Fully Piecewise Linear Vector Optimization Problems

Journal of Optimization Theory and Applications - We distinguish two kinds of piecewise linear functions and provide an interesting representation for a piecewise linear function between two normed...     

A Note on Quantum Bell Nonlocality and Quantum Entanglement for High Dimensional Quantum Systems

We study the Bell nonlocality of high dimensional quantum systems based on quantum entanglement. A quantitative relationship between the maximal expectation value B of Bell operators and the quantum entanglement concurrence C is obtained for even dimension pure states, with the upper and lower bounds of B governed by C.

     

突出矿井瓦斯抽放限制影响因素的AHP-熵权法评价模型

为提高煤与瓦斯突出矿井瓦斯抽放效果,建立了3个一级指标、14个二级指标的突出矿井瓦斯抽放限制影响因素评价指标体系,利用AHP和熵权法分别确定指标因子主、客观权重.通过实地调研分析和反馈验证了AHP-熵权法的可行性和正确性,利用加权平均法确定评价模型的综合权重.研究表明:封孔方式、钻孔半径、抽放时间、煤体裂隙发育程度和抽放负压是目前影响煤矿瓦斯抽放效果的主控因素.     

The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds

In this paper,we consider the deformed Hermitian-Yang-Mills equation on closed almost Hermitian manifolds.In the case of the hypercritical phase,we derive a priori estimates under the existence of an admissible C-subsolution.As an application,we prove the existence of solutions for the deformed Hermitian-Yang-Mills equation under the condition of existence of a supersolution.     

Maltol as a Novel Agent Protecting SH-SY5Y Cells Against Hemin-induced Ferroptosis

Ferroptosis triggered by hemin is regarded as a primary factor accounting for neuronal death secondary to intracerebral hemorrhage. Thus, compounds with inhibitory effect on hemin-induced ferroptosis might be potential medicines to prevent neuronal death caused by intracerebral hemorrhage. Herein, we investigate whether maltol could alleviate hemin-induced SH-SY5Y cell ferroptosis and its potential mechanisms. It is found that maltol effectively prevents hemin-induced SH-SY5Y cell ferroptosis via three pathways. The first one is inhibiting intracellular iron increase via preventing upregulation of transferrin receptor, the second one is alleviating lipid peroxidation via attenuating H₂O₂ generation by NOX4 and promoting H₂O₂ clearance by catalase, and the third one is to reduce peroxidized lipids via maintaining GPX4/GSH pathway. Therefore, maltol is a novel agent preventing hemin-induced SH-SY5Y cell ferroptosis.     

Optical Trapping with Focused Surface Waves

Near-field optical trapping can be realized with focused evanescent waves that are excited at the water–glass interface due to the total internal reflection, or with focused plasmonic waves excited on the water–gold interface. Herein, the performance of these two kinds of near-field optical trapping techniques is compared using the same optical microscope configuration. Experimental results show that only a single-micron polystyrene bead can be trapped by the focused evanescent waves, whereas many beads are simultaneously attracted to the center of the excited region by focused plasmonic waves. This difference in trapping behavior is analyzed from the electric field intensity distributions of these two kinds of focused surface waves and the difference in trapping behavior is attributed to photothermal effects due to the light absorption by the gold film.     

纳米线组装叶片状三氧化钼的合成及其对三乙胺的气敏性能

通过溶剂热法制备了由一维纳米线自组装的叶状三氧化钼纳米材料，借助X射线衍射（XRD）、场发射扫描电子显微镜（FESEM）、透射电子显微镜（TEM）、高分辨透射电镜（HRTEM）、紫外-可见漫反射光谱（UV-Vis DRS）、热重-示差扫描量热（TG-DSC）、氮气吸附（N₂-sorption）等技术对材料进行了系统的组成和结构表征。结果表明，一维纳米线表面具有粗糙结构，且由一维纳米线组装的叶片状三氧化钼属畸变八面体中的正交晶系，其主要暴露的结晶面是（021）。此叶片状三氧化钼气敏材料在300℃的最佳工作温度下，对2.25 g·m^-3的三乙胺表现出优异的选择性、超高的灵敏度和较快的响应时间（5 s），甚至在浓度为4.5 mg·m^-3的检测标准下响应值仍可达到12.4。基于以上结构表征和性能测试结果，对叶片状三氧化钼的形成及三乙胺敏感机理进行了初步探讨分析。     

基于自由曲面反射镜的低投射比超短焦投影物镜的光学设计

为了设计低投射比的超短焦投影物镜,本文采用自由曲面和折反式的光路结构设计了一种具有低投射比的超短焦投影物镜系统。该物镜由一个旋转对称的折射透镜组和一个自由曲面反射镜组成。采用11.938 mm的数字微镜器件(DMD)作为空间光调制器产生图像源。采用法线加权迭代优化的方法计算自由曲面。最后,分析了系统的性能。仿真结果表明:超短焦投影物镜可在580 mm的投影距离处实现3048 mm尺寸的大屏幕投影,系统的投射比低至0.19,系统的最大畸变小于0.72%。能够满足低投射比超短焦投影物镜的设计要求。该投影系统具有低投射比、低畸变、投影效果好等优点,可为超短焦投影系统的进一步发展提供有益参考。     

基于深度学习的离轴菲涅耳数字全息非线性重构

针对离轴菲涅耳数字全息图,提出基于深度学习的单幅数字全息非线性重构方法 .采用经典的菲涅耳衍射积分模拟数字全息成像以供给网络训练所需样本,利用深度卷积残差神经网络通过学习数字全息图与相关物像之间的非线性数学映射关系实现全息图的物像重构.数值模拟表明,与传统的频率滤波和四步相移技术实现菲涅耳数字全息重构相比,本文提出的方法可直接消除零级像及孪生像,无需条纹物项抽取预处理步骤,且重构的物像具有较高的质量,针对相同记录参考光下不同衍射距离所生成的测试集亦具有较强的稳健性.     

氧化铟掺铪红外透明导电薄膜

采用射频磁控溅射与退火工艺相结合的方法,分别在石英和硒化锌(ZnSe)衬底上制备了掺铪氧化铟(IHfO)薄膜,掺杂比例In2O3∶HfO2为98wt.%∶2wt.%.测试了薄膜的组成结构和3～5μm红外波段的光电性质,分析了退火温度、薄膜厚度和氧气流速对薄膜性能的影响.X射线衍射、扫描电子显微镜和X射线能谱表明,制备的IHfO薄膜具有氧化铟的立方体结构,掺杂铪并没有影响氧化铟的生长方向,但是减小了晶格间距,铪与铟外层电子形成新的杂化轨道.傅里叶变换红外光谱表明,随着退火温度的增加,IHfO薄膜在3～5μm波段的透过率逐渐下降,沉积在ZnSe衬底上的薄膜具有更平稳的透过率,厚度为100nm薄膜在3～5μm波段平均透过率为68%.测试霍尔效应表明,随着氧气流速的增加,IHfO薄膜电阻率逐渐增加,载流子浓度减小,霍尔迁移率变化不明显.晶界散射是影响IHfO薄膜迁移率的主要因素,当氧气流速为0.3sccm时,薄膜最佳电阻率为3.3×10~(-2)Ω·cm.与透可见光波段的导电氧化铟锡(ITO)薄膜相比,制备的IHfO薄膜可以应用在3～5μm红外波段检测气体,红外制导等领域.