Automorphisms on a Lie group contracting modulo a compact subgroup and applications to semistable convolution semigroups

Let ( _t ) _t0 be a -semistable convolution semigroup of probability measures on a Lie groupG whose idempotent ₀ is the Haar measure on some compact subgroupK. Then all the measures ₁ are supported by theK-contraction groupC _K() of the topological automorphism ofG. We prove here the structure theoremC _K()=C()K, whereC() is the contraction group of . Then it turns out that it is sufficient to study semistable convolution semigroups on simply connected nilpotent Lie groups that have Lie algebras with a positive graduation.     

Bistatic scattering by arbitrarily shaped objects with rough surface at optical and infrared frequencies

The scattering cross sections for arbitrarily shaped dielectric objects with rough surface are determined for optical and infrared frequencies using the Kirchhoff approximation. The formula of the coherent scattering cross section is derived, and numerical method of incoherent scattering cross section is given. As a specific example, the infrared laser scattering cross sections of rough spheres are calculated at 1.06 m.     

变系数计量经济学联立模型的局部线性工具向量估计及其性质

联立方程计量经济学模型在经济政策制定、经济结构分析和经济预测方面起着重要作用。本文首次提出了我国宏观经济的一类变系数联立模型,并建立了函数系数的局部线性工具向量估计,同时在时间点列固定设计、经济变量随机设计条件下,研究了估计量的大样本性质。与我国宏观经济经典线性联立模型相比,变系数联立模型拟合效果更优。另外它也有助于克服我国宏观经济数据不多而造成的非参数方法应用困难的现实情况。     

轿车冲撞行人过程的力学分析

通过建立力学模型,分析轿车冲撞行人的力学过程,对此进行了计算和讨论,进而得到与实验结果相吻合的使行人发生倒立时轿车车速的临界值.并提供了一种有效估算临界车速的方法.     

Sensing the ortho Positions in C6Cl6 and C6H4Cl2 from Cl2− Formation upon Molecular Reduction

The geometrical effect of chlorine atom positions in polyatomic molecules after capturing a low-energy electron is shown to be a prevalent mechanism yielding Cl₂⁻. In this work, we investigated hexachlorobenzene reduction in electron transfer experiments to determine the role of chlorine atom positions around the aromatic ring, and compared our results with those using ortho-, meta- and para-dichlorobenzene molecules. This was achieved by combining gas-phase experiments to determine the reaction threshold by means of mass spectrometry together with quantum chemical calculations. We also observed that Cl₂⁻ formation can only occur in 1,2-C₆H₄Cl₂, where the two closest C–Cl bonds are cleaved while the chlorine atoms are brought together within the ring framework due to excess energy dissipation. These results show that a strong coupling between electronic and C–Cl bending motion is responsible for a positional isomeric effect, where molecular recognition is a determining factor in chlorine anion formation.     

碱金属氟化物对掺Yb3+氟磷酸盐玻璃析晶稳定性和光谱性质的影响

研究了碱金属氟化物对掺Yb3 氟磷玻璃的光谱性质和析晶稳定性能的影响.运用倒易法计算了Yb3 的发射截面.结果显示,LiF的引入对吸收和发射截面的提高作用较大并出现最佳引入量极值,其次为KF.碱金属氟化物的引入可提高二元体系的析晶稳定性能,使玻璃网络结构得到改善;拉曼光谱显示二元体系中引入YbF<,3>后玻璃网络结构得到增强,而在引入碱金属氟化物的三元体系中掺杂YbF<,3>后破坏了网络完整性,降低系统析晶稳定性能.     

A Bregman-Split-Based Compressive Sensing Method for Dynamic Harmonic Estimation

In order to overcome the spectral interference of the conventional Fourier transform in the International Electrotechnical Commission framework, this paper introduces a Bregman-split-based compressive sensing (BSCS) method to estimate the Taylor–Fourier coefficients in a multi-frequency dynamic phasor model. Considering the DDC component estimation, this paper transforms the phasor problem into a compressive sensing model based on the regularity and sparsity of the dynamic harmonic signal distribution. It then derives an optimized hybrid regularization algorithm with the Bregman split method to reconstruct the dynamic phasor estimation. The accuracy of the model was verified by using the cross entropy to measure the distribution differences of values. Composite tests derived from the dynamic phasor test conditions were then used to verify the potentialities of the BSCS method. Simulation results show that the algorithm can alleviate the impact of dynamic signals on phasor estimation and significantly improve the estimation accuracy, which provides a theoretical basis for P-class phasor measurement units (PMUs).     

电磁脉冲模拟器前后过渡段锥角设计

 采用矩量法并结合快速多极子方法,对电磁脉冲模拟器内部场波形进行了数值计算,寻找过渡段结构与电磁脉冲波形等的关系,从理论上对模拟器前后过渡段的锥角进行了优化。结果表明：存在前后过渡段的结构都会激起场强沿传播方向的分量;前过渡段主要对工作区域场波形的上升沿产生影响,当前锥角减小时,场波形的上升时间先减小再缓慢增加;后过渡段主要对场波形的衰减部分产生影响,使场波形的衰减部分随着后锥角的增大而产生严重畸变。最终优化设计的电磁脉冲模拟器前过渡段的锥角为15°,后过渡段的锥角为20°,其仿真得到的波形较光滑,没有出现振荡及明显的畸变。     

500—4250eV电子对CO2的散射全截面绝对测量

对中能电子与二氧化碳分子碰撞的散射全截面测量，给出５００－４２５０ｅＶ电子对ＣＯ２的绝对散射全截面。对测量结果作了曲线拟合，并与已有的实验和理论结果进行了比较