低R.E度上D.R.E.度的非稠密性

本文用O(?)优先损害方法证明了d.r e.度中任何低的递归可枚举度ι之上存在一个非稠密区间,即存在d.r.e.度d,ι相似文献   

Surface Wave Analysis of Planar-Type Overdense Plasma with Surface Plasmon Polariton Resonance

Surface waves （SWs） in planar-type overdense plasmas are analyzed and the invariable SW mode caused by the resonant excitation of surface plasmon polaritons （SPPs） is presented. It is found that the electric field peaks at the location where the plasma density equals the cut-off density while the plasma density gradient and the collision rate have different influences on the field amplitude and the peak＇s width. Moreover, the mode conversion between SW of SPPs and electron plasma waves play a significant role in production of overdense plasma.     

超短超强激光在稀薄等离子体中的自聚焦传输

 开展超短超强激光与次稠密等离子体相互作用实验,采用探针光对激光等离子体相互作用区域进行阴影成像,研究了不同激光功率与临界功率比值及不同激光脉冲长度与等离子体波波长比值下的激光在次稠密等离子体中的自聚焦传输。结果表明:相对论效应是超短脉冲在次稠密等离子体中的主要自聚焦机制,激光功率与临界功率比值是影响超短脉冲在次稠密等离子体中形成自聚焦的关键条件。     

用于等离子体焦点装置的强流装置

研制了用于稠密等离子体焦点的强流装置,该装置采用八台低电感低内阻脉冲电容器和八个低感大电流、可控触发高压开关并联组成初级储能模块,高压开关同步击穿后产生μs级强电流经平行板传输线加载到负载。脉冲电容器和高压开关采用一体化设计,结构紧凑,使脉冲电容器与高压开关间的连接电感尽可能小;平板传输线为扇形结构,一个扇形平板传输线连接一个高压开关,平行板传输线可以将电感做得较小,有利于大电流回路的传输。在脉冲电容器充电20 kV时,假负载上可以得到500 kA的电流,电流上升时间约为3.7 μs。     

$C(X)$上的开点与紧开拓扑

In this note we define a new topology on C(X),the set of all real-valued continuous functions on a Tychonoff space X.The new topology on C(X) is the topology having subbase open sets of both kinds:[f,C,ε[={g E C(X):|f(x)-g(x)| ε for every x∈C} and[U,r]~-={g∈C(X):g~(-1)(r)∩U≠φ},where f∈C(X),C∈KC(X)={nonempty compact subsets of X},ε 0,while U is an open subset of X and r∈R.The space C(X) equipped with the new topology T_(kh) which is stated above is denoted by C_(kh)(X).Denote X_0={x∈X:x is an isolated point of X} and X_c={x∈X:x has a compact neighborhood in X}.We show that if X is a Tychonoff space such that X_0=X_c,then the following statements are equivalent:(1) X_0 is G_δ-dense in X;(2) C_(kh)(X) is regular;(3) C_(kh)(X) is Tychonoff;(4) C_(kh)(X) is a topological group.We also show that if X is a Tychonoff space such that X_0=X_c and C_(kh)(X) is regular space with countable pseudocharacter,then X is σ-compact.If X is a metrizable hemicompact countable space,then C_(kh)(X) is first countable.     

Dense Coding with Multi-Atom Entanglement Channel in Cavity QED

Dense coding of multi-atom entangled states in cavity QED is studied. If the quantum channel is generalized GHZ states, dense coding can be directly realized in a simply way. As for the partially entangled pure states, we propose a feasible protocol for entanglement concentration, and the emciency of information transmitted is calculated. The schemes are insensitive to the cavity decay and the field state, due to the fact that the interaction here is a large-detuned one between atoms and the cavity.     

铁热稠密物质状态方程的相对论Hartree-Fock-Slater计算

 本文在球元胞、中心力场、相对论Fermi统计近似下，用平均原子模型计算铁热稠密物质在任意温度和密度下的单电子能级和状态方程。这种算法以Zink的解析拟合势作为初始势，求解满足Wigner-Seitz边界条件的Dirac-Slater径向波函数方程。通过简并度是密度的连续函数，考虑了大密度的压致电离效应。这样从另一个角度考虑了电子的能带结构。     

学习系统的重学习收敛性能分析

重学习是指从不只一个初始点开始的学习，本文分析了学习系统的重学习收敛性能，给出了描述重学习的结果优劣和初始点集稠密程度之间关系的定理。并对一个优化问题引出的学习系统做了重学习的仿真，实际结果显示了定理所描述的关系。     

热稠密物质U92的状态方程

 本文用平均原子模型，对热稠密物质U⁹²的状态方程，进行了Hartree-Fock-Slater计算。以Zink解析拟合势作为初始势及孤立原子的TF能级作为初始能级，求解满足Wigner-Seitz边界条件的Dirac-Slater方程。通过简并度是密度的连续函数来考虑大密度时的压致电离效应。     

Solid 码与fd-辖区的一致稠密性

利用solid码的理论, 解决了郭聿琦, C. M. Reis 和G. Thierrrin 于1988年提出的问题"是否每一个fd-辖区都是一致稠密的?''''