中国东部地区城市基本公共服务区域差异演化

减小区际基本公共服务差异是消除区域发展鸿沟、实现中国区域均衡发展的重要前提, 分析城际公共服务差异, 推进基本公共服务均等化是提升中国东部地区城市群发展水平面临的重要难题. 以教育、文化体育、医疗卫生3个基本公共服务一级指标构建了城际基本公共服务测度体系, 运用泰尔指数和熵值法测量1985年、1995年、2010年、2015年中国东部沿海地区88个城市间总体水平差异及不同指标差异. 结果表明: (1)东部沿海地区城市的基本公共服务质量总体不高, 基本公共服务差距明显, 长三角、环渤海地区公共服务总体水平高于珠三角地区; (2)东部沿海地区城际文化体育、教育、医疗卫生公共服务水平区域差异程度相当; (3)东部沿海地区城际基本公共服务各指标差异程度整体呈下降趋势, 且高水平城市与低水平城市差距明显减小.     

Dynamics of an Ultracold Bose Gas in Funnel-Shaped Potential

In this paper we develop a variational theory to study the dynamicproperties of ultracold Bose gas in a funnel external potential. We obtain one-dimensional nonlinear equation which describes the dynamics of transverse tight confined bosonic gas from three-dimension to one-dimension, and find one-dimensional s-wave scattering length which depends on the shape oftransverse confining potential. If the funnel trapping potential is strong enough at zero temperature, all transverse excitations are frozen. We find the dynamic equation which describes the Tonks-Girardeau gas and present a qualitative analysis of the experimental accessibility of the Tonks-Girardeau gas with funnel-trapped alkalic atoms.     

Unified description of angular distributions of target particles in light and heavy ion induced interactions in nuclear emulsions at high energies

Some investigations show that in light ion (LI) induced reactions, such as He, O, Ne, and Ar in nuclear emulsions (Em) at high energies, the angular distributions of the target particles show a wide structure around the polar angle ν≈ 60°. With heavy ions (HI) such as Kr and Au such a wide structure has not been observed. The experimental results on Mg--Em and Si--Em interactions also do not show such a wide structure in the angular distribution of the target particles. Using a multisource ideal gas model we uniformly describe the angular distributions of the target particles produced in LI--Em and HI--Em interactions. The result is not only in agreement with the mean trend, but also with the fluctuations of the experimental data. We conclude that the wide structure observed in LI--Em interactions may be the result of statistical fluctuations.     

Pinning-controlled synchronization of complex networks with bounded or unbounded synchronized regions

This paper studies pinning-controlled synchronization of complex networks with bounded or unbounded synchronized regions. To study a state-feedback pinning-controlled network with N nodes, it first converts the controlled network to an extended network of N+1 nodes without controls. It is shown that the controlled synchronizability of the given network is determined by the real part of the smallest nonzero eigenvalue of the coupling matrix of its extended network when the synchronized region is unbounded; but it is determined by the ratio of the real parts of the largest and the smallest nonzero eigenvalues of the coupling matrix when the synchronized region is bounded. Both theoretical analysis and numerical simulation show that the portion of controlled nodes has no critical values when the synchronized region is unbounded, but it has a critical value when the synchronized region is bounded. In the former case, therefore, it is possible to control the network to achieve synchronization by pinning only one node. In the latter case, the network can achieve controlled synchronization only when the portion of controlled nodes is larger than the critical value.     

扩展有限元方法计算多夹杂问题时圆形夹杂与四边形单元的几何关系

用扩展有限元法XFEM(Extended Finite Element Method)解决夹杂问题时,夹杂与基质的界面把单元分成若干部分.求单元刚度矩阵时,需要分别在这各个部分求积分.找到便于程序编制的描述各积分区域几何形状的方法是亟待解决的问题.本文把各积分区域的形成过程看成是圆对四边形的多次切割.考虑切剩区域与圆的关系时,把不完整的边仍看作完整的边,把切剩区域看成是四边形或是切去一两条边的四边形.采用排列组合的方法,把它们与圆的所有位置关系列了出来.     

卫星角反射器有效衍射区域的研究

本文基于角反射器的几何结构模型,采用矢量形式的折反射定律,推导了在不同入射条件下有效衍射区域的数学表达式.通过数值模拟的方法分析了有效衍射区域的变化规律,以及该规律对远场衍射光强空间分布的影响.结果表明,随着光束入射角的增加,有效衍射区域逐渐减小,进而导致角反射器衍射强度发散程度增加.光束方位角的引入不会改变有效衍射区域的形状和衍射强度的总能量,而只会使其各自分布旋转方位角的大小.在不考虑大气效应的情况下,根据不同入射条件对应的衍射强度分布,并结合速差补偿理论,提出了一种全新的角反射器口径设计方法.     

Extension of grid separation in the finite difference time domain analysis for predicting time-resolved reflectance of an optical pulse from scattering medium with non-scattering regions

Extension of grid separation in the finite difference time domain (FDTD) analysis has been proposed for predicting time-resolved reflectance of an optical pulse from scattering medium with non-scattering (clear) regions. Grid separation in the previous FDTD analysis formulated by the author was limited to less than 0.5 mm. By introducing the alternative boundary conditions proposed by the author at the surface of scattering medium, the grid separation limit has been extended up to 1 mm. As a result, necessary time to analyze time-resolved reflectance has been reduced to less than a sixtieth without degrading numerical accuracy.     

Reducing the NMR sample volume using a single organic liquid: Increased sensitivity for mass-limited samples with standard NMR probes

A simple inexpensive protocol for confining an aqueous sample to the active region of a standard NMR probe is examined for high-resolution NMR. The aqueous sample is sandwiched between an inert perfluorinated organic liquid that has been exploited in the design of micro-coil NMR probes. The procedure is demonstrated with 3 mm NMR tubes at ambient and elevated temperatures but should be equally applicable to smaller diameter tubes. It is shown that confinement has minimal effects on line shape and provides at least a two fold increase in sensitivity over a conventional sample, for the same mass of solute.     

Extraordinary photons with unusual angular momentum

A series of novel state-vector functions (SVFs), which is the general solution of the Schrödinger equation for a photon, are constructed. Each set of these functions consists of a triplet of eigen-SVFs: The triplet can be broken down into a pair of nonzero l-order functions and a single zero-order function. The photons, described with a triplet of eigen-SVFs, possess all the quantum characteristics of a photon: In addition to common attributes like energy E = ? _ω , and momentum p _z = ? _κ , they also exhibit different angular momenta (AM) L _z+ = l?, L _z? = l?, and L _z0 = 0, where l?1. In other words, in addition to usual eigenvalues L _z±= ±?, there are unusual nonzero l-order eigenvalues L _z± = ±l? and a zero-order eigenvalue L _z0 = 0 for AM of a photon. By a series of SVFs, the pattern from nonzero l-order and zero-order Laguerre-Gaussian modes of a laser beam is explained well from a quantum mechanical point of view.     

星图识别算法的优化设计与实现

在INS／CNS组合导航系统中,为了有效实时地用CNS的输出姿态信息校正INS的陀螺漂移,必须提高CNS中星图识别算法的运行速度。提出了一种改进的三角形星图识别方法,基三角形识别成功后,增加一颗附加检测星,计算出附加检测星和基三角形的三个星点的角距值。分析结果表明传统的星图识别算法在主频为600MHz的DSP6414上运行需要300ms左右的时间,算法改进后,只需40-80ms,数据输出率提高到10Hz。改变的算法在不存在伪星的情况下成功识别率近100％,存在伪星时,可以有效去除伪星。同时,解决了传统星图识别算法在嵌入式系统中实现难、耗时长的问题。该算法可以实时地校准惯导系统的误差。