Reflection of Long Game Formulas

We study game formulas the truth of which is determined by a semantical game of uncountable length. The main theme is the study of principles stating reflection of these formulas in various admissible sets. This investigation leads to two weak forms of strict-II¹₁ reflection (or ∑₁-compactness). We show that admissible sets such as H(ω₂) and L_ω2 which fail to have strict-II¹₁ reflection, may or may not, depending on set-theoretic hypotheses satisfy one or both of these weaker forms. Mathematics Subject Classification : 03C70, 03C75.     

ℙmax variations related to slaloms

We prove the iteration lemmata, which are the key lemmata to show that extensions by Pmax variations satisfy absoluteness for Π₂-statements in the structure 〈H (ω ₂), ∈, NS_{ω 1}, R 〉 for some set R of reals in L (ℝ), for the following statements: (1) The cofinality of the null ideal is ℵ₁. (2) There exists a good basis of the strong measure zero ideal. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

ANTI FUZZY VECTOR SPACES（Ⅱ）

ＡＮＴＩＦＵＺＺＹＶＥＣＴＯＲＳＰＡＣＥＳ（Ⅱ）ＣｈｅｎＹｏｎｇｎｉａｎ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＸｉｎｊｉａｎｇＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，８３００５４，Ｘｉｎｊｉａｎｇ，Ｐ．Ｒ．Ｃｈｉｎａ）ＡＮＴＩＦＵＺＺＹＶＥＣＴ...     

The convergence of the Rayleigh-Ritz Method in quantum chemistry

Two sufficient criteria for the convergence of the Rayleigh-Ritz Method (RRM) with respect to the eigenvalues (E-convergence) of non-relativistic electronic Hamiltonians of molecules are discussed and compared. Moreover, a necessary and sufficient criterion is given. By example (Sect. 9) it is shown that the L ²-completeness of the basis is not sufficient to guarantee E-convergence. The convergence of the wave functions in different norms (-convergence) is also investigated. In particular, sufficient conditions for the one-particle basis functions (orbitals) are given, such that a CI calculation in this basis is both E- and -convergent.     

模糊神经网络在石油压裂支撑剂研制中的应用

石油压裂支撑剂的研制是一项复杂有难度的技术，受到很多因素的影响。针对研制过程中各项指标具有较大模糊性的特点，应用模糊神经网络系统(FNNS)来获取各影响因素与支撑剂质量的关系模型和预测模型，从而找到原料配比、成球工艺参数、烧结温度与产品质量之间的最佳关系。     

汽车起重机箱形吊臂折臂的模糊分析方法

建立了汽车起重机起吊系统在冲击载荷作用下进行塑性动力学分析的力学模型，分析了起吊系统受冲击载荷作用时的塑性位移，提出了模糊允许塑性位移等概念，探讨了吊臂折臂的模糊分析方法。     

Picture Fuzzy Threshold Graphs with Application in Medicine Replenishment

In this study, a novel concept of picture fuzzy threshold graph (PFTG) is introduced. It has been shown that PFTGs are free from alternating 4-cycle and it can be constructed by repeatedly adding a dominating or an isolated node. Several properties about PFTGs are discussed and obtained the results that every picture fuzzy graph (PFG) is equivalent to a PFTG under certain conditions. Also, the underlying crisp graph (UCG) of PFTG is a split graph (SG), and conversely, a given SG can be applied to constitute a PFTG. A PFTG can be decomposed in a unique way and it generates three distinct fuzzy threshold graphs (FTGs). Furthermore, two important parameters i.e., picture fuzzy (PF) threshold dimension (TD) and PF partition number (PN) of PFGs are defined. Several properties on TD and PN have also been discussed. Lastly, an application of these developed results are presented in controlling medicine resources.     

具动态性能指标的医学系统自组织模糊控制

提出一个具有动态性能指标的完全脱离模型的自组织模糊逻辑控制系统.系统的性能指标由一个随机结构开始,评价规则通过一个基于自增强机制进行在线优化的微遗传算法来产生.算法对非线性麻醉过程中肌肉松弛状态的控制效果进行了验证.通过和标准自组织系统的控制效果比较,该算法的优势体现在因为自学习能力导致的控制鲁棒性上,它能够很好地处理变参数动态系统和大时滞系统的控制问题.在每轮控制中,所提出的算法都以少量模糊控制规则(最多18条)实现了控制要求.     

CO2弧焊电源动特性的模糊逻辑推理评定

ＣＯ２弧焊电源动特性的评定方法一直是焊接界未能很好解决的问题,论文中研究了用子波统计分析方法由焊接过程电信号中提取与电源动特性相关的特征信息,并在大量的实验基础上,根据实际经验研究了动特性的模糊逻辑推理评定方法,建立了模糊逻辑推理评定系统,实验证明了该评定系统的有效性。     

路面结构使用性能的模糊评估及维修策略

运用模糊数学理论,对路面结构使用性能进行了评估;在此基础上,建立了路面结构维修决策的数学模型。本文研究成果可为道路工程科学化管理奠定一定基础。