Certain operators of fractional calculus and their applications to differential equations

In many recent works, one can find remarkable demonstrations of the usefulness of certain fractional calculus operators in the derivation of (explicit) particular solutions of a number of linear ordinary and partial differential equations of the second and higher orders. Our main objective in the present sequel to these earlier works, is to show how readily and systematically some recent contributions on this subject, involving linear ordinary and partial differential equations of order , can be obtained (in a unified manner) by suitably appealing to some general theorems on (explicit) particular solutions of a certain family of linear ordinary fractional differintegral equations.     

基于仿真和正交试验的优化调度研究

针对生产系统多点协调调度问题,提出了一种基于仿真和正交试验的优化调度方法。在动态生产环境中,为了支持快速仿真调度分析,以模型元素和控制逻辑分离的原则为指导,采用面向对象方法,实现了基于模块化控制逻辑的快速仿真建模。以仿真模型作为系统目标求解函数,各种决策参数作为系统输入变量,通过正交试验优化仿真实验,确定最佳调度决策参数组合,将其应用于生产系统的调度控制。以某研究所的数控车间为例,验证了该调度方法的可行性和有效性。     

定粒配茧生丝的茧丝周期丝长分布的解析(Ⅲ)

本文讨论了在定粒缫丝工程中采用配茧缫丝法缫丝时，原料茧的落绪部位分布是L型或J型的条件下，生丝上的茧丝周期丝长分布的解析结果，通过计算机模拟试验对此理论结果进行了误差分析。讨论了落绪部位分布的概率论结构问题。     

遗传算法的改进及其在各向异性介质参数反演中的应用

目前，常规的遗传算法对变异进程不能实行控制，当变异概率取得较大时，就会以极大的几率使种群中很多成员出现退化的现象，从而使遗传算法变得象蒙特卡洛方法那样，把大量的计算工作浪费在无意义的空间部分，其结果使常规遗传算法不得不采用很小的变异概率。这样做的结果显然不利于算法作全局搜索，存在易陷于局部极值的缺陷。为在扩大模型空间的搜索范围和保持种群多样性的同时，又能对变异过程进行控制，通过引入Metropolis抽样准则，提出了一种改进的遗传算法。同常规算法相比，改进算法更有利于作全局搜索，具有改善遗传算法全局收敛性的效果。针对正交各向异性介质模型，用改性的遗传算法进行了各向异性多参数反演工作，以说明新方法在处理这样高度非线性最优化问题时的处理效果。     

变截面型材轧制过程的规则式专家控制算法

针对变截面型材轧制过程控制系统的复杂性和不确定性，提出了一种规则式专家控制算法，该算法基于比例模式、保持模式及极值判断法，采用模式识别技术对系统动态特征进行在线识别、推理，再通过模式匹配选取控制策略，实现对被控对象的多模态转换控制和开闭环结合控制．该控制算法不需要被控对象精确的数学模型，即能得到高性能的控制品质．     

φ8800mm焦炭塔的焊后整体热处理

介绍了直径8800mm的两台焦炭塔采取燃油法焊后整体热处理的工艺系统及热处理过程,各项 数据表明,整体热处理效果良好,完全符合设计要求。     

基于模板的关联规则挖掘算法

借用粗糙集理论中α-约简的概念,提出了一种新的基于模板的启发式关联规则挖掘算法.在已获得模板T和原信息表的基础上创建一张新的决策表,先将组成模板的描述子的知识量作为启发函数,知识量大的描述子优先成为候选α-约简集中的元素,再对候选α-约简集中的元素进行计数,从而选择满足阈值的约筒集作为最终的近似最短α-约简,即通过启发式算法求描述子集的近似最短α-约简来获取近似最优强关联规则,并以示例验证了该算法.     

The Pole Term in Linear Response Theory: An Example From the Transverse Response of the Electron Gas

In linear response theory, the dielectric response at zero frequency sometimes appears to violate the f-sum rule, which has apparent implications for causality. Here, we study the origin of this apparent discrepancy, focusing on Lindhard’s formula for the transverse response of the electron gas. At non-zero frequency, first-order poles contribute to the imaginary part of the dielectric function in the usual way. At zero frequency, second-order poles contribute in a way which forces a careful consideration of the notation of summation and integration to avoid an error. A compact formula for the contribution of the second-order poles is presented. The sense in which the f-sum rule is satisfied is discussed.     

Numerical and analytical study on deep biaxial bending collapse of thin-walled beams

The objective of the paper is to get a fundamental understanding of large rotation response of thin-walled prismatic beams subjected to biaxial bending. Square and rectangular section beams were subjected to a cantilever bending with hinge rotation up to 40°. A general purpose nonlinear FE code PAM-CRASH was used to generate results. Altogether 94 computer runs were made by changing aspect ratio, condition of the loading and bending plane with respect to principal inertia axes of the cross section. The main emphasis was placed on the determination of initial and subsequent yield loci. It was also shown that the direction of the vector of generalized strain rates obeys the normality rule. Calculated in the paper was also a critical angle defining a preferable direction of bending. The present finding can be used to better interpret results of FE calculation of automotive bodies and to develop simplified crash-oriented design tools.     

考夫曼法采观今论

围绕审知法采的连系性，考夫曼将演绎、归纳、骈推与比类连成体系。其中，演绎为仆，比类是首脑，归纳辅佐，骈推守护清白。演绎在审判训疏与说服总系统中是协和元。考夫曼归纳观的归宿是对旧的律意说服的重新组织。其创新点是说服的三阶式。他的贡献是以逻辑组织连系骈推与演绎。考夫曼认为，法采进程的本质不是逻辑推合，而是比较。律令的颁布与司法中逻辑组织的相似性在于其比类基础。考察了考夫曼比较点的选择后显示，不可抹煞两领域之间的红线。认为考夫曼的重大贡献是将比类引入审判陈说的总组织，它是原省、衡议后的第三元。在论述的基础上，为比类设定了两则对行的准法。