Some Equivalence Transform Methods for Simulating Models in Control Systems

In this paper two classes of equivalence transform methods for solving ordinary differential equations are proposed. One class of method is the equivalence integral transform method for special differential algebraic problems. The advantage of this class of method is such that the amount of work calculating one integration with parameters becomes that of two interpolations, when the system of nonlinear equations is solved on the right hand side function. The other class of method is the equivalence substitution method tor avoiding calculating derivative on the right hand side function. In order to avoid calculation derivatives, two equivalence substitution methods are proposed here. The application instances of some special effect of the equivalence substitution methods are given.     

差异统一中的事物系统与唯物辩证法范畴

唯物辩证法的基本范畴是马克思唯物辩证法理论的重要组成部分,对它的理解与把握是否真实准确,直接涉及到对唯物辩证法基本规律及其理论的准确理解与把握。现有哲学教科书关于辩证法基本范畴的论说方式就明显违背唯物辩证法的本质精神,也就是脱离现实以形而上学的片面思维来论说整体系统意义上的辩证法范畴。因此,有必要立足于现实对唯物辩证法基本范畴进行更为深入的探讨。     

ON ALGEBRICO-DIFFERENTIAL EQUATIONS-SOLVING

The char-set method of polynomial equations-solving is naturally extended to the differential case which gives rise to an algorithmic method of solving arbitrary systems of algebrico-differential equations. As an illustration of the method, the Devil's Problem of Pommaret is solved in details.     

几类变系数二阶线性微分方程的解法

给出了二阶线性微分方程求通解的一般公式,并对几类变系数的二阶线性齐次微分方程化为常系数的微分方程作了详细的讨论.     

The Differential Method and the Causal Incompleteness of Programming Theory in Molecular Biology

The “DNA is a program” metaphor is still widely used in Molecular Biology and its popularization. There are good historical reasons for the use of such a metaphor or theoretical model. Yet we argue that both the metaphor and the model are essentially inadequate also from the point of view of Physics and Computer Science. Relevant work has already been done, in Biology, criticizing the programming paradigm. We will refer to empirical evidence and theoretical writings in Biology, although our arguments will be mostly based on a comparison with the use of differential methods (in Molecular Biology: a mutation or alike is observed or induced and its phenotypic consequences are observed) as applied in Computer Science and in Physics, where this fundamental tool for empirical investigation originated and acquired a well-justified status. In particular, as we will argue, the programming paradigm is not theoretically sound as a causal(as in Physics) or deductive(as in Programming) framework for relating the genome to the phenotype, in contrast to the physicalist and computational grounds that this paradigm claims to propose.

基于差分计盒维数的分形图像编码方法

提出了一种利用差分计盒维数(简称DBC,一种估计分形维数的方法)新的分形图像编码方法,该方法利用DBC来寻找一个与值域子块在分形维数上最接近而且与其差别小于某一预定阈值的定义域子块.这种方法的优点在于能够有效减少搜寻对应于某一值域子块的最佳定义域子块及最佳变换的搜索空间.     

集值随机微分包含解的存在性

应用了Bohnenblust and Karlin不动点定理来研究集值随机微分包含解的存在性,给出了研究这个问题的基本引理和定义,证明了集值随机微分包含解的存在性.并用例子验证了结果.     

基于MATLAB主变差动保护误接相序特性研究

某110 kV变电站2号主变差动保护二次相序误接,负荷电流增大时引起主变差动保护动作。运用MATLAB编程计算得到二次相序反接、正接和变压器内部故障时流入差动模块的电流向量图和变化关系图,结合继电保护及二次回路原理,进行技术分析论证,提出改进防范措施。     

点内库仑相互作用对三量子点系统输运性质的影响

本文利用非平衡格林函数运动方程方法,研究了与两个电极耦合在一起的三耦合量子点系统中,点内部的库仑关联或阻塞与点间的耦合强度对体系输运性质,即对系统微分电导和系统态密度的影响.通过理论计算发现,由于量子点上的局域态密度的不同从而导致系统微分电导或隧穿性质的不同,会开启新的Kondo输运通道,也会增强一些原有的输运通道.     

恶性肿瘤诊疗专家系统设计

常见恶性肿瘤临床诊疗专家系统(CDTES)是一个内科临床辅助诊疗骨架系统,它建立了临床通用型多疾病综合咨询推理机,构造了基于规则框架混合知识单元的树形库。它采用综合主观Bayes方法、不确定性理论(C—F理论)和模糊逻辑的一致性测度方法,实时最优问诊,建立了多疾病假设并行论证的黑板系统,实现了问诊——联想——鉴别——确诊——治疗原则的临床诊疗过程。