苯并咪唑的三维荧光光谱与三维室温磷光光谱

测量了浓度为1×10^-4mol/L苯并咪唑水溶液的三维荧光光谱,三维室温磷光光谱和紫外/可见吸收光谱,还测量了苯并咪唑固体紫外/可见吸收光谱对化合物的荧光和室温磷光进行了分析、比较,发现苯并咪唑在290nm、580nm和870nm区域均有强而丰富的荧光谱线,而室温磷光谱线(RTP)单一地出现在290nm区域,且强度很小;同时还讨论了苯并咪唑的升频转换荧光现象.     

R~d中无界子集的离散填充指标(I)(英文)

本文定义了 Rd 中无界集合上的几种离散填充指标 ,并得到了若干性质 .特别地 ,对任意给定的非空集合 A Rd 和任意正整数 m,dim( m )P (A) =d* im( m )P (A) =d～ im( m )P (A) =d～ im( m )P ((A) ) =dim( m )P ((A) ) =dim( 2 )P ((A) ) .     

Chaos for Subshifts of Finite Type

This paper deals with chaos for subshifts of finite type. We show that for any subshift of finite type determined by an irreducible and aperiodic matrix, there is a finitely chaotic set with full Hausdorff dimension. Moreover, for any subshift of finite type determined by a matrix, we point out that the cases including positive topological entropy, distributional chaos, chaos and Devaney chaos are mutually equivalent.     

Cantor集的自乘积集的Hausdorff测度的下界

证明了三分Cantor集C的自乘积集C×C的Hausdorff测度满足 H~(log_3)~4(C×C)≥1.48329。     

Hausdorff dimension of homogeneous perfect sets

Summary We introduce the notion of homogeneous perfect sets as a generalization of Cantor type sets and determine their exact dimension based on the length of their fundamental intervals and the gaps between them. Some earlier results regarding the dimension of Cantor type sets are shown to be special cases of our main theorem.     

Kernel sections for non-autonomous strongly damped wave equations

We prove the existence of compact kernel sections for the process generated by a non-autonomous strongly damped wave equation with homogeneous Dirichlet boundary condition. We show that the upper bound of the Hausdorff dimension of sections decreases as the damping grows for large strong damping.     

Aggregation of Filler Particles in Polymer Composites. An Analysis within the Framework of Irreversible Aggregation Models

Based on the model of irreversible cluster-cluster aggregation, a principal possibility of predicting and simulating the degree of aggregation of filler particles, mathematically expressed by the size distribution of aggregates, is shown. For a practical application of this method, it is necessary to determine the correlation relationship between the model parameters and processing characteristics of the composites.     

Two-Dimensional Artin Groups with CAT(0) Dimension Three

We exhibit 3-generator Artin groups which have finite two-dimensional Eilenberg-Mac Lane spaces, but which do not act properly discontinuously by semi-simple isometries on a two-dimensional CAT(0) complex. We prove that infinitely many of these groups are the fundamental groups of compact, non-positively curved 3-complexes. These examples show that the geometric dimension of a CAT(0) group may be strictly less than its CAT(0) dimension.     

Gravitational field of spherical domain wall in higher dimension

An exact solution of Einstein’s equations is found describing the gravitational field of a spherical domain wall with nonvanishing stress component in the direction perpendicular to the plane of the wall. Also we have studied the motion of test particle around the domain wall.     

一维弹道修正弹飞行稳定性研究

为分析一维弹道修正弹阻力片不同修正能力下,其打开后对弹丸飞行稳定性的影响大小,以某型100mm一维弹道修正弹为研究对象,运用Simulink软件建立了6自由度刚体弹道模型,通过设置不同仿真条件,利用阻力片打开后弹丸攻角变化、陀螺稳定性判据、动态稳定性判据判断弹丸飞行稳定性。求出了在阻力片分别产生原来弹丸阻力系数3倍、4倍、5倍阻力下,为保证弹丸飞行稳定应控制阻力片打开后产生的新的静力矩的极限值应分别小于原弹丸静力矩的3倍、3.5倍、4倍。通过研究阻力片打开时间对弹丸飞行稳定性的影响,结果表明,阻力片打开时间越晚其对弹丸飞行稳定性的影响越大;分析了阻力片一定修正能力下,以不同射角射击时为保证阻力片打开后弹丸飞行稳定性,阻力片最晚打开时间。