Fractal and statistical properties of large compact polymers: a computational study

We propose a novel combinatorial algorithm for efficient generation of Hamiltonian walks and cycles on a cubic lattice, modeling the conformations of lattice toy proteins. Through extensive tests on small lattices (allowing complete enumeration of Hamiltonian paths), we establish that the new algorithm, although not perfect, is a significant improvement over the earlier approach by Ramakrishnan et al. [J Chem Phys 103(17) 7592 (1995)], as it generates the sample of conformations with dramatically reduced statistical bias. Using this method, we examine the fractal properties of typical compact conformations. In accordance with Flory theorem celebrated in polymer physics, chain pieces are found to follow Gaussian statistics on the scale smaller than the globule size. Cross-over to this Gaussian regime is found to happen at the scales which are numerically somewhat larger than previously believed. We further used Alexander and Vassiliev degrees 2 and 3 topological invariants to identify the trivial knots among the Hamiltonian loops. We found that the probability of being knotted increases with loop length much faster than it was previously thought, and that chain pieces are consistently more compact than Gaussian if the global loop topology is that of a trivial knot.     

区域雷电基础参数的统计和分析方法

雷电基础参数研究是整个雷电防护工作的基石。介绍了雷电基础参数的监测、数据的统计和分析方法、统计结果的工程应用价值，涉及国内、外在此领域内较新的技术进展以及陕西电科院所开展的相关研究工作。     

Solution of impulsive boundary value problems on infinite intervals

In this paper, the upper and lower solution method and monotone iterative technique are employed to study the boundary value problem for a class of first-order impulsive ordinary differential equations with Carathéodory condition on infinite intervals. Several existence theorems are obtained.     

A novel mathematical teletraffic method to evaluate the interoperation of different standards with NOMA systems using order statistics

Basically, nonorthogonal multiple access (NOMA) allows controllable interferences by nonorthogonal resource allocation with a tolerable increase in receiver complexity, using successive interference cancellation (SIC). In this paper, authors show a novel mathematical model of teletraffic for users accessing, simultaneously, to Wi‐Fi and LTE services by using NOMA, calculating the birth–death process by order statistics. This methodology has not been previously used. The mathematical model is represented by a two‐dimensional Markovian process where the users can born or die in one system or another, independently, and results are validated through simulations. The outcomes demonstrate an increment of the sum‐rate gain for a system where users are ordered in the power domain using order statistics, according to the signal interference plus noise ratio (SINR), compared to a system where these statistics are not employed. By using the proposed mathematical model, the sum‐rate gain increases around 15%, and it is also demonstrated that this algorithm foresees a steady behavior of the sum rate, even when the number of channels is augmented, contrary when no order statistics are employed, in which the sum rate decreases considerably. On the other hand, the blocking probability is also demonstrated based on the chance of moving from one technology to another.     

"How interchangeable are different estimators of effect size?": Correction to Ray and Shadish (1996).

Reports an error in the original article by J. W. Ray and W. R. Shadish (Journal of Consulting and Clinical Psychology, 1996[Dec], Vol 64(6), 1316–1325). On page 1325, a correction is made to column 1, lines 25–26. (The following abstract of this article originally appeared in record 1996-07086-021). The computation of effect sizes is a key feature of meta-analysis. In treatment outcome meta-analyses, the standardized mean difference statistic on posttest scores (d) is usually the effect size statistic used. However, when primary studies do not report the statistics needed to compute d, many methods for estimating d from other data have been developed. Little is known about the accuracy of these estimates, yet meta-analysts frequently use them on the assumption that they are estimating the same population parameter as d. This study investigates that assumption empirically. On a sample of 140 psychosocial treatment or prevention studies from a variety of areas, the present study shows that these estimates yield results that are often not equivalent to d in either mean or variance. The frequent mixing of d and other estimates of d in past meta-analyses, therefore, may have led to biased effect size estimates and inaccurate significance tests. (PsycINFO Database Record (c) 2010 APA, all rights reserved)     

汽车铸件生产工时数理统计计算方法

采用多元非线性回归分析方法 ,对我国汽车铸造生产管理数据进行微机辅助分析 ,得出了铸件生产工时计算公式 ,编制了计算机辅助管理程序。     

Method to compute the reachability set of S3PR

This paper proposes a novel approach to computing the reachability set by using place invariants and strict minimal siphons for S³PR with specific resource places. First, the set of invariant markings is enumerated. Then a necessary and sufficient condition is developed to decide whether a marking is spurious by analyzing the relationship between the number of tokens in the corresponding places of any strict minimal siphon and their bounds. In addition, the spurious markings are calculated. Finally, the reachability set of the net is generated by removing all the spurious markings from the set of invariant markings. Experimental results show the efficiency of the proposed method.     

数理统计方法在混凝土施工中的应用——以桂林某飞机场停机坪扩建工程为例

应用数理统计方法 ,对桂林某飞机场扩建工程站坪混凝土层的抗折强度数据 ,进行了计算、分析和比较 ,其标准偏差S及变异系数Cv 值越小 ,混凝土质量越好。该方法可以科学地评价和了解工程质量状况及波动规律 ,对提高工程质量具有指导意义     

模糊系统逼近理论：现状与展望

近年来,各类模糊系统已被证明是万能函数逼 近器,它们能实现任意的非线性连续控制规律和动态模型．本文综述与分析了模糊系统逼近 理论研究的最新成果,并指出了进一步研究工作的方向．     

关于凸函数的两个充要条件

给出并证明了凸函数的两个充要条件,并由此推出凸函数的两个重要推论。