclines to prematurity, as well as its limitation in ability of partial optimal search. Introducing the optimal algorithm of niche genetic simulated annealing to standard Genetic algorithm, can therefore improve the full-scale or partial search ability of Genetic algorithm effectively. It has a far-flung perspective in the field of systemic planning of water pollution control.

组合式非线性Hopfield网络优化算法所具有的非线性大规模并行计算能力在求解具有非线性目标函数、线性约束条件及高维决策变量的非线性规划问题方面显示出了强大的生命力，它易于电路硬件实现的功能更是在优化算法中独树一帜；遗传算法采用概率搜索技术，不受目标函数与约束条件的限制，特别适合大规模、高度非线性的不连续可微的多峰目标函数及无解析表达式的目标函数的规划问题的优化计算，但其存在容易早熟、局部寻优能力较差等缺点，本文在标准遗传算法中引入小生境技术及模拟退火算法有效地改善遗传算法的全局和局部搜索性能，提高了全局最优解的寻优质量，小生境遗传退火模拟优化算法在水污染控制系统规划中的应用前景极为广阔。

However, the high inverse size classes'number makes inversion results more instable. In order to overcome the instability, two new inverse algorithms (Smooth Chahine and Smooth No-negative Projection) are proposed.

模拟和实测表明使用这两种算法在不改变激光粒度仪的原有结构情况下，就可大大提高仪器的精度和分辨能力：在颗粒多峰分布的情况下精度提高2倍以上。

Samples in transitions of filters are optimized, which solves the problem that values obtained by look-up table method are not optimums. Aiming at prematureness appearing easily when GQA is used to optimize continuous functions with many peaks, IGQA is proposed.

针对遗传量子算法在优化连续多峰函数时易出现早熟的问题，提出一种改进遗传量子算法，典型函数测试表明，IGQA的性能优于GQA和其它几种遗传算法，收敛速度快，全局寻优能力强，能有效地克服早熟现象。

The new Stretching-Niche PSO algorithm could resolve the disadvantage of standard Niche PSO that the local best of value depends on the number of sub-swarms and easily has the problem of iteration and pretermission.

该算法解决了标准的NichePSO算法在处理多峰函数时，极值点的个数依赖于子群体个数及极值点容易出现重复、遗漏等问题。

A test model of four co-rotating disks was developed as the simplified version of a typical internal cooling system of a gas turbine compressor. The investigation was on the distribution of local heat transfer coefficient and the averaged nusselt number of the downstream main disk. Experimental analysis may lead to following conclusions: the distribution is not of monotony and multi-peaks were found along the disk surface,Nu increases with the decrease of the rotational reynold number Re(subscript w,Nu increases with the axial reynold number and the grasholf number.

针对航空发动机多级压气机盘腔的冷却问题，对具有轴向通流的三腔模型进行了系统的研究，通过对局部换热特性与平均换热特性的分析，可以表征旋转盘的热应力水平和相对冷却效果，结果表明表征旋转盘热应力水平的局部换热特性在旋转盘的半径上呈多峰分布，表征相对冷却效果的平均换热特性与旋转雷诺数Re、进气雷诺数Re以及格拉晓夫数Gr有关，当Re及Gr增加时，平均努塞尔数Nu随之增加，而Re的增加使之减小。

I present cluster schema for combinatorial problem with clustering, design a new crossover operator cluster crossover, study the survival probability of c-schema under c-crossover, apply it successfully to graph coloring, load balancing and maximum spanning tree problems: give measurements of diversity in GA, set up varying crossover probability algorithms to maintain diversity, obtain good results when apply it in avoiding premature convergence and multi-modal functions optimization; establish GAC to be suitable for non stationary function, it can explore the change of environment and find the best solution even for some"anomalous"function.

针对聚类组合优化问题提出了聚类模式，设计了一种新的交换操作：聚类交换并研究了聚类模式在聚类交换操作下的生存可能性，成功的将聚类交换思想和算子应用于图着色、负载平衡和最大生成树问题，佐证了类理论，表明类理论可以指导新的应用算法设计；给出了GA中多样性的度量标准和维护多样性的动态交换概率算法，用于避免过早收敛和多峰函数优化，取得了较好的结果；构造了维持种群多样性以适应动态环境的方法GAC，在某些现有方法无能为力的问题上，GAC能够探测到环境变化，找到当前最优解。

This probability density function has a symmetric property and a multi-peak property.

本文讨论了基线位置参数固定解的概率密度函数，这个概率密度函数具有对称性和多峰性。

According to the Doppler effect, the multi-peak H(subscript α) spectra is obtained, which are emitted by the neutral beam and separated from the unshifted H(subscript α).

根据多普勒效应，中性束中的氢粒子发出的H波长偏离本底的H波长，波长偏移量与氢粒子的能量相关，从而在光谱仪上得到多峰H谱线。

To aim at parameter estimation of signal to noise ratio and high variance in low SNR based on time frequency distribution, this paper proposed a novel algorithm based on multimodal particle swarm optimization.

针对基于时频分布的参数估计存在信噪比阈值和低信噪比下方差大的问题，提出了一种基于多峰优化粒子群算法的跳频信号参数估计新算法。

For complex multi-peaks function with high dimensions, the classical PSOA has some serious disadvantages such as slow convergence and weak ability of local search.

在求解高维空间中复杂多峰函数的优化问题时，传统的粒子群算法在收敛速度和局部搜索能力等方面表现出严重不足。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。