猜一猜，算一算--估计

1.要是我问你：“你们班上有几个小朋友？”你会先数一数。然后才告诉我正确的数字。如果我再问你：“你住的城市或小镇有多少人？”这次你可没办法一个个去数了。怎么办呢？你可以说一个大概的数字．也就是说。你可以估计你住的城市或小镇有多少人。     

可否走停

你有没有注意到,我们周围的许多事物,只出现两种情形？ 电灯不是开的,就是关的; 婴儿不是睡着的,就是醒着的; 门不是开的,就是关的; 吊桥不是升起的,就是放下的。     

FUNCTIONAL ANALYSIS METHOD FOR THE M/G/1 QUEUEING MODEL WITH OPTIONAL SECOND SERVICE

By studying the spectral properties of the underlying operator corresponding to the M/G/1 queueing model with optional second service we obtain that the time-dependent solution of the model strongly converges to its steady-state solution. We also show that the time-dependent queueing size at the departure point converges to the corresponding steady-state queueing size at the departure point.     

Gauss白噪声激励下分数阶导数系统的非平稳响应

研究了Gauss(高斯)白噪声激励下具有分数阶导数阻尼的非线性随机动力系统的非平稳响应.应用等价线性化方法将非线性系统转化为等价的线性系统,之后采用随机平均法获得系统响应满足的FPK(Fokker-Planck-Kolmogorov)方程,其中分数阶导数近似为一个周期函数.使用Galerkin方法求解FPK方程进而得到系统的近似非平稳响应.数值结果验证了方法的正确性和有效性.     

NONCOMMUTATIVE ORLICZ-HARDY SPACES

Let(Φ, Ψ) be a pair of complementary N-functions and HΦ(A) and HΨ(A) be the associated noncommutative Orlicz-Hardy spaces. We extend the Riesz, Szeg and innerouter type factorization theorems of Hp(A) to this case.     

Analytical and experimental studies on nonlinear characteristics of an L-shape beam structure

This paper focuses on theoretical and experimental investigations of planar nonlinear vibrations and chaotic dynamics of an L-shape beam structure subjected to fundamental harmonic excitation,which is composed of two beams with right-angled L-shape.The ordinary differential governing equation of motion for the L-shape beam structure with two-degree-of-freedom is firstly derived by applying the substructure synthesis method and the Lagrangian equation.Then,the method of multiple scales is utilized to obtain a four-dimensional averaged equation of the L-shape beam structure.Numerical simulations,based on the mathematical model,are presented to analyze the nonlinear responses and chaotic dynamics of the L-shape beam structure.The bifurcation diagram,phase portrait,amplitude spectrum and Poincare map are plotted to illustrate the periodic and chaotic motions of the L-shape beam structure.The existence of the Shilnikov type multi-pulse chaotic motion is also observed from the numerical results.Furthermore, experimental investigations of the L-shape beam structure are performed,and there is a qualitative agreement between the numerical and experimental results.It is also shown that out-of-plane motion may appear intuitively.     

Achievement of chaotic synchronization trajectories of master-slave manipulators with feedback control strategy

This paper addresses a master-slave synchronization strategy for complex dynamic systems based on feedback control.This strategy is applied to 3-DOF planar manipulators in order to obtain synchronization in such complicated as chaotic motions of end-effectors.A chaotic curve is selected from Duffing equation as the trajectory of master end-effector and a piecewise approximation method is proposed to accurately represent this chaotic trajectory of end-effectors.The dynamical equations of master-slave mani...     

碱硅酸盐玻璃的电导率

在Na_2O-SiO_2、K_2O-SiO_2和Cs_2O-SiO_2系统中,已在一定的温度和组成范围内测定过玻璃的电导率。均质的Cs_2O-SiO_2和K_2O-SiO_2玻璃的激活能随着玻璃的成份不同而变化,并且,由于Na_2O-SiO_2玻璃分相作用的影响使其发生不连续的变化。在简单的碱硅酸盐玻璃中,早已发现等温的电导率总是随着碱浓度的增大而增高。电导激活能与成分的关系曲线形式还不太清楚。在某些情况下,根据在各个成分下记录下来的折断点,可用不同斜率的直线描述上述关系;在另外一些情况     

核酸的分子结构--脱氧核糖核酸的结构

我们希望提出脱氧核糖核酸盐 (DNA)的一种结构模式 ,该结构模式将具有十分重要的生物学意义 .泡令 (Pauling)和科里 (Corey)已经提出过一种核酸结构并在稿件正式发表之前很友善地供我们参考[1] .他们的模型含有 3股相互缠绕的长链 ,核酸分子中的磷酸基团都位于中心轴的内侧 ,碱基排布于外侧 .我们认为该模型是不能令人满意的 ,理由如下 :(1)我们相信 ,产生X射线衍射图的是盐 ,而不是自由核酸 .在没有呈酸性的氢原子、尤其是在相互排斥的、带负电荷的磷酸基团都位于DNA长链中心轴附近的情况下 ,究竟靠什么力量将这种结构保持在一起呢 ?(2…     

横观各向同性广义热弹性扩散Rayleigh波在自由表面上的传播

基于广义热弹性扩散理论，边界无应力作用、绝热／恒温和化学势边界条件作用下，研究均匀、横观各向同性、热弹性扩散半空间Rayleigh波的传播．采用Green和kndsay（GL）理论，热扩散和热扩散．力学松弛条件采用4个不同的时间常数加以控制．导出了所研究介质中表面波传播的久期方程．为了说明和比较分析结果，用图形示出了各向异性和扩散对相速度、衰减系数的影响．同时，还推导了某些特殊情况下的频率方程．