一类多项式系统极限环的研究

讨论了系统dxdt=(-y y2-dx)(1-y)a-x2(1-y)a-1dydt=x[(1-y)a (ax)a]极限环的存在性和唯一性,其中α为正数.     

重核自发裂变寿命的新公式

利用Swiatecki寿命公式及其推广形式系统计算了重核的自发裂变寿命，并提出一个新的四参数自发裂变寿命公式，公式计算结果和实验数据能够很好地符合. 对于Z≥90的重核存在一条N=Z+52的长寿命线. 新公式可以预言长寿命线附近的重核自发裂变寿命.     

Inexact spectral projected gradient methods on convex sets

A new method is introduced for large-scale convex constrainedoptimization. The general model algorithm involves, at eachiteration, the approximate minimization of a convex quadraticon the feasible set of the original problem and global convergenceis obtained by means of nonmonotone line searches. A specificalgorithm, the Inexact Spectral Projected Gradient method (ISPG),is implemented using inexact projections computed by Dykstra'salternating projection method and generates interior iterates.The ISPG method is a generalization of the Spectral ProjectedGradient method (SPG), but can be used when projections aredifficult to compute. Numerical results for constrained least-squaresrectangular matrix problems are presented.     

进一步指认近质子滴线核129Pm的衰变

2004年曾报道过利用⁴⁰Ca＋⁹²Mo融合蒸发反应产生了近质子滴线新核素Pm,并首次观测到它(EC+b+)衰变产生的能量为99keV的γ射线. 为了进一步确认上述指认，以下提供了三方面的新证据：1)在164－190MeV能量范围内测量了99keV衰变γ射线的激发函数;2)进行了交叉反应 ³⁶Ar＋⁹⁶Ru的实验,观察到了相同的99keV衰变γ射线；3)用Woods-Saxon Strutinsky方法计算了¹²⁹Pm的核势能面，其基态自旋宇称被预言为5/2^－，所以¹²⁹Pm的(EC＋b＋)衰变有利于馈送到子核¹²⁹Nd的5/2_－的低位态，这也与前期报道相符.     

完全分层多目标规划的基线算法

本文采用基线算法求解完全分层多目标规划问题。给出了简单完全分层多目标规划基线算法的求解步骤，并对其进行了修正，从而得到完全分层多目标规划的宽容基线算法。并给出了两个计算实例。     

Wolfe线搜索下新的共轭梯度法的全局收敛性

共轭梯度法是求解无约束优化问题的一种重要的方法.本文提出一族新的共轭梯度法,证明了其在推广的Wolfe非精确线搜索条件下具有全局收敛性.最后对算法进行了数值实验,实验结果验证了该算法的有效性.     

Near-critical CO2 liquid–vapor flow in a sub-microchannel. Part I: Mean-field free-energy D2Q9 lattice Boltzmann method

The mean-field free-energy based lattice Boltzmann method (LBM) is developed for the calculation of liquid–vapor flows in channels. We show that the extensively used common bounceback boundary condition leads to an unphysical velocity at the wall in the presence of surface forces that arise from any local forces such as gravity, fluid–fluid and fluid–solid interactions. We then develop a mass-conserving velocity-boundary condition which eliminates the unphysical velocities. An important aspect of the overall LBM model is the inclusion of the correct physics to simulate different wall wettabilities and dynamic contact lines. The model is applied to static and dynamic liquid–vapor interfacial flows and compared to theory. The model shows good agreement with three well established theories of contact line dynamics.     

Calibration procedure for 3D measurement systems using two cameras and a laser line

In order to ensure the precision of the measurement of complex 3D object surfaces using non-contact laser scanning systems, a novel stereo vision calibration procedure based on a laser line projection plane is presented. This calibration procedure can also be used in measurement systems based on a single camera and a laser line projection. This procedure, while using only laser-coplanar points, is oriented towards laser line detection and allows the matching of two images on the laser projection plane without the use of a rigid motion equation. These features make this procedure very precise, simple and, consequently, easier to implement.     

高温高密类氢离子线辐射线形及其输运

本文用Hooper一阶理论计算多组分等离子体的微观静电场几率分布,从而分析了各离化度离子的丰度分布对微观静电场几率分布和类氢离子(n→1)Lyman线形的影响。在得到光学薄Lyman线形的基础上,我们用S_n方法模拟计算了类氢氖离子的Lymanβ线形在球形等离子体中由于输运过程而引起的不透明度加宽,计算结果表明,Lymanβ线形分裂双峰的间距Aω_m几乎与光学深度无关。因此,该双峰间距可较方便地用于聚变等离子体密度的时空分辨诊断。     

Assignment of pH‐dependent NMR spectra of the scorpiand macrocycle: an application of titration profiles and spectral linewidths

Routine homo‐ and heteronuclear 2D NMR experiments (COSY, HMQC, TOCSY and ROESY) were performed for the complex macrocyclic pentaamine ligand 1‐(2′‐aminoethyl)‐1,4,8,11‐tetraazacyclotetradecane ( 1 , scorpiand), derived from 1,4,8,11‐tetraazacyclotetradecane (cyclam). However, some its ¹³C and ¹H resonances were distinguished only based on the similarity between profiles of relevant pH–chemical shift plots and/or linewidth considerations. Following this empirical method relying on the assumption that titration curves of nuclei in comparable chemical environments have comparable shapes, it was possible to assign all chemical shifts (¹³C, pH 0.25–13.4; ¹H, pH 10–11.5) for some different protonated species H_n 1 ⁿ⁺. A multiple experimental approach used for recognizing their NMR signals is offered as a general assignment procedure in the case of polyazamacrocycles. Copyright © 2002 John Wiley & Sons, Ltd.