一类分数阶微分方程积分边值问题正解的分歧性

利用分歧方法和拓扑度理论,研究了一类带参数的分数阶微分方程积分边值问题正解的存在性.根据格林函数的性质,得到了系统正解的存在的若干充分条件.最后,通过数值例子验证了所得结果的有效性.     

数学教学中关于创新情境的营造及创新能力培养

跨世纪人才能力的核心是创造，没有创新意识就谈不上创造，因而作为全面实施素质教育的根本途径和主渠道的课堂教学，就不能不把营造创新环境，培养创新意识和能力作为重要宗旨，本从数学教学改革的理论和实践上对此作了论述。     

Role of the interlayer interactions in ultrafast terahertz thermal dynamics of bilayer graphene

Bilayer graphene, which is highly promising for electronic and optoelectronic applications because of its strong coupling of the Dirac–Fermions, has been studied extensively for the emergent correlated phenomena with magic-angle manipulation.Due to the low energy linear type band gap dispersion relationship, graphene has drawn an amount of optoelectronic devices applications in the terahertz region. However, the strong interlayer interactions modulated electron-electron and electron-phonon coupl...     

水液相环境α-丙氨酸Ni（Ⅱ）配合物的对映异构机理

采用密度泛函理论(DFT)的M06和MN15方法,结合极化连续介质的SMD模型方法,研究了水液相下α-丙氨酸(α-Ala)二价镍(α-Ala·Ni²⁺ )配合物的对映异构化机制。反应通道研究发现：α-Ala·Ni²⁺ 可以在以羰基O、氨基N和Ni作H质子迁移桥梁的3个通道实现。势能面计算表明：以氨基N作质子迁移桥梁的反应通道最具优势,反应的决速步能垒是92.6 kJ/mol。结果表明：水液相下α-Ala·Ni²⁺ 会缓慢地消旋,因此只能短期且少量地用于生命体同补α-丙氨酸和二价镍。     

磷酸盐激光玻璃在干燥空气和纯水下的摩擦磨损性能研究

通过直线往复摩擦磨损试验机,采用氧化铝陶瓷球作为对摩副,对比研究了磷酸盐激光玻璃在干燥空气和纯水中的摩擦磨损性能.结果表明:纯水下的摩擦系数远小于干燥空气中,液态水在摩擦过程中起到了一定的润滑作用.同等载荷下,磷酸盐激光玻璃的磨损深度和磨损体积在纯水中远大于干燥空气下,水促进了玻璃的材料去除,该玻璃在水下以摩擦化学磨损为主.虽然玻璃在水中的磨损深度较深但是其次表面损伤较浅,这归因于水润滑下摩擦剪切应力的大幅度降低.而干燥环境下,由于纯机械作用,其磨损深度较小,材料损伤以裂纹滋生和脆性剥落为主,并同时引发严重的次表层损伤.     

A THEORETICAL ANALYSIS OF LOTKA''''S MODEL IN CLOSED SYSTEM

In this paper, the Lotka's model in closed system has been discussed in detail. Considering the consumption of reaction reagent, this model is analysed in accordance with the first order harmonic wave approximation and digital calculated by using the microcomputer.For the various initial conditions (according to, approaching, deviating from and deviating far from the Lotka's steady-state condition) the corresponding chemical oscillation behaviours are studied. The rules in connection with the time dependence of corresponding concentrations and the reaction trajectories in the relative component concentration phase space are obtained. The effectual regions in regard to the first order harmonic wave are examined. The relative results may be used to explain some important chemical oscillation phenomena, such as the sustained, damped and exploded oscillations.     

SiO_2基底中MnFe_2O_4纳米晶的制备与表征

在N,N-二甲基甲酰胺(DMF)存在下,以溶胶-凝胶技术成功地制备了无定形二氧化硅基底中均匀分布的MnFe_2O_4纳米晶.由粉末X射线衍射和电子衍射确证了MnFe_2O_4纯相的生成. 由粉末X射线衍射和红外吸收光谱研究了MnFe_2O_4纳米晶形成过程.尖晶石结构的MnFe_2O_4在800℃时开始形成,900℃时基本完成.磁性质测量表明在烧结到900℃的样品中,MnFe_2O_4纳米晶室温具有超顺磁性,78K时为软磁性.1000℃ 和1100℃下得到的样品室温和78K时都具有软磁性.     

离子液体[BMIM]Cl预处理对微晶纤维素酶解的影响

以微晶纤维素为研究对象, 设计了离子液体1-丁基-3-甲基咪唑氯盐(1-butyl-3-methylimidazolium chloride, [BMIM]Cl)预处理微晶纤维素Avicel的实验方法以实现纤维素的高效酶解糖化. 在[BMIM]Cl中Avicel完全溶解, 经水洗沉淀得到再生纤维素, 回收后的离子液体可重复利用. 预处理后底物酶解的可溶性糖转化率在24 h时高达94.65%, 较之同样条件下未经预处理底物的酶解糖转化率(48.57%)有飞跃性提升. 进一步考察了离子液体预处理对纤维素结构及形态的影响, 结果表明: [BMIM]Cl预处理后Avicel氢键减弱; 结晶度明显下降, 结晶型态由纤维素I型转变为纤维素II型; 由规整的平行排布转变为疏松有孔的无序形貌. 正是离子液体预处理引起的纤维素微观与宏观结构性质的显著改变使得再生后纤维素酶解的可溶性糖转化率大幅提高.     

Experimental investigation on pulse-contrast degradation caused by surface reflection in optical parametric chirped-pulse amplification

In this Letter, we experimentally explore the pulse-contrast degradation caused by surface reflection in optical parameter chirped-pulse amplification. Different pump-to-signal conversion efficiencies and post-pulses with different intensities are obtained by changing the seed-pulse or pump-pulse energy and inserting etalons with different reflection coefficients, respectively. The contrast measurements show that the generated first pre-pulse intensity is proportional to the product of the surface reflection intensity ratio and the square of the pump-to-signal conversion efficiency.     

基于高斯拟合的光纤型SPR信号的峰值检测算法

光纤型表面等离子共振光谱具有半峰宽较宽,共振峰不尖锐等特征,传统的针对棱镜型SPR光谱的峰值检测算法无法准确定位此类光谱的共振峰值。为了准确计算光纤型SPR光谱的共振波长,提出了一种基于信赖域算法的高斯拟合方法,在拟合的光谱曲线上利用一维搜索的方式确定峰值位置。通过对标准甘油光谱数据的处理,证明高斯拟合法能够适应光纤型SPR光谱的特征,波长计算准确。通过搭建的SPR系统,实验测量了不同浓度下蔗糖溶液的SPR光谱数据,并分别采用加权质心法,追踪质心法和该研究提出的高斯拟合法进行共振波长的计算。结果表明高斯拟合法能够有效提升分辨率,且运算速度较快,有利于工程集成。