On the stability of cognitive processes

Summary An empirical and mathematical model for self-organization is proposed, based on elemental properties, on unique interaction and on the combination of hierarchical elements. In the model, higher elements are stabilized by the cognitive (strong) interaction of subelements, disregarding intermediate elements. This is called elementary reductionism and is illustrated by the sequence quarks-elementary particles-atoms-molecules-cells-organisms-societies. Optimal dynamic interaction of nonidentical elements is called cognitive stability. This is compared with thermodynamic equilibrium. The principal differences are outlined.     

Metabolic iteration,evolution and cognition in cellular proliferation

Summary A model for cellular proliferation is described according to which proliferation ensues when metabolism evolves towards commitment to DNA synthesis, and inhibition of proliferation occurs when enzymic interactions are iterated within a few metabolic pathways, another limiting factor being the supply of metabolites. The model successfully describes cellular growth and division as a cognitive process based on interaction within enzymic elements and the genome, and affords an explanation in these terms of some empirical phenomena which have previously been understood only as isolated observations.     

A mathematical approach to cognitive processes

Summary A mathematical formalization of cognitive processes based on concepts previously given in Experientia¹ is presented. Cognitive processes are described as a set of exponentially decaying interaction probabilities determined by previous interactions between different elements and an association parameter, the inverse of the cognitive stability. The interactions occur in a cognitive string surrounded by a cognitive plasma which carries the contextual information. The complexity of a cognitive process is proportional to time.     

树上跳过程的Dirichlet特征值的估计

Dirichlet特征值在微分方程中有很深入的研究,本文用概率的方法研究树上跳过程的Dirichlet特征值,对它进行估计,得到一个比较好的估计式:[()()]10supinf?λ≥ω∈weIωe,它在自伴算子的谱中起着非常重要的作用。     

A Formal Model for BPEL4WS Description of Web Service Composition

Communicating Sequential Processes （CSP） is a kind of process algebra, which is suitable for modeling and verifying Web service composition. This paper describes how to model Web service composition with CSP. A set of rules for translating composition constructor of Business Process Execution Language for Web Services （BPEL4WS） to CSP notations is defined. According to the rules that have been defined, the corresponding translation algorithm is designed and illustrated with examples . The methods for model checking, model verification and model simulation are also introduced.     

一种MIMO复杂过程的模糊建模新方法

针对难于建立精确数学模型的MIMO复杂过程,提出一种基于过程输入输出数据变化关系的模糊建模方法。即首先将一个MIMO系统分解成多个MISO子系统,对每一个MISO子系统按过程输出随输入变量变化的剧烈程度对输入变量论域进行划分。在此划分的基础上确定出MIMO复杂过程模糊模型的规则总数和前件参数;然后,由于要建立的模糊模型可以表示为一个前馈模糊神经网络,因此利用BP学习算法求得过程模型模型的后件参数。仿真举例验证了所述模糊建模方法的有效性。     

基于分布参数系统的耕地可持续发展问题的建模与优化

在连续时间模型的假设条件下,充分研究了农业耕地中有机物含量及微量元素含量的随机变化过程,首先借助于马尔可夫过程理论确定出转移概率密度函数,然后利用扩散随机过程理论及分布参数系统建立模型描述耕地肥力的状况,探讨了在保证耕地质量的前提下以农业生产者投资收益最大化作为目标值的最优控制问题。最后,给出了某时刻农用耕地肥力水平的预测方程。为充分发挥土地的使用价值及农业的可持续发展提供科学的依据。     

一类带干扰风险过程的有限时破产概率问题

研究一类带干扰风险过程的有限时破产概率问题，获得了有限时破产概率的依赖时间的Lundberg不等式以及Lundberg指数和破产问题中时间的关键值。建立有限时破产概率与最终破产概率之间的联系，并通过Lundberg指数和破产发生时间的“关键值”对不同模型进行比较，同时给出不同参数下破产发生时间的“关键值”的数值分析。     

企业业务流程及核心业务流程的识别

通过对企业业务流程定义的分析,抽象出企业流程的要素,提出了企业流程的形式化描述的方法,以及企业流程的基本构成要素和联系.针对企业再造失败率高的原因,分析了再造过程中核心流程识别的重要性及方法,认为企业应将再造的重点放在核心业务流程上.