关于函数样条一个凸性定理的证明

本文的主要结果是给出文献［１］中函数样条凸性定理４．４的一个直接的证明．     

3-甲基-2(1H)-喹喔啉系列衍生物的电子轰击质谱

用电子轰击质谱（EI－MS）研究了1－烷基－3－甲基－2（1H）－喹喔啉－2－酮（烷基为H，CH3，Et,n-C5H11),1-烷基－3－甲基－6－硝基－2（1H）－喹喔啉－2－酮（烷基为CH3，Et)和1－甲基－3－甲基－6－胺基－2（1H）－喹喔啉－2－酮，结合其结构特征总结出一些裂解规律。讨论了不同取代基对这类化合物熔点的影响，结果表明：在同类喹喔啉化合物中，随着烷基链的增长，样品熔点通常会有所降低，而硝基及胺基的引入会使其熔点升高。     

Stability and Hopf bifurcation analysis in a novel congestion control model with communication delay

In this paper, we investigated Hopf bifurcation by analyzing the distributed ranges of eigenvalues of characteristic linearized equation. Using communication delay as the bifurcation parameter, linear stability criteria dependent on communication delay have also been derived, and, furthermore, the direction of Hopf bifurcation as well as stability of periodic solution for the exponential RED algorithm with communication delay is studied. We find that the Hopf bifurcation occurs when the communication delay passes a sequence of critical values. The stability and direction of the Hopf bifurcation are determined by applying the normal form theory and the center manifold theorem. Finally, a numerical simulation is presented to verify the theoretical results.     

One‐Dimensional Fe2P Acts as a Fenton Agent in Response to NIR II Light and Ultrasound for Deep Tumor Synergetic Theranostics

The stringent reaction conditions for an effective Fenton reaction (pH range of 3–4) hinders its application in cancer therapy. Therefore, how to improve the efficiency of the Fenton reaction in a tumor site has been the main obstacle in chemodynamic therapy (CDT). Herein, we report biocompatible one‐dimensional (1D) ferrous phosphide nanorods (FP NRs) with ultrasound (US)‐ and photothermal (PT)‐enhanced Fenton properties and excellent photothermal conversion efficiency (56.6 %) in the NIR II window, showing synergistic therapeutic properties. Additionally, the high photothermal conversion efficiency and excellent traverse relaxivity (277.79 mm ^?1 s^?1) of the FP NRs means they are excellent photoacoustic imaging (PAI) and magnetic resonance imaging (MRI) agents. This is the first report on exploiting the response of metallic phosphides to NIR II laser (1064 nm) and ultrasound to improve the CDT effect with a high therapeutic effect and PA/MR imaging.     

Hopf and resonant double Hopf bifurcation in congestion control algorithm with heterogeneous delays

The congestion control algorithm, which has dynamic adaptations at both user ends and link ends, with heterogeneous delays is considered and analyzed. Some general stability criteria involving the delays and the system parameters are derived by generalized Nyquist criteria. Furthermore, by choosing one of the delays as the bifurcation parameter, and when the delay exceeds a critical value, a limit cycle emerges via a Hopf bifurcation. Resonant double Hopf bifurcation is also found to occur in this model. An efficient perturbation-incremental method is presented to study the delay-induced resonant double Hopf bifurcation. For the bifurcation parameter close to a double Hopf point, the approximate expressions of the periodic solutions are updated iteratively by use of the perturbation-incremental method. Simulation results have verified and demonstrated the correctness of the theoretical results.     

通道涡稳定性及对损失的影响

采用具有TVD性质的三队精度Godunov格式,对均匀加载叶型及后部加载叶型所构成的叶栅在不同弯角下的流场进行了数值模拟。详细研究了叶片弯曲后对通道涡截面拓扑结构的影响。发现叶片正弯后有利于使通道涡在结构上变得稳定;同时也指出;与常规叶片相比,二次流损失较小的后部加载叮型所构成的叶栅内的通道涡在结构上较为稳定。本文进一步分析了通道涡结构的改变对损失的影响;并指出使通道涡在结构上变得稳定的边界条件可能有助于减少二次流损失。     

高应力回采巷道围岩破裂机理及控制研究

为了研究巷道围岩破裂的危险性与工程地质的相关性, 借助弹塑性力学 的复变函数方法求解了巷道围岩的应力函数, 然后深入研究了高应力回采巷道围岩破裂机理, 提出以危险函数来评价巷道围岩破裂的危险性和确定巷道破裂时的滑移面分布特征的方法, 得到回采巷道的实用控制技术, 此法具有使用性广、计算简便的优点.     

The influence of pH and bath composition on the properties of Fe-Co alloy film electrodeposition

Fe-Co films were electrodeposited on ITO glass substrates from the electrolytes with different molar ratio of Co²⁺/Fe²⁺ and different pH values (2.1, 2.9, 3.7, and 4.3) at 25 °C. The properties of Fe-Co alloy films depend on both Co²⁺ and Fe²⁺ concentrations in electrolyte and pH values was studied. The content of Co increases from 40% to 85% as the mole ratio of CoSO₄/FeSO₄ increasing from 0.50/0.50 to 0.90/0.10 in electrolyte and slightly decreases from 77% to 63% as the pH values increasing from 2.1 to 4.3. The X-ray diffraction analysis reveals that the structures of the films strongly depend on the Co content in the binary films. The surface morphologies of the films are influenced by the combined action of composition and phase structure. The saturation magnetization reaches a maximum value of 2974.03 emu/cm³ and coercivity reaches a minimum value of 42.72 Oe of the Fe_0.30Co_0.70. The saturation magnetization reaches a maximum values of 2974.03 emu/cm³ and coercivity reaches a minimum values of 42.72 Oe of the Fe_0.30Co_0.70 at pH = 2.9.     

铕三元配合物-聚氨酯丙烯酸酯发光材料的合成与荧光性能研究

以1,10-邻菲啰啉和2,7-二羟基萘-3,6-二磺酸钠为配体,合成了铕-2,7-二羟基萘-3,6-二磺酸-邻菲啰啉三元配合物{[Eu(HL)(phen)(H2O)](H2O)3}∞;利用配合物中未参与配位的-OH作为活性基团,以二月桂酸二丁基锡为催化剂,与具有活性基团-NCO的异佛尔酮-二异氰酸酯反应制备铕三元配合物-聚氨酯丙烯酸酯发光材料。通过X射线单晶衍射、红外、热分析和荧光光谱分析,测定了配合物及发光材料的组成、结构、热稳定性和发光性能。结果表明,在496 nm波长激发下,配合物及发光材料在610 nm处能发出较强的特征荧光,且随着配合物含量的增加,荧光性能增强,同时在测试范围内没有发生荧光淬灭现象,是一种极具潜在应用的新型发光材料。     

Slowing down of charged particles in dusty plasmas with power‐law kappa‐distributions

We study the slowing down of a particle beam passing through the dusty plasma with power‐law κ‐distributions. Three plasma components, electrons, ions, and dust particles, can have a different κ‐parameter. By using Fokker‐Planck theory, the deceleration factor and slowing down time are derived and expressed by a hyper‐geometric κ‐function. Numerically, we study the slowing down property of an electron beam in the κ‐distributed dusty plasma. We show that the slowing down in the plasma depends strongly on the κ‐parameters of plasma components, and dust particles play a dominant role in the deceleration effects. We also show dependence of the slowing down on mass and charge of a dust particle in the kappa‐distributed plasma.