Azoalkanes—novel flame retardants and their structure–property relationship

A number of symmetrical and unsymmetrical azoalkanes of the general formula R′?N = N?R and related azoxy, hydrazone as well as azine derivatives have been synthesized in order to assess their potential as novel flame retardants for polypropylene alone or in combination with commercially available flame retardants such as alumina trihydrate (ATH), decabromodiphenyl ether (DecaBDE) and tris(3‐bromo‐2,2‐bis(bromomethyl)‐propyl)phosphate (TBBPP). The experimental results show that in the series of different sized azocycloalkanes the flame retardant efficacy decreased in the following order: R = cyclohexyl > cyclopentyl > cyclobutyl > cyclooctanyl >> cyclododecanyl. Whereas in the series of aliphatic azoalkanes compounds the efficacy decreased in the following order: R = n‐alkyl > tert‐butyl > tert‐octyl. In addition, also some of the prepared azoxy, azine, and hydrazone derivatives provide flame retardancy to polypropylene films at already very low concentrations (0.25–1 wt%). Noteworthy is that in contrast to other halogen‐free radical generators, the azoalkanes are also very effective as flame retardants in polypropylene thick moldings. Interestingly, it was found that 4,4′‐bis(cyclohexylazocyclohexyl)‐methane) shows a strong synergistic effect with ATH. Thus, in the presence of 0.5 wt% of azoalkane the ATH loading could be reduced from 60 to 25 wt% and still UL94 V‐2 rating could be reached. Furthermore, the fire testing data reveal that azoalkanes show a synergistic effect with DecaBDE and when used in conjunction with very low loadings of TBBPP. Copyright © 2010 John Wiley & Sons, Ltd.     

特殊工件磨削加工问题研究

对特殊工件的磨削加工过程进行抽象、建模和求解.将砂轮和底座看成刚性坐标系,将工件所在的下台、中台、上台看成可平移旋转的变换坐标系,基于工件母线方程,以砂轮和工件母线相切为紧约束,运用平面坐标变换理论设计加工方案,并对方案进行了误差分析,最后考虑砂轮的实际磨损,分别提出圆柱形和轮式砂轮修整磨削策略.     

次声波武器及其物理基础

分析了两次声波武器的工作原理，并在此基础上对其主要特征加以简要分析。概述了次声波武器的发展现状。     

A periodically poled LiNbO3 optical parametric generator in wavelength conversion from 2 to 3.88-4.34 μm

A periodically poled lithium niobate (PPLN) optical parametric generator (OPG) pumped by a laser diode (LD)-pumped Q-switched Tm,Ho:GdVO4 laser operated at 2.048 μm with pump pulse of 25 ns and repetition rate of 10 kHz is reported.     

Laguerre Polynomials, Restriction Principle, and Holomorphic Representations of SL(2,R)

The restriction principle is used to implement a realization of the holomorphic representations of SL(2,R) on L ² (R ⁺,t dt) by way of the standard upper half plane realization. The resulting unitary equivalence establishes a correspondence between functions that transform according to the character e^–i(2n++1); under rotations and the Laguerre polynomials. The standard recursion relations amongst Laguerre polynomials are derived from the action of the Lie algebra.     

Computing Complex Airy Functions by Numerical Quadrature

Integral representations are considered of solutions of the Airy differential equation w –zw=0 for computing Airy functions for complex values of z. In a first method contour integral representations of the Airy functions are written as non-oscillating integrals for obtaining stable representations, which are evaluated by the trapezoidal rule. In a second method an integral representation is evaluated by using generalized Gauss–Laguerre quadrature; this approach provides a fast method for computing Airy functions to a predetermined accuracy. Comparisons are made with well-known algorithms of Amos, designed for computing Bessel functions of complex argument. Several discrepancies with Amos' code are detected, and it is pointed out for which regions of the complex plane Amos' code is less accurate than the quadrature algorithms. Hints are given in order to build reliable software for complex Airy functions.     

Why Does the Geometric Product Simplify the Equations of Physics?

In the last decades it was observed that Clifford algebras and geometric product provide a model for different physical phenomena. We propose an explanation of this observation based on the theory of bounded symmetric domains and the algebraic structure associated with them. The invariance of physical laws is a result of symmetry of the physical world that is often expressed by the symmetry of the state space for the system implying that this state space is a symmetric domain. For example, the ball of all possible velocities is a bounded symmetric domain. The symmetry on this ball follow from the symmetry of the space-time transformations between two inertial systems, which fixes the so-called symmetric velocity between them. The Lorenz transformations acts on the ball Sof symmetric velocities by conformal transformations. The ball Sis a spin ball (type IV in Cartan's classification). The Lie algebra of this ball is defined a triple product that is closely related to geometric product. The relativistic dynamic equations in mechanics and for the Lorenz force is described by this Lie algebra and the triple product.     

“强光一号”等离子体断路开关及负载的数值计算

 等离子体断路开关（POS）是“强光一号”加速器产生短脉冲γ射线的关键器件之一。应用POS融蚀模型分析了“强光一号”加速器POS与二极管系统的基本工作过程，通过该模型计算获得了POS与二极管系统的总电流以及电子束电流，计算结果与实验结果吻合较好。计算结果表明，“强光一号”POS在工作时并未达到完全磁绝缘状态，其阻抗最终为21.5 Ω，约有60％总电流在二极管负载导通时流过POS，且融蚀模型对POS阻抗增长预测偏高，但由于电流变化较大，二极管负载电压仍能达到4.5 MV左右。     

PPCP用固态脉冲电源的实验研究

 介绍了一种采用半导体开关与磁开关、可饱和脉冲变压器相结合技术的固态脉冲电源，此电源可用于脉冲放电等离子体烟气治理。在理论分析的基础上建立了实验模型，通过实验验证了此类电源的可行性，解决了8支晶闸管开关串联的动静态均压及开通同步性问题，并对可饱和脉冲变压器及磁开关的工作特性进行了分析计算。电源在阻性负载上得到峰值电压37.5 kV、前沿101 ns、脉宽1 μs的脉冲，重复频率300 Hz，输出功率10 kW。     

An extension of a convexity theorem of the generalized numerical range associated with

For any , let be the following subset of :

We show that if , then is always convex. When , it is an ellipsoid, probably degenerate. The convexity result is best possible in the sense that if we have defined similarly, then there are examples which fail to be convex when and .

The set is also symmetric about the origin for all , and contains the origin when . Equivalent statements of this result are given. The convexity result for is similar to Au-Yeung and Tsing's extension of Westwick's convexity result for .