Transmission time in the reflectionless complex potential

A phase time definition directly obtained from the Schr6dinger equation is used to investigate the time delay of a particle scattered by complex reflectionless potential. The artifacts introduced by truncating in the numerical simulation are clarified. The time delay of the transmitted wave packet is found to be equal to the reflection time of the truncated potential. Both time delays are the same as the traversal time in the free space, but shorter than the time taken by a classical particle to pass the same potential.     

基于BP神经网络的排爆机械臂逆运动学分析

机械臂逆运动学是已知末端执行器的位姿求解机械臂各关节变量,主要用于机械臂末端执行器的精确定位和轨迹规划,如何高效的求解机械臂运动学逆解是机械臂轨迹控制的难点。针对传统的机械臂逆运动学求解方法复杂且存在多解等问题,提出一种基于BP神经网络的机械臂逆运动学求解方法。以四自由度机械臂为研究对象,对其运动学原理进行分析,建立BP神经网络模型并对神经网络算法进行改进,最后使用MATLAB进行仿真验证。仿真结果表明：使用BP神经网络模型求解机械臂逆运动学问题设计过程简单,求解精度较高,一定程度上避免了传统方法的不足,是一种可行的机械臂逆运动学求解方法。     

Mathematical design of a highway exit curve

A highway exit curve is designed under the assumption that the tangential and normal components of the acceleration of the vehicle remain constant throughout the path. Using fundamental principles of physics and calculus, the differential equation determining the curve function is derived. The equation and initial conditions are cast into a dimensionless form first for universality of the results. It is found that the curves are effected by only one dimensionless parameter which is the ratio of the tangential acceleration to the normal acceleration. For no tangential acceleration, the equation can be solved analytically yielding a circular arc solution as expected. For nonzero tangential acceleration, the function is complicated and no closed-form solutions exist for the differential equation. The equation is solved numerically for various acceleration ratios. Discussions for applications to highway exits are given.     

Accelerated stochastic simulation algorithm for coupled chemical reactions with delays

Some biochemical processes do not occur instantaneously but have considerably delays associated with them. In the existed methods which solve these chemically reacting systems with delays, averaging over a great deal of simulations is needed for reliable statistical characters. Here we present an accelerating approach, called the "Delay Final All Possible Steps" (DFAPS) approach, which does not alter the course of stochastic simulation, but reduces the required running times. Numerical simulation results indicate that the proposed method can be applied to a wide range of chemically reacting systems with delays and obtain a significant improvement on efficiency and accuracy over the existed methods.     

Non-Abelian gauge theories,prepotentials, and Abelian differentials

We discuss particular solutions of integrable systems (starting from the well-known dispersionless KdV and Toda hierarchies) that most directly define the generating functions for the Gromov-Witten classes in terms of a rational complex curve. From the mirror theory standpoint, these generating functions can be identified with the simplest prepotentials of complex manifolds, and we present some new exactly calculable examples of such prepotentials. For higher-genus curves, which in this context correspond to non-Abelian gauge theories via the topological string/gauge duality, we construct similar solutions using an extended basis of Abelian differentials, generally with extra singularities at the branch points of the curve. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 159, No. 2, pp. 220–242, May, 2009.     

并联型光电设备稳定平台稳定解算研究

并联型光电设备稳定平台是针对光电跟踪系统需要而设计的一种新型并联机构,具有两个相互独立的转动自由度。以并联稳定平台为研究对象,介绍了动载体下并联稳定平台的工作原理,进行了并联稳定平台的运动学分析。采用齐次坐标变换方法,推导了从大地坐标系到平台定坐标系的转移矩阵,建立了并联稳定平台的稳定解算模型,进行了并联稳定平台的数值仿真研究。结果表明：随着旋转角增大,并联稳定平台的姿态角偏差和方位角偏差越来越大;在实际控制系统中若不考虑旋转角作用,这将严重影响并联型光电设备稳定平台的稳定精度。该研究为并联型稳定平台控制系统设计提供了一定的理论依据。     

基于约束关系的下颈椎运动测量新方法

下颈椎各个关节准确稳定的运动参数是医生对颈椎病进行诊断的重要依据。本文提出了一种满足颈椎耦合约束关系,基于双目视觉原理的下颈椎运动参数测量方法。首先,根据下颈椎围绕瞬时旋转中心运动的特点和下颈椎耦合运动的规律,建立了满足耦合约束关系的下颈椎运动学模型;其次,在下颈椎解剖学特征位置(棘突和横突)上布置标志点,借助多台摄像机,基于双目视觉原理和三维数字图像相关(3D-DIC)技术,直接测量不考虑耦合约束关系的下颈椎前屈、后伸、左旋、右旋及侧屈等运动时的角度;最后,利用考虑耦合约束关系的运动学模型对下颈椎运动角度变化曲线进行了校正。波动范围的分析结果表明测量的稳定性得到了提高。利用本方法实现了对下颈椎关节运动角度的实时测量,提供了一种对下颈椎关节运动进行稳定测量的有效手段。     

Task Specific and General Patterns of Joint Motion Variability in Upright- and Hand-Standing Postures

The preservation of static balance in both upright- and hand-stance is maintained by the projection of center of mass (CM) motion within the region of stability at the respective base of support. This study investigated, from a degrees of freedom (DF) perspective, whether the stability of the CM in both upright- and hand-stances was predicted by the respective dispersion and time-dependent regularity of joint (upright stance—ankle, knee, hip, shoulder, neck; hand stance—wrist, elbow, shoulder, neck) angle and position. Full body three-dimensional (3D) kinematic data were collected on 10 advanced level junior female gymnasts during 30 s floor upright- and hand-stands. For both stances the amount of the dispersion of joint angle and sway motion was higher than that of the CM and center of pressure (CP) with an inverse relation to time-dependent irregularity (SampEn). In upright-standing the variability of neck motion in the anterior–posterior direction was significantly greater than that of most joints consistent with the role of vision in the control of quiet upright posture. The findings support the proposition that there are both task specific and general properties to the global CM control strategy in the balance of upright- and hand-standing induced by the different active skeletal-muscular organization and the degeneracy revealed in the multiple distributional variability patterns of the joint angle and position in 3D.     

Basics of M‐theory

This is a review article of eleven dimensional supergravity in which we present all necessary calculations, namely the Noether procedure, the equations of motion (without neglecting the fermions), the Killing spinor equation, as well as some simple and less simple supersymmetric solutions to this theory. All calculations are printed in much detail and with explicit comments as to how they were done. Also contained is a simple approach to Clifford algebras to prepare the grounds for the harder calculations in spin space and Fierz identities.     

Collaborative optimization of linear vibrating screen screening efficiency and dynamic response stability based on coupled DEM-MBK simulation

The dynamic response stability of the vibrating screen is an important factor affecting the screening effect and the structural performance of the vibrating screen. In this paper, to improve dynamic response stability and screening efficiency, we optimized the configuration of linear screening process parameters based on the co-optimization method with dual objectives via the virtual experiment. Firstly, a coupled DEM-MBK simulation model was established according to the dynamics of linear screen, and the dynamic response law of the screen machine under material impact was investigated. Secondly, the quantitative index of dynamic response stability according to the time-domain characteristics of the centroid amplitude was established. The trend and significance of three types of screening process parameters, including excitation, damping and structure, on the screening efficiency and dynamic response stability were analyzed through virtual orthogonal experiments. Finally, a parameter configuration scheme to achieve co-optimization was proposed based on the comprehensive balance method. The virtual experiment results show that the screening efficiency and dynamic response stability of the proposed scheme are improved by 3.28% and 49.07%, respectively, compared with the empirical parameter configuration. Obviously, the co-optimization method can maintain high screening efficiency and dynamic response stability at the same time, which is beneficial to improve the service life of the screen surface and screen body.