MCM-41固载牛血清白蛋白复合材料的制备、表征及发光

本研究首先利用水热法制备出了纳米分子筛MCM-41,然后把牛血清白蛋白(Bovine serum albumin,BSA)物理吸附法固载在主体MCM-41中,制备出(MCM-41)-BSA复合材料。化学分析表明,BSA已进入上述主体材料中,固载量为55.68 mg(BSA)/g(MCM-41)。粉末X射线衍射(XRD)结果表明,复合材料的结晶度保持良好,分子筛的基本骨架保存完好没有由于BSA的引入而遭到破坏。77 K低温N2吸附-解吸附的研究结果说明,BSA部分进入了分子筛孔道中。扫描电镜(SEM)测量结果显示,(MCM-41)-BSA样品的直径为100±10 nm。发光研究表明,(MCM-41)-BSA样品中BSA的构象未发生变化。     

Using the delayed feedback control and saturation control to suppress the vibration of the dynamical system

In the present paper, the delayed feedback control is applied to suppress or stabilize the vibration of the primary system in a two degree-of-freedom dynamical system with parametrically excited pendulum. The case of a 1:2 internal resonance between pendulum and primary system is studied. The method of multiple scales is applied to obtain second-order approximations of the response of the system. The system stability and bifurcations of equilibrium point of the averaged equations are computed. It is shown that the delayed feedback control can be used to suppress the vibration or stabilize the system when the saturation control is invalid. The vibration of the primary system can be suppressed by the delayed feedback control when the original system is in the single-mode motion. The effect of gain and delay on the vibration suppression is discussed. As the delay varies at a fixed value of the gain, the vibration of the primary system can be suppressed at some values of the delay. The vibration suppression performance of the system is improved at a large value of the gain. The vibration of the primary system could be suppressed about 56% compared with the original system by choosing the appropriate values of gain and delay. The delayed feedback control also can be used to stabilize the system when the original system is unstable. The gain and delay could be chosen as the controlling parameters. Numerical simulation is agreement with the analytical solutions well.     

可观测度的探讨及其在捷联惯导系统可观测性分析中的应用

可观测度是为了分析线性系统中组合状态的可观测程度而提出来的,在卡尔曼滤波的滤波效果分析中得到了应用。文中先对已有的两种可观测度分析方法进行了简述,并且分析了两种方法的等价性;然后从理论上分析了此描述方法的不全面性。通过典型例子说明了理论分析的结果,给出了一种更全面的描述系统可观测组合状态可观测度的方法,并且用新的描述方式分析了捷联惯导系统的各状态可观测度。结果表明,该数值刻画方式能够定量的给出系统状态可观测的程度,是解析分析方法的很好的补充。     

Critical exponent for a quasilinear parabolic equation with inhomogeneous density in a cone

In this paper, we study the initial-boundary value problem of porous medium equation ρ(x)u _t  = Δu ^m  + V(x)h(t)u ^p in a cone D = (0, ∞) × Ω, where \({V(x)\,{\sim}\, |x|^\sigma, h(t)\,{\sim}\, t^s}\). Let ω ₁ denote the smallest Dirichlet eigenvalue for the Laplace-Beltrami operator on Ω and let l denote the positive root of l ² + (n ? 2)l = ω ₁. We prove that if \({m < p \leq 1+(m-1)(1+s)+\frac{2(s+1)+\sigma}{n+l}}\), then the problem has no global nonnegative solutions for any nonnegative u ₀ unless u ₀ = 0; if \({p >1 +(m-1)(1+s)+\frac{2(s+1)+\sigma}{n+l}}\), then the problem has global solutions for some u ₀ ≥ 0.     

A new algorithm for decomposition of graphical models

In this paper, we combine Leimer’s algorithm with MCS-M algorithm to decompose graphical models into marginal models on prime blocks. It is shown by experiments that our method has an easier and faster implementation than Leimer’s algorithm.     

非线性互补问题的组合同伦算法

针对拟P_*-映射和P(τ,α,β)-映射所对应的非线性互补问题,本文对其解的存在性及有效求解算法进行了研究.文中利用组合同伦方法给出了这两类非线性互补问题存在有界解的构造性证明,并利用预估校正方法对同伦路径进行跟踪,得到了互补问题的解.通过数值算例验证了该算法的有效性.     

我国潜在产出、自然利率与均衡汇率的联合估计及其应用

本文以开放经济下的新凯恩斯宏观经济动态模型为理论依据,基于状态空间模型方法对我国潜在产出、自然利率以及均衡汇率在统一的框架下进行了定量估计,并进一步计算出相应的产出缺口、实际利率缺口与实际汇率缺口,以此作为参照指标对我国宏观经济波动态势、名义利率调整行为以及人民币汇率水平的合理性进行系列分析。分析表明,本文所得到的估计结果不仅是合理、可靠的,而且可以作为我国宏观经济波动态势判断、货币政策制定和效果评价的有用参考。     

Testing the independence of sets of large-dimensional variables

This paper proposes the corrected likelihood ratio test(LRT) and large-dimensional trace criterion to test the independence of two large sets of multivariate variables of dimensions p1 and p2 when the dimensions p=p1+p2 and the sample size n tend to infinity simultaneously and proportionally.Both theoretical and simulation results demonstrate that the traditional χ2 approximation of the LRT performs poorly when the dimension p is large relative to the sample size n,while the corrected LRT and large-dimensional trace criterion behave well when the dimension is either small or large relative to the sample size.Moreover,the trace criterion can be used in the case of p> n,while the corrected LRT is unfeasible due to the loss of definition.     

All-solid-state continuous-wave frequency doubling Nd:LuVO4/LBO laser with 2.17 W output power at 543 nm

Efficient and compact green-yellow laser output at 543 nm is generated by intracavity frequency doubling of a CW diode-pumped Nd:LuVO₄ laser at 1086 nm under the condition of suppressing the higher gain transition near 1064 nm. With 16 W of diode pump power and the frequency-doubling crystal LBO, as high as 2.17 W of CW output power at 543 nm is achieved, corresponding to an optical-to-optical conversion efficiency of 13.6% and the output power stability over 8 hours is better than 2.86%. To the best of our knowledge, this is the highest watt-level laser at 543 nm generated by intracavity frequency doubling of a diode pumped Nd:LuVO₄ laser at 1086 nm.