On the Differential Polynomial of a Graph

We introduce the differential polynomial of a graph. The differential polynomial of a graph G of order n is the polynomial B(G; x) :=∑?(G)k=-nB_k(G) x~(n+k), where B_k(G) denotes the number of vertex subsets of G with differential equal to k. We state some properties of B(G;x) and its coefficients.In particular, we compute the differential polynomial for complete, empty, path, cycle, wheel and double star graphs. We also establish some relationships between B(G; x) and the differential polynomials of graphs which result by removing, adding, and subdividing an edge from G.     

On a certain classes of meromorphic functions with positive coefficients

In this paper certain classes of meromorphic functions in punctured unit disk are defined. Some properties including coefficient inequalities, convolution and other results are investigated.     

线性特性与卡氏定理

<正> 力学中的卡氏(Castigliano)定理是说,变形能“对任一外力 P.的偏导数,等于 P.作用点沿 P.方向上的位移δ,用公式表示这一公式在教科书中是从变形能出发得到的,并且在推导过程中假定所求的位移点及方向上有力作用.但在实际应用中,往往在所要求的点及位移方向上没有力作用.这时教科书告诉我们是用附加力的办     

消息与动态

<正> 台式扭摆转动惯量测试仪台式扭摆转动惯量测试仪由空心转轴台式扭摆和电子测试仪两部分组成.空心转轴台式扭摆作为物理量变换器与电子测试仪连接.空心转轴台式扭摆主要包括空心转轴、可拆卸平台,平面螺旋弹簧、通孔光照式电传感器、定位机构及可调节 V 型架等.可调节 V 型架固定在可拆平台上,可拆卸平台可以放     

Xe对NO(X)微分截面和非弹性散射中的碰撞诱导旋转准直

本文对NO(X)-Xe碰撞系统在碰撞能量为519 cm^-1，测量了完全?-双峰分解的微分截面和碰撞引起的旋转准直力矩. 同时结合初始量子态选择，使用六极杆的非均质电场，借助量子态分辨的测量，利用(1+1'')共振增强的多光子电离和速度离子成像. 结果显示，微分截面以及偏振相关的微分截面均显示与从头算势能面上进行的量子力学散射计算[J. K?os etal. J. Chem. Phys. 137, 014312 (2012)]一致. 通过与准经典轨迹、硬壳势能的量子力学散射以及运动近端模型的比较，评估了势能对所测微分截面和碰撞引起的旋转准直力矩的影响.     

F−(H2O)+CH3I配体交换反应动力学

本文介绍F^?(H₂O)+CH₃I→[FCH₃I]^?+H₂O在交叉分子束碰撞能量0.3∽2.6 eV的配体交换动力学成像结果. 产物的动能受到弱键结合配合物的稳定性的影响，大量水分子的内部激发不利于中间物有效的能量重新分配，随着碰撞增加，低动能受到抑制. 在0.3 eV时，内部亲核取代非常重要，为形成I^?和I^?(H₂O)的竞争性亲核取代途径提供了依据.     

Numerical tests of theoretical models describing ionization of H(1s) atom by linearly polarized flat pulse of laser radiation

We derive the well-known Coulomb correction factor for the Gordon-Volkov wave function describing an outgoing electron in the process of ionization in an intense laser field. Although rigorous treatment would limit its use only to laser fields much lower than the so-called barrier-suppression field, it appears that in practice the correction factor may be used also close to and even above this critical value of the laser field. We compare predictions of several analytical expressions describing ionization rate of the hydrogen atom in its ground state in the strong linearly polarized laser field. We also compare ionization probabilities obtained by integrating these ionization rates over a temporal envelope of the laser pulse with predictions based on the exact numerical solution to the time-dependent Schr ¨odinger equation.     

50 GHz optical true time delay beamforming in hybrid optical/mm-wave access networks with multi-core optical fiber distribution

We propose and experimentally validate an optical true time delay beamforming scheme with straightforward integration into hybrid optical/millimeter(mm)-wave access networks. In the proposed approach, the most complex functions, including the beamforming network, are implemented in a central office, reducing the complexity and cost of remote antenna units. Different cores in a multi-core fiber are used to distribute the modulated signals to high-speed photodetectors acting as heterodyne mixers. The mm-wave carrier frequency is fixed to 50 GHz(VBand), thereby imposing a progressive delay between antenna elements of a few picoseconds. That true time delay is achieved with an accuracy lower than 1 ps and low phase noise.     

质谱分子成像技术与应用进展

该文总结了二次离子质谱、基质辅助激光解吸电离质谱和常压敞开式离子化质谱三大类型质谱分子成像（MSI）技术的概况、技术与方法及其应用新进展。MSI技术作为免标记、高覆盖、高灵敏、检测范围广的可视化分析手段,不局限于生物组织或细胞中某种特定分子的检测,可对已知和未知多种分子进行同时成像分析,获得不同分子的空间分布、相对含量及结构信息,实现其分子的定性、定量与定位分析;还可提供不同生理及病理过程中功能分子的动态时空变化信息等。因此,MSI技术成为质谱领域以及分析化学等领域的研究前沿与热点方向之一,并在化学、医学、生命科学、药学和环境科学等领域显示出重大应用前景。此外,MSI技术是单细胞可视化分析和空间分辨代谢组学的强有力分析手段,可从动物或器官组织的整体、微区、单细胞等不同空间尺度,获取具有空间分布特征、时空动态变化的功能分子全景轮廓信息等而备受关注。