Fuzzy数空间上MS收敛与水平收敛的关系

证明了当u∈E^c,∈E,n=1,2,…时,un^MS→等价于unl→u,并指出条件。∈Ec不能减少．     

XXXIX.—The Hippoboscidæ (Diptera) recorded from Ceylon

Summary

The most profitable ways of collecting chalcids are discussed, namely by sweeping, suction sampler, beating, pyrethrum spray, rearing, Malaise traps, yellow pan traps, suction traps, pitfall traps and extraction from leaf litter or grass tussocks. Methods of preserving chalcids are also outlined, with particular emphasis on storing all unmounted material dry rather than in alcohol. The techniques of sweeping, card mounting specimens and slide preparation are described in detail.     

基于(p，q)-整数的一类新的Durrmeyer型Baskakov算子的收敛阶

文章引入了一类新的基于(p, q)-整数的Durrmeyer型Baskakov算子. 利用计算出的算子的矩量和中心矩量导出了该算子的加权逼近定理并利用二阶光滑模和Steklov平均得到算子的收敛阶.     

Research on Complementarity and Similarity of Technology Convergence北大核心CSCD

Exploring complementary technology convergence and similar technology convergence is conducive to enhancing enterprise innovation capability. This paper analyzes the impact of partner diversity on technology convergence by building a multi-layer network model of organizational cooperation and technology convergence. The research shows that the geographic diversity of partners is not conducive to the occurrence of complementary technology convergence and similar technology convergence. The technological diversity of partners is conducive to complementary technology convergence but not conducive to similar technology convergence. The relationship strength between enterprises and different types of partners has different effects on complementary technology convergence and similar technology convergence. The research results can help enterprises choose appropriate partners to achieve different innovation strategies. © 2023 Editorial Borad of Complex Systems and Complexity Science. All rights reserved.     

Galton-Watson过程中极限鞅密度函数的Lipschitz连续性

考虑上临界Galton-Watson过程中第n代粒子总数Z_n，令W表示鞅W_n=Z_n/mⁿ的极限.针对W的密度函数ω(x)的Lipschitz连续性问题，基于Kesten-Stigum定理，提出了更完善的证明方法和补充.同时进行了关于鞅极限性质的一系列讨论.首先修正了以往的证明方法，得到在δ≠1的情形下，ω(x)在［ε，∞)中是Lipschitz 连续的，阶为δ′=min(δ，1).在δ=1的时，ω(x)的Lipschitz连续性的阶为1/2，从而保证了结论的完整性.     

新线搜索下修正PRP共轭梯度法的全局收敛性及其数值结果

针对大规模非线性无约束问题,采用文献[9]提出的新型线搜索和文献[10]修正PRP公式设计一个新的算法。在适当的条件下,证明新算法具有全局收敛性。初步的数值试验结果表明,新算法是有效的,适合求解大规模非线性无约束优化问题。     

一类离散观测下非线性随机系统估计量的局部渐近正态性

研究了一类离散观测下含未知参数的非线性随机系统的渐近性问题,对似然率函数和极大似然估计量的近似值分别进行精确度分析,建立了似然率随机域来分析似然率的渐近动态特征,并借助积分中心极限定理等数学工具分析得到似然率随机域满足局部渐近正态性的充分条件,并进一步给出Berstein-Von-Mises型有界定理。     

分布式迭代随机大系统的收敛性与稳定性

本文利用李雅普诺夫函数和分解－集结法，对具有分布式结构的迭代随机大系统建立了收敛性与稳定性判据．     

平稳过程的条件概率密度非参数估计的L1－模强相合性

设｛Ｘ_Ｊ｝_（ｊ＝－∞）~∞是一个实值平稳随机过程，本文考虑了联合密度和给定过去状态的条件密度的递推估计，得到这些估计在过程｛Ｘｊ｝的各种混合条件下是Ｌ１－模强相合的。     

关于随机变量一致完全收敛性的若干定理

本文定义了随机变量的一致完全收敛性,并获得了相应的若干收敛性定理。