NSD样本最近邻密度估计的强相合性

本文研究负超可加相依样本的最近邻密度估计强相合性.利用负超可加相依序列的不等式与性质,获得最近邻密度估计的弱相合性、强相合性和一致强相合性.     

带跳的Gauss积分过程幂变差的渐近行为

研究了Xt=∫t0φsdGs+ξt已实现幂变差的渐近理论,其中G为平稳增量Gauss过程,φ为随机过程,ξ为与G独立的非Gauss Lévy过程,而积分为按路径Riemann-Stietjes积分.给出了经适当规范化后已实现幂变差的概率极限定理以及相应的中心极限定理,这些结果将为处理长期记忆跳过程的统计问题提供理论基础.     

NOTE ON THE OSCILLATION OF THE SOLUTION FOR GENERALIZED LIENARD EQUATIONS

Ｃｏｎｓｉｄｅｒｉｎｇｓｙｓｔｅｍ：ｘ＝φ（ｙ）－Ｆ（ｘ），ｙ＝－ｇ（ｘ）｛（Ｅ）ｉｎｗｈｉｃｈＦ（ｘ）＝∫ｘ０ｆ（ｔ）ｄｔ，ｆ（ｘ），ｇ（ｘ），φ（ｙ）ａｒｅｃｏｎｔｉｎｕｏｕｓ，ａｎｄｓａｔｉｓｆｙｔｈｅｃｏｎｄｉｔｉｏｎｓｗｈｉｃｈｅｎｓｕｒ...     

ON THE EXISTENCE OF SOLUTION OF A NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEM ARISING FROM A LIQUID METAL FLOW

In this paper, we discuss the existence of solution of a nonlinear two-point boundary value problem with a positive parameter Q arising in the study of surfacetension-induced flows of a liquid metal or semiconductor. By applying the Schauder＇s fixed-point theorem, we prove that the It improves the result of 0 ≤ Q 〈 1 in problem admits a solution for 0 ≤ Q ≤ 14.306 [2] and 0 ≤ Q ≤ 13.213 in [3].     

负超可加相依样本密度函数核估计的相合性

本文研究负超可加相依样本的密度函数核估计相合性.利用负超可加相依序列的不等式与性质,获得了密度函数核估计的逐点相和性和一致相和性以及r阶矩相和性.     

光腔模式及光束传输的特征向量算法

发展了一种新颖的适用于光腔模式及光束传输模拟计算的特征向量法.该方法的核心是基于菲涅耳-基尔霍夫衍射积分理论构造了一种新的光腔传输矩阵,通过求解激光谐振腔的本征积分方程,即可一次求解得到表征腔镜上多个光场模式振幅及相位分布的特征向量组;而谐振腔内或腔外任意地方的光场分布,也可采用该方法进行光束传输模拟而求得.对与该方法有关的单元划分、形函数选取、误差及稳定性分析等问题进行了论述,分析表明:合适的单元划分和形函数选取有利于提高计算速度、精度和稳定性.     

Xe-Kr laser induced collisional ionization system and experimental preparation of its initial state: Four-photon resonant excitation

This paper proposes a novel one-colour Xe-Kr laser induced collisional ionization system. Considering the level scheme of the system, it finds that the initial state of the reaction--the four 4f levels with even J of Xe-can be prepared through method of four-photon resonant excitation by dye laser with wavelength of -440 nm. Absorption of an additional photon （the transfer laser） of the same wavelength will complete the laser induced collisional ionization process. The resonance enhanced ionization spectrum of Xe by four laser photons at -440nm is measured through time-of-flight mass spectrometry, this aims at the preparation of the initial state of the system proposed. The Stark broadening of the measured spectrum is observed and consistent with the previous study. Analysis of the measured resonance ionization spectrum implies the feasibility of -440 nm four-photon resonant excitation of the initial 4f state of the Xe Kr system proposed in this paper, which prepares for a further experiment of laser induced collisional ionization.     

Laser-induced quadrupoleben quadrupole collisional energy transfer in Xe-Kr

By considering the relative velocity distribution function and multipole expansion interaction Hamiltonian, a three-state model for calculating the cross section of laser-induced quadrupole-quadrupole collisional energy transfer is presented. Calculated results in Xe-Kr system show that in the present system, the laser-induced collision process occurs for ~4 ps, which is much shorter than the dipole-dipole laser-induced collisional energy transfer (LICET) process. The spectrum of laser-induced quadrupole-quadrupole collisional energy transfer in Xe-Kr system has wider tunable range in an order of magnitude than the dipole-dipole LICET spectra. The peak cross section decreases and moves to the quasi-static wing with increasing temperature and the full width at half peak of the profile becomes larger as the system temperature increases.     

“静电泄漏规律的研究”实验的改进

介绍了微机应用于静电导体、静电亚导体和静电绝缘体的静电泄漏规律研究的一种教学实验系统。同时通过实验结果的分析讨论，指出对目前大学物理教学实验“静电泄漏规律的研究”所作的改进及其实用价值。     

多孔介质对流干燥外部传热传质的非平衡热力学理论

从非平衡热力学理论出发,以广义热力学力作为传质过程驱动势,建立了描述多孔介质恒速干燥阶段外部对流传热传质过程的热力学理论模型,并进行了数值计算,计算值与已有的实验数据吻合较好;同时,还将计算结果与传统的理论进行了比较,结果表明,非平衡热力学理论更能反映过程的物理本质。