Eigenvalue Comparison Theorems of the Discrete Laplacians for a Graph

We give a graph theoretic analogue of Cheng's eigenvalue comparison theorems for the Laplacian of complete Riemannian manifolds. As its applications, we determine the infimum of the (essential) spectrum of the discrete Laplacian for infinite graphs.     

具有高次强非线性项的发展方程的精确孤波解

本文给出求几类具高次强非线性项的发展方程精确孤波解的方法,它可推广到高维的情形     

广义组合化学

积极合理运用组合学方法于化学领域的探索研究,可望产生许多新思想、新方法、新技术和新学科,这一现代“炼金术”是新世纪人类建设美好新生活的强有力杠杆。     

300MW汽轮机末级采用弯叶片对反力度的影响

本文通过求解多级透平Ｓ２流面的欧拉方程组和计算三维无粘环形叶栅排的三阶精度ＴＶＤ格式的数值方法、以及模化吹风实验,对３００ＭＷ汽轮机末级在不同侧型面以及弯角的情况下反力度的变化进行了全面的分析．讨论了在Ｄ／ｌ较小的透平级中不同侧型面、不同倾角、以及子午面对反力度影响的新的物理现象．给出了在Ｄ／ｌ较小的透平级中采用不同的侧型面对反力度的影响规律．     

高能重离子碰撞中末态粒子的关联度与集合侧向流

提出了关联度概念,采用粒子群关联函数方法对Bevalac流光室1.2A GeV Ar+BaI₂碰撞事件中关联度不同的粒子对集合侧向流的作用进行了研究.研究表明:关联度是描述集合侧向流性质的一个重要参量.少数关联度较大的粒子(或碎片)可以产生集合侧向流效应,但高阶集合流关联却不受其支配,而是关联度不同的多数粒子(或碎片)集体贡献的结果.     

On a question of Brézis and Nirenberg concerning the degree of circle maps

One considers maps F of the unit circle into itself. For maps of class C ¹ or in the Sobolev class H?, the degree or winding number is equal to the sum of the series in terms of the Fourier coefficients c _n of F (e ^it ) = f (t). Here one studies the possible relation between this series (in symmetric arrangement) and the degree for arbitrary continuous maps F. It is shown that for such maps, the series may fail to be convergent or Abel summable. If the series does converge, the sum may have any value different from the degree of F.     

Influence of laser heating on the optical properties of a superhigh-modulus organoplastic material

The degree and azimuth of polarization and the indicatrix of the intensity of radiation (λ=0.63 μm) reflected by the surface of a monodirectional superhigh-modulus organoplastic material after structural transformations induced in it by CO₂-laser radiation are measured. It is shown that the space-polarization characteristics of the radiation reflected by the organoplastic material charred as a result of laser heating correspond to the parameters of radiation scattered by a nontransparent material with an isotropic surface in the approximation of geometrical optics. B. I. Stepanov Institute of Physics, National Academy of Sciences of Belarus, 68, F. Skorina Ave., Minsk, 220072, Belarus. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 66, No. 5, pp. 635–639, September–October, 1999.     

线性啁啾高斯型锁模脉冲的时间相干长度

本文首次提出并讨论了锁模激光脉冲的时间相干长度问题。从时间复相干度定义出发,导出了具有线性啁啾的高斯型锁模脉冲的时间相干长度表达式,可以看出,时间相干长度随着脉冲啁啾的增大而减小;与这种脉冲的时间宽度比较可以得出结论,在没有啁啾时,脉冲的时间相干长度等于脉冲时间宽度的二倍。     

Photoswitchable PEG‐CA hydrogels and factors that affect their photosensitivity

The photoswitching behavior of polyethylene glycol‐based hydrogels was determined by monitoring the changes in their swellability and absorption spectra upon exposure to alternating wavelengths of irradiation. Highly hydrophilic PEG‐based hydrogels were prepared by the irradiation of a cinnamylidene acetate‐terminated PEG solution (PEG‐CA). The degree of swelling of the PEG‐CA hydrogels was predictably modulated by alternating the wavelength of exposing irradiation. Exposing the PEG‐CA gels to >300 nm irradiation resulted in the decrease of their swellability, while short exposure to 254 nm led to more hydrophilic gels. That is, the physical properties of the PEG‐CA gels can be controlled by the selection of wavelength of irradiation. Interestingly, it was found that 254 nm irradiation could not only lead to the photoscission of the PEG‐CA gels, but also initiate a crosslinking reaction between PEG‐CA monomers. On the contrary, only photocrosslinking via a cyclobutane ring formation was observed under >300‐nm irradiation. Finally, the factors that could affect an efficient photoswitching behavior of the PEG‐CA gels were investigated. © 2000 John Wiley & Sons, Inc. J Polym Sci A: Polym Chem 38: 1466–1476, 2000