第二讲 行程问题

在小学数学应用题这一大家庭中,行程问题是其中最为重要的一类。它以丰富多彩的内容、变化多端的解法,对广大少年儿童产生着巨大的吸引力,它对提高少年儿童分析问题、解决问题的能力有着十分重要的作用,在各级各类竞赛中,它是每赛必有,并经常被当作拉开考生档次的把关题。     

态|ψ3(3)〉q中广义磁场分量的N次方Y压缩效应

构造了由多模复共轭相干态|{Z_j^*}〉_q、多模复共轭虚相干态|{iZ_j^*}〉_q和多模真空态|{Q_j} 〉_q这三态的线性叠加所组成的第Ⅲ类三态叠加多模叠加态光场|ψ₃⁽³⁾〉_q.利用多模压缩态理论研究了态|ψ₃⁽³⁾〉_q中广义磁场分量的任意偶数次广义非线性等幂次N次方Y压缩特性.结果发现:在压缩次数N取偶数,只要各模的初始相位φ_j(j=1,2,3,…,…,q),态间的初始相位差(θ_i-θ₂)(i=1,3)和各单模相干态光场平均光子数R_j²之和 分别满足各自的取值条件,态|ψ₃⁽³⁾〉_q的广义磁场分量(即第一正交相位分量)就可呈现出周期性变化的、任意偶数次的广义非线性等幂次N次方Y压缩效应.     

用光纤传感器对冷凝制备高纯CO_2液体样品实时临测

本文采用光导纤维作为传感器，在低温加压条件下对高纯ＣＯ２气体的液化及固化过程进行动态直接监测，根据光通量的变化（对应光电信号的毫伏数）直观而准确地判断样品室内的液化起始时刻，液面位置，液体沸沸状态，以及区分出气相、液相和固相的状态．该传感器的采用克服了文献［１］所用的间接估算法的局限性，确保了制样过程数据的准确性，提高了制样过程的重复一致性，因而对提高冲击波试验的测量精度具有重要意义．本文介绍的传感技术同样适用于其他小分子液体制样过程的监测．     

球形Taylor-Couette流分叉解的数值模拟研究

用差分方法求解轴对称定常不可压N-S方程,对内球旋转、外球不动的两同心球(间隙比σ=0.18)之间的流体在Re_c_1≤1 500范围内的定常分叉流动进行了数值模拟。模拟结果表明在775≤Re≤1 220时可以存在稳定的1-涡和2-涡两种流态,而在1 220<Re≤1500时可以存在稳定的0-涡,1-涡和2-涡3种流态.同一Re数下不同流态的形成和初始条件有关,而用不同的内球角加速度可以得到不同的初始条件.     

天文观测相机低噪声CCD视频处理电路的分析与设计

在讨论天文观测相机低噪声视频处理电路的基础上,对前置放大、差分放大、可编程增益放大、相关双采样及16bit模数转换等关键组成部分进行了分析,给出各组成部分的设计方法。对所设计的低噪声视频处理电路进行了PSPICE仿真和实验测试,仿真和实验结果表明,该视频处理电路在本身引入噪声较小的同时,有效地抑制了CCD的复位噪声和1/f等低频噪声,使天文观测相机的整机噪声<15e-,达到了指标要求。     

Structural Stability of CaCuMn6O12 under High Pressure and Low Temperature

In situ high pressure energy-dispersive x-ray synchrotron radiation diffraction and resistance experiments are carried out on CaCuMn6O12. Its crystal structure is stable in the measured pressure range. The equation of state of CaCuMn6O12 is obtained from the V/Vo - P relationship （V and Vo are the volumes at pressure P and at atmosphere）. The bulk modulus Bo is calculated based on the Birch-Murnaghan equation. Low temperature x-ray diffraction shows no phase transition occurring down to 160K.     

Shear Viscosity to Non-Equilibrium Entropy Density Ratio of Hot Quark-Gluon Plasma at Finite Chemical Potential

In the framework of irreversible thermodynamics, we study the transport properties of hot quark-gluon plasmas. The viscous entropy production at finite chemical potential as well as the shear viscosity to non-equilibrium entropy density ratio is investigated in weakly coupled limit by using kinetic theory. The results show that the chemical potential contributes positively to their ratio compared to the pure temperature case. The ratio exhibits two boundaries in the coupling strength in which a minimum value of 0.42 is found at αs=0.6.     

Concentric-Ring Patterns in a Helium Dielectric Barrier Discharge at Atmospheric Pressure

We perform the theoretical simulation of the concentric-ring patterns between two parallel electrodes covered with thin dielectric layers within the scope of a two-dimensional diffusion-drift model at atmospheric pressure. The time evolution of the discharge patterns is studied and the concentric-ring patterns with different radii shift alternately. The spatial-temporal evolution of electron density in a cycle at different time scales is performed.     

2-连通P3-支配图的哈密尔顿性

设G是n阶2-连通P3-支配图,我们证明了如果δ≥n/4,则G是哈密尔顿的或G∈F ∪{K2,3,K1,1,3},这里F是一类已知的2-连通非哈密尔顿图.