非奇异单圈图的刻划

边数等于顶点个数的连通图称为单圈图.本文修正了文献[1]中关于奇异单圈图的充要条件,并且利用该条件证明了文献[2]中一个关于非奇异单圈图的猜想.     

Features of the total disintegration events of heavyemulsion targets caused by 4.5A GeV/c16O

Total disintegration events produced by 4.5\,A GeV/c $^{16}$O--AgBr interactions are analysed to investigate the characteristics of secondary charged particles produced in such collisions. The multiplicity distributions of grey, black, and relativistic charged particles can be well represented by Gaussian distribution. The average multiplicity of grey particles is found to increase with the mass of projectile increasing, while that of black particles is found to decrease with the mass of projectile increasing. This result is in good agreement with the prediction of fireball model. Finally, the linear dependence between grey and black particles is observed, but there is no distinct dependence between the production of relativistic charged particles and the target excitation.     

1.54μmEr3+,Yb3+共掺玻璃激光器的速率方程及数值分析

LD抽运共掺Er,Yb玻璃激光器中的跃迁过程较复杂,针对双掺离子之间的能量传递和Er3+的多种跃迁过程,给出了详细的准三能级系统的速率方程,在合理简化后进行了数值分析,分析了Er3+掺杂浓度和介质长度、抽运光斑、输出镜透过率、谐振腔长、抽运光的椭圆度等因素对激光阈值及斜率效率的影响. 关键词： 1.54μm激光 Er3+玻璃 速率方程 数值分析     

Raman spectroscopic study of ceramic Sr2Bi4Ti5O18

Raman spectra of ceramic Sr2Bi4Ti5O18 （SBTi5） are reported to consist of four different Raman bands. Temperature-dependent spectra reveal the relationship between the lattice vibration and the material＇s structure. There appears a relatively large change in structure of the material at about 273K, The anharmonic potential of the material has a great influence on its phonon mode full width at half maximum （FWHM）, which can be expressed by a function of temperature. Theoretical fittings of the FWHMs for the two modes at around 312 cm^-1 and 464cm^-1 indicate that the latter phonon mode is more anharmonic than the former one.     

一类没有单调性假设的渐近线性波方程的多解

本文借助文[1]除去零空间的技巧,利用L—S度数理论讨论了一类浙近线性波方程。在对非线性项不做单调性假设的前提下,给出了一个新的多解定理。     

Remarks on the Scattering Result of Nonlinear Schr(o)dinger Equations

0 Introduction In this paper, we give another proof of the scattering result of the following Cauchy problem in the energy space     

A generalized existence theorem of BSDEs

In this Note, we deal with one-dimensional backward stochastic differential equations (BSDEs) where the coefficient is left-Lipschitz in y (may be discontinuous) and Lipschitz in z, but without explicit growth constraint. We prove, in this setting, an existence theorem for backward stochastic differential equations. To cite this article: G. Jia, C. R. Acad. Sci. Paris, Ser. I 342 (2006).     

Searching for a counterfeit coin with b-balance

We consider the classical problem of searching for a heavier coin in a set of n coins, n-1 of which have the same weight. The weighing device is b-balance which is the generalization of two-arms balance. The minimum numbers of weighings are determined exactly for worst-case sequential algorithm, average-case sequential algorithm, worst-case predetermined algorithm, average-case predetermined algorithm.We also investigate the above search model with additional constraint: each weighing is only allowed to use the coins that are still in doubt. We present a worst-case optimal sequential algorithm and an average-case optimal sequential algorithm requiring the minimum numbers of weighings.