Samples Selection for Artificial Neural Network Training in Preliminary Structural Design

An artificial neural network (ANN) is applied in the preliminary structural design of reticulated shells. Major efforts are made to enhance the generalization ability of networks through well-selected training samples. Number-theoretic methods (NTMs) are adopted to generate samples with low discrepancy, i.e.uniformly scattered in the domain, where discrepancy is a quantitative measurement of the uniformity. The discrepancy of the NTM-based sample set is 1/6-1/7 that of samples with equal spacing. In a case study,networks trained by NTM-based samples are compared with those trained by equal-spaced samples in generalizing performance. The results show that both the computational precision and stability of the former ANNs are more satisfactory than those of the latter. It is concluded that the flexibility of ANNs in generalizing can be effectively increased by use of uniformly distributed training samples rather than simply piling data.More reliable uniformity should be obtained, however, through NTMs instead of equal-spaced samples.     

On the Foundations of Constructive Mathematics – Especially in Relation to the Theory of Continuous Functions

We discuss the foundations of constructive mathematics, including recursive mathematics and intuitionism, in relation to classical mathematics. There are connections with the foundations of physics, due to the way in which the different branches of mathematics reflect reality. Many different axioms and their interrelationship are discussed. We show that there is a fundamental problem in BISH (Bishop’s school of constructive mathematics) with regard to its current definition of ‘continuous function’. This problem is closely related to the definition in BISH of ‘locally compact’. Possible approaches to this problem are discussed. Topology seems to be a key to understanding many issues. We offer several new simplifying axioms, which can form bridges between the various branches of constructive mathematics and classical mathematics (‘reuniting the antipodes’). We give a simplification of basic intuitionistic theory, especially with regard to so-called ‘bar induction’. We then plead for a limited number of axiomatic systems, which differentiate between the various branches of mathematics. Finally, in the appendix we offer BISH an elegant topological definition of ‘locally compact’, which unlike the current definition is equivalent to the usual classical and/or intuitionistic definition in classical and intuitionistic mathematics, respectively.     

一类自适应松弛算法的算法模型

对于一类自适应松弛算法,本文提出了一个算法模型。在一些通常的假定下,证明了该模型生成的序列的收敛性定理。     

适用于DC/DC 变换器的预测函数控制优化策略

针对使用预测函数控制(Predictive Function Control, PFC)的 DC / DC 变换器在负载切换时产生的扰动对变 换器响应速度有较大影响的问题,提出通过设计观测器观测扰动来优化预测函数控制算法的控制效果;相对于其 他提高系统抗扰动的方法,通过设计观测器来提高变换器抗扰动的方法的优点是实现简单、优化后控制效果好等; 设计 Luenberger 观测器对负载切换时产生的扰动进行观测,将观测值反馈给预测函数控制算法进行最优化分析, 并结合仿真结果对目标函数进行调整,优化后的目标函数能更好地响应扰动并尽快达到稳态;最后将优化后的控 制算法与 PI 双闭环控制方法进行比较,结果显示优化后的控制算法在受到扰动后比双 PI 控制方法动态性能更 好,实现了应对负载切换时提高系统动态性能的目标,增强了 DC / DC 变换器的抗干扰能力;优化后的算法只考虑 了负载切换时的扰动对于系统其他方面的扰动没有考虑进去,可以通过设计整个系统的观测器来进一步提高 DC / DC 变换器抗扰动的能力。     

一种含5-硝基间苯二甲酸和菲咯啉配体的超分子化合物：结构表征，光致发光和电化学性能

采用水热法合成了含混合配体的铜配合物[CuClPhen]⁺·[HL]^-·2H₂O（HL=5-硝基间苯二甲酸,Phen=1,10-菲咯啉）,其结构由单晶X射线晶体学确定。标题化合物在三斜空间群P-1的晶体化合物。标题化合物的晶体数据：C₃₂H₂₄ClN₅CuO₈,M_r = 704.54,a = 10.4044(5),b = 12.3912(9),c = 12.4632(9)Å,α = 73.859(6),β = 85.036(5),γ = 78.202(5)^°,V = 1510.09(17) ų,Z = 2, T = 293(2) K,D_c = 1.549 g/cm³,μ(MoKα) = 0.874 mm^-1,F(000) = 720.0,R = 0.0554,wR = 0.1434,GOF = 1.098。当用作超级电容器电极材料时,所制备的配合物具有高比电容、良好的循环稳定性和优良的倍率性能。在1mol/L KOH溶液中,最大比电容可达到69 F/g。在2 A/g电流密度下,10000次循环后比电容保持率为72%。标题化合物是一种潜在的红色光致发光材料。     

A novel mechanism for jumping in the indian ant<Emphasis Type="Italic">Harpegnathos saltator</Emphasis> (Jerdon) (Formicidae,Ponerinae)

The Indian antHarpegnathos saltator may be unique among insects in using its jumping capacity not only as an escape mechanism but also as a normal means of locomotion, and for catching its prey in flight. High-speed cinematography used to analyse the various phases of the jump suggests thatHarpegnathos employs a novel jumping mechanism to mediate these behaviours: namely the synchronous activation of its middle and hindlegs. Electrophysiological recordings from muscles or nerves in pairs of middle and hindlegs show remarkably synchronous activity during fictive jumping, supporting the synchronous activation hypothesis.Harpegnathos is not the only ant to jump, and a cladistic analysis suggests that jumping behaviour evolved independently three times during ant evolutionary history.     

双模随机晶体场对混合自旋1/2和自旋1纳米管上相变的影响

本文利用有效场理论研究了自旋1/2和自旋1混合Blume-Capel模型在具有双模随机晶体场的圆柱形Ising纳米管上的磁化和相变. 通过数值计算,我们得到了随温度和随机晶体场参数变化的相图和磁化强度. 结果表明: (1) 改变晶体场的概率和比例,双模随机晶体场可以描述不同掺杂原子对自旋的作用;(2) 对于一定的概率值、负或正的晶体场和晶体场的比例值都存在临界点;(3) 系统显示多种相变温度,一阶相变和二阶相变.     

激光测油液污染度的原理及其测定装置

选取了光测法检测油液污染度,在适合的波段内,油样对光均具有一般吸收,透光率相对稳定且较大;油样粘度的变化对透光率影响较小,而油液颜色的深浅对透光率有影响。导出了定量分析油液污染程度、消除油液颜色影响和提高检测精确度的理论公式,讨论了影响检测结果的因素及相应的解决方法．     

井冈山珍稀濒危药用植物种类

介绍了井冈山的药物植物受威胁程度的现状,通过自制《江西珍稀危药用植物的分级标准》对井冈山产生的１３５种受威胁的药用植物进行优先保护评价。结果表明,南非一级保护的有６种,二级保护的５４种,三级保护的６８种,暂缓保护的７种,从而提出了１份井冈山珍稀濒危药用植物保护物种名单。     

492QS射流燃烧室汽油机用活塞材质试验

讨论了用混合稀土对Ａｌ－Ｓｉ共晶合金的变质工艺,测定了合金的热抗拉强度、线膨胀系数和活塞的尺寸稳定性。结果表明：加入混合稀土１％后,ＺＬ１０８号合金铁热抗拉强度提高了２６％,线膨胀系数降低,活塞的尺寸稳定性增加。