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On Some Conclusions of the Isomorph ic Problem of L￣p Space and l￣q Space;2. A Proof of the Isomorph ism Theorem Between C_B-Algebra and Lu3-Algebra;3. Based on the BCK algebra homomorphism and isomorph, product is introduced and some qualities are given.

在BCK代数的同态同构基本定理基础上，引进了乘积并给出了它的性质，由此又进一步得到了关于模糊带算BCK代数乘积的同构定理，从而使模糊带算BCK代数的讨论更加深入。

This dissertation proves that the class of monotone increase functions is PAC solvable while the class of single peak functions is non-PAC solvable under a GA with reproduction and a mutation operator which mutate according to a pre-set order.

本文提出了概率意义上近似收敛可解的概念，并证明了随机行走和狄拉克δ函数都是非PAC可解的，证明了任何问题在只有杂交算符或变异算符的遗传算法下都是非PAC可解的。

Based on which then digesting and absorbing, we should develop the effective dynamic simulation software based on Spatial Operator Algebra,for the sake of providing effective simulation software for the elecmechanical project sphere of

0算法的程序实现，本文在Mathemati.a环境下编制了链式多体系统空间算子代数符号分析程序，并用其推导了若干算例动力学方程的显示表达；此外，本文还在Delphi环境下编制了链式多体系统正反向动力学数值分析软件。

The Paper introduces prepotency and variance operator and new individuals , so the arithmetic a-voids premature and improves convergent speed and capability .

在遗传算法中引入了优生算子，变异算子和新个体，避免了局部早熟，提高了收敛速度和全局收敛能力。

In this paper, we study the iteration method approximating zero points of m-accretive operators in reflexive Banach space. The strong convergence of the revised method is proved. These results extend and improve corresponding results of others.

文章在自反Banach空间中研究了m-增生算子的零点迭代逼近问题，证明了修正的迭代算法强收敛到m-增生算子A的一个零点，此结果推广和改进了一些相关结论。

The framework of the spectral theory for infinite dimensional Hamiltonian operators is construted in this project, and the relationship between semigroups of the operators and the spectral properties of the operators is found out, which is the basis of extending the separation of the variables method.

中文摘要：本项目建立了无穷维Hamilton算子的谱理论框架，揭示了其谱分布情况以及算子半群的联系，为拓宽分离变量法的应用范围提供了理论基础。

Therefore, it's natural to estimate those values of operators such as 〓, log mf and so on in order to investigate the weighted inequalities for the minimal operator We discuss them under two conditions respectively: In one-weight case, we establish the relative weighted inequalities under the condition of A〓-weight and A〓-weight respectively, and the equivalent condition has been found between the strong -type weighted inequality and the property of W〓-weight; while in the case of two-weight condition, we characterize the equivalent relations between the weak type weighted inequality and the property of W〓-weight, the strong -type weighted inequality and the property of W〓-weight.

我们分两种情况分别加以讨论：单权情况下，我们分别刻画了A∞权和A〓权条件下关于〓，log mf等的强型加权不等式，并证明了关于鞅的极小算子的强型加权不等式与对应的W〓权性质之间的某些等价关系；在双权情况下，我们刻画了关于极小算子的弱型加权不等式与W〓权以及强型加权不等式与W〓权之间的等价关系。

This paper studies the invariant, which is the linear preserving problem based on generalized inverse of matrices. The generalized inverse of matrices and the research status of preserving problems of generalized inverse are outlined. In the basis of deeply understanding the basic knowledge of linear maps, the definition, characteristics of generalized inverse and decomposition of matrix, the author analyzes the decomposition form of preserving idempotence and preserving tripotence in the PID, then studies on the linear maps form of preserving group inverses of symmetric matrices.

本文研究的不变量是矩阵广义逆线性算子的保持问题，概述了广义逆矩阵，广义逆保持问题的研究现状，在对线性映射的基础知识，广义逆矩阵的定义、性质和矩阵的分解深入理解的基础上，深入分析了保幂等、保立方幂等矩阵在主理想整环上的分解形式，继而研究了保对称矩阵群逆的线性算子形式。

According to the testing deflection basins measured using Falling Weight Deflectometer of semi-rigid pavement on the experiment pavement, the structure layer moduli of asphalt pavement is backcalculated according to the principle of system identification method.

利用落锤式弯沉仪在实验路段的实测弯沉数据，采用系统识别方法对沥青路面结构层模量进行了反算，进而分析了沥青路面弯沉及反算模量与其代表温度之间的相关关系，并建立了相应的温度修正公式。

Secondly,proposed an new scheme that the double population genetic algorithm used the self-adaptable crossover operator and mutation operator according to the shortage of early convergence and stagnation in the traditional double population genetic algorithm based on unconvertible rate of crossover operator and mutation operator.

摘 要：介绍了图像关联规则的相关概念，描述了传统的双种群遗传算法的执行过程；针对采用固定染色体交叉概率和染色体变异概率容易出现早熟、收敛速度较慢等问题，设计出了能自适应调整的染色体交叉算子和变异算子。

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。