Dynamic fractal unifying interaction confirmed with magnetospheric behavior and orbital data

The solar wind makes the magnetosphere to expand and contract as indicated by the expansions and contractions of the auroral oval due to balancing of the dynamic pressure of the ambient space plasma at inner and outer magnetic lines. This self‐similar magnetospheric behavior elucidates the controversial magnetic storm‐substorm relationship and reveals the 3D‐spiral structure of magnetic interaction. The found self‐similarly evolving structure of one seen as fundamental interaction suggests dynamic fractal unifying interaction that builds a firework universe having 3D‐spiral code. The unifying interaction is described with equation drawn in new fundamental dynamic fractal framework. The equation of unifying interaction converges to the inverse square laws and the principle of uncertainty at laboratory scales. The dynamic fractal fundamental framework is made of one 3D‐spirally‐faster‐inward contracting and expanding, oscillating, basic matter. It simply accounts for observed constant speed of light and for the creation of bright and dark bands on a screen behind a tiny slit. The dynamic fractal framework is quantitatively confirmed with the orbital data for the Milky Way Galaxy, the Sun, the Earth, and the triple asteroid system 87 Sylvia. Many testable predictions are also made. The presented new fundamental dynamic fractal framework allows qualitative and quantitative modeling and simplification. © 2007 Wiley Periodicals, Inc. Complexity 12: 61–76, 2007     

运筹学在整车物流智能调度决策支持系统中的研究与应用

本文基于整车物流智能调度决策支持系统的研发、实施与运维的成功应用,论述运筹学在智能化上的应用路径以及实践驱动的学术路径。该系统是国内较早在汽车物流企业实现落地的智能化调度系统,其所形成的思想理论与方法技术揭示了运筹学在智能化应用上的核心价值,以及实践驱动的学术价值,对解决“卡脖子”难题提供示范性思路。本文提出运筹学在智能化研发上“三环七步”的整体研发框架。首先,分析智能化需求的运筹学特征,详细介绍汽车整车物流的发展趋势、瓶颈及智能调度需求;其次,论述运筹学系统模型的作用与建模方法,分析汽车整车物流系统模型的决策要素、目标及约束,提出汽车整车物流智能调度的运筹学应用问题。然后,提出“模式装箱”的新装箱理论问题,明确问题的计算难解性、可解性及核心科学特征。进一步,建立汽车整车物流调度应用问题与科学问题的混合整数线性规划模型;提出求解汽车整车物流调度问题的分支定界算法,以及大规模问题求解的时空分解及滚动求解方法与技术;提出面向运筹应用的生产测试及压力测试方法,给出汽车整车物流调度的测试分析的流程与结果。此外,提出深度集成整车运输管理系统与仓库管理系统、优化算法引擎驱动的分布式、多视图、多系统融合的智能调度决策支持系统。最后,论述该系统在实施过程中的推广使用和运维情况,并对运筹学应用及实践驱动的科学研究进行总结与展望。     

一步法设计单色仪凹面全息光栅

凹面全息光栅是光谱分析仪器的核心器件之一,其成像质量直接决定了光谱分析仪器的分辨本领。利用光程函数理论设计凹面全息光栅是一个繁琐的求解非线性方程组的过程,该过程分两步进行,每步需要求解四个非线性方程。分两步求解不但过程麻烦,还不可避免地引入了取舍误差,降低了最优参数的精度。为了解决该问题,本文提出了一种设计单色仪凹面全息光栅的新方法——一步法,该方法不但可以简化求解过程、降低最优参数的误差,还可以方便地控制整体像差的变化趋势。采用有较强全局搜索能力的遗传算法求解该方法中非线性方程的极值问题,并与传统的方法对比验证了该方法的可行性和正确性,结果表明,一步法不但在方法上比两步法简便,其设计结果还优于两步法。     

新型双向光分插复用器结构实验

提出一种基于FBG和光环形器的双向光分插/复用器（BOADM）结构, 并给出两种实验结构. 结果表明, 该器件在通路间隔100 GHz时, 异频串扰量－21.4 dB、同频串扰量－32 dB, 均满足WDM系统传输要求. 该BOADM采用单面EDFA结构, 易于同其他设备连接, 适应性较好, 设备成本低, 同时还具有潜在的自愈保护能力.     

关于正、余弦函数的一组恒等式

:利用第二类契贝谢夫多项式的性质得到了关于正余弦函数的一组有趣的恒等式 .     

SINE TRANSFORM MATRIX FOR SOLVING TOEPLITZ MATRIX PROBLEMS

1. IntroductionStrang[1] first studied the use of circulallt matrices C for solving systems of linear eqllationsTi x = b witha symmetric positive definite Toeplitz matrix.Numerous authors such as T.Chan[2],R.Chan,etc.[3],[4],[5], Tyrtyshnikov[6], Huckle[7] and T.Ku and C.Kuo[8] proposed differentfamilies of circulallt / skew- circulant precondit ioners.Appling the preconditioned conjugate gradient algorithm(PCGA) to solve the systems Ti x -b, we must find a preconditioner P such that P…     

平方非正的符号矩阵的平方中负元个数

本文给出了一个符号矩阵A当A^2非正时A^2中负元个数N－(A^2)的上,下界,并确定相应的极矩阵。     

Indexing text using the Ziv–Lempel trie

Let a text of u characters over an alphabet of size σ be compressible to n phrases by the LZ78 algorithm. We show how to build a data structure based on the Ziv–Lempel trie, called the LZ-index, that takes 4nlog₂n(1+o(1)) bits of space (that is, 4 times the entropy of the text for ergodic sources) and reports the R occurrences of a pattern of length m in worst case time O(m³logσ+(m+R)logn). We present a practical implementation of the LZ-index, which is faster than current alternatives when we take into consideration the time to report the positions or text contexts of the occurrences found.     

Phase dynamics in the complex Ginzburg-Landau equation

For αβ>−1, stable time periodic solutions A(X,T)=A_qe^iqX+iω_qT are the locally preferred planform for the complex Ginzburg-Landau equation