On the covariance of the level sizes in random recursive trees

In this paper we study the covariance structure of the number of nodes k and l steps away from the root in random recursive trees. We give an analytic expression valid for all k, l and tree sizes N. The fraction of nodes k steps away from the root is a random probability distribution in k. The expression for the covariances allows us to show that the total variation distance between this (random) probability distribution and its mean converges in probability to zero. © 2002 Wiley Periodicals, Inc. Random Struct. Alg., 20: 519–539, 2002     

On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation

Digital image restoration has drawn much attention in the recent years and a lot of research has been done on effective variational partial differential equation models and their theoretical studies. However there remains an urgent need to develop fast and robust iterative solvers, as the underlying problem sizes are large. This paper proposes a fast multigrid method using primal relaxations. The basic primal relaxation is known to get stuck at a ‘local’ non-stationary minimum of the solution, which is usually believed to be ‘non-smooth’. Our idea is to utilize coarse level corrections, overcoming the deadlock of a basic primal relaxation scheme. A further refinement is to allow non-regular coarse levels to correct the solution, which helps to improve the multilevel method. Numerical experiments on both 1D and 2D images are presented.     

OPTIMAL SETTING-UP OF KNITTING ELEMENTS AND ITS EFFECT ON TENSION VARIATION

The dynamic yarn tension variations during knitting cycle are very difficult to control and be-come one of barriers to knitting on modern warp knitting machine.Examination of experimentaldata and theoretical analysis show that the relative position of spring rail to knitting elements suchas needle,guide as well as their displacement has noticeable effect on tension variation so that theknitting condition can be much improved by rearrangement of the knitting elements and theirmovement within a knitting cycle.     

关于概率测度收敛的注记(英文)

本文给出并证明了概率测度收敛中不为人俗知的一个结果 .     

Detecting myocardial ischemia with 2-D CVIB imaging method--an in vivo animal experiment study

A 2-D cyclic variation of integrated backscatter (CVIB) imaging method was established for detecting myocardial ischemia. To demonstrate the feasibility and validity of this method, animal experiments were conducted. Acute myocardial ischemia was induced by occluding left anterior descending coronary artery in 10 anesthetized open-chest dogs. While scanning the normal hearts and the ischemic hearts with a B scanner, digital radiofrequency data were acquired by a real-time acquisition system in synchronism. The offline analysis to the radio-frequency signal with the 2-D CVIB imaging method was performed to verify the consistency between the imaging result and the design of the experiment. In addition, 4 dogs in experiment were treated with the heart pacemaker in order to investigate the influence of changing in heart rate on the detection of ischemic myocardium with the proposed method. The experimental result showed that the 2-D CVIB imaging method succeeded in detecting the ischemic myocardium and is a new non-invasive way for the cardiologists to both quantitatively and visually evaluate the contractile performance of the myocardium.     

结构可靠性设计中尺寸变差系数的确定方法

提出了在结构可靠性设计中,根据现有加工条件和设计要求确定几何尺寸变差系数的思想,并给出了当已知精度等级时,直接加工尺寸和组合尺寸变差系数的计算方法和程序。采用该方法使可靠性设计更切合实际。     

取值于Banach空间中的（E1）囿变函数

引入取值Ｂａｎａｃｈ空间中的（Ｅ１）囿变函数的概念，并讨论它与强、弱囿变函数之间的关系．     

UNIFORM CONVERGENCE OF CESARO MEANS OF NEGATIVE ORDER OF DOUBLE TRIGONOMETRIC FOURIER SERIES

In this paper we prove that iff ∈ C([-π,π]2) and the function f is bounded partial p-variation for some p ∈ [1, ∞), then the double trigonometric Fourier series of a function f is uniformly (C;-α,-β) summable (α β＜ 1/p,α,β＞ 0) in the sense of Pringsheim. If α β≥ 1/p, then there exists a continuous function f0 of bounded partial double trigonometric Fourier series of fo diverge over cubes.     

PMSM的高精度感应电势状态观测器与位置估计

提出了永磁同步电动机考虑参数变化时精确的感应电势关系式新模型,建立了微分型和非微分型两种高精度感应电势观测器,证明了感应电势观测器的稳定性和收敛性,分析了参数变动对位置估计的影响.针对无位置传感器矢量控制系统,以内埋式永磁同步电动机为例进行了仿真实验研究,结果表明设计的感应电势状态观测器具有优良的性能.