与Gamma函数有关的对数完全单调函数及其应用

为了完善函数G_(α,β)(x)(其中参数α∈R,β≥0)及函数1/G_(α,β)(x)在区间(0,∞)上的对数完全单调性和相关不等式,利用Taylor展开式、Gamma函数、Psi函数的级数表达式和积分表达式研究了函数G_(α,β)(x)和函数1/G_(α,β)(x)数的对数完全单调性,将函数G_(α,β)(x)和函数1/G_(α,β)(x)对数完全单调的充分条件扩大;利用对数完全单调性得到新的不等式,并通过对特殊情形的研究,得到一个形式简单对称的双边不等式,该不等式对阶乘数之乘积与∏nk=1k~k的商做出估计.     

Projective synchronisation with non-delayed and delayed coupling in complex networks consisting of identical nodes and different nodes

This paper first investigates the projective synchronisation problem with non-delayed and delayed coupling between drive-response dynamical networks consisting of identical nodes and different nodes.Based on Lyapunov stability theory,several nonlinear controllers are applied to achieve the projective synchronisation between the drive-response dynamical networks;simultaneously the topological structure of the drive dynamical complex networks can be exactly identified.Moreover,numerical examples are presented to verify the feasibility and effectiveness of the theorems.     

能源供需随机系统的稳定性研究

研究了江苏省西部能源供需随机系统的稳定性.主要是基于一维扩散过程的奇异边界理论,应用摄动方法研究系统的随机分岔行为.研究结果表明随机因素以及参数的选择会使系统发生分岔行为,从而使系统的稳定性发生质的变化.于是,可以通过调节参数降低发生分岔的概率,使系统处于稳定的发展中.     

利用“转换法”设计测量稀缺液体的密度计

利用"转换法"设计了可测量稀缺液体密度的密度计,效果较好.     

A comparison of coal supply-demand in China and in the US based on a network model

Through analysis the actual coal supply and demand in the US and China, the properties of the coal supply-demand market in both countries are investigated based on the energy supply-demand network. The validity of our model is verified by comparing numerical results with empirical results. The comparison of empirical results and the comparison of coal network model parameters between in the US and in China reveal the essence of the internal differences and similarities of coal supply and demand in these two countries. The third stage of China＇s coal network was close to that of the US in 1995, indicating that the evolutional situation of China＇s coal market begins to transit to an oligopolistic type. Finally, suggestions for China＇s coal supply-demand strategy are put forward.     

八足状PbS树枝晶的水热合成及演变

以Pb(NO3)2和KSCN为原料,水为溶剂,采用水热法制备出了三维的八足状PbS树枝晶.XRD测试表明粉体为面心立方结构,结晶性好;SEM照片显示粉体为八足状的三维超结构,每足的平均长度5 μm,由边长600～800 nm的片状纳米块自组装而成.结合PbS晶体的结构模型和样品SEM照片的跟踪观察,分析了八足状PbS树枝晶的生长演变过程,为超结构微晶的生长机理研究提供有益参考.     

基于自适应-脉冲控制方法实现时变耦合驱动-响应复杂网络的投影同步

最近,对时变延迟网络的脉冲稳定性的研究大量出现,但通过自适应-脉冲控制方法获得的时变延迟网络同步准则却很少.本文中,运用自适应-脉冲控制方法,设计自适应反馈控制器、自适应律和线性脉冲控制器,研究时变耦合部分线性系统驱动-响应复杂网络的投影同步.获得时变耦合网络的自适应-脉冲投影同步准则.并且不需要网络的耦合构造矩阵是不可约的.另外,运用数值模拟证实方案的有效性和可行性.     

2,5-二-[2-(4-羟基-苯基)乙烯基]吡嗪与白蛋白的相互作用

采用荧光光谱法研究了2,5-二-[2-(4-羟基-苯基)乙烯基]吡嗪(1)与蛋白质的相互作用。在pH=7.40的Tris-HCl缓冲溶液中,以406 nm的光激发该化合物在525 nm处有发光,加入人血清白蛋白或牛血清白蛋白后发光增强,其荧光强度与白蛋白浓度之间呈良好的线性关系,线性范围分别为9.1×10-7     

火焰原子吸收光谱法测定稀土镁硅铁合金中镁

稀土镁硅铁合金试样经氢氟酸和硝酸溶解后,用火焰原子吸收光谱法测定试样溶液中镁的含量。测定时,加入释放剂镧(Ⅲ)溶液,以消除共存物的干扰。镁的质量浓度在0.2~12.0 mg.L-1范围以内与其吸光度呈线性关系,方法的检出限(3s)为0.057 mg.L-1。方法用于两个稀土镁硅铁合金样品分析,加标回收率分别为99.4%,97.6%,相对标准偏差(n=11)分别为0.89%,0.43%。     

The Role of Periodicity in Enhanced Transmission through Subwavelength Hole Arrays

Two kinds of subwavelength hole arrays in metallic films are designed to verify the import, ant role of the periodicity in enhanced transmission of light. The measured optical spectra show that the quasiperiodic hole arrays exhibit an enhanced transmission peak centred at 707nm with a transmission intensity of about 20%, while no plasmon resonance peak is found for the amorphous hole arrays. When the hole diameter decreases in the quasiperiodic structure, the position of the transmission peak shifts slightly, and the transmittance drops, These phenomena indicate the important role of the long-range structural order （particularly the periodicity） in assisting the coupling of incident light wave with the surface plasmon modes of the metallic structures.