Force field variations along the torsional coordinates of CH3OH and CH3CHO

We examine the question of reduced Hamiltonians for the torsion-rotation problem and in particular the question of the continuity of frequencies obtained by projecting out a large-amplitude torsional coordinate. We find that suitable results for torsion-rotation analysis can be obtained using either a rectilinear or a curvilinear formalism.     

Microscopic study of odd-A nuclei

The odd-proton nucleus¹⁵⁵Tb and odd-neutron nucleus¹⁵⁵Dy are studied along with doubly-even nucleus¹⁵⁶Dy using microscopic method of variation after projection of angular momentum and conservation of nucleon number in each projected state. The calculated energies of the ground band in¹⁵⁶Dy and the ground and excited bands in¹⁵⁵Dy and¹⁵⁵Tb are in good agreement with the corresponding experimental data. The role played by thei _13/2 neutron pair in these nuclei is discussed.     

Solving large-scale minimax problems with the primal—dual steepest descent algorithm

This paper shows that the primal-dual steepest descent algorithm developed by Zhu and Rockafellar for large-scale extended linear—quadratic programming can be used in solving constrained minimax problems related to a generalC ² saddle function. It is proved that the algorithm converges linearly from the very beginning of the iteration if the related saddle function is strongly convex—concave uniformly and the cross elements between the convex part and the concave part of the variables in its Hessian are bounded on the feasible region. Better bounds for the asymptotic rates of convergence are also obtained. The minimax problems where the saddle function has linear cross terms between the convex part and the concave part of the variables are discussed specifically as a generalization of the extended linear—quadratic programming. Some fundamental features of these problems are laid out and analyzed.This work was supported by Eliezer Naddor Postdoctoral Fellowship in Mathematical Sciences at the Department of Mathematical Sciences, the Johns Hopkins University during the year 1991–92.     

静态拉伸法测定金属丝杨氏模量实验的最佳条件与数据处理

本文对静态拉伸法测定金属丝杨氏模量实验的最佳条件作了进一步探讨，给出了在一定实验条件下的ｄ－ｆ曲线．并从误差角度出发，结合最佳实验条件的选取，提出了一种新的测量方法。     

PPS样本的轮换抽样

本文介绍了一些不等概连续抽样的方案。文中叙述了在两个不同时间的DesRaj和L .Kish的处理方法。同时给出了这一问题的新的处理方案     

确定σ_（0．2）的一种新途径

高精度试验机绘出的材料拉伸试验曲线，往往没有明显的初始直线段，用Ｅ－平行线法求得的σ１．２常常具有较大误差。为了降低误差，采用拉伸曲线上０．１Ｆｂ和０．５Ｆｂ两点连线作基准，再以平行线法求σ０．２，这样得到的σ０．２非常接近用“逐步逼近法”［１］得到的σ０．２这种简易方法不仅适合手工图解，而且适合新式试验机，如岛津ＡＧ—Ｅ的计算机图解。     

Hierarchical Monte Carlo methods for fractal random fields

Two hierarchical Monte Carlo methods for the generation of self-similar fractal random fields are compared and contrasted. The first technique, successive random addition (SRA), is currently popular in the physics community. Despite the intuitive appeal of SRA, rigorous mathematical reasoning reveals that SRA cannot be consistent with any stationary power-law Gaussian random field for any Hurst exponent; furthermore, there is an inherent ratio of largest to smallest putative scaling constant necessarily exceeding a factor of 2 for a wide range of Hurst exponentsH, with 0.30<H<0.85. Thus, SRA is inconsistent with a stationary power-law fractal random field and would not be useful for problems that do not utilize additional spatial averaging of the velocity field. The second hierarchical method for fractal random fields has recently been introduced by two of the authors and relies on a suitable explicit multiwavelet expansion (MWE) with high-moment cancellation. This method is described briefly, including a demonstration that, unlike SRA, MWE is consistent with a stationary power-law random field over many decades of scaling and has low variance.     

Successive approximation to determine rotational temperature

A method using successive approximation is developed for determining the rotational temperatures, when the rotational lines are overlapped. The method is applied to CH (B ² Σ ⁻ −X ² II) band as a test.     

块AOR迭代法的收敛性

本文推广了解线性方程组的AOR迭代法,给出了块AOR迭代法(BAOR迭代法).文中引进了块M-矩阵,块H-矩阵,块严格对角优势矩阵,块Hermite正定矩阵,块相容次序矩阵和广义块相容次序矩阵等概念.在线性方程组的系数矩阵分别具有上述性质的假设下,讨论了BAOR迭代法的敛散性.     

Spatial price equilibrium,distribution center location and successive over-relaxation

A spatial price equilibrium problem is modeled which allows piecewise linear convex flow costs, and a capacity limit on the trade flow between each supply/demand pair of regions. Alternatively, the model determines the locations of intermediate distribution centers in a market economy composed of separate regions, each with approximately linear supply and demand functions. Equilibrium prices, regional supply and demand quantities, and commodity flows are determined endogenously. The model has a quadratic programming formulation which is then reduced by exploiting the structure. The reduced model is particularly well suited to solution using successive over-relaxation.