Skew Schubert polynomials

We define skew Schubert polynomials to be normal form (polynomial) representatives of certain classes in the cohomology of a flag manifold. We show that this definition extends a recent construction of Schubert polynomials due to Bergeron and Sottile in terms of certain increasing labeled chains in Bruhat order of the symmetric group. These skew Schubert polynomials expand in the basis of Schubert polynomials with nonnegative integer coefficients that are precisely the structure constants of the cohomology of the complex flag variety with respect to its basis of Schubert classes. We rederive the construction of Bergeron and Sottile in a purely combinatorial way, relating it to the construction of Schubert polynomials in terms of rc-graphs.

     

A highly clustered scale-free network evolved by random walking

In present paper, we propose a highly clustered weighted network model that incorporates the addition of a new node with some links, new links between existing nodes and the edge's weight dynamical evolution based on weight-dependent walks at each time step. The analytical approach and numerical simulation show that the system grows into a weighted network with the power-law distributions of strength, weight and degree. The weight-dependent walk length l will not influence the strength distribution, but the clustering coefficient of the network is sensitive to l. Particularly, the clustering coefficient is especially high and almost independent of the network size when l=2.     

Impurity optical absorption in parabolic quantum well

Optical absorption in GaAs parabolic quantum well in the presence of hydrogenic impurity is considered. The absorption coefficient associated with the transitions between the upper valence subband and donor ground state is calculated. The impurity ground state wave function and energy are obtained using the variational method. Dependence of the absorption spectra on impurity position in quantum well was investigated. It is shown, that along with quantum well width decrease the absorption threshold shifts to higher frequencies. Results obtained within frames of parabolic approximation are compared with results for rectangular infinite-barrier quantum well case. The acceptor state → conduction band transitions considered as well.     

高位振动态RbH(Х1Σ+,v″≧15) 与CO2碰撞转移中的能量相关性

研究了高位振动态RbH(Х1Σ+,v″=15-21)与CO2碰撞转移过程。脉冲激光激发RbH至高位态,利用激光感应荧光 光谱(LIF)得到RbH(Х1Σ+,v″)与CO2的猝灭速率系数,。利用激光泛频光谱技术,测量了CO2(0000,J)高转动态分布。得到了转动温度,从而获得了平均转动能和转动能的变化<ΔErot>,发现。对于v"=16,证实了振动—振动能量转移的4-1近共振过程。在一次碰撞条件下,通过速率方程分析,得到RH(v")-CO2振转速率系数。对于v"=15,J=32-48,速率系数在1.25-0.33×10-13cm3s-1.之间,对于v"=21,速率系数在2.47-1. 53×10-13cm3s-1之间,其能量相关性是明显的。     

氢化物AlH2自由基分子光谱辐射特征的研究

利用前一篇论文计算所得的振动频率、转动常数和配分函数,再将常温下的无转动跃迁矩平方近似为一常数并应用于高温,进一步编制程序,计算了氢化物AlH2分子001-000跃迁带不同温度段的辐射强度和吸收系数等谱带辐射特征.论文中计算的配分函数值与高斯计算及拟合值,不管是在常温还是高温下,都吻合较好,这说明构建的模型是可靠的,可以用来进一步计算谱带强度和吸收系数;从获得不同温度段的模拟光谱辐射特征图也可以看出,本文得到的谱带特征与文献一致.这对进一步研究自由基分子高温光谱的实验和理论都具有一定的参考作用.     

梯度计算的集合变分方案及其在大气Ekman层湍流系数反演中的应用

大气Ekman层湍流系数的准确计算对数值天气预报和污染物扩散计算有着重要的意义. 将集合计算和变分法结合起来, 提出了目标泛函梯度计算的集合变分方案, 并根据正演模式的线性化情况提出了两种计算流程. 利用这种集合变分梯度算法及两种流程对Ekman层湍流系数进行了反演试验, 结果表明这种算法实施简单、方便, 根据观测资料能够比较准确地反演湍流系数值. 关键词： 梯度计算 集合变分 湍流系数 反演     

多弹簧串联系统能量计算

在弹簧质量不能忽略的情况下,推导了n个弹簧串联系统的动能和弹性势能具体表达式,结果表明:n个串联弹簧系统的动能与每个弹簧自身质量、劲度系数密切相关;系统的弹性势能由n个串联弹簧的等效劲度系数和串联弹簧的总伸长量决定.     

不良导体导热系数测定实验中仪表风扇对实验结果的影响

根据对物体冷却规律的分析,并从实验结果比较,指出稳态法测不良导体导热系数实验中,设置散热盘的冷却过程应与其在稳态过程时的强迫对流散热方式保持一致.     

直流稳压电源波形演示器制作说明

直流稳压电源可以将交流电压变换为直流电压,并使之稳定,在我们现实生活中应用很广泛,在实验中我们利用的电学知识,设计制造了一种直流稳压电源。本文简要介绍了这种直流稳压电源波形演示器的设计目的和电路原理,重点阐述了它的制作流程、滤波和稳压原理以及性能测试输出波形。