Lifting Unitary Elements with Application to Approximately Inner Automorphisms

Let A be a separable unital nuclear simple C＊-algebra with torsion K0 （A）, free K1 （A） and with the UCT. Let T ： A→M（K）/K be a unital homomorphism. We prove that every unitary element in the commutant of T（A） is an exponent, thus it is liftable. We also prove that each automorphism α on E with α ∈ Aut0（A） is approximately inner, where E is a unital essential extension of A by K and α is the automorphism on A induced by α.     

导数同步荧光光谱对不同产区熟地黄的鉴别

实验测定了不同产区熟地黄的三维同步荧光光谱,提取其特征参数,发现不同产区熟地黄的有效荧光成分相似,并建立了谱-效关系,为临床用药剂量提供参考。进一步,对不同产区熟地黄的同步荧光发射光谱分别求一阶导数和二阶导数,放大了同步荧光发射谱的肩带,可区分光谱的细微变化,建立了鉴别不同产区熟地黄的导数同步荧光光谱方法。     

光纤激光共孔径光谱合成实现5 kW高效优质输出

采用多层介质膜衍射光栅实现多路高功率光纤激光共孔径光谱合成有望成为光纤激光同时实现高功率、高效率和高光束质量的最具发展潜力的技术途径。搭建了一套基于双光栅色散补偿设计的5 kW共孔径光谱合成系统。采用国产多层介质膜衍射光栅实现了5路kW级窄谱子束激光的高效优质共孔径光谱合成,最大输出功率达5.07 kW,光束质量因子(M2)小于3,合成效率达到91.2%。初步研究表明：多层介质膜衍射光栅在较高功率水平、较宽光谱范围内均能保持较高衍射效率,是实现高功率光纤激光高效率光谱合成的重要器件;参与合成的子束自身的光束质量水平和线宽是影响合成输出光束质量的重要因素,光谱合成系统的输出功率主要受限于窄谱子束的输出功率和合成路数,增加窄谱子束的功率或合成路数均可进一步提升系统的输出功率。     

GM(1,1)改进模型及其应用

根据 GM( 1 ,1 )灰色模型的指数特性 ,通过在区间上求积分给出了关于背景值的一个比较确切的计算公式 ,讨论了由此建立的 GM( 1 ,1 )改进模型的适用范围和预测精度 .结果表明改进模型比原 GM( 1 ,1 )模型适用性要强、模拟和预测精度要高 ,不仅适用于低增长序列、也适用于高增长序列 ,不仅适用于短期预测 ,同样也适用于中、长期预测     

带非局部源的退化半线性抛物型方程解的爆破

该文研究带Dirichlet边界条件的退化半线性抛物型方程:xqut-uxx=∫0af(u)dx,这里q>0.作者证明了局部解的存在唯一性并且得到当初值充分大时解在有限时刻爆破.进而,证明解的爆破点集是整个区间[0,a],这与具有局部源的方程解的性质不同.     

Design of Broadband L-band Erbium Doped Fiber Amplifier

1　Ｉｎｔｒｏｄｕｃｔｉｏｎ　　Ｗａｖｅｌｅｎｇｔｈ ｄｉｖｉｓｉｏｎｍｕｌｔｉｐｌｅｘｉｎｇ(ＷＤＭ )ｍｅｔｈｏｄｇｉｖｅｓａｓｏｌｕｔｉｏｎｏｆｄｅｍａｎｄｏｎｔｈｅｈｉｇｈｓｐｅｅｄａｎｄｈｉｇｈｃａｐａｃｉｔｙｔｒａｎｓｍｉｓｓｉｏｎ .ＯｎｅｏｆｔｈｅｋｅｙｔｅｃｈｎｏｌｏｇｙｏｆｔｈｅＷＤＭｔｒａｎｓｍｉｓｓｉｏｎｉｓｔｏｂｒｏａｄｅｎｂａｎｄｗｉｄｔｈｏｆｅｒｂｉｕｍ ｄｏｐｅｄｆｉｂｅｒａｍｐｌｉｆｉｅｒ (ＥＤＦＡ)ａｎｄｔｏｇｅｔｔｈｅｗｉｄｅｂａｎｄａｎｄｆｌａｔ ｇａｉｎＥＤＦＡ .…     

ARL 9800XP型X射线荧光光谱仪的故障及维修

介绍了一例ARL-9800X射线荧光光谱仪的故障及故障排除的措施。     

Limit relations for three simple hyperbolic systems of conservation laws

This paper is concerned with the limit relations from the Euler equations of one‐dimensional compressible fluid flow and the magnetohydrodynamics equations to the simplified transport equations, where the δ‐shock waves occur in their Riemann solutions of the latter two equations. The objective is to prove that the Riemann solutions of the perturbed equations coming from the one‐dimensional simplified Euler equations and the magnetohydrodynamics equations converge to the corresponding Riemann solutions of the simplified transport equations as the perturbation parameterx ε tends to zero. Furthermore, the result can also be generalized to more general situations. Copyright © 2009 John Wiley & Sons, Ltd.     

驾驶员可靠性筛选数学模型分析

利用随机分组测试理论和算法,建立了汽车驾驶员安全可靠性筛选的定量分析数学模型,在统计分析观察时间段的基础上,可以筛选出安全可靠的驾驶员,驾驶员年龄段,为选拔汽车驾驶员,提高驾驶员素质,防止人为差错导致交通事故,提供理论依据.     

Some sufficient conditions for tunnel numbers of connected sum of two knots not to go down

In this paper, we show the following result: Let K _i be a knot in a closed orientable 3-manifold M _i such that (M _i ,K _i ) is not homeomorphic to (S ₂ ×S ₁, x ₀ ×S ₁), i = 1, 2. Suppose that the Euler Characteristic of any meridional essential surface in each knot complement E(K _i ) is less than the difference of one and twice of the tunnel number of K _i . Then the tunnel number of their connected sum will not go down. If in addition that the distance of any minimal Heegaard splitting of each knot complement is strictly more than 2, then the tunnel number of their connected sum is super additive.